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ICE Princess25 [194]
3 years ago
12

Charlie's weight is nine kilograms greater than his brother's. Together they weigh 99 kilograms. Let x represent the weight of t

he little brother. Which equation can be used to determine what each one weighs?
A) x2 + 9 = 99
B) 2x - 9 = 99
C) 2x + 9 = 99
D) 3x - 9 = 99
Mathematics
1 answer:
spayn [35]3 years ago
4 0
C=x+9, c+x=99, c=99-x

So we have two equations equal to c, c=x+9 and c=99-x, since c=c:

x+9=99-x

2x+9=99

2x=90

x=45, and since c=x+9, c=54

So Charlie weighs 54 kg and his brother weighs 45 kg.
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How can I find X and Y in this diagram?
Nastasia [14]

Given the figure of a cyclic quadrilateral

The sum of the opposite angles = 180

so, we can write the following equations:

\begin{gathered} x+100=180\rightarrow(1) \\ 2y+102=180\rightarrow(2) \end{gathered}

we will find (x) from equation (1):

x = 180 - 100 = 80

We will find (y) from equation (2):

2y = 180 - 102

2y = 78

y=78/2 = 39

So, the answer will be:

x = 80

y = 39

7 0
1 year ago
Tim bought some 25 cent and some 29 cent stamps. He paid 7.60 dollars for 28 stamps. How many of each type of stamp did he buy?
Citrus2011 [14]

Answer:

25 cent stamps = 13 and 29 cent stamps = 15

Step-by-step explanation:

x = 25 cent stamps and y = 29 cent stamps

x + y = 28......x = 28 - y

0.25x + 0.29y = 7.60

0.25(28 - y) + 0.29y = 7.60

7 - 0.25y + 0.29y = 7.60

-0.25y + 0.29y = 7.60 - 7

0.04y = 0.60

y = 0.60 / 0.04

y = 15 <===== 29 cent stamps

x + y = 28

x + 15 = 28

x = 28 - 15

x = 13 <===== 25 cent stamps

lets check it...

0.25x + 0.29y = 7.60

0.25(13) + 0.29(15) = 7.60

3.25 + 4.35 = 7.60

7.60 = 7.60 (correct..it checks out)

8 0
3 years ago
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
Scrat [10]

Answer:

4√(xy³)

Step-by-step explanation:

8√(x²y⁶)

The above expression can be simplified as follow:

8√(x²y⁶)

Recall:

m√a = a^1/m

Therefore,

8√(x²y⁶) = (x²y⁶)^1/8

Recall:

(aⁿ)^1/m = a^(n/m)

Therefore,

(x²y⁶)^1/8 = x^(2/8)•y^(6/8)

= x^1/4•y^3/4

= (xy³)^1/4

Recall :

a^1/m = m√a

Therefore,

(xy³)^1/4 = 4√(xy³)

Therefore,

8√(x²y⁶) = 4√(xy³)

6 0
2 years ago
Read 2 more answers
Let x be a positive integer. If (-3)ºx (-3)* = (-3)14,<br> what is x?
Nezavi [6.7K]

Answer:

-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14 : x = \frac{840}{180^{\circ \:}}

Decimal Form:

x = -267.38030...

Step-by-step explanation:

-3^{\circ \:}x\left(-3\right)=\left(-3\right)\cdot \:14

Remove Parentheses: (-a) = -a

-3^{\circ \:}x\left(-3\right)=-3\cdot \:14

Multiply the numbers: 3 * 14  = 42

-3^{\circ \:}x\left(-3\right)=-42

Divide both sides by: -3^{\circ \:}\left(-3\right)

\frac{-3^{\circ \:}x\left(-3\right)}{-3^{\circ \:}\left(-3\right)}=\frac{-42}{-3^{\circ \:}\left(-3\right)}

Simplify:

x=-\frac{840}{180^{\circ \:}}

Hope I helped. If so, may I get brainliest and a thanks?

Thank you, have a good day! =)

3 0
3 years ago
You and your friend mix water and cirtic acid. You add 3 cups of citrtic acid for every 16 cups of water Your friend adds 2 cups
Vlad [161]

Answer:

A's mixture is more acidic.

Step-by-step explanation:

Given:

Two friends mix water and citric acid.

One (Let A) add 3 cups of citric acid for every 16 cups of water and another (Let B)adds 2 cups of citric acid for every 12 cups of water.

Now, we have to find that whose mixture is more acidic means:-

Solution:

A add 3 cups of citric acid for every 16 cups of water, the ratio = \frac{3}{16}

B adds 2 cups of citric acid for every 12 cups of water = \frac{2}{12}

Now, to find that who mix more citric acid in the mixture, firstly we will equalize the denominator of both fraction by taking LCM so that can be compare easily.

LCM of 16 and 12:- <u>48</u>

16 - 16, 32, <u>48</u>, 64, 80, 96....

12 - 12, 24, 36, <u>48, </u>60, 72.......

For friend A - \frac{3\times3}{16\times3} =\frac{9}{48}

For friend B - \frac{2\times4}{12\times4} =\frac{8}{48}

<em>We found that in terms of 48 cups of water, friend A mixes 9 cups of acid while friend B mixes 8 cups of acid, means A is adding more acid than B and</em> hence friend A's mixture is more acidic.

4 0
3 years ago
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