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n200080 [17]
3 years ago
9

Solve for x. 7(x - 3) = 4(x 5) x = x = x = x = user: which of the following is the solution set of the given equation? (x - 3) -

2(x 6) = -5 {-10} {-4} {8}
Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0
7(x - 3) = 4(x + 5)
7x - 21 = 4x + 20
7x - 4x = 20 + 21
3x = 41
x = 41/3

(x - 3) - 2(x + 6) = -5
x - 3 - 2x - 12 = -5
-3x - 15 = -5
-3x = -5 + 15
-3x = 10
x = -10/3
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Hector has 3/4 hour to spend his homework. He wants to spend 1/3 of this time on math homework, 10 minutes of his time on readin
DENIUS [597]

Answer:

20 minutes

Step-by-step explanation:

Remember that

1\ h=60\ mi

we know that

Hector has 3/4 hour to spend his homework

Convert to minutes

\frac{3}{4}(60)=45\ min

so

1) He wants to spend 1/3 of this time on math homework

To find out the time on math homework, multiply 45 minutes by 1/3

45(\frac{1}{3})=15\ min

2) He wants to spend 10 minutes of his time on reading homework

3) He wants to spend the remaining time on science homework

The time spend on math homework plus the time spend reading homework, plus the time spend on his science homework must be equal to 45 minutes

Let

x ----> the time spend on his science homework

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3 0
2 years ago
Which equivalent is equivalent to 6(3x+4)
kompoz [17]

Answer:

Not a native English speaker, but ig this is what u want:

Step-by-step explanation:

6(3x+4)=15x+24

6 0
3 years ago
Read 2 more answers
Please find the measure of the exterior angle
makvit [3.9K]

Answer:

exterior angles:

144°and 36°

126° and 54°

90° and 90°

Step-by-step explanation:

we know that each angle in a triangle adds up to 180°.

so,

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10x=180

x=180/10

x=18

the interior angles are:

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and explanation is provided to find the exterior angles above.(sorry for the bad handwriting)

6 0
3 years ago
A random variable X follows the uniform distribution with a lower limit of 670 and an upper limit of 750.a. Calculate the mean a
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You can compute both the mean and second moment directly using the density function; in this case, it's

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Then the mean (first moment) is

E[X]=\displaystyle\int_{-\infty}^\infty x\,f_X(x)\,\mathrm dx=\frac1{80}\int_{670}^{750}x\,\mathrm dx=710

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E[X^2]=\displaystyle\int_{-\infty}^\infty x^2\,f_X(x)\,\mathrm dx=\frac1{80}\int_{670}^{750}x^2\,\mathrm dx=\frac{1,513,900}3

The second moment is useful in finding the variance, which is given by

V[X]=E[(X-E[X])^2]=E[X^2]-E[X]^2=\dfrac{1,513,900}3-710^2=\dfrac{1600}3

You get the standard deviation by taking the square root of the variance, and so

\sqrt{V[X]}=\sqrt{\dfrac{1600}3}\approx23.09

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2 years ago
What is the solution of the following system use the elimination method
amm1812

so, x =

-  \frac{3}{2}

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4

Hence, the answer is the first one.

6 0
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