Jackie goes to the mall every weekend with her friends. Last week, the group spent $28.00 on 2 salads and 4 fruit smoothies. This week, the group spent $38.00 on 3 salads and 5 fruit smoothies. Let x represent the cost of a salad and let y represent the cost of a smoothie. 2x + 4y = 28 3x + 5y = 38 If you multiply the first equation by –3, what could you multiply the second equation by to eliminate the x-variable when adding the equations? What is the cost of a salad? What is the cost of a smoothie?

Answers

Answer 1

Answer:

Salad(x)=6, smoothie(y)=4

Step-by-step explanation:

Salad=x

Smoothie=y

2x+4y=28 (1)

3x+5y=38 (2)

To eliminate the x- variable ,equ(1) is multiplied by -3 and equ(2) is multiplied by 2

-6x-12y=-84 (3)

6x+10y=76 (4)

Add equ (3) and (4)

-2y=-8

y=-8/-2

y=4

Substitute y=4 into equ(1)

2x+4y=28

2x+4(4)=28

2x+16=28

2x=28-16

2x=12

x=12/2

=6

x=6, y=4

Answer 2

Answer:

when adding equations: 2

salads: $6

smooties: $4

Step-by-step explanation:

just did it

hope this helps :)


Related Questions

Please help me ASAP!!!

Answers

Answer:

E.

Step-by-step explanation:

There are 12 balloons in each package.  Multiply this by the number of packages to get the number of balloons.

Answer:

E. 12p

Step-by-step explanation:

Multiply 12 by the number of packages to get the total number of ballons.

Ex.

If P is 7 :

12 x 7 = 84

84 ballons in total.

If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).

A. 3x – 6x + 2
B. 3x + 6x + 2
C. 17x – 2
D. 3x + 14x – 2

Answers

Answer:

a is answer correct i think

Step-by-step explanation:

Please Help Me. Add (2x^2+4−x^3)+(−4x^2+6x^3−2) Express the answer in standard form. Enter your answer in the box.

Answers

Answer:

2x³ - 2x² - 2

Step-by-step explanation:

Step 1: Rewrite expressions

2x² - 4x³ - 4x² + 6x³ - 2

Step 2: Combine like terms

2x³ - 2x² - 2

There are 32 students in a class. They are taking either biology or chemistry or both. The
number of students taking biology is three times as many as the number of students
taking chemistry. If 4 students are taking both biology and chemistry, how many
students are in biology?

Answers

Answer:

27

Step-by-step explanation:

Let's call the number of students taking chemistry x which makes the biology students 3x. Since the overlap is 4 the amount of students who take chemistry only or biology only is x - 4 and 3x - 4 respectively therefore we can write:

x - 4 + 3x - 4 + 4 = 32

4x - 4 = 32

4x = 36

x = 9

Since x = 9, the amount of biology students is 3x which is 3 * 9 = 27.

Answer:

27

Step-by-step explanation:

use the greatest common factor and the distributive property to find the sum of 36 and 8. The Greatest common factor is 16

Answers

Answer:

44

Step-by-step explanation:

Greatest common factor is 4

36 = 4*9

8 = 4*2

36+8 = 4*9 + 4*2

= 4(9+2)

= 4(11)

= 44

Hope it helps ...

Ms. Eskew's class had a class average of 89 % on their Math test. How would this be written as a ratio? A. 11:100 B. 89:100 C. 78:100 D. 100:89

Answers

Answer: 89:100

Step-by-step explanation:

89% out of a possible 100%

So, ratio will be 89:100

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?

Answers

The way you can tell if the graph is going to cross the x-axis or just touch the x-axis is by looking at the power of factor

(x-5)^3 has a power of 3 which is an ODD number. An ODD power means that the graph will cross through the x-axis

(x+2)^2 has the power of 2 which is an EVEN number. An Even power means that the graph will touch the x-axis

To find where it will touch the axis set the factor equal to zero and solve .

(x + 2) = 0

Subtract 2 from both sides

x=-2

Find the difference
[tex]( - {3x}^{3} - {7x}^{2} + 5x - 4) - ( {6x}^{2} - 8)[/tex]

Answers

Answer:

Step-by-step explanation:

What type of number is 104i+27?

