John travels 16m ^2 +100 miles. /since he can only travel 8m +10 mph, it takes him 2m hours to make the trip. Solve for m

Answers

Answer 1

Answer:

m = 5

Step-by-step explanation:

distance traveled D= 16m^2+100 miles

speed, S= 8m+10 mph

time taken, T = 2m hours

We know that  D = S×T

⇒ 16m^2+100 = (8m+10)× 2m

⇒ 16m^2+100 = 16m^2+ 20m

⇒ 20m = 100

⇒ m = 5

Therefore, the value of m is 5


Related Questions

Would you use the median or mean to describe the center of each data set? Explain your reasoning. Heights of 50 basketball players

Answers

Answer:

Median is used to describe the center of the data of heights of 50 basketball players.

Step-by-step explanation:

The median divides the data into two equal parts.

It can be used to describe the center of the data.

The mean gives the average where most data lies.

The advantages of median are

1)it is located even when the values are not capable of quantitative measurements.

2) It is not affected by extreme values > It can be computed even when a frequency distribution  involves open end classes like those of income and prices.

3) In a highly skewed distribution median is appropriate average to use.

The disadvantages of the mean are

1) it is greatly affected by extreme values.

2) It sometimes gives fallacious conclusions.

3) In a highly skewed distribution mean is  not an appropriate average to use.

4) It cannot be computed even when a frequency distribution  involves open end classes like those of income and prices.

Mr. Smith's class has 28 students. They all put in an equal amount of money to get Mr. Smith an end of year gift. If they collected $168 altogether, how much money did each student give. For each question, define a variable (Let statement), write and solve an equation

Answers

Answer:

Step-by-step explanation:

28 students all give $128

so,

[tex]\sqrt[28]{128}[/tex]= v  v=6

Each student gave 6 dollars. This is true due to the fact that

[tex]\sqrt[28]{128}[/tex]=6

28X6=128

The length of a rectangular swimming pool is exactly three times as long as its width. If the pool has a perimeter of 400m find the width of the pool.

Answers

Answer:

50m

Step-by-step explanation:

let the width be x

length=3x

3x+3x+x+x=400

8x=400

x=400÷8

x=50

Which functions is nonlinear

Answers

Answer:

the 3rd one

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

ABCD is an isosceles trapezoid.
measure of angle B=
measure of angle C=
measure of angle D=

Answers

Answer:

Angle b= angle c =83degree

Angle d =97degree

Step-by-step explanation:

Since isosceles:

Angle b =angle c

Angle a= angle d

Angle d =a=97

Sum of quadrilateral inner degrees:360

(360-2x97)/2=b=c=83

Answer:

Answer:

Angle b= angle c =83degree

Angle d =97degree

Step-by-step explanation:

Since isosceles:

Angle b =angle c

Angle a= angle d

Angle d =a=97

Sum of quadrilateral inner degrees:360

(360-2x97)/2=b=c=83

Step-by-step explanation:

brainliest. please help​

Answers

Could you please take the picture in a better angle can’t see it

A rectangle has a length of y^2+3y+7 and a width of y-3. How much longer is the length?

Answers

Given:

The length of the rectangle = [tex]y^2+3y+7[/tex]

Width of the rectangle = [tex]y-3[/tex]

To find:

How much longer is the length?

Solution:

We need to find the difference between length and width of the rectangle.

[tex]Difference=Length-Width[/tex]

[tex]Difference=y^2+3y+7-(y-3)[/tex]

[tex]Difference=y^2+3y+7-y+3[/tex]

[tex]Difference=y^2+(3y-y)+(7+3)[/tex]

[tex]Difference=y^2+2y+10[/tex]

Therefore, the length of the rectangle is [tex]y^2+2y+10[/tex] much longer than the width.

11. What is the value of x?

A 48
B 30
C 60
D 36

Answers

Answer:

I think it is B

hope this helps

Anna's car requires 5 1/2 gallons of gasoline to make 4 round trips to work and back. If her car can travel 24 miles per gallon of gasoline, how far, in miles is one round trip to work and back?​

Answers

Answer:

33 miles

Step-by-step explanation:

5.5÷4= 1.375 gal per round

1.375×24= 33 miles

Write an equation of a line in slope-intercept form that has a slope of -5 and passes through the point (-3, -4).

