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baherus [9]
2 years ago
12

How to roll over cracks when I’m using a penny board? My penny board used to fit me but now it’s a little bit small but still th

e right size. I don’t want to embarrass myself tomorrow when penny boarding and going to school and will give brainliest if you answer :)
Mathematics
1 answer:
luda_lava [24]2 years ago
8 0

Answer:

coconuyts

Step-by-step explanation:

took the test

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Choose the correct option that explains what steps were followed to obtain the system of equations below
Dominik [7]

Answer:

option C is the correct answer

Step-by-step explanation:

System A:                                                  System B:

-x - 2y = 7    ........(1)                               -x - 2y = 7    .......(3)  

5x - 6y = -3  ........(2)                                  -16y= 32  ........(4)

Solution for system A: ( -3, -2)

For option A

Multiply the first equation by 3

3(- x - 2y) = 3(7)         ⇒     - 3x - 6y = 21 ........... (5)

Add equation 2 and 5

  5x - 6y = -3

<u> - 3x - 6y = 21</u>

  2x -12y = 18   ⇒  2( x - 6y ) = 2( 9 )    ⇒   x - 6y = 9

Option A is not equal to equation in system B so now we check option B.

 For option B

Multiply the first equation by -5

-5(- x - 2y) = -5(7)         ⇒    5x + 10y = -35 ........... (6)

Add equation 2 and 6

  5x - 6y = -3

<u>   5x + 10y = -35</u>

  10x + 4y = -38   ⇒   2( 5x + 2y ) = 2(-19)    ⇒  5x + 2y = -19

Option B is not equal to equation in system B so now we check option C.

For option C

Multiply the first equation by 5            

5(- x - 2y) = 5(7)         ⇒   - 5x - 10y = 35 ........... (7)

Add equation 2 and 7

  5x - 6y = -3

<u> - 5x - 10y = 35</u>

    0 - 16y = 32   ⇒   -16y = 32

Option C is equal to equation in system b so now we check if the solution to system B is same as system A.  

Solution to system B:

First, we find value of y from equation 4:

-16y = 32   ⇒    y = \frac{32}{-16}   ⇒    y = -2

Now, we put value of y in equation 3 to find value of x:

-x - 2y = 7  ⇒  -x - 2(-2) = 7   ⇒  -x + 4 = 7   ⇒  -x = 7 - 4  ⇒  -x = 3

multiply both sides by -1

-1 × (-x) = -1 × (3)       ⇒     x = -3

Solution of system B = (-3, -2)

Solution of system B is the same as system A, so option C is correct.

6 0
3 years ago
Read 2 more answers
A flagpole is 20 feet tall. At 4 p.m. it casts a shadow that is 15 feet long. How far is it from the top of the flagpole to the
evablogger [386]

9514 1404 393

Answer:

  25 feet

Step-by-step explanation:

The hypotenuse of the right triangle with legs 15 feet and 20 feet can be found using the Pythagorean theorem:

  h^2 = 20^2 +15^2

  h^2 = 400 +225 = 625

  h = √625 = 25

The distance from the shadow tip to the flag pole tip is 25 feet.

3 0
3 years ago
What is the sale tax for a purchase of $2,500 and what is the cost of an item with a sales tax of $108?
Andrews [41]

Answer:

<em>4.32%</em>

Step-by-step explanation:

Step 1:

To solve this, we must know how to find sales tax first. Let's use this equation:

t = p × r

Let t stand for the total amount of sales tax

Let c stand for the purchase

Let r stand for the sales tax rate.

Step 2:

Now, let us plug in what is given. We know that the purchase made cost $2,500:

t = $2,500 x r

Annddd, we also know that the sales tax is $108:

$108 = $2,500 x r

Therefore, our equation is:

$108 = $2,500 x r

Step 3:

We can simplify this to:

$108 = $2,500r

Step 4:

All we need to do is divide each side by 2500 because the goal is get r all by itself

\frac{108}{2500} =\frac{2500r}{2500}

Step 5:

This gives us:

r = 0.0432

Step 6:

We're not done! Since we are dealing with a percentage, we would multiply .0432 by 100% and that gives us our final answer of


4.32% is our sales tax


5 0
3 years ago
Vill all three students complete a sign at the same time? Explain your
7nadin3 [17]
I think it would be 23 bags without any cookies left over
4 0
2 years ago
Phonics is an instructional method in which children are taught to connect sounds with letters or groups of letters. A sample of
natali 33 [55]

Answer:

98% confidence interval: (29.25,38.87)

Step-by-step explanation:

We are given the following in the question:

Sample mean, \bar{x} = 34.06

Sample size, n = 134

Sample standard deviation, s = 23.83

a) 98% confidence interval

\bar{x} \pm z_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

z_{critical}\text{ at}~\alpha_{0.02} = \pm 2.33  

34.06 \pm 2.33(\frac{23.83}{\sqrt{133}} ) = 34.06 \pm 4.81 = (29.25,38.87)

b)  If a 95% confidence interval were constructed with these data, confidence interval would be narrower as the confidence level is decreasing as compared to 98%

c)  If a sample of 150 students had been studied, the width of confidence interval will decrease as the sample size increases.

8 0
3 years ago
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