A) Real

B) Imaginary

C) Complex

Answers

Answer:

Complex

Step-by-step explanation:

104i + 27

This has a real component 27

and an imaginary component 104i

That makes this complex

Solve the equation. 1.25 =0.75+r

Answers

Answer:

0.50

Step-by-step explanation:

Do the opposite of addition

So 1.25 - 0.75

The solution to the equation 1.25 = 0.75 + r for r is r = 0.5

How to determine the solution to the equation for r

From the question, we have the following parameters that can be used in our computation:

1.25 = 0.75 + r

Add -0.75 to both sides of the equation

so, we have the following representation

-0.75 + 1.25 = 0.75 + r + -0.75

Evaluate the like terms on the right hand side

This gives

-0.75 + 1.25 = r

Evaluate the like terms on the left hand side

This gives

0.5 = r

Rewrite as

r = 0.5

Hence. the solution is 0.5

Read more about equations at

https://brainly.com/question/32492977

#SPJ6

Natalia wants to attend Louisiana State University. One year at Louisiana State University costs approximately $24,000. She currently has $4,000 in savings. Natalia has received a one-time grant of $1,500 and an annual academic scholarship for $3,500. She plans to enroll in the work study program that will pay $12,000 annually for part-time work. How much will Natalia need to borrow in student loans in order to attend Louisiana State University for 4 years?

Answers

Answer:

He needs to borrow $28,500 to attend the University for 4 years.

Step-by-step explanation:

One year at the University costs $24,000. The total she has to pay are 4 * $24,000 = $96,000

minus the $4,000 she has in savings: $96,000 - $4,000 = $92,000

minus the $1,500 she received one time: $92,000 - $1,500 = $90,500

minus $3,500 per anual

           4* $3,500 = $14,000            

           $90,500 - $14,000 = $76,500

minus $ 12,000 per anual

            4 * $12,000 = $48,000

            $76,500 - $48,00 = $28,500

Josephine bought a sweater for $9.99 and a skirt for $21.50. She gave the clerk $50. How much change did she receive

Answers

Answer: $18.51

Step-by-step explanation:

She paid $50

Her total purchases

$9.99 + $21.50 = 31.49

Change = (50 - 31.49) = 18.51

The answer is $18.51

Step by step explanation:
$9.99 + $21.50 = $31.49
$50 - $31.49 = $18.51

Hope it helps

Find x and y. Give reasons to justify your solution.

Answers

Answer:

x = 32

y = 35

Step-by-step explanation:

x = 32 because they are vertical angles. Vertical Angles means a pairs of opposite angles made by two intersecting lines.

y = 35 because the vertical angle for y is 35 (view attached image below). Also, if we add all the angles together in the image, it comes out to a sum of 360 degrees, which is a full circle.

Answer:

x=32 degrees

y=35 degrees

Step-by-step explanation:

trust me

can anyone help pls. 10 points​

Answers

Answer:

There is an average of 3.75 people per family (Also known as 4, because you can't have 0.75 of a person)

Step-by-step explanation:

[tex]\frac{1+1+1+2+2+3+3+3+3+3+3+3+4+4+4+4+4+4+4+4+4+4+4+4+4+5+5+5+5+5+5+5+5+5+5+5}{36}[/tex]

(1x3)+(2x2)+(3x7)+(4x13)+(5x11)=135
135/36=3.75
=4

Identify the parent function of f(x)=(x+3)3

Answers

Answer:

g(x) = x^3

Step-by-step explanation:

f(x)=(x+3)^3

The parent function is

g(x) = x^3

The function was shifted to the left 3 units from the parent function

f(x) = ( x- -3) ^3

f(x) = ( x+3) ^3

(parent function) f(x) = (x+3)3

Solve the system.
2x + y = 3
-2g = 14 – 6x
Write each equation in slope-intercept form.
Y = ___x + ___
Y = ___x + ___

Answers

Answer:

2 x + y - 3 = 0

2 g + 6 x - 14 = 0 2 g = -2 (3 x - 7)

x = 7/3 - g/3

Step-by-step explanation:

Solve for x:

2 g = 14 - 6 x

2 g = 14 - 6 x is equivalent to 14 - 6 x = 2 g:

14 - 6 x = 2 g

Subtract 14 from both sides:

-6 x = 2 g - 14

Divide both sides by -6:

Answer: |

| x = 7/3 - g/3

Answer:

y= -2 x + 3

y= 3 x + -7

The slops and they y-intercepts are different

Intersect at one point

Exactly one solution

Step-by-step explanation:

Edge 2022

The sum of seven times a number—
PLEASE HELP!