Answers

Answer:

y = -5x - 19

Step-by-step explanation:

y = -5x + b

-4 = -5(-3) + b

-4 = 15 + b

-19 = b

list some values that would make this inequality -2x>10

Answers

Answer:

-6,-9,-20,-25.

Step-by-step explanation:

You need to multiply a negative to make it positive as a negative multiplied by a negative equals a positive. But anything besides -1,-2,-3,-4,-5 and all positves can be placed.

find the measure of each interior angle of a regular polygon with the following number of sides 10​

Answers

Answer:

a regular polygon has all angles measure sum up to 360 degrees so each interior angle = sum of alll angles/no.of sides so it is 360/10= 36 degrees hope its clear now

Step-by-step explanation:

2)
A line passes through the points (0.5) and (-6,3). A second line passes through
(-15, 0) and (-21, -2).
A) Do the lines intersect? Show work to prove it! Grcle YES or
NO

Answers

Answer:

Step-by-step explanation:

Find the slope of each line. If the slopes are the same, the lines are parallel. Otherwise, the lines intersect.

Slope of line passing through (x₁, y₁) and (x₂, y₂) = (y₂-y₁)/(x₂-x₁)

Slope of line passing through (0, 5) and (-6, 3) = (3-5)/(-6-0) = ⅓

Slope of line passing through (-15, 0) and (-21, -2) = (-2-9)/(-21-(-2)) = 11/19

The lines intersect.

How to simplify 4(8n+2)

Answers

Answer:

32n +8

Step-by-step explanation:

4(8n + 2)

32n+8

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Answers

Answer:

cylinder radius and height

cone radius height

sphere raduis

Explanation: The formula to find the volume of a cylinder is: \displaystyle V = \pi \cdot r^2 \cdot h, where is the radius of the cylinder and is the height of the cylinder.

plsss helppppp I need it right now plss :(

deadline now until 6:00pm and its 5:30pm here so plsss :(​

Answers

Answer:

a) IJ is median

IJ = 1/2(HG + EF)IJ = 1/2(8 + 12) = 10 cm

b) I is midpoint of HE, therefore, HI = IE

Substitute values and solve for x:

10 = x - 4x = 10 + 4x = 14 cm

Answer:

a) IJ is median

IJ = 1/2(HG + EF)

IJ = 1/2(8 + 12) = 10 cm

b) I is midpoint of HE, therefore, HI = IE

Substitute values and solve for x:

10 = x - 4

x = 10 + 4

x = 14 cm

Step-by-step explanation:


please help!! I’m doing 13 points since it’s sorta tricky!!

Answers

Answer:

c 10

Step-by-step explanation:

2units each and there are five spaces , this 10

Write an explicit formula to represent the sequence:
{8, 11, 16, 23, 32,...}

Answers

hey i’m in a rush but i help this helps you, use math.way and just search up the next term and it’ll give you the formula too

Solve 5x + 2y = 7 10x + 4y = 14 (1 point) (1,1) (2,3) No solution Infinitely many solutions​

Answers

Step-by-step explanation:

if you do 14 divided by 7 gives you 2 am I right

For a party, Tyler gets four different kinds of soda. He buys a 6-pack of each
kind. At home, he divides the sodas evenly among three coolers. How many
sodas are in each cooler?

Answers

Answer:

8 sodas/cooler

Step-by-step explanation:

4 · 6 = 24

24/3 = 8

Just the answer please I need you

Answers

Answer:

A = 33.6 sq units

Step-by-step explanation:

A (trapezoid) = 1/2(4)(14+2) = 2(16) = 32

A (semi-circle) = π(1)/2 = 1.57

I need this Done tonight. Plz help me.

Answers

Answer is 15 miles

This is because:

1 inch- 5 miles

3 inches- 15 miles

3x5=15 miles

Hope this helps!

Solve.
A standard coffee mug has a capacity of 16 fluid ounces.
If Annie needs to fill 10 mugs with coffee, how many total quarts of coffee does she need?
Annie needs
quarts of coffee.

