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viva [34]
3 years ago
5

The product of two rational numbers is -25/18. If one of the numbers is -3/7, find the other

Mathematics
1 answer:
MissTica3 years ago
5 0
Hello,

-3/7*x=-25/18
==>x=-25/18*(-7/3)
==>x=175/54


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34 degrees 0 i beleive

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Change 53/5 from an improper fraction to a mixed number.
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10.6

Step-by-step explanation:

53/5

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At the market, Ms. Winn bought 3/4 lb of grapes and 5/8 lb of cherries.
wolverine [178]

Answer:

Part a) Ms. Winn bought 12 oz of grapes

Part b) Ms. Winn bought 10 oz of cherries

Part c) Ms. Winn bought 2 oz more of grapes than cherries

Part d) Mr. Phillips bought 6 more ounces of fruit than Ms. Winn

Step-by-step explanation:

Part a) How many ounces of grapes did Ms. Winn buy?

Remember that

1\ lb=16\ oz

To convert lb to oz multiply by 16

we know that

Ms. Winn bought 3/4 lb of grapes

Convert lb to oz

Multiply by 16

\frac{3}{4}\ lb= \frac{3}{4}(16)=12\ oz

therefore

Ms. Winn bought 12 oz of grapes

Part b) How many ounces of cherries did Ms. Winn buy?

Remember that

1\ lb=16\ oz

To convert lb to oz multiply by 16

we know that

Ms. Winn bought 5/8 lb of cherries

Convert lb to oz

Multiply by 16

\frac{5}{8}\ lb= \frac{5}{8}(16)=10\ oz

therefore

Ms. Winn bought 10 oz of cherries

Part c) How many more ounces of grapes than cherries did Ms. Winn buy?

Subtract the ounces of cherries from the ounces of grapes

so

12\ oz-10\ oz=2\ oz

therefore

Ms. Winn bought 2 oz more of grapes than cherries

Part d) If Mr. Phillips bought 1 3/4 pounds of raspberries, who bought more fruit, Ms. Winn or Mr. Phillips? How many ounces more?

Remember that

1\ lb=16\ oz

To convert lb to oz multiply by 16

we know that

Mr. Phillips bought 1 3/4 pounds of raspberries

Convert mixed number to an improper fraction

1\frac{3}{4}\ lb=\frac{1*4+3}{4}=\frac{7}{4}\ lb

Convert lb to oz

Multiply by 16

\frac{7}{4}\ lb= \frac{7}{4}(16)=28\ oz

Remember that

Ms. Winn bought 12 oz of grapes and 10 oz of cherries

In total Ms. Winn bought

12 oz+10 oz=22 oz -----> total ounces of fruit

so

Mr. Phillips bought 28 oz of fruit

Ms. Winn bought 22 oz of fruit

28\ oz > 22\ oz

Find the difference

(28\ oz-22\ oz)=6\ oz

therefore

Mr. Phillips bought 6 more ounces of fruit than Ms. Winn

4 0
3 years ago
Jenny is making tie-dyed shirts for her class with her school colors,blue and yellow.she used a total of 8 ounces of fabric pain
Elodia [21]

<em><u>Question:</u></em>

Jenny is making tie-dyed shirts for her class with her school colors, blue and yellow.  She used a total of 8 ounces of fabric paint. The amount of blue paint is 3 times the  amount of yellow paint.  Make a diagram to show the ratio of blue paint to yellow paint

<em><u>Answer:</u></em>

The ratio of blue paint to yellow paint is 3 : 1

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

Let  "x" be the amount of blue paint in ounces

Let "y" be  the amount of yellow paint in ounces

<em><u>She used a total of 8 ounces of fabric paint</u></em>

Therefore,

x + y = 8 -------- eqn 1

<em><u>The amount of blue paint is 3 times the amount of yellow paint</u></em>

Amount of blue paint = 3 times the amount of yellow paint

x = 3y ------- eqn 2

<em><u>Substitute eqn 2 in eqn 1</u></em>

3y + y = 8

4y = 8

Divide both sides by 4

y = 2

<em><u>Substitute y = 2 in eqn 2</u></em>

x = 3(2)

x = 6

Therefore , the amount of blue paint is 6 ounces and the amount of yellow paint is 2 ounces

<em><u>Find the ratio </u></em>

To find out the ratio of blue paint to yellow paint, divide the amount of blue paint by the amount of yellow paint

\frac{x}{y} = \frac{6}{2} = \frac{3}{1}

Which means, of every 4 parts of paint, three parts are blue and one part is yellow

The diagram is attached below

4 0
3 years ago
Find the arc length (to the nearest inch) of the sector of a circle with a radius 14 inches and a central angle of 0=108°
forsale [732]
Length of arc=angleO/360×2pi×r
=108/360×22/7×14×14
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=66×2×14/10
=1848/10
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4 0
3 years ago
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