Expand 2x(5x-2)

Help please ?

Answers

Answer 1

Answer: 10x^2 - 4x

Step-by-step explanation:

To expand, you are not simplifying, so multiplying out is the answer here. To do this, use the distributive property. The distributive property in this case means that if you are multiplying one number by a whole expression inside parenthesis, multiply the one number by each term in the expression:

2x(5x - 2)

= 2x(5x) + 2x(-2)

= 10x^2 - 4x

Answer 2

The product of the expression is equivalent to -

10x² - 4x.

What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the expression as follows -

2x(5x - 2)

The given expression is -

2x(5x - 2)

10x² - 4x

Therefore, the product of the expression is equivalent to -

10x² - 4x.

To solve more questions on expression evaluation, visit the link below -

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Related Questions

What is the measure of the third angle in the similar triangles below?

25
65
85
115

Answers

Answer:

65

Step-by-step explanation:

We know that,

The Sum of all angles of the triangle is 180°.

As given in the question,

Triangle PQR is similar to Triangle WXY

Therefore ,

Let the third angle be 'x'.

35° + 80° + x = 180°

115 + x = 180°

x = 180° - 115°

x = 65°.

Hence, 65° is the appropriate answer to the question.

I hope my answer helped!!

Which expression is equal to -3b(6b^-8)

Answers

Answer:a^2/b

Step-by-step explanation:

(a^6b^−3)1^/3

a^6 ^ 1/3  b ^ -3 ^ 1/3

using the power of power rule we can multiply the exponents

a ^ (6*1/3) b ^ (-3* 1/3)

a^ 2 b ^ -1

the negative exponent flips it from the numerator to the denominator

a^2* 1/ b^1

a^2/b

Answer:

A. -18b^-4

second answer is B. -18/b^-4

Step-by-step explanation:

-12.48 -(-2.99)-5.62

Answers

Answer:

[tex]-15.11[/tex]

Step-by-step explanation:

[tex]-12.48-(-2.99)-5.62=\\-12.48+2.99-5.62=\\-9.49-5.62=\\-15.11[/tex]

Answer:

-15.11

Step-by-step explanation:

-12.48+2.99-5.62=

-9.49 - 5.62= - (9.49+5.62)=-15.11

A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road

Answers

Complete question:

A police car is located 50 feet to the side of a straight road. A red car is driving along the road in the direction of the police car and is 130 feet up the road from the location of the police car. The police radar reads that the distance between the police car and the red car is decreasing at a rate of 75 feet per second. How fast is the red car actually traveling along the road.

Answer:

The red car is traveling along the road at 80.356 ft/s

Step-by-step explanation:

Given

Police car is 50 feet side off the road

Red car is 130 feet up the road

Distance between them is decreasing at the rate of 75 feet per sec

Let x be how far the police is off the road.

Let y be how far the red car is up the road.  

Let h be the distance between the police and the red car.

This forms a right triangle so we can use the Pythagorean theorem, to solve for h

h² = x² + y²

h² = 50² + 130²

h² = 19400

h = √19400

h = 139.284 ft

Again;

Let dx/dt be how fast the police is traveling toward the road.

Let dy/dt  be how fast the red car is traveling along the road.

Let dh/dt be how fast the distance between the police and the car is decreasing.

Recall that, h² = x² + y² (now differentiate with respect to time, t)

2h(dh/dt) = 2x(dx/dt) + 2y(dy/dt)

divide through by 2

h(dh/dt) = x(dx/dt) + y(dy/dt)

since the police car is not, dx/dt = 0

and dy/dt is the how fast is the red car actually traveling along the road

139.284(75) = 50(0) + 130(dy/dt)

10446.3 = 0 + 130(dy/dt)

dy/dt = 10446.3 / 130

dy/dt = 80.356 ft/s

Therefore, the red car is traveling along the road at 80.356 ft/s

What is the answer?

Answers

Answer:

C. 2.75P

Step-by-step explanation:

The original value was P.

It increased by 275%. That means it increased by 275% of P.

275% of P = 2.75P

The increase in value is 2.75P.

Now we add the increase to the original value of P to find today's value.

