All categories

3 years ago

How to do this - 16 = 2 ( 4x + 8 )

Mathematics

1 answer:

Ostrovityanka [42]3 years ago

8 0

Line 2: Distribute
Line 3: Subtract 16 from the right to the left
Line 4: Divide 8 to -32, answer is -4

You might be interested in

Four friends are playing a game. They randomly choose a handful of marbles from a bag. The player with the highest ratio of blue

Monica [59]

We are given the number of Blue and Purple Marbles for each of the four friends. So first we have to find the ratio of blue marbles to purple marbles for each of them.

A) Rosa

Number of blue marbles = 10

Number of purple marbles = 12

Ratio of blue to purple marbles = $\frac{10}{12}=0.833$

B) Chi

Number of blue marbles = 5

Number of purple marbles = 6

Ratio of blue to purple marbles = $\frac{5}{6}=0.833$

C) Alberto

Number of blue marbles = 5

Number of purple marbles = 12

Ratio of blue to purple marbles = $\frac{5}{12}=0.417$

D) Pedro

Number of blue marbles = 10

Number of purple marbles = 6

Ratio of blue to purple marbles = $\frac{10}{6}=1.667$

From the above calculations we can see that Pedro has the highest value of ratio for blue marbles to purple marbles. Also we can see Pedro is the only one for whom the number of blue marbles is more than the number of purple marbles. So this confirms that our calculation is correct.

Thus, the player which gets to go first is Pedro.

4 0

3 years ago

Read 2 more answers

PART B, 50 POINTS IF RIGHT!

AfilCa [17]

Answer:

I believe the correct answer is B! Hope this helped.

6 0

3 years ago

Read 2 more answers

According to a survey, the average American person watches TV for 3 hours per week. To test if the amount of TV in New York City

Neporo4naja [7]

Answer:

Test statistic (t-value) of this one-mean hypothesis test is -2.422.

Step-by-step explanation:

We are given that according to a survey, the average American person watches TV for 3 hours per week. She surveys 19 New Yorkers randomly and asks them about their amount of TV each week, on average. From the data, the sample mean time is 2.5 hours per week, and the sample standard deviation (s) is 0.9 hours.

We have to test if the amount of TV in New York City is less than the national average.

Let Null Hypothesis, $H_0$ : $\mu$ $\leq$ 3 {means that the amount of TV in New York City is less than the national average}

Alternate Hypothesis, $H_1$ : $\mu$ > 3 {means that the amount of TV in New York City is more than the national average}

The test statistics that will be used here is One-sample t-test statistics;

T.S. = $\frac{\bar X - \mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean time = 2.5 hours per week

$s$ = sample standard deviation = 0.09 hours

n = sample size = 19

So, <u>test statistics</u> = $\frac{2.5 - 3}{\frac{0.9}{\sqrt{19} } }$ ~ $t_1_8$

= -2.422

Therefore, the test statistic (t-value) of this one-mean hypothesis test (with σ unknown) is -2.422.

8 0

4 years ago

The instructions for a cough syrup are to give 2 teaspoons (tsp) every 8 hours. the cough syrup is supplied in 150-ml bottles. h

lbvjy [14]

2*3 = 6 teaspoons per day per child
6*5 = 30 teaspoons
30*3 = 90 teaspoons
You need 90 teaspoons

1 teaspoon = 4.9289 mL
90*4.9289 = 443.6010 mL
443.6010 / 150 = 2.9573 bottles

You need at least 3 bottles

3 0

3 years ago

Hey! Can someone please answer this?

Lelechka [254]

This picture should provide a full answer. What I did was rearrange the equation to get Tan(x) on one side, then in order to get rid of the Tan, I used Arctan, which got us the final answer.

7 0

3 years ago

Read 2 more answers