Answer:
10 7/12 hours
Step-by-step explanation:
so we have to multiply 2 2/3 twice since he does that many hours for 2 days. We then have to multiply 1 3/4 three times since he does that many hours for 3 days. Lets first convert 2 2/3 into a mixed fraction. 2 2/3 = 3 times 2 =6 +2=8 over 3. 1 3/4=4 times 1=4+3=7 over 4. 8/3 times 2 equals 16/3 which eqials
5 1/3 hours. 7/4 times 3 equals to 21/4 which equals to 5 1/4. Lets now add
5 1/3 and 5 1/4. 5+5=10 but the fractions are not the same. Therefore, we need to make it to a common denominator. 4 times 3 equals to 12 so 4/12 plus 3/12 equals 7/12. Final answer equals to 10 7/12.
Answer:
a) 16.25 centimeters
b) 6.8 centimeters
Step-by-step explanation:
We can set up a proportion for both of these problems.
a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:
6.5/x
x represents the length you're trying to find.
Since the triangles are similar, we have an equation:
7.2/18=6.5/x
Cross multiply
16.25
XZ is 16.25 centimeters long.
b)
We can do same thing:
7.2/18=x/17
Cross multiply
6.8
QR is 6.8 centimeters long.
Hope this helps!
Answer: 199.8
Step-by-step explanation:
She worked 2 1/2 hrs yesterday and 4 1/4 hrs today...
2 1/2 + 4 1/4 =
2 + 4 = 6
1/2 + 1/4 = 2/4 + 1/4 = 3/4
so she worked a total of 6 3/4 hrs....or 6.75 hrs
she is paid $ 54
54 / 6.75 = $ 8 per hr <=== what she earned per hr
(25 - 10.81) - 1.38p = 10
p = package of peanuts
25 - 10.81 = 14.19
14.19 - 1.38p = 10
Subtract 14.19 from each side
10 - 14.19 = -4.19
-1.38p = -4.19
Divide both sides by -1.38
p = 3 (roughly, but because you can only buy the whole package, this is the amount you can buy)
He can buy a maximum of 3 packages of peanuts.
