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Marianna [84]
3 years ago
8

A car is traveling at a rate of

Mathematics
1 answer:
nata0808 [166]3 years ago
8 0
The first thing you need to do it convert 81 kilometers per hour to per minute. There are 60 minutes in one hour, so you would divide 81 and 60.
81/60=1.35 kilometers per minute

Now that you know how fast the car is traveling per minute, you can easily find how far the car will travel in 15 minutes.
1.35*15= 20.25
The car will travel 20.25 kilometers.

Hope this helps :)
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A parallelogram has one angle that measures 125°. What are the measures of the other three angles in the parallelogram?
tekilochka [14]

Answer:

the other 3 sides are 125,55 and 55 - hope this helped :)

Step-by-step explanation:

side 1 = 125

side 2 = 125

side 3 and 4 = ?

360 - 250 = 110

110/2 = 55

side 3 and 4 = 55

3 0
3 years ago
Solve for y.<br> 3(3y - 6) = 18
AveGali [126]

Answer:

y=4

Step-by-step explanation:

first you that the number outside of the parenthesis and multiply it by the numbers inside 3x3y (ignore the y for right now) and 6x3 now we have          9y-18=18 now we move the 18 so the y is by itself now we have 9y=36 divide both by 9 and you get your answer y=4

5 0
3 years ago
G is in a picture that is 12 inches wide in the middle of a wall that is 29 inches wide how far will the side of the picture be
Vanyuwa [196]

Answer:

The distance of the side of the picture from the edge of the wall is 8.5 inches

Step-by-step explanation:

see the attached figure to better understand the problem

Let

x -----> distance of the side of the picture from the edge of the wall

we know that

The wide of the wall must be equal to the wide of the picture plus two times the distance of the side of the picture from the edge of the wall

so

The linear equation that represent this situation is

2x+12=29

solve for x

2x=29-12\\2x=17\\x=8.5\ in

therefore

The distance of the side of the picture from the edge of the wall is 8.5 inches

3 0
4 years ago
Read 2 more answers
How can graphing methods be used to solve a system of linear equations and how can you determine the equations of the two lines
sergejj [24]
Making graphical representations allow you to plot points and compute for the equation of the line following available derived formula to compute linear formula given two points.

The principal equation is the point-slope formula y=mx+b
Where, m = slope or rate of how the elevation or depression between two reference points.


Say for example you have pt 1 (1,1) and pt 2(0,0)
compute first for slope where m = (y2-y1)/(x2-x1) = (0-1)/(0-1) = 1
Now using point slope formula given p1 (1,1) and slope of m=1

(y-y1)=m(x-x1)
y-1=(1)(x-1)
y=x

4 0
4 years ago
A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The
KonstantinChe [14]

Answer:

Step-by-step explanation:

From the given information:

The null hypothesis is:

H_o: \mu = 8

The alternative hypothesis is:

H_1 : \mu \ne 8

The sample size n = 35

Sample mean = 7.91

variance = 0.03

Standard deviation = \sqrt{0.03}  = 0.173

The t-test statistics is computed as:

t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}

t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}

t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}

t = - 3.0741

Degree of freedom:

df = n - 1

df = 35 - 1

df = 34

Level of significance = 1 - C.I

= 1 - 0.99

= 0.01

The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:

t_{critical} = -2.728 \ and \ 2.728

Decision rule: To reject H_o if  t< -2.728 \ or \ t > 2.728

As t_{statistics} fails the rejection region, we reject H_o

Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.

3 0
3 years ago
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