Answer:
x = -3
y = 4
Step-by-step explanation:
first i plug y=x+7 for y on 2x=y-10
this makes it 2x=x+7-10
then i solve 7-10 to get 2x=x-3
i subtract -x from both sides to get x=-3
so i plug in x=-3 to x+7=y to get -3+7=y which makes y=4
Answer:
![V=22\ \text{inches}^3](https://tex.z-dn.net/?f=V%3D22%5C%20%5Ctext%7Binches%7D%5E3)
Step-by-step explanation:
Given that,
Height of a triangular pyramid = 6 inches
The area of the base of the speaker is 11 square inches
We need to find the volume of the speaker.
The formula for the volume of triangular pyramid is given by :
![V=\dfrac{1}{3}Ah](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7DAh)
A is area of base and h is height
![V=\dfrac{1}{3}\times 11\times 6\\\\=22\ \text{inches}^3](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Ctimes%2011%5Ctimes%206%5C%5C%5C%5C%3D22%5C%20%5Ctext%7Binches%7D%5E3)
So, the volume of the speaker is
.
Answer:
![\frac{4}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B1%7D)
Step-by-step explanation:
<u>Given:</u>
2/20 : 1/40
A). First re-write the ratio as follows;
(i) Change the ratio sign to division (÷). i.e
2/20 ÷ 1/40
(ii) Solve the expression by changing the division to multiplication(×). This also means you will need to swap the numerator and the denominator of the second term. i.e (1 / 40) becomes (40 / 1)
(2/20) × (40 / 1) =
×
= ![\frac{4}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B1%7D)
B). Now convert the result from above to unit rate. A unit rate is a rate in which the denominator has a value of 1.
So to convert
to unit rate, we keep simplifying until the denominator becomes 1.
And since the denominator is already 1, there is no need for further simplification.
Therefore, 2/20 : 1/40 to unit rate is ![\frac{4}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B1%7D)
Answer:
4y/5+2x/5-12/5
Step-by-step explanation:
Answer: I'm sorry
Step-by-step explanation: I don't have the answer...