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SashulF [63]
2 years ago
12

2. A student usually saves $20 per month. He would like to reach a goal of saving $350 in 12 months. The student writes the equa

tion 350 = 12(x+20) to represent the situation. Solve the equation for x. Show your work or explain your answer. Write your answer as a sentence that describes what the variable x represents. ​
Mathematics
1 answer:
Zigmanuir [339]2 years ago
3 0

Answer:

x = 9.17 (nearest hundredth)

The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.

Step-by-step explanation:

350 = 12(x + 20)

Multiply out brackets:  350 = 12x + 240

Subtract 240 from both sides:  110 = 12x

Divide both sides by 12:  9 1/6 = x

x = 9.17 (nearest hundredth)

The variable x is the amount the student needs to save each month in addition to his usual saved amount of $20.

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Elodia [21]
KANDNSNFNWNDNWNE math.
8 0
3 years ago
GI = 6, HI = 8, DT = 12, what is IE?​<br>a.12<br>b.16<br>c.8<br>d.4
harina [27]

Answer:

Option D

Step-by-step explanation:

By the property of intersecting chords,

If two chords are intersecting at a point inside a circle, product of lengths of the line segments on each chord is equal.

DI × EI = HI × GI

12 × EI = 8 × 6

EI = \frac{48}{12}

EI = 4

Therefore, Option D is the correct option.

5 0
3 years ago
Find S10 for -1 + -7 + -13 + -19
Alex777 [14]
First we find the common difference...to do this we subtract the first term from the second term. -7 - (-1) = -7 + 1 = -6

now we are going to find the 10th term
an = a1 + (n-1)*d <== formula for finding any term in arithmetic series
a1 = 1st term, d = common difference, n = term we want to find
now we sub
a10 = -1 + (10 -1) * -6
a10 = -1 + (9 * -6)
a10 = -1 - 54 
a10 = - 55

now we will find the sum
Sn = (n (a1+ an)) / 2 <== formula for finding the sum 
S10 = (10(-1 - 55))/2
S10 = (10(-56) / 2
S10 = -560/2
S10 = - 280

so the sum of the first 10 numbers is -280

4 0
3 years ago
Find all solutions to the equation (sinx-cosx)^2=1
svetoff [14.1K]

Answer:

x=\dfrac{\pi k}{2},\ k\in Z.

Step-by-step explanation:

Simplify the equation (\sin x-\cos x)^2=1:

\sin^2 x-2\sin x\cos x+\cos ^2x=1,\\ \\ (\sin^2x+\cos^2x)-2\sin x\cos x=1.\\

Since

\sin^2 x+\cos^2 x=1

and

2\sin x\cos x=\sin 2x,

we have

1-\sin 2x=1,\\ \\\sin 2x=0,\\ \\2x=\pi k,\ k\in Z,\\ \\x=\dfrac{\pi k}{2},\ k\in Z.

8 0
3 years ago
Read 2 more answers
Find the value of x.
Svetlanka [38]

Answer:

hi

Step-by-step explanation:

84⁰+103⁰+120⁰=307⁰

360⁰-307⁰=53⁰

x is 53⁰

have a nice day

3 0
3 years ago
Read 2 more answers
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