Michael spent $18 at a local farmers’ market. The apples he bought cost $2 per pound, and the peppers cost $3 per pound. How many pounds of apples and peppers did he buy?

This equation represents the scenario:

2a + 3p = 18

Choose the equations that are equivalent.
Check all that apply.
p = two-thirds a + 6
p = negative two-thirds a + 6
a = negative 1 and one-half p + 9
a = 1 and one-half p + 9
a = StartFraction negative 3 p + 18 Over 2 EndFraction

Answers

Answer 1

Answer:

p = -2/3a +6

a = -3/2 p +9

a = -1 1/2 p +9

a =  (-3p+18)/2

Step-by-step explanation:

2a + 3p = 18

Solve for a

2a +3p -3p = 18-3p

2a = 18 -3p

Divide by 2

a = 18/2 - 3p/2

a = 9 - 3/2 p

a = -3/2 p +9

a = -1 1/2 p +9

a =  (-3p+18)/2

Solve for p

2a +3p = 18

3p = 18 -2a

Divide by 3

p = 18/3 - 2/3 a

p = 6 -2/3a

p = -2/3a +6


Related Questions

1
Mrs. Johnson wants to give items to her afterschool group. She has 36 prizes and 24 ballons. What is the greatest number of children she can have in her group so that each child gets equal number of prizes, and an equal number of ballons?
2
Two radio stations are playing this week's #1 hit song. One radio station plays the song every 18 minutes. The other radio station plays the song every 24 minutes. Both stations play the song at 3pm. How many minutes will pass before they play the same song again. (Only write the minutes.)

Answers

Answer:

1) 12

2) 72

Step-by-step explanation:

1) The GCF of 36 and 24 is 12. So, each child would get 3 prizes and 2 balloons.

2) The LCM of 18 and 24 is 72. When the first radio station is playing the song for the fourth time, the second radio station will play the song for the third time. This will happen 72 minutes after they both play it for the first time.

Answer:

1. 12 children

2. 72 minutes

Step-by-step explanation:

1. Find the GCF of 36 and 24, which is 12

2. Find the LCM of 18 and 24, which is 72

What does point H represent?

Answers

C. Chana’s and Josiah’s distance from the starting line at the time when chana catches up to Josiah

Answer:

C

Step-by-step explanation:

Jane surveys a random sample of 200 students from her middle school to learn what type of school lunch is preferred. The table below shows the result of the survey:


Lunch Type Sandwich Hot Dog Salad
Number of students 84 85 31


Which of the following inferences can be made based on the data?
A sandwich is the most preferred lunch.
A sandwich is two times more popular than a salad.
Sandwiches and hot dogs are almost equally preferred.
A hot dog is almost two times more popular than a salad.

Answers

Answer:

Sandwiches and hot dogs are almost equally preferred.

Step-by-step explanation:

When looking at the data, the number of students who chose sandwiches and the number of students in which who chose hot dogs is 1 off and so they are almost equally preferred.

For the equation, determine whether the equation is true for all, some, or no values of x.

Explain how you know.

−3x=x×−3

Answers

Answer:

nothing can be further done with this topic. please check the expression entered or submit a picture for futher understanding

Step-by-step explanation:

It would be true for all values of x. If you multiply out the right hand side, you would get -3x = -3x. Dividing both sides by -3 gives you x=x, which is always true.

Hope this helps!

Using the GCF and distributive property, which expressions is equivalent (equal) to 12y + 16

A 2(6y + 80)

B 4(3y + 4)

C 28y

D 16 + 12y

Answers

Answer:

4(3y+4)

Step-by-step explanation:

12y + 16

4*3*y +4*4

Factor out 4

4(3y+4)

Answer:

2(6y+80) = 12y+160

4(3y+4) = 12y+16

28y = 28y

16+12y = 12y+16 (did not use distributive property)

So,  B is correct.

Let me know if this helps!

