Answer:
x-multiple choice
y- short response
23x+10y=86
28x+5y=76 /×(-2)
23x+10y=86
-56x-10y=-152
-33x=-66
x=2
10y=86-46
10y=40
y=4
multiple choice=2 points
short responce =4points
A storage silo for grain can house 18,000 bushels of grain. Answer the following questions using the fact that 1 ton equals to 2000 pounds.
1) Given that one bushel of oats weight 32 pounds, how many tons of oats can be stored in the silo?
2) Given that one bushel of barley weighs 48 pounds, how many tons of barley can be stored in the silo?
3) Given that one bushel of wheat weighs 60 pounds, how many tons of wheat can be stored in the silo?
1. 288 tons of oats can be stored in the silo.
2. 432 tons of barley can be stored in the silo.
3. 540 tons of wheat can be stored in the silo.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A storage silo for grain can house 18,000 bushels of grain.
1. One bushel of oats weighs 32 pounds which is equal to 32/2000 tons.
= 0.016 tons.
Therefore, The number of tons of oats that can be stored is,
= 0.016×18000.
= 288 tons.
2. One bushel of barley weighs 48 pounds or 48/2000 = 0.024 tons.
Therefore, The number of tons of barley that can be stored is,
= 0.024×18000.
= 432 tons.
3. One bushel of wheat weighs 60 pounds or 60/2000 tons = 0.03 tons.
Therefore, The number of tons of wheat that can be stored is,
= 0.03×18000.
= 540 tons.
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marcos is planning to travel from phoenix to flagstaff. let t represent the number of hours since marcos left phoenix and let d represent the number of miles marcos has traveled from phoenix.
In this scenario, Marcos is planning to travel from Phoenix to Flagstaff, and we are using variables to represent different aspects of his journey.
The variable t represents the number of hours since Marcos left Phoenix, which serves as a measure of time elapsed since the start of the journey. It allows us to track the progress of Marcos over time and analyze various time-related aspects such as the duration of the journey or the rate at which he is traveling. On the other hand, the variable d represents the number of miles Marcos has traveled from Phoenix. It serves as a measure of distance covered, indicating how far Marcos has progressed on his route. By monitoring the value of d, we can determine the distance remaining to reach Flagstaff or calculate other distance-related parameters such as average speed or total distance traveled.
By using these variables, we can establish a relationship between time and distance traveled by Marcos. This relationship can be represented by a function or equation that describes Marcos' progress over time, such as a velocity equation or a distance-time equation. These variables and their relationship allow us to analyze and make predictions about Marcos' journey. We can determine when he is expected to reach certain milestones, calculate his average speed or rate of travel, and estimate the time required to complete the journey. Additionally, these variables provide a framework for solving various problems or making decisions related to Marcos' travel, such as optimizing his route or estimating fuel consumption based on distance traveled.
In summary, by using the variables t and d to represent time and distance traveled, respectively, we can effectively describe and analyze Marcos' journey from Phoenix to Flagstaff, enabling us to make informed decisions and predictions about his travel experience.
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Assuming that the equation defines x and y implicitly as differentiable functions x = f(t), y = g(t), find the slope of the curve x = f(t), y = g(t) at the given value of t.
x^3+3t^2=49, 2y^3−2t^2 = 22, t = 4
The slope of the curve at t = 4 is _______ (Type an integer or simplified fraction.)
To find the slope of the curve defined by the implicit equations x^3 + 3t^2 = 49 and 2y^3 − 2t^2 = 22 at the given value of t = 4, we can use implicit differentiation.
We differentiate both equations with respect to t, treating x and y as functions of t.
Differentiating the first equation, we get:
3x^2(dx/dt) + 6t = 0
Differentiating the second equation, we get:
6y^2(dy/dt) - 4t = 0
We are given that t = 4, so we substitute t = 4 into the above equations:
3x^2(dx/dt) + 6(4) = 0
6y^2(dy/dt) - 4(4) = 0
Simplifying, we have:
3x^2(dx/dt) + 24 = 0
6y^2(dy/dt) - 16 = 0
From the first equation, we can solve for dx/dt:
dx/dt = -24/(3x^2)
From the second equation, we can solve for dy/dt:
dy/dt = 16/(6y^2)
Substituting t = 4 into the above equations and solving for dx/dt and dy/dt, we can find the slope of the curve at t = 4.
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What is the equation of this line?