2.75P + P = 3.75P

Answer: C. 2.75P

Dialiting a triangle changes the angles and side length of the triangle true or false

Answers

Answer:

  False

Step-by-step explanation:

Dilation changes the side lengths, but not the angles. The given statement is FALSE.

Zachary used the calculations shown to find how much he would spend on 16 ounces of pistachios. 6 ounces of pistachios cost $7.50 StartFraction 7 dollars and 50 cents Over 6 ounces EndFraction = StartFraction dollar-sign question mark Over 1-ounce EndFraction Unit price = $0.80 per ounce What was his first error?
A. The price per ounce should have been $45.00 per ounce.
B. The price per ounce should have been $1.25 per ounce.
C. The final cost should have been $20.00.
D. The final cost should have been $16.80.

Answers

Answer:

The price per ounce should have been 1.25 per ounce

Step-by-step explanation:

The price per ounce should have been 1.25 per ounce

-google

(found it online)

XD - don't delete/report!

Brainleist!

Answer:

1.25

Step-by-step explanation:

Preciso de ajudaa! Resolução também! - Considere as funções f e g tais que f(x)= x³+1 e g(x)= x-2 Determine: a)(fog)(0) b)(gof)(0) c)(fof)(1) d)(gog)(1)

Answers

Answer:

(fog)(x) means that we have the function f(x) evaluated in the function g(x), or f(g(x)).

So, if f(x) = x^3 + 1 and g(x) = x - 2.

we have:

a) (fog)(0) = f(g(0)) = (0 - 2)^3 + 1 = -8 + 1 = -7

b) (gof)(0) = g(f(0)) = (0^3 + 1) - 2 = -1

c)  (fof)(1) = f(f(1)) = (1^3 + 1)^3 + 1 = 2^3 + 1 = 8 + 1 = 9

d) (gog)(1) = g(g(1)) = (1 - 2) - 2 = -1 -2 = -3

In the diagram below, $RT:TS = 1:2$ and $SR = PQ = 20$. Find $UV$.

Answers

It's pretty easy not college levlel just some simple high school geomerty.

Answer: 12

Step-by-step explanation: Because $\overline{PQ}$, $\overline{UV}$, and $\overline{SR}$ are all perpendicular to $\overline{QR}$, we have $\overline{PQ} \parallel \overline{UV} \parallel \overline{SR}$. Therefore, we have $\angle UPQ = \angle UTS$ and $\angle UQP = \angle UST$, which means that $\triangle UPQ \sim \triangle UTS$. So, we have $UQ/US = PQ/ST$.

Because $ST/SR = 2/3$ and $PQ = SR$, we have

\[\frac{UQ}{US} = \frac{PQ}{ST} = \frac{SR}{ST} = \frac{3}{2}.\]Since $UQ/US = 3/2$, we have $UQ/QS = 3/5$.

We have $\triangle UQV \sim \triangle SQR$ by AA Similarity, so $UV/SR = UQ/QS = 3/5$. Therefore, we have $UV = (3/5)SR = \boxed{12}$.

What is the probability that 4 randomly selected people all have different birthdays? Ignore leap years, and round your final answer to four decimal places.



0.9729



0.9918



0.9891



0.9836

Answers

Answer:

(D)0.9836

Step-by-step explanation:

There are 365 days in a year.

Since each person has a different birthday:

We can choose a birthday for the first person 365 out of 365 days.We can choose a birthday for the second person 364 out of 365 days.We can choose a birthday for the third person 363 out of 365 days.We can choose a birthday for the fourth person 362 out of 365 days.

Therefore,

P(4 randomly selected people all have different birthdays)

[tex]=\dfrac{365}{365} \times \dfrac{364}{365} \times \dfrac{363}{365} \times \dfrac{362}{365}\\\\=0.9836[/tex]

A sequence is defined recursively using the formula . If the first term of the sequence is 120, what is f(5)? −15 −7.5 7.5 15

Answers

Answer:

C. 7.5

Step-by-step explanation:

I took the quiz on EDGE

If the first term of the sequence is 120, then f(5) will be 7.5

What is recursively sequence?In mathematics and theoretical computer science, a constant-recursive sequence is an infinite sequence of numbers satisfying a linear recurrence relation: each number in the sequence is equal to a fixed linear combination of one or more of its immediate predecessors. A recursive sequence is a sequence of numbers formed by using previous terms to find the next terms, such as the Fibonacci sequence.

