Answer:
commutative property of multiplication
Step-by-step explanation:
Completely simplify the rational expression 6-(x-1)/(x+1)
Answer:
-x + 7 / x + 1
Step-by-step explanation:
6 -(x - 1)/ x + 1
Apply distributive law: -(x - 1) = -x + 1
= 6 - x + 1 / x +1
Group like terms:
= -x + 7/ x + 1
Answer: its 5x+7/x+1
Step-by-step explanation:
Which of the following expressions has a coefficient of 10 and a constant of 5
A) 10x + 5
B) 10 + 5x
C) 10 + 5
D) 10 + 5
-- someone already answered this.
answer:
10x + 5
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-
Find an equation of the line that is parallel to 3x-6y=-1 and passes through (4,-1) write your
answer in the form y = mx + b.
Jason has $8.69 to spend on beans. Write an equation to represent the situation and solve the equation to find the number of cans Jason can
buy.
An equation to represent the situation and solve the equation of the number of cans of beans Jason can buy is x = 8.69/0.61 and x = 14.
What is an equation?An equation is a statement in mathematical terms that show that two or more algebraic expressions are equal or equivalent.
Algebraic expressions are formed with variables, constants, values, and numbers, in addition to mathematical operands without the equal sign (=).
The total budget on beans = $8.69
The unit price for a can of beans = $0.61
Let the number of cans of beans = x
Equation:x = 8.69/0.61
x = 14.2
x = 14
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Question Completion:The price of a can of beans is $0.61
Help please this is due soon
Part 2: Kristen is paid $8.25 per hour. How much would her paycheck be for 39 hours? Show your work
The Kristen's paycheck for 39 hours is $321.75.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Kristen is paid $8.25 per hour.
Paycheck for 39 hours
= 39×8.25
= $321.75
Therefore, the Kristen's paycheck for 39 hours is $321.75.
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cindy throws one red and one blue dice. find the probability that the sum of the two dice is less than 4.
The probability that the sum of the two dice is less than 4 is 3/36, which simplifies to 1/12.
What is dice probability?Dice probability refers to the likelihood of a certain outcome when rolling one or more dice. The probability of rolling a particular number on a fair six-sided die, for example, is 1 in 6 or approximately 16.67%. The probability of rolling any number from 1 to 6 on a single die is always the same since each face has an equal chance of landing face up.
Given by the question.
To finds the probability that the sum of the two dice is less than 4, we need to list all the possible outcomes when Cindy throws one red and one blue dice, and then count the number of outcomes that satisfy the condition.
Possible outcomes when throwing two dice:
Red Blue
1 1
1 2
1 3
1 4
1 5
1 6
2 1
2 2
2 3
2 4
2 5
2 6
3 1
3 2
3 3
3 4
3 5
3 6
4 1
4 2
4 3
4 4
4 5
4 6
5 1
5 2
5 3
5 4
5 5
5 6
6 1
6 2
6 3
6 4
6 5
6 6
There are 36 possible outcomes when throwing two dice.
Outcomes where the sum of the two dice is less than 4:
Red Blue
1 1
1 2
2 1
There are 3 outcomes where the sum of the two dice is less than 4.
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what is the solution to |2x-8|<6 ?
Answer:
1 < x < 7
Step-by-step explanation:
Hello!
There are two cases for this equation:
2x - 8 < 62x - 8 > -6Solve for x in each case.
Solve for x2x - 8 < 6The solution set is 1 < x < 7.
How many milliliters of pure acid must be added to 50 milliliters of a 40% acid solution to obtain a 50% acid solution?
Answer:
2.5 ml
Step-by-step explanation:
10% of the acid would be 2.5 ml so you'd have to add that to add the extra percent
Discover the smallest square number
that can be written using five different
Roman numerals.
Divide this number by 24
Answer:
The smallest square number that can be written using five different Roman numerals is 10,000.
The result of the number divided by 24 is \(416 \dfrac{2}{3}\)
Step-by-step explanation:
The lowest digit which can be written using five different Roman numerals is 10,000.
Therefore, the smallest square number must be greater than or equal to 10,000.
\(\sqrt{10,000} =100\)
Therefore, the smallest square number that can be written using five different Roman numerals is 10,000.
Next, we divide the number by 24.
