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AURORKA [14]
3 years ago
15

25 The library has an empty bookcase with 4 shelves. Each shelf can hold 23 chapter þooks. If the library has 117 new chapter bo

oks, how many will not fit on the bookcase?.
Mathematics
2 answers:
bixtya [17]3 years ago
7 0

Answer:

25 chapter books

Step-by-step explanation:

117 - (23×4)

[23×4=92]

.°. 117 - 92 = 25

Annette [7]3 years ago
6 0

Step-by-step explanation:

Total Shelf Capacity = Capacity per shelf x Number of Shelves

= 23 x 4

= 92

Number of new books to be fit in = 117

Amount of books Overflow = Number of books to be fit in - Total Shelf Capacity

= 117 - 92

= 25

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If the marginal propensity to consume is 0.9, what is the maximum amount that the equilibrium gross domestic product could chang
Katen [24]

Answer: There is change of $0.9 billion in government expenditures.

Step-by-step explanation:

Since we know that

Marginal propensity to consume tells that the rate at which there is change in consumption due to change in income.

According to our situation, MPC is the change in amount of gross domestic product due to change in government expenditure.

So, it becomes,

MPC=\dfrac{\text{Change in gross domestic product}}{\text{Change in government expenditure}}\\\\0.9=\dfrac{x}{1}\\\\x=0.9

Hence, there is change of $0.9 billion in government expenditures.

7 0
3 years ago
What is the slope of this graph?
Sever21 [200]

Answer:

-3/4

Step-by-step explanation:

First, pick two coordinates.

(0,2) and (4,-1)

Then do the rise over run or y/x.

The y is 3 and the x is 4. That is 3/4.

Since the line is going down, it will be negative.

The answer is -3/4.

6 0
3 years ago
How many times can 16 go into 50
ExtremeBDS [4]
Three times. The remainder would be 2.
5 0
3 years ago
Read 2 more answers
A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri
GuDViN [60]

Answer:

1.\frac{dy}{dt}=ky

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

\frac{dy}{dt}=Number of bacteria per unit time

\frac{dy}{dt}\proportional y

\frac{dy}{dt}=ky

Where k=Proportionality constant

2.\frac{dy}{y}=kdt,y'(0)=100

Integrating on both sides then, we get

lny=kt+C

We have y(0)=200

Substitute the values then , we get

ln 200=k(0)+C

C=ln 200

Substitute the value of C then we get

ln y=kt+ln 200

ln y-ln200=kt

ln\frac{y}{200}=kt

\frac{y}{200}=e^{kt}

y=200e^{kt}

Differentiate w.r.t

y'=200ke^{kt}

Substitute the given condition then, we get

100=200ke^{0}=200 \;because \;e^0=1

k=\frac{100}{200}=\frac{1}{2}

y=200e^{\frac{t}{2}}

Substitute t=2

Then, we get y=200e^{\frac{2}{2}}=200e

y=200(2.718)=543.6=543.6

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0
3 years ago
Which fraction is the smallest 1/2 1/3 5/8 6/14
jek_recluse [69]
The answer is 6/14 , this should be correct because it has 14 sections which makes it smaller than the rest!
6 0
3 years ago
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