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Alex787 [66]
3 years ago
10

-3+3x=-2(x+1) the 2 is a negative please break it down

Mathematics
2 answers:
Veronika [31]3 years ago
7 0
-3+3x=-2(x+1) First: I will get rid of the bracket:


-3+3x=-2x-2

Now, all the x goes to the left side, all the numbers without x to the right side:


3x+2x=-2+3

we add up"

5x=1

divide by 5:

x= \frac{1}{5}

coldgirl [10]3 years ago
5 0
-3 + 3x = -2(x + 1)

First, regroup your terms. / Your problem should look like: 3x - 3 = -2(x + 1)
Second, expand. / Your problem should look like: 3x - 3 = -2x - 2
Third, add 3 to both sides. / Your problem should look like: 3x = -2x - 2 + 3
Fourth, simplify -2x - 2 + 3 to -2x + 1. / Your problem should look like: 3x = -2x + 1
Fifth, add 2x to both sides. / Your problem should look like: 3x + 2x = 1
Sixth, add 3x + 2x to get 5x. / Your problem should look like: 5x = 1
Seventh, divide both sides by 5. / Your problem should look like: x =  \frac{1}{5}

Answer as fraction: x = \frac{1}{5}
Answer as decimal: x = 0.2

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You have decided to invest $1000 in a savings bond that pays 4% interest, compounded semi-annually. What will the bond be worth
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Answer:

$2191.12

Step-by-step explanation:

We are asked to find the value of a bond after 10 years, if you invest $1000 in a savings bond that pays 4% interest, compounded semi-annually.

FV=C_0\times (1+r)^n, where,

C_0=\text{Initial amount},

r = Rate of return in decimal form.

n = Number of periods.

Since interest is compounded semi-annually, so 'n' will be 2 times 10 that is 20.

4\%=\frac{4}{100}=0.04

FV=\$1,000\times (1+0.04)^{20}

FV=\$1,000\times (1.04)^{20}

FV=\$1,000\times 2.1911231430334194

FV=\$2191.1231430334194

FV\approx \$2191.12

Therefore, the bond would be $2191.12 worth in 10 years.

3 0
3 years ago
What is 15% of 60 show your work to prove your answer
Mila [183]
<span>To convert a percentage to a decimal you move the decimal two places to the left. Therefore:

15.% becomes .15

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3 0
3 years ago
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63

Step-by-step explanation:

you deleted my answer because u know u have an attitude

3 0
3 years ago
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What is one possible solution for the triangle below?
elixir [45]
Answer:

segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°

Explanation:

1) Given two side lenghts and one angle you can use sine law:

\frac{sinA}{a} = \frac{sinB}{b} = \frac{sinC}{c}

2) Using the sides with length 43 in and 40in, and the corresponding opposite angles, Z and 68°, that leads to:

\frac{sinZ}{43} = \frac{sin68}{40}

From which you can clear sinZ and get:

sinZ = 43 × sin(68) / 40 = 0.9967

⇒ Z = arcsine(0.9967) ≈ 85.36°


3) The third angle can be determined using 85.36° + 68° + X = 180°

⇒ X = 180° - 85.36° - 68° = 26.64°.

4) Finally, you can apply the law of sine to obtain the last missing length:

\frac{x}{sin(26.64)} = \frac{40}{sin(68)}

From which: x = 40 × sin(26.64°) /  sin(68°) = 19.34 in

The answer, then is:
segment YZ ≈ 19.4 in
angle X ≈ 85.3°
angle Z ≈ 26.7°
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3 years ago
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