What is the value of the rational expression when x=-2? -7 -9 9 7

Answer:

SUE: (18-x)-5

TONY: (18+x) / [tex]\frac{1}{2}[/tex]

Sue has 18 sweets

Tony also has 18 sweets

Sue gives x sweets to Tony

Sue then eats 5 of her sweets

Tony then eats half of his sweets

(18-x)-5=(18+x)/ 1/2

x= -7.6

Answer:

The answer is B.

Step-by-step explanation:

Answer:

660

Step-by-step explanation:

66x100=6600

Divide 6600 by 10

=660

Answer:

last option

Step-by-step explanation:

at least two respective angle have same measure

Answer:

It is the last one

Step-by-step explanation:

edg 2021

Answer:

52

Step-by-step explanation:

52

Solution:

Given that, A rectangle has:

[tex]height = 5y^3 \\\\width = 3y^3 - 8y^2 + 2y[/tex]

Express the area of the entire rectangle

[tex]\text{Area of rectangle } = 5y^3 \times (3y^3 - 8y^2 + 2y)[/tex]

[tex]Area = 5y^3\times \:3y^3+5y^3\left(-8y^2\right)+5y^3\times \:2y\\\\Area = 15y^6 -40y^5 + 10y^4 \\\\[/tex]

Standard form means that the terms are ordered from greatest exponent to lowest exponent

Thus area of entire rectangle in standard form is: [tex]15y^6 -40y^5 + 10y^4[/tex]

Answer:

los dos son lo mismo solo que se multiplican por dos espero me entiendas

Step-by-step explanation:

Answer: They equal the same thing

Step-by-step explanation: Notice that the fractions that we're comparing in this problem have different denominators. When fractions have different denominators they're called unlike fractions.

To compare unlike fractions, we must first get a common denominator.

The common denominator of 8 and 16 will be the least common multiple of 8 and 16 or 16. To get a 16 in the denominator of 2/8, we multiply the numerator and the denominator by 2 which gives us 4/16.

Now notice that 4/16 is equal to 4/16 since we changed 2/8.

Since 4/8 equals 4/8, these fractions are the same

Answer:

[tex]90^o[/tex]

Step-by-step explanation:

Step 1:  Multiply

[tex]0.25 * 360^o[/tex]

[tex]90^o[/tex]

Answer:  [tex]90^o[/tex]

Instead of multiplying by 1.4, Sue should have multiplied by 1.04. Bill can decrease 160 by 6% by multiplying 160 by 0.94

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

So, firstly, Sue wanted to increase 160 by 4%

Increased value = 160 + 4% of 160

Now, 4% of 160 is calculated as:

[tex]\dfrac{160}{100} \times 4 = 160 \times 0.04[/tex]

Thus, we get:

[tex]\text{Increased value} = 160 + 160 \times 0.04 = 160(1 + 0.04) = 160 \times 1.04[/tex]

Thus, instead of multiplying by 1.4, Sue should have multiplied by 1.04

Now, Bill wants to decrease 160 by 6%

Decreased value = 160 - 6% of 160

Now, 6% of 160 is calculated as:

[tex]\dfrac{160}{100} \times 6 = 160 \times 0.06[/tex]

Thus, we get:

[tex]\text{Decreased value} = 160 - 160 \times 0.06 = 160(1 - 0.06) = 160 \times 0.94[/tex]

Thus, Bill can decrease 160 by 6% by multiplying 160 by 0.94

Thus, instead of multiplying by 1.4, Sue should have multiplied by 1.04. Bill can decrease 160 by 6% by multiplying 160 by 0.94

Learn more about percent here:

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The correct multiplier Sue should have used is 1.04 to increase 160 by 4%. To decrease 160 by 6%, Bill should use the multiplier 0.94.

a)She incorrectly multiplied 160 by 1.4. The correct multiplier should be 1.04.

To increase a number by a percentage, you first find the decimal equivalent of the percentage.
For 4%, it is 0.04.

Add this decimal to 1.
(1 + 0.04 = 1.04).

Now, multiply the original number (160) by 1.04.

Therefore, 160 x 1.04

= 166.4.

b) Bill wants to decrease 160 by 6%. To find the correct multiplier,

First, find the decimal equivalent of 6%, which is 0.06.

To decrease a number by this percentage, subtract the decimal from 1.

(1 - 0.06 = 0.94).

Now, multiply the original number (160) by 0.94.

Therefore, 160 x 0.94

= 150.4.

Answer: 264

Step-by-step explanation:

Alright!

