3 Dave can drive from Abdet to Bentall by two routes. The old route goes in roughly a straight line while the new faster route is 26% longer. Dave's average speed on the new faster route is 40% higher than his average speed on the old route. (a) By what percentage is Dave's journey time reduced by taking the new route compared to the old? [2]

Answers

Answer 1

Answer:

10 % of the total time will be saved on the new route with the new speed.

Step-by-step explanation:

Let x miles  be the old route. Then the new route would be 1.26 x miles

Let y be the speed on the old route . Then the speed on the new route would be 1.4 y .

And let t be the time on the old route

Speed = Distance / Time

or

Time = Distance / Speed

t= x/y

     Time for the new route   = 1.26x/ 1.4y= 0.9 t

0.9 t means 90% of the old time will be required to cover 1.26x  miles with 1.4 y speed.

And 10 % of the total time will be saved on the new route with the new speed.


Related Questions

Which of the following ratios are equivalent

A) 4/6 and 8/6

B) 11/7 and 22/14

c) 8/7 and 16/12

D) 1/3 and 3/2

Answers

Step-by-step explanation:

b is the equal ratios just divide 22 and 14 with 2 you gonna get you answer easily

Answer:

a) 4/6 is not equivalent to 8/6.

b) 11/7 is equivalent to 22/14

c) 8/7 is not equivalent to 16/12

d) 1/3 is not equivalent to 3/2

Step-by-step explanation:

a) 4/2             8/2

   -----        :  ---------        

   6/2             6/2

= 2/3 is not equal to 4/3, therfore they are not equivalent ratios.

b) 11 * 2

   --------           =  22/14

    7*2    

= Therefore, 11/7 is equivalent to 22/14.

c) 8*2

 --------         =           16/14

   7*2

= Therefore, they are not equivalent ratios.

c 1*3                                3/9, Therefore, they are not equivalent ratios...

 ------                =

 3*3

                  I hope this helps !!!

             Please mark it as Brainliest!!!

HELP MEEEEESSSSSSSSSSSSSSSSSS

Answers

Answer:

c

Step-by-step explanation: use a calculator

The answer is A. Both equations add up to 88.

I need help I will give brainiest​

Answers

Answer:

teacher - apple = 2

grapes - students = 29

grapes - total = 33

oranges - teachers = 1

students - total = 75

teachers - total = 7

total - total = 82

i give ten points and brainliest if you say hi

Answers

Answer:

Hi hope you have a wonderful and blessed day!!!!

Step-by-step explanation:

Answer:

Hi have a wonder full day!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

The lines (m-2)x+y=2 and mx+2y=k intersect at (2,8). Find the values of m and k

Answers

Step-by-step explanation:

(m - 2)x + y = 2

y = -(m - 2)x + 2

8 = -(m - 2)(2) + 2

6 = -(m - 2)(2)

3 = -(m - 2)

-3 = m - 2

-1 = m

mx + 2y = k

2y = -mx + k

[tex]y = - \frac{1}{2} mx + \frac{k}{2} \\ y = \frac{1}{2} x + \frac{k}{2} \\ 8 = \frac{1}{2} (2) + \frac{k}{2} \\ 7 = \frac{k}{2} \\ 14 = k[/tex]

help don't get it plzz help

Answers

Answer: e

Step-by-step explanation: hope this helps!

what's meant by addictive inverse and multiplicative inverse?​

Answers

Answer:

Two numbers are called additive inverses if their sum is 0. Another one is two numbers are called multiplicative inverses if their products is 1, if their product is 1. ... Two numbers are additive inverses if their sum is 0. If they add up to 0.

Step-by-step explanation:

HellllPPPPP solve this equation: 0.2 - 2m = 2.1m + 2.5 - 1.8m

Answers

Step-by-step explanation:

First simplify it.  Combine like terms.

0.2 - 2m = 2.1m + 2.5 - 1.8m

0.2 - 2m = 0.3m + 2.5

Then isolate m.  Add 2m on both sides, then subtract 2.5 from both sides.