\(10,000 \div 24 =416 \dfrac{2}{3}\)
The result of the number divided by 24 is \(416 \dfrac{2}{3}\)
A research study investigated differences between male and female students. Based on the study results, we can assume the population mean and standard deviation for the gpa of male students are µ = 3. 5 and σ = 0. 5. Suppose a random sample of 100 male students is selected and the gpa for each student is calculated. What is the probability that the random sample of 100 male students has a mean gpa greater than 3. 42?
The probability that the random sample of 100 male students has a mean gpa greater than 3. 42 is 0.9452.
What is Standard deviation?A statistic known as the standard deviation is used to describe how volatile or dispersed a group of numerical values is. While a big standard deviation denotes that the values are scattered across a wider range, a low standard deviation indicates that the values tend to be close to the set mean.
From the given information, a scores random sample of 100 male students is selected and the GPA for each student is calculated which follows approximately normal with a mean of 3.5 and standard deviation of 0.5. That is,
µ = 3. 5 and σ = 0. 5
and the random sample of 100 male students has a mean GPA 3.42 is considered.
The z-score value is,
Z=( 3.42-3.5)/ (0.5/√100)
Z= -0.08/0.05
Z=-1.6
The value of z-score is obtained by taking the difference of x and µ. Then the resulting value is divided with the standard deviation by sample size.
The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is obtained below:
The required probability is,
P(X>3.42)=P(z>-1.6)
= 1- P(Z≤-1.6)
From the “standard normal table”, the area to the left of Z=-1.6 is 0.0548.
P(X>3.42)= 1- P(Z≤-1.6)
=1-0.0548
=0.9452
The probability that the random sample of 100 male students has a mean GPA greater than 3.42 is 0.9452.
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evaluate the following 10+4(3+2)+5+(12÷6)
Answer:
37
Step-by-step explanation:
50 Points! Multiple choice algebra question. Photo attached. Thank you!
It would take 21 weeks for the population to surpass 16,000.
The insect population P in a certain area fluctuates with the seasons and is estimated by the function P = 15,000 + 2500 sin(πt/52), where t is given in weeks.
For the population to surpass 16,000, we can set up the following equation:
15,000 + 2500 sin(πt/52) = 16,000
Subtracting 15,000 from both sides, we get:
2500 sin(πt/52) = 1000
Dividing both sides by 2500, we get:
sin(πt/52) = 0.4
We know that sin(πt/52) is positive when t is between 0 and 52 and between 104 and 156 since sine is positive in the first and second quadrants. Therefore, we can write:
πt/52 = sin⁻¹(0.4)
Multiplying both sides by 52/π, we get:
t = (52/π) sin⁻¹(0.4)
Using a calculator, we can evaluate sin⁻¹(0.4) to be approximately 0.4115 radians.
t = (52/π) (0.4115)
t = 21.02
Therefore, it would take 21 weeks for the population to surpass 16,000.
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Deymarius drank 2/3 of a quart of water. Wesley drank 1/6 of a quart of water. how many quarts of water did they drink all together?
Answer:
5/6 quarts of water
Step-by-step explanation:
2/3 same as 4/6. 4/6 + 1/6 = 5/6
Solve x^2+8x+22=0 by completing the square.
Answer: x = √-6 - 4
Step-by-step explanation:
x^2+8x+22=0
(x+4)^2 - 16 + 22 = 0
(x+4)^2 + 6 = 0
(x+4)^2 = -6
√(x+4)^2 = √-6
x = √-6 - 4
√6 = 2.449
What is 9.98- 2.53 and 7.68 + 13.07 and 100.03 - 16.28 show your work
Answer:
9.98- 2.53 = 7.45
7.68 + 13.07 = 20.75
100.03 - 16.28 = 83.75
Step-by-step explanation:
9.98
- 2.53
_____
7.45
1 1 - Process of carrying 10's
7.68
+ 13.07
_______
20.75
0000 13 ⇔ What the number becomes after carrying
↑↑↑↑↑
100.03
- 16.28
______
83.75
Happy New Year!
When multiplying or dividing a negitive and postive, your result will be
PLEASE HELP ME ASAP
i’ll give you brainliest if it’s correct please help me :(
TWO PART QUESTION
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= -16(t-1/4)^2+49, where T is the time (in seconds) after he throws the marshmallow. What is the maximum height of the marshmallow?
