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Alexxx [7]
3 years ago
14

the sum of the three numbers is 69. if the second number is equal to the first diminished by 8, and the third number is 5 times

the first. what is the numbers? if x represents the first number, then which of the following equations could be used to solve the problem?
Mathematics
1 answer:
Troyanec [42]3 years ago
4 0
A+b+c=69
a=b+8
b=a-8
c=a/5
a is 11 (3+8= 11 which is a)
b is 3 (11-8=3 which is b)
c is 55. <span>(11 x 5=55 which is c)</span>

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Which expression is equivalent to 64y18 – 1000z6?
natta225 [31]

Answer:

(4y^{6})^{3}-(10z^{2})^{3}

Step-by-step explanation:

we have

64y^{18}-1000z^{6}

we know that

64=4^{3}

y^{18}=(y^{6})^{3}

1000=10^{3}

z^{6}=(z^{2})^{3}

Substitute the values in the expression

(4^{3})((y^{6})^{3})-(10^{3})((z^{2})^{3})

(4y^{6})^{3}-(10z^{2})^{3}

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A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?
Serggg [28]

Answer:

The last one (x,y)->(x+3,y+5)

Step-by-step explanation:

Whenever you move the x coordinate it’s the opposite, for example translated 3 units the the left is +3 and translated 3 units to the right is -3.

Whenever you move the y coordinate it’s normal so up 5 units means +5 and down means -5.

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The ratio of the longer side of a rectangle to its shorter side is 4 to 3. If the shorter side of the rectangle is 21ft, what is
Eduardwww [97]

Answer:

28 ft


Step-by-step explanation:

Let longer side of rectangle be L and the shorter side be  S, thus we can write the ratio:

\frac{L}{S}=\frac{4}{3}


<em>Now putting 21 into S, we solve for L:</em>

\frac{L}{21}=\frac{4}{3}\\3L=4*21\\3L=84\\L=\frac{84}{3}=28


Hence, length of longer side is 28 ft.

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3 years ago
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Suppose that the ages of members in a large billiards league have a known standard deviation of σ = 12 σ=12sigma, equals, 12 yea
asambeis [7]

Answer:

n\geq 23

Step-by-step explanation:

-For a known standard deviation, the sample size for a desired margin of error is calculated using the formula:

n\geq (\frac{z\sigma}{ME})^2

Where:

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We substitute our given values to calculate the sample size:

n\geq (\frac{z\sigma}{ME})^2\\\\\geq (\frac{1.96\times 12}{5})^2\\\\\geq 22.13\approx23

Hence, the smallest desired sample size is 23

3 0
3 years ago
According to the Rational Root Theorem, the following are potential roots of f(x) = 2x2 + 2x – 24.
Andrei [34K]

Answer:

The answer is 3 and (-4).

Step-by-step explanation:

We are given an equation 2x² + 2x – 24.

Let us assume that the equation is equal to zero.

2x² + 2x – 24 = 0

Now, divide whole equation by 2 we get,

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(x – 3) (x + 4) = 0

x = 3, -4

Thus, The actual roots of f(x) are 3 and (-4).

7 0
2 years ago
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