John's family visited his grandmother over the weekend. the drive to her house was 2 hours at their usual speed. the trip back took 15 min longer because traffic was bad and they had to drive 5 mph slower. how many miles away is Johns's grandmother's house?

Answers

Answer 1

The distance to Johns's grandmother's house is 90 miles.

Speed

Speed is the ratio of total distance to total time taken, it is given by:

Speed = distance / time

Let x represent the speed that John used and d represent the distance, hence:

x = d/2

Also when taken 15 minute longer (0.25 hours):

x - 5 = d/(2 + 0.25)

x = d/2.25 + 5

Equating:

d/2 = d/2.25 + 5

d = 90 miles

The distance to Johns's grandmother's house is 90 miles.

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Answer 2

Answer:

The distance to Johns's grandmother's house is 90 miles.

Speed

Speed is the ratio of total distance to total time taken, it is given by:

Speed = distance / time

Let x represent the speed that John used and d represent the distance, hence:

x = d/2

Also when taken 15 minute longer (0.25 hours):

x - 5 = d/(2 + 0.25)

x = d/2.25 + 5

Equating:

d/2 = d/2.25 + 5

d = 90 miles

The distance to Johns's grandmother's house is 90 miles.


Related Questions


Apply the distributive property using the greatest common factor to write an equivalent expression.
Enter your answers in the boxes.
0.3x – 2.7 =T0-0)

Answers

Step-by-step explanation:

0.3x = (0.3)(x).

2.7 = (0.3)(9).

Between the 2 terms, the GCF is 0.3.

Hence,

0.3x - 2.7

= (0.3)(x) - (0.3)(9)

= 0.3(x - 9).

1.
(2x3 - 5x2 + 3x + 7) = (x - 2)
a) 2x3 - x2 + x + 9
b) 2x2-x+1
C) 2x2 - x + 1 + 9/x-2
d) 2x2_9x - 15 - 23/x-2

Answers

The correct answer is b

SOMEONE PLEASE HELP ME WITH THIS!!!!! ITS GEOMETRY

Answers

Answer:

KG = 7 (A)

m KIH = 28 (B)

m JIH = 96 (D)

m HKI = 68 (B)

m KJI = 84 (C)

Step-by-step explanation:

Notice that the triangle HKJ is identical to HIJ. Since there are lines drawn to each other and both triangles are identical, the lines KG and GI are the same. This means that it is 7.

The triangle KGJ is identical with IGH. Using the recognise angle property, we know that angle JKI is the same as KHI. This means that it is 28.

Angle JIH is the same as angle JKH. Since JKH is 180 - (KHI or 84), we know that the angle JIH is 96.

We can find angle HKI by subtracting 96 by 28 because we know that angle HKI is the same as JIH. This gives us 96-2 8 = 68.

Angle KJI is the same as KHI which is 84. Therefore, KJI is also 84.

Please help
Regroup and write your answer in simplest form

Answers

First you should write 2 3/4 as a decimal, 2.75 then multiply 2.75 by 2 to get 5.5. 5.5 equals 5 1/2.
Ms. Addison needs 5 1/2 cups of flour.

hii I really need help!!
sorry if it’s kinda long lol.

question:

Sonia has two packages of hamburger meat. The first package weighs 1.76 pounds and the second package weighs 2.29 pounds. She mixed the two packages together and forms hamburgers that weigh 0.25 pounds each. What is the greatest number of 0.25-pound hamburgers Sonia can make using the hamburger meat she has?

Answers

Answer:

16

Step-by-step explanation:

2.29+1.76=4.05

4.05/0.25=16.2

round down to 16

you would have a little extra but you would only be able to make 16 .25 pound ones

Daniel ran 5 kilometers in 40 minutes. Andy ran 4,550 meters in 37 minutes. Who ran faster?
PLEASE GIVE ME EXPLANATION

Answers

Answer:

Daniel

Step-by-step explanation:

Daniel ran 5000/40=500=4=125 meters in 1 minutes

Andy ran 4550/37=122.9729... some less than 123 meters in second

Daniel was faster than Andy

1 Adrian is buying a new radio.
The radio is on sale.
The sale price of the radio is 20% off the normal price.
The radio Adrian buys is slightly damaged.
The shop takes an extra 15% off the sale price due to the damage.
Work out the overall percentage reduction of the price of the radio.
Total 5 Marks

Answers

Answer:

35

Step-by-step explanation:

20 + 15 = 35

hope this helps

Casi drove 135 miles in 3 hours. Use a proportion to find how long it would take her to drive 360 miles at the same speed.

