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horrorfan [7]
1 year ago
7

1. 1/3 - 7/8rewrite the complex fraction as a division expressionshow the complex fraction in simplest form. 2. The lions won 35

out of 40 games this season. What fraction of the games did the lions win? Write your answer in simplest form.Write a decimal and a percent equivalent to the fraction of games the lions won.3. Stephanie had $325.48 in her checking account. She made deposits of $28.35 and $78.88A. How much money was in Stephanie's account after the deposits? B. Stephanie also wrote one check for $107.85. How much money is in her account now?4. Mr. and Mrs Thomas are planning to build a fence around their garden. They are comparing different measurements for their plans. (Plan A: Posts are 4 1/4 feet in length. Posts must be installed 7/8 feet below ground level.)(Plan B: Posts are 6 3/4 feet in length. Posts must be installed 1 and 1/2 feet below ground level.)A. What will be the height of the fence in Plan A?B. What will be the height of the fence in Plan B?C. Which fence would be taller and by how much?D. Mr and Mrs Thomas decide to go with Plan A. Their total bill is $356.88. If they pay 220 in cash and charge the remainder, How much did they charge??
Mathematics
1 answer:
Svet_ta [14]1 year ago
7 0

1. 1/3 - 7/8

rewrite the complex fraction as a division expression

show the complex fraction in simplest form.

step 1

we have

\begin{gathered} \frac{1}{3}-\frac{7}{8} \\  \end{gathered}

Multiply the first term by 8/8

so

(1/3)*(8/8)=8/24

Multiply the second term by 3/3

(7/8)*(3/3)=21/24

step 2

substitute in the original expression

8/24 -21/24

the fractions have the same denominator

so

(8-21)/24

-13/24

therefore

the answer is

-13/24

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AleksandrR [38]

<em><u>The solution is:</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75

<em><u>Solution:</u></em>

We have to solve the given expression

<em><u>Given expression is:</u></em>

2\frac{1}{12} - 5\frac{5}{6}

<em><u>Let us first convert the mixed fraction to improper fraction</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

Thus we get,

2\frac{1}{12} = \frac{2 \times 12 + 1}{12} = \frac{25}{12}

5\frac{5}{6} = \frac{ 5 \times 6 +5}{6} = \frac{35}{6}

<em><u>Thus the given expression becomes,</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35}{6}

Make the denominators same for easier calculations

2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{35 \times 2}{6 \times 2}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25}{12} - \frac{70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} = \frac{25-70}{12}\\\\2\frac{1}{12} - 5\frac{5}{6} =\frac{-45}{12}

<em><u>Reducing to lowest terms, we get</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4}

<em><u>In decimal form, we get</u></em>

\rightarrow \frac{-15}{4} = -3.75

<em><u>Thus the solution is:</u></em>

2\frac{1}{12} - 5\frac{5}{6} = \frac{-15}{4} \text{ or } -3.75

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4 years ago
Michael bought a new sweater on sale for $30. The sweater originally cost $80.
Whitepunk [10]
63% off or at least roughly that hope this helps
7 0
3 years ago
Solve for x. Round to the nearest tenth of a degree, if necessary.​
MissTica

Answer:

x ≈ 54.8°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan x = \frac{opposite}{adjacent} = \frac{PQ}{QR} = \frac{7.1}{5} , then

x = tan^{-1} (\frac{7.1}{5} ) ≈ 54.8° ( to the nearest tenth )

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cbegin%7Bequation%7D%5Ctext%20%7B%20Question%3A%20The%20value%20of%20%7D%20%5Clim%20_%7Bn%20
12345 [234]

You have something resembling a Riemann sum. Multiply through the summand by 1/n², then you can write

\displaystyle \lim_{n\to\infty} \frac1n \sum_{r=0}^{2n-1} \frac{1}{1+4\left(\frac rn\right)^2} = \int_0^2 \frac{dx}{1+4x^2} = \boxed{\frac12 \tan^{-1}(4)}

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2 years ago
7 fruit tarts. Each tart needs 3/4 cup of strawberries and 1/4 cup of blueberries. What is the total amount of fruit needed
Murrr4er [49]
3/4 x 7 =5 and 1/4 cup
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so 7 cups in total hope this helped:)! brainliest please:)?
6 0
4 years ago
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