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bogdanovich [222]
3 years ago
9

Use inverse operations to solve each equation.

Mathematics
1 answer:
omeli [17]3 years ago
6 0
1) -2x = 34
The inverse of multiplication is division, so divide both sides by -2.
x = -17

2) y - 3.5 = -2.1
The inverse of subtraction is addition, so add 3.5 to both sides.
y = 1.4

3) 2/3z = -6
The inverse of division is multiplication, so multiply both sides by 3z
2 = -18z
z = -1/9
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100 = 520 + -420
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3 years ago
Find the amount of time. <br> 8. I = $2000, P = $5000, r = 8%
algol [13]

Answer:

t = 5 years

Step-by-step explanation:

I = $ 2000

P = $ 5000

r = 8%

I = P * \frac{r}{100}*t\\\\t =\frac{ I * 100}{P*r}\\\\t =\frac{2000*100}{5000*8}\\\\ = 5

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3 years ago
Explain the distance formula. Then use it to calculate the
Alex777 [14]

Answer:

dAB=10\ units

Step-by-step explanation:

we know that

The <u>distance formula</u> is derived by creating a triangle and using the Pythagorean theorem to find the length of the hypotenuse. The hypotenuse of the triangle is the distance between the two points

The formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(1, 1) and B(7, −7)

Let

(x1,y1)=A(1, 1)

(x2,y2)=B(7, −7)

substitute the given values in the formula

dAB=\sqrt{(-7-1)^{2}+(7-1)^{2}}

dAB=\sqrt{(-8)^{2}+(6)^{2}}

dAB=\sqrt{64+36}

dAB=\sqrt{100}

dAB=10\ units

6 0
2 years ago
Read 2 more answers
Which polynomial identity will prove that 49 − 4 = 45?
Marizza181 [45]
49 is a square of 7 and 4 is a square of 2. To get 45  you need to subtract 7² and 2². Therefore, its the difference of squares. 
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3 years ago
6. Describe how we could conduct a simulation to decide whether a simple random sample from this population could produce a samp
BigorU [14]

Step-by-step explanation:

We have proportion p = 50/100 = 0.50

Probability of success = 1-0.50 = 0.50

To conduct simulation, let's assume experiment is to be done 10 times

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2. We get a random sample and get the size of people who support an against smoking with kids in the car.

3. We repeat this process after drawing sample and also get the number of those in support of ban.

4. After getting n, we find proportion.

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2 years ago
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