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]

Answer:

c

i. pretty sure the answer is c

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;

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.

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.

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Hope this helped :)

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:

Answer:

round it to 20×10 there's you answer

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

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

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

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:

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:

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

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:

Answer:

7.141

.133

9.902

Step-by-step explanation:

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

Answer: e

Step-by-step explanation: hope this helps!

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:

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.

Answer:

180=x+87

-87. -87

93 = x

The value if x is 93

Step-by-step explanation:

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.

Answer:

teacher - apple = 2

grapes - students = 29

grapes - total = 33

oranges - teachers = 1

students - total = 75

teachers - total = 7

total - total = 82

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

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]

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

[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 ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

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:

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!!!

Answer:

c

Step-by-step explanation: use a calculator

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

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]

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.