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Sidana [21]
3 years ago
8

If pr is 3x+14 and qr 7x-10 what is x

Mathematics
1 answer:
mr Goodwill [35]3 years ago
8 0
Start the equation by putting the equations equal to each other 3x+14=7x-10
Next +10 on both sides
3x+14=7x-10
+10 +10
You are left with 3x+24=7x
because the 10's canceled each other out.
Next -3x on both sides
3x+24=7x
-3x +3x

You are left with 24= 10x
because like before the 3's canceled each other out
Now you will divide both sides by 10

24=10x
---- -----
10 10

2.4= X is the answer!
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The sum 4/7+ -1/3 is rational or inrational
lora16 [44]

Answer:

it is rational

Step-by-step explanation:

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The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis
andreyandreev [35.5K]

Answer:

a. Let the variable be x for the fundraising activities and M as the revenue for foundation.

b. M =0.60x

c. $43.2

d. $1416.67

Step-by-step explanation:

Given that:

The World Issues club donates 60% of the total of their fundraising activities.

Answer a.

Let us choose the variable x to represent the money earned during fundraising activities and M for the revenue generated for foundation.

Answer b.

Foundation will receive 60% of the total of the fundraising activities.

Equation to determine the money that will be received by foundation:

M = 60\%\ of\ x\\OR\\M = 0.6x

Answer c.

Given that x = $72, M = ?

Putting the value of x in the equation above:

M = 0.6 \times 72\\\Rightarrow \$43.2

Answer d.

Given that M = $850, x = ?

Putting the value of M in the equation above to find x:

850= 0.6 \times x\\\Rightarrow x = \dfrac{850}{0.6}\\\Rightarrow x = \$ 1416.67

So, the answers are:

a. Let the variable be x for the fundraising activities and M as the revenue for foundation.

b. M =0.60x

c. $43.2

d. $1416.67

5 0
3 years ago
Factor the mn+5m-3n-15
neonofarm [45]
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3 0
3 years ago
Exercise 6.13 presents the results of a poll evaluating support for the health care public option in 2009, reporting that 52% of
sleet_krkn [62]

Answer:

A sample size of 6755 or higher would be appropriate.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error M is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

52% of Independents in the sample opposed the public option.

This means that p = 0.52

If we wanted to estimate this number to within 1% with 90% confidence, what would be an appropriate sample size?

Sample size of size n or higher when M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 1.645\sqrt{\frac{0.52*0.48}{n}}

0.01\sqrt{n} = 0.8218

\sqrt{n} = \frac{0.8218}{0.01}

\sqrt{n} = 82.18

\sqrt{n}^{2} = (82.18)^{2}

n = 6754.2

A sample size of 6755 or higher would be appropriate.

3 0
3 years ago
What is the rate of change y=29/5 x
Hatshy [7]

Answer:

y =  \frac{29}{5} x \\  \frac{y}{x}  =  \frac{29}{5}

<h3>The rate of change is <u>29/5</u>.</h3>

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