Answers

Answer:

8 hours

Step-by-step explanation:

We are given that

Casi traveled distance in 3 hours=135 miles

We have to find the time taken by Casi to drive 360 miles at the same speed using proportion .

Let time taken by Casi to drive 360 miles=x

We know that

Speed=[tex]\frac{Distance}{time}[/tex]

Using proportion

[tex]\frac{a}{b}=\frac{c}{d}[/tex]

[tex]\frac{135}{3}=\frac{36}{x}[/tex]

[tex]x=\frac{360\times 3}{135}[/tex]

[tex]x=8[/tex]

Hence, the time taken by Casi to drive 360 miles=8 hours

help me please!!! will give brainliest!!​

Answers

Answer:

what questions you need answers?

5. The point (-7, 4) is reflected over the line x = -3. Then,
the resulting point is reflected over the line y = x. Where
is the point located after both reflections?
A. (-10,-7)
B. (1,4)
C. (4, -7)
D. (4,1)

Answers

Answer:

(4,1)

Step-by-step explanation:

Reflected over x = -3, new point : (1,4)

Reflected over y=x, new point = (4,1)

Due in 15 minutes helppppp

Answers

Answer:

13,5,12 inches hope this helps

Step-by-step explanation:

Jane spends about 1/6 of the day sleeping. How many hours in a day does Jane sleep? How many hours in a week?

Answers

Answer:

Jane spend 4 hours in a day sleeping, and 28 hours in a week.

Step-by-step explanation:

In 1 day, there are 24 hours. 24 multiplied by 1/6 is 4. I know this because 24 x 1/6 = 24/1 x 1/6 = 24/6 = 4/1 = 4.

In 1 week, there are 168 hours. 1/6 multiplied by 168 is 28. I know this because 168 x 1/6 = 168/1 x 1/6 = 168/6 = 28/1 = 28

I would appreciate brainliest.

Which equation is NOT written in slope-intercept form?

Answers

Answer and Explanation

__________________________________________________________

B) 2x - 5 = 2y + 14

__________________________________________________________

slope intercept form: y = mx + b

__________________________________________________________

B) 2x - 5 = 2y + 14 is the only answer choice that does not isolate y, and place all other terms on the other side; therefore, is your answer.

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Size of angle x in 51

Answers

Answer:

32

Step-by-step explanation:

you multiply the x factor

Calculate the slope between (-3,1) and (6,13)

Answers

Answer:

4 / 3

Step-by-step explanation:

slope formula: (y2 - y1) / (x2 - x1)

(13 - 1) / (6 + 3)

12 / 9

4 / 3

the answer is 4/3 so there you go

1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and his sister?
(a) Write an equation that represents the situation. (1 point)
(b) Solve the equation from Part (a). Show your work. (3 points)

Answer:
Part A: Write an equation.
If the present age is y, then n times the present age = ny.
If the present age is x, then age n years later/hence = x + n.
If the present age is x, then age n years ago = x – n.
The ages in a ratio a: b will be ax and bx.


Part B: Solve the equation.

John’s age =


John’s sister’s age =

Answers

Answer:

sister = 6 years

John=18 years

Step-by-step explanation:

A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.

Answer:

36-x=y

y*3=x

x+y=36

Step-by-step explanation:

I wasnt really sure how to write the equation the way you're supposesd to?

John is 27 and his sister is 9. 9*3=27

I just used guess and check sorry

please simplify 5(x-1)

Answers

Answer:

5x-5

Step-by-step explanation:

Just use distribuative property

Хеллльпппппп please ......