How to solve this problem?

The steps are as follow:

From the given conditions We knew the sequence is defined by the formula f(n + 1) = - 0.5f(n) and we know f(1) = 120So f(1 + 1) = f(2) = - 0.5f(1) = - 0.5 * 120 = f(2) = - 60Then f(2+1) = f(3) = -0,5 f(2) = -0,5x-60 f(3)=30f(3 + 1) = f(4) = - 0.5f(3) = - 0.5 * 30 = f(4)= -15f(4 + 1) = f(5) = - 0.5f(4) = - 0.5x - 15 = f(5) = 7.5So, f(5) = 7.5

So if the first term of the sequence is 120, then f(5) will be 7.5

Learn more about recursively sequence here:

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2(3y+6)−3(−4−y) simplified

Answers

Answer:

9y+24

Step-by-step explanation:

2(3y+6)-3(-4-y)

Expand the brackets.

6y+12+12+3y

Rearrange.

6y+3y+12+12

Add like terms.

9y+24

Answer:

9y+24

solution,

[tex]2(3y + 6) - 3( - 4 - y) \\ = 6y + 12 + 12 + 3y[/tex]

Collect like terms,

[tex]6y + 3y + 12 + 12[/tex]

Simplify

[tex]9y + 24[/tex]

hope this helps...

Good luck on your assignment..

All applicants for admission to graduate study in business are given a standardized test. Scores are normally distributed with a mean of 460 and standard deviation of 80. What fraction of applicants would you expect to have scores of 600 or above

Answers

Answer:

The probability that applicants would you expect to have scores of 600 or above = 0.0401 or 4%

Step-by-step explanation:

Explanation:-

Let "x" Scores are normally distributed

Given  mean of the Population = 460

standard deviation of the population = 80

Let X = 600

[tex]Z = \frac{x -mean}{S.D} = \frac{600-460}{80} =1.75[/tex]

The probability that applicants would you expect to have scores of 600 or above

P( X≥600) = P( Z≥ 1.75)

                = 1- P( Z≤1.75)

               = 1- ( 0.5 + A(1.75)

              =  1- 0.5 - A(1.75)

              = 0.5 - 0.4599 (from Normal table)

              = 0.0401

The probability that applicants would you expect to have scores of 600 or above = 0.0401 or 4%

                         

Consider the next 1000 98% CIs for μ that a statistical consultant will obtain for various clients. Suppose the data sets on which the intervals are based are selected independently of one another. How many of these 1000 intervals do you expect to capture the corresponding value of μ?

Answers

Answer:

980 intervals.

Step-by-step explanation:

For each interval, there are only two possible outcomes. Either it captures the population mean, or it does not. One interval is independent of other intervals. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

98% confidence interval

Has a 98% probability of capturing the population mean, so [tex]p = 0.98[/tex]

1000 intervals

This means that [tex]n = 1000[/tex]

How many of these 1000 intervals do you expect to capture the corresponding value of μ?

[tex]E(X) = np = 1000*0.98 = 980[/tex]

980 intervals.

A restaurant borrows from a local bank for months. The local bank charges simple interest at an annual rate of for this loan. Assume each month is of a year. Answer each part below.Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.
(a) Find the interest that will be owed after 4 months
(b) Assuming the restaurant doesn't make any payments, find the amount owed after 4 months

Answers

Complete Question:

A restaurant borrows $16,100 from a local bank for 4 months. The local bank charges simple interest at an annual rate of 2.45% for this loan. Assume each month is 1/12 of a year.

Answer each part below.Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.

(a) Find the interest that will be owed after 4 months

(b) Assuming the restaurant doesn't make any payments, find the amount owed after 4 months

Answer:

a) Interest that will be owed after 4 months , I = $131.48

b) Amount owed by the restaurant after 4 months = $16231.48

Step-by-step explanation:

Note that the question instructs not to round any intermediate computations except the final answer.