The equation of the line would be y = (-1/4)x.
Option (D) is correct.
What is the slope-intercept form of a line?
The slope-intercept form of a line is a way of representing the equation of a line in the form y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept is the point at which the line crosses the y-axis.
From the graph, we can say that the line is passing through the points (-4, 1) and (4, -1)
So slope = -1/4.
And the y-intercept is 0. as the line is passing through the origin.
So by using a slope-intercept form of a line, we can write
y = mx + c
y = (-1/4)x+0
y = -1/4x
Hence, the equation of the line would be y = (-1/4)x.
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Look at the table and find the probability that a randomly chosen student is a light girl.
Answer:
18/80 = 9/40
Step-by-step explanation:
Lesson 1 Session 1 page 8 answers In iready book Math volume 1
5. Principal = $ 6750, rate = 62/3 % p.a. and time = 3 years.
Answer:
Interest is $4185.00
Please give me brainliest
Step-by-step explanation:
\(i = \frac{p \: r \: t}{100} \\ i = \frac{6750 \times \frac{62}{3} \times 3 }{100} \\ i = \frac{418500}{100} \\ i = 4185\)
Answer:
Step-by-step explanation:
Formula for simple interest =S= (P*R*T)/100
Here P=$6750,R=62/3% T=3Years
Simple interest for given is S= 41.85
HELP
Find the volume of the cylinder.
Either enter an exact answer in terms of t or use 3.14 for T.
8
units 3
Answer:
Volume of the cylinder = 401.92 cubic units
Step-by-step explanation:
Formula to get the volume of a cylinder = \(\pi r^{2}h\)
Radius of the cylinder = 4 units
Height of the cylinder = 8 units
By substituting these values in the formula,
Volume of the cylinder given in the picture = π(4)²(8)
= 3.14(16)(8)
= 401.92 cubic units
Find the surface area and volume of the prism.
Answer:
SA: 456
V: 408
Step-by-step explanation:
To find the volume of this prism, you first need to find the area of the triangular base. The base has dimensions 6 by 8, and since it's a triangle, the area of the base is 6*8/2=24. Multiplying this by the length of the prism, you get a volume of 24*17=408. For the surface area, you need to find and add together the areas of all of the surfaces. We have already determined that the area of the two triangular bases are 24. The rectangle formed by the leg with length 6 has area 6*17=102, the one with length 8 has area 136, and the hypotenuse has area 170. Adding all of this together, you get a surface area of 24+24+102+136+170=456 square centimeters. Hope this helps!
Formula of surface area: T.S.A = ph + 2b
p: represents the perimeter of the base, h
h: the height of the prism and B
B: the area of the base.
6 + 8 + 10 = 24
24 x 17 = 408cm^2
Formula of Volume:
V: of a prism is the area of the base
B: times the height h
h: height
V=Bh
8 x 7 = 56cm^3
What can you say about the triangle in this diagram?
What convinces you that you can make this claim? What assumptions, if any, are you making about the other figures in the diagram
Answer:
it is an equilateral triangle
Step-by-step explanation:
it has equal sizes
Find the measure of the exterior <1 A 130 B 22 C 78 D 102
Answer:
C
Step-by-step explanation:
Answer:
here
Step-by-step explanation:
B. 39, 45. C. 162, 972. D. 33, 39. 2. Based on the pattern, what are the next two ... If two angles are complementary, then the sum of their measures is 90°. ... D. alternate exterior angles. 56. 7. 8. 11. Find m2. The diagram is not to scale. 180 ... perpendicular to one of two parallel lines, then it is also perpendicular to the other.
Find −1/4(−8.6) . Write your answer as a decimal to the nearest hundredth.
Answer:
2.15
Step-by-step explanation:
I will assume that "−1/4(−8.6)" is telling us to multiply (-8.6) times -(1/4):
(-1/4)*(-8.6)
= (8.6/4)
= 2.15
A child learning to ave money inveted a capital of $ 250 at a nominal rate of 0. 0825 (per annum) with imple interet. If he earned $ 11. 98 at the maturity date, how many day wa the term of the depoit?
The term of the deposit that the child did was 7 months
What is simple interest?It is the operation in which we calculate the profit produced by a capital loaned at a given percentage.
