All categories

3 years ago

Five times the difference of a number and 9 is equal to twice the number plus 15. What is the number?

Mathematics

2 answers:

Alex_Xolod [135]3 years ago

8 0

Answer:

The number is 20

Step-by-step explanation:

Five times the difference of a number and 9

5(x-9)

is equal to twice the number plus 15.

=2x+15

5(x-9)=2x+15

Distribute

5x-45 = 2x+15

Subtract 2x from each side

5x-45-2x = 2x+15-2x

3x-45 = 15

Add 45 to each side

3x-45+45 =15+45

3x = 60

Divide by 3

3x/3 = 60/3

x =20

Alex17521 [72]3 years ago

5 0

Answer:

The number is 20

Step-by-step explanation:

Let the number be x

5(x - 9) = 2x + 15

5x - 45 = 2x + 15

5x - 2x = 15 + 45

3x = 60

x = 60/3

x = 20

You might be interested in

At midnight the temperature was 30°F by 6 o'clock in the morning it was dropped 15° & by noon increased by 22° what was the

Mila [183]

Answer: 37°F

let me know if this is wrong

Step-by-step explanation:

30-15=15

15+22=37

7 0

3 years ago

"Eighty and fifteen hundredths" in numbers<br>(decimals)

Black_prince [1.1K]

Answer:

80.15

Step-by-step explanation:

Eighty and fifteen hundredths = 80.15

4 0

4 years ago

Evaluate the function when x=−2, 0, and 5. g(x)=3x−2

kipiarov [429]

I hope this helps....

x=-2
g(-2)= 3(-2)-2
= -6-2
g(-2)= -8

x=0
g(0)= 3(0)-2
=-2

x=5
g(5)=3(5)-2
g(5)=13

5 0

3 years ago

Read 2 more answers

Which graph shows the solution to the system of linear inequalities?

skad [1K]

U have to show us both graphs

4 0

3 years ago

Read 2 more answers

1. S(–4, –4), P(4, –2), A(6, 6) and Z(–2, 4) a) Apply the distance formula for each side to determine whether SPAZ is equilatera

Aleksandr [31]

Answer:

a) SPAZ is equilateral.

b) Diagonals SA and PZ are perpendicular to each other.

c) Diagonals SA and PZ bisect each other.

Step-by-step explanation:

At first we form the triangle with the help of a graphing tool and whose result is attached below. It seems to be a paralellogram.

a) If figure is equilateral, then SP = PA = AZ = ZS:

$SP = \sqrt{[4-(-4)]^{2}+[(-2)-(-4)]^{2}}$

$SP \approx 8.246$

$PA = \sqrt{(6-4)^{2}+[6-(-2)]^{2}}$

$PA \approx 8.246$

$AZ =\sqrt{(-2-6)^{2}+(4-6)^{2}}$

$AZ \approx 8.246$

$ZS = \sqrt{[-4-(-2)]^{2}+(-4-4)^{2}}$

$ZS \approx 8.246$

Therefore, SPAZ is equilateral.

b) We use the slope formula to determine the inclination of diagonals SA and PZ:

$m_{SA} = \frac{6-(-4)}{6-(-4)}$

$m_{SA} = 1$

$m_{PZ} = \frac{4-(-2)}{-2-4}$

$m_{PZ} = -1$

Since $m_{SA}\cdot m_{PZ} = -1$ , diagonals SA and PZ are perpendicular to each other.

c) The diagonals bisect each other if and only if both have the same midpoint. Now we proceed to determine the midpoints of each diagonal:

$M_{SA} = \frac{1}{2}\cdot S(x,y) + \frac{1}{2}\cdot A(x,y)$

$M_{SA} = \frac{1}{2}\cdot (-4,-4)+\frac{1}{2}\cdot (6,6)$

$M_{SA} = (-2,-2)+(3,3)$

$M_{SA} = (1,1)$

$M_{PZ} = \frac{1}{2}\cdot P(x,y) + \frac{1}{2}\cdot Z(x,y)$

$M_{PZ} = \frac{1}{2}\cdot (4,-2)+\frac{1}{2}\cdot (-2,4)$

$M_{PZ} = (2,-1)+(-1,2)$

$M_{PZ} = (1,1)$

Then, the diagonals SA and PZ bisect each other.

8 0

3 years ago

Five times the difference of a number and 9 is equal to twice the number plus 15. What is the number?​

Five times the difference of a number and 9 is equal to twice the number plus 15. What is the number?