Answer yes ooh ooh ahaha

Answers

Answer:

probably first one but i might be wrong

Step-by-step explanation:

if it has line under its filled circle and the direction the point is facing is where line goes

Answer:

1

Step-by-step explanation:

can anyone please help me?

Answers

Answer:

x = 1.4 or -1.4

Step-by-step explanation:

→ Substitute y = 4 into y = x² + 2

4 = x² + 2

→ Minus 2 from both sides

2 = x²

→ Square root both sides

√2 = x

→ Simplify

x = 1.4 or -1.4

The answer is 1.4 or -1.4.

Help!!
I need help with my math!!

Answers

Step-by-step explanation:

[tex]thank \: you[/tex]

50+75=125
125-180=55
The answer equal to 55

Will Mark Brainliest If Correct Answers! Need Some Help Please

Given the expression: 4x10 − 64x2

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

Answers

Answer:

Step-by-step explanation:

a) 4x¹⁰ = 2² * x¹⁰

   64x² = 2⁶ *x²

GCF = 2² * x² = 4x²

b) 4x¹⁰ - 64x² = 4x²*(x⁸ - 16)

                  =4x² *[ (x⁴)² - 4²]

                  = 4x² * (x⁴ + 4) (x⁴ - 4)

                  = 4x² * (x⁴ + 4)* [(x²)²- 2²]

                  =4x² * (x⁴ + 4) * (x² + 2)(x² - 2)

                 

fr33 p0ints/ umm? please help me with this question

Answers

Last choice Bc -1.5 is x value so go right and -1 is y value that goes down Bc it’s negative
A because negative means moves to the right when it comes to x axis and when it comes to y axis you move down the amount of spaces. if positive on x axis move right and positive on y axis move up

Harrison saved $48.97 from his first paycheck and $67.09 from his second paycheck. How much did he save from the paychecks?

Answers

Answer:

$116.06

Step-by-step explanation:

48.97 + 67.09 = 116.06

Answer:

$116,06

Step-by-step explanation:

48,97 + 67,09

Help me Guess just help pleaseeeeeeee

Answers

Answer:

A, C, D, and F are the rational numbers.

A C D and F are the answers

help pls :( I only need one question to pass

Answers

Answer:

The 3rd semi-circle equals 31.

Step-by-step explanation:

Since the Pythagorean Theorem states that "The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)," we can find the answer of the 3rd semi-circle by finding the sum of each of the 2 smaller semi-circles and adding them together.

the answer to this question is 31 the area of the A3 is 31

HELP ME

solve for x
2x+9<2(x+5)

Answers

I believe it would be X=All real numbers and in interval notation it would be (-infinity,infinity)
All real numbers. The interval notation would be (-infinity, infinity)

Write this in equation form!!!

Two less than the product of 5 and a number is -12


PLEASE ANSWER QUICKLY AND ACCURATELY WILL MARK BRAINLIESY

Answers

Answer:

(5x) - 2 = -12

Step-by-step explanation:

hope that helps

Answer:

-12

Step-by-step explanation:

Someone please help me with this :,D

Answers

Answer:

A hostel has provision for 45 students for 30 days.If 15 more students joined the hostel after 6 days,how long will provision last?

Answer:

It's the second answer

Step-by-step explanation:

It's the second question because the pattern is that the amount of food coloring is always 3 times more then the amount of frosting so it's point M because the amount of frosting is 50 so the amount of food coloring has to be 150 according to the ratio.

Please help me asap! I will give brainly!

