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4 years ago

Which inverse operation would be used to verify the following equation?

Mathematics

2 answers:

Oksi-84 [34.3K]4 years ago

6 0

The correct answer is A.

Fed [463]4 years ago

6 0

Answer:

Option A is correct.

Inverse operation of division is multiplication.

$34 \times 3 = 102$

Step-by-step explanation:

Verify the equation: $102 \div 3 = 34$

Inverse operation of $\div$ is $\times$

then;

$102 \times \frac{1}{3} = 34$

By cross multiply we get;

$102 = 34 \times 3$

therefore, the inverse operation would be used to verify the following equation is; $34 \times 3 = 102$

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2 min.

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the sum of three times one number, x, and five times a second number,y, is 77. if the sum of the two numbers is 19, find the two

HACTEHA [7]

Answer:

x=9, y=10. (9, 10). The two numbers are 9 and 10.

Step-by-step explanation:

3x+5y=77

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3x+5y=77

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3x+5y=77

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5 0

3 years ago

Can someone please help me with number 2?I don't know what I did wrong.

Dmitry [639]

Part A

Let's say point P is the starting point and point Q is the endpoint

x = one-way distance from P to Q, and vice versa

The goal is to find x, then compute 2x to find the round trip distance traveled.

We'll use this idea

distance = rate*time

which solves to

time = distance/rate

So when going from P to Q, the driver is going 70 mph and travels x miles

So the driver does this for distance/time = x/70 hours.

When going back, the driver slows down to 55 mph so the time taken here is x/55 hours.

The total time values add to x/70 + x/55 hours

Set this equal to the total driving time of 7 hours and solve for x

x/70 + x/55 = 7

70*55*(x/70 + x/55) = 70*55*7

70*55*(x/70) + 70*55*(x/55) = 26,950

55x + 70x = 26,950

125x = 26,950

x = (26,950)/125

x = 215.6 which is the one-way distance in miles

which then means,

2x = 2*215.6 = 431.2

Therefore, the total distance traveled is 431.2 miles

<h3>Answer: 431.2 miles</h3>

=========================================================

Part B

To find the duration of each trip, we simply need to evaluate x/70 and x/55. Those are the durations when going 70 mph and 55 mph respectively. These durations are measured in hours.

x/70 = (215.6)/70 = 3.08

x/55 = (215.6)/55 = 3.92

Note how 3.08+3.92 = 7 to help verify the answers.

<h3>Answers:</h3>

When going 70 mph, it takes about 3.08 hours
When going 55 mph, it takes about 3.92 hours

6 0

3 years ago

What equation best models this data? (Use y to represent the population in millions, and t to represent the year, assuming that

lapo4ka [179]

Answer:

y = 2.31x + 309.35

Step-by-step explanation:

Whenever you are checking for a best fitting equation you want to check if it has a constant slope. If it does then the relation is linear and super easy.

So, since the t values are increasing by the same amount you want to see if the y values are too. And they are, each population entry is increasing by 2.31, this is the slope.

Also, keep in mind you can caluclate slope with the equation $\frac{y_2-y_1}{x_2-x_1}$ here x is replaced by t though.

Now, since we know it's linear and we know the slope we can find the equation with the formula y - y1 = m(x - x1) where again, x is replaced by t and m is the slope 2.31

I am just going to use the first point. so x1 = t1 = 0

y - 309.35 = 2.31(x-0)

y = 2.31x + 309.35

Let me know if there was something you didn't understand.

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3 years ago