raig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average speed of 20 miles per hour. The entire two-part, 15-mile race took him 1.125 hours to complete. Which table correctly represents his rates, times, and distances for each part of the race? ASAP NICKEL

$56 a week

earnings = $12 × 28 = $336

saved = [tex]\frac{1}{6}[/tex] x $336 = [tex]\frac{336}{6}[/tex] = $56

11

5 pound = 500 pence

500 pence/ 45 pence= 11.1111111

Final answer:

7 quarters represent 175 percent of a school year since 7 divided by 4, then multiplied by 100 equals 175%. This means 7 quarters is more than the duration of one standard school year.

Explanation:

To calculate what percent of a school year 7 quarters represent, we need to compare 7 quarters to the total number of quarters in a standard school year. Since we know that a school year consists of 4 quarters, we can set up a proportion to determine the percentage.

Step 1: Identify the total number of quarters in a school year, which is 4.

Step 2: Identify the number of quarters we're focusing on, which is 7.

Step 3: Set up a fraction to represent the portion, which is 7 divided by 4 (7/4).

Step 4: Convert this fraction to a percentage by multiplying by 100. So, (7/4) × 100 = 175%.

Therefore, 7 quarters represent 175 percent of a school year, which implies more than one full school year.

(10m – 6) – (7m – 4)

= 10m - 6 - 7m + 4

= 3m - 2

So

[10m + (–7m)] + [(–6) + 4]

= 3m + (-2)

= 3m - 2 ..............matching answer.

Answer

[10m + (–7m)] + [(–6) + 4]

To add or subtract any algebraic expression,  variables add or subtract with variables and constant term add or subtract with constant terms in the expression.

To solve given expression, we use [10m + (–7m)] + [(–6) + 4] expression.

Given expression is,

                               (10m – 6) – (7m – 4)

Now, variables add or subtract with variables and constant term add or subtract with constant terms in the above expression.

                        10m - 6 - 7m + 4

                      (10m - 7m) + (-6 + 4)

                    [10m + (–7m)] + [(–6) + 4]

So, first option is correct.

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Final answer:

To calculate the sale price of the Game Boy with an original price of $50.00 and a discount of 2/5, you multiply the original price by the discount to find the amount reduced ($20), then subtract that from the original price to find the sale price ($30).

Explanation:

The question involves calculating the sale price of an item after a discount. Initially, the original price of the Game Boy is $50.00. The discount is given as 2/5 of the original price. To find the amount of discount, we multiply the original price by 2/5:

Discount = Original Price × Fraction of discount
Discount = $50 × 2/5
Discount = $20

Now, we subtract this discount from the original price to find the sale price:

Sale Price = Original Price - Discount
Sale Price = $50 - $20
Sale Price = $30

Therefore, the sale price of the Game Boy after the discount is $30.

For this case we have:

Part A:

Since d is the variable that represents the number of days, we can represent an inequality for the gains given by:

[tex]680d + 52000 <960d\\[/tex]

Part B:

We want to know the moment from which Julianne obtains earnings, for that we clear d of the previous inequality:

[tex]52000 <960d-680d\\\\52000 <280d\\\\\frac{52000}{280}<d\\[/tex]

[tex]185.7 <d\\\\d> 186 days\\[/tex]

To start making a profit, Julianne must work more than 186 days.

Answer:

[tex]680d + 52000 <960d\\\\d> 186 days\\\\[/tex]

Answer:

Average speed = 65 miles per hour

Step-by-step explanation:

Mike drove 100 miles in 2hrs

He stopped to take lunch then;

drove  420 miles in 6hrs

Total distance covered = 100 + 420 miles = 520 miles

Total time taken = 2 + 6 hrs = 8hrs

Average speed = Total distance ÷ total time = 520/8 = 65 miles per hour

width = 7cm

Length= 41cm

width=x

length=3x+20

96=3x+20+3x+20+x+x

96=8x+40

56=8x

x=8

Rectangle has 4 sides

You have the 2 side lengths (l) and the 2 side widths (w)