Answers

Answer:

Figure 4 : 9 by 4 rectangle

17 red squares is figure 8

51 yellow squares

The pattern is +2 for the length, and the width stays the same. Hope this helped. :)

Answer:

17 rojo

51 amarillo

en el dibujo son 11 rojos y 33 amarillo

Step-by-step eplanation:

3. Solve for m:
-5m + 3 - 2m = -7m + 4 + m
1
m
12
m =
la
m = -1
m = 1

Answers

3-4=-7m+m+2m+5m
-1=m
Answer:
m=-1
-5m + 3 - 2m = -7m + 4 + m
-5m -2m +7m -m = -3 +4
-m = 1
m = 1

Express each of the following decimals as a percentage
1.35
solution for class 7

Answers

Answer:

135%

Step-by-step explanation:

To represent a decimal to percentage, multiply by 100

1.35 x 100 = 135

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

the answer would be 135%

one-half of the people at a game wore hats. two-thirds of those people also wore gloves. one-fourth of those people wearing gloves and hats also wore scarves. 25 of the people had hats and scarves but no gloves. One hundred people had only scarves. If there were 1824 people, how many had scarves
Please give answer as soon as possible

Answers

Final Answer: 277 people had scarves.

Step-by-step explanation:

1/2 people wore hats2/3 people wore also wore gloves.1/4 people wore scarves.25 people had hats and scarves. (no gloves)100 people have only scarves.1824 people total

1824 / 2 =  912 (Divide by 2 to get the people wearing hats)

912 / 3 = 304 (subtract 304 to get 2/3)

912-304 = 608

608/4 = 152. (people who wore gloves, hats, and scarves.)

152+100+25= 277

Answer:

1111

Step-by-step explanation:

1111223

ILL MARK BRAINLIEST TO FIRST CORRECT ANSWER

Dave solved a quadratic equation. His work is shown below, with Step 111 missing.
What could Dave have written as the result from Step 111?
\begin{aligned} \dfrac{1}{3}(x+4)^2&=48 \\\\ &&\text{Step }1 \\\\ x+4&=\pm 12&\text{Step }2 \\\\ x=-16&\text{ or }x=8&\text{Step }3 \end{aligned}
3
1

(x+4)
2

x+4
x=−16


=48
=±12
or x=8


Step 1
Step 2
Step 3


Choose 1 answer:
Choose 1 answer:

(Choice A)
A
\left(\dfrac{1}{3}x+\dfrac{4}{3}\right)^2=48(
3
1

x+
3
4

)
2
=48left parenthesis, start fraction, 1, divided by, 3, end fraction, x, plus, start fraction, 4, divided by, 3, end fraction, right parenthesis, squared, equals, 48

(Choice B)
B
\left(\dfrac{1}{3}x\right)^2+\left(\dfrac{4}{3}\right)^2=48(
3
1

x)
2
+(
3
4

)
2
=48left parenthesis, start fraction, 1, divided by, 3, end fraction, x, right parenthesis, squared, plus, left parenthesis, start fraction, 4, divided by, 3, end fraction, right parenthesis, squared, equals, 48

(Choice C)
C
(x+4)^2=144(x+4)
2
=144left parenthesis, x, plus, 4, right parenthesis, squared, equals, 144

(Choice D)
D
(x+4)^2=16(x+4)
2
=16

Answers

Answer:

C is the correct answer

Step-by-step explanation:

Dave solved a quadratic equation his work is shown below with step 111 missing

For the equation, determine whether the equation is true for all, some, or no values of x.

Explain how you know.

Answers

Answer:

You can check if an equation is true for all some or no values of x by simply to  try and solve the equation if you get something like x = x, then the equation  is true for all, if you get a specific answer like x=3, then it is true to some values, in simple terms. Try and solve the equation there is no other way to check unless you solve, I don't know if there is another way but this is just my intution.  