The formula for simple interest and procedure we will use to solve this exercise is:
T = (100 * S.I) / (P * R)
Where:
P = principalR = rate of interest in % per annumT = timeInformation about the problem:
P = $250R = 0. 0825S.I. = $11.98T = ?Applying the simple interest formula and isolating the time we get:
T = (100 * S.I) / (P * R)
T = (100 * 11.98) / (250* 8.25)
T = 1198/ 2062.5
T = 0.58 years
Converting the years to month we have:
0.58 years * 12 months/ 1 year = 7 months
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Correctly written question:
A child learning to have money invested a capital of $ 250 at a nominal rate of 0. 0825 (per annum) with simple interest. If he earned $ 11. 98 at the maturity date, how many day was the term of the deposit?
Bus Stop #2: initial value: 9 miles rate of change: 0.5 miles each minute Friend’s House: A 2-column table with 3 rows. Column 1 is labeled Time (minutes) with entries 3, 6, 9. Column 2 is labeled Distance (miles) with entries 4, 6, 8. Seth can also get dropped off at Bus Stop #2, which is closer to his school. Which will get him to school faster? (School is 17 miles away.)
Answer:
bust stop #2 6.5 minutes
Step-by-step explanation:
Answer:
bust stop #2 6.5 minutes
Step-by-step explanation:
Suppose that a, b, c, d are positive real numbers such that a/b < c/d . What can you say about the fraction (a+c)/(b+d) ? Is it always, sometimes, or never between the fractions a/b and c/d ? Provide evidence of your claim. (If always or never, give an algebraic proof, otherwise, give two quadruples values of a, b, c, d in which one quadruple has (a+c)/(b+d) between a/b and c/d and the other does not.)
Answer: (a−c)(b−c)>0
Step-by-step explanation:
ab>1 and ac<01. a>0 if c<0 and also b>02. a<0 if c>0 and also b<0
how i did it:
At the vert first, write the inequality as an equation.
Solve the provided equation for one or more values.
Now, display all the values obtained in the number line.
Use open circles to show the excluded values on the number line.
Find the interim.
At the moment, take any random value from the interval and substitute it in the inequality equation to check whether the values reassure the inequality equation.
Intervals that reassure the inequality equation are the solutions of the given inequality equation.
PLEASE HELP WHOEVER HELPS WILL GET A COOKIE
A: The plane is going 525 miles per hour.
B: In 13 hours the plane will travel 6,825 miles.
Answer:
(a) \(\sf 450 \ miles \ per \ hour\)
(b) 675 miles in \(\sf 1\frac{1}{2} \ hours\)
explanation:
(a)
given time: \(\sf 4\frac{2}{3}\)distance: 2,100unit rate:
\(\sf \dfrac{total \ distance}{total \ time}\)
\(\sf \dfrac{2100}{\sf 4\frac{2}{3}}\)
\(\sf \dfrac{2100}{\sf \dfrac{14}{3}}\)
\(\sf 450 \ miles \ per \ hour\)
(b)
distance: speed * time
distance: \(\sf 450 \\\) * \(\sf 1\frac{1}{2}\)
distance: 675 miles
find two solutions of each equation. give your answers in radians (0 ≤ theta ≤ 2????). do not use a calculator. (enter your answers as comma-separated lists.)
The two solutions of the equation sin(theta) = 0.5 within the range of 0 to 2pi radians are approximately 0.524 radians and 6.166 radians.
To find two solutions of an equation, we need to solve the equation for the given range of theta. Since the question specifies that theta should be in radians and between 0 and 2pi, we will find two solutions within this range.
Let's consider an example equation to demonstrate the steps. Suppose we have the equation:
sin(theta) = 0.5
1: Identify the equation and the trigonometric function involved. In this case, the equation is sin(theta) = 0.5, and the trigonometric function is sine.
2: Solve for theta algebraically. To solve the equation, we need to find the values of theta that make the equation true. In this example, we can use the inverse sine function (also known as arcsin) to solve for theta. Applying the inverse sine function to both sides of the equation, we get:
theta = arcsin(0.5)
3: Calculate the value of theta using the inverse sine function. The inverse sine function gives us the angle whose sine is equal to 0.5. In this example, the inverse sine of 0.5 is approximately 0.524 radians (or 30 degrees).
4: Find a second solution within the given range. To find a second solution, we can add the period of the sine function to the first solution. The period of the sine function is 2pi radians. Adding 2pi to the first solution, we get:
theta = 0.524 + 2pi
Simplifying, we find that the second solution is approximately 6.166 radians (or 354 degrees).
