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Lapatulllka [165]
3 years ago
13

Mr. Austin is driving 390 miles to visit the Gateway Arch in St. Louis, Missouri. He dries at an average rate of 65 miles per ho

ur. How much time will it take Mr. Austin to get to the arch?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
5 0

Answer:

the time needed to get to the arch is 6 per hour

Step-by-step explanation:

The computation of the time needed to get to the arch is shown below:

As we know that

Speed = distance ÷ time

where,

Speed is 65 miles per hour

And, the distance is 390 miles

So, the time is

= 390 ÷ 65

= 6 per hour

Hence, the time needed to get to the arch is 6 per hour

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

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Randolph is trying to find the equation of a line parallel to y = x − 6 in slope-intercept form that passes through the point (−
bekas [8.4K]
An equation of a line parallel to y=x-6, must have the same slope.

In this equation:
y=mx+b                        (slope-intercept form)
m is the slope:

The slope of the equation y=x-6 is m=1  (the number beside "x").

Now we have a point (-1,5) and the slope m=1.

Point-slope form of a line:
y-y₀=m(x-x₀)
so:
y-5=1(x+1)

answer: the equation of the line in point-slope form is :
y-5=1(x+1)

And the eqution of this line in slope-intercept form is:
y=x+6

y-5=(x+1)
y=x+1+5
y=x+6

6 0
3 years ago
Read 2 more answers
Solve the equation square root of x plus three plus four equals five for the variable. Show each step of your solution process
alekssr [168]

Answer:

x=-2

Step-by-step explanation:

The given expression is

\sqrt{x+3}+4=5

We group the constant terms on the right hand side to obtain;

\sqrt{x+3}=5-4

\Rightarrow \sqrt{x+3}=1

We square both sides of the equation to remove the square root.

\Rightarrow (\sqrt{x+3})^2=1^2

x+3=1

This will simplify to;

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4 0
3 years ago
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State one rational number between -0.45 and -0.46 (answer must be in decimal form.)
seraphim [82]

A rational number between the two given ones is -0.455, such that:

-0.45 > -0.455 > -0.46

<h3>How to find a rational number between the two given ones?</h3>

A rational number is any number that can be written as a quotient between two integer numbers.

Particularly, any number with a finite number of digits after the decimal point is also a rational number.

So to find a rational number between -0.45  and -0.46 we could se:

-0.455, such that:

-0.45 > -0.455 > -0.46

Learn more about rational numbers:

brainly.com/question/12088221

#SPJ1

6 0
1 year ago
If each quadrilateral below is a trapezoid blind the missing measure’s
uysha [10]

Answer:

measure of angle is E is 45 degrees besausw if you look closely then it is a

45,45,90, Triangle and so E is 45 degrees

measure of c = 360-45+79+134 = 102 ° degrees

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A line has slope 5/6 and y-intercept-3
viva [34]

Answer:

The equation would be y = 5/6x - 3

Step-by-step explanation:

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