Annual rate = 2.45%

Monthly rate, [tex]R = \frac{2.45\%}{12}[/tex]

R = 0.20416666666%

Time, T = 4 months

Interest, [tex]I = \frac{PRT}{100}[/tex]

[tex]I = \frac{16100 * 0.20416666666 * 4}{100} \\I = 161 * 0.20416666666 * 4\\I = \$131.483333333\\I = \$131.48[/tex]

b) If the restaurant doesn't make any payments, that means after four months, they will be owing both the capital and the interest ( i.e the amount)

Amount owed by the restaurant after 4 months = (Amount borrowed + Interest)

Amount owed by the restaurant after 4 months = 16100 + 131.48

Amount owed by the restaurant after 4 months = $16231.48

Consider the following sets of sample data: A: 431, 447, 306, 413, 315, 432, 312, 387, 295, 327, 323, 296, 441, 312 B: $1.35, $1.82, $1.82, $2.72, $1.07, $1.86, $2.71, $2.61, $1.13, $1.20, $1.41 Step 1 of 2 : For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.

Answers

Answer:

Dataset A

We have the following results:

[tex] \bar X_A = 359.786[/tex]

[tex]s_A= 60.904[/tex]

[tex] CV_A = \frac{60.904}{359.786}= 0.169 \approx 0.2[/tex]

Dataset B

We have the following results:

[tex] \bar X_B = 1.791[/tex]

[tex]s_B= 0.635[/tex]

[tex] CV_B = \frac{0.635}{1.791}= 0.355 \approx 0.4[/tex]

Step-by-step explanation:

For this case we have the following info given:

A: 431, 447, 306, 413, 315, 432, 312, 387, 295, 327, 323, 296, 441, 312

B: $1.35, $1.82, $1.82, $2.72, $1.07, $1.86, $2.71, $2.61, $1.13, $1.20, $1.41

We need to remember that the coeffcient of variation is given by this formula:

[tex] CV= \frac{s}{\bar X}[/tex]

Where the sample mean is given by:

[tex] \bar X= \frac{\sum_{i=1}^n X_i}{n}[/tex]

And the sample deviation given by:

[tex]s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}[/tex]

Dataset A

We have the following results:

[tex] \bar X_A = 359.786[/tex]

[tex]s_A= 60.904[/tex]

[tex] CV_A = \frac{60.904}{359.786}= 0.169 \approx 0.2[/tex]

Dataset B

We have the following results:

[tex] \bar X_B = 1.791[/tex]

[tex]s_B= 0.635[/tex]

[tex] CV_B = \frac{0.635}{1.791}= 0.355 \approx 0.4[/tex]

Which of the following are equations for the line shown below? Check all that apply.


A. Y= x-2
B. Y-1=(x-3)
C. Y=x-2
D. Y+4=(x+2)

Answers

Answer: D. [tex]y+4=(x+2)[/tex]

Step-by-step explanation: Once you subtract [tex]4[/tex] from both sides, in order to solve for y (as the equation needs to be in the slope-intercept form, otherwise known as [tex]y=mx+b[/tex]), you end up with [tex]y=x-2[/tex], which is the right answer. It is the correct answer because the y-intecept shown in the equation matches what is on the graph, in addition to the fact that the slope is just [tex]x[/tex].

The point (-7,1) when reflected across the origin maps onto

Answers

Answer:

(7,-1)

Step-by-step explanation:

common rule for reflections across the origin; im guessing you meant a reflection across the line y=x since it goes through the origin too.

for this make sure to add this transformation:

(x,y) --> (-x,-y)

Which of the following are point-slope equations of the line going through (3,
6) and (1,-2)? Check all that apply:

Answers

Answer:

y+2=4(x-1)

y-6=4(x-3)

Step-by-step explanation:

Slope between (3, 6) and (1, -2)

6-(-2)/3-1

8/2

4

y+2=4(x-1)

y-6=4(x-3)

Help meeeee and thank u so much god bless u haha

Answers

Answer:

[See Below]

Step-by-step explanation:

For Point Slope Form:

Point slope form is: [tex]y-y_1=m(x-x_1)[/tex]

'm' is the slope

(x1, y1) is a coordinate point.

Slope:

Slope is rise over run. [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (-1,5) and (3,-3).

[tex]\frac{-3-5}{3-(-1)}=\frac{-8}{4}= -2[/tex]

The slope of the line is -2.

