Grace has $105 to buy a cake and pizza for her cousin’s birthday party. She knows she needs to set aside $25 for the cake, and the rest of the money she can spend on pizzas. Each pizza costs $9.25. How many pizzas can Grace afford to buy?
a.write and solve an inequality to answer the question

b. each pizza serves 4 people. if 22 people reply that they will attend the party, how many pizzas should grace buy? explain your reasoning.

im sorry its alot but this will help me lots

Answers

Answer 1

Answer:

A. She can buy 8 pizzas; B. At least 6 pizzas.

Step-by-step explanation:

Since Grace has $105, we can set our inequality to be less than or equal to that amount of money.  We also know she needs to spend $25 on the cake no matter what.  Assuming x is the amount of pizzas she can buy and each pizza costs $9.25, our inequality looks like this:

9.25x + 25 ≤ 105

To solve this inequality, we first subtract 25 from both sides, which gives us:

9.25x ≤ 80

Then we divide by 9.25 on both sides, giving us:

x ≤ 8.6486

Since Grace is only able to buy whole pizzas, the most she can buy is 8 pizzas.

If each pizza serves 4 people and there are 22 people attending, we need to be able to feed 22 or more people.  We can use this inequality, where x is still the number of pizzas.

4x ≥ 22

Dividing both sides by 4, we get:

x ≥ 5.5

Again, assuming we can only buy whole pizzas, we would need at least 6 pizzas to feed the entire party.


Related Questions

what is the slope intercept equation for the linear function represented by the table?

Answers

Answer:

the answer is a

Step-by-step explanation:

x=0 the first equation gives -4

andx= 2 6/2 = 3-4= -1

[tex]\left \{ {{y=2} \atop {x=2}} \right. x_{123}[/tex]

Answers

Answer:

if a joke i dont know

Can somebody help me with this question? (Calculus)

Answers

Answer:

  y -5 = 4(x -2)

Step-by-step explanation:

The derivative of the function tells you the slope of the line at the point of tangency.

  f'(x) = 2x

  f'(2) = 4

Then the point-slope equation of the tangent is ...

  y -k = m(x -h) . . . . . line with slope m through point (h, k)

  y -5 = 4(x -2) . . . . . tangent line with slope 4 through tangent point (2, 5)

Reed has 3 boards. Each board is 4 yards long. Reed needs to cut 2 -foot-long sections for his project. What is the maximum number of 2 -foot-long sections Reed can cut from the boards?

Answers

Answer:

19

Step-by-step explanation:

3 boards that are 12 feet long = 38÷2=19

7,200 divided by 10 to the power of 2

Answers

Answer:

51840

[tex] 51840[/tex]

Answer:

518400

Step-by-step explanation:

7200 ÷ 10 is just the zero less:

= 720

Then

720 × 720 =

+1440

+5040

=518400

The Batpod and The Falcon Cycle are traveling down the
highway. That Batpod can travel at a speed of 4 miles
per minute; while the Falcon Cycle can double that at a
speed of 8 miles per minute. If Falcon gives Batman a 6
minute head start. How long will Batman have traveled
before Falcon catches him?


I need help so I can turn in my Packet?!?!?

Answers

Answer:

3/2 minutes or 1.5 minutes

Step-by-step explanation:

We want to know when the two following equations will be equal, so we can set them equal to each other

(x = time passed)

Falcon

\/

8x = 4x + 6

         /\

   Batman

8x = 4x + 6 -> 4x = 6 -> x = 6/4 -> x = 3/2

We can also graph it, see attatched

Have a nice day! - also, lol, the different car names

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

If Belinda wants to earn AT LEAST $400 profit (money earned after her expenses), how many pies does she need to sell?

Answers

Step-by-step explanation:

how do u simplify 4625/1000

Answers

Answer:

37/8

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 4625 and 1000 is 125.

4625 ÷ 1251000 ÷ 125.

Reduced fraction: 378. Therefore, 4625/1000 simplified to lowest terms is 37/8.

Identify the conclusion of the statement.
If AB is a segment, then it has two endpoints.



A. The segment has two endpoints.

B. If AB is a segment.

C. AB vis a segment.

D. Then, the segment has two endpoints.

Answers

Answer:

its b

Step-by-step explanation:

1. You have two pieces of tape of 56 metres and 56 metres in length. If you connect both pieces together end-to-end, how long is your new piece of tape?​

Answers

Answer:

Step-by-step explanation:

If the two pieces of tape are truly placed end-to-end, there will be no tape at the joint to connect the two pieces.  In the real world, one of the 56 m pieces will have to overlap one end of the other piece to make up a single new piece of tape whose length must be a little less than 2(56 m), or a lilttle less than 112 m.  There is no one specific correct answer because the experimenters vary in how much tape overlap to allow.

