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sleet_krkn [62]
3 years ago
8

Find the number that is 27 greater than twice the opposite of itself.​

Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:

32

Step-by-step explanation:

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Polly buys 14 cupcakes for a party. The bakery puts them into boxes that hold 4 cupcakes each.
Temka [501]

Answer:

Part a) The number of boxes needed will be 4

part b) The fraction of the box that is empty is \frac{1}{2}

Part c) Are needed 2 cupcakes to fill the last box

Step-by-step explanation:

Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?

To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).

so

\frac{14}{4}=3.5\ box

Round up

The number of boxes needed will be 4

Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?

we know that

The maximum number of cupcakes per box is 4

The first three boxes have 4 cupcakes

The last box has

14-3(4)=2\ cupcakes

The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box

\frac{2}{4}=\frac{1}{2}

Part c) How many more cupcakes are needed to fill this box

Subtract the number of cupcakes in the box from the cupcake capacity of the box

The last box has 2 cupcakes

The cupcake capacity of the box is 4

so

4-2=2\ cupcakes

therefore

Are needed 2 cupcakes to fill the last box

8 0
3 years ago
What is the area of a rectangle with length 6 units and width 3 units?
wlad13 [49]

Answer:

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Step-by-step explanation:

4 0
3 years ago
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Truck A costs $600 more that Truck B. However, it burns 0.06 gallon/mile compared to 0.07 gallon/mile for truck B. Both trucks h
qwelly [4]

Answer:

  1,778

Step-by-step explanation:

Let C and S represent the cost and salvage value of Truck B, respectively. Let X represent the number of miles per year that answers the question.

Truck A's cost for 10 years is ...

  A = C+600 +(0.06)(2.25)(10X) -(S+200)

Truck B's cost for 10 years is ...

  B = C +(0.07)(2.25)(10X) -S

We want to find X such that Truck A's cost is lower, so ...

  C -S +1.35X +400 < C -S +1.575X

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1778 miles driven per year (or more) makes Truck A a better option.

5 0
3 years ago
Petey set up an investment program using an annuity due with payments of $3,000 at the beginning of each quarter. Find the inter
aleksklad [387]

Answer:

c

Step-by-step explanation:

you would do

m = money overall

(m*1.08) +3000= you would do that twelve times

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2 years ago
Solve the system of equations. 2y-y=5 and 3x+2y=4
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Step-by-step explanation:

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