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3 years ago

5x + 9 = 10x - 9 How do I solve this?

Mathematics

2 answers:

tester [92]3 years ago

8 0

Step-by-step explanation:

10x-5x=9+9 (switching sides, x at one side and number at other side)

5x=18 (calculate)

x=18/5 (division by 5 on both sides)

hope this will help you ❤️

dangina [55]3 years ago

6 0

5x+9 = 10x-9
Take 5x from both sides
9 = 5x-9
Add 9 to both sides
18 = 5x
Divide by 5
3.6=x

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Suppose Burger King has run a major advertising campaign in the hopes of increasing monthly sales. To investigate the effectiven

Alexxandr [17]

Answer:

The right answer is:

a.H0: μd = 0; H1: μd > 0

Step-by-step explanation:

The claim that want to be tested is that the sales were significantly increased after the commercial, indicanting that the advertisement campaign was effective.

This claim is usually expressed in the alternative hypothesis as it has to have enough evidence to prove that it is true.

Then, the alternative hypothesis H1 should state that the difference (sales after - sales before) is higher than 0.

The null hypothesis would state that the difference is not significantly different from 0, or, in other words, that the sales are the same before and after and that the variation is due to pure chance.

Then, the null hypothesis H0 would state that the difference is equal to 0.

The right answer is:

a.H0: μd = 0; H1: μd > 0

4 0

3 years ago

An automotive repair center charges $45 for any part of the first hour of labor, and $25 for any part of each additional hour. W

IceJOKER [234]

The total cost is given by the equation:
C(t) = 45 + 25(h-1) where h is the number of hours worked.

We can check for each option in turn:

Option A:

Inequality 5 < x ≤ 6 means the hour is between 5 hours (not inclusive) to 6 hours (inclusive)
Let's take the number of hours = 5
C(5) = 45 + (5-1)×25 = 145
Let's take the number of hours = 6
Then substitute into C(6) = 45 + (6-1)×25 = 170
We can't take 145 because the value '5' was not inclusive.

Option B:
The inequality is 6 < x ≤ 7
We take number of hours = 6
C(6) = 25(6-1) + 45 = 170
We take number of hours = 7
Then C(7) = 25(7-1) + 45 = 195

Option C:
The inequality is 5 < x ≤ 6
Take the number of hours = 5
C(5) = 25(5-1) + 45 = 145
Take the number of hours = 6
C(6) = 25(6-1) + 45 = 170
We can't take the value 145 as '5' was not inclusive in the range, but we can take 170

Option D:
6 < x ≤ 7
25(6-1) + 45 < C(t) ≤ 25(7-1) + 45
170 < C(t) ≤ 195

Correct answer: C

7 0

3 years ago

-x2 + x-1=0

tia_tia [17]

-x^2 + x-1=0 divide by (-) 

x^2-x+1=0 

x=1/2(+-) root of (1/2)^2-1 

x=1/2(+-) root of (1/4)-1 
 
x=1/2(+-) root of (1/4)-1 

x=1/2(+-) root of (1/4)-((4*1)/4) 

x=1/2(+-) root of (-3/4)

which has not answers, because we can not take a root of negatives numbers

5 0

3 years ago

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What is the approximate length of RP? Round to the nearest tenth.

Nimfa-mama [501]

From the circle geometry theorem, a tangent to a circle makes 90° angles with the radius of the circle.

RQ is perpendicular to QP
Triangle RQP is a right-angled triangle

by Pythagoras theorem

$RP= \sqrt{5.3^{2}+ 3^{2} }=6.1$ units (rounded to one decimal place)

3 0

3 years ago

Find the area of the shaded portion. Show all work for full credit.

andre [41]

Alright, so first of all, you need to find the area of the circle that is part of the cone-shaped area so you can remove it. You need the formula:
$Area = \pi r^{2} ( \frac{c}{360} )$ where c = angle.

Now plug in the answers, and you get:
$A = \pi 6^{2} ( \frac{120}{360} )$ .

This would then equal to $12 \pi$ .

now, essentially, the shape of this ENTIRE area is of 2 right triangles. Divide 120 by 2, you get 60 degrees. You have 2 60/30/90 triangles (shown in the bottom)

Now, what you need to do is to find the area of the entire thing by using the formula to calculate the right triangle area (A = (1/2)bh). You have b, which is 6. To find the h, you use tan(60) = x/6, which gives you $6 \sqrt{3}$ .

The area of one right triangle of this size would be = $18 \sqrt{3}$

Because 2 right triangles, multiply the area by 2 and get: $36 \sqrt{3}$

Now, remember the area of that circle in that total area? subtract it from the total area ( $36 \sqrt{3}$ ) by 12pi and you get 24.65.

The final answer is 24.65

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3 years ago

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