Herman is traveling 125 miles from his house to the beach by car. Herman plans to stop for lunch when the ratio of the distance he has traveled to the distance he still has to travel is 2:3. What distance will Herman have traveled when he stops for lunch?

Answers

Answer 1

Answer:

250 miles

Step-by-step explanation:

The given distance between the house and the beach is 125 miles.

Let [tex]x[/tex] miles be the distance between the house and the lunch stop.

So, at the time of the lunch stop, he already traveled [tex]x[/tex] miles, the remaining distance is the distance between the lunch stop and the beach.

Let [tex]y[/tex] miles be the remaining distance, so

[tex]y=125-x.[/tex]

Give that the ratio of the distance he has traveled, [tex]x[/tex], to the distance he still has to travel, [tex]y[/tex], is [tex]2:3[/tex],i.e

[tex]x:y=2:3[/tex]

[tex]\Rightarrow \frac x y =\frac 2 3[/tex]

[tex]\Rightarrow \frac {x}{125-x}=\frac 2 3[/tex]

[tex]\Rightarrow 3\times x=2\times(125-x)[/tex]

[tex]\Rightarrow 3\times x=2\times125-2\timesx[/tex]

[tex]\Rightarrow 3 x=250-2x[/tex]

[tex]\Rightarrow 3x-2x=250[/tex]

[tex]\Rightarrow x=250[/tex]

Hence, the distance traveled by Herman when he stops for lunch is 250 miles.


Related Questions

Question 4 fast please

Answers

Answer:

X=-10

Step-by-step explanation:

Collinear points are points on the same line.

Use the equation of gradient to find the gradient. Then use the gradient to find X

[tex]\frac{Y2-Y1}{X2-X1}=Gradient of a slope[/tex]

[tex]\frac{2-(-4)}{3-0}=\frac{2+4}{3}=\frac{6}{3}=2[/tex]

[tex]\frac{x+4}{-3-0}=2[/tex]

Multiply both sides of the equation to get rid of the fraction.

[tex]\frac{x+4}{-3}*-3 =2*-3[/tex]

x+4=-6

x=-6-4

x=-10

–8 ÷ 2 =
answer now and free r

Answers

Answer:

-4

Step-by-step explanation:

I can’t.....help. I’m gay, I don’t understand math.

Answers

Answer:

i cant help i do not know answer

Answer:i-

Step-by-step explanation: good luck

Write as a single exponent.
1. ( 1/10 x 1/10 x 1/10 x 1/10 )^2
2. ( 1/10 x 1/10 x 1/10 )^3
3. ( 10 x 10 x 10 )^-2

Answers

Step-by-step explanation:

1. (1/10 × 1/10 × 1/10 × 1/10)^2

(10^-4)^2

10^-8

2. (1/10 × 1/10 × 1/10)^3

(10^-3)^3

10^-6

3. (10 × 10 × 10)^-2

(10^3)^-2

10^-6

Question

Write as a single exponent.

1. ( 1/10 x 1/10 x 1/10 x 1/10 )^2

2. ( 1/10 x 1/10 x 1/10 )^3

3. ( 10 x 10 x 10 )^-2

Katarina wrote the standard form of a linear equation as 4x – 4 x minus StartFraction 2 Over 3 EndFraction y equals 8.Y = 8. Sofiya told her that the equation was not yet in standard form and gave her the right advice for how to fix it. What advice did Sofiya give to Katarina? Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 24. Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12. Multiply both sides of the equation by 3. The standard form of the equation is 12x – 2y = 8. Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 4.

Answers

Answer:

Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Step-by-step explanation:

Katarina's equation

4x - 2/3y = 8

In order to convert Katrina's linear equation into standard form,

She should find the least common denominator

4x - 2/3y = 8

{4x(3) - 2y(1)} / 3 = 8

(12x - 2y) / 3 = 8

Multiply both sides by 3

(12x - 2y) / 3 × 3 = 8 × 3

12x - 2y = 24

Divide both sides by 2

(12x - 2y) / 2 = 24 / 2

6x - y = 12

The advice sofiya gave Katrina is to Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Answer:

B) Multiply both sides of the equation by 3 and then divide both sides by 2. The standard form of the equation is 6x – y = 12.

Step-by-step explanation:

edg2020

Tell whether each number is divisible by 2, 3, 5, 6, 9, and/or 10.

a. 8,435


b. 981

Answers

Step-by-step explanation:

a. 8,435 is divisible by 5

b. 981 is divisible by 3 and 9

7/8 square foot in 1/4 hour

Answers

Answer:

2 1/2

Step-by-step explanation:

The unit rate for the given parameters is 3 1/2 square feet /hour.

