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3 years ago

Solve to find the value for x in the linear equation: 3(-4x+5)=12

1 answer:

4 0

3(-4x+5)=12 (Divide by 3 on both sides)
-4x+5=4 (Add -5 to both sides)
-4x=-1 (Divide by -4 on both sides)
x=1/4

Check:
3(-4(1/4)+5)=12
3(-1+5)=12
3(4)=12
So, your final answer is x=1/4

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You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How many milligrams

valentina_108 [34]

Answer:

43.16 mg

Step-by-step explanation:

After each hour, the amount remaining is 100% - 12% = 0.88 times the amount present at the beginning of the hour. Then after 8 hours, the amount remaining will be the initial amount multiplied by 0.88 eight times, or ...

(120 mg)·(0.88^8) ≈ 43.1561 mg ≈ 43.16 mg

_____

Of course, an exponent is used to signify repeated multiplication. You can actually do the multiplication if you like, but most scientific and graphing calculators handle exponentiation easily.

8 0

3 years ago

Mario is paid a salary of $500 plus 8% of sales. Calculate his total income if his sales total $10,890 in the

Gre4nikov [31]

Answer:

His total income is of $1,371.2.

Step-by-step explanation:

His salary is of $500, plus 8% of his sales.

In this question:

Sales of $10,890. So his salary is given by:

$S = 500 + 0.08*10890 = 500 + 871.2 = 1371.2$

His total income is of $1,371.2.

7 0

3 years ago

I shall give the right answer brainliest

Daniel [21]

$\text{Given that,}\\\\\text{Diameter of the Sun} = 1.4\times 10^6 ~ \text{km}\\\\\text{Diameter of Mercury} = 5000 ~ \text{km} = 5 \times 10^3 ~ \text{km}\\\\\text{The ratio,}\\\\(1.4\times 10^6): (5\times 10^3)\\\\=\dfrac{1.4 \times 10^6}{5\times 10^3}\\\\= 0.28 \times 10^3\\\\=2.8 \times10^2$

5 0

3 years ago

Read 2 more answers

Im trying to figure out how to find the length of an equilateral triangle

gulaghasi [49]

All 3 sides of an equilateral triangle are the same.

Set up an equation with two sides equaling each other and solve for n:

2n +15/4 = 7n

Subtract 2n from both sides:

15/4 = 5n

Divide both sides by 5:

n = (15/4) / 5

n = 3/4

Now you have a value for n, replace n and solve for the length:

7n = 7(3/4) = 21/4 = 5 1/4

Each side is 5 1/4

7 0

3 years ago

The output of a plant is 4335 pounds of ball bearings per week (five days). If each ball bearing weighs 0.0113 g, how many ball

Setler79 [48]

Answer:

The plant makes 34,802,178 ball bearings in a single day

Step-by-step explanation:

The total output of a plant in a 5-day week is 4335 pounds

Each ball bearing weighs 0.0113g

We are to calculate the number of ball bearings made per day

First, we ensure both mass are in the same unit

Now 1 pound =453.5924 grams

4335 pounds=453.5924 X 4335 =1966323.054 grams

Number of bearings made in a week therefore

= 1966323.054 /0.0113=174010889.7

≈174010890 (to the nearest whole number)

Since there are 5 days in a week of production,

Daily Production=174010890/5

=34802178

The plant makes 34,802,178 ball bearings in a single da

5 0

3 years ago