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3 years ago

Why 4/10 and 40/100 have unlike denominators but are equivalent fractions.

2 answers:

8 0

They are equivalent fraction because both fractions have a common factor of 4/10.
You can divide 4/10 and get 1; 40/100 and get 10. Fractions are equivalent if they have common factors.

Arturiano [62]3 years ago

5 0

Because you can simplify 40/100 and get 4/10
when you divide 40/100 by ten on the den. and num. you will get 4/10

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(14-8) × (15-4) <br> Use the order of operations to find the value of each expression

stepan [7]

Answer:

Step-by-step explanation:

PEMDAS (parenthesis is first)

14-8=6

15-4=11

then you multiply

6 times 11 equals 66

5 0

3 years ago

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I need help with this problem. Given: BC = 10 inches AC = √50 inches m∠CBD = 60° m∠CAD = 90° Calculate the exact area of the sha

Nikitich [7]

Answer:

Area of the shaded region = 23.33 in²

Step-by-step explanation:

Area of a sector = $\frac{\theta}{360}(\pi r^{2})$

Where θ = Central angle subtended by an arc

r = radius of the circle

Area of the sector BCD = $\frac{60}{360}(\pi) (10^{2})$

= 52.36 in²

Area of equilateral triangle BCD = $\frac{\sqrt{3} }{4}(\text{Side})^2$

= $\frac{\sqrt{3} }{4}(10)^2$

= $25\sqrt{3}$ in²

= 43.30 in²

Area of the shaded portion in ΔBCD = 52.36 - 43.3

= 9.06 in²

Area of sector CAD = $\frac{90}{360}(\pi)(\sqrt{50})^2$

= 39.27 in²

Area of right triangle CAD = $\frac{1}{2}(\text{Base})(\text{Height})$

= $\frac{1}{2}(\text{AC})(\text{AD})$

= $\frac{1}{2}(\sqrt{50})(\sqrt{50})$

= 25 in²

Area of the shaded part in the ΔACD = 39.27 - 25

= 14.27 in²

Area of the shaded part of the figure = 9.06 + 14.27

= 23.33 in²

8 0

3 years ago

Please answer this correctly

coldgirl [10]

Answer:

4/5

Step-by-step explanation:

Because Patrick ate 1/5 of his cake, meaning that there would be 4/5 of the cake left for his friends to eat.

yes

3 0

3 years ago

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The director of health services is concerned about a possible flu outbreak at her college.

Anna [14]

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So we only focus on the "male" column. Use a highlighter to mark this column or cover up the other values if they are too distracting. There are 51 males total (bottom row) and 39 males had a flu shot (top row)

Divide the two values: 39/51 = (13*3)/(17*3) = 13/17

Answer: 13/17

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3 years ago

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If the sum of a number and seven is tripled, the result is three less than twice the number. Find the number

hram777 [196]

Answer:

x = -24

Step-by-step explanation:

3(x + 7) = 2x - 3

3 * x = 3x

3 * 7 = 21

3x + 21 = 2x - 3

-21 -21

3x = 2x -24

-2x -2x

x = -24

4 0

3 years ago