3x + 14 = 20 - 2x. What is x and how to solve it?

4 friends equally share half of a pizza how much of the whole pizza does each friend get

Sedbober [7]

1/2 / 4

The formula = keep, change, flip

Keep 1/2
Change the sign: / to ×
Flip 4 to 1/4

That equals 1/2 × 1/4 = 1/16

Answer = 1/16

Hope this helped☺☺

5 0

2 years ago

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Determine the total annual fica tax for an annual salary of $38,480.

egoroff_w [7]

The annual FICA (Federal Insurance Contributions Act) tax is composed of two parts: Social Security and Medicare Taxes. On the employee's side, he/she has to shoulder 6.2% of the annual salary for the Social Security Tax, and 1.45% of the annual salary for the Medicare Tax. So in total, FICA takes 7.65% of your annual salary as tax. To calculate the FICA tax to be paid, this is shown below:

$38,480 x 7.65% = $2943.72

Therefore, for an annual salary of $38,480, $2943.72 goes into FICA tax payment.

6 0

2 years ago

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Find each probability if a die is rolled.<br> P(divisible by 4)

olga2289 [7]

When a die is rolled, there are six posible results:
1, 2, 3, 4, 5, and 6
Total number of posible results: n=6

Divisible by 4 is only the result 4
Number of favorable results: f=1

P(divisible by 4)=f/n
P(divisible by 4)=1/6
P(divisible by 4)=0.1667
P(divisible by 4)=0.1667*100%
P(divisible by 4)=16.67%

P(divisible by 4)=1/6=0.1667=16.67%

4 0

2 years ago

Ommy Teacher wants to analyze the weights of the students at his school. He knows the weight of the students is normally distrib

marysya [2.9K]

We first determine the z-scores for the given x-values of 64 and 96.
For x = 64: z = (64 - 80) / 8 = -2
For x = 96: z = (96 - 80) / 8 = 2
Therefore we find the probability that -2 < z < 2, which is around 0.95. Therefore, out of 100 students, approximately 100(0.95) = 95 students will weigh between 64 and 96 pounds.

7 0

2 years ago

Kyle drew three line segments with lengths: 2/4 inch 2/3inch, and 2/6 inch list the fractions in order from least to greatest

Sati [7]

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Method 1
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Since the numerators are the same, the smaller the denominators, the greater the fraction is.

Arranging from the least to the greatest
$\dfrac{2}{6} \ , \ \dfrac{2}{4} \ , \ \dfrac{2}{3}$

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Method 2
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Lets change all to the same denominators

$\dfrac{2}{4} = \dfrac{2 \times 3}{4 \times 3} = \dfrac{6}{12}$

$\dfrac{2}{3} = \dfrac{2 \times 4}{3 \times 4} = \dfrac{8}{12}$

$\dfrac{2}{6} = \dfrac{2 \times 2}{6 \times 2} = \dfrac{4}{12}$

Now that all the denominators are the same, we can arrange the fractions by comparing the numerators. The bigger the numerators, the greater the fraction.

Arranging from the least to the greatest
$\dfrac{2}{6} \ , \ \dfrac{2}{4} \ , \ \dfrac{2}{3}$

3 0

2 years ago

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