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3 years ago

( x - 7 )/ ( x - 2 ) = 5/4 , Therefore x = -------------

Mathematics

1 answer:

skad [1K]3 years ago

4 0

Answer:

x = -18

Explanation:

To solve this problem easily, we can cross multiply. You would multiply the numerator of the first fraction by the denominator of the second, and multiply the numerator of the second fraction by the denominator of the first. In this case, (x-7) would be multiplied by 4 and 5 would be multiplied by (x-2). The answers from these two calculations would each be one side of the equation.

After doing this, you can solve and isolate x.

Work is shown in the attached picture.

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Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality show

yuradex [85]

Gavin needs $80 to buy a fish tank. He has saved $8 and plans to work as a babysitter to earn $9 per hour. Which inequality shows the minimum number of hours, n, that Gavin should work as a babysitter to earn enough to buy the fish tank? 8 + 9n ≥ 80, so n ≥ 8 8 + 9n ≤ 80, so n ≤ 8 9n ≥ 80 + 8, so n ≥ 9.8 9n ≤ 80 + 8, so n ≤ 9.8

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3 years ago

Which ordered pair is the solution to the system of equations?

SOVA2 [1]

To find the solution, we use the substitution method.

x+y=-1
x-3y=11

x+y = -1-y
-y

x = -1-y

Now apply the value of x into the other equation.

x-3y=11
-1-y-3y = 11

Combine like terms

-4y -1 = 11
+1 +1
-4y = 12

-4y = 12
-4y/-4 = 12/-4
y = -3

Now, apply the value of Y to one equation to find x.

y = -3

x -3 = -1
+3 +3

x= 2

Now we have the value for both, x and y.
x = 2
y =-3

Final answer: A. (2, −3)

3 0

3 years ago

At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?

kati45 [8]

Answer:

Okay. At noon, the hour and minute hand overlap. First, let’s calculate the speed of the hands.

The minute hand rotates once around the clock every hour. It goes 360 degrees in 60 minutes, so it rotates 360/60 or 6 degrees per minute. The hour hand goes once around the clock every 12 hours. Because there are 60 minutes in an hour, it goes 360 degrees 12*60 or 720 minutes. This means it travels at a speed of 360/720 or 0.5 degrees per minute.

Once the clock starts, the minute hand goes ahead and rotates ahead of the hour hand. At 1:00, the minute hand is at 12, and the hour hand is ahead at 1. This is where we will start our calculations.

Now, we have a variable, m, which is the minutes that have passed since the clock started. So, our minute hand speed is 6m, and our hour hand speed is 0.5m. However, because the hour hand is at one, it is at 30 degrees. (360/12 * 1.) This means our equation is 6m = 0.5m+30.

Now, we calculate.

6m = 0.5m+30

5.5m = 30

m = 30/5.5

m = 5.45

So at 5.45 minutes, the minute hand is at the hour hand. However, because one hour has passed since we started, we have to add on one hour.

So, our final total is 1 hour 5 minutes and 27 seconds.

Step-by-step explanation:

4 0

3 years ago

10 points

Inessa05 [86]

Answer:

18 books per box! :) hope I helped

4 0

3 years ago

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3(x-6) + 4 + 5x - 6 (use distributive property) please help asap!

Dmitry_Shevchenko [17]

Answer:

8x - 20

Step-by-step explanation:

3(x - 6) + 4 + 5x - 6 $\longmapsto$ Distribute 3 to (x - 6)

3(x) - 3(6) + 4 + 5x - 6

3x - 18 + 4 + 5x - 6

Simplify:

3x + 5x - 18 + 4 - 6

8x -18 - 2

8x - 20

-Chetan K

3 0

3 years ago

Read 2 more answers