Answer:
11
Step-by-step explanation:
there are 12 months in a year
we want to equally split the 130 into 12 equal payments
130/12=10.833 or 11
Let:
x= quarters
y= dimes
x+y=67
and
.25x+.10y=12.40
x=67-y
.25(67-y)+.10y=12.40
16.75-.25y+10y=12.40
16.75-.15y=12.40
Lets rearrange this:
-.15y+16.75=12.40
-16.75 -16.75
-.15y=-4.35
the negatives cancel out
.<u>15y</u>=<u>4.35
</u>.15<em /><em> <u /></em>.15
y=29
Back to the original x=67-y
x=67-29
x=38
So,
x=38
y=29
<em />
Answer:
146 square meters
Step-by-step explanation:
We can split the figure into a 6 by 15 rectangle and a parallelogram (8 base, 7 height).
- The area of the rectangle is 6•15=90
- The area of the parallelogram is 8•7=56
- 90+56=146
Answer:
0.012987...(6-digit repeat)
Step-by-step explanation:
You explain it the same way you explain any division of decimal numbers.
The usual procedure is to adjust both numbers so that the divisor is an integer. Here, that is accomplished by multiplying each number by 100. This makes the problem ...
1.82/140.14 = 182/14014
Now, division proceeds in the usual way. The first non-zero quotient digit will appear in the hundredths place. The quotient is a repeating decimal with a 6-digit repeat. You recognize the repeat as soon as you see 182 as a remainder.
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<em>Additional comment</em>
The ratio reduces to ...

Answer:
a) x= 75
b) 105 is the same angle as angle B, I subtracted 180 by 105
180-105= 75