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alexandr402 [8]
2 years ago
6

I thought of a number, multiplied it by 2 1/2, divided the result by 1 1/5, subtracted 7/18 from it, and got 1 5/6. What was my

number?
Mathematics
1 answer:
Svetradugi [14.3K]2 years ago
7 0
1 and 1/15

Work backwards, so add 7/18 to 1 5/6 first (I'm gonna add them in improper fraction form to make it easier) and you get 40/18 which is 20/9
Then multiply by 1 1/5 (or 6/5) to get 120/45 which simplifies to 8/3
Then divide by 2 1/2, or 5/2, which means you multiply by the reciprocal (2/5)
8/3 times 2/5 equals 16/15 or 1 1/15
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Write and solve a system of equations that represents each situation. Interpret the solution. 
ValentinkaMS [17]
X - $5 bills
y - $10 bills

x + y = 12
y = 5x

x + (5x) = 12
6x = 12
x = 2

y = 5(2)
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10 $10 bills and 2 $5 bills
6 0
3 years ago
Read 2 more answers
The curved part of this figure is a semicircle.
Nitella [24]
Draw the diameter from point (-1, -5) to point (2, 3).

The triangle has base 3 and height 8.

The diameter of the semicircle is the hypotenuse of the triangle.

d = \sqrt{3^2 + 8^2}

d \approx 8.544

The radius is half the diameter.

r = \dfrac{d}{2} = \dfrac{8.544}{2} = 4.272

The total area is the area of the triangle plus the area of the semicircle.

A = \dfrac{bh}{2} + \dfrac{\pi r^2}{2}

A = \dfrac{3 \times 8}{2} + \dfrac{\pi \times 4.272^2}{2}

A = 12 + 9.125 \pi units^2
3 0
3 years ago
This is for a Geometry-H class
crimeas [40]

Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees

<h3>How to Apply the Linear Angles Theorem?</h3>

Based on the linear angles theorem, we have the following equation which we will use to find the value of y:

3y + 11 + 10y = 180

Add like terms

13y + 11 = 180

Subtract 11 from both sides

13y + 11 - 11 = 180 - 11

13y = 169

13y/13 = 169/13

y = 13

Plug in the value of y

3y + 11 = 3(13) + 11 = 50 degrees

10y = 10(13) = 130 degrees.

Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.

The measures of the smaller angles are 50 degrees.

Learn more about the linear angles theorem on:

brainly.com/question/5598970

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6 0
1 year ago
If h(x) = x-7 and g(x)
shtirl [24]

Answer:

If you would like to find the equivalent expression to (g*h)(5), you can do this using the following steps:

h(x) = x - 7

g(x) = x^2

(g*h)(x) = g(h(x)) = g(x - 7) = (x - 7)^2

(g*h)(5) = g(h(5)) = g(5 - 7) = (5 - 7)^2 = (-2)^2 = 4

The correct result would be (5 - 7)^2.

Step-by-step explanation:

8 0
2 years ago
I need some help pls
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I think it would be obtuse, triangle, and a cute
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