Answers
Related Questions
The sum of three consecutive even integers is 36 . find the smallest of them
Answers
Answer:
10
Step-by-step explanation:
You can get the three consecutive integers by using algebraic expressions.
Let's solve.
Let x be the smallest even integer.
Let x+2 be the second even integer.
Let x+4 be the largest even integer.
x+x+2+x+4 = 363x+6 = 363x = 36-63x = 30x = \(\frac{30}{3}\)x = 10Therefore, 10 is the smallest even integer.
x+2 = 10+2 = 12
The second even integer is 12.
x+4 = 10+4 = 14
The largest even integer is 14.
Let's check by adding the three even integers.
10+12+14 = 36
36 = 36
It's correct.
Can I please get some help I’ve been stuck on this question for a while!
Answers
Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes
How many minutes of the ride are spent higher than 28 meters above the ground?The radius of the Ferris wheel is 30 / 2 = 15 meters.
The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.
The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.
The angle between these two positions is 180 degrees.
The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.
Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.
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What is the surface area of the figure shown?
Answers
Answer:
90 square feet.
Step-by-step explanation:
Let's set up an equation!
SA= 2(xy)+2(xz)+2(yz).
Lets say that x=3 y=6 and z=3
We plug it in.
2(18)+2(9)+2(18)= SA
36+18+36=SA
72+18=SA
90=SA
90 square feet = Surface area.
i need the answer of this 9th grade question
Answers
The amount of fabric used to make the number cube is given as follows:
C. 294 cm².
How to obtain the amount of fabric?The amount of fabric used to make the number cube is represented by the surface area of the number cube.
The surface area of a cube of side length a is given by the equation presented as follows:
S = 6a².
The side length for this problem is given as follows:
a = 7 cm.
Hence the surface area of the cube is calculated as follows:
S = 6 x 7²
S = 294 cm².
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Answers
Answer:
a number greater than any assignable quantity or countable number (symbol ∞).
Step-by-step explanation:
Use f(x) = 1
2
x and f -1(x) = 2x to solve the problems.
f(2) =
1
f−1(1) =
⇒ 2
f−1(f(2)) =
⇒ 2
f−1(−2) =
1
⇒ -4
f(−4) =
2
⇒ -2
f(f−1(−2)) =
2
⇒ -2
In general, f−1(f(x)) = f(f−1(x)) =
Answers
Using the function f(x) = 1/2 x and the inverse of the function f⁻¹(x) = 2x, the solutions of the given are :
f(2) = 1, f⁻¹(1) = 2, f⁻¹(f(2)) = 2
f⁻¹(-2) = -4, f(-4) = -2, f(f⁻¹(-2)) = -2
Given a function,
f(x) = 1/2 x
And an inverse function,
f⁻¹(x) = 2x
We have to find the values of the following.
f(2) = 1/2 × 2 = 1
f⁻¹(1) = 2 × 1 = 2
f⁻¹(f(2)) = f⁻¹(1) = 2 × 1 = 2
f⁻¹(-2) = 2 × -2 = -4
f(-4) = 1/2 × 4 = -2
f(f⁻¹(-2)) = f (-4) = 1/2 × 4 = -2
So, in general, f⁻¹(f(x)) = f(f⁻¹(x))
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Construct isosceles triangle ABC such that AB = AC = 10 cm and CB = 9 cm. Measure and write down the size of angle ABC.
Answers
Answer:
∠ABC = 63.26°
Step-by-step explanation:
cos ∠ABC = (9/2)/10
cos ∠ABC = 0.45
∠ABC = 63.26°
What is the coefficient of the x2 term of the algebraic expression 2x4 + x2 - x + 7
Answers
Step-by-step explanation:
2x⁴ + x² − x + 7
= 2x⁴ + 1x² + -1x + 7
The coefficient of the x² term is 1.
The probability that a high school senior wins a prestigious scholarship is 0.13. The probability that a high school senior plays a varsity sport is 0.22 . If the probability that someone plays a varsity sport given that they won the scholarship is 0.55 , then what's the probability that someone wins the scholarship given that they play a varsity sport?
