Kaley's family drove to DisneyLand for spring break. Her mom and dad shared the driving duties for a total of 24 hours. Her mom drove 75 miles per hour, and her dad drove 60 miles per hour. If they drove a total of 1,710 miles, how many hours did each person drive for?

Answers

Answer 1

Answer:

Mom drove for 18 hours.

Dad drove for 6 hours.

Step-by-step explanation:

Given that:

Number of hours for the driving duty = 24 hours

Speed at which the mom drove = 75 miles per hour

Speed at which the dad drove = 60 miles per hour

Total distance driven by both of them = 1710 miles

To find:

Number of hours for which each person drive for ?

Solution:

Let number of hours driven by dad = [tex]x[/tex] hours

Let number of hours driven by mom =  (24 - [tex]x[/tex]) hours

Let us have a look at the formula for Distance in terms of Speed and Time.

[tex]Distance = Speed \times Time[/tex]

Distance traveled by Mom = [tex]75 \times x =75x \ miles[/tex]

Distance traveled by dad = [tex]60(24-x) =144-60x[/tex] miles

As per question statement:

[tex]75x+1440-60x=1710\\\Rightarrow 15x=1710-1440\\\Rightarrow 15x = 270\\\Rightarrow x = 18\ hours[/tex]

So, Mom drove for 18 hours.

Dad drove for 6 hours.


Related Questions

PLEASE HELP I AM BEING TIMED!!

Find the sum of the measure of the interior angles for the following regular polygon?

A: 1440
B:2340
C:2160
D:1080

Answers

Answer:

1080 is the answer.

Step-by-step explanation:

Solve the system of equations 2x + 2y = 6 and 2y - x = 12 using any method.

Answers

2y + 2x = 6
2y - x = 12
Subtract
3x = -6, x = -2
2(-2) + 2y = 6
-4 + 2y = 6
2y = 10, y = 5
Final solution: x = -2, y = 5

Answer:

Step-by-step explanation:

2x + 2y = 6

-2x + 4y = 24

6y = 30

y = 5

10 - x = 12

-x = 2

x = -2

(-2, 5)

omg pls help its proving the sum of the interior angle measures of a triangle is 180

Answers

Answer:

60

Step-by-step explanation:

all angles in a triangle measures 180°

THE ANSWER IS 60 that is the correct answer

Which expression is equivalent to 4(7c+3)+5?

A. 11c+7+5
B. 28c+7+5
C. 28c+12+5
D. 28c+12+20

Answers

Answer:

C

Step-by-step explanation:

28c +12 +5 which is the answer choice C

What’s the equation?

Answers

The answer is option 2 because if you were to plug in both values for m, you would exactly get the corresponding value for c.

What is the x-intercept of the graph that is shown below?
(-2,0)
(-1,2)
(0,4)
(4,0)

Answers

The X intercept would be (-2, 0)
(-2,0)
X,Y
X will always be the number of the horizontal line and Y always on vertical

During the school day, you spend 2 hours in math, 1 hours in science, 2 hours in ELA and 1 hour in art and 2 hours at a friends house studying for your math tests. What percent of the time do you spend at your friend's house studying for your math tests?

Answers

Answer:

Step-by-step explanation:

More than two hours of homework may be counterproductive, research suggests. GSE scholar Denise Pope finds that students in high-achieving schools who spend too much time on homework experience more stress and health problems. ... Students in these schools average about 3.1 hours of homework each night

What is the y-intercept of the equation?

Answers

Answer:

5

Step-by-step explanation:

Y=-3x+5

the y-intercept would be 5

Alaska is -3 degrees, lowa is 5 degrees, Idaho is - 7 degrees, New York is 9 degrees, and
Maine is -1. Which state has the coldest temperature?

Answers

Answer:

Idaho

Step-by-step explanation:

Enter the equation of the line in slope-intercept form.

The line perpendicular to y = −2x that passes through (0, 0).

The equation of the line that passes through (0, 0) is y = .

Answers

Answer:

The equation is;

y = x/2

Step-by-step explanation:

General form of the equation of a straight line is;

y = mx + c

where m slope

For the given equation , the slope is -2

If two lines are perpendicular, then the product of their slopes is -1

So the slope of the second line will be

-2 * m2 = -1

m2 = -1/-2

m2 = 1/2

Using the point-slope form, we have

y-y1 = m(x-x1)

Here (x1,y1) = (0,0)

y-0 = 1/2(x-0)

y = 1/2x or simply

y = x/2

Given points (-2.3) and (9.3), which expression can be used to find the distance between the two points?
191 +31
191-1-21
1-21+131
1-2 + 191

Answers

Answer:

d

Step-by-step explanation:

equalitivietion form akk absolute vaules.

