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Irina18 [472]
3 years ago
6

Solve for x: |4x + 12| = 16

Mathematics
2 answers:
pentagon [3]3 years ago
4 0
To solve
if you have |a|=b, solve a=b and a=-b

|4x+12|=16
solve
4x+12=16 and 4x+12=-16
minus 12 both sides
4x=4 and 4x=-28
divide both sides by 4
x=1 and x=-7
soldier1979 [14.2K]3 years ago
4 0
X= 1, -7 


find all the solutions for x by breaking down the absolute value into negative and positive pieces or components.
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The team ran
juin [17]

The team ran 2 miles.

Step-by-step explanation:

Step 1; The track is \frac{3}{4} miles long and the team ran 2\frac{2}{3} laps on it. To calculate the distance run we multiply the number of laps ran with the distance on each lap.

Distance run = Number of laps × Distance on each lap.

Step 2; We convert 2\frac{2}{3} from a mixed fraction into an improper fraction. To do this, we multiply the whole number with the denominator of the fraction and add with it the numerator of the same fraction whereas the denominator remains unchanged. To convert the fraction 2\frac{2}{3} = ((2 × 3) + 2) / 3 = \frac{8}{3}.

Distance run = Number of laps × Distance on each lap = \frac{8}{3} × \frac{3}{4} = \frac{8}{4} = 2 miles.

3 0
3 years ago
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4) Express 1697 in Roman figures:<br>​
evablogger [386]

Answer:

\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}

1697 ➳ <u>MDCXCVII</u>

6 0
3 years ago
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Express 0.008 in value words
enot [183]

0.008 = eight thousandths

Hope it helps

6 0
3 years ago
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A study of 12,000 able-bodied male students at the University of Illinois found that their times for the mile run were approxima
den301095 [7]

Answer:

P (y < 6) = \frac{P(y- \mu)}{\sigma}  \mu}{\sigma} \\\\=P(z

Therefore the probability that a randomly selected student has time for mile run is less than 6 minute is 0.0618

Step-by-step explanation:

Normal with mean 6.88 minutes and

a standard deviation of 0.57 minutes.

Choose a student at random from this group and call his time for the mile Y. Find P(Y<6)

\mu = 6.88

\sigma = 0.57

y ≈ normal (μ, σ)

The z score is the value decreased by the mean divided by the standard deviation

P (y < 6) = \frac{P(y- \mu)}{\sigma}  \mu}{\sigma} \\\\=P(z

Therefore the probability that a randomly selected student has time for mile run is less than 6 minute is 0.0618

3 0
3 years ago
Find the area of the figure.<br><br> answer choices:<br> 31 ft², 80 ft², 40 ft², 60 ft²
IrinaVladis [17]

Answer:

60 ft²

Step-by-step explanation:

You can divide the figure into 2 parts.

First, solve for the rectangle: Area of a rectangle = b*h = 4ft x 10ft = 40ft²

Then, solve for the triangle:

Height = 10ft - 5ft = 5ft

Base = 12ft - 4ft = 8ft

Area of a triangle = (b*h)/2 = (5ft x 8ft)/2 = 20ft²

Just add them together: 20ft² + 40ft² = 60ft²

:)

3 0
2 years ago
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