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kolbaska11 [484]
2 years ago
14

1/7 divided by blank equals 14

Mathematics
1 answer:
kherson [118]2 years ago
3 0

Answer:

1/98

Step-by-step explanation:

Step 1: Translate statement into equation.

  • \frac{1}{7}/x = 14
  • \frac{1}{7x}=14

Step 2: Multiply both sides by 7x.

  • \frac{1}{7x} * 7x = 14 * 7x
  • 1 = 98x

Step 3: Divide both sides by 98.

  • \frac{1}{98} =\frac{98x}{98}
  • x = \frac{1}{98}

Step 4: Check if solution is correct.

  • \frac{1}{7}/\frac{1}{98}
  • \frac{1}{7}*98
  • 14

Therefore, the answer is 1/98.

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Martin throws a ball straight up in the air. the equation h(t) = -16t^2 + 40t + 5 gives the height of the ball, in feet, t secon
Lisa [10]

Answer:

2.62 seconds

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> he height of the ball, in feet

we have

h(t)=-16t^2+40t+5

we know that

When the ball hits the ground, the height is equal to zero

so

-16t^2+40t+5=0

The formula to solve a quadratic equation of the form

at^{2} +bt+c=0

is equal to

t=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^2+40t+5=0

so

a=-16\\b=40\\c=5

substitute in the formula

t=\frac{-40\pm\sqrt{40^{2}-4(-16)(5)}} {2(-16)}

t=\frac{-40\pm\sqrt{1,920}} {-32}

t=\frac{-40+\sqrt{1,920}} {-32}=-0.12\ sec

t=\frac{-40-\sqrt{1,920}} {-32}=2.62\ sec

therefore

The solution  is t=2.62 seconds

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2 years ago
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Step-by-step explanation:

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Mars2501 [29]

Answer:

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Step-by-step explanation:

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4 0
2 years ago
If six more than the product of a number and -2 is greater than 10, which of the following could be that number
laiz [17]
To get that number in the problem, you need to translate first the word problem into mathematical expression.

We will let x as the number.
six more than the product of a number and -2 is greater than 10 can be written as  (-2x) + 6 > 10
We will now solve for x to get the number.
         (-2x) + 6 > 10
Add -6 to both sides of the equation
      -2x + 6 - 6 > 10 - 6
                  -2x > 4
Divide both sides of the equation with -2
Take note that if we divide a negative number in inequality, the inequality symbol will be change from greater than to less or from less than to greater than.
             -2x / -2< 4 / -2
                     x < -2

Therefore, the number that we are looking for is less than -2.

 

7 0
3 years ago
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