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Goshia [24]
3 years ago
14

Mrs.Johnson just purchased a total of 12 books and magazines for her office. The total bill was $112. She spent $18 on magazines

, and the books cost $12 each. How many books did she buy?
Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0
She bought 154 books
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What is the equation of the line
konstantin123 [22]
Hello there!


The answer is B. \frac{2}{7}
-----------------------------------------------------------------------------------------------------

Explanation and Work:



We first must identify if the line goes through the origin or not. 

The origin is (0, 0) 

The line does go through the origin. This means that there is no y-intercept

The specific equation we would you use would be:

y = kx

K is the constant

We find this by finding the slope.

Slope is found by:

\frac{y2 - y1}{x2 - x1} 

y2 = 2

y1 = 0

x2 = 7

x1 = 0

Now, let's plug in these numbers.

\frac{2-0}{7-0} =  \frac{2}{7}

So, now let's plug he slope into our formula.

y = \frac{2}{7} x

So, our answer would be B.


I hope I helped!

Let me know if you need anything else!

~ Zoe


8 0
3 years ago
(2^8 x 3^−5 x 6^0)−2 x 3 to the power of negative 2 over 2 to the power of 3, whole to the power of 4 x 2^28
Veronika [31]

(2^8\cdot3^{-5}\cdot6^0)^{-2}\cdot\left(\dfrac{3^{-2}}{2^3}\right)^4\cdot2^{28}\\\\=(2^8)^{-2}\cdot(3^{-5})^{-2}\cdot1^{-2}\cdot\dfrac{(3^{-2})^4}{(2^3)^4}\cdot2^{28}\\\\=2^{-16}\cdot3^{10}\cdot\dfrac{3^{-8}}{2^{12}}\cdot2^{28}\\\\=2^{-16}\cdot2^{28}\cdot2^{-12}\cdot3^{10}\cdot3^{-8}\\\\=2^{-16+28+(-12)}\cdot3^{10+(-8)}\\\\=2^0\cdot3^2=1\cdot9=\boxed{9}\\\\Used:\\\\(a\cdot b)^n=a^n\cdot b^n\\\\(a^n)^m=a^{n\cdot m}\\\\a^n\cdot a^m=a^{n+m}\\\\a^{-n}=\dfrac{1}{a^n}

4 0
3 years ago
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Which number produces a rational number when added to 1/5
marin [14]

Answer: 2/3

Step-by-step explanation:

7 0
3 years ago
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-4(y-2)=12<br> what is the answer
AysviL [449]

Answer:

y=−1

Step-by-step explanation:

Let's solve your equation step-by-step.

−4(y−2)=12

Step 1: Simplify both sides of the equation.

−4(y−2)=12

(−4)(y)+(−4)(−2)=12(Distribute)

−4y+8=12

Step 2: Subtract 8 from both sides.

−4y+8−8=12−8

−4y=4

Step 3: Divide both sides by -4.

−4y

−4

=

4

−4

y=−1

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Can someone help me with 3
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Length = 12

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