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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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¿cuál es el número que no pertenece a esta suceción 99,105111,117,123,129,135,141,147,153
shepuryov [24]

No hay ninguno de los nimbers que no pertenezca a la secuencia.

<h3>¿Qué número no pertenece a la secuencia?</h3>

Sabemos que una secuencia tiene que ver con un arreglo de números en un orden definido. Todos los números en una secuencia deben tener la misma razón común o diferencia común.

Si miramos todos los números que están escritos en la secuencia, la diferencia común aquí es seis. Se sigue entonces que todos los números son parte de la sucesión y no hay ninguno de los números que no pertenezca a la sucesión.

Obtenga más información sobre la secuencia: brainly.com/question/21961097

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2 years ago
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2. The ratio of radii of two cylinders is 1:2 and heights are in the ratio 2:3. Find the ratio of their volumes.
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Answer: \frac{1}{6} or 1:6

Step-by-step explanation:

The volume of a cylinder can be found with the following formula:

V=\pi r^2h

Where "r" is the radius and "h" is the height of the cylinder.

In this case, let be:

- V_1 the volume of one of this cylinders and V_2 the volume of the other one.

- r_1 the radius of the first one and r_2 the radius of the other cylinder.

- h_1 the height of one of them and h_2 the height of the other cylinder.

Then:

V_1=\pi r_1^2h_1\\\\V_2=\pi r_2^2h_2

Therefore, you know this:

\frac{V_1}{V_2} =\frac{\pi r_1^2h_1}{\pi r_2^2h_2}

Simplifying, you get:

\frac{V_1}{V_2} =\frac{ r_1^2h_1}{ r_2^2h_2}

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\frac{V_1}{V_2} =\frac{1^2*2}{ 2^2*3}

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\frac{V_1}{V_2} =\frac{2}{ 4*3}\\\\\frac{V_1}{V_2} =\frac{2}{12}\\\\\frac{V_1}{V_2} =\frac{1}{6}

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