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vfiekz [6]
2 years ago
6

A radio is on sale for $76.50 at a 15% discount. What was the original selling price?

Mathematics
1 answer:
Colt1911 [192]2 years ago
4 0

Answer:

87.975

Step-by-step explanation:

76.5 x 15% = 11.475

76.5 + 11.475 = 87.975

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Calculate the volume of water in the cup when it is full
maxonik [38]

To find:

The volume of the water in the cup when it is full.

Solution:

The volume of the water is equal to the difference of the volume of the small cone and the larger cone.

Here, the ratio of the radius of both cones is equal to the ratio of their heights. SO,

\begin{gathered} \frac{r}{2.7}=\frac{20}{20-8} \\ \frac{r}{2.7}=\frac{20}{12} \\ \frac{r}{2.7}=\frac{5}{3} \\ r=4.5 \end{gathered}

The radius of the larger cone is 4.5 cm.

So, the volume of the water is:

\begin{gathered} V=\frac{1}{3}\pi R^2H-\frac{1}{3}\pi r^2h \\ =\frac{1}{3}\pi(R^2H-r^2h) \\ =\frac{1}{3}\pi((4.5)^2(20)-(2.7)^2(12)) \\ =\frac{1}{3}\cdot\frac{22}{7}(405-87.48) \\ =\frac{22}{21}(317.52) \\ =332.64cm^2 \end{gathered}

The volume of water when the cup is full is 332.64 cm^2.

7 0
1 year ago
3/4x-6=x/8+4 <br> How do you solve this please show step by step
jeka94

Answer: x=16

Step-by-step explanation:

1. 3/4x = x/8+10

2. 3/4(2)= 6/8

3. 6/8x= 1/8x+10

4. 5/8x=10 ÷ 5/8 both sides

5. 5/8= .625 so 10÷ .625= 16

6. x=16

5 0
4 years ago
A circle has a diameter of 20 mm what is it’s circumference? Use 3.14 for pi and do not round your answer
Dvinal [7]

Answer:

94.2

Step-by-step explanation:

circumference is d(pi)

20(3.14) = 94.2

8 0
3 years ago
Read 2 more answers
Evaluate 6^-2<br><br> a) -1/36<br> b)4<br> c) 1/36<br> d)-12
inessss [21]

{6}^{ - 2}  \\  \frac{1}{ {6}^{2} }  \\  \frac{1}{36}

The answer is C

4 0
2 years ago
Read 2 more answers
James is running on a trail that is 5/4 of a mile long. So far he has run 2/3 of the trail. How many miles has he run so far?
aalyn [17]
Step 1) You would need to convert your 2 fractions into equivalent numbers. In this case, the closet gcf (greatest common factor) is 12. So, 5/4 would convert to 15/12 and  2/3 converts to 8/12.

Step 2) You know have your decimals that are equivalent. All you have left now is to subtract. Take 15/12 and subtract 8/12 from it. You would now get 7/12 of a mile that is still needed to run. 

Step 3) Usually, you would simplify your new fraction. In this case, our fraction doesn't simplify. It will stay 7/12 of a mile. For example, If our number had ended up being 4/12, then we would simplify it to 1/3 of a mile. Because, 4 divided by 4 is 1 and 12 divided by 4 is 3. You can't simplify your answer anymore.

Hope this helped!
3 0
3 years ago
Read 2 more answers
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