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Liono4ka [1.6K]
3 years ago
10

Which three expenses could money invested in a 529 plan be used for without penalty?

Mathematics
1 answer:
Law Incorporation [45]3 years ago
6 0

Answer:clothes room and board tuition

Step-by-step explanation:

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There are 2,738 students that will travel by bus to a field trip. each bus holds 74 students. how many buses are needed to trans
bulgar [2K]
37 buses
divide 2,734 by 74 and you get 37
3 0
4 years ago
Find the equation of the parallel to the line 3x-2y=5 and passing through the midpoint of the line segment joining the points (-
levacccp [35]

Given:

The equation of parallel line is:

3x-2y=5

The required line passing through the midpoint of the line segment joining the points (-4,2) and (2,4).​

To find:

The equation of required line.

Solution:

Midpoint of  line segment joining the points (-4,2) and (2,4) is:

Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Midpoint=\left(\dfrac{-4+2}{2},\dfrac{2+4}{2}\right)

Midpoint=\left(\dfrac{-2}{2},\dfrac{6}{2}\right)

Midpoint=\left(-1,3\right)

It means the required line passes through the point (-1,3).

The slope of line Ax+By=C is:

m=\dfrac{-A}{B}

The given equation is:

3x-2y=5

Here, A=3 and B=-2. So, the slope of the line is:

m=\dfrac{-3}{-2}

m=1.5

Slope of parallel lines are same. So, the slope of the required line is 1.5.

The required line passes through the point (-1,3) with slope 1.5. So, the equation of the line is:

y-y_1=m(x-x_1)

y-3=1.5(x-(-1))

y-3=1.5(x+1)

y-3=1.5x+1.5

Adding 3 on both sides, we get

y=1.5x+1.5+3

y=1.5x+4.5

Therefore, the equation of the required line is y=1.5x+4.5.

8 0
3 years ago
What is the value of x?
Pani-rosa [81]

Answer:

x=4

Step-by-step explanation:

Length of LJ is 8\sqrt{2}  * sin(30) which is 4\sqrt{2}

Now, in triangle LMJ the both angles are 45 degrees,

so x^{2} +x^{2} =(4\sqrt{2}) ^{2}

2x^{2}  = 2*4^{2}

x=4

7 0
3 years ago
Rewrite in simplest terms. 8(-5d-9) -3(-6d+10)
Gnesinka [82]

Answer:

− 22 d − 102

Step-by-step explanation:

6 0
3 years ago
How many different arrangements can be made with the letters in the word POWER?
ANEK [815]
120 arrangements I think
3 0
4 years ago
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