SECOND PART
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h= -16(t-1/4)^2+49, where T is the time (in seconds) after he throws the marshmallow. How long after Emilio throws the marshmallow does it reach its maximum height?
Answer:
part 1 = 49
part 2 = .25 seconds
Step-by-step explanation:
hope that can help!
A cannonball is fired in the air at an angle of 45°. How far does it travel before it is 600 feet above ground? (Assume the cannonball travels in a straight line. Ignore the force of gravity and wind resistance. Round your answer to the nearest foot.)
Answer:
Step-by-step explanation:
Since the cannonball is fired at an angle of 45°, it will have the same horizontal and vertical velocities.
Let x be the distance it travels before it is 600 feet above ground. At this point, its vertical displacement will be 600 feet, and we can use the formula for vertical displacement:
y = v0*t + (1/2)at^2
Since there is no initial vertical velocity and we are ignoring gravity, a = 0 and the equation simplifies to:
y = 0*t + 0 = 600
Solving for t, we get:
t = sqrt(2y/a) = sqrt(2*600/0) = undefined
This means that the cannonball will never be 600 feet above ground if we ignore gravity. Since this is not realistic, we cannot answer this question without additional information or by assuming that gravity is acting on the cannonball.
round to the nearest tenth. 99.61
Michael studied the feather lengths of some adult fox sparrows.How long is the shortest feather in the data set?
From the data set given, 3/4 is the length of the shortest feather of fox sparrow.
Given,
The image is attached with this.
The length of fox sparrow feathers studied by Michael.
1 sparrow with 3/4 inches of feather4 sparrows with 2 inches of feather7 sparrows with 2 1/4 inches of feather5 sparrows with 2 1/2 inches of feather3 sparrows with 2 3/4 inches of feather.We have to find the shortest feather in the data set.
Here,
3/4 inches is the shortest feather and only 1 sparrow has the shortest feather.
2 3/4 inches is the longest feather and 3 sparrows have the longest feather.
That is,
From the data set given, 3/4 is the length of the shortest feather of fox sparrow.
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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
A quadratic equation is an equation whose leading coefficient is of the second degree. The correct options are A, B, and E.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c. The Roots of the quadratic equation:
\(x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\)
The complete question is:
Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options.
8(x2 + 2x + 1) = –3 + 8
x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot
x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot
8(x2 + 2x + 1) = 3 + 1
8(x2 + 2x) = –3
If we simplify the given options, then the option that is correct is,
A.) 8(x² + 2x + 1) = –3 + 8
8x² + 16x + 3 = 0
B.) 8x² + 16x + 3 = 0
\(x = \dfrac{-16\pm\sqrt{16^2-4(8)(3)}}{2(8)}\\\\x = -1 \pm \dfrac{\sqrt{10}}{4}\\\\x = -1 \pm \sqrt{\dfrac{10}{16}}\\\\x= -1 \pm \sqrt{\dfrac{5}{8}}\)
E.) 8(x² + 2x) = –3
8x² + 16x + 3 = 0
Hence, the correct options are A, B, and E.
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what ratios are equivalent with 7 : 4?
Answer:
14 : 8
Step-by-step explanation:
Hello there! Hope this helps!
14 : 8 21 : 12 28 : 16 35 : 20 42 : 24 49 : 28 56 : 32 63 : 36 70 : 40
77 : 44 84 : 48 91 : 52 98 : 56 105 : 60
112 : 64 119 : 68 126 : 72 133 : 76 140 : 80
147 : 84 154 : 88 161 : 92 168 : 96 175 : 100
182 : 104 189 : 108 196 : 112 203 : 116 210 : 120
217 : 124 224 : 128 231 : 132 238 : 136 245 : 140
252 : 144 259 : 148 266 : 152 273 : 156 280 : 160
287 : 164 294 : 168 301 : 172 308 : 176 315 : 180
322 : 184 329 : 188 336 : 192 343 : 196 350 : 200
357 : 204 364 : 208 371 : 212 378 : 216 385 : 220
392 : 224 399 : 228 406 : 232 413 : 236 420 : 240
427 : 244 434 : 248 441 : 252 448 : 256 455 : 260
462 : 264 469 : 268 476 : 272 483 : 276 490 : 280
497 : 284 504 : 288 511 : 292 518 : 296 525 : 300
532 : 304 539 : 308 546 : 312 553 : 316 560 : 320
567 : 324 574 : 328 581 : 332 588 : 336 595 : 340
602 : 344 609 : 348 616 : 352 623 : 356 630 : 360
637 : 364 644 : 368 651 : 372 658 : 376 665 : 380
672 : 384 679 : 388 686 : 392 693 : 396 700 : 400
Mark collected 110 seashells from the beach. Courtney collected 124 seashells from the beach. How many total seashells did Mark and Courtney collect?