"The length is 20 centimeters more than triple the width" in math terms is

l = 20 + 3w

The perimeter is 96 centimeters, which is all the sides added up

2l + 2w = 96

2(20 + 3w) + 2w = 96

40 + 6w + 2w = 96

40 + 8w = 96

8w = 56

w = 7

now plug in w = 7 to get length in

l = 20 + 3w

The zookeepers finish feeding the animals at 8:30 PM

1. The cost of items are= $2.50, $8.75, $3.00, $10.25

Total cost = $ 24.50

Tax rate = 6%

Hence tax amount is = [tex]\frac{6}{100} *24.50[/tex] = $ 1.47

2. Time involved in exercise in 1 month = 24 hours

Hence, total time involved in exercising for a year = [tex]24*12=288[/tex]  hours

3. find the value of this integer expression: -2( 3+ -4 +-8+ 7)

Value is obtained by [tex]-2(3+(-4-8)+7)[/tex]

= [tex]-2(3-12+7)=-2(-2)=4[/tex]

4. find the value of this fraction computation: 6( 1/2 + 2/3 + 3/4)

[tex]6(\frac{1}{2}+\frac{2}{3}+\frac{3}{4})[/tex]

=[tex]6(\frac{6+8+9}{12})[/tex]

=[tex]6(\frac{23}{12}) = \frac{23}{2}[/tex]

5. find the perimeter of a rectangular area with a length of 13 inches and width of 7 inches.

Perimeter of a rectangle = 2(length + width)

perimeter = [tex]2(13+7)[/tex]

=[tex]2(20)=40[/tex] inches

6. a situation in which the distributive property could be used is the perimeter of a rectangle.

2(length + width) = 2length + 2width

example- suppose the length of the rectangle is 10 cm and width is 4 cm

so, perimeter is 2(10+4)

= 2(10) + 2(4) = 20+8 =28cm  ..... with distributive property

or

2(10+4) = 2(14) =28cm  ........ without distributive property

3x + 2y + z = 7   ⇒   z = 7 - 3x - 2y

*****************************************

  5x + 5y + 4z = 3  

= 5x + 5y + 4(7 - 3x - 2y) = 3

= 5x + 5y + 28 - 12x - 8y = 3

= -7x -3y + 28 = 3

= -7x - 3y = -25

*****************************************

  3x + 2y + 3z = 1

= 3x + 2y + 3(7 - 3x - 2y) = 1

= 3x + 2y + 21 - 9x - 6y = 1

= -6x - 4y + 21 = 1

= -6x - 4y = -20

*****************************************

-7x - 3y = -25   ⇒  4(-7x - 3y = -25)   ⇒   -28x - 12y = -100

-6x - 4y = -20   ⇒ -3(-6x - 4y = -20)   ⇒    18x + 12y =  60

                                                                  -10x         =   -40

                                                                       x         =     4

-7x - 3y = -25

-7(4) - 3y = -25

-28  - 3y = -25

        -3y  = 3

           y  = -1

z = 7 - 3x - 2y

  = 7 - 3(4) - 2(-1)

  = 7 - 12 + 2

  = -3

Answer: x = 4, y = -1, z = -3

I believe the radius would be 3.39

Hope this helps! Good luck! :)

144(π)cm² = 4(π)r²             Divide by π on both sides

144cm² = 4r²                      Divide by 4 on both sides

36 = r²                               Find the square root of both sides

√36 = √r²

the number is - 1

let the number be n then 6 times the number is 6n and added to -4 is

- 4 + 6n = 10n ( equal to 10 times the number )

subtract 6n from both sides

- 4 = 4n ( divide both sides by 4 )

[tex]\frac{-4}{4}[/tex] = n , hence n = - 1

357+421 = 778

Hope this helps :)

To solve this problem you must apply the proccedure shown below:

1. You have the following system of equation:

[tex]\left \{ {{-4x-2y=-12} \atop {4x+8y=-24}} \right.[/tex]

2. As you can see, you can cancel out the variable [tex]x[/tex], because it has equal coefficient with different signs at both equations. Then, if you add both equations, you obtain:

[tex]6y=-36\\y=-6[/tex]

3. Let's substitute the value obtained into the second equation to calculate the other variable:

[tex]4x+8(-6)=-24\\4x-48=-24\\x=6[/tex]

The answer is: (6,-6).

Answer:

C

Step-by-step explanation:

I would say not enough information. You cannot tell from the givens how A,B and m<2 are related to each other.

Answer C

Answer:

c

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Given a quadratic equation

x^2+10x+24 =0

We can use either formula or factorization method to solve this equation.

