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const2013 [10]
4 years ago
8

John has

Mathematics
1 answer:
BabaBlast [244]4 years ago
5 0

Answer:Thus, the number of dimes is  

7

and the number of nickels is 7 + 6 = 13

0.10

x

+

0.05

(

x

+

6

)

=

1.35

0.10

x

+

0.05

x

=

1.35

−

0.30

0.15

x

=

1.05

x

=

1.05

0.15

=

7

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Lucas invested money in two accounts: one paying 3% interest and the other paying 5% interest. He invested $100 more in the 5% a
Anni [7]
He invested "a" at 3% and "b" at 5%

now, he invested 100 more in "b", so, whatever "a" may be, b = a + 100

now, how much is the interest yield of each? well
how much is 3% of a? well, (3/100) * a, or 0.03a
and 5% of b? well (5/100) * b, or 0.05b

now, we know the total yield was 53 bucks, thus 0.03a + 0.05b = 53

thus    \bf \begin{cases}
\boxed{b}=a+100\\
0.03a+0.05b=53\\
----------\\
0.03a+0.05\left( \boxed{a+100} \right)=53
\end{cases}

solve for "a", to see how much was invested at 3%

what about "b"?  well, b = a + 100
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3 years ago
#10 There are 16 girls in
mihalych1998 [28]

Answer:

45.71% I think I'm not sure

Step-by-step explanation:

this equation was tough I dont have an explanation

7 0
3 years ago
Simplify 9 - {x - (7 + x)}.
r-ruslan [8.4K]
Let's simplify step-by-step.

<span><span>9−x</span>−<span>(<span>7+x</span>)

</span></span>Distribute the Negative Sign:

<span>=<span><span>9−x</span>+<span><span>−1</span><span>(<span>7+x</span>)

</span></span></span></span><span>=<span><span><span><span>9+</span>−x</span>+<span><span>(<span>−1</span>)</span><span>(7)</span></span></span>+<span><span>−1</span>x

</span></span></span><span>=<span><span><span><span><span><span>9+</span>−x</span>+</span>−7</span>+</span>−x

</span></span>Combine Like Terms:

<span>=<span><span><span>9+<span>−x</span></span>+<span>−7</span></span>+<span>−x

</span></span></span><span>=<span><span>(<span><span>−x</span>+<span>−x</span></span>)</span>+<span>(<span>9+<span>−7</span></span>)

</span></span></span><span>=<span><span>−<span>2x</span></span>+2

</span></span>Answer:

<span>=<span><span>−<span>2x</span></span>+<span>2</span></span></span>
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3 years ago
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A. True (plug in 0 for x to confirm y=-1)
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