0.2 - 2m = 0.3m + 2.5

        0.2 = 2.3m + 2.5

       -2.3 = 2.3m

Now divide by 2.3 to find m.

       -2.3 = 2.3m

           -1 = m

And so m = -1.

The answer is -1.........

HELP PLS ITS DUE SOON AND I STILL HAVE SCIENCE TO DO AHHHHH

Answers

Answer:

The correct answer is x = -92/9 or x = -10.2

Step-by-step explanation:

(The error is that the student didn't multiply 8 inside the parenthesis )

Steps to show work:

3/4x + 8 = 1/3

9x + 96 = 4 ➙ 9x = 4 - 96

9x = -92

x = -10.2 or -92/9

Answer to 32:

You need to find a common denominator and then multiply both sides of the equation by that number. You can do practically anything you want one side of the equation, as long as you do it to the other side as well.

-----

Hope this helped :)

map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every $$20 miles. What is the actual area of the park?

Answers

the area is 24 square inches so it would cost $480

8. The endpoints of GH are G(-8, -9) and H(8,3). Find the coordinates of the midpoint M
a. (-8,-6)
C. (0,–6)
b. (0,-3)
d. (-16,-12)

Answers

Answer:SEE BELOW

Step-by-step explanation:

Average the X and Y coordinates (X,Y)

X = (-8 + 8)/2 = 0

Y = (-9 + 3)/2 = -3

(X,Y) = (0,-3)

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given \: points}}} : [/tex]

G ( -8 , -9 ) & H ( 8 , 3 )

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Midpoint of the given points

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

Let the point G ( -8 , -9 ) be ( x₁ , y₁ ) & H ( 8 , 3 ) be ( x₂ , y₂)

[tex] \boxed{ \sf{Midpoint = (\frac{x_{1} + x_{2}}{2}} \: , \frac{y_{1} + y _{2}}{2} )}[/tex]

⟶ [tex] \tt{( \frac{ - 8 + 8}{2} \:, \frac{ - 9 + 3}{2} ) }[/tex]

⟶ [tex] \tt{( \frac{0}{2} \: , \frac{ - 6}{2}} )[/tex]

⟶ [tex] \tt{(0 \: ,- 3})[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \tt{(0 \:, - 3)}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Heyyy please help!!

Answers

Answer:

444 cm squared

Step-by-step explanation:

first multiply 6 by 8 by 18.5, and you will get 888.

But since it's a triangle you would have to divide that by 2.

This will get you 444 cm squared.

Answer:

. yupp

Step-by-step explanation:

‼️‼️HURRY‼️‼️WILL GIVE BRAINLIEST‼️‼️
Consider the equation and its solution.
8(x-2) = 64
8x-16 = 64
x
8x = 80
X= 10
Which property is used in the last step to find that X= 10?
O distributive property
O addition property of equality
O subtraction property of equality
O division property of equality

Answers

Answer:

division property of equality

Step-by-step explanation:

Consider the equation and its solution.

In the first step, 8 is distributed inside the parenthesis. So distributive property is used.

In the second step, 16 is added on both sides. So addition property is used.

In the last step , 8 is divided on both sides. So, division property of equality is used.

Step-by-step explanation:

Answer:

division property of equality

Step-by-step explanation:

because you divide 8 and 80 to have the x alone leaving you with x=10

help i need a good grade

Answers

Answer:

7.141

.133

9.902

Step-by-step explanation:

give me brainliest please! :) also, hope it helps have a great day

HElP Due in 30 min
x =

Answers

Answer:

180=x+87

-87. -87

93 = x

The value if x is 93

Step-by-step explanation:

Taylor was asked to solve the system of linear equations
3x - y = 12 and 10x + 5y = -10
by substitution. His solution is shown below.
Taylor's Solution:
Line 1: 10x + 5(-3x + 12)=-10
Line 2:10x - 15x + 60 = -10
Line 3: -5x +60 = -10
Line 4: -5x = -10 - 60
Line 5: -5x = -70
Line 6: x = 14

Which line is wrong? (pls help I’ll mark as brainliest)