Answers
Answer:
0.325
Step-by-step explanation:
Let A represent the event: winning a prestigious scholarship
Let B represent the event: plays a varsity sport
Given
P(A) = 0.13P(B) = 0.22P(plays a varsity sport given that they won the scholarship)= P(B|A) = 0.55We are asked to find P(wins the scholarship given play a varsity sport) = P(A|B)The formula for conditional probability is
\(P(A|B) = \dfrac{P(A \cap B)}{P(B)}\\\\\\P(B|A) = \dfrac{P(A \cap B)}{P(A)}\)where P(A ∩ B) is the probability of both A and B occurring togetherRewriting the above two equations we get
\(P(A \cap B) = P(A|B)P(B) = P(B|A)P(A)\)
→ \(P(A|B)P(B) = P(B|A)P(A)\)
Plugging in known probabilities,
\(P(A|B) (0.22) = P(0.55)(0.13)\)
\(\begin{aligned}P(A|B) & = \dfrac{0.55 \times 0.13}{ 0.22 }\\& = 0.325\end{aligned}\)
Therefore the probability that someone wins the scholarship given that they play a varsity sport is 0.325
Represent the following sentence as an algebraic expression, where "a number" is the letter x. The difference of 4 and a number
Answers
The algebraic expression "difference of 4 and a number" where the number is letter x is represented as 4 - x.
What is an algebraic expressionAlgebra is an elementary branch of mathematics that deals with the numbers and the basic mathematics operations of addition, subtraction, division and multiplication. Algebraic expression involves arithmetic where the use of unknown quantities along with numbers.
From the question, we have the mathematical statement "difference of 4 and a number" and the number is "a number" is represented with the letter x.
the word difference in mathematics implies Subtraction (-)
Therefore, the mathematical statement "difference of 4 and a number" is represented as 4 - x.
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use the diagram to find the values of x and y
Answers
Answer:
2/7=1.5/x (similar shapes)
2x=1.5 x 7
x= 1.5x7/2
The solution is
The value of x = 5.25
The value of y = 7.5
What are Congruent Triangles?
Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same ( angle, side, angle)
Two sides are equal and the angle between the two sides is equal
( side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (right angle, hypotenuse, side)
Given data ,
Let the triangles be ΔABC , ΔADE , ΔAXZ where the triangles are congruent
The sides of the triangles are given
Now , from the congruent theorem ,
The 2 angles are the same , the corresponding side is the same
A right angle, the hypotenuse and a corresponding side are equal
So , from the congruent theorem , we get
2 / 7 = 1.5 / x
Multiply by 7 on both sides , we get
10.5 / x = 2
Multiply on both sides , we get
2x = 10.5
Divide by 2 on both sides , we get
x = 5.25
Therefore , the value of x = 5.25
7 / 10 = 5.25 / y
Multiply on both sides of the equation , we get
7y / 10 = 5.25
Multiply by 10 on both sides , we get
7y = 52.5
Divide by 7 on both sides of the equation , we get
y = 7.5
Therefore , the value of y is 7.5
Hence ,
The value of x = 5.25
The value of y = 7.5
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The triangles are congruent by the SSS congruence theorem.
Triangles A B C and D E C are connected at point C. Triangle A B C is reflected across B C and then is rotated about point C to form triangle D E C.
Which rigid transformation(s) can map TriangleABC onto TriangleDEC?
reflection, then rotation
reflection, then translation
rotation, then translation
rotation, then dilation
Answers
Triangle A B C is reflected across BC and then is rotated about point C to form triangle D E C.
1) Since SSS Postulate states that if the three sides of one triangle have the same measure as another triangle then both triangles are congruent.
What is the consequence postulate?
The consequence of this Postulate is that these triangles have respectively the same angles.
We have given that,
Triangles A B C and D E C are connected at point C.
Triangle A B C is reflected across BC and then is rotated about point C to form triangle DEC.
2) Notice below both triangles SSS, an example, in this case, an isosceles triangle, firstly reflected (grey one ) then rotated by point C.
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Answer:
reflection then rotation aka A
Step-by-step explanation:
What's the sum of ⅖ and ¾? О A. % • в. ⅐ • C. % O D. 1%0
Answers
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
Answers
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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Johnny uses a wheelbarrow to move planting soil to a delivery truck. The volume of planting soil that fits in the wheelbarrow measures
2
2 feet by
3
3 feet by
1.5
1.5 feet. The delivery truck measures
11
11 feet by
8
8 feet and is
6
6 feet tall. Johnny puts planting soil in the delivery truck until the truck is
70
70% full.
What is the minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is
70
70% full?
Answers
The minimum number of times Johnny needs to use the wheelbarrow until the delivery truck is 70% filled, obtained from the volume of the wheelbarrow and the volume of the truck is about 41 times.
What is the volume of a solid?The volume of a solid is the three dimensional space the solid occupies.