Answers

Answer:

x = 6

y = 4

Step-by-step explanation:

Let the two numbers be x and y

Condition 1:

7x+3y = 54 -----------(1)

Condition 2:

x = 2+y -----------------(2)

Putting (2) in (1)

=> 7(y+2)+3y = 54

=> 7y+14+3y = 54

=> 10y = 54-14

=> 10y = 40

Dividing both sides by 10

=> y = 4

Now putting y = 4 in eq(2)

=> x = 2+4

=> x = 6

Answer:

[tex]4\\6[/tex]

Step-by-step explanation:

[tex]7x+3y=54\\x=y+2[/tex]

[tex]7(y+2)+3y=54\\7y+14+3y=54\\10y+14=54\\10y=40\\y=4[/tex]

[tex]x=y+2\\x=4+2\\x=6[/tex]

Please help me. Multiply. (x−5)(3x+6) Express the answer in standard form. Enter your answer in the box.

Answers

Answer:

3x² - 9x - 30

Step-by-step explanation:

We use FOIL to multiply (First, Outside, Inside, Last)

Step 1: F

3x²

Step 2: O

6x

Step 3: I

-15x

Step 4: L

-30

Step 5: Rewrite

3x² + 6x - 15x - 30

Step 6: Combine like terms

3x² - 9x - 30

Answer:

[tex]3x^2-9x-30[/tex]

Step-by-step explanation:

Use the FOIL method to solve:

First: [tex]x*3x=3x^2[/tex]

Outer: [tex]x*6=6x[/tex]

Inner: [tex]-5*3x=-15x[/tex]

Last: [tex]-5*6=-30[/tex]

Combining them all, we get:

[tex]3x^2+6x-15x-30=\\3x^2-9x-30[/tex]

Video games sold: x
Revenue function: R(x) = 60x
Cost function: C(x) = 12 + 7x
Profit function: Px) =

Answers

Answer:

Profit P(x) = 53x-12 and On selling 20 video games profit will be 1048.

Step-by-step explanation:

In the given question functions are Revenue function : R(x) = 60x and Cost function : C(x) = 12+7x  for the sale of x video games

As we know profit = sale price - cost price

Therefore P(x) = R(x) - C(x)

Or P(x) = (R-C)x = 60x - (12+7x)

P(x) = 60x -12 - 7x

P(x) = 53x -12

Now the profit on selling 20 video games will be

P(20) = 53×20 -12 = 1060 -12 = 1048.

These triangles ARE similar! Which reason proves it?
Circle one:
AA~
SSS~
SAS~
SHOW CALCULATIONS to verify they are similar!

Answers

Answer:

I would say AA

Step-by-step explanation:

try to separate the picture to see the bigger picture and you can do it.

this graph shows the solution to which inequality? (3,2) (-3,-6)

Answers

Answer:

y > 4/3 x  - 2.

Step-by-step explanation:

First find the equation of the dashed line:

The slope (-6-2)/(-3-3)

= -8/-6

= 4/3.

y - y1 =m(x - x1)   where m = slope and (x1,y1) is a point on the line.

y  - 2= 4/3(x - 3)

y =  4/3(x - 3) + 2

y = 4/3 x  - 2

As the shading is above the line the answer is

y > 4/3 x  - 2.

Answer: A

Y>4/3x-2

Step-by-step explanation:

The Japanese Yen corresponds to the American Dollar. If the exchange rate is 150 Yen for 1 Dollar, then a Japanese car sold in America for $10,000 will bring in 1,500,000 Yen. If the exchange rate changes to 120 Yen for each Dollar, then what price in Dollars would the car have to be sold in America to bring the Japanese 1,500,000 Yen?

Answers

Answer:

125,000

Step-by-step explanation:

Take the Japanese yen and divide by 12

1,500,000 divided by 12 = 125,000

The radius of a circle is 8 ft. Find the circumference in terms of pie? ( please its urgent)

Answers

Answer:

C = 16 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * pi *8

C = 16 pi

Answer:

[tex] = 16\pi \: ft \\ [/tex]

Step-by-step explanation:

[tex]c = 2\pi \: r \\ = 2 \times \pi \times 8 \\ = 16\pi \: ft[/tex]

hope this helps you

. When f(x)=6x + 4 and g(x) = -6x + 3, find (g ◦ f)(6).

