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4 years ago

3x+11 divided by 2=-2

Mathematics

1 answer:

svlad2 [7]4 years ago

4 0

Answer:

x=-5

Step-by-step explanation:

(3x+11)/2=-2

3x+11=-4

3x=-15

x=-5

The goal is to isolate the variable.

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What's the difference between a relation and function

user100 [1]

Relation-set of numbers w a relationship in domain and range
function- is a relation that has specific set of numbers that causes there to be only one range of numbers for each domain

7 0

4 years ago

Read 2 more answers

Help please!!!! x = ___ units

Natali [406]

Answer:

x = 20 units

Step-by-step explanation:

∆KJL is a 30° - 60° - 90° triangle which means that side opposite of 30° is x, side opposite of 60° is x√3, and side opposite of 90° is 2x.

Since side opposite of 90° is 40√2 which is 2x and x is the side opposite of 30° (JL).

2x = 40√2 → 2x ÷ 2 = 40√2 ÷ 2 → x = 20√2.

∆JML is a 45° - 45° - 90° triangle which means that sides opposite of 45° are x and 90° is x√2.

Since side JL is also the side opposite of 90° and the sides opposite of 45° are the value x,

20√2 = x√2 → 20√2 ÷ √2 = x√2 ÷ √2 → 20 = x →

x = 20.

3 0

3 years ago

1The volumes of two similar prisms are 972 cm3 and 36 cm3. The surface area of the larger prism is 594 cm2.

diamong [38]

Answer:

Part 1)

The scale factor of the smaller prism to the larger prism is 3

The scale factor of the larger prism to the smaller prism is 1/3

Part 2) The surface area of the smaller prism is 66 square centimeters

Step-by-step explanation:

Part 1) What is the scale factor for the similar figures?

we know that

If two figures are similar, then the ratio of their volumes is equal to the scale factor raised to the cube

Let

z ----> the scale factor

x ---> volume of the larger prism

y ---> volume of the smaller prism

$z^3=\frac{x}{y}$

we have

$x=972\ cm^3\\y=36\ cm^3$

substitute

$z^3=\frac{972}{36}$

Simplify

$z^3=27\\z=3$

therefore

The scale factor of the smaller prism to the larger prism is 3

The scale factor of the larger prism to the smaller prism is 1/3

Part 2) What is the surface area of the smaller prism?

we know that

If two figures are similar, then the ratio of their surface areas is equal to the scale factor squared

Let

z ----> the scale factor

x ---> surface area of the larger prism

y ---> surface area of the smaller prism

$z^2=\frac{x}{y}$

we have

$x=594\ cm^2$

$z=3$

substitute

$3^2=\frac{594}{y}$

solve for y

$y=\frac{594}{9}=66\ cm^2$

therefore

The surface area of the smaller prism is 66 square centimeters

6 0

3 years ago

It takes 8 people to pull a 16 ton truck. How many people would it take to pull a 60 ton truck?

serious [3.7K]

Answer:

30 people

Step-by-step explanation:

8/16=x/60

simplify 8/16 into 1/2,

1/2=x/60

cross product

2*x=1*60

2x=60

x=60/2

x=30

7 0

3 years ago

A. (2, -1) B. (2, 1) C. (-1, 2) D. No solution

galben [10]

If you are finding the y-intercept of the values, it would be D no solution because the slopes are the same. Since the lines are parallel, there would not be a solution.

3 0

3 years ago