You are planning a skating party at a rink that charges a basic fee of
$10.00 and $6.00 per person for catered parties. You don't want to spend
more than $52.00. Write and solve an inequality to find the number of
friends you can invite.
a. 6x + 10 < 52; x< 7
6. 6x + 10 > 52; <> 7
C. 6% + 10 > 52; 2 >7
d. 6x + 10 < 52; x < 7

Answer:

1st one: 50 cups

2nd one: 3.125 gallons

Step-by-step explanation:

Question 1:

2.5 cups per pitcher

20pitchers x 2.5cups = 50cups total

Question 2:

16 cups per gallon

50cups / 16cups = 3.125 gallons

Answer:

D 50

Step-by-step explanation:

B 34 gallons

Answer:

25%

Step-by-step explanation:

1,000x4 would be 4 thousand, so the answer would be 1/4. 1/4 as a percent is 25%.

Answer:

junior is 6

Step-by-step explanation:

take 64 and divide by 5 you get 12 then take away the 6 years and you get juniors age which is 6

The equation used to find the age of Junior's age is 64 = 5J - 6 and the age of Junior will be 14 years old.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say Grandma's age is G while junior is J.

As per the given,

Grandma's age is 6 years less than 5 times Junior's age,

G = 5J - 6

64 = 5J - 6

J = 14

Hence "The equation used to find the age of Junior's age is 64 = 5J - 6 and the age of Junior will be 14 years old".

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Answer:

Step-by-step explanation:

Given the function;

g(x) = x^2 - x

We are to find g(-9)

g(-9) = (-9)² - 9

g(-9) = 81 - 9

g(-9) = 72

hence the value of g(-9) is 72

Answer:

3

Step-by-step explanation:

4x+6y=10

-

2x+5y=1

= 2x+y=9

2x=9-y       -1

9-y+5y=1    ( using 1)

4y=1-9

y=-8/4

y=-2

2x=9-(-2)

2x=11

x=11/2

Answer:

x=-7

Step-by-step explanation:

5x-2x+1=3x-6-x first combine like terms

3x+1=2x-6     combine like terms by subtracting 2x from both sides

x+1=-6           subtract 1 from both sides

x=-7

Answer:

x = 44°

Step-by-step explanation:

2x - 6 = 82

2x = 82 +6

2x = 88

divide through by 2

x = 44°

similar triangle

Answer:

Step-by-step explanation:

Wholesale price was marked up by 30% and became $125.

Assume wholesale price is x. Expression will be;

125 = x + (30% * x)

125 = 1.3x

x = 125/1.3

x = $96.15

Retail price percentage = 125/96.15

= 1.30

= 130%

Answer:

where are the choices?

Step-by-step explanation:

Answer:

150000000

Step-by-step explanation:

Answer: E.  because i just took the test on plato  

Answer: [tex]w = 10[/tex]

Step-by-step explanation:

Our perimeter will be 140 cm and our width of the rectangle will be 6w. We will then divide 14w and 140 by 14 so we can get w by itself. Then, we will divide the perimeter by the width.

Step 1: Let 6w will be our length and let the perimeter be 140 cm.

[tex]6w, P = 140 cm[/tex]

Step 2: Perimeter means that you add up all the 4 sides of the rectangle.

[tex]P = 140 = w + w + 6w + 6w = 14w[/tex]

[tex]P = 140, 14w[/tex]

Step 3: Divide both sides 14 to get the single w variable.

[tex]\frac{140}{14} = \frac{14w}{14}[/tex]

Step 4: Simplify.

[tex]10 = w[/tex]

Step 5: Flip sides.

[tex]w = 10[/tex]

~I hope I helped you :)~

Answer:

I think "D"- 3(x + 3)

Step-by-step explanation:

as  3 years ago - x

so present age of shilpa  - x +3

~~~~~~~~~~~~~

present age  of sindhu - 3 (x+3)

i guess : )

Shilpa's age three years ago

Shilpa's age now = x + 3

Sindhu's age now = 3(x + 3)

Answer:

The answer is the second one

x =56 y =90

Step-by-step explanation:

hxjxskalskdhxgxh

Answer:

1/3pi x r^2 / 4 x 2h

Step-by-step explanation:

Ummm I'm just clueless. :/

Answer:

Subtract 8 from both sides which lead it to 2=h/2, then multiply two for each side then it turns to 4=h

Answer:

Step-by-step explanation: he has to work 3 hours because

                                                                              $40 = 4 hours

                                                                              $40 x 3 hours = $120

Answer:

no picture sorry but if either tanks line goes higher than the other than its filling faster

Step-by-step explanation:

The equation for the line that passes through the point A ( -3 , 4 ) and

B ( 1 , 4 ) is y = 4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the first point be A ( x₁ , y₁ ) = A ( -3 , 4 )

Let the second point be B ( x₂ , y₂ ) = B ( 1 , 4 )

Now ,

The equation for the line is given by

y - y₁ = m ( x - x₁ )

To find the slope of the line ,

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values , we get

m = ( 4 - 4 ) / 1 - ( - 3 )

m = 0

So , the slope of the line is 0

Now ,

The equation of line will be

y - 4 = 0 ( x - ( -3 ) )

y - 4 = 0

Adding 4 on both sides , we get

y = 4

So , the equation of the line is y = 4

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Answer:

the answer is:

5x - 2x = 15 - 6

3x = 9

x = 3

Answer:

Not exactly

Step-by-step explanation:

Total payment:

Total amount is a little different:

Answer:

C. 20%

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Full equation: y = 3/2x + 1

Answer: y = -x - 4

Step-by-step explanation: