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Aleks04 [339]
3 years ago
8

I have been stuck on number 10 (this problem) for a while now. Can anyone help me with it and walk me through every step in orde

r to get a correct answer for the math problem in the picture? Thanks!! I’ll be giving away as many points as I can for a response! It must follow the criteria listed above though. Help and steps.

Mathematics
2 answers:
Serga [27]3 years ago
6 0

You know that a number divided by itself is 1, so this is

\dfrac{7^{-1}\times 7^{-7}}{7^{-7}}=7^{-1}\times\left(\dfrac{7^{-7}}{7^{-7}}\right)\\\\=7^{-1}\times 1=7^{-1}=\bf{\dfrac{1}{7}}

Something to a negative power is the reciprocal of that thing to the opposite positive power.

kotykmax [81]3 years ago
5 0
When you multiply a same number but with different powers, you can simply add the powers together. So, in your question, add the powers -1 and -7 together.
7^(-1) x 7^(-7) = 7^(-8)

When you divide a same number but with different powers, you subtract the power at the top with the power from the denominator. So, -8 - (-7) = -1.
7^(-8) / 7^(-7) = 7^(-1)

So your answer would be 7^(-1).
Hopefully my explanation was clear?
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A van can travel 18 miles on each gallon of gasoline. at that rate how many miles can the van travel on 15 gallons of gasoline
tensa zangetsu [6.8K]
18 / 1 = x / 15......18 miles to 1 gallon = x miles to 15 gallon
cross multiply
(1)(x) = (18)(15)
x = 270 miles
7 0
3 years ago
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Which best describes the graphs of the line that passes through (−12, 15) and (4, −5), and the line that passes through (−8, −9)
konstantin123 [22]

Answer:

C) They are perpendicular lines.

Step-by-step explanation:

We first need to find the slope of the graph of the lines passing through these points using:

m =  \frac{y_2-y_1}{x_2-x_1}

The slope of the line that passes through (−12, 15) and (4, −5) is

m_{1} =  \frac{ - 5 - 15}{4 -  - 12}

m_{1} =  \frac{ - 20}{16}  =  -  \frac{5}{4}

The slope of the line going through (−8, −9) and (16, 21) is

m_{2} =  \frac{21 -  - 9}{16 -  - 8}

m_{2} =  \frac{21  + 9}{16  + 8}

m_{2} =  \frac{30}{24}  =  \frac{5}{4}

The product of the two slopes is

m_{1} \times m_{2} =  -  \frac{4}{5}  \times  \frac{5}{4}  =  - 1

Since

m_{1} \times m_{2} =  - 1

the two lines are perpendicular.

4 0
3 years ago
Read 2 more answers
Pleaseee help I’m struggling so hard
ivanzaharov [21]

Answer:

-3

Step-by-step explanation:

8 0
3 years ago
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Whats the question? The answer is 32/3.
Ahat [919]
Maybe it could've been: 

3x = 32. Find the value of x.

Hence, you'd do 32 divided by 3 to find the value of x.
3 0
3 years ago
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Please help me with thissss
Evgesh-ka [11]

Answer:

a.) The sum of the weights of the two in insects is 0.0031 grams. (0.0031 grams)

b.) The fly is 0.0013 grams heavier than the gnat. (0.0013 grams)

Step-by-step explanation:

2.2 * 10^-3 = 2.2 * 1/1000 which is 2.2/1000.

9 * 10^-4 = 9 * 1/10000 = 9/10000

To add 9/10000 to 2.2/1000 we have to find the common denominator, which will be 10000.

So we do:

2.2/1000 * 10/10 = 22/10000

9/10000 + 22/10000 = 31/10000 = 0.0031.

The sum of the weights of the two in insects is 0.0031 grams.

To find how much heavier the fly is than the gnat we do:

22/10000 - 9/10000 = 13/10000 = 0.0013

The fly is 0.0013 grams heavier than the gnat.

7 0
3 years ago
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