Riley is training to run in a 5-kilometer road race. She would like to

reduce her race time by 15 seconds each month that she trains.

The race is in 3 months. What is the total change in time that Riley

hopes to achieve?

1. What integer represents the change in race time Riley wants to

achieve each month?

2. What integer represents the number of months she will train?

3. Write a multiplication expression that can be used to find the total

change in time.

4. Complete the number line to find the product.

-15

--50-45-40-35-30-25-20-15 -10 -5

0

5. What is the total change in race time that Riley hopes to achieve?

Explain what this change represents in the situation.

Answers

Answer 1

Answer:

1. -15

2. 3

3. -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image.

5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.

Step-by-step explanation:

Given that it is a 5 kilometre race.

Time to be reduced each month = 15 seconds

Total number of months left in the race = 3

1. Riley wants to achieve each month a decrease of 15 seconds.

Integer representing the change = -15

2. Change in time i.e. 3 months is represented by integer 3.

3. There are a total of 3 months and there is a decrease of 15 every month.

so, multiplication expression is: -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image for the number line representation of the answer.

The arrow is from 0 to -45.

5. Total change in time is -45.

This change represents that achieving the goal will reduced the time by 45 seconds.

Riley Is Training To Run In A 5-kilometer Road Race. She Would Like Toreduce Her Race Time By 15 Seconds

Related Questions

When a number Is decreased by 20% of itself, the result is 24. What is the number?

Answers

Answer:

1The answer is 19.2

Step-by-step explanation:

24 - 4.8 = 19.2

the number is 30.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

Here, we have,

a number Is decreased by 20% of itself, the result is 24.

let, the number =x

then, we get,

x *80% = 24

i.e. x* 4/5 = 24

so, x= 30.

hence, the number is 30.

To learn more on percentage click:

brainly.com/question/13450942

#SPJ2

What is 8 x 1 + 9 x (1/10) + 6 x (1/100) + 2 x (1/1000)?

Answers

Answer:

8962

Step-by-step explanation:

8×1+9...etc..etc

= 8962

Answer:

8.962

Step-by-step explanation:

Explain answers I need it now plz

Answers

Answer:

B

Step-by-step explanation:

The basket is a base price of 5 dollars so there is no x, the basket can't go up in price nor down.

The cookies can though, you can either buy 1 or you can buy 50. Your final answer must be 31.

2x + 5 = 31  

     - 5    -5

2x = 26

÷2 .  ÷2

x = 13  

Kacey rode her bicycle 227 miles in 7 hours. How many miles did kacey travel per hour?

Answers

Answer:

39

Step-by-step explanation:

Answer:

32.4825

hope this helped :)

Lines Project Journal
need help for number 3​

Answers

Answer:

Remember that a line segment is the portion of a straight line that directly connects two given points. Unlike a line, it does not extend off to infinity in both directions. To find the length, we just use the distance formula between the two points provided.

Example:

Find the distance between (-2,8) and (-7,-5). Said another way, find the length of the line segment between points (-2,8) and (-7,-5).

First, find the distance between the x-coordinates. To do this, subtract one number from the other and then take its absolute value.

We have: |-2-(-7)| = |5| = 5.

Then repeat with the y-coordinates.

We have: |8-(-5)| = |13| = 13.

NOTE: It does NOT matter which way you subtract the numbers because the absolute value of the answer would be the same anyway.

Finally, to compete the length (or distance), square BOTH values, add them, and take the square root. Here's the first part:

[tex]5^{2}[/tex]  +  [tex]13^{2}[/tex]  = 25  +  169  =  194

Taking the square root of 194 and rounding to TWO decimal places, we get a distance of 13.93:

[tex]\sqrt(194)[/tex]  =  13.93

By the way, what you are actually doing is using the Pythagorean Theorem on an imaginary right triangle with the line joining the two lines being the hypotenuse.

The general formula for distance between two points is the following:  [tex]\sqrt{x^2+y^{2}[/tex]  , where x and y are the change in x and y between the two points.

i need some help with this question​

Answers

Answer:

(7w + 9x)(7w - 9x)

Step-by-step explanation:

 Given expression;

        49w²  - 81x²

Now to solve the problem;

         49w² - 81x² = 7²w² - 9²x²

                           

Using differences of two squares;

        x²  - y²   = (x + y)(x - y)

So;

7²w² - 9²x²  = (7w + 9x)(7w - 9x)


if c u means 20cd determine the value of 4 how to do maths how to do maths

Answers

Answer

4

Step-by-step explanation:

Lets assume that the variable "cu" is equal to 20cd. The value of this is 4. now we cancel out c from both sides, and get u = 20d = 4. Meaning d is 5, and u is 4. Lastly, u isnt a defined variable, so this shall work for any case.