Answers

Answer:

- 237

Step-by-step explanation:

To evaluate (g ○ f)(6) , evaluate f(6) and use the value obtained to evaluate g(x), that is

f(6) = 6(6) + 4 = 36 + 4 = 40, then

g(40) = - 6(40) + 3 = - 240 + 3 = - 237

Answer:

First find g o f(x)

= -6(6x +4) + 3

= -36x -24 +3

= -36x -21

g o f(6) = -36(6) - 21

= -216-21

= -237

Hope this helps.

please help with this

Answers

Answer:

1. 18x^11

2. 3n^7

3. x^9

4.-2s^9

5. 6v^14

6.-3p^6

7. 8b^10

can i get brainliest for this pls :)

Identify examples and non-examples of the standard form of a linear function.

5x - 3y = 9

y = 1/2x - 3

2x + 3y = 0

x + y = 1

x = 6y

y = x - 2

Which are examples and which are non- examples?

Answers

Answer:

5x - 3y = 9 (Example) y = 1/2x - 3 (Non-Example) 2x + 3y = 0 (Example) x + y = 1 (Example) x = 6y (Non-Example) y = x - 2 (Non-example)

Step-by-step explanation:

Standard form of the equation is given by:

Ax + By = C

Where

x and y are variablesA, B and C are constants which must be Integers. A should always be positive.

Considering the definition, we can identify the examples and non-examples of standard from of a linear equation.

5x - 3y = 9In a form of Ax + By = CA,B and C are constantsA=5 is positive

It is an EXAMPLE of standard form of linear function

y = 1/2x - 3Not in the form of Ax + By =C

NON-EXAMPLE

2x + 3y = 0In a form of Ax + By = CA,B and C are constantsA=5 is positive

It is an EXAMPLE of standard form of linear function

x + y = 1In a form of Ax + By = CA,B and C are constantsA=5 is positive

It is an EXAMPLE of standard form of linear function

x = 6yNot in the form of Ax + By =C

NON-EXAMPLE

y = x - 2Not in the form of Ax + By =C

NON-EXAMPLE

Answer:

answer in the picture

Step-by-step explanation:

Help plz will give brainliest

Answers

Answer:

150

Step-by-step explanation:

[tex]30\% \times 500 \\ 0.3 \times 500 \\ = 150[/tex]

Answer: the answer is 150

Step-by-step explanation:

30% x 500

0.3 x 500

= 150

A line is drawn through the point (-1,-1), parallel to the line 2x-3y+9=0. Where will it cross the x-axis?

Answers

Answer:

2x-3y-1=0I hope I'm correct.

Step-by-step explanation:

[tex]2x-3y+9=0\\Rearrange -in-form-of : y = mx+b\\-3y=0-9-2x\\-3y=-2x-9\\\frac{-3y=-2x-9}{-3} \\y =\frac{2}{3} \\\\For- parallelism- , m1=m2\\One -point- form (-1,-1)\\x1 = -1\\y1 = -1 \\m = \frac{2}{3}\\ y -y1=m(x-x1)\\y -(-1)=\frac{2}{3} (x-(-1))\\y+1=\frac{2}{3}(x+1)\\y+1=\frac{2}{3}x + \frac{2}{3}\\\\y = \frac{2}{3}x + \frac{2}{3}-1\\\\y = \frac{2}{3}x - \frac{1}{3}\\Multiply- through-: by 3 \\3[y = \frac{2}{3}x - \frac{1}{3}]\\\\3y = 2x -1\\Answer = 2x-3y-1=0[/tex]

^^^^^^^^^^^^^^^^^^**^^^^^^^^^^^^^

which of the following is a qualitative statement that is reasonable based on the data? A The fewest number of cars at home is 0 B Most students have 2 or fewer cars at home C Most students have 3 or more cars at home D The median number of cars at home is 3

Answers

Answer:

B

Step-by-step explanation:

whats the answer???​

Answers

Answer:

wtz i think is the answer. they are supplementary

Step-by-step explanation:

Answer:

WTZ

Step-by-step explanation:

Supplementary angles add to 180 degrees or form a straight line

WTV and WTZ make a straight line so  they are supplementary angles

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