What is the equation in slope intercept form of the line that passes through the point (2,2) and is perpendicular to the line represented by y=2/5x + 2

Answers

Answer:

y=

Step-by-step explanation:

Perpendicular means opposite reciprocal of the slope. This means that the slope would change from 2/5 to 5/2 and add a negative, so it is -5/2.

y=-5/2x+b

2=-5/2 (2) +b

7=b

y=-5/2x+7

Heeeelp plz I really need help fast!!

Answers

Answer:

D E F

Step-by-step explanation:

Have a good day :)

Answer is C 21/24 and 10/24
Answer is E 42/48 and 20/48
Answer is F 84/96 and 40/96

b. For
y = 6x + (-2),
what is y when
X=-1

Answers

Answer:

y=-8

Step-by-step explanation:

y=6x+(-2)

y=6(-1)+(-2)

y=-6+(-2)

y=-8

Hope this helps !! If you got any questions about it lmk

The table below shows the scores on a math test. David 75 Aaron 75 Ashley 60 Gina 75 Andrew 75 Kei 95 Monica 100 Anna 60 Lucas 75 Jennifer 65 The number of standard deviations between a score and the mean score is indicated by a z-score. What was Ashley's z-score on the math test?
a. 1.1
c. -1.1
b. 60
d. -15.5​

Answers

Answer: c

Step-by-step explanation: good luck everyone

Ashley's z-score for the given table is -1.2.

What is z-score?

''A z-score describes the position of a raw score in terms of its distance from the mean, when measured in standard deviation units. The z-score is positive if the value lies above the mean, and negative if it lies below the mean.''

From the given table, we can calculate the mean, median, mode and standard deviation.

Therefore, mean = (75 + 60 + 75 + 100 + 75 + 75 + 75 + 95 + 60 + 65) ÷ 10

= 75.5

Median = middle term when scores are arranged in ascending order

= middle term of {60, 60, 65, 75, 75, 75, 75, 75, 95, 100}

= 75

Mode = number that occurs highest in {60, 60, 65, 75, 75, 75, 75, 75, 95, 100} = 75.

Standard deviation = [tex][\sqrt{(x_1-x)^{2}+(x_2-x)^{2}+........+(x_n-x)^{2}]/n[/tex]

=  [tex][\sqrt{(75-75.5)^{2}+(60-75.5)^{2}+........+(65-75.5)^{2}]/10[/tex]

= [tex]\sqrt{157.25}[/tex]

=12.54

Therefore, Ashley's Z-score = (Ashley's score - Mean)/ Standard Deviation

= (60 - 75.5)/12.54 = -1.2

Learn more about z-score here: https://brainly.com/question/17756962

#SPJ2

Percy's Pizzeria made 4 pizzas with pepperoni and 59 pizzas without pepperoni. What is the ratio of the number of pizzas with pepperoni to the number of pizzas without pepperoni? I had got 15/59 i wanna know if it is correct.

Answers

Answer:

4 : 59

Step-by-step explanation:

Close. But good try

So what is "ratio?"

Well seems like you got 15/59 i think you meant 15:59 right? ratio has a : in it.

But, you see there is only 4 pizzas with pepperoni in it so actually it should be

4 : 59

Good attempt anyways Trying is always better than nothing.

Please help me out!!

Answers

Answer: C or B

Step-by-step explanation:

Answer:

its the first answer

Step-by-step explanation:

I have 14 Baseballs in 23 tennis balls and some boxes of baseballs with 12 baseball and I have the equal amount of boxes of tennis balls and 16 ball write an expression to represent the total number of balls

Answers

Answer:

The answer is below

Step-by-step explanation:

I have 14 Baseballs in 23 tennis balls. I bought some boxes of baseballs with 12 baseball to a box and equal amount of boxes of tennis balls with 16 balls to a box. write an expression to represent the total number of balls

Solution:

Let n represent the number of boxes of each type.

Given, the number of boxes of tennis = number of boxes of baseball, hence:

n = number of boxes of tennis = number of boxes of baseball.

Already I have 14 baseball and I bought boxes of baseballs with 12 baseball to a box, therefore:

Number of baseballs = 14 + 12n

I have 23 tennis ball and I bought boxes of tennis balls with 16 baseball to a box, therefore:

Number of tennis balls = 23 + 16n

Total number of balls = number of baseballs + number of tennis balls

Total number of balls = (14 + 12n) + (23 + 16n) = 14 + 23 + 12n + 16n = 37 + 28n

Total number of balls = 37 + 28n

PLZ HELP! NO FAKE ANSWER PLEASE!!!!!! PLEASE AND THANK YOU MARRY CHRISTMAS!