The specified dimensions of the wheelbarrow and truck indicates that the volumes of the wheelbarrow and the truck are;
Volume of the wheelbarrow = 2 ft × 1.5 ft × 3 ft = 9 ft³
Volume of the truck = 11 ft × 8 ft × 6 ft = 528 ft³
70% of the volume of the truck = 70% × 528 ft³ = 369.6 ft³
The number of times Johnny uses the wheelbarrow = 369.6 ft³ ÷ 9 ft³ ≈ 41.0
The number of times Johnny needs to use the wheelbarrow is about 41 times
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If f(x) = 3x-1 and g(x)= x+2 find (f-g) (x)
Answers
Answer:
2x-3
Step-by-step explanation:
f(x) = 3x-1
g(x)= x+2
(f-g) (x) = 3x-1 - (x+2)
Distribute the minus sign
= 3x-1 -x-2
Combine like terms
= 3x-x -1-2
=2x -3
Question 2 The current report quantitatively analyzes three variables - load factors, revenue passenger mile, and available seat miles for American Airlines. The data retrieved for the analysis was extracted from the Bureau of Transportation Statistics, focusing on domestic flights from January 2006 to December 2012. The quantitative analysis focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. Table 2: Summary Statistics of American Airlines (Domestic) Revenue Passenger Miles Mean 6,624,897 Median 6,522,230 Mode NONE Minimum 5,208,159 Maximum 8,277,155 Standard Dev 720,158.571 Variance 518,628,367,282.42 Load Factors Mean 82.934 Median 83.355 Mode 84.56 Minimum 74.91 Maximum 89.94 Standard Dev 3.972 Variance 15.762 Revenue Passenger Miles 9000000 8000000 7000000 6000000 5000000 4000000 3000000 2000000 1000000 0 0 10 American Airlines (Domestic) Performance 20 30 ● Revenue Passenger Miles 40 50 Load Factors Available Seat Miles 60 Mean 7,984,735 Median 7,753,372 Mode NONE Minimum 6,734,620 Maximum 9,424,489 Standard Dev 744,469.8849 Variance 554,235,409,510.06 70 80 Linear (Revenue Passenger Miles) 90 100 Figure 1: American Airlines (Domestic) Performance Write a report based on the given data. Please include additional tests such as hypothesis testing, skewness, z statistic, level of significance, and other necessary tests, as well as a discussion of the results obtained.
Answers
The z-statistic test was conducted to determine the Deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
Report on the Analysis of American Airlines (Domestic) PerformanceThe quantitative analysis focused on three variables- load factors, revenue passenger miles, and available seat miles for American Airlines.
The Bureau of Transportation Statistics data for domestic flights from January 2006 to December 2012 was retrieved for the analysis. The quantitative analysis also focused on finding critical statistical values like mean, median, mode, standard deviation, variance, and minimum/maximum variables. The results of the data are summarized in Table 2. Revenue Passenger Miles (RPM) mean is 6,624,897, the median is 6,522,230, and mode is NONE. The minimum is 5,208,159 and the maximum is 8,277,155. The standard deviation is 720,158.571, and the variance is 518,628,367,282.42.
Load Factors (LF) mean is 82.934, the median is 83.355, and mode is 84.56. The minimum is 74.91, and the maximum is 89.94. The standard deviation is 3.972, and the variance is 15.762. The Available Seat Miles (ASM) mean is 7,984,735, the median is 7,753,372, and mode is NONE. The minimum is 6,734,620, and the maximum is 9,424,489. The standard deviation is 744,469.8849, and the variance is 554,235,409,510.06.Figure 1 above displays the performance of American Airlines (Domestic).
The mean RPM is 7,984,735, and the linear regression line is y = 50584x - 2.53E+8. The linear regression line indicates a positive relationship between RPM and year, with a coefficient of determination, R² = 0.6806. A coefficient of determination indicates the proportion of the variance in the dependent variable that is predictable from the independent variable. Therefore, 68.06% of the variance in RPM is predictable from the year. A one-way ANOVA analysis of variance test was conducted to determine the equality of means of three groups of variables; RPM, ASM, and LF. The null hypothesis is that the means of RPM, ASM, and LF are equal.
The alternative hypothesis is that the means of RPM, ASM, and LF are not equal. The level of significance is 0.05. The ANOVA results indicate that there is a significant difference in means of RPM, ASM, and LF (F = 17335.276, p < 0.05). Furthermore, a post-hoc Tukey's test was conducted to determine which variable means differ significantly. The test indicates that RPM, ASM, and LF means differ significantly.
The skewness test was conducted to determine the symmetry of the distribution of RPM, ASM, and LF. The test indicates that the distribution of RPM, ASM, and LF is not symmetrical (Skewness > 0).
