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3 years ago

By car, John traveled from city A to city B in 3 hours. At a rate that was 20 mph

Mathematics

2 answers:

alex41 [277]3 years ago

8 0

60 miles because (20mph)((3hrs) = 60

dlinn [17]3 years ago

5 0

20,or 40. i say 20 because it took the same amount back,but if its asking for the amount in total its 40.

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PLEASE HELP; WILL GIVE BRAINLIEST - GEOMETRY

Ede4ka [16]

If you are trying to simplify 36(pi)/4, then 9(pi) would be what you want because it is the simplest form of that fraction. It also depends on the answer choices. Sometimes they want simplest form and other times they’ll have you leave the fraction as is. Typically simplifying completely is your best bet though.

Hope this helps!

4 0

3 years ago

1). Write an equation of a line with the given slope and y-intercept.

asambeis [7]

Answers:

1) The Equation of a Line is:

$y=mx+b$ (1)

Where:

$m$ is the slope

$b$ is the y-intercept

For this problem we have a given $m=-2$ and a given $b=4$

So, we only have to substitute this values in the equation (1):

$y=-2x+4$

This is option B

2) Here we have to find the slope $m$ and the y-intercept $b$ of this equation:

$y=\frac{1}{5}x-8$

According to the explanation in the first answer related to the equation (1), the slope of this line is:

$m=\frac{1}{5}$

And its y-intercept is:

$b=-8$

This is option C

3) We have to Equations of the Line, and we are asked if these are parallel:

$y=6x+9$ (a)

$27x-3y=-81$ (b)

Equation (b) has to be written in the same form of (a), in the form $y=mx+b$ in order to be able to compare both:

$-3y=-81-27x$

$y=-\frac{1}{3}(-81-27x)$

$y=\frac{81}{3}+\frac{27}{3}x$

$y=9x+27$ (c)

There is a rule that establishes that Two lines are parallel if they have the same slope. In this case, if we compare equations (a) and (c) we find they don’t have the same slope, then they are not parallel.

4) Here we are asked to write $y=\frac{3}{5}x+4$ in a standard form with integers:

$-\frac{3}{5}x+y=4$

Multiply each side by 5:

$5(-\frac{3}{5}x+y)=5(4)$

$5(-\frac{3}{5}x)+5y=20$

$-3x+5y=20$

In this case none of the options apply, please check if the question was written correctly.

5) In this question we are asked to write an equation parallel to:

$y=2x+7$ (2)

That passes through the given point (3,11). (Notice that in the Cartesian plane the points have an x-component and a y-component)

First, remember that two Equations of the line are parallel when they have the same slope. Now that this is clear, we are going to use the equation of the slope with the given point to find the parallel equation:

Equation of the slope:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ (3)

From (2) we know the slope is 2, then we only have to substitute this value and the points in (3):

$2=\frac{y-11}{x-3}$

$2(x-3)=y-11$

$2x-6=y-11$

Finally:

$y=2x+5$

This is option B

4 0

3 years ago

Solve.

UkoKoshka [18]

-4.8x=-4

The simplified fraction is 5/6

How I solved it:

-4.8 = -24/5 in fraction form.

-24/5 × 5/6 = -120/30

-120/30= -4

6 0

2 years ago

Read 2 more answers

A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 53 women ove

matrenka [14]

Answer:

We reject H₀. We accept Hₐ (the cream can improve the the skin of more than 50%

Step-by-step explanation:

We have a proportion one tail test (right)

P₀ = 50 % = 0,5

P = 44/53 = 0.831

sample size = n = 53

Confidence interval = 0,95 α = 0.05 then z(c) = 1.64

1.-Hypothesis

H₀ null hypothesis P₀ = 0.5

Hₐ alternative hypothesis P₀ > 0.5

2.-Compute z(s)

z(s) = ( P - P₀ ) / √P₀Q₀/n ⇒ z(s) = (0.831 - 0.5 )/√0.5*0.5/53

z(s) = 0.3301/0.06

z(s) = 5.5

3.-Compare z(c) and z(s)

z(s) > z(c) 5.5 > 1.64

therefore z(s) is in the rejection region we reject H₀ . And accept Hₐ

8 0

3 years ago

On a coordinate plane, which point lies on the x-axis? A) (0, 10) B) (10, 10) C) (−10, −10) D) (−10, 0)

In-s [12.5K]

Answer:

D.) (-10, 0)

Step-by-step explanation:

(Important:) When you are looking at coordinate points, remember that inside the parenthesis the number on the left (-10 in this case) is the x-coordinate, and the number on the right (0 in this case) is the y-coordinate.

The reason why point D.) is the correct answer, is because when you have your y-coordinate at 0, it must touch the bottom of the y-axis (or line) in order for it to be on the x-axis. But remember that this specific rule only applies now because the y-coordinate is 0. The letter A.) may look correct because it has a 0, but upon placing it on a graph, we notice that it is on the y-axis and not the x-axis.

I have added an attachment of the graph with all points plotted.

I hope that this helps.

5 0

2 years ago