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horrorfan [7]
11 months 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]11 months 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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The x on the bottom will cancel out the x on the top here. 
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Help picture below problem 11
Elden [556K]

Answer:

B) angle B

Step-by-step explanation:

Since the question is telling you that both the triangles are essentially the same, you just have to look to see which letter of triangle ABC is in the same general place as triangle DEF.

In this case angle B is in the same general spot as angle E, so therefore B is your answer.

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6 0
2 years ago
Evaluate the expression
larisa86 [58]

Answer:

12-[20-2(6^2\div3\times2^2)]=88

Step-by-step explanation:

So we have the expression:

12-[20-2(6^2\div3\times2^2)]

Recall the order of operations or PEMDAS:

P: Operations within parentheses must be done first. On a side note, do parentheses before brackets.

E: Within the parentheses, if exponents are present, do them before all other operations.

M/D: Multiplication and division next, whichever comes first.

A/S: Addition and subtraction next, whichever comes first.

(Note: This is how the order of operations is traditionally taught and how it was to me. If this is different for you, I do apologize. However, the answer should be the same.)

Thus, we should do the operations inside the parentheses first. Therefore:

12-[20-2(6^2\div3\times2^2)]

The parentheses is:

(6^2\div3\times2^2)

Square the 6 and the 4:

(36\div3\times4)

Do the operations from left to right. 36 divided by 3 is 12. 12 times 4 is 48:

(36\div3\times4)\\=(12\times4)\\=48

Therefore, the original equation is now:

12-[20-2(6^2\div3\times2^2)]\\=12- [20-2(48)]

Multiply with the brackets:

=12-[20-96]

Subtract with the brackets:

=12-[-76]

Two negatives make a positive. Add:

=12+76=88

Therefore:

12-[20-2(6^2\div3\times2^2)]=88

3 0
3 years ago
A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If the
notsponge [240]

Answer:

<u>The area of the rectangular field is 20,000 square meters.</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of times a person jogged along the rectangular field = 10

Speed of the person jogging = 12 km per hour

Time he/she jogged = 30 minutes = 0.5 hours

Length of the field = twice its width

2. Find the area of the field in square meters.

Step A: Let's calculate the distance the person jogged

Let's recall the formula of the speed:

Speed = Distance/Time

Distance = Speed * Time

Replacing with the values we know:

Distance = 12 * 0.5

<u>Distance = 6 kilometers</u>

Step B: Let's calculate the perimeter of the rectangular field

Distance jogged = ¨Perimeter * 10

6 kilometers = Perimeter * 10

Perimeter = 6/10

<u>Perimeter = 0.6 kilometers = 0.6 * 1,000 = 600 meters</u>

Perimeter = 2 * Length + 2 * Width

x = Width of the rectangular field

2x = Length of the rectangular field

600 = 2 * 2x + 2 * x

600 = 4x + 2x

600 = 6x

<u>x = 600/6 = 100 meters ⇒ 2x = 200 meters</u>

Step C: Let's calculate the area of the rectangular field

Let's recall the formula of the area of a rectangle:

A = Length * Width

A = 200 * 100

<u>A = 20,000 m² (square meters)</u>

7 0
3 years ago
Who is the partial product of 28 and 42
Lana71 [14]

The partial products are: 42 x 28 = (40 + 2) x (20 + 8) = 40 x 20 + 40 x 8 + 2 x 20 + 2 x 8
= 800 + 320 + 40 + 16 Hope this helped.
6 0
3 years ago
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