Additionally, the z-statistic test was conducted to determine the deviation of RPM, ASM, and LF from the mean. The test indicates that RPM, ASM, and LF significantly deviate from the mean.
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A marketing firm conducts a survey to determine the ages of their survey subjects who like a new health drink.
This is the resulting data from their survey:
49, 63, 78, 22, 41, 39, 75, 61, 63, 65,
58. 37. 45, 52, 81, 75, 78, 72, 68, 59,
72, 85, 63, 61, 75, 39, 41, 48, 59,55
61, 25, 61, 52, 58, 71, 75, 82, 49, 51
The mean age of the subjects who like the new health drink is (type your answer...)
and the median age of the subjects is (type your answer..)
Answers
Answer:
Mean = 59.1, Median = 61
(there might have been a mistake in calculation (a lot of numbers!))
Step-by-step explanation:
The sample size is 40,
Now, the formula for the mean is,
Mean = (sum of the sample values)/(sample size)
so we get,
\(Mean = (49+63+78+22+41+39+75+61+63+65+58+37+45+52+81+75+78+72+68+59+72+85+63+61+75+39+41+48+59+55+61+25+61+52+58+71+75+82+49+51)/40\\Mean = 2364/40\\Mean = 59.1\)
To find the median, we have to sort the list in ascending (or descending)order,
we get the list,
22,25,37,39,39,41,41,45,48,49,
49,51,52, 52,55,58, 58, 59, 59, 61,
61, 61, 61, 63, 63, 63, 65, 68, 71, 72,
72, 75, 75, 75, 75, 78, 78, 81, 82, 85
Now, we have to find the median,
since there are 40 values, we divide by 2 to get, 40/2 = 20
now, to find the median, we takethe average of the values above and below this value,
\(Median = ((n/2+1)th \ value + (n/2)th \ value )/2\\where, \ the\ (n/2)th \ value \ is,\\n/2 = (total \ number \ of \ samples) /2\\n/2=40/2\\(n/2)th = 20\\Hence\ the (n/2)th \ value \ is \ the \ 20th \ value\)
And the (n+1)th value is the 21st value
Now,
The ((n/2)+1)th value is 61 and the nth value is 61, so the median is,
Median = (61+61)/2
Median = 61
Select all the statements that are true.
π is irrational because π is a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.
7√ is rational because 7 is not a perfect square.
π is irrational because π is not a repeating decimal.
Answers
The true statements are,
π is irrational because π is a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.
7√ is rational because 7 is not a perfect square.
What are irrational numbers?Irrational number are real numbers that cannot be expressed as a ratio of two integers.
When an irrational number is expressed in decimal form, it goes on forever without repeating.square roots like √2 ,√3, √5.. are irrational number.Now we have,
→π is irrational because π is a repeating decimal.
Since, the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.
Hence π is irrational.
⇒This statement is true.
→√7 is irrational because 7 is not a perfect square.
Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.
Therefore,√7 is irrational
⇒This statement is true.
→7.1234… is irrational because it is a non terminating, non repeating decimal.
Since,the value of decimal in 7.1234… goes on forever and repeating.
Therefore,7.1234… is irrational.
⇒This statement is true.
→√7 is rational because 7 is not a perfect square.
Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.
Therefore,√7 is irrational
⇒This statement is true.
→π is irrational because π is not a repeating decimal.
π is irrational because the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.
⇒This statement is false.
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SHOW WORK!!! ASAP!!! Thank you
Answers
Answer:
Not an isosceles trapezoidStep-by-step explanation:
Plot the given points.
We can see and visually confirm this is not isosceles.
(1,1) to (3, 3) distance is:
\(AD = \sqrt{(1-3)^2+(1-3)^2 } = \sqrt{8} = 2\sqrt{2}\)(5,3) to (8, 1) distance is:
\(BC = \sqrt{(5-8)^2+(3-1)^2 } = \sqrt{13}\)We see AD ≠ BC
The sides are not of the same length.
Find sides of aD and BC
AD:-
√(1-3)²+(1-3)²√2²+2²√8BC
√(8-5)²+(1-3)²√(3)²+(-2)²√9+4√13No it's not isosceles
10 POINTS PLEASE HELP
Answers
Answer:
m∠A = 49°
Step-by-step explanation:
According to Angle Sum Property,
angles of the Δ add up to 180°∠A + ∠B + ∠D = 180°5x - 6 + 7x - 24 + 78 = 18012x + 48 = 180x + 4 = 15x = 11m∠A
5x - 65(11) - 655 - 649°Which explicit formula can be used to find the account's balance at the beginning of year 15?
