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ch4aika [34]
3 years ago
15

Solve 2(3x-5)-3(6-4x)+(15x+3)

Mathematics
2 answers:
nadya68 [22]3 years ago
5 0

Answer:

33x-25

Step-by-step explanation:

2(3x-5)-3(6-4x)+(15x+3)

6x-10-18+12x+15x+3

21x+12x-10-18+3

=33x-25

NikAS [45]3 years ago
4 0

Answer: 33x - 25

Step-by-step explanation:

2(3x-5)-3(6-4x)+(15x+3)

Step 1: Open the brackets

6x - 10 - 18 + 12x + 15x + 3

Step 2: Combine like terms

6x + 12x +15x -10 -18 + 3

33x - 25

I hope this helps.

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PLEASE HELP
nekit [7.7K]

Answer:

y= -(1/3)x -r

Step-by-step explanation:

a perpendicular line has the slope of the line that it's perpendicular but its the negative reciprocal of it. So for ex: line 1 = 2x then the line perpendicular to it is -1/2x.

In this case, the slope is 3x. The line perpendicular to it therefore, should be -1/3x.

The problem states the line has the same y-intercept so it has to still be -r.

So the equation of the line perpendicular to y=3x-r with the same y-intercept is y=-(1/3)x -r

4 0
3 years ago
the length of a rectangle is 6 meters less than twice the width. The area of the rectangle is 140m². Find the dimensions of the
AveGali [126]

Answer:

Here's what we know:

A = Lw (Area is length times width)

L = 2w + 6 (length is twice the width plus 6)

A = 140 (Area is 140 m2)

Plug in the variable values:

140 = w(2w + 6)

Distribute:

140 = 2w2 + 6w

Subtract 140:

2w2 + 6w - 140 = 0

Factor out a 2:

2(w2 + 3w - 70) = 0

Divide both sides by 2:

w2 + 3w - 70 = 0

(w + m)(w - n)

When we factor out the quadratic, we know it's going to be a +/- situation because the c value in the quadratic is negative, and the two numbers are going to be three away, the plus next to the 3 meaning that the larger number is going to be positive:

(w + 10)(w - 7) = 0

w = -10, 7

We can't have a negative length, so we can toss out the -10, leaving us with w = 7 meters.

L = 2 * 7 + 6

L = 14 + 6

L = 20

Check:

140 = 20 * 7

140 = 140

8 0
2 years ago
Read 2 more answers
A negative number divided by a positive number is:
Verdich [7]

Answer:

When you divide a negative number by a positive number then the quotient is negative.

Step-by-step explanation:

hope this helped

7 0
2 years ago
Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.47 and a standard deviation of 1.5. U
alex41 [277]

Answer:

2.5% of American women have shoe sizes that are greater than 11.47.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8.47

Standard deviation = 1.5

The normal distribution is symmetric, which means that half the measures are below the mean, and half are above the mean.

What percentage of American women have shoe sizes that are greater than 11.47?

11.47 = 8.47 + 2*1.5

This means that 11.47 is two standard deviations above the mean.

Of those measures below the mean, none are greater than 11.47.

Of those measures above the mean, 95% are between the mean and 11.47, and 5% are above. So

0.5*0.05 = 0.025

2.5% of American women have shoe sizes that are greater than 11.47.

8 0
3 years ago
Close Review Print Review
lara31 [8.8K]

Answer:

39 = r-13

Step-by-step explanation:

5 0
3 years ago
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