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tia_tia [17]
3 years ago
12

During a sale, CDs that normally cost $6.98 each were priced at 2 for $12.50. Pete bought 4 CDs at the sale price. How much mone

y did he save by buying the 4 CDs on sale?
Mathematics
1 answer:
RSB [31]3 years ago
4 0

Answer:

2.92

Step-by-step explanation:

Normal price

4 * 6.98 =27.92

Sale price

2 for 12.50   means 4 at 2* 12.50

2*12.50 = 25

Subtract

27.92-25=2.92

He saved 2.92

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Evaluate b²c¹ for b=8 c=-4
AVprozaik [17]

Answer:

The answer is -256.

Step-by-step explanation:

You have to substitute the value of b and c into the expression :

{b}^{2}  {c}^{1}

Let b = 8,

Let c = -4,

{8}^{2}  \times  { - 4}^{1}

= 64 \times  - 4

=  - 256

8 0
3 years ago
Can someone explain how to solve this I'm really confused <br><br> 1/2 to the power of 3
OleMash [197]

Answer:

1/8

Step-by-step explanation:

1/2 cubed is just 1/2*1/2*1/2 which is 1/8

5 0
2 years ago
Read 2 more answers
A seamstress is paid $9.55 for every pair of pants made. how many pants would have to be made to receive $525.00 a week?
Svetlanka [38]
Let the number of pants have to be made be x.

So,

9.55 * x = 525.00

x = \frac{525}{9.55} ≈ 54.97 

Thus, the number of pants have to be made are 54.
8 0
3 years ago
If a,b,c and d are positive real numbers such that logab=8/9, logbc=-3/4, logcd=2, find the value of logd(abc)
Eva8 [605]

We can expand the logarithm of a product as a sum of logarithms:

\log_dabc=\log_da+\log_db+\log_dc

Then using the change of base formula, we can derive the relationship

\log_xy=\dfrac{\ln y}{\ln x}=\dfrac1{\frac{\ln x}{\ln y}}=\dfrac1{\log_yx}

This immediately tells us that

\log_dc=\dfrac1{\log_cd}=\dfrac12

Notice that none of a,b,c,d can be equal to 1. This is because

\log_1x=y\implies1^{\log_1x}=1^y\implies x=1

for any choice of y. This means we can safely do the following without worrying about division by 0.

\log_db=\dfrac{\ln b}{\ln d}=\dfrac{\frac{\ln b}{\ln c}}{\frac{\ln d}{\ln c}}=\dfrac{\log_cb}{\log_cd}=\dfrac1{\log_bc\log_cd}

so that

\log_db=\dfrac1{-\frac34\cdot2}=-\dfrac23

Similarly,

\log_da=\dfrac{\ln a}{\ln d}=\dfrac{\frac{\ln a}{\ln b}}{\frac{\ln d}{\ln b}}=\dfrac{\log_ba}{\log_bd}=\dfrac{\log_db}{\log_ab}

so that

\log_da=\dfrac{-\frac23}{\frac89}=-\dfrac34

So we end up with

\log_dabc=-\dfrac34-\dfrac23+\dfrac12=-\dfrac{11}{12}

###

Another way to do this:

\log_ab=\dfrac89\implies a^{8/9}=b\implies a=b^{9/8}

\log_bc=-\dfrac34\implies b^{-3/4}=c\implies b=c^{-4/3}

\log_cd=2\implies c^2=d\implies\log_dc^2=1\implies\log_dc=\dfrac12

Then

abc=(c^{-4/3})^{9/8}c^{-4/3}c=c^{-11/6}

So we have

\log_dabc=\log_dc^{-11/6}=-\dfrac{11}6\log_dc=-\dfrac{11}6\cdot\dfrac12=-\dfrac{11}{12}

4 0
2 years ago
14. Please help. What is the length of PQ⎯⎯⎯⎯⎯⎯⎯⎯?<br> Enter the correct value.
Pepsi [2]

Answer:

The correct value is 5.

5 0
3 years ago
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