Therefore, the two solutions of the equation sin(theta) = 0.5, within the range of 0 to 2pi radians, are approximately 0.524 radians (or 30 degrees) and 6.166 radians (or 354 degrees).
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set up the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.y=x2/3+3,y=3,x=6
About the line y=16.
\(\pi \int\limits^6_0 {\frac{26}{3} } \, x^{2} -\frac{1}{9} x^{4} dx\) is the integral that uses the method of disks/washers to find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified lines.
A method for determining the volume of a solid of revolution of a solid-state material while integrating along an axis "parallel" to the axis of revolution is known as disc integration, also known as the disc method in integral calculus.
This technique stacks an endless number of discs with varied radii and minuscule thickness to produce the final three-dimensional form. To create hollow solids of revolutions, the same ideas may also be applied when using rings in place of discs (this is known as the "washer technique").
As opposed to this, shell integration integrates along an axis that is parallel to the axis of revolution. The solution can be seen in the attached images below.
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Barry bought 18.50 meters of light rope at $0.48 per meter and three meters of heavy rope at $1.06 per meter. How much change did he get back from three $5 bills?
Barry got back $2.94 in change from three $5 bills for rate per meter.
Let's calculate the total cost of the light rope and heavy rope and then find out how much change Barry got back from three $5 bills.
Step 1: Calculate the total cost of the light rope.
Total cost = (Length of light rope) x (Price per meter)
Total cost = 18.50 meters x $0.48 per meter = $8.88
Step 2: Calculate the total cost of the heavy rope.
Total cost = (Length of heavy rope) x (Price per meter)
Total cost = 3 meters x $1.06 per meter = $3.18
Step 3: Calculate the combined cost of both ropes.
Combined cost = (Total cost of light rope) + (Total cost of heavy rope)
Combined cost = $8.88 + $3.18 = $12.06
Step 4: Calculate the amount Barry paid using three $5 bills.
Total amount paid = 3 x $5 = $15
Step 5: Calculate the change Barry got back.
Change = (Total amount paid) - (Combined cost)
Change = $15 - $12.06 = $2.94
Barry got back $2.94 in change from three $5 bills.
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What is accounting? What is the role of accounting in values?
Answer:
Found this on google, "Accounting creates values by maintaining transparency of accounts. Since man lives in the society, he has got a social life. For leading a social life he has to perform financial and material transactions daily. For carrying out these transactions successfully the existence of a sound environment is necessary."
Answer: Accounting is the process of recording financial transactions pertaining to a business.
Step-by-step explanation: The purpose of accounting is to accumulate and report on financial information about the performance, financial position, and cash flows of a business. This information is then used to reach decisions about how to manage the business, or invest in it, or lend money to it.
What is the first step in determining if 6 is a solution to 3x=18? O Substitute 6 for x in the equation. O Rewrite 3x3 O Multiply 3 and 18. O Divide 6 by 3
how to do this question plz answer me step by step plzz
Answer:
No
Step-by-step explanation:
Diameter= 180cm
Circumference of each table
= πD
= 180π cm
Each table can fit
= 180π ÷70
= 8 guests (nearest whole number)
Since there are 18 tables, total number of guests
= 8(18)
= 144 guests
Since there are only enough tables to sit 144 guests, there are not enough tables to fit 145 guests.
Note that we cannot take the sum of the circumference for 18 tables than divide by 70 to see how many guests can fit because a guest can only be sitted on one table.
If that was done,
Total circumference
= 180π(18)
= 10179 cm (5 s.f.)
Total number of people
= 10179 ÷70
= 145 people (3 s.f.)
This is incorrect.
PLS HELP THIS IS DUE TODAY
Factor 48x−12y . Explain how you found your answer.
Utilizing factorization, the factors of 48x-12y are 2, 2, 3, and 4x-y.
What is factor?Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics. For instance, factorizing the number 15 is 3 5. A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product since the product is divisible by them. Factors can be found using either division or multiplication.
Here,
Factor of 48x-12y,
=12(4x-y)
=2*2*3*(4x-y)
The factors of 48x-12y is 2, 2, 3 and 4x-y using factorization.
