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bazaltina [42]
3 years ago
9

What is the solution to the equation 15+x = –7? a. –8 b. 22 c. 8 d. –22

Mathematics
2 answers:
Alecsey [184]3 years ago
5 0
15 + x = -7

First, subtract 15 from both sides. / Your problem should look like: x = -7 - 15
Second, subtract -7 - 15 to get -22. / Your problem should look like: x = -22

Answer: x = -22 (D)


andrey2020 [161]3 years ago
3 0
15+x=-7
x=-7-15
x=-22
Answer:-22
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Two certificates of deposit pay interest that differ by 3%. Money invested for one year in the first CD earns $240 interest. The
Soloha48 [4]

a = interest rate of first CD

b = interest rate of second CD

and again, let's say the principal invested in each is $X.

\bf a-b=3\qquad \implies \qquad \boxed{b}=3+a~\hfill \begin{cases} \left( \frac{a}{100} \right)X=240\\\\ \left( \frac{b}{100} \right)X=360 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{a}{100} \right)X=240\implies X=\cfrac{240}{~~\frac{a}{100}~~}\implies X=\cfrac{24000}{a} \\\\\\ \left( \cfrac{b}{100} \right)X=360\implies X=\cfrac{360}{~~\frac{b}{100}~~}\implies X=\cfrac{36000}{b} \\\\[-0.35em] ~\dotfill\\\\

\bf X=X\qquad thus\qquad \implies \cfrac{24000}{a}=\cfrac{36000}{b}\implies \cfrac{24000}{a}=\cfrac{36000}{\boxed{3+a}} \\\\\\ (3+a)24000=36000a\implies \cfrac{3+a}{a}=\cfrac{36000}{24000}\implies \cfrac{3-a}{a}=\cfrac{3}{2} \\\\\\ 6-2a=3a\implies 6=5a\implies \cfrac{6}{5}=a\implies 1\frac{1}{5}=a\implies \blacktriangleright 1.2 = x\blacktriangleleft

\bf \stackrel{\textit{since we know that}}{b=3+a}\implies b=3+\cfrac{6}{5}\implies b=\cfrac{21}{5}\implies b=4\frac{1}{5}\implies \blacktriangleright b=4.2 \blacktriangleleft

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3 years ago
Connor wants to attend the town carnival. The price of admission to the
Vesna [10]

Answer:

14 rides

Step-by-step explanation:

16 = 0.79x + 4.5

11.5 = 0.79x

x = 14.55 or 14

rounding down because it can't go over $16.

0.79(14) + 4.5 = $15.56

7 0
3 years ago
1. is the expression <img src="https://tex.z-dn.net/?f=8x8%5E5" id="TexFormula1" title="8x8^5" alt="8x8^5" align="absmiddle" cla
Lady_Fox [76]

Answer:

No

Step-by-step explanation:

No, because 8x8^58x85 only takes the 8 that it is up against to the fifth power, but (8x8)^5(8x8)5 takes the whole expression to the fifth power.

4 0
2 years ago
Read 2 more answers
You bought a magazine for 4$ and 4 books you spent a total of 30$ how much did each book cost
pogonyaev

Answer:

6.5

Step-by-step explanation:30-4=26

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3 0
3 years ago
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Identify the equivalent expression for each of the expressions below. Root(5, (m + 2) ^ 3). Root(3, (m + 2) ^ 5). Root(5, m ^ 3)
vesna_86 [32]

Answer:

1. (\sqrt[5]{(m+2)})^{3} =  (m+2)^{\frac{3}{5}}

2. (\sqrt[3]{(m+2)})^{5} =  (m+2)^{\frac{5}{3}}

3. \sqrt[5]{(m)}^{3}+2 =  m^{\frac{3}{5}}+2

4. \sqrt[3]{(m)}^{5}+2 =  m^{\frac{5}{3}}+2

Step-by-step explanation:

Recall that

(\sqrt[n]{x})^{m} =  (x^{\frac{m}{n}})

Where x^{m} is called radicand and n is called index

1. Root(5, (m + 2) ^ 3)

In this case,

n is 5

m is 3

x = (m + 2)

(\sqrt[5]{(m+2)})^{3} =  (m+2)^{\frac{3}{5}}

2. Root(3, (m + 2) ^ 5)

In this case,

n is 3

m is 5

x = (m + 2)

(\sqrt[3]{(m+2)})^{5} =  (m+2)^{\frac{5}{3}}

3. Root(5, m ^ 3) + 2

In this case,

n is 5

m is 3

x = m

\sqrt[5]{(m)}^{3}+2 =  m^{\frac{3}{5}}+2

4. Root(3, m ^ 5) + 2

In this case,

n is 3

m is 5

x = m

\sqrt[3]{(m)}^{5}+2 =  m^{\frac{5}{3}}+2

6 0
3 years ago
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