To start this problem, we need to come up with equations that represent both of the Hosts' services

Key equation:

y = mx + b

x = the # of hours

Host A:

An initial $45 means this will be our constant

$16.25 per hour means it needs the variable x

Host A equation: y = 16.25x + 45

Host B:

An initial $51 means this will be our constant

$13.50 per hourmeans it needs the varible x

Host B equation : y = 13.50x + 51

To find the approximate number of hours (x) when both hosts charge the same amout, we must set their equations equal to each other.

16.25x + 45 = 13.50x + 51

Now, Solve!

16.25x = 13.50x + 51 - 45

16.25x = 13.50x + 6

16.25x - 13.50x = 6

2..75x = 6

now divide to find x!

x = 6 ÷ 2.75

x = 2.18

but we must round to the nearest tenth, so your final answer is

x = 2.2 hours!

Hope I helped! Comment if you have any questions about my solution :)

Answer: (0, 75)

Step-by-step explanation: This equation is written in slope-intercept form which is more commonly known as y = mx + b form where the multiplier or the coefficient of the x term represents the slope of the line and the b or the constant term represents the y-intercept of the line.

In this equation, we can see that the y-intercept is 75 but it's important to understand that the y-intercept is a coordinate point so I like to always write it as a coordinate point where the x value is going to be 0 and your b value is going to be your value on the y-axis. So we can write this as (0, 75).

Answer:

-2d^3 +3d^2 +3

Step-by-step explanation:

The biggest number you can take out of each term would be 11, so you divide each term individually by 11.

-22/11= -2

33/11=3

33/11=3

Then you keep the variables the same because you don't have a d in every term, therefore you cannot remove a d.

Answer:

4R+2S=24

Step-by-step explanation:

Let the raspberry be represented as R

Let the strawberry be represented as S

Since a carton of raspberry is$4=4R

Since a carton of strawberry is $2=2S

And the sum of the two is 24

4R+2S=24

Since a specific value is not given

So the final answer is

4R+2S=24

Answer:

In which step did Sierra make a mistake? Step 2.

What should she have done instead? add the x and the 5x

Step-by-step explanation:

she had the expression:

[tex]x + 8 + 5(x - 4)[/tex]

and then she multiplied the 5 by the parentheses (step 1):

[tex]x + 8 + 5x - 20[/tex]

no mistakes so far

then she has: [tex]5x + 8 - 20[/tex]  (step 2) Here is the mistake, she forgot about the 'x' that she has at the beginning of the expression.

What you should have done is add the x and the 5x, so she must a 6x in the following step (correcting the mistake):

[tex]6x+8-20[/tex]

which gives us:

[tex]6x-12[/tex]

Answer:

V≈339.29cm³

Step-by-step explanation:

Answer:

The volume of the cylinder is approximately [tex]\( 339.292 \)[/tex] cubic centimeters.

Explanation:

To find the volume [tex]\(V\)[/tex] of a cylinder, you can use the formula:

[tex]\[ V = \pi r^2 h \][/tex]

Where:

- [tex]\( \pi \)[/tex] (pi) is a mathematical constant approximately equal to 3.14159

- [tex]\( r \)[/tex] is the radius of the base of the cylinder

- [tex]\( h \)[/tex] is the height of the cylinder

Given that the diameter of the base is 6 cm, the radius [tex](\( r \))[/tex] is half of that, so [tex]\( r = \frac{6}{2} = 3 \)[/tex]  cm.

The height [tex](\( h \))[/tex] of the cylinder is given as 12 cm.

Now, plug the values into the formula:

[tex]\[ V = \pi (3)^2 \times 12 \][/tex]

[tex]\[ V = 9\pi \times 12 \][/tex]

[tex]\[ V = 108\pi \][/tex]

Now, if you need a numerical approximation, you can multiply 108 by the value of [tex]\( \pi \)[/tex]:

[tex]\[ V \approx 108 \times 3.14159 \][/tex]

[tex]\[ V \approx 339.292 \][/tex]

Answer:

66 cm

Step-by-step explanation:

Diameter (d) = 21 cm

[tex]C = \pi \: d = \frac{22}{7} \times 21 = 22 \times 3 = 66 \: cm[/tex]

Answer:

66 cm

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

its not A for sure B and D dont make sense

Answer:

C

Step-by-step explanation:

Answer:

Neither, they both carry the same amount.

Step-by-step explanation:

We can solve this from just comparing the volumes of both boxes.

20 x 18 x 9 = 3240

18 x 18 x 10 = 3240

Both have the same volume, so they could carry the same amount.

Hope this helped! :)

Slope intercept form: y = mx + b

We know the slope, so we need to use the given point in the generic slope intercept form and solve for b.

y = -3x + b

-2 = -3(5) + b

-2 = -15 + b

b = 13

y = -3x + 13

Hope this helps!! :)

Answer:

False

Step-by-step explanation:

If you divide both sides of the equation by (x+3), you get (x-3)=(x-8)

That makes 3 = 8.

