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3 years ago

Consider the inequality-5(x+7)<-10 write an inequality representing the solution for x

Mathematics

1 answer:

GrogVix [38]3 years ago

6 0

Answer:

Step-by-step explanation:

-5(x + 7) < -10 <em>use the distributive property </em><em>a(b + c) = ab + ac</em>

(-5)(x) + (-5)(7) < -10

-5x - 35 < -10 <em>add 35 to both sides</em>

-5x < 25 <em>change the signs</em>

5x > - 25 <em>divide both sides by 5</em>

x > -5

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PLEASE HELP ME PLEASE

SCORPION-xisa [38]

<h3>Step-by-step explanation:</h3><h3>(2/3)x - 2 = 7</h3>

(2/3)x = 7 + 2

(2/3)x = 9

2x = 9 × 3

x = 27/2

:. x = 13 1/2

7 0

3 years ago

This is so confusing all of it makes no sense

Tom [10]

Answer:

D). $4\sqrt{2}$

Step-by-step explanation:

<u>STEP 1a:</u> Find the last angle of the triangle. ( which is angle A)

$A+90+45=180$

<u>STEP 1b:</u> Solve the equation for A by adding 90 and 45.

$A+135=180$

<u>STEP 1c:</u> Then Move all terms not containing A to the right side of the equation by subtracting 135 from both sides of the equation

$A=180-135$

<u>STEP 1d:</u> Subtract 135 from 180.

$A=45$

STEP 2a: Find side b next.

STEP 2b: The cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

$cos(A)=\frac{adj}{hyp}$

STEP 2c: Substitute the name of each side into the definition of the cosine function.

$cos(A)=\frac{b}{c}$

STEP 2d: Set up the equation to solve for the adjacent side, in this case b.

$b=c*cos(A)$

STEP 2e: Substitute the values of each variable into the formula for cosine.

$b=8*cos(45)$

STEP 2f: Cancel the common factor of 2.

$a=4\sqrt{2}$

HOPE THIS HELPS!

4 0

3 years ago

Read 2 more answers

Whats the formula for the surface area of a triangle?

Alecsey [184]

Answer:

use the formula A = 1/2bh, where A = area, b = base, and h = height. Once you have the areas of all sides and faces, you simply add them together to get the surface area.

Hope this helps!

8 0

3 years ago

Read 2 more answers

What value of x satisfies this equation, 4/5 x - 6 = -2 ? Group of answer choices

andrew11 [14]

Answer:

Step-by-step explanation:

4/5 x -6 = -2

4 x -30 = -10

-120 = -10

5 0

3 years ago

Which can holds more an American beer can measuring 6.5cm in diameter by 14.1cm high or an European beer can measuring 5.2cm in

inn [45]

Answer:

European can holds more, Volume is approx 159π

American can, Volume is approx 149π

Step-by-step explanation:

V(cyl) = π · r² · h

6 0

3 years ago