How many cups of lemonade please?

Answer:

[tex]4P+2G=96\\3P+1G=60 or 3P+G=60[/tex]

Step-by-step explanation:

Given in the question:

a) A family paid $96 for 4 pool passes and 2 gym memberships.

b) Later that day, an individual bought pool passes for herself and 2 of her friends, and 1 gym membership for her. She paid $60.

Let's write the system of equations for each purchase  that happened in the scenario.

Let,

P=Price of each pool passes

G= Price of each gym membership

We get,

a) A family paid $96 for 4 pool passes and 2 gym memberships:

[tex]4P+2G=96[/tex]

b) Later that day, an individual bought pool passes for herself and 2 of her friends , and 1 gym membership for her. She paid $60:

[tex]3P+1G=60[/tex]

Therefore, the equations generated in the scenario were:

[tex]4P+2G=96\\3P+1G=60 or 3P+G=60[/tex]

Where,

P=Price of each pool passes

G= Price of each gym membership

PLEASE MARK ME AS BRAINLIEST

Answer:

C

Step-by-step explanation:

If you graph this, it will be a straight line.

It is, therefore, a linear function.

Answer:

x= −3/5y +3 y= -5/3 + 5

Step-by-step explanation:

Answer:

If we are solving for y we move all terms that don't contain y to the right side and solve.

So y = 5 - 5x/3

Answer:

-2x+8

Step-by-step explanation:

Answer:

6 Bags

Step-by-step explanation:

Volume: LxWxH

L=4

W=2

H=1 1/2

8x 1/12= 12

12/2 = 6

Ans: 6 Bags

Answer: F

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

3.3 x 3 = 9.9 which is close to 10 so its H

Answer: Line C

Step-by-step explanation:

Because when you use the slope formula on it you get a negative slope. Also the line in going down unlike the other lines which are goign up.

Answer:

-27

Step-by-step explanation:

x+23−23=−4−23

x=−27

Answer: 1/12 of the whole pizza

Step-by-step explanation:

Someone cut a whole pizza into 3 pieces.

This means that the pizza was cut into 1/3 slices each.

She then gave her 4 children one of these sections to share equally.

The part each child got is:

= 1/3 ÷ 4

= 1/3 * 1/4

= 1/12 of the whole pizza

Note: When dividing fractions, you can multiply the first fraction by the inverse of the second fraction to find your answer.

Answer:

I think is 2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

COP is slope which is rise over run.

Answer:

Step-by-step explanation:

[tex] \frac{6}{x - 1} = \frac{4}{x + 2} [/tex]

[tex]6x + 12 = 4x - 4[/tex]

[tex]6x - 4x = - 12 - 4[/tex]

[tex]2x = - 16[/tex]

[tex]x = - 8[/tex]

Answer:

9x + 3m + 8n + 14

Step-by-step explanation:

Add all like terms.

7 -2 + 9 = 14

You can't do anything with the variables since they're all different.

9x + 3m + 8n + 14

Answer:

3m+8n+9x+14

Step-by-step explanation:

btw try math-way!! helps

Answer:

The smallest possible length for the 3rd side must be 4

Step-by-step explanation:

Any 2 sides combined must be greater than the 3rd side

Answer:

y=-2.5[tex]x^{2}[/tex]+4.5x+1.5

Step-by-step explanation:

standard form of equation of parabola is,

y=a[tex]x^{2}[/tex]+bx+c

For x=0

1.5=0a+0b+c

1.5=c

For x=-2,

2.5=4a-2b+c

substituting the value of c

2.5=4a-2b+1.5

on solving,

4a-2b=1____________(1)

For x=4,

-60.5=16a+4b+c

substituting the value of c,

-60.5=16a+4b+1.5

on solving,

16a+4b=-62_______(2)

Multiplying equation 1 by 2,

8a-4b=2_______(3)

adding equation 2 and 3

16a+4b+8a-4b=-62+2

24a=-60

on solving,

a=-2.5

substituting the value of a in equation 1,

10-2b=1

2b=9

b=4.5

hence, equation of parabola in standard form is,

y=-2.5[tex]x^{2}[/tex]+4.5x+1.5

Answer:

3(x+y)+15xy

Step-by-step explanation:

Write an algebraic expression for the verbal expression: three times the sum of X and Y increase by five times the product of x and 3y.

Sum of x and y = x+y

three times the sum of X and Y = 3(x+y)

product of x and 3y  = x(3y) = 3xy

five times the product of x and 3y = 5(3xy) = 15xy

Three times the sum of X and Y increase by five times the product of x and 3y will be expressed as;

3(x+y) + 15xy

Hence the required algebraic expression is 3(x+y)+15xy

Answer:

17.628 = 17.6

Step-by-step explanation:

Answer:

angle P congruent to angle N

Step-by-step explanation:

You know the angles at Q are congruent.

If angle P is congruent to angle N, then angle R is congruent to angle D.

Then both triangles are similar.

Answer: the answer is 23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

10+8+5=23

Answer:

(B).

Step-by-step explanation:

√x(x + 3)(x - 6) = √x(x² - 3x - 18) = [tex]\sqrt{x^{5} }[/tex] - 3[tex]\sqrt{x^{3} }[/tex] - 18√x

Answer:

y-intercept of the function [tex]y=\frac{2}{3}x-3[/tex] is -3.

Step-by-step explanation:

We need to find the function that had the same y-intercept as the function [tex]y=\frac{2}{3}x-3[/tex]

(Note: Since the options are not given, so I will find the y-intercept of the given equation and you can match it with the functions and find the y-intercept of the required function)

The equation given [tex]y=\frac{2}{3}x-3[/tex] is written in slope-intercept form i.e [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Comparing equation [tex]y=\frac{2}{3}x-3[/tex] with [tex]y=mx+b[/tex] we get the value of b = -3

So, y-intercept of the function [tex]y=\frac{2}{3}x-3[/tex] is -3.

Now, for the options (not included) in the question, you can find y-intercept and function that have y-intercept = -3 will be the answer.

Answer:

I think the scale factor would be 1/6

Answer:

1/6

Step-by-step explanation:

3 feet = 3*12 = 36

Scale factor = 6/36 = 1/6

Answer:

Kindly check attached picture for circle illustration.

Step-by-step explanation:

The whole circle = 1

Half the circle = semicircle = 1/2

Half the semicircle = 1/4

Half of 1/4 = 1/8

Hence, Geraldo would obtain 1/8

Normal calculation:

1/2 ÷ 2

1/2 * 2/1 = 1/4

Quotient = 1/4

Quotient / 2

1/4 ÷ 2

1/4 * 1/2

= 1/ 8

Answer: 52

Step-by-step explanation:

42-(-10) first since your multiplying the two negative signs with each other it turns into a positive and looks like 42+10 and 42+10=52

Answer:

y=2(-2)+3

y=-1

y=2(-1)+3

y=1

y=2(0)+3

y=3

y=5

y=7

Answer:

(From left to right)

1st y (output):   -1

2nd y (output):   1

3rd y (output):   3

4th y (output):   5

5th y (output):   7

Step-by-step explanation:

Substitute each x (input) into the given equation and solve. For example, to get the first y (output), substitute "-2" into the "x" in the equation, giving you "y = 2(-2) +3", then solve it.

Multiply 2(-2) to get -4, then add 3 to get -1.