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Citrus2011 [14]
3 years ago
13

The product of a number and 9 less than the number is 90. find the number.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0
Factors of 36 that differ by 9 are 12 and 3; 
<span>12*3 = 36 </span>
<span>Or you could write x(x - 9) - 36 = (x - 12)(x + 3) = 0 </span>
<span>The number was 12</span>
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An angle measures 70 degrees. Identify the type of angle
GREYUIT [131]

Answer:

Acute

Step-by-step explanation:

6 0
2 years ago
A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 25
lozanna [386]

Answer:

The height of the building is of 244.95 feet.

Step-by-step explanation:

We use the Pythagorean Theorem to solve this question.

We have that:

The shadow of 50 feet is one side of the right triangle, while the height h is other side.

The hypotenuse is the distance from the end of the shadow to the top of the building, which is 250 feet.

So

50^2 + h^2 = 250^2

h^2 = \sqrt{250^2 - 50^2}

h = 244.95

The height of the building is of 244.95 feet.

8 0
2 years ago
Help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
ahrayia [7]

Answer:

9. x=-6, y=0

10. x=-9, y=-10

11. x=3, y=-1

Step-by-step explanation:

2x-9y=-12\\3x+18y=-18

Multiply the first equation by 2.

4x-18y=-24\\3x+18y=-18

Add the equations.

7x=-42

x=-6

We figured out x now we have to figure out y. To figure out y plug in x into any equation.

2(-6)-9y=-12

-12-9y=-12

-9y=0

y=0

Your answer is x = -6 and y = 0 for number nine.

6x+3y=24\\2x+3y=-12

Change the signs of the second equation becuase 3y and 3y are both positive. We need one of them to be negative.

6x+3y=24\\-2x-3y=12

Add them.

4x = 36

x=9

Now we have to figure out y.

2(9)+3y=-12

18+3y=-12

3y=-30

y=-10

x=-9 and y=-10 is your answer to number ten.

10x+5y=25\\-7x-3y=-18

30x+15y=75\\-35x-15y=-90

-5x=-15

x=3

-7(3)-3y=-18

-21-3y=-18

-3y=3

y=-1

x=3 and y=-1 is the answer to number eleven. I hope this helps! Let me know if I got anything wrong.

4 0
2 years ago
Read 2 more answers
Professor shepherd weighed two pieces of metal for an experiment. the piece of iron weighed 7/12 of a pound and the piece of alu
Ira Lisetskai [31]

Answer:

The iron weighed 1/12 pound more than the aluminum.

Step-by-step explanation:

The weight of the aluminum is given as 1/2 pound. But that can also be written as 6/12 pound.

This is a subtraction problem (subtracting fractions...so also a common denominator problem)

In order to subtract fractions you have to get a common denominator.

7/12 - 1/2

= 7/12 - 6/12

= 1/12

The iron is 1/12 pound heavier than the aluminum.

6 0
2 years ago
Which decimals are less than 2.312 select all that apply A. 2.311. B.2.4 C.2.32 D.2.3 E.2.31 F.2.313
fgiga [73]

Answer:

A, D, E

Step-by-step explanation:

I hope this is correct

3 0
3 years ago
Read 2 more answers
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