Answer:
y = - ![\frac{24}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B24%7D%7B7%7D)
Step-by-step explanation:
Substitute x = - 3 into the expression
2x - 7y = 30
2(- 3) - 7y = 30
- 6 - 7y = 30 ( add 6 to both sides )
- 7y = 36 ( divide both sides by - 7 )
y =
= - ![\frac{36}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B7%7D)
Answer:
1.203 x 10^-4
Step-by-step explanation:
Answer:
The original price of the game was $54.
Answer:
It will take
weeks to complete the repair of the stretch of road.
Step-by-step explanation:
Given:
Length of the roads that need repairs = ![16\frac{1}{2}\ km](https://tex.z-dn.net/?f=16%5Cfrac%7B1%7D%7B2%7D%5C%20km)
Length of the road workers can repair in a week = ![2\frac{1}{4}\ km](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B4%7D%5C%20km)
To find the number of weeks will it take to repair this stretch of road.
Solution:
Unit rate of workers to repair roads =
per week.
Total length of the roads to repair = ![16\frac{1}{2}\ km](https://tex.z-dn.net/?f=16%5Cfrac%7B1%7D%7B2%7D%5C%20km)
The number of weeks it will take to repair
of road by workers can be given as:
⇒ ![\frac{16\frac{1}{2}\ km}{2\frac{1}{4}\ km}](https://tex.z-dn.net/?f=%5Cfrac%7B16%5Cfrac%7B1%7D%7B2%7D%5C%20km%7D%7B2%5Cfrac%7B1%7D%7B4%7D%5C%20km%7D)
<em>In order to divide mixed numbers, we convert them first to fractions.</em>
⇒ ![\frac{\frac{33}{2}} {\frac{9}{4}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B33%7D%7B2%7D%7D%20%7B%5Cfrac%7B9%7D%7B4%7D%7D)
<em>To divide fractions, we take reciprocal of the divisor and replace division with multiplication:</em>
⇒ ![\frac{33}{2}\times \frac{4}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B33%7D%7B2%7D%5Ctimes%20%5Cfrac%7B4%7D%7B9%7D)
⇒ ![\frac{22}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B22%7D%7B3%7D)
We reconvert the fraction to mixed number.
⇒
weeks
Thus, it will take
weeks to complete the repair of the stretch of road.
Answer:
D
Step-by-step explanation:
Using the rule of exponents
×
⇔
, then
3² × 3³
= ![3^{(2+3)}](https://tex.z-dn.net/?f=3%5E%7B%282%2B3%29%7D)
= ![3^{5}](https://tex.z-dn.net/?f=3%5E%7B5%7D)
= 3 × 3 × 3 × 3 × 3
= 9 × 9 × 3
= 81 × 3
= 243 → D