Answers

Id take a guess and say line 1 because the rest looks correct

Which of the following expressions is equal to g(x)?
OA. 1/2xlog2 (x)
OB. log2 (1/2x)
OC. log2 (2x)
OD. 2xlog2 (x)

Answers

Answer:

C

Step-by-step explanation:

If you compare the graph of log₂x and g(x) you can see that the slope increases. The only answer that gives you this is C as D would increase too quickly

Answer:

OC. log2 (2x) I think this is your answer as it is increasing

c

Which of the algebraic expressions are not linear expressions? Select all that apply. a. 3x - 2 b. -9y c. -7x^2^ + 4x d. -1/2x^2^ e. 8xy (The ^2^ means squared!)

Answers

Answer:

c, d and e

Step-by-step explanation:

A linear expression is an expression in which sum of exponents of variables is at most 1 in each of its terms.

Option a: [tex]3x - 2[/tex]

Here, the exponent of the variable is 1.

So, it is a linear expression.

Option b: [tex]-9y[/tex]

Here, the exponent of the variable is 1.

So, it is a linear expression.

Option c: [tex]-7x^2 + 4x[/tex]

Here, the highest exponent of the variable is 2.

So, it is NOT a linear expression.

Option d: [tex]-\frac{1}{2} x^2[/tex]

Here, the exponent of the variable is 2.

So, it is NOT a linear expression.

Option e: [tex]8xy[/tex]

Here, sum of exponents of variables is 2.

So, it is NOT a linear expression.

Hence, c, d and e are NOT algebraic expressions.

Help! I will give brainliest to the first person to get it right!

Answers

Answer:

b

Step-by-step explanation:

she started in the negatives, and went into a positive y value

Answer: The answer is B. I hoped this helps to you! :D

Step-by-step explanation:

Please help meeeeeee

Answers

Answer:

k ≥ 4  or k ≤ -3

Step-by-step explanation:

Given function;

[tex]\frac{k}{4} \geq 1 \ \ or \ \frac{k}{3} \leq -1 \\\\Simplify \ the \ function \ as \ follows;\\\\k \geq 4 \ or \ k\leq -3\\\\[/tex]

Check the image uploaded for additional solution;

If 1 meter is equivalent to 3 28 feet, then approximately how many meters are in one mile?​

Answers

Answer:

Step-by-step explanation:

milă (terestră) = 1.609,344 m = 1.760 yards = 63.360 inches (țoli)

1 „milă romană” (mille passus) = 1.000 (passus) (1 pasus = doi pași, pas dublu) circa. 1.470 - 1.490 m

please help :( really stuck on this and don’t understand please attempt to do it .

Answers

Answer) That graph is not a function
Explanation) The graph that you provided is not a function. It does not pass the vertical line test. The vertical line test is when you draw a vertical line (l) at any point on the graph and it should touch 1 or less parts of the graph. If you put the line at x=1, the vertical line only touches the graph at (1,8.5) but if you put the line at x=5, it touches (5,1) and (5,8.5) so it does not pass the test. You should be able to put the line anywhere and have it touch ONLY 1 point. There cannot be multiple of the same x values.

The value of car after it is purchased depreciates according to the formula Vn=250000.85n, where V(n) is the car’ value in the nth year after it was purchased.

What is the purchased price of the car?
What is the annual rate of depreciation?
How much value does it lose in its fifth year?
After how many years will the value of the car be half of the original purchased price?

Answers

Answer:

25000

0.15

−1957.523

Step-by-step explanation:

Given the function :

Vn=250000.85n

Value of car due to Depreciation,

V(n) value of car after n years.