Answers

Answer:

1. m=1/2

2. x=4/7

3. t=4

4. y=5

Step-by-step explanation:

1. 5m+4=7m+6

5m-7m=6-5

2m=1

m=1/2

2. -5x+3=2x-1

-5x-2x=-1-3

-7x=-4

x= -4/-7= 4/7

3. 5t-3=3t+5

5t-3t=5+3

2t=8

t=8/2= 4

4. 53y-55= 42y

53y-42y=55

11y=55

y=55/11=5

hope it helps!

Answer:

1. 5m+4=7m+6

Step 1: Subtract 7m from both sides.

5m+4−7m=7m+6−7m

−2m+4=6

Step 2: Subtract 4 from both sides.

−2m+4−4=6−4

−2m=2

Step 3: Divide both sides by -2.

[tex]\frac{-2m}{-2} = \frac{-2}{2}[/tex]

m=−1

_______________________________

2.  −5x+3=2x−1

Subtract 2x from both sides.

−5x+3−2x=−1

Combine −5x and −2x to get −7x.

−7x+3=−1

Subtract 3 from both sides.

−7x=−1−3

Subtract 3 from −1 to get −4.

−7x=−4

Divide both sides by −7.

x= [tex]\frac{-4}{-7}[/tex]

[tex]Faction \frac{-4}{-7}[/tex] can be simplified to [tex]\frac{4}{7}[/tex] by removing the negative sign from both the numerator and the denominator.

x= [tex]\frac{4}{7}[/tex]

_____________________________

3. 5t−3=3t+5

Subtract 3t from both sides.

5t−3−3t=5

Combine 5t and −3t to get 2t.

2t−3=5

Add 3 to both sides.

2t=5+3

Add 5 and 3 to get 8.

2t=8

Divide both sides by 2.

t= [tex]\frac{8}{2}[/tex]

Divide 8 by 2 to get 4.

t= 4

___________________________

4. 3y−55=42y

Subtract 42y from both sides.

53y−55−42y=0

Combine 53y and −42y to get 11y.

11y−55=0

Add 55 to both sides. Anything plus zero gives itself.

11y=55

Divide both sides by 11

y= [tex]\frac{55}{11}[/tex]

Divide 55 by 11 to get 5.

y=5

Plz help i really need the answer for this question: If I bought a pair of shoes that were on sale for $49.95 from $79.95, what was my coupon percentage? What would the total price be with tax of 8.75%?

Answers

With the tax it would be :50.03
And the percentage would be :60%

Which expression is equivalent to -3(4x - 0.50)?

A. -12x - 1.50
B. -12x + 1.50
C. -12x - 2.50
D. -12x - 3.50

Answers

Answer:

It's the B

Step-by-step explanation:

Multiply - 3 by 4x = - 12x

Multiply - 3 by - 0.5 = 1.5

Hope this helps, have a good day


ten more than two times a number is fourteen more than negative four times a number. Find the number

Answers

Answer:

4/6 or as a decimal 0.666

Step-by-step explanation:

Convert to numbers and letters. 10 + 2n = -4n + 14

Move the like terms to their side: 6n = 4

Divide by 6: n = 4/6 or as a decimal 0.6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666

Solve the inequality 6.2n < 2n + 8.4​

Answers

Answer:

n<2

Step-by-step explanation:

6.2n<2n+8.4

Move variable to the left hand side and change its sign

6.2n - 2n < 8.4

Combine like terms

4.2n < 8.4

divide both side by 4.2

n < 2

A car covers a distance of 600 m in 2 minutes whereas a train covers a distance of 75 km in 50 minutes. Find the ratio of their speed.​

Answers

answer

1:5

Step-by-step explanation:

To find speed use the formula

speed=distance/time

The car's speed is 600m ÷2mins(120secs)

(600÷120)

5m/s

The trains speed will be

speed=distance/time

=75÷50mins(5/6hrs)

=90km/hr

Ratio of their speed should be

first change the speed of the car 5 m/s to km/hr. 5×18/5 = 18km/hr

the speed of the train is 90km/hr

18:90 simplified it will be 1:5

I ANSWERED A AND B. I ONLY NEED THE ANSWER TO C. PLEASE HELP :(

Answers

Answer:

1.5

Step-by-step explanation:

Please correct me if I'm wrong. :)

1.2


1.2x5= 6
12-6=6
Therefore it would be 1.2

It is given that set W = { x, y, z).
What is the subset of set W?

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the set W = {x, y, z}

If there are n elements in a set, then are 2ⁿ subsets.

As there are 3 elements in a set, then are 2³ or 8 subsets.

so

W = {x, y, z} has 8 subsets.