The only way this is possible is if x = -3

Answer:

False

See picture for steps

Answer:

4 pints

Step-by-step explanation:

All we need to do is convert the amount of each fruit from quarts to pints and then add them up.

For Cherries:

She measured [tex]1\frac{2}{3}[/tex] quarts.

1 quart = 2 pints

=> [tex]1\frac{2}{3}[/tex] quarts = [tex]1 \frac{2}{3} * 2 = \frac{5}{3} * 2 = \frac{10}{3}[/tex] pints

For Peaches:

She measured [tex]\frac{1}{3}[/tex] quarts.

=> [tex]\frac{1}{3}[/tex] quarts = [tex]\frac{1}{3} * 2 = \frac{2}{3}[/tex] pints

Hence, the amount of fruits she measures altogether, in pints, is:

[tex]\frac{10}{3} + \frac{2}{3} = \frac{12}{3} = 4[/tex]

She measured 4 pints of fruit altogether.

Answer:

Step-by-step explanation:

For example;

Your triangles' angles are: 56, 77, and 47.

56 + 77 + 47 = 180

*You did not give me any values to solve for, but just since you didn't- I'v provided an example to assist you in doing it yourself.  If you want me to solve your full equation please add the angles or 3 dimensions of the triangle.

Answer:

a

Step-by-step explanation:

Answer:

∠A is supplementary to the exterior angle and ∠B measures 70°

Step-by-step explanation:I just answered this question and got it right.

The answer is A and D.

- got it right on edge

- have a good day :)

Answer:

Option B is correct

It must be a positive number since it represents a number of hours.

Step-by-step explanation:

As per the statement:

Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.

__________________________________________________________

Given the equation as:

Using distributive property,

Combine like terms;

Subtract 40 from both sides we have;

Divide both sides by -8 we have;

h = 14 hours

__________________________________________________________

Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.

The statement true about Pieter's solution is that b. It must be a positive number since it represents a number of hours.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given is an equation,

7h – 5(3h – 8) = –72

where h is the number of hours taken to dig a well to a level of 72 feet below sea level.

The solution of the given equation will give the value f h, which is the number of hours taken to dig the well to a depth of 72 feet.

We know that, time can never be a negative number. So the value of h must be positive.

So the correct option is It must be a positive number since it represents a number of hours.

Solution is,

7h – 5(3h – 8) = –72

7h - 15h + 40 = -72

-8h = -112

h = 14 hours

Hence the correct option is b.

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Answer:

StepThe answer is 36 14/125 feet

-by-step explanation:

Final answer:

The total vertical distance the ball has traveled when it hits the surface for the fifth time is 38 feet.

Explanation:

To find the total vertical distance the ball has traveled when it hits the surface for the fifth time, we need to analyze the sequence of bounces. Each bounce is 3/5 as high as the preceding one, meaning the height decreases by a factor of 3/5 each time.

If the starting height is 10 feet, the first bounce will reach a height of 10 * (3/5) = 6 feet. The second bounce will reach a height of 6 * (3/5) = 3.6 feet, and so on.

To find the total distance, we need to sum up the heights of all the bounces. This can be calculated using the formula for the sum of a geometric series:

Sum = a * (1 - r^n) / (1 - r), where a is the initial term, r is the common ratio, and n is the number of terms.

In this case, a = 10, r = 3/5, and n = 5. Plugging in the values into the formula, we get:

Sum = 10 * (1 - (3/5)^5) / (1 - 3/5) = 10 * (1 - 243/625) / (2/5) = 10 * (382/625) / (2/5) = 10 * (382/625) * (5/2) = 191 * 5 / 25 = 38 feet.

Answer:8

Step-by-step explanation:

Sandra wants to give a party for 60 people. Given that her punch recipe, which yields 2 gallons, serves 15 people, she can use a proportional relationship to determine she will need 8 gallons of punch.

This question can be solved by setting up a proportional relationship. In the given case, we know that the punch recipe produces 2 gallons of punch and serves 15 people. Hence, the ratio is 2 gallons per 15 people or 2/15.

Now, let's use this ratio to calculate how many gallons of punch she will need for 60 people. Form a proportion as follows:

2/15 = x/60

Where 'x' represents the number of gallons needed for 60 people. To find 'x', cross-multiply:

2 * 60 = 15 * x

120 = 15x

Then, divide both sides by 15 to solve for 'x':

x = 120/15

So, 'x' equals 8. That means Sandra needs to make 8 gallons of punch for her party.

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Answer:

is 5

Step-by-step explanation:

bc you know you know

so the answer is 14/15.

Hope this will help u...

Answer:

The original price was $30

Step-by-step explanation:

Answer:

According to my calculations, the original price was $30.