Solve for x.

−10<−2x+4≤8

Answers

Answer 1

Answer:

$-10 < -2x+4\leq8\ \ \ \ |-4\n\n-14 < -2x\leq4\ \ \ \ |\text{change the signs}\n\n14 > 2x\geq-4\ \ \ \ |:2\n\n\boxed{7 > x\geq-2}\to\boxed{-2\leq x < 7}$

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The right rectangular prism is made up of 100 cubes. Each cube has edge lengths of 2 inches. What is the volume of the right rectangular prism, in cubic inches

Answers

Answer:

800 inches³

Step-by-step explanation:

∵ The volume of each cube is s³

∵ The length of the side is 2 inches

∴ The volume of the cube = 2³ = 8 inches³

∵ The prism consists of 100 cubes

∴ The volume of the prism = 100 × 8 = 800 inches³

Another method:

We divide the number of cubes to form the rectangular prism

5 cubes as a length , 2 cubes as a width and 10 cubes as height

∵ The length of the side of each cube is 2 inches

∴ The length = 5 × 2 = 10 inches

∴ The width = 2 × 2 = 4 inches

∴ The height = 10 × 2 = 20 inches

∵ The volume of the prism = L × W × H

∴ V = 10 × 4 × 20 = 800 inches³

An astronaut who weighs 126lb on Earth weighs only21lb on the moon. How much would a person who weights 31lb on the moon weigh on Earth?

Answers

If his weight on Earth is 126lb and only 21lb on moon, you can divide $126/21$ to see what is the ratio of those weights.
$126/21=6$

It means that your weight on moon will be 6 times less than on Earth.

Now we have to multiply 31lb which is weight of the person on moon by 6 to get his weight on Earth $6*31=186$

On moon our mass becomes 1/6 of actual mass so if you weigh 60 kg then your mass on moon will be 10 kg..
Similarly if your mass on moon is 31 lbs then your mass on earth will be 31*6=186 lbs.
Please mark it as best if u like it

2/7m-1/7=3/14 help this is so confusing

Answers

Solution for $(2)/(7)m - (1)/(7) = (3)/(14) \ is \ m = (5)/(4) \ or \ m = 1(1)/(4) \ or \ m = 1.25$

Further explanation

A case about one variable linear quations. We have to solve the equation to get the variable m. Let's isolate the variable m alone at the end of the process on one side of the equation, until the variable will be equal to a value on the opposite side.

We add $(1)/(7)$ to both sides:

$(2)/(7)m - (1)/(7) + (1)/(7) = (3)/(14) + (1)/(7)$

$(2)/(7)m = (3)/(14) + (1)/(7)$

On the right side for the addition operation, we equate the common denominator by multiplying $\ (1)/(7) \ by \ (2)/(2)$

$(2)/(7)m = (3)/(14) + (2)/(14)$

Then we combine terms to get:

$(2)/(7)m = (5)/(14)$

We divide by the coefficient of m, or in other words, multiply both sides by $(7)/(2)$ :

$(2)/(7)m * (7)/(2) = (5)/(14) * (7)/(2)$

Finally, the solution is obtained as follows

$m = (35)/(28)$

We simplify fractions, both the numerator and denominator are divided equally by 7.

$\boxed{ \ m = (5)/(4) \ }$

In the form of mixed fractions, we get:

$\boxed{ \ m = 1 (1)/(4) \ }$

In decimal form, we get

$m = 1 (25)/(100) \rightarrow \boxed{ \ m = 1.25 \ }$

Check the solution into the equation:

$\big( (2)/(7) * (5)/(4) \big) - (1)/(7) = (3)/(14)$

$(10)/(28) - (1)/(7) = (3)/(14)$

$(5)/(14) - (2)/(14) = (3)/(14)$

$(3)/(14) = (3)/(14)$

Both sides show the same value, so the solution is correct.

Quick steps in summary:

$(2)/(7)m - (1)/(7) = (3)/(14)$

$(2)/(7)m = (3)/(14) + (1)/(7)$

$(2)/(7)m = (3)/(14) + (2)/(14)$

$(2)/(7)m = (5)/(14)$

$m = (5)/(14) * (7)/(2)$

$m = (35)/(28)$

$\rightarrow \boxed{ \ m = (5)/(4) \ }$

$\rightarrow \boxed{ \ m = 1 (1)/(4) \ }$

$\rightarrow \boxed{ \ m = 1.25 \ }$

Note:

The important thing to do is how to manipulate both sides of the equation with the algebraic properties of equality such as:

adding,
subtracting,
multiplying, and/or
dividing both sides of the equation with the same number.

All these processes can occur repeatedly until the isolated variables are obtained on one side of the equation. In the form of fractions, the steps that must be considered are

equate the denominator,
simplify fractions, and
turn fractions into mixed fractions or decimal forms.

Let's practice a lot until you get used to and know which operations should be done first.

Learn more

A word problem that forms a single variable linear equation brainly.com/question/1566971
Learn more about single variable linear equation that has no solution, has one solution, and has infinitely many solutions brainly.com/question/2595790
Questioning the stages of solving a word problem about one variable linear equations brainly.com/question/2038876

Answer details

Grade : Middle School

Subject : Mathematics

Chapter : Linear Equation in One Variable

Keywords : solve, solution, variable, coefficient, 2/7m - 1/7 = 3/14, 5/4, 1 1/4, 1.125, algebraic properties of equality, one, linear equation, isolated, manipulate, operations, add, substract, multiply, divide, fraction, equate, denominator, numerator, both sides, decimal, brainly

Find thesimplfies form of the expression Give your answer in scientific notation. (8x10^4)(9x20^-8)

Answers

The Answer Would be 0.0072

What is the product of4 2/3 and 11 ,1/4

Answers

The product of 4 2/3 and 11 1/4 is 52.5.

4 2/3 + 11 1/4 would be equal to 4 8/12 + 11 3/12. When you add those up it will get 15 11/12.

Answer: 15 11/12

You are working in a hospital supply room and make $13.65 an hour. The union negotiates a new contract giving each employee a 4.3% cost of living raise. What is your new hourly rate?

Answers

The new hourly rate will be $14.196 per hour.

What is a mathematical function, equation and expression?

function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

equation : A mathematical equation is used to equate two expressions.

Given is that you are working in a hospital supply room and make $13.65 an hour. The union negotiates a new contract giving each employee a 4.3% cost of living raise

Assume that the new hourly rate be $[x]. Then, we can write -

[x] = 13.65 + {4% pf 13.65}

[x] = 13.65 + {4/100 x 13.65}

[x] = 13.65 + 0.546

[x] = 14.196

Therefore, the new hourly rate will be $14.196 per hour.

To solve more questions on functions, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ2

Find the amount of the raise by multiplying 13.65 x 4.3%...

13.65 x .043 = .58695

Round to the nearest cent

.59

So the raise is .59 (59 cents)

Add it to the original salary

13.65 + .59 = 14.24

New hourly wage... $14.24

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CAN SOMEONE PLEASE JUST ANSWER THIS ASAP FOR BRAINLIEST!!!