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It is not -0.7w+11
Plsssssssss anyone will pick brainliest
Answer:
2.3w - 7 + 8.1 - 3w = -3w + 2.3w + 8.1 - 7
= -0.7w + 1.1
This is the result of performing the operations in the given order: subtracting 7 from 8.1, subtracting 3w from 2.3w, and adding the results. The expression simplifies to -0.7w + 1.1
Step-by-step explanation:
Answer:
5.3w + 1.1
Step-by-step explanation:
Combine like terms
2.3w - (- 3w) = 5.3w
- 7 + 8.1 = 1.1
Answer
5.3w + 1.1
the question is in the attached file
Answer:
C
Step-by-step explanation:
using
x × y = \(\sqrt{x^2+y^2}\) , then
2 × 4\(\sqrt{2}\)
= \(\sqrt{2^2+(4\sqrt{2})^2 }\)
= \(\sqrt{4+32}\)
= \(\sqrt{36}\)
= 6
\(\textsf {Applying this formula :}\)
\(\mathsf {(x) \times (y) =\sqrt{x^{2} + y^{2}}}\)
\(\textsf {Now take :}\)
\(\mathsf {x = 2}\\\mathsf {y = 4\sqrt{2}}\)
\(\mathsf {Solving :}\)
\(\implies \mathsf {\sqrt{(2)^{2} + (4\sqrt{2})^{2}}}\)
\(\implies \mathsf {\sqrt{4 + 32}}\)
\(\implies \mathsf {6}\)
Which table shows y as a function of x ?
Answer: H
Step-by-step explanation:
Becuase it is the only one were x doesnt have the same number twice
In the table H, for every value of y there is a unique value of x, therefore option H is correct.
Step-by-step explanation:
In this question we have to go through the option and find the the correct answer.
In the table F, for two or more values of y the value of x remains unchange , therefore thios option is incorrect.
In the table G, for the y values -1 and 5 the value of x is -1 (unchanged) , therefore this option is also incorrect.
In the table H, for every value of y there is a unique value of x, therefore option H is correct.
In the table J, for the y values 0 and 6 the value of x is 0 (unchanged) , therefore this option is also incorrect.
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Hey there could anyone please solve these 3 math questions, I don't quite understand them please and thank you.
Question 1. (Use a proportion to solve each problem.)
The scale on a map is 1 inch = 15 miles. A line on the map is 2 inches. How many miles does the line represent?
Question 2. (Solve each problem. Use a proportion.)
If 18 trees are needed to cover 3 acres, how many trees are needed to cover 60 acres?
Question 3. (Find the price or the number of items.)
If 3 bars of soap cost $2, how much will 12 bars of soap cost?
Please answer these as soon as possible. I need to hand them in tomorrow thx!
Answer: Question 1 is 30 miles, Question2 is 360 acres, and Question 3 should be $8.
Step-by-step explanation:
One of the main criticisms of differential opportunity theory is that
a. it is class-oriented
b. it only identifies three types of gangs
c. it overlooks the fact that most delinquents become law-abiding adults
d. it ignores differential parental aspirations
The main criticism of differential opportunity theory is that it overlooks the fact that most delinquents become law-abiding adults (option c).
Differential opportunity theory, developed by Richard Cloward and Lloyd Ohlin, focuses on how individuals in disadvantaged communities may turn to criminal activities as a result of limited legitimate opportunities for success.
However, critics argue that the theory fails to account for the fact that many individuals who engage in delinquency during their youth go on to become law-abiding adults.
This criticism highlights the idea that delinquent behavior is not necessarily a lifelong pattern and that individuals can change their behavior and adopt prosocial lifestyles as they mature.
While differential opportunity theory provides insights into the relationship between limited opportunities and delinquency, it does not fully address the complexities of individual development and the potential for desistance from criminal behavior.
Critics suggest that factors such as personal growth, social support, rehabilitation programs, and the influence of life events play a significant role in individuals transitioning from delinquency to law-abiding adulthood.
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Kylie and Reuben are on the same mountain side with a uniform slope connecting the two of them. Find the point that is exactly halfway in-between Kyle and Reuben along the slope of the mountain.
The circle below is centered at the point (-3,4) and had a radius of 3. What is it equation? ( top answers gets )
Answer:
( x+3) ^2 + ( y-4) ^2 = 9
Step-by-step explanation:
The equation of a circle can be written as
( x-h) ^2 + ( y-k) ^2 = r^2
Where ( h,k) is the center and r is the radius
( x--3) ^2 + ( y-4) ^2 = 3^2
( x+3) ^2 + ( y-4) ^2 = 9