Given that, 7/8 square feet in 1/4 hour.

We need to find the unit rate.

How to find unit rate?

In a unit rate, the denominator is always 1. So, to find the unit rate, divide the denominator with the numerator in a way that the denominator becomes 1.

Now, unit rate = 7/8 ÷ 1/4

=7/8 × 4 =7/2

=3 1/2 square feet /hour

Therefore, the unit rate for the given parameters is 3 1/2 square feet /hour.

To learn more about a unit rate visit:

https://brainly.com/question/11258929.

#SPJ6

Find the midpoint (-4,6) (5,-9)

Answers

The midpoint would be (1/2, -3/2). Hope this helps! Please mark brainliest:)

what is 6g-m/2 if g=4 and m=16

Answers

Answer:

I think the answer would be 16?

Step-by-step explanation:

if you plug in the given numbers that represent each letter it would be 6(4)-16/2 = 24-8= 16

Apocalyptica Corp. pays a constant $18 dividend on its stock. The company will
maintain this dividend for the next 4 years and will then cease paying dividends
forever. If the required return on this stock is 7.78 percent, what is the current share
price?​

Answers

Given :

Apocalyptica Corp. pays a constant $18 dividend on its stock.

The company will  maintain this dividend for the next 4 years and will then cease paying dividends  forever.

To Find :

If the required return on this stock is 7.78 percent, what is the current share

price.

Solution :

Current price ( After 4 hours ) :

[tex]C.P = 18[\dfrac{1}{(1+0.10)^1}+\dfrac{1}{(1+0.10)^2}+\dfrac{1}{(1+0.10)^3}+\dfrac{1}{(1+0.10)^4}]\\\\C.P=\$57.058[/tex]

Therefore, current share  price is $57.058 .

Hence, this is the required solution.

Easy 1 through 3 ! 17 points

Answers

1. (1.) -24, (2.) 6, (3.) -3

2. Positive

3. Difference = Subtraction

Product = Multiplication

Quotient = Division

A farm processes 6,000 gallons of milk every hour. Which equation represents the amount of milk, y, that the farm processes in x hours?
A. y=6,000+x
B. y=x6,000
C. y=6,000x
D. y=6,000x

Answers

y = 6000x is correct.
C is the answer to that problem

The ratio of pink rose to yellow roses in a flower arrangement is 5:3. If there are 15 yellow roses, then how many total flowers are in the arrangement?

Answers

Answer:

bat ang pogi ko hahahaha

1. Which graphs could represent a proportional relationship?

A. A
B. B
C. C
D. D

Answers

Answer:

a

Step-by-step explanation:

proportional relationship start from the origin (0,0)

they also have a line that goes upwards in an even relationship

they also can make points

follows the slope

The answer is to your question is A

can someone help me figure this out ?

Answers

Answer: AAS

Step-by-step explanation:

Lets call the intersection point between AC and DE F.

I think he meant the two triangles AFE and DFC.

We know angle A is congruent to angle D.

We also know AE is congruent to DC.

There is also a hidden piece of evidence which is AFE is congruent to DFC due to vertical angles.

We know two angles and 1 side, so we can use AAS to figure out that the two smaller triangles are congruent.

Which of the following is square root of 0.000081?

(A) 0.9

(B) 0.09

(C) 0.009

(D) 9

Find the value of square root of 64/225?

(A) 8/17

(B) 8/15

(C) 13/8

(D) 8/11

Which number is not a perfect square?

(A) 4

(B) 9

(C) 111

(D) 81

Which of the following is square root of 1/25?

(A) 1/2

(B) 1/3

(C) 1/4

(D) 1/5

What is square root of 36/49?

(A) 3/4

(B) 6/7

(C) 7/6

(D) 5/8

What is square root of 36/121?

(A) 6/11

(B) 3/5

(C) 2/3

(D) 6/121

Answers

Answer:

1. C) 0.009

2. B) 8/15

3. C) 111

4. D) 1/5

5. B) 6/7

6. A) 6/11

Hope this helps and have a nice day.

In a sports competition, Alyssa was penalized -16 points. She received the same number of penalty points in each of the 4 events. How many points was she penalized each event?

Answers

Answer:

-64

Step-by-step explanation:

multiply -16 by 4 to get the total of -64

10. Points D, E, and F are non-collinear. How many lines can be drawn that pass through F and are perpendicular
to DE ? Use a diagram to illustrate your answer.

Answers

Given:

Points D, E, and F are non-collinear.

To find:

Number of lines that pass through F and are perpendicular  to DE.