The new tape would measure 112m after the two fragments are joined.

What is addition?

Addition is one of the four basic operations of arithmetic, the other three being subtraction, multiplication and division. The addition of two whole numbers results in the total amount or sum of those values combined.

Given:

A piece of tape 56 m long and we are to add another 56 m

Thus the sum of these two tapes is equal to 56+56=112 m

Hence, the new tape is 112m long.

Learn more about addition here:

https://brainly.com/question/29560851

#SPJ2

is h correct? someone help

Answers

Answer:

No The correct Answer is "G"

Step-by-step explanation:

First lets find 300% as a number which is 3 ok so now

increase 10 by 300%

so 100%+300%=400%

and half of 400 which is 200%

so H is no correct g is

Which equation can be used to determine the number of hourse, h hector works given the number of weeks w?

A. h = 20w
B. W=20h
C. H=2102
D.w=210h

help pleasee

Answers

[tex] \: \: \: \: \: [/tex]

A. h = 20w

h=20win one week hector works 20 hoursin two hector works 40 etch = hours and w = weeks. the money is just extra information.h=20w works because if it

hope it helps

[tex] \: \: \: \: \: [/tex]

Which number has a 5 in it that’s 10 times the 5 in 13.725

Answers

Answer:

0.05

Step-by-step explanation:

10*.005

HELP ALSO CHECK OUT MY OTHER QUESTION THERE BOTH 20 POINTS!!!
jonathan needs 3 5/8 yards of blue material and 6 3/4 yards of red material. how many yard does he need in all.
A. 9 2/3
B. 9 3/8
C. 10 2/3
D. 10 3/8

Answers

Answer:

D. 10 3/8

Step-by-step explanation:

First make them into a improper fraction

[tex]\frac{29}{8} +\frac{27}{4}[/tex]

Find the lowest common denominator:

[tex]\frac{29}{8} +\frac{27*2}{4*2}[/tex]

Multiply the denominators:

[tex]\frac{29}{8} +\frac{27*2}{8}[/tex]

Multiply the numerators:

[tex]\frac{29}{8} +\frac{54}{8}[/tex]

Combine the fractions:

[tex]\frac{(29+54)}{8}[/tex]

Combine the numerators:

[tex]\frac{83}{8}[/tex]

=

[tex]10\frac{3}{8}[/tex]

Hence, D. 10 3/8 is the Correct answer.

what is the value of x in the figure shown

Answers

Answer:

x = 66

Step-by-step explanation:

Have a nice day

Which statement is an example of heat transfer by convection? Question 4 options: Jane's feet burned as she walked across the hot beach sand. Hot air from the sand rose and was replaced by cool air blowing in from the ocean as a sea breeze. The black asphalt of the parking lot was much warmer than the green grass surrounding the lot. People were scattered across the beach, sitting on chairs and towels, warming themselves in the bright sunshine.

Answers

Answer:

Step-by-step explanation

 Hot air from the sand rose and was replaced by cool air blowing from the ocean as a sea breeze.

what is the scale factor?

Answers

Use this:

The basic formula to find the scale factor of a figure is: Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape. This can also be used to calculate the dimensions of the new figure or the original figure by simply substituting the values in the same formula.

Answer:

1 2/3 is the scale factor

Step-by-step explanation:

So the scale factor either makes soemthing bigger or smaller

In this case it’s getting bigger

So we have one side already so we jsut find the value that was multiplied

so 9 * ? Is 15

You

d get 1 2/3

Can u please help me with this. I’ll make brainliest

Answers

Answer:

number

Step-by-step explanation:

number than number lol sorry i dont know i wish i could help you

help me please bjsowownxnwkwndndiwijsjs​

Answers

I’m pretty sure you just have to write 7

simpifly (4^7/5^2)^3

Answers

The answer is C, I just had that exact question. Hope this helps!

Write the equation of the line passes through the point (10, 2) and is perpendicular to the line: y=-5x+7

Please show work

Answers

Answer:

Perpendicular line: y = ⅕x + 0 or y = ⅕x

Step-by-step explanation:

Given the point, (10, 2), and the linear equation, y = -5x + 7:

In order to find the equation of the perpendicular line that passes through (10, 2), we must first determine the definition of perpendicular lines.

Definition:

Perpendicular lines have negative reciprocal slopes ⇒ this means that when you take and multiply the slopes of both lines, it results in a product of -1.