Answers
Solution
Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.
here
P = $450
R = 5% = 0.05
T = n - 1
Since Amount = Principal + Interest
Interest = PRT
\(\begin{gathered} A(n)=450+\left(n-1\right)(450\times0.05) \\ \end{gathered}\)\(A(15)=450+(15-1)(450\times0.05)=\$765.00\)The correct option is C.
There were 100 random samples of the same size taken from a population which is known to have a normal distribution with some mean and a known standard deviation. A 95% confidence interval for the population mean was constructed for each of the 100 random samples. If all the conditions are satisfied, what percentage of these confidence intervals would capture the true population mean? Choose the correct answer below.
A. 100% of them
B. At least 50% but no more than 75% of them
C. Approximately 95% of them
D. This cannot be determined without knowing the population mean.
Answers
The percentage of confidence intervals that would capture the true population means is approximately 95% of them. which is the correct answer would be option (C).
There were 100 random samples of the same size drawn from a population known to have a normal distribution with a mean and a standard deviation.
For each of the 100 random samples, a 95% confidence interval for the population mean was created.
Since all the conditions are satisfied,
Therefore, the percentage of confidence intervals that would capture the true population means is approximately 95% of them.
Hence, the correct answer would be an option (C).
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3:Let f be a quadratic function such that
f(x) = ax² +bx+c = a (x-h)² + k
If k < 0, for what values of a will f(x) have no real zeros?
O a=0
O a<0
O azo
4.
O a>0
O aso
none of the answer choices
Answers
Answer:
O a=0
Step-by-step explanation:
You buy 3 gallons of milk at $2.48/gallon, 2 gallons of
ice cream at $1.49/gallon, and 4 lbs of strawberries at
$0.58/1b. What is your total cost?
(1 point)
O$9.51
O$12.74
0$4.55
O$10.67
Answers
The total cost is $12.74
In this question, we have been given the cost of 1 gallon of milk, 1 gallon of ice-cream and 1 1b of strawberry.
1 gallon of milk costs $2.48,
1 gallon of ice-cream costs $1.49
and 1b of strawberry costs $0.58
You buy 3 gallons of milk, 2 gallons of ice cream, and 4 lbs of strawberries.
So by unitary method total cost would be,
(3 * 2.48) + (2 * 1.49) + (4 * 0.58) = $12.74
Therefore, the total cost is $12.74
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Which expression is equivalent to 3(x + 2) + 5(x - 3)
Answers
8x-9
Answer is 8x-9
What are the polar coordinates of the point Q shown below?
Answers
Answer:(−1,−4π/3)
Step-by-step explanation:Note that the point is on the circle whose radius is labeled 1, so r=1 or r=−1. Of the choices available, only an angle of −4π3, drawn from the negative x axis plots at the point Q. So θ=−4π3, and r must be negative, as the angle is measured from the negative x axis. Thus, the polar coordinates are (−1,−4π3).
Solve for x: 3 − (2x − 5) < −4(x + 2)
x < −8
x > −8
x < −3
x > −3
Answers
Answer:
A. x < -8 (first option)
Step-by-step explanation:
\(3 - (2x - 5) < - 4(x + 2)\)
\(3 - 2x + 5 < - 4x - 8\)
\(8 - 2x < - 4x - 8\)
\( - 2x + 4x < - 8 - 8\)
\(2x < - 16\)
\(\boxed{\green{x < - 8}}\)
please solve the question attached
Answers
1. Based on the producer theory, an increase in the demand for labor (L) would be caused by An increase in the productivity of labor, A decrease in the wage rate and A decrease in the rental rate of capital.
2. Missing variables in this simple producer theory would include The technology used to produce output, The preferences of consumers and Quality of labor and capital.
What more should you know about the producer thoery?In the standard producer theory, a producer minimizes costs for a given level of output.
This involves choosing the optimal mix of inputs, such as labor (L) and capital (K), to produce the desired output (y).
The cost function is represented by C = wL + rK, where w is the wage rate (cost of labor) and r is the rental rate (cost of capital).
Find more exercises on producer theory;
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A bag of skittles contains 80 pieces of candy. You ate 16 pieces, what fraction of the
bag do you have left?
Answers
Answer:
4/5
Step-by-step explanation:
80-16=64 (you have 64 candies left)
64/80 (the fraction of the amount of candies you have left)
4/5 (simplify the fraction - divide the top and bottom by 16)