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3 years ago

6

Merry has twice as many pencils as sue. If X represents the number of pencils Merry has. Write an expression to represent the nu

mber of pencils Sue has.

2 answers:

Rus_ich [418]3 years ago

6 0

Merry has twice as many pencils, so Sue will have half as many. Thus, S=X/2, where S is the amount of Sue's pencils.

Ugo [173]3 years ago

5 0

Let x= Sue x/2. Merry hope this helps

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Raul has 56 bouncy balls. He puts three times as many balls into red bags as he puts into green gift bags. If he puts the same n

Sati [7]

If we divide 56 by 4 we get 14. Why by4? So that one number is 3 times the other So he had 14 balls that went into the green bags and 42 (56-14) that went into the red bags. We could just answer the question and say 14 but I think they want to know how many in each green bag.
14 and 42 don't work because they are not the same number of balls. What number is a common factor? 7 is,
We could have 2 green bags and split the 14 balls into 2 groups of 7 and with the remaining 42 - put them into 6 red bags of 7 each.
And so the answer to your question is:
7 ball in each bag = 2 bags are green, and 6 bags are red
14 balls + 42 balls = 56 bouncy balls

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3 years ago

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Side lengths: 24 in, 30 in, and 36 in

Sonja [21]

Volume of this is 25920 inches cubed

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2 years ago

8. Patrice and Don buy a home for $92,000. The property tax rate is$39.50 per $1,000 of assessed value. The assessment rate is 4

Kaylis [27]

We start by calculating the assessed value, that is 41% of the price.

The price is $92,000.

Then, the assessed value is:

$AV=a\cdot P=\frac{41}{100}\cdot92000=0.41\cdot92000=37720$

The property tax rate is $39.50 per $1000 of assessed value, so we can express this rate as:

$\text{tax rate}=\frac{39.50}{1000}=0.0395$

We then can multiply this rate by the assessed value to calculate the total property tax:

$\text{tax}=0.0395\cdot37720=1489.94$

NOTE: we could have also multiplied 39.50 by 37.72. The value 37.72 is the thousands of dollars of assessed value. We would have obtained the same result: 39.50*37.72=1489.94.

Answer: the property tax is $1,489.94.

3 0

1 year ago

Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor

Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

<u>Solution:</u>

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is $\frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }$

If they work together they can do the entire prospectus in five hours

$\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}$

On cross-multiplication we get,

$\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}$

$\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}$

On cross multiplication ,we get

$\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}$

<em><u>using quadratic formula:-</u></em>

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$x=\frac{12 \pm \sqrt{144-40}}{2}$

$\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}$

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

3 0

3 years ago

What is the Kinetic Energy of a 15 kg object that is moving with a speed of 30 m/s?

crimeas [40]

Answer:

6750J

Step-by-step explanation:

30^2=900 900x15=13500 13500/2=6750

5 0

3 years ago

Read 2 more answers