They are:

∅, {x}, {y}, {x}, {x, y}, {x, z}, {y, z}, and {x, y, z}

Please note that any subset of the set W = {x, y, z} contains all the elements which are also the elements of the set W = {x, y, z}

PLS HELP ASAP PLSSS IT DETECTS IF ITS RIGHT OR WRONG HELPPP

Answers

Answer:

B - 500 + 10x = 700

Step-by-step explanation:

It’s not C because there’s nothing to subtract, he’s just gaining. It’s not A because he gains 10 every month, so the x would have to be on the 10, which means it’s B.

Answer:

B-500+10x=700

Step-by-step explanation:

Find the value of n that makes DEF-XYZ when
DE = 4, EF = 5, XY = 4(n + 1). YZ = 7n - 1, and

Answers

Answer: n=3

Step-by-step explanation:

Understand that you need to set up a proportion before you can try to solve the question through guessing. In this case, YZ would be proportional to XY as EF is proportional to DE. You would write this as: EF/DE=YZ/XY.

Now you want to write an equation. In order to do this remember to multiply by your proportion. Here’s my equation:

5/4(4n+4)=7n-1. Now distribute:

5n+5=7n-1. Now simplify:

6=2n. Now simplify again:

n=3

Hope this helps you with your big ideas math hw!

The value of is n=3

Important information:DEF-XYZ whenDE = 4, EF = 5, XY = 4(n + 1). YZ = 7n - 1.

The calculation is as follows:

5/4(4n+4)=7n-1.

Now distribute:

5n+5=7n-1.

Now simplify:

6=2n.

n=3

Find out more information about the Number here : https://brainly.com/question/17429689?referrer=searchResults

Is this relation a function

Answers

Answer:

You can tell if a relation is a function if each input value only has ONE output value. Examples below

Step-by-step explanation:

The volume of 100 drops of a liquid is 0.1 fluid ounces what is the volume of 10,000 drops

Answers

Answer:

0.001 fluid oz.

Step-by-step explanation:

100 : 0.1 = 10,000 = 0.001

Other Questions
HELP ASAP TEST IS TIMED! The body's ability to perform natural movements in daily life e.g. squat, pushing, pulling1. Dynamic2. Functional training 3. Anerobic4. Aerobic Determined which equation is balanced or unbalanced. Billy is on the cross-country team. His goal is to run on 2/3 of the days in September, which has 30 days. If Billy meets his goal, how many days will he run? Group of answer choices PLEASE HELPP!! (10 points) Help I need the answer as soon as possible rewrite as as whole number 40/5 Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans.x + y = 6. 15 x + 28 y = 116.x + y = 6. 28 x + 15 y = 116.x + y = 116. 15 x + 28 y = 6.x + y = 116. 28 x + 15 y = 6.Mark this and return Who proposed the Anaconda Plan?What was the Anaconda Plan? Why were other Union generals opposed to the Anaconda Plan?What were the two main objectives of the Anaconda Plan?What was the purpose of the blockade?Why did the North want to control the Mississippi River? In your opinion, was the Anaconda Plan an effective military strategy? this is due in a few hours can yall help me PLZ HELP WILL GIVE BRAINLIEST Mitosis is responsible for creating what cells in organisms?Group of answer choicesAll cells in sexually reproducing plantsOnly skin and hair cellsAll cells, except sex cellsOnly sex cells, known as gametes At the gas station, each liter of gas costs \$3$3dollar sign, 3, but there's a promotion that for every beverage you purchase you save \$0.20$0.20dollar sign, 0, point, 20 on gas.Is your total savings on gas proportional to the number of beverages you purchase?Yes Or No Two very important elements found in the lithosphere are __________.A. Hydrogen and OxygenB. Oxygen and SiliconC. Carbon DioxideD. Platinum and Gold Help ASAP if you know Spanish Ill make you as brainlister How would you define a first good impression? After getting her close friends to follower her, she starts posting pictures her outfit each morning and gaining new followers. Her total number of followers is given by the functionF(p)=5p+8 where p is the number of posts she's made. Based on this function, Okoye gains followers for every post she makes. After posting 10 times, she will have followers? Each one in one Sentence about this words in collective nouns Class Herd JuryArmy Council Group Family Audience Pack Flock What page in Fahrenheit 451 is the word ravenouson? Which topic could you use in classification writing?A. Describe how to cook over a campfire.B. Analyze why teenagers love fast food.C. Describe ways to raise money for a class trip.D. Explain why adults dislike loud music.E. Explain why teens prefer driving or taking the bus more than biking. These are products used in making your own product which helps a business gro1O capital goodsproducts for salenatural resourcesraw materials which of the following is the slope intercept form of the equation of this line