If a train travels 372 miles In
4 hours with a constant speed, how
far did the train travel in one hour?​

Answer:

y = x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (- 8, - 7 ) into the partial equation

- 7 = - 8 + c ⇒ c = - 7 + 8 = 1

y = x + 1 ← equation of line

1. Observe problem

1-(1/8+1/12+1/2)

Make all common denominator

The Least common multiple of 8,12, and 2 is 24

1-((3+2+12)/24)=

1-17/24=

7/24

Therefore, 28 years make up 7/24 of his life.

Simplifying, he grows 4 years for every 1/24 of his life

4 times 24 is 96, so

Fred is 96 currently(that's pretty old)

[tex]\bold{\huge{\pink{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

[tex]\bold{\underline{ To \: Find :- }}[/tex]

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

Let the present age of Fred be x

Therefore,

According to the question,

[tex]\sf{ 1/8x + 1/12x + 1/2x + 28 = x }[/tex]

[tex]\sf{ (3x + 2x + 12x )/24 + 28 = x }[/tex]

[tex]\sf{ 17x/24 + 28 = x }[/tex]

[tex]\sf{ 28 = x - (17/24)x}[/tex]

[tex]\sf{ 28 = 24x - 17x/24 }[/tex]

[tex]\sf{28 = 7x/24 }[/tex]

[tex]\sf{ 28 = 7x/24}[/tex]

[tex]\sf{ 7x = 28 × 24}[/tex]

[tex]\sf{ x = 672/7}[/tex]

[tex]\sf{ x = 96\: years}[/tex]

[tex]\sf{\red{ Hence,\: The\: total\: age\: of\: Fred \:is \: 96\: years }}[/tex]

Answer:

x = 54

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

5x + 6

Step-by-step explanation:

first multiply 1/2 by 10x, that's 5x. then multiply 1/2 by 12, that's 6

Answer:

5x + 6

Step-by-step explanation:

[tex] \frac{1}{2} (10x + 12) \\ = (\frac{1}{2} \times 10x) + (\frac{1}{2} \times 12) \\ = \frac{10x}{2} + \frac{12}{2} \\ = 5x + 6[/tex]

Answer:

x = 1

Step-by-step explanation:

If the value of 2x^3 is 2, then the value of x is 1.

Solution:

2x^3 = 2

x^3 = 2/2 = 1

x = 1.

Answer: x=4 and y=1

Step-by-step explanation:

From the first equation, we get y = 9 - 2x. Substitute this into the second equation we get

3x - 4(9 - 2x) = 8

3x - 36 + 8x = 8

11x = 44

x = 4

y = 9 - 2(4)

y = 1

Hope this helps

Answer:

48 tons of steel per year

Step-by-step explanation:

you can make it a ratio problem but you can also divide it

144 tons : 3 years

? : 1 year

take 144/3 and you get

48 tons

so

48 tons : 1 year

Answer:

Unit rate= 36

Step-by-step explanation:

Divide 144 by 4 and you get 36. So, the steel company made 36 tons of steel in 1 year and made 144 tons of steel in 4 years

Answer:

It's the second option. You have it correct.

Answer:

Step-by-step explanation:

Find 1% of $350:

Find 8% of $350:

Here are the steps

Lets do

[tex]\\ \tt\longmapsto 0.01(350)=3.50[/tex]

Multiply with 8

[tex]\\ \tt\longmapsto 8(3.50)=24.00+4.00=28.00\$[/tex]

Answer: The answer is x=3

Step-by-step explanation:

Let's solve your equation step-by-step.

5x−4=11

Step 1: Add 4 to both sides.

5x−4+4=11+4

5x=15

Step 2: Divide both sides by 5.

5x

5

=

15

5

x=3

Answer:

x=3

Answer:

The answer would be A.

Hope this helped :D

Answer:

It is A

Step-by-step explanation:

Answer:

It's 7.5 in khan academy.

Step-by-step explanation:

[tex]\huge\sf {solution}[/tex]

hence , irene has attempted 8 questions incorrectly

hence , chloe has attempted 13 questions not correctly

Hope it helps ( ╹▽╹ )~

The perimeter of the rectangle is got increased by a factor of 2. The correct option is A.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In rectangle opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at mid-point.

Given

A rectangle has a width of 12.5 m and a length of 105 m.

We know the perimeter of the rectangle is given by

Perimeter = 2 (Lenght + Width)

Let x be the length and y be the width. Then

Perimeter = 2 (x + y)

If the dimensions are multiplied by 2. Then the effect on the perimeter will be

Perimeter = 2 (2x + 2y)

Perimeter = 2 [2 (x + y)]

The perimeter is increased by a factor of 2.

Thus, option A is correct.

More about the rectangle link is given below.

https://brainly.com/question/10046743

Answer:

y = 70x

Step-by-step explanation:

y=70x+100 you would get y = 70x

Answer:

wavelength = speed / frequency

3⋅108 / 2.5⋅1013 = wavelength

wavelength = 1.2⋅10−5 kilometres

hope that helped.

Step-by-step explanation:

wavelength = speed / frequency

3⋅108 / 2.5⋅1013 = wavelength

wavelength = 1.2⋅10−5 kilometres

hope that helped.

Answer:

True

Step-by-step explanation:

39/8 = 4.875

8*4 = 32

Therefore, 39 - 32 = 7

200 divided by 30,000 equals

"0.00666666666"

hope this helps!

Answer: 0.006666667 = 1/150

Step-by-step explanation: Reduce the fraction 200/30,000 to lowest terms by extracting and canceling out 200.

Answer:

Ok. Could I get brainliest??

Step-by-step explanation:

I really need it

Answer:

7?

........... .. .....

Answer:

36 in.

Step-by-step explanation:

The perimeter is the sum of the length of all the sides.

Perimeter of the figure

= 8 +8 +4 +6 +10

= 36 in

Answer:

It is a linear function because there is a constant rate of change in both the input and output values

Step-by-step explanation:

To determine if the function is linear, calculate the differences between the y values.

If the differences are constant, or the same value, the equation is linear and has a constant slope. If the differences are not the same, the equation is not linear.

difference between y values (output)

7 - 4 = 3

3 - 1 = 3

1 - -2 = 3

⇒ the function is linear

difference between x values (input)

-2 - -5 = 3

-5 - -8 = 3

-8 - -11 = 3

⇒ the function is linear as there is a constant rate of change in both the input and output values

Answer:

i think the answer is b

because,

if x+22=90

x=90-22=68

we know that the sum of the three angles of a triangle is 180

so, that means

90+22+68 should be 180

and it is 180, so the answer must be b

The solution is,  the slope of the line that passes through G(−3, 2) and

H(7, 2) is 0.

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

here, we have,

given that,

G(−3, 2) and H(7, 2).

now, we have to find, the slope of the line that passes through G(−3, 2) and H(7, 2).

now, we know that,

Slope = (y2-y1) / (x2-x1)

here,

G(-3,2) = (x1,y1)

H(7,2) = (x2,y2)

Substitute these values to find the slope.

Slope = (2-2)/(7-(-3))

          = 0/10

          = 0

Hence, The solution is,  the slope of the line that passes through G(−3, 2) and  H(7, 2) is 0.

To learn more on slope click:

brainly.com/question/3605446

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