Step-by-step explanation:
![{m}^{3} = {cm}^{3} = \div {10}^{6}](https://tex.z-dn.net/?f=%20%7Bm%7D%5E%7B3%7D%20%20%3D%20%20%7Bcm%7D%5E%7B3%7D%20%20%3D%20%20%5Cdiv%20%7B10%7D%5E%7B6%7D%20%20)
0.2m^3 = 0.0000002 cm^3
Jackson used 8/9 of a case of soda to fill 1/3 of the soda machine.
how many cases does it take to fill the soda machine = ?
1/3 means three parts of the soda machine, it means if we fill with 8/9 of a case three times soda machine will be full so,
8/9 + 8/9 + 8/9 = 24/9
it means it takes the case of soda between 2 and 3.
2.667 approx. cases of soda it take to fill the soda machine.
<u>Part 1)</u> Use the fact that there are 12 inches in a foot
a) How many inches tall is a 7 foot basketball player?
we know that
1 foot=12 inches
so by proportion
![\frac{12}{1} \frac{inches}{foot} =\frac{x}{7} \frac{inches}{feet} \\ \\x=12*7\\ \\x=84\ inches](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B1%7D%20%5Cfrac%7Binches%7D%7Bfoot%7D%20%3D%5Cfrac%7Bx%7D%7B7%7D%20%5Cfrac%7Binches%7D%7Bfeet%7D%20%5C%5C%20%5C%5Cx%3D12%2A7%5C%5C%20%5C%5Cx%3D84%5C%20inches)
therefore
<u>the answer Part 1a) is</u>
![84\ inches](https://tex.z-dn.net/?f=84%5C%20inches)
Part b) If a yard is a 3 feet long, how many inches are in a yard?
we know that
1 yard=3 feet
1 foot=12 inches
so
Convert 3 feet to inches
by proportion
therefore
<u>the answer Part 1b) is</u>
![36\ inches](https://tex.z-dn.net/?f=36%5C%20inches)
<u>Part 2) </u>At the farmer's market two pounds of peaches cost $4.20 How much will five pounds cost?
by proportion
therefore
<u>the answer Part 2) is</u>
![\$10.5](https://tex.z-dn.net/?f=%5C%2410.5)
<u>Part 3) </u>Janice mother gave her a ten dollars bill to buy five pounds each of bananas and apples at the grocery store. When she got there she found that bananas were 80 c per pound and apples were $1.40 per pound.
Did Janice's mother give her enough money? If so, should she receive any change? If not, how much more money does she need?
we know that
<u>Find the cost of the bananas</u>
![5\ pounds*0.80\frac{\$}{pounds}=\$4](https://tex.z-dn.net/?f=5%5C%20pounds%2A0.80%5Cfrac%7B%5C%24%7D%7Bpounds%7D%3D%5C%244)
<u>Find the cost of the apples</u>
![5\ pounds*1.40\frac{\$}{pounds}=\$7](https://tex.z-dn.net/?f=5%5C%20pounds%2A1.40%5Cfrac%7B%5C%24%7D%7Bpounds%7D%3D%5C%247)
Sum the cost of the bananas and the cost of the apples
![\$4+\$7=\$11](https://tex.z-dn.net/?f=%5C%244%2B%5C%247%3D%5C%2411)
------> Janice's mother didn't give her enough money
She needs more money
She needs-------> ![\$11-\$10=\$1](https://tex.z-dn.net/?f=%5C%2411-%5C%2410%3D%5C%241)
therefore
<u>the answer part 3) is</u>
She needs
more
Answer:
Ordered pair, (1, 5/2) does not satisfy the given equation 3x-3y=-3
Step-by-step explanation:
![3x-3y=-3](https://tex.z-dn.net/?f=3x-3y%3D-3)
Here ![(x, y) = (1, \frac{5}{2} )](https://tex.z-dn.net/?f=%28x%2C%20y%29%20%3D%20%281%2C%20%5Cfrac%7B5%7D%7B2%7D%20%29)
![3(1)-3(\frac{5}{2} )=-3](https://tex.z-dn.net/?f=3%281%29-3%28%5Cfrac%7B5%7D%7B2%7D%20%29%3D-3)
![3- (\frac{15}{2} )=-3\\6-15=-6\\-9\neq -6](https://tex.z-dn.net/?f=3-%20%28%5Cfrac%7B15%7D%7B2%7D%20%29%3D-3%5C%5C6-15%3D-6%5C%5C-9%5Cneq%20-6)
Answer:
38
Step-by-step explanation:
j/-2=-19
j=38