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tankabanditka [31]
3 years ago
15

Solve each equation by finding square roots. If the equation has no real-number solution, write no

Mathematics
1 answer:
Kitty [74]3 years ago
7 0
The correct answer is B
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It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.
KengaRu [80]

Answer:

he can download 3 albums and 6 individual songs.

Step-by-step explanation:

15-4(3)

=15-12

=3-0.50(6)

=3-3

=0

7 0
3 years ago
Read 2 more answers
The circle graph shows how a family spends its annual income. If $26,450 is used for Auto and Entertainment combined, what is th
nika2105 [10]
12%+11%=23% so, $26,450/.23=$115,000.
5 0
3 years ago
How do you simplify <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B2%7D%20%2B%5Csqrt%7B6%7D%20%7D%7B%5Csqrt%7B8%7D%20%2B%
blondinia [14]

The trick is to exploit the difference of squares formula,

a^2-b^2=(a-b)(a+b)

Set a = √8 and b = √6, so that a + b is the expression in the denominator. Multiply by its conjugate a - b:

(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)=(\sqrt8)^2-(\sqrt6)^2=8-6=2

Whatever you do to the denominator, you have to do to the numerator too. So

\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}{(\sqrt8+\sqrt6)(\sqrt8-\sqrt6)}=\dfrac{(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)}2

Expand the numerator:

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{2\cdot8}+\sqrt{6\cdot8}-\sqrt{2\cdot6}-(\sqrt6)^2

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=\sqrt{16}+\sqrt{48}-\sqrt{12}-6

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=4+\sqrt{48}-\sqrt{12}-6

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(\sqrt4-1)

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6)=-2+\sqrt{12}(2-1)

(\sqrt2+\sqrt6)(\sqrt8-\sqrt6}=-2-\sqrt{12}

So we have

\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+\sqrt{12}}2

But √12 = √(3•4) = 2√3, so

\dfrac{\sqrt2+\sqrt6}{\sqrt8+\sqrt6}=-\dfrac{2+2\sqrt3}2=\boxed{-1-\sqrt3}

7 0
3 years ago
A train traveled 1360 miles in 16 hours. What was the average speed of the train in miles per hour?
notsponge [240]

Answer:

85 miles per hour

Step-by-step explanation:

5 0
3 years ago
Kaya found 25 shells on the beach yesterday today she found 25 more shells she sorted all the shells into 5 piles
Gnom [1K]

Answer:

25 + 25=50 Divided by 5 =10

Step-by-step explanation:

25 + 25

=50

50 DIVIDED BY 5

=10

3 0
3 years ago
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