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2 years ago

45% of a number is 180. Find the number

Mathematics

2 answers:

masha68 [24]2 years ago

8 0

Answer:

x = 400

Step-by-step explanation:

45% x X = 180

45/100 x X = 180

x = 180 x 100/45

x = 400

KonstantinChe [14]2 years ago

4 0

Answer:

Step-by-step explanation:

The term "of" can be translated to multiplication in problems like this.

So it's essentially saying multiply 45% to 180 and give me the result.

45% can be written as 45/100 in fractions (45 percent, where cent means 100 and per means division). 45/100 can be written as 0.45 in decimal form.

Now the problem reads 0.45 X 180. Using a calculator, we can solve this and the result comes out to be 81

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Find the measure of angle ABC. A. 124 B. 97 C. 56 D. 51

Airida [17]

Answer: Last Option

Step-by-step explanation:

By definition the sum of the internal angles of a triangle must always be equal to 180 °.

This means that:

$32 + (2x-15) + (x-5)=180$

Now we solve the equation for the variable x

$32 + 2x-15 + x-5=180$

$2x+x +32-15-5=180$

$3x +32-20=180$

$3x +12=180$

We subtract 12 in both barks of the equation

$3x +12-12=180-12$

$3x=168$

Divide by 3 on both sides of the equation

$\frac{3}{3}x=\frac{168}{3}$

$x=\frac{168}{3}$

$x=56$

Finally the measure of angle ABC is: (56-5)° = 51°

6 0

3 years ago

Read 2 more answers

Solve the following system of equations by the substitution method. 2x = 10y - 8 3x + 4y + 5 = 0

Natali [406]

Answer:

x = $-\frac{41}{19}$

y = $\frac{7}{19}$

Step-by-step explanation:

2x = 10y - 8

3x + 4y + 5 = 0

2x = 10y - 8

x = 5y - 4

3x + 4y + 5 = 0

3 ( 5y - 4 ) + 4y + 5 = 0

19y - 7 = 0

19y = 7

y = $\frac{7}{19}$

x = 5y - 4

x = 5 ( $\frac{7}{19}$ ) - 4

x = $-\frac{41}{19}$

5 0

3 years ago

Help me ;-; Find (2)(‐3)

aliina [53]

-6
Would be your answer

8 0

2 years ago

Pls help ill give brainliest !!

AnnyKZ [126]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Is the given point interior, exterior, or on the circle (x + 2)2 + (y - 3)2 = 81? P(8, 4)

Elodia [21]

From the equation we see that the center of the circle is at (-2,3) and the radius is 9.

So using the distance formula we can see if the distance from the center to the point (8,4) is 9 units from the center of the circle...

d^2=(8--2)^2+(4-3)^2 and d^2=r^2=81 so

81=10^2+1^2

81=101 which is not true...

So the point (8,4) is √101≈10.05 units away from the center, which is greater than the radius of the circle.

Thus the point lies outside or on the exterior of the circle...

8 0

3 years ago