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Lemur [1.5K]
3 years ago
10

Simplify the expression. Select the best answer from the choices below.

Mathematics
1 answer:
Alik [6]3 years ago
4 0

Answer:

10x-6+y

Step-by-step explanation:

remove parentheses then collect like terms,hope this helped:)

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Tim and Cynthia leave Cynthia's house at the same time. Tim drives north and Cynthia drives west. Tim's average speed is 10 mph
RSB [31]

Answer:

  54.2 mph

Step-by-step explanation:

Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...

  70² = c² +(c -10)²

  4900 = 2c² -20c +100 . . . . eliminate parentheses

  c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form

  (c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form

  c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical

  c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution

Cynthia's average speed was 54.2 miles per hour.

6 0
3 years ago
The quotient of a number and 2 is the same as the difference of the number doubled and 3. What is the number?
Yanka [14]

Hi,

x/2 = 2x - 3

x/2 - 2x = - 3

x = 3 /(3/2)

x = 3 * 2/3 = 2

The number is 2.

7 0
3 years ago
Which is an equation of the line through the origin and (3,4)? Please help
kondor19780726 [428]
B is the answers………..
8 0
3 years ago
6. A prism has bases that are equilateral triangles with sides lengths of 10 inches and a length of 30 inches.
vova2212 [387]

Answer:

The volume of the prism is 1,299\ in^{3}

Step-by-step explanation:

we know that

The volume of the prism is equal to

V=BL

where

B is the area of the triangular base

L is the length of the prism

we have

L=30\ in

<em>Find the area of the base B</em>

The area of a equilateral triangle is equal to

B=\frac{1}{2}(10)^{2} sin(60\°)

B=25\sqrt{3}\ in^{2}

substitute

V=(25\sqrt{3})(30)=1,299\ in^{3}

4 0
3 years ago
Can someone pls help
Paladinen [302]

Answer:

a=he went back home

b=speed=240km/h

Step-by-step explanation:

ps: wouldn't mind brainliest

7 0
3 years ago
Read 2 more answers
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