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

111

HELP MEEEEEEE PLSSSS

Answers

A,C,D is the answer
Should be A,C,D.
Hope I helped

100 POINTS
My neighborhood is full of one-way streets. To drive from my house to the grocery store, I have to go 1 block south, then 1 block east, then 5 blocks north, then 2 blocks east. Each block is 1/16 of a mile. How much shorter would my trip be if I could fly like a bird (that is, travel in a straight line)?
I FOUND THE distance for non bird which is 9/16. I wanna apply the pythagoreum theorum and draw a straight line to make it a triangle so I can do so but don't know where to place it

Answers

Answer:

1/4

Step-by-step explanation:

Let's suppose that your house is located at (0,0)

1 block south from here puts you at (0, -1/16)

1 block east from here now puts you at (1/16, -1/16)

5 blocks north from here puts you at (1/16, 4/16)

2 blocks east from here puts you at (3/16, 4/16)

You have traveled (1/16) ( 1 + 1 + 5 + 2) = 9 / 16 of a mile

The "straightline" distance between (0, 0) and (3/16, 4/16) =

sqrt [ (3/16^2 + (4/16)^2 ] = sqrt [ 25 / 256] = 5/16 of a mile

Your trip would be { 9/16 - 5/16 } equals 4/16 and simplifies equals 1/4 of a mile.

Goodluck and I hope this helped!

What is the volume of this rectangular prism?
Is it 3/2 x 1/4 x 5/3??

Answers

Volume = length x width x height

Volume = 3/2 x 1/4 x 5/3

3/2 x 1/4 = 3/8

3/8 x 5/3 = 15/24

Volume = 15/24 cm^3

Answer: 15/24

Step-by-step explanation:

3/2 x 1/4 x 5/3

please help!!! ive been trying this question for the pass 20 minutes and cant seem to understand it!!

Answers

Answer:

D

Step-by-step explanation:

Beacuse ‍♀️

Answer:

This is a rectangle, so if AB is equal to 3 centimeters, then DC is equal to 3 centimeters.

Since Angle X is equal to 45 degrees, then angle CDE, is also equal to 45 degrees, and we have an isosceles triangle, since angle  CDE and DEC are equal to each other.

This means, that CE = DC.

And because E is the midpoint of CB, CE = EB.

So basically, we have:

DC = CE = BE

DC = 3

3 = CE = BE

And we see that CE and BE are both equal to 3, which makes CB equal to 6, which makes solving the area easy. (3 x 6), which is 18.

B is correct!

Another question pls have a explaination if you know u are correct

Answers

Answer:

11x+30

Step-by-step explanation:

The value of a number whose units digit is x and whose tens digit is three more than the units digit

The number is yx

We know y is x+3

(x+3) *10 +x

Distribute

10x+30 +x

Combine like terms

11x+30

Answer:

i need to upgrade to see the answers

Step-by-step explanation:

Please help! I will give brainly

Answers

15x12=180
180$ simple unless u have a different way to do it

Answer:

y=15x+25, the cost is 205 dollars

Step-by-step explanation:

The simplest way to write a rule for this is to write it in slope intercept form, y=mx+b. Let y represent the cost of the membership. Every month the cost is 15 dollars. If we let x represent the months we can rewrite this as 15x. The one time cost is 25 dollars so we can just add that to the end of the equation. y=15x+25. There are 12 months in a year so we just have to substitute. y=15(20)+25=205 so the answer is 205 dollars.

PLEASE HELP SOON AND TRY TO EXPLAIN.
Prove that if a, b, c, d are non zero real numbers, not all equal, and if a+1/b=b+1/c=c+1/d=d+1/a then |abcd|=1. Thx!

Answers

Answer:

because any number over 0 is 0 and if   |abcd|=1 that it is not possible to be 0

Step-by-step explanation:

It’s possible it could be zero but it could also be one

Which list shows the order of the numbers from greatest to least? List 1: 2.3, 2.03, 2.5, 0.25 List 2: 0.25, 2.5, 2.03, 2.3 List 3: 2.03, 2.3, 2.5, 0.25 List 4: 2.5, 2.3, 2.03, 0.25

Answers

Answer:

4

Step-by-step explanation:

2.5, 2.3, 2.03, .25

List 4!
2.5,2.3,2.03,0.25
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