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san4es73 [151]
2 years ago
9

What is the solution to the equation 1 over 21 multiplied by x is equal to 1 over 7?

Mathematics
1 answer:
Ulleksa [173]2 years ago
6 0
It would be X=3 because 3 multiplied by 1 equals 3 and you get 3 over 21. that simplifies to 1 over 7.
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Sophie earns $12.80 per hour babysitting. She has to repay a loan to her parents in the
Lyrx [107]

Answer:

Sophie has to work 18 hours to buy the sneakers.

Step-by-step explanation:

Since Sophie earns $ 12.80 per hour babysitting, and she has to repay a loan to her parents in the amount of $ 100, and after repaying the loan, she wants to have at least enough money to buy herself a pair of sneakers costing $ 130.40, for write an inequality modeling the number of hours, X, Sophie needs to work to have enough money to buy the sneakers, the following mathematical reasoning must be carried out:

12.80X = 100 + 130.40

12.80X = 230.4

X = 230.4 / 12.8

X = 18

So Sophie has to work 18 hours to buy the sneakers.

6 0
3 years ago
PLEASE HELP!
Kaylis [27]
Let's go ahead and find the volume of a prism, then double the dimensions and see what happens to the volume. Then we can apply it to your volume.

volume of a prism with dimensions 2x2x2
v= 2x2x2 = 8 units^3

Now let's double it

volume of prism with dimensions 4x4x4
v= 4x4x4 = 64 units^3

So we see that by doubling the dimensions we multiply the volume by a factor of 8.  Let's do that for your volume, 3.5 m^3

3.5 x 8 = 28 m^3
3 0
3 years ago
What is a coupon on a bond similar to?
VladimirAG [237]
A coupon is a paper with a discount.
5 0
3 years ago
Find the volume of the solid bounded by z = 2 - x2 - y2 and z = 1. Express your answer as a decimal rounded to the hundredths pl
butalik [34]

Answer:

The answer is "(\frac{\pi}{2})".

Step-by-step explanation:

z = 2 - x^2 - y^2.........(1) \\\\z = 1.............(2)  

Let add equation 1 and 2:

Using formula: x^2+y^2=1 \\\\

convert to polar coordinates

r=2

\theta \varepsilon (0=\pi)=z\\\\V=\int^{2\pi}_{\theta=0}\int^{1}_{\pi=0}\int^{z_{2}}_{z_1} r \ dr \d \theta\\\\

    =\int^{2\pi}_{0}\int^{1}_{0}  (Z_2-z_1)r  \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} 1- (-1-x^2-y^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (+1 \pm r^2) r \ dr \d \theta\\\\=\int^{2\pi}_{0}\int^{1}_{0} (-r^3 + r)  \ dr \d \theta\\\\=\int^{2\pi}_{0} (-\frac{r^4}{4}+\frac{r^2}{1})^{1}_{0}  \d \theta\\\\=\int^{2\pi}_{0} (\frac{1}{4})  \d \theta\\\\=(\frac{2 \pi}{4}) \\\\=(\frac{\pi}{2}) \\\\

8 0
2 years ago
Which phrase best describes the translation from the graph y = 6x² to the graph of y = 6(x + 1)²?
just olya [345]
1 unit to the left
Check the table I attached

4 0
1 year ago
Read 2 more answers
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