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jek_recluse [69]
3 years ago
8

The number of paper clips that Crystal has is 42 divided by the number of paper clips that Gayle has. If

Mathematics
1 answer:
Nikolay [14]3 years ago
4 0

Answer:

The number of paper clips that Crystal has is 3 and the number of paper clips that Gayle has is 14

Step-by-step explanation:

Let

x----> the number of paper clips that Crystal has

y --->   the number of paper clips that Gayle has

we know that

y=x+11 ----> equation A

x=42/y ----> equation B

substitute equation A in equation B

x=\frac{42}{x+11} \\ \\x^{2} +11x=42\\ \\x^{2} +11x-42=0

Solve the quadratic equation by graphing

The solution is x=3\ paper\ clips

see the attached figure

Find the value of y

y=3+11=14\ paper\ clips

therefore

The number of paper clips that Crystal has is 3

The number of paper clips that Gayle has is 14

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Answer:

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4 years ago
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Please help! How do I solve this ​
Monica [59]

Answer:

(x,y) --> (-1, -3)

Step-by-step explanation:

Solve by elimination...

2x - 3y = 7

4x + y = -7 (times 3; so -3y and 3y cancel out)

2x - 3y = 7

12x + 3y = -21

2x = 7

12x = -21

add together...

14x = -14

x = -1

plug x into one of the original equations and solve for y...

-2 - 3y =7

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8 0
3 years ago
The minute hand of a clock is 1010 inches long and moves from 12 to 33 ​o'clock. How far does the tip of the minute hand​ move?
kenny6666 [7]

Answer: 2929 π  inch

Step-by-step explanation:

Circumference is given by= 2πr

Here r= 1010 inches

So Tip of minute hand moves= 2π (1010inch)

                                                = 2020 π inch for an hour

Now it comes from 12 to 33 o'clock=  1.45 hour so,

Tip of minute hand moves= 2020 π inch  x 1.45

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3 years ago
What is a formula for the nth term of the given sequence?<br> 36, 24, 16...
SpyIntel [72]

Answer:

The formula to find the nth term of the given sequence is 54 · \frac{2}{3} ^{n}

Step-by-step explanation:

The formula for nth term of an geometric progression is :

a_{n} = \frac{a_{1}(r^{n})}{r}

In this example, we have a_{1} = 36 (the first term in the sequence) and

r = \frac{2}{3} (the rate in which the sequence is changing).

Knowing what the values for r and a_{1} are, now we can solve.

a_{n} = \frac{a_{1}(r^{n})}{r} = \frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} } = 54 · \frac{2}{3} ^{n}

Therefore, the formula to find the nth term of the given sequence is

54 · \frac{2}{3} ^{n}

3 0
3 years ago
a farmer uses 1/3 of his land to plant cassava 3/5 of the remaining land to plant Maize and the rest vegetables if vegetables co
Rzqust [24]

Answer:

37.5 acres.

Step-by-step explanation:

Fraction of his land  where vegetables are grown

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(after taking away 1/3 we get 2/3 and the farmer uses 3/5 of this 2/3 to grow Maize.

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=  1 - 11/15

= 4/15.

4 /15 is equivalent to  10 acres

so  total  area (= 1)  =   10 / 4/15     Invert the 4/15 and multiply:

= 10 * 15/4

=  150/4

= 37.5 acres.

3 0
3 years ago
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