Answers

Answer: Annie needs 13 quarts of coffee

Step-by-step explanation:

1). What are the vertices of the hyperbola whose equation is:


( y + 6 ) ² ( x + 8 ) ²

_____ - _____

81 49


2). What are the foci of the hyperbola whose equation is:


( x - 6 ) ² ( y + 7 ) ²

_____ - _____

16 9



Answers

Answer:

1) The vertices of the hyperbola are (-8, -15), (-8, 3)

2) The foci of the hyperbola are (11, -7) or (1, -7)

Step-by-step explanation:

1) The vertices of a hyperbola given in the form [tex]\dfrac{\left (y - k\right)^2}{a^2} -\dfrac{\left (x - h\right)^2}{b^2} = 1[/tex] is (h, k ± a)

Therefore, for the given hyperbola with the following equation;

[tex]\dfrac{\left (y + 6\right)^2}{81} -\dfrac{\left (x + 8\right)^2}{49} = 1[/tex], we have;

[tex]\dfrac{\left (y + 6\right)^2}{9^2} -\dfrac{\left (x + 8\right)^2}{7^2} = 1[/tex]

Therefore the vertices are;

(-8, -6 ± 9) = (-8, -15), (-8, 3)

2) The equation of the given hyperbola is presented as follows;

[tex]\dfrac{\left (x - 6\right)^2}{16} -\dfrac{\left (y + 7\right)^2}{9} = 1[/tex]

The given hyperbola is of the form;

[tex]\dfrac{\left (x - h\right)^2}{a^2} -\dfrac{\left (y - k\right)^2}{b^2} = 1[/tex]

We get;

[tex]\dfrac{\left (x - 6\right)^2}{4^2} -\dfrac{\left (y + 7\right)^2}{3^2} = 1[/tex]

The foci is then (h ± c, k)

Therefore, by comparison, the foci of the given hyperbola is (6 ± c, -7)

Where c² = a² + b²

∴ c² = 4² + 3² = 25

c = √25 = 5

∴ The foci; (6 ± 5, -7) = (11, -7) or (1, -7).

the number that makes the ratio equivalent to 1:9.
7:

Answers

Answer:

63. so it'll be 7:63

Step-by-step explanation:

1:9

7:x

(we multiplied 1 by 7 to get 7 so multiply 9 by 7)

9*7= 63

You start at (2, 8). You move up 1 unit. Where do you end?​

Answers

Answer:

2,9 should be your answer

Answer:2 Answers By Expert Tutors ... You end at (-2, 1-4+8), which is point (-2,5). ... Moving down and up would indicated that we are moving along the y- ...

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You start at (-4, 2). You move right 8 units and down 4 units ...

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More results from www.wyzant.com

Step-by-step explanation:

What is the slope for a line containing the following points? (-3,5) (3,1)

Answers

Step-by-step explanation:

[tex]y2- y1 \x2 - x1[/tex]

Josh drops his phone from a height of 50 feet. The situation is best modeled by h = -16t^2 +50, where h is the height in feet and t is the time in seconds. How long will it take for the phone to hit the ground? Round to the nearest tenth.

Answers

It will take 2.24 for the phone to hit the ground

It will take approximately 1.8 seconds for the phone to hit the ground.

What is meant by an Equation?

A mathematical statement which includes two sides, namely, left and right hand side consisting of numbers or variables, which are connected by an "equal to" sign is called an equation.

Given in the question that,

Equation representing the situation of the height of the phone in t seconds, is,

h = -16t² + 50

where h is the height in feet and t is the time in seconds.

The phone hits the ground means that the height is 0 there.

Substituting h = 0,

-16t² + 50 = 0

-16t² = -50

t² = 50 / 16

t² = 3.125

t = 1.767 ≈ 1.8 seconds

Hence the time taken is 1.8 seconds to the nearest tenth.

To learn more about Equations, click here :

https://brainly.com/question/29538993

#SPJ2

what is the quadraic formula? i dont know.... plz help!

Answers

Answer:

The quadratic formula is:

-b +/- √b² - 4(a)(c)

           2a

Pretend the underline is a division line.

The square root symbol (√) counts for everything after it, not just b² btw.

Step-by-step explanation:

I know this video is cheesy, but the song helped me memorize it so I didn't have to look it up every time.

https://youtu.be/VOXYMRcWbF8

Step-by-step explanation:

Quadratic Formula :-

[tex]\sf{ x = \dfrac{ - b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]

Which works according to :-

[tex]\rm{ax^2 + bx + c}[/tex]

In case you do not know, this is also called Sridhar Acharya's formula.

Hope it helps :)

If the sum of a number and six is doubled, the result is three less than the number. Find the number.

Answers

Answer:

n = -15

Step-by-step explanation:

Represent the number by n.

Then 2(n + 6) = n - 3

Performing the indicated multiplication, we get:

2n + 12 = n - 3

Combining like terms, we get n = -15

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