Answers

Answer:

B

Step-by-step explanation:

Plssssssssssssss help meeeeeeee

Answers

Answer: $10

Step-by-step explanation:

So she's spending the money:

150.55 - 45.76 = 104.79

104.79 - 35.00 = 69.79

69.79 - 79.82 = -10.03

After she adds the 20.03 into her bank account, she now has $10

Solve the system of equations by the addition method.

5x + 2y = 1
2x - 2y = -8

Answers

Answer:

(-1, 3)

Step-by-step explanation:

5x + 2y = 1

+

2x - 2y = -8

7x = -7

x= -1

2(-1) - 2y = -8

-2 - 2y = -8

-2y = -6

y = 3

What is the equation of a line that passes through the points (–3, 4) and (2, 8)?

Answers

Answer:

[tex] \frac{y - 4}{x - ( - 3)} = \frac{8 - 4}{2 - (- 3)} \\ \frac{y - 4}{x + 3} = \frac{4}{5} \\ 5(y - 4) = 4(x + 3) \\ 5y - 20 = 4x + 12 \\ \boxed{4x - 5y + 32 = 0}[/tex]

4x-5y+32=0 is the right answer.

Can somebody please help me with this pleaseee

Answers

Answer: -2, 2

Step-by-step explanation:

0 = 5x^2 -20

0 = 5(x^2 -4)

0 = 5(x - 2)(x + 2)

0 = x - 2

2 = x

0 = x + 2

-2 = x

14a + 8
Factor the Algebraic Expression ​

Answers

Answer:

Step-by-step explanation:

2 is the largest shared factor.  Thus, the given 14a + 8 = 2(7a + 4).

I already have an answer, please clarify the correct answer, thx

Answers

Answer:

ok so y= 25 and x= 27. brainliest pls!

A restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. How many eggs does each 5-layer rack hold?

Answers

Answer:

The answer is 125 eggs.

The total number of eggs required will be 125.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. The number of eggs will be calculated as:-

Number of eggs = 5 x 5 x 5

Number of eggs = 125

Therefore, the total number of eggs required will be 125.

To know more about an expression follow

https://brainly.com/question/3188652

#SPJ2

i'll give brainliest

Answers

Answer:

A. 50.3 meters

please i need an answer ASAP!!

Answers

They are both 53 degrees
180 minus 127 is 53 so c would be 53 and because of that one theorem b would be 53 as well

In an effort to save money, Zoe decides to cut back on the number of meals she eats at restaurants each month. She tracks the
number of meals she eats out each month for a year. The data is recorded in the dot plot below.
O
1
2
3
4
5 6 7 8 9 10 11 12 13 14 15
Number of Meals
Which statement about the data is true?
0
The data is skewed left with an outlier.
a
The data is skewed left with no outlier.
The data is skewed right with an outlier.
The data is skewed right with no outlier.

Answers

Answer:

The data is skewed left with an outlier.

Explanation:

Skewness occurs when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the entries lie to the right, so the data set is skewed left.

Marcus looked out in the audience and saw 40% of the chairs were filled. There were 42 people sitting in the chairs. Enter the total number of chairs in the audience.

Answers

Answer:

I say it is 16.8

Step-by-step explanation:

40 x 42

100

= 16.8

The total number of chairs in the audience is 105.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Marcus looked out into the audience and saw 40% of the chairs were filled and 42 people are sitting in the chairs.

Let, 'x' be the total number of chairs.

Therefore, 40% of 'x' is 42 which can be numerically expressed as,

(40/100)×x = 42.

0.4x = 42.

x = 42/0.4.

x = 105.

So, The total number of chairs in the audience is 105.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

15)
You are asked to solve -10% +15 < -2x - 9. Which three statements are true?
A)
x > 3
B)
X<2
2 is a solution
D)
-8x < -24
3 is not a solution.

Answers

Answer:

A, x>3

Step-by-step explanation:

You solve the equation as normal by crossing out both sides and getting what equals to x, but since you divided by a negative the sign flips and you are left with your answer. Hope this helps!

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