The last term is 24, it is a product of 6 and 4. Sum =6+4 =10

Hence factoring can be done easier

Split the middle term as 6x +4x

x^2+6x+4x+24 =0

x(x+6)+4(x+6)=0

(x+4)(x+6)=0

Either x+4 =0 or x+6 =0

x=-6 or x =-4

Answer:  Cole and his sister Chloe will take 81 minutes to clean the whole house.

Step-by-step explanation:

Total rooms in the house = 9

Total persons to clean the house = 2 (Cole and his sister Chloe)

Time taken by 1 person to clean one=18 minutes

Time taken by 2 persons to clean one room together=18 divided by 2 = 9 minutes

Time taken by 2 persons to clean 9 rooms (which is the total number of rooms in the house)=9 multiply 9 = 81 minutes

therefore, they will take 81 minutes to clean the whole house.

Answer:

Both trains are traveling at 90 miles per hour.

Step-by-step explanation:

We are told that the rate is the same for both trains, and we know that the distance traveled by train a plus the distance traveled by train b equals 585 miles.

We will use [tex]Distance=Rate* Time[/tex] formula to solve this problem.

Train A: [tex]D_a=R*2.5[/tex] (Using 2.5 instead of 2 and 1/2)

Train B: [tex]D_b=R*4[/tex]

We can set an equation to solve for rate R of trains as:

[tex]D_a+D_b=585[/tex]

[tex]2.5R+4R=585[/tex]

[tex]6.5 R=585[/tex]

[tex]R=\frac{585}{6.5}[/tex]

[tex]R=90[/tex]

Therefore, rate of both train a and train b is 90 miles per hour.

The total distance between the two stations is

[tex]585 miles[/tex]

Let the distance between the Central Station and station b be x

This implies that the distance between the Central Station and station a is

[tex](585 - x) \: miles[/tex]

[tex]speed=\frac{distance}{time}[/tex]

so, let us write equations in terms of speed for the two trains and solve

 For train a,

[tex]speed=\frac{585 - x}{4 } ....eqn \: 1[/tex]

For train b,

[tex]speed=\frac{x}{2  \frac{1}{2} } .....eqn \: 2[/tex]

We were told that both trains traveled with the same speed

This means that eqn 1 = eqn 2

[tex]\frac{585 - x}{4 }=\frac{x}{2.5} [/tex]

Cross multiplying

[tex]2.5(585 - x)=4(x) [/tex]

Expanding the brackets

[tex]1462.5  - 2.5x =4x[/tex]

Grouping like terms

[tex]1462.5= 4x + 2.5x[/tex]

[tex]6.5x = 1462.5 \\ x = \frac{1462.5}{6.5 } =225 \: miles[/tex]

The speed at which the trains were travelling is

[tex] \frac{225}{2.5}= 90 \: miles /hour[/tex]

Hence the rate of the trains is  

[tex]=90\: miles /hour[/tex]

Answer:67.8 is the answer

Step-by-step explanation:

i hope it helps

Answer:

cost of one sheet of sticker = 2.05

Step-by-step explanation:

given that for every 10 sheets of stickers total c0st increases 20.50

i.e. cost of 10 sheets of stickers = 20.50

When we purchase 1 sheet the price would be reduced.

In other words, direct variation is there for sheets of papers and costs

Hence for 1 sheet of stickers cost would be less than 10 sheets.

So divide by 10

Cost of 1 sheet of sticker = 20.50/10 = 2.05

Answer:

A 75-year-old person can expect to live 11.7 more years.

Step-by-step explanation:

edmentum/plato

If x > 0 and y < 0 then the point (x, y) is located in Quadrant IV.

Look at the picture.

Answer:

II

Step-by-step explanation:

All you have to do is just add 26.7 with 12.8, with the result being 39.5

2x+2=20-x

3x=18

x=6

2nd=14

The value of x in the isosceles right triangle is 52.5.

The measure of the acute angle in an isosceles right triangle can be determined by setting the expression equal to 90 degrees:

(2x - 15) = 90

Simplifying the equation, we get:

2x = 90 + 15

2x = 105

x = 105/2

x = 52.5

Therefore, the value of x is 52.5.

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I took it last time it D. YOu welcome

The point that represents a viable solution is (4, 3)

From the question, we have the following parameters that can be used in our computation:

The graph

This is given as an attachment

From the graph, we have solution to the system to be the shaded region

This means that all coordinates in the shaded region are the solutions to the system

One of the coordinates in the solution to the systems of inequalities graphically is (4, 3)

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