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3 years ago

A package of 5 pairs of insulated gloves cost $36.95.what is the unit price of the pair of gloves?

Mathematics

1 answer:

Viefleur [7K]3 years ago

6 0

Answer:

The unit price of the pair of gloves is $7.39.

Step-by-step explanation:

$\frac{5 \: pairs}{36.95 \: dollars} = \frac{1 \: pair}{x} \\ \\ \frac{36.95}{5} = \frac{5x}{5} \\ \\ 7.39 = x$

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What is the value of x in the equation three-fourths (one-fourth x 8) minus (one-half x 2) = startfraction 3 over 8 endfraction

Oksi-84 [34.3K]

The value of x in the equation is x=-44.

The given equation is $\frac{3}{4}\left(\frac{1}{4}x+8\right)-\left(\frac{1}{2}x+2\right)=\frac{3}{8}(4-x)-\frac{1}{4}$ .

An algebraic expression in mathematics is an expression that's made from variables and constants, together with algebraic operations (addition, subtraction, etc.). Expressions are made of terms.

Firstly, apply the distributive property as a(b+c)=ab+ac and get

$\begin{aligned}\frac{3}{4}\times \frac{1}{4}x+\frac{3}{4}\times 8-\frac{1}{2}x-2&=\frac{3}{8}\times 4-\frac{3}{8}\times x-\frac{1}{4}\\ \frac{3x}{16}+6-\frac{x}{2}-2&=\frac{3}{2}-\frac{3x}{8}-\frac{1}{4} \end$

Now, rearrange the terms by taking variable terms on the left-hand side and constant terms on the right-hand side as

$\frac{3x}{16}-\frac{x}{2}+\frac{3x}{8}=\frac{3}{2}-\frac{1}{4}-6+2$

Further, simplify the above expression by taking L.C.M as

$\begin{aligned}\frac{3x-8x+6x}{16}&=\frac{6-1}{4}-4\\ \frac{x}{16}&=\frac{5-16}{4}\\ \frac{x}{16}&=\frac{-11}{4}\end$

Then, multiply both sides with 4 and get

$\begin{aligned}4\times \frac{x}{16}&=4\times \frac{-11}{4}\\ \frac{x}{4}&=\frac{-11}{1}\end$

Furthermore, cross multiply both sides and get

$x=-44$

Hence, the value of x in the equation which is given $\frac{3}{4}\left(\frac{1}{4}x+8\right)-\left(\frac{1}{2}x+2\right)=\frac{3}{8}(4-x)-\frac{1}{4}$ is x=-44.

Learn about algebraic expression from here brainly.com/question/8690932

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2 years ago

Tutorial Charlie is planning a trip to Madrid. He starts with $984.20 in his savings account and uses $381.80 to buy his plane t

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Answer:

$150.60

Step-by-step explanation:

$984.20-$381.80= $602.40

Take $602.40 and divide by 4 which equals $150.60 which is the 1/4 $ Charlie has in his savings account.

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3 years ago

Please tell me how to do it and not the actual answer! I am allowed to use calculators for this BTW. Thanks!

Sauron [17]

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2 years ago

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What is the equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6)

maksim [4K]

Answer:

search in anywhere

Step-by-step explanation:

or do it in calculator

or ask from your teacher

ans : A) y= 0.25x + 3

B) y= 0.25x - 4.5

C) y= 4x + 18

D) y= 4x - 42

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3 years ago

A package of 5 pairs of insulated gloves cost $36.95.what is the unit price of the pair of gloves?​

A package of 5 pairs of insulated gloves cost $36.95.what is the unit price of the pair of gloves?