I will use (-1,5) as the point:

[tex]y-y_1=m(x-x_1)\rightarrow\boxed{y-5=-2(x+1)}[/tex]

For Slope Intercept:

Slope intercept is: [tex]y=mx+b[/tex]

'm' - Slope

'b' - y-intercept

We can use the point slope equation to convert it into slope intercept form:

[tex]y-5=-2(x+1)\\\\y-5=-2x-2\\\\y-5+5=-2x-2+5\\\\\boxed{y=-2x+3}[/tex]

For Standard Form:

Standard form is [tex]Ax+By=C[/tex]

Using out slope intercept form equation:

[tex]y=-2x+3\\\\y+2x=-2x+2x+3\\\\1y+2x=3\\\\\boxed{2x+1y=3}[/tex]

The diameter of a sphere is 4 centimeters, which represents the volume of the sphere?

Answers

Answer:

10 2/3π or 33.51

Step-by-step explanation:

the volume of a sphere is 4/3πr^3

if the sphere has a diameter of 4 the radius is half the diameter so it would be 2. 2^3 = 8 now multiply 8 by 4/3 to get 10 2/3. now multiply by pi to get 10 2/3 π or 33.5103 which rounds to 33.51

Answer:

32π/3 cubic cm

Step-by-step explanation:

write (n^3)^2 without exponets

Answers

Step-by-step explanation:

[tex]( {n}^{3} )^{2} = {n}^{6} = n \times n \times n \times n \times n \times n [/tex]

Answer:

n x n x n x n x n x n

Step-by-step explanation:

(n^3)^2 = n^6 = n x n x n x n x n x n

Which of the following statements are equivalent to the statement "Every integer has an additive inverse" NOTE: (The additive inverse of a number x is the number that, when added to x, yields zero. Example: the additive inverse of 5 is -5, since 5+-5 = 0) Integers are{ ... -3, -2,-1,0, 1, 2, 3, ...} All integers have additive inverses. A. There exists a number x such that x is the additive inverse of all integers.B. All integers have additive inverses.C. If x is an integer, then x has an additive inverse.D. Given an integer x, there exists a y such that y is the additive inverse of x.E. If x has an additive inverse, then x is an integer.

Answers

Answer:

B, C and D

Step-by-step explanation:

Given:

Statement: "Every integer has an additive inverse"

To find: statement that is equivalent to the given statement

Solution:

For any integer x, if [tex]x+y=0[/tex] then y is the additive inverse of x.

Here, 0 is the additive identity.

Statements ''All integers have additive inverses '', '' If x is an integer, then x has an additive inverse'' and  ''Given an integer x, there exists a y such that y is the additive inverse of x'' are equivalent to the given statement "Every integer has an additive inverse".

100 pts A quality assurance check is 90% accurate for non-defective devices and 96% accurate for defective devices. Of the devices checked, 18% are defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.'

Answers

90% of 18% = .9*.18 = 0.162 = 16.2%

 

So 18 - 16.2 = 1.8 = 18% of them labeled as not defective  

are actually defective.

Please mark me brainliest!

Answer:

1.8%

Step-by-step explanation:

90% × 18% = 16.2%

18% - 16.2% = 1.8%

1.8% is the probability of an incorrect conclusion.

What is the solution for this inequality? 5x ≤ 45
A. x ≥ -9
B. x ≤ 9
C. x ≤ -9
D. x ≥ 9

Answers

Answer:

[tex]x\le \:9[/tex]

Step-by-step explanation:

[tex]5x\le 45[/tex]

[tex]\frac{5x}{5}\le \frac{45}{5}[/tex]

[tex]x\le \:9[/tex]

Answer:

B

Step-by-step explanation:

We divide the entire inequality by 5 to get rid of the coefficient of x. The ≤ stays the same so we get x ≤ 9.

What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?

Answers

Answer:

Step-by-step explanation:

Answer:

its b on edge

Step-by-step explanation:

According to Brad, consumers claim to prefer the brand-name products better than the generics, but they can't even tell which is which. To test his theory, Brad gives each of 199 consumers two potato chips - one generic, and one brand-name - then asks them which one is the brand-name chip. 92 of the subjects correctly identified the brand-name chip.

