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2 years ago

Solve for X. 3/4x+7/8=4 1/4 Enter your answer as a mixed number in simplest form in the box.

Mathematics

1 answer:

neonofarm [45]2 years ago

6 0

Step-by-step explanation:

$\frac{3}{4} x + \frac{7}{8} = 4 \frac{1}{4}$

$\frac{3}{4} x = \frac{17}{4} - \frac{7}{8}$

$\frac{3}{4} x = \frac{34}{8} - \frac{7}{8}$

$\frac{3}{4} x = \frac{27}{8}$

$3x \times 8 = 27 \times 4$

$24x = 108$

$x = \frac{108}{24}$

$x = \frac{9}{2}$

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Rewrite the radical expression as an expression with a rational exponent. the seventh root of x to the third power

kherson [118]

The expression with a rational exponent of the seventh root of x to the third power is x to the three sevenths power ⇒ answer A

Step-by-step explanation:

Let us explain how to change the radical expression as an expression

with a rational exponent

1. Find the number of the root and make it the denominator of the

fraction exponent

2. Find the power of the term under the radical and make it the

numerator of the fraction exponent

Examples:

$\sqrt{x^{n}}=x^{\frac{n}{2}}$

$\sqrt[3]{x^{n}}=x^{\frac{n}{3}}$

$\sqrt[5]{x^{n}}=x^{\frac{n}{5}}$

So $\sqrt[m]{x^{n}}=x^{\frac{n}{m}}$

∵ the radical expression is the seventh root of x to the third power

∵ seventh root = $\sqrt[7]{}$

∵ x to the third power = x³

∴ seventh root of x to the third power = $\sqrt[7]{x^{3}}$

Let us change it to the rational exponent

∵ $\sqrt[m]{x^{n}}=x^{\frac{n}{m}}$

∵ $\sqrt[7]{x^{3}}$

∴ m = 7 and n = 3

∴ $\sqrt[7]{x^{3}}$ = $x^{\frac{3}{7}}$

∵ $x^{\frac{3}{7}}$ is x to the three sevenths power

∴ $\sqrt[7]{x^{3}}$ is x to the three sevenths power

The expression with a rational exponent of the seventh root of x to the third power is x to the three sevenths power

Learn more:

You can learn more about radical equation is brainly.com/question/7153188

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

A number added to 3 is equal to negative 5, find the number

anzhelika [568]

Answer:

-8

Step-by-step explanation:

An equation at represents this situation is:

-5 = 3 + x

Find x by;

-5 - 3 = -8

So x is -8:

-5 = 3 + -8 (TRUE)

Hope this helps

6 0

2 years ago

Read 2 more answers

how do I do this? I think I solved for z=24 but i'm not totally sure. I'm confused on how to solve for x and y mostly. We are us

Yuri [45]

The answer would be 21 because its the same length as the other side.

5 0

2 years ago

Plzz help me helppppp I'm almost out of time

Evgen [1.6K]

Answer:

$6.50 per bag of popcorn

Step-by-step explanation:

let a bag of popcorn be represented by p and a candy bar be b

28p + 40b= $282

17p + 20b= $160.50

this is an example of stimatanelous equations

so you have to double the second equation to give 34p + 40b =$321

subtract the equations to give one

6p =$39

divide $39 by 6 to give the value of one bag of popcorn = $6.50

3 0

2 years ago

Two angles form a complementary pair (sum is 90 degrees) one angle is 3x - 10 and the other angle is x + 8. Write an equation an

Whitepunk [10]

3x-10+x+8=90
4×-2=90
4x=92
X=23

One angle is 31. 23+8
The second one is 59. 3 (23)-10

7 0

2 years ago