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juin [17]
3 years ago
7

What is 9a - 3 (2a - 4) = 15

Mathematics
2 answers:
Mariulka [41]3 years ago
8 0
The answer is a=1

Here's the math:

9a-3(2a-4)=15

9a-6a+12=15-------------------------------Distribute the -3 across the parenthesis

3a+12=15-----------------------------------Combine like terms

3a=3----------------------------------------Subtract 12 from both sides

a=1-------------------------------------------Divide 3 from both sides

Hope this helped!! :))
faltersainse [42]3 years ago
5 0
<span>9a + -3(2a + -4) = 15 Reorder the terms: 9a + -3(-4 + 2a) = 15 9a + (-4 * -3 + 2a * -3) = 15 9a + (12 + -6a) = 15 Reorder the terms: 12 + 9a + -6a = 15 Combine like terms: 9a + -6a = 3a 12 + 3a = 15 Solving 12 + 3a = 15 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 3a = 15 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = 15 + -12 3a = 15 + -12 Combine like terms: 15 + -12 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1</span>
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Simplify -2.9f + .9f -12 - 4
Natalka [10]

\huge\text{Hey there!}

\large\text{-2.9f + 0.9f -12 - 4}\\\\\large\text{COMBINE the LIKE TERMS}\\\\\large\text{(-2.9f + 0.9f) + (-12 - 4)}\\\\\large\text{(-2.9f + 0.9f) = \bf{-2f}}\\\\\large\text{(-12 - 4) = \bf{-16}}\\\\\large\text{= \bf{-2f - 16}}\\\\\\\boxed{\boxed{\large\text{Answer: \bf{-2f - 16}}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

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6 0
3 years ago
A study of homeowners in the 5th congressional district in Maryland found that their annual household incomes are normally distr
tino4ka555 [31]

Answer:

The minimum income level for this target group is of $51,253.6.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of $41,182 and a standard deviation of $11,990

This means that \mu = 41182, \sigma = 11990

Find the minimum income level for this target group.

The 100 - 20 = 80th percentile, which is X when Z has a p-value of 0.8, so X when Z = 0.84.

Z = \frac{X - \mu}{\sigma}

0.84 = \frac{X - 41182}{11990}

X - 41182 = 0.84*11990

X = 51253.6

The minimum income level for this target group is of $51,253.6.

4 0
3 years ago
What number 6% of 30
NemiM [27]
6% of 30....turn percent to a decimal..." of " means multiply
0.06(30) = 1.8
6 0
3 years ago
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Ryan bought a sofa on sale for $342. This price was 28% less than the original price.
Snezhnost [94]
The correct answer is $475
5 0
3 years ago
What is the arc measure of an arc with length 4.189 cm and radius equal to 3 cm.'?
Mazyrski [523]
Given that the arc length is 4.189 cm and the radius is 3 cm, the size of the arc will found as follows;
C=theta/360 πd
suppose:
size  of arc=theta=x
d=3*2=6 cm
hence;
4.189=x/360*π*6
4.189=0.0524x
x=4.189/0.0524
x=80.004°
The size of the arc length is 80.004°
6 0
3 years ago
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