Initial value of car ; value of car at year 0

V(0) = Vn=25000(0.85)^(0)

V(0) = 25000(0.85)^0

V(0) = 25000(1)

V(0) = 25000

The Decay rate = annual Depreciation

According the exponential function.

mb^n

m = initial value

b = 1 - Decay rate

Relating to the equation given :

b = 0.85

0.85 = 1 - Decay rate

Decay rate = 1 - 0.85

Decay rate = 0.15

Value lost in fifth year : V(5) - V(4)

n = 5

V(5) = 25000(0.85)^5

V(5) = 25000 * 0.4437053125

V(5) = 11092.6328125

V(4) = 25000(0.85)^4 = 13050.15625

11092.6328125 - 13050.15625

= −1957.523

What is the equation in the slope-intercept form of the line that passes through the point (2,3) and is perpendicular to the line represented by y=-1/4x+7

A) y=4x+5
B) y=4x-5
C) y=-4x+5
D) y=-4x-5

Answers

Answer:

c

i. pretty sure the answer is c

A company orders 14 boxed lunches from a deli for $130.20. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?

Answers

Answer:

$9.30.

Step-by-step explanation:

$130.20 / 14 = 9.3

Answer:

I believe it is y=7.45x

Step-by-step explanation:

Right so: each lunch box costs $7.45 as you bought 10 which costs $74.50

So if Y is the total cost and X is the number of boxes

it should be

y=7.45

as each box is $7.45 and you want how much all the boxes cost

The price of a technology stock was $9.70 yesterday. Today, the price fell to $9.59 Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

Answer:

round it to 20×10 there's you answer

He total amount of fencing they need can be written as 5 x + 10. If x = 5; The family needs 160 yards of fencing for their home. The family needs 40 yards of fencing for their pool.

Answers

The question is incomplete. Here is the complete question.

A family needs to build a fence around their rectangular home and square pool, depicted below. A rectangle labeled home has its right side (2 + 5x) yards and its bottom side labeled (3 + 10x)yards. The square, labeled pool, is smaller than the rectangle. One of its side is labeled (2x)yards. The total amount of fencing they need can be written as x + 10. If x = 5:

The family needs _____ yards of fencing for their home.

The family needs _____ yards of fencing for their pool.

Answer: 160 yards

               40 yards

Step-by-step explanation: Perimeter is the sum of every side of a polygon.

Rectangle and Square are quadrilateral, i.e., have 4 sides each, but in a rectangle, the 2 parallel sides are equal, while in a square, 4 sides are equal.

To determine the amount of yards to fence a rectangle home:

P = 2l + 2w

where

l is length (in this case, bottom side)

w is width (right side)

P is perimeter

P = 2(2 + 5x) + 2(3 + 10x)

P = 4 + 10x + 6 + 20x

P = 10 + 30x

As x = 5:

P = 10 + 30(5)

P = 160

The family will need 160 yards of fencing for their home.

For the square pool:

P = 4s

with s representing a side of the square

P = 4(2x)

P = 8x

As x = 5:

P = 8(5)

P = 40

The family needs 40 yards of fencing for their pool.

Answer:

38, 160, 40

Step-by-step explanation:

PLLLZZ EXPLAIN HOW YOU GOT IT! I will give you branilest!
The answer is not 21.6!

Today, everything at a store is on sale. The store offers a 20% discount.

c. The discounted price of a hat is $18. What is the regular price?

(*Hint* What is your 100%?)

Answers

Answer:

Getting through ratio method

100-20=80 percent have to pay

18:80

x:100

cross multiply

80 x x=18 x 100

80x=1800

x=1800/80

x=22.5

So the original price was $22.50

Step-by-step explanation:

Paola and her sister are eating lunch at a restaurant in Miami, Florida. They order two iced teas for $2.49 each, nachos for $15.99, and a slice of chocolate cake for $4.99. Florida's sales tax is 6%, but Miami's sales tax is an additional 1% higher. The amount of sales tax on this purchase is $_________. [Enter only digits and decimal for your answer. For example, 99.99] If necessary, round the amount of tax to the nearest 100th.

Answers

Answer:

1.82

Step-by-step explanation:

Add the prices to get the subtotal:

Sweet Tea:

2.49 * 2 = 4.98

4.98 + 15.99 + 4.99 = $25.96

The subtotal is $25.96

The sale's tax in Miami is 7% (the base 6% for FL, and the extra 1% for Miami).

