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Sauron [17]
4 years ago
5

Two consecutive odd integers have a sum of 32. Find the integers.

Mathematics
1 answer:
bezimeni [28]4 years ago
6 0
Let
x = first consecutive odd
x + 2 = second consecutive odd

Based on the problem, we equate
x + (x + 2) = 32
Solving for x,
2x + 2 = 32
2x = 32 - 2
2x = 30
x = 30/2
x = 15
and x + 2 = 15 + 2 = 17

Therefore, the integers are 15 and 17.
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Two angles are complementary. If the measure of one angle is twice the measure of the other angle, what is the measure of the la
Alenkinab [10]
Two angles are complementary: x + y = 90 (complementary = 90 degrees)
x = 2y

plug in 2y for x

2y + y = 90
3y = 90
3y/3 = 90/3
y = 30

plug in 30 for y
x = 2y
x = 2(30)
x = 60

x (the largest angle) = 60°


hope this helps
8 0
3 years ago
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mel-nik [20]
Recall your d = rt, distance = rate * time.

now, let's say she lives "d" miles away, and so if Billy goes say at "r" mph fast to her house, he gets there in 1hr.

now, if he goes 20 mph slower, namely " r - 20 " mph, he gets there in 2 hours, same "d" miles.

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
\textit{Billy}&d&r&1\\
\textit{slower Billy}&d&r-20&2
\end{array}
\\\\\\
\begin{cases}
d=r(1)\implies d=\boxed{r}\\
d=2(r-20)\\
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d=2\left( \boxed{d}-20 \right)
\end{cases}
\\\\\\
d=2d-40\implies 40=d
5 0
4 years ago
What is -0.75 - (-2/3) +0.4 + (-3/4) =
liberstina [14]

Answer:

-0.43

Step-by-step explanation:

6 0
3 years ago
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Zolol [24]

Step-by-step explanation:

2(x+4) = 12

or, 2x + 8 = 12

or, 2x = 12-8

or, 2x = 4

or, x = 4÷2

hence, x = 2

4 0
1 year ago
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