Linda plans to put in wall-to-wall carpet in her bedroom. She measures the dimensions of her bedroom and skectches up the floor plan shown below. The carpet costs $9.50 per square meter. How much will Linda pay for a wall-to-wall carpet for her bedroom?

Answers

The image of the floor dimensions is missing, so i have attached it.

Answer:

$88.92

Step-by-step explanation:

Looking at the attached floor plan, we have to divide it into two parts to solve easily.

To get the smaller side of the bigger triangle; 3 - 0.6 = 2.4m

Thus,bigger triangle measures; 3.6m x 2.4m

For the smaller triangle, dimensions are; 0.6m x 1.2m

Area of bigger triangle = 3.6 × 2.4 = 8.64 m²

Area of smaller triangle = 0.6 × 1.2 = 0.72 m²

Total area = 8.64 + 0.72 = 9.36 m²

Since the carpet costs $9.50 per sq.m.

Thus;

Total spent for wall to wall carpet is = 9.36 × 9.5 = $88.92

Barnes and noble needs to ship 14 mystery books, 12 science-fiction books, and 8 historical-fiction books. The store can only pack one genre of book in each box, and they must pack the same number of books in each box. What is the greatest number of books Barnes and Noble can pack in each box?

Answers

Answer: 2

Step-by-step explanation:

Given:  14 mystery books, 12 science-fiction books, and 8 historical-fiction books needs to b shipped.

If they want to pack one genre of book in each box such that they pack same number of books in each box.

Then, the greatest number of books Barnes and Noble can pack in each box

= GCD(14,12,8)

Since, 14 = 2 x 7

12 = 2 x 2 x 3

8 = 2 x 2 x 2

GCD(14,12,8)=2

Hence, the greatest number of books Barnes and Noble can pack in each box = 2

A dairy produces 420,000 quarts of milk each day. There are 4 quarts in a gallon. How many gallons of milk are produced each day? A 105,000 gal B) 1,680,000 gal С 1,050,000 gal D 10,500 gal Question 10 2 Points​

Answers

Answer:

150000

Step-by-step explanation:

i use cal

A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $12 each. The inequality LaTeX: 12n > 135 + 4.50n12n>135+4.50n12n>135+4.50n represents the situation in which the artist makes a profit.

Answers

Answer:

The artist makes profits when n>8.18

that is when the number of necklaces exeeds 8.18

Step-by-step explanation:

Given

let the number of necklaces be n

booth rent= $135

The cost of materials for the necklaces = $4.5n

the selling price for all the necklaces =$12n

total expenses= booth rent+cost of material = $135+4.5n

profit = selling price -total expenses

12n > 135 + 4.50n

solving for n we have

12n=135 + 4.50n

12n+4.5n=135

16.5n=135

n=135/16.5

n=8.18

The artist makes profits when n>8.18

2( 3y−8 ) = 8 what is y?

Answers

[tex]2(3y - 8) = 8 \: \: so \: \: 6y - 16 = 8 \: \: so \: \: 6y = 24 \: \: finaly \: > > y = 4[/tex]

Suppose C and D represent two different school populations where C > D and C and D must be greater than 0. Which of the following expressions is the largest? Explain why. Show all work necessary
A: (C + D)^2
B: 2(C + D)
C: C^2 + D^2
D: C^2 - D^2

Answers


(c + d)²
Expand
c² + 2cd + d²
------------------

B: 2(C + D)
When c and d are between 0 and 1
2(c + d) > (c + d)²
Example c = 0.2 and d 0.1
2(c+d) = 0.6
(c + d)² = 0.09
When c and d are greater than 1 then
(c + d)² > 2(c + d)
-------------------------

C: C^2 + D^2
Since (c + d)² expanded is (c² + d²) + 2cd
c² +-d² is always greater
-----------------------

D: C^2 − D^2
Subtracting results in a smaller number
c² +-d² is always greater
-------------------
Since a schools population can never be between 0 and 1
The answer that you are supposed to choose is
A: (C + D)² <––––––
However the question is defective and should be changed
from: "C and D must be greater than 0︎⃣"
to: C and D must be greater than 1︎⃣

What does the graph look like for y=2x-3

Answers

Sorry for the bad picture

Answer:

It will have a y-intercept of -3 and a rise of 2 and a run of 1.

Step-by-step explanation:

We can use a graphing calculator to help us graph for y = 2x - 3.

Attached below is the graph.

Help me on this please

Answers

Answer:

It would be y=-6.

Question in picture please answer

Answers

Answer:

-16

Step-by-step explanation:

-2=2+V/4

-V/4=2+2

-V/4=4

-V=4x4

-V=16

V=-16

plz help ill give brainliest In the kite , AK=15 , JK=39 , and AM=77 .