Solution:

Points D, E, and F are non-collinear. It means points D, E and F are not lie on a  single straight line.

We know that, the number of perpendicular lines on a line from a particular point is 1.

So, number of lines that pass through F and are perpendicular  to DE is 1 as shown in the below figure.

Which inequalities are true? Check all that apply.

Answers

Answer:

1,2,3, and 5

Step-by-step explanation:

I plugged them all into a calculator

If the measure of angle 1=4x-3 and the measure of angle 2=3x+8, find the value of x so that the measure of angle 1 is supplementary to the measure of angle 2.​

Answers

Answer:

hujikmnjhu

Step-by-step explanation:

egyiru9epojgtur9iokejrue


What is an equation of the line that passes through the point (-6, -7) and is
perpendicular to the line 6x + 5y = 30?

Answers

Answer:

Step-by-step explanation:

Product of slope of perpendicular lines = -1

6x + 5y = 30

Write this equation in y = mx + b  form

        5y = -6x + 30

          y = [tex]\frac{-6}{5}x+\frac{30}{5}[/tex]

          [tex]y=\frac{-6}{5}x + 6[/tex]

Slope of this line m₁ = -6/5

m₁ * m₂ = -1

      m₂ = -1÷m₁ = -1 * [tex]\frac{5}{-6}[/tex]  

[tex]m_{2}=\frac{5}{6}[/tex]     & (-6 , -7)

Equation of the required line: y - y₁ = m (x - x₁)

[tex]y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2[/tex]

Identify the domain and range of each relation
whether the relation is a function.
1. {(3, 6), (5,7), (7.7) (8. 9)}

Answers

domain is all the x values so 3,5,7,8
and the range is all the y values so 6,7,9 (don’t repeat numbers)
yes it’s a function because the x values dont repeat

Write an expression equivalent to -4(-6m - 7).

Answers

Answer: 24m+28

Step-by-step explanation:

Distribute the negative four among the two terms.

Answer:

[tex](12*2)m+(-56/-2)[/tex]

I hope this helped :)

PLease help me(: !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

should be 65

Step-by-step explanation:

if not then hmu

What is the value of x in the equation -6x-5x+22?
-22
-2
2
22
What is the answer

Answers

Answer:

theres no answer

Step-by-step explanation:

is there more?

If m ZAEB = 88°, find m2AED.

Answers

The correct answer is C.

Step-by-step explanation:

Hey there!

Here;

Given is; angle AEB = 88°

angle AEB + angle AED = 180° { being linear pair}

88° + angle AED = 180°

angle AED = 180° - 88°

Therefore, angle AED = 92°

Therefore, answer is Option C.

Hope it helps...

What is an equation of the line that passes through the points (3,3) and (-2,6)
F.y=-3/5x + 24/5
G.y=-3/5x - 24/5
H.y=3/5x + 24/5
J.y=3/5x - 24/5

Answers

Answer:

F

Step-by-step explanation:

x - x1/ x2-x1= y - y1/ y2 -y1

x - 3 / -2 -3= y -3/6-3

x-3/-5=y-3/3

3(x-3)= -5(y-3)

3x-9= -5y +15

5y = -3x +24

y= -3x/5 +24/5

Need help with this algebra problem 15 points will give brainiest if right

Answers

Answer:

b is the lowest and d is the highest y axis

Step-by-step explanation:

Hugo began his science experiment with 22 grams of sugar crystals. During the experiment, the change in the mass of the sugar crystals was

6 grams.
What is the final mass of the sugar crystals?

Answers

Answer:

its actually 16

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures The longest side of the drawing measures The longest side of the actual triangular piece to be sculpted must be long. How long will the shortest side of this piece​ be?

Answers

Answer:

3.71 m

Step-by-step explanation:

Here is the complete question.

A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures 7 cm. The longest side of the drawing measures 20 cm. The longest side of the actual triangular piece to be sculpted must be 10.6 m long. How long will the shortest side of this piece​ be?

Solution

This is a scale drawing question.

Since scale = Scaled size/Actual size, we need to find the scale ratio of the triangle.

Now, the longest side of the drawing measures 20 cm which is equal to the scaled size and the longest side of the actual triangular piece to be sculpted is 10.6 m long which is the actual size.

So, scale = 20 cm/10.6 m

= 0.2/10.6

= 1/53.

Since in the scale drawing, the shortest side of the triangular piece to be made measures 7 cm, this is the scaled size, so the actual size of the shortest side is gotten from

scale = Scaled size/Actual size.

So,

Actual size = Scaled size/scale

= 7 cm ÷ 1/53

= 53 ×7 cm

= 371 cm

= 3.71 m

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