Required:
a. At the 0.01 level of significance, is this significantly greater than the 50% that could be expected simply by chance?
b. Find the test statistic value.

Answers

Answer:

a. There is not enough evidence to support the claim that the proportion that correctly identifies the chip is significantly smaller than 50%.

b. Test statistic z=-1.001

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the proportion that correctly identifies the chip is significantly smaller than 50%.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.5\\\\H_a:\pi<0.5[/tex]

The significance level is 0.01.

The sample has a size n=199.

The sample proportion is p=0.462.

[tex]p=X/n=92/199=0.462[/tex]

The standard error of the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.5*0.5}{199}}\\\\\\ \sigma_p=\sqrt{0.001256}=0.035[/tex]

Then, we can calculate the z-statistic as:

[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.462-0.5+0.5/199}{0.035}=\dfrac{-0.035}{0.035}=-1.001[/tex]

This test is a left-tailed test, so the P-value for this test is calculated as:

[tex]\text{P-value}=P(z<-1.001)=0.16[/tex]

As the P-value (0.16) is greater than the significance level (0.01), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion that correctly identifies the chip is significantly smaller than 50%.

The next 3 options are:

A: x=1 or x= -3

A: x= -1 or x=3

B: Since the quadratic equation has two real solutions, the graph of the quadratic equation intercepts the x axis at (-1,0) and (3,0)

please please help. Thank you so much.

Answers

Answer:

A: x= -1 or x=3

B: Since the quadratic equation has two real solutions, the graph of the quadratic equation intercepts the x axis at (-1,0) and (3,0)

Step-by-step explanation:

x^2 -2x -3 =0

Factor

(x-3 )(x+1) =0

Using the zero product property

x-3 =0   x+1 =0

x=3  x=-1

The zeros are

(3,0) (-1,0)

It intersects the x axis at (3,0) (-1,0)

Paolo is buying salad and pizza for a company lunch. Suppose that a bowl of salad costs $5.00, and slice of costs $2.00.Let E be the amount in dollars that Paolo spends on salad and pizza. If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation _____.Now rearrange the equation you wrote above so that P is written in terms of E and S. The quantity of pizza he buys can be represented by the equation _____.Suppose Paolo has $40.00 to spend on salad and pizza; that is E = $40.00Complete the following table with values of S or P that make the equation true.To complete the first row, determine the number of pizza slices Paolo can purchase with $40.00, when the number of salad bowls he purchases is 0.Budget (Dollars) Salad (Bowls) Pizza (Slice)40.00 0 _____40.00 4 _____40.00 _____ 0

Answers

Answer:

E=5S+2PP=0.5(E-5S)

[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|[/tex]

Step-by-step explanation:

Cost of a bowl of salad = $5.00

Cost of a slice of pizza = $2.00

If Paolo buys S bowls of salad and P slices of pizza, then the total amount of money he spends E can be represented by the equation:

E=5S+2P

Next, we make P the subject of the equation above.

2P=E-5S

[tex]P=\dfrac{E-5S}{2} \\P=0.5(E-5S)[/tex]

Therefore, The quantity of pizza he buys can be represented by the equation:

P=0.5(E-5S)

When E=$40, we are required to complete the table below.

[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&\\40.00&4&\\40.00&&0\end{array}\right|[/tex]

When S=0, E=$40

From P=0.5(E-5S)

P=0.5(40-5(0))=20

When S=4, E=$40

P=0.5(40-5(4))

=0.5(40-20)

=0.5*20

=10

When P=0, E=$40

P=0.5(E-5S)

0=0.5(40-5S)

40-5S=0

5S=40

S=8

Therefore, the completed table is:

[tex]\left|\begin{array}{c|c|c}$Budget (Dollars)& $Salad (Bowls) &$Pizza (Slice)\\40.00&0&20\\40.00&4&10\\40.00&8&0\end{array}\right|[/tex]

I need help ASAP thank you

Answers

Answer:

Volume: 1080

Surface area: 654

Step-by-step explanation:

Part A:

How to solve surface Area: 2×(9×15 + 9×8 + 15×8)

How to solve volume: 9x15x8

Part B:

Surface Area

Part C:

Volume

Hope this helps

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