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2 years ago

Solve for x in the following problem: 9 = 3/5x

Mathematics

2 answers:

mel-nik [20]2 years ago

7 0

Answer:

x = 15

Step-by-step explanation:

$\sf 9 = \dfrac{3}{5}x\\\\ \text{Multiply both sides by 5},\\\\9*5 = \dfrac{3}{5}*5*x\\\\ 9 *5 = 3x\\\\\text{Divide both sides by 3}\\\\\dfrac{9*5}{3}=x\\\\3*5=x\\\\\boxed{\bf x = 15}$

schepotkina [342]2 years ago

6 0

Answer:

dont know exactly what way ur studying to solve for it rn but heres a simple answer and if theres a diff process yall r using then ermmm sorry bud

x= 1/15

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14% of the town's population is over the age of 65. If there are 320 residents over the age of 65, approximately what is the tow

marshall27 [118]

Answer & Step-by-step explanation:

So if 14% are over 65, and 320 residents are over 65, then we can say that 14% of the town is 320. Then, we can divide by 14 to find 1%, which is 22.857142857 Now we can multiply this by 100 to get 2285.7142857, which is the answer. To double check, you'd just find 14% of 2285.7142857 (multiply by 0.14) which is equal to 320. Because you can't have fractions of people, however, you'd have to round the answer up to 2286 people.

If that is too difficult to understand them hope this is easier

14% of the towns population is 320. Let P denote the towns population.

14/100 * P =320

14P/100 = 320

14P = 32000

divide both sides by 14

P = 2285.71

the towns population is 2286

Hope this helps!

5 0

3 years ago

Solve and check:8a-4=25+6(a-8)

OlgaM077 [116]

8a - 4 = 25 + 6 (a - 8)

(distribute the 6)

8a - 4 = 25 + 6a - 48

(combine like terms 25 - 48)

8a - 4 = 6a - 23

( subtract 6a from both sides)

2a - 4 = -23

(add 4 to both sides)

2a = -19

(divide both sides by 2)

a = - 9.5

////CHECK/////

8 (-9.5) - 4 = 25 + 6 ( -9.5 -8)

(plug each side into a calculator)

-80 = -80

FINAL ANSWER:

a = -9.5

5 0

3 years ago

1. Whats the answer to The function f(2) = 2x+5.

dimulka [17.4K]

Answer:

Step-by-step explanation:

x=2 so...

2*2+5=9

6 0

3 years ago

A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Kar

ch4aika [34]

Answer:

We conclude that the mean waiting time is less than 10 minutes.

Step-by-step explanation:

We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.

Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes.

Let $\mu$ = mean waiting time for bus number 14.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 10 minutes {means that the mean waiting time is more than or equal to 10 minutes}

Alternate Hypothesis, $H_A$ : $\mu$ < 10 minutes {means that the mean waiting time is less than 10 minutes}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

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

where, $\bar X$ = sample mean waiting time = 7.8 minutes

s = sample standard deviation = 2.5 minutes

n = sample of different occasions = 18

So, test statistics = $\frac{7.8-10}{\frac{2.5}{\sqrt{18} } }$ ~ $t_1_7$

= -3.734

The value of t test statistics is -3.734.

Now, at 0.01 significance level the t table gives critical value of -2.567 for left-tailed test.

Since our test statistic is less than the critical value of t as -3.734 < -2.567, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean waiting time is less than 10 minutes.

5 0

3 years ago

What is 1 2/3 minus -5 2/3 as a fraction

Sati [7]

7 1/3 hope this helps!

7 0

3 years ago