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snow_lady [41]
3 years ago
7

Austin made 5 quarts of his special from-scratch cupcake mix. He was able to make 32 identical cupcakes using 3.5 quarts of his

special mix. Austin would like to bake 20 more identical cupcakes to ice each cupcake in the likeness of a playing-card. Does he have enough left to create 20 additional cupcakes? Explain.
Mathematics
1 answer:
storchak [24]3 years ago
8 0

9514 1404 393

Answer:

  no

Step-by-step explanation:

We can write a proportion to find how much mix is required to make 52 cupcakes.

  quarts/cupcakes = 3.5/32 = x/52

Multiplying by 52, we find ...

  x = 52(3.5/32) = 5.6875 . . . quarts needed for 52 cupcakes

This is more mix than Austin made. He does not have enough left for 20 more cupcakes.

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An electronics store has 30 of one brand of digital camera in stock. The equation m(c) = 100c gives the amount of money made whe
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The answer to this problem is c<span>0<span>m<span>100</span></span></span>
6 0
3 years ago
Vita wants to center a towel bar on her door that is 27 1/2 inches wide. She determines that the distance from each end of the t
timurjin [86]

Answer:

The equation is x+18 =\frac{55}{2}..

The length of the towel bar is \frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in..

Step-by-step explanation:

Given,

Length of the door = 27\frac{1}{2}\ in

we can rewrite 27\frac{1}{2}\ in as  \frac{55}{2}\ in.

We have to find out the length of the towel bar.

Let the length of towel bar be 'x'

`Since Vita wants that the distance from each end of the towel bar to the end of the door to be 9 inches.

So we can say that the length of the towel bar plus  from each end of the towel bar to the end of the door plus  from each end of the towel bar to the end of the door  is equal to length of door.

framing in equation form, we get;

x+9+9= \frac{55}{2}\\\\x+18 =\frac{55}{2}

Hence The equation is x+18 =\frac{55}{2}.

Now we solve the equation we get;

Subtracting both side by 18 we get;

x+18-18=\frac{55}{2}-18\\\\x=\frac{55}{2}-18

Now we will make the denominator common we get;

x=\frac{55}{2} -\frac{18\times2}2= \frac{55}{2} -\frac{36}2 = \frac{55-36}{2}=\frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in

Hence The length of the towel bar is \frac{19}{2}\ in \ \ \ OR \ \ \ 9\frac{1}{2}\ in.

6 0
4 years ago
Simplify: (4b + 3) (2b - 5).
igomit [66]
(4b+3) (2b−5)

(4b+3) (2b+−5)

(4b) (2b) + (4b) (−5) +(3) (2b) +(3) (−5)

8b²−20b+6b−15.

= 8b²−14b−15.

5 0
4 years ago
Points: 0 of T
malfutka [58]

The number of videos will be 3 and the number of CDs will be 2.

<h3>What is an expression?</h3>

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Christine went shopping and bought each of her five nephews a gift, either a video costing $14.95 or a CD costing $16.88. She spent $78.61 on the gifts.

The number of the videos and CD will be calculated by forming an equation:-

14.95x + 16.88y = 78.61

From heat and trial, we put x = 3 and y = 2 then calculate.

14.95 x ( 3 )  + 16.88 x ( 2 ) = 78.61

44.85 + 33.76 = 78.61

78.61 = 78.61

Therefore, the number of videos will be 3 and the number of CDs will be 2.

To know more about an expression follow

brainly.com/question/723406

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3 0
2 years ago
Find: F(2) if F(x)=2x + 1​
Ierofanga [76]

Answer:

F(2)=2x+1=2*2+1=5

Step-by-step explanation:

8 0
3 years ago
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