50 points for 3 questions. solve and explain please.
(1) The value of x is determined as 16.8.
(2) The measure of length VX is calculated as 4.1.
(3) The measure of angle UWV is 69.5⁰.
What is the value of the missing lengths of the triangle?
The value of the missing lengths of the triangle is calculated by applying the following formula;
(1) For the two similar triangles, the value of x is calculated as follows;
20 / (28 - x) = 30 / x
20x = 30 (28 - x )
20x = 840 - 30x
20x + 30x = 840
50x = 840
x = 840 / 50
x = 16.8
(2) The measure of length VX is calculated by applying trig ratios.
tan 63 = 8 / VX
VX = 8 / tan 63
VX = 4.1
(3) The measure of angle UWV is calculated as follows;
angle T = 360 - (94 + 127) = 139
angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)
angle UWV = 69.5⁰
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What is 2(5+777x60 ÷6[8-9]
Answer:
-15530
Step-by-step explanation:
plug it in to a calculator
why so random numbers
Answer:
Step-by-step explanation:
2(5+777x60/6x(-1))
2(5-7770)
2x(-7765)
-15530
On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden. The graph models the growth of
each plant since the day they were planted.
12
11
10
9
8
Height 74
of Plant 6-
(cm) 5
4
3
1
1
3
Days After Being Planted
How many days after being planted were the two plants the same height?
OA 2
B. 3
OC. 5
The option A that is 2 days after being planted, the two plants will of the same height( Where the two lines intersect in a graph).
How to know if the lines intersect in the graph of a function?
All the points (and only those points) which lie on the graph of the function satisfy its equation.
Thus, if a point lies on the graph of a function, then it must also satisfy the function.
And after solving both equations if the values of x and y satisfies both equations then they intersect at that values of x and y.
Now,
On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.
The graph models the growth of each plant since the day they were planted.
The intersection of the two lines represents the days after being planted were the two plants the same height.
The answer is that 2 days after being planted, the two plants are the same height.
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The answer is that 2 days after being planted, the two plants are the same height.
How to know if a point lies in the graph of a function?
All the points (and only those points) which lie on the graph of the function satisfy its equation.Thus, if a point lies on the graph of a function, then it must also satisfy the function.On Monday, Eric planted a 3-centimeter-high tomato plant and a 5-centimeter-high tomato plant in his garden.The graph models the growth of each plant since the day they were planted.We need to find How many days after being planted were the two plants the same height.The intersection of the two lines represents the days after being planted were the two plants the same height.The answer is that 2 days after being planted, the two plants are the same height.
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This is very important and I need HELP!
Answer:
A
Step-by-step explanation:
1/144
.......... .......
Answer:
A
Step-by-step explanation:
Question 2: Benjamin rolls an ordinary six-sided dice and flips a coin. List all the possible outcomes.
Answer:
Step-by-step explanation:
Identify the level of measurement of the data, and explain what is wrong with the given calculation. In a set of data, mood levels are represented as 0 for bad, 1 for OK, and 2 for good. The average (mean) of the 637 mood levels is 0.9.
The data are at the______ of measurement.
a. ordinal
b. nominal
c. interval
d. ratio
Answer:
a. ordinal
Step-by-step explanation:
A level of measurement refers to a classification which is used to illustrate the attributes of the values assigned to variables. Basically, there are four (4) levels of measurement for a variable and these are;
1. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.
2. Nominal: is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.
3. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.
4. Ordinal: data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.
Therefore, the data are at the ordinal level of measurement because mood levels were represented as 0 for bad, 1 for OK, and 2 for good.
However, what is wrong with these given calculation; "average (mean) of the 637 mood levels is 0.9." is that the data presented in the question cannot be used to find an average (mean) because the various mood levels were not stated or given, which is a prerequisite for calculating the average (mean) of a population.