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Anika [276]
4 years ago
9

Solve the following equation for x. 7x^2 - 112 = 0

Mathematics
2 answers:
serg [7]4 years ago
6 0

Answer:

x = 4, -4

is the answer

anastassius [24]4 years ago
5 0

Answer:

x=4

hope it helps!

Step-by-step explanation:

7x^2 -112 = 0

7x^2 = 0+112

(When we bring -112 to the other side, it becomes positive)

So, 7x^2 = 112

x^2 = 112/7

x^2 = 16

Now since x squared is 16 it means that x into x is 16

Therefore, x= √16

and x= 4

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3 years ago
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Ali's dog weighs 8 times as much as her cat together the two pets weigh 54 lb how much does Ali's dog weigh ​
RideAnS [48]

Answer:

48

Step-by-step explanation:

Cat = x

Dog = 8x

x + 8x = 54

9x = 54

x = 6, Dog = 8 * 6 = 48

7 0
3 years ago
A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of
daser333 [38]

Options were missing in the question;

A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of paper do you need to make a cup? Use 3.14 to approximate pi.

24 square inches

31 square inches

47 square inches

52 square inches

Answer:

24 square inches

Step-by-step explanation:

Given:

Diameter = 3 in

So we can say that;

Radius is half of diameter.

radius (r) = \frac{3}{2}=1.5\ in

Slant height (l) = 5 in

We need to find how many square inches of paper do you need to make a cup.

Solution:

Now according to question we required to find the amount of paper used to make cup.

Also Water cup is shaped liked cone.

Hence we can say that the base of cone is not covered since it will remain open.

So we will use Lateral surface area of the cone to find the paper requirement.

Now we know that;

Lateral surface area of cone is equal to π times radius times slant height.

framing in equation form we get;

A_L = \pi rl=3.14\times1.5\times5 = 23.55 in^2 \approx 24\ in^2

Hence We can say that 24 square inches of paper will be needed to make the cup.

5 0
3 years ago
The larger of two numbers is 15 more than 3 times the smaller number. If the sum of the two numbers is 63 find the numbers
scoray [572]

Answer:

X = 51

Y = 12

Step-by-step explanation:

2 numbers: (Larger) Number 1 is x and Number 2 is y

The equation is x + y = 63

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  • y = y

New equation is:

  • 3y + 15 + y = 63

Combine like variables:

  • 4y + 15 = 63

Solve:

  • 4y + 15 - 15 = 63 - 15
  • 4y = 48

Divide 4 from each side:

  • <em><u>y = 12</u></em>

To find x fill in the variables from the 'x =' equation:

  • x = 3y + 15
  • x = 3( 12) + 15
  • <em><u>x = 51</u></em>
3 0
3 years ago
Nicole is half as old as Donald. The sum of their ages is 72.<br> How old is Nicole, in years?
PIT_PIT [208]

Answer:

24

Step-by-step explanation:

The sum of the their ages is 72. 48 divided by 2 is 24. 48 plus 24 is 72

3 0
3 years ago
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