In other words, since the slope of the given line, y = -5x + 7 is m = -5, then it means that the slope of the other line must be m₂ = ⅕ because:

                    m₁ × m₂  = -1

                     -5 ×  ⅕  = -1

Solution:

Now that we have the slope of the other line, m₂ = ⅕, and the given point, (10, 2), substitute these values into the slope-intercept form to solve for the y-intercept, b :

y = mx + b

2 = ⅕(10) + b

2 = 2 + b

Subtract 2 from both sides:

2 -2 = 2 -2 + b

0 = b

Hence, the y-intercept is b = 0.

Equation:

The linear equation of the perpendicular line that passes through point (10, 2) is: y = ⅕x + 0 or   y = ⅕x

Y=x+2 slope intercept form


Y+3=-1/4x

Answers

[tex] \: [/tex]

= m = 1 , b = 1

step-by-step explanation

[tex]y = x +2[/tex]

the coefficient is 1

[tex]y = 1x + 1[/tex]

identify the slope,

since the equation is written in slope-intercept form y=mxb, identify the slope of the line as the coefficient next to the variable x

[tex]y = 1x + 1 \: ,m = 1[/tex]

identify the y-intercept

[tex]y = 1x + 1 \: ,m = 1 \: ,b = 1[/tex]

the slope is m=1 and the y-intercept is b=1

so the answer to the equation is

[tex] = m = 1,b = 1[/tex]

hope it helps

[tex] \: [/tex]

#1

[tex]\\ \sf\longmapsto y=x+2[/tex]

Slope intercept form=y=mx+b

On comapring we get

m=1b=2

#2

[tex]\\ \sf\longmapsto y+3=\dfrac{-1}{4}x[/tex]

[tex]\\ \sf\longmapsto y=-\dfrac{1}{4}x-3[/tex]

m=-1/4b=-3

Find values of x and y

Answers

Answer:

x=15

y= 21

Step-by-step explanation:

6x-11+x+5+81=180

6x+x+86-11=180

7x+75=180

-75. -75

7x=105

--- ----

7. 7

x=15

substitute the x value we just got into the following equation to find y

4y-18+y+14+6x-11=180

4y-18+y+14+6(15)-11=180

4y+y+14+79-18=180

5y+75=180

-75 -75

5y=105

---- -----

5. 5

y=21

Find an equation of the line passing through the point (2, 7) with slope m= 6.

Answers

Answer:

y - 7 = 6(x - 2)

Step-by-step explanation:

1. Since we're given one point and the slope of a line, we can use the point slope form: [tex]y-y_1=m(x-x_1)[/tex]

m = slopey_1 = first y-coordinatex_1 = first x-coordinate

2. (Plugging in values)

[tex]y-7=m(x-x_1)[/tex] [tex]y-7=6(x-x_1)[/tex] [tex]y-7=6(x-2)[/tex]

Therefore, one equation of the line is y - 7 = 6(x - 2).

Aby has a cell phone plan that charges $12 a month for the first 50 minutes and 5 cents for every minute after that. If she was charged $15.45 last month, how many minutes did she talk?​

Answers

60

Step-by-step explanation:

valentina wants to grow out her hair. it grows 0.5 inches per month, and it is currently 9 inches long. write an equation that shows the relationship between that shows the relationship between the number of months that valentina grows out her hair, x, and the length of her hair in inches, y

Answers

Answer:

y=0.5x+9

Step-by-step explanation:

15 POINTS, to lazy please help.

Answers

Answer:

(2, - 1 )

Step-by-step explanation:

The solution to the system is at the point of intersection of the 2 lines.

They intersect at (2, - 1 ) ← solution

Answer:

1427832.087y4441x6.7

−7a − 12q + 6a + 13q + 4a − 7a

Answers

Answer:

-4a + q

Step-by-step explanation:

Group the a-values together and the q-values together and simplify:

-7a + 6a + 4a - 7a - 12q + 13 q

= -4a + q

can anyone help. how to solve this plz. 58power4 -388​

Answers

Answer:

The answer is 11,316,108

Step-by-step explanation:

[tex]58^{4} - 388[/tex]

(58)(58)(58)(58) - 388

11,316,496 - 388

= 11,316,108

The points (7,5) and (-5, 8) fall on a particular line. What is its slope​

Answers

Answer:

-3/12

Step-by-step explanation:

To figure out the answer, you have to use the formula: [tex]\frac{Y2-Y1}{X2-X1}[/tex]  to find the slope.

plug in the coordinates: 7,5

-5,8

[tex]\frac{5-8}{7-(-5)}[/tex]= which will equal= [tex]\frac{-3}{12}[/tex]

Have a wonderful week!

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