$25.96 * 0.07 = 1.817 ≈ 1.82

The tax should be 1.82.

Hope this helps.

The Writing Emporium sells pencils and pens individually. Alana buys a pencil and two pens for $1.10. Jeffrey buys two pencils and a pen for $1.00. How much does Edward spend to buy six pencils and six pens from the Writing Emporium?

Answers

Answer:

$4.20

Step-by-step explanation:

The Writing Emporium sells pencils and pens individually.

Step 1

We have to first find the price of a pencil and a pen

Let:

The price of a pencil = x

The price of a pen = y

Alana buys a pencil and two pens for $1.10.

x + 2y = 1.1 ......Equation 1

x = 1.1 - 2y

Jeffrey buys two pencils and a pen for $1.00.

2x + y = 1 ........ Equation 2

We substitute 1.1 - 2y for x in Equation 2

2(1.1 - 2y) + y = 1

2.2 - 4y + y = 1

-4y + y = 1 - 2.2

-3y = -1.2

y = -1.2/-3

y = $0.4

Solving for x

x = 1.1 - 2y

x = 1.1 - 2(0.4)

x = 1.1 - 0.8

x = $0.3

Hence:

The price of a pencil = x = $0.3

The price of a pen = y = $0.4

Step 2

How much does Edward spend to buy six pencils and six pens from the Writing Emporium?

6x + 6y

6($0.3) + 6($0.4)

$1.8 + $2.4

= $4.20

Therefore, Edward spent $4.20 to buy six pencils and six pens from the Writing Emporium.

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Question 1 of 10Which of the following is an example of interpersonal racism?A. Home loans are available easier to white applicantsB. Schools in predominantly black communities are less funded thanschools in mostly white communitiesC. A Latino child who feels that he is inferior because of the wayLatinos are presented by the mediaD. None of the aboveSUBMIT A chemical equation is balanced when the number of eachtype of__ is the same on both sides of the equation. write a fall story that ends with goodbye sum of 5 times of x and thrice of y is 106 write a linear equation that has a slope of 1/2 and a y-intercept at the origin. (y=1/2x) (y=0x+1/2) (y=1/2x+1/2) (y=-1/2x) 1. Which equation/s has/have the same solution as 4a -12 = 27? 4a = -15 4a = 39 4(a -3) = 27 4(a - 12) = 272. Which equation/s is/are equivalent to 2(y - 3) = 4? (3 pts) 2y - 6 = 4 2y -3 = 4 2y = 10 y = 53. Which equation/s has/have the same solution as -5m + 4 = 6? m = -2/5 -2/5 = m -5m = 2 -5m +3 + 1 = 6show your work please who else absolutely LOVES Vinnie Hackerlike hes so hot Work out the size of AED. Work out x What are 2 justifications Europeans used to subjugate indigenous people 12. What is the meaning of "share" as it is used inparagraph 4? Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. How much money will he have left after he pays back his mother? Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x Someone please help me A right rectangular prism has edges of 8 feet, 4 feet, and 1/2 foot. How many cubes with side lengths of 1/2 foot would be needed to fill the prism? PLEASE HELP What is the slope of this line? a) -2 b) -1/2c) 1/2d) 2 Carolyn sells boxes of cookies for $12 per box. She makes $900 total selling cookies.How many boxes of cookies did Carolyn sell? the early teachings of tell us that meditation is an excellent way to quiet the mind so we can hear the larger messages at play Simple multiple choice question (20 points) Fitness R Us charges $58 to join the club. During January, the club has a markdown of 51% per joining fee. What is the fee in January? plz help me. Which of the following does not represent a proportional relationship? A. Nicole earns $5 per hour. How many hours must she work to earn $100?B. Frances walks 2.2 miles every 30 minutes. If she continues to walk at this rate, how far can she walk in 4 hours? C. Juanita has 7 ceramic frogs in her collection. In addition, she will receive 3 ceramic frogs for her birthday each year, how many ceramic frogs total will she have in 10 years? D. The earth rotates on its axis every 24 hours. How many rotations will the earth complete in 15 days?