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3 years ago

Solve 5x – 1 = 3x – 15. Explain each step, and include the Properties of Equality that you used.

Mathematics

1 answer:

artcher [175]3 years ago

7 0

5x – 1 = 3x – 15

Subtraction Property of Equality (Subtract 3x from both sides)

2x - 1 = -15

Addition Property of Equality (Add 1 to both sides)

2x = - 14

Division Property of Equality (Divide both sides by 2)

x = -7

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Which of the following is a statistical question? a.Who is your favorite fantasy author? b.Do you like fantasy novels? c.What is

Dovator [93]

I would say B. or c. but most likely B to make sure you can search up examples of statistical questions.

7 0

3 years ago

Does anyone know the answer to this scale and unit conversion GED math problem? Thank you very much!

aliya0001 [1]

Answer:

Flour $5\dfrac{1}{2}\ c$

Sugar $2\dfrac{2}{3}\ c$

Butter $1\dfrac{1}{2}\ c$

Eggs $2$

Baking powder $7\ t$

Vanilla extract $3\ t$

Step-by-step explanation:

There will be 16 people at the party. Each person will eat 3 cookies, so all people will eat $16\cdot 3=48$ cookies.

Given cookie recipe makes 24 cookies, so to make 48 cookies you need

$48:24=2$ portions.

Thus,

1 portion 2 portions

Flour $2 \dfrac{3}{4}\ c$ $2\dfrac{3}{4}\cdot 2=2\cdot 2+\dfrac{3}{4}\cdot 2=4+\dfrac{3}{2}=4+1 \dfrac{1}{2}=5\dfrac{1}{2}\ c$

Sugar $1\dfrac{1}{3}\ c$ $1\dfrac{1}{3}\cdot 2=1\cdot 2+\dfrac{1}{3}\cdot 2=2+\dfrac{2}{3}=2\dfrac{2}{3}\ c$

Butter $\dfrac{3}{4}\ c$ $\dfrac{3}{4}\cdot 2=\dfrac{3}{2}=1\dfrac{1}{2}\ c$

Eggs $1$ $1\cdot 2=2$

Powder $3\dfrac{1}{2}\ t$ $3\dfrac{1}{2}\cdot 2=3\cdot 2+\dfrac{1}{2}\cdot 2=6+1=7\ t$

Vanilla $1\dfrac{1}{2}\ t$ $1\dfrac{1}{2}\cdot 2=1\cdot 2+\dfrac{1}{2}\cdot 2=2+1=3\ t$

8 0

3 years ago

In 2 years, you want to have $5000 in your savings account. Find the amount you should deposit if the account pays 3% annual int

muminat

The amount you should deposit is $4709.18

Step-by-step explanation:

The formula for compound interest, including principal sum is

$A=P(1+\frac{r}{n})^{nt}$ , where:

A is the future value of the investment/loan, including interest
P is the principal investment amount
r is the annual interest rate in decimal
n is the number of times that interest is compounded per unit t
t is the time the money is invested or borrowed for

∵ You want to have $5000 in your savings account in 2 years

∴ A = 5000

∴ t = 2

∵ The account pays 3% annual interest, compounded monthly

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 12 ⇒ compounded monthly

- Substitute these values in the formula above

∴ $5000=P(1+\frac{0.03}{12})^{(12)(2)}$

∴ $5000=P(1+0.0025)^{24}$

∴ $5000=P(1.0025)^{24}$

- Divide both sides by $(1.0025)^{24}$

∴ P = 4709.18

The amount you should deposit is $4709.18

Learn more:

You can learn more about the compounded interest in brainly.com/question/2514241

#LearnwithBrainly

3 0

3 years ago

mr. and mrs. linx both work for the same company, but they do not have the same hourly wages. Together they make $32.50 per hour

Aliun [14]

Answer:

He would at least made $18.95 dollars per hour

Step-by-step explanation:

You first have to multiply 36.50 to 35, you would get 1137.5. Since the question ask how many he earn each HOUR, you have to divide it 60, which you get 18.95 and other decimal. If it wrong, I'm sorry. I tried my best.

3 0

3 years ago

What is (f + g)(x)? f(x) = -5x + 3 g(x) = -3x? Write your answer as a polynomial or a rational function in simplest form.

ivann1987 [24]

Answer:

- 8x + 3

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= - 5x + 3 + (- 3x)

= - 5x + 3 - 3x ← collect like terms

= - 8x + 3

8 0

2 years ago