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adelina 88 [10]
3 years ago
15

Urgent!! Can anyone help me with this step-by-step

Mathematics
1 answer:
ehidna [41]3 years ago
7 0

Answer:

x = 28

Step-by-step explanation:

It gives you the value of the midsegment, which is 16. So you need to set up the equation as:

x + 4 = 2 × 16

You're multiplying 16 (the midsegment) by 2, because the it is <em>half</em> of x + 4, and you need to be able to set both parts of the equation equal to each other.

x + 4 = 32

Then, subtract 4 from both sides:

x + 4 = 32

   -4     -4

_________

This gives you the answer of:

x = 28

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The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5. Which pair of equivalent ratios could be used
AlexFokin [52]

Answer:

<u> 105</u> students could prefer kiwi if there are 357 total students.

Step-by-step explanation:

Given:

The ratio of students who prefer pineapple to students who prefer kiwi is 12 to 5.

Now, to find number of students prefer kiwi if there are 357 total students.

Let the students prefer pineapple be 12x.

And the students prefer kiwi be 5x.

Total students = 357.

So, we set an equation to get the number of students who prefer kiwi.

According to question:

12x+5x=357

17x=357

<em>Dividing both sides by 17 we get:</em>

x=21.

<em>Thus, students prefer kiwi are:</em>

5x

=5\times 21=105.

Therefore, 105 students could prefer kiwi if there are 357 total students.

3 0
3 years ago
Find the equation of the line that passes through the following points. Write the equation in slope-intercept form.
ra1l [238]

Answer:

The equation in the slope-intercept form will be:

y  = 1/4x - 7

Step-by-step explanation:

Given the points

  • (-4.-8)
  • (-8, -9)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-4,\:-8\right),\:\left(x_2,\:y_2\right)=\left(-8,\:-9\right)

m=\frac{-9-\left(-8\right)}{-8-\left(-4\right)}

m=\frac{1}{4}

We know that the slope-intercept of line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m = 1/4 and the point (-4, -8) to find the y-intercept 'b'

y = mx+b

-8 = 1/4(-4)+b

-8 = -1 + b

b = -8+1

b = -7

so the y-intercept = b = -7

substituting m = 1/4 and b = -7 in the slope-intercept form of line equation

y = mx+b

y  = 1/4x + (-7)

y  = 1/4x - 7

Thus, the the equation in slope-intercept form will be:

y  = 1/4x - 7

6 0
3 years ago
To solve the inequality 9x &gt;-4, the inequality sign must be reversed.
Anna35 [415]

Answer:

false

Step-by-step explanation:

you only need to reverse the sign when you are dividing by a negative number

7 0
3 years ago
Read 2 more answers
How do you graph y= -3x + 5
ZanzabumX [31]
You first find its intercepts: the x intercept is (5/3,0) and the y intercept is (0,5) (just plot those points). Then make the line connecting those 2 points!
4 0
3 years ago
Factor to find the zeros of the function:
enyata [817]

Step-by-step explanation:

y = 8x² + 8x - 96

y = 8(x² + x - 12)

y = 8(x + 4)(x - 3)

When y = 0, 8(x + 4)(x - 3) = 0.

=> x = -4 or x = 3. (B)

7 0
3 years ago
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