What is JM ?

Answers

Answer:

125 i think....

Step-by-step explanation:

Paul can spend no more than $24 on his pizza order. Each pizza costs $10 and there is a $4 delivery fee. How many pizzas can he order?

Answers

Answer:

He can order 2 pizzas =20+ 4 for the delivery so 24=24 he will have no money left but he can get 2 pizzas

Step-by-step explanation:

Answer:

you can get 2 pizzas

Step-by-step explanation:

It does not say a delivery fee for each pizza. It just states that there is a fee for the delivery.

10+10=20

20+the delivery fee=24

PLEASE HELP ME BRO LITERALLY ANYONE OUT THERE, COMEEE ON

Which statement must be true?

Answers

Answer:

The first option 3~=6

Step-by-step explanation:

The two angles are alternate interior which means the angles are congruent

Answer:

The first option.

That is true because <3 and <6 are vertical angles. You can test this by replacing <3 with angle <1, which are equal. Then you can see <3 is equal to <6. So the first option must be true.

Hope this helps.

Write the proportional equation that represents the table below.

Answers

The answer is b y=20x

y = 4x + 12
x + 4y = 32

Answers

I hope this helps you

If the equation 9y2 + 6ky + 4 = 0 has equal roots, then the value of k a) ±1 b) ±2 c) ±3 d) ±4 ​

Answers

Given:

• The equation 9y² + 6ky + 4= 0 has equal roots .

To find :

• The value of k.

Solution:

• As we know that , For equal roots :

• Discriminant must be equal to zero.

D = b²- 4ac = 0

Here ,

a= 9 , b = 6k , and c = 4 .

=> b²-4ac= 0

=> (6k)² - 4 (9)(4)=0

=> 36k² - 144=0

=> 36k²= 144

=> k²= 144/36

=> k²= 4

=> k = ±2.

Hence ,the option b is correct .

I hope it will help you.

Regards.


What is the slope of the following table?

Answers

Answer:

The slope is 7

Step-by-step explanation:

Choose any of the following points for example (0.5,3.5) and (1,7)

7-3.5=4.5/1-0.5=0.5

Divide 4.5/0.5 to get 7

Our friend claims that a rectangle with the same perimeter as △QRS will also have the same area. Is your friend correct? Explain. yes; Any rectangle with a perimeter of 12 units will have an area of 6 units. yes; If a rectangle does not have the same perimeter as △QRS, it will not have the same area, so your friend's statement is correct by counterexample. no; A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no; A 1×5 rectangle has a perimeter of 12 units and does not have an area of 6 units, so a counterexample shows that your friend's statement is not correct.

Answers

Answer:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no

Step-by-step explanation:

We are given vertices in the attached

To solve this question, we are given vertices, we solve using the formula:

√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)

We are given Triangle QRS

Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)

QR : Q = (-2, 1) , R = (-2, -2)

= √(-2 - (-2))² + (-2 - 1)²

= √0² + 3²

= √9

= 3 units

RS : R = (-2, -2), S =(2, -2)

= √(2 -(-2))² + (-2 - (- 2))²

= √4² + (0)2

= √16

= 4 units

QS: Q = (-2, 1), S =(2, -2)

= √(2 -(-2))² + (-2 - 1)²

= √(2 + 2)² + (-3)²

= √4² + 9

= √16 + 9

= √25

= 5 units

The Area of Triangle QRS = 1/2bh

b = base = RS = 4 units

h = height = QR = 3 units

= 1/2 × 4 × 3

= 6 square units

Perimeter of Triangle QRS = QR + RS + QS

=( 3 + 4 + 5)units

= 12 units

Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle

The perimeter of a rectangle

= 2L + 2W

12 units = 2L + 2W

12 - 2L = 2W

W = 12 - 2L/2

The Area of a Rectangle = L × W

6 square units = LW

6 = LW

6 = L ×(12 - 2L/2)

6 = 12L - 2L²/2

Cross Multiply

6 × 2 = 12L - 2L²

12 = 12L - 2L²

2L² - 12L + 12

2(L² - 6L + 6)

Therefore, from the calculation above, we can conclude:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.

Answer:

Step-by-step explanation:

Answer:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no

Step-by-step explanation:

We are given vertices in the attached

To solve this question, we are given vertices, we solve using the formula:

√(x2 - x1)² +(y2 - y1)² when given (x1, y1) and (x2, y2)

We are given Triangle QRS

Where: Q = (-2, 1) , R = (-2, -2), S =(2, -2)

QR : Q = (-2, 1) , R = (-2, -2)

= √(-2 - (-2))² + (-2 - 1)²

= √0² + 3²

= √9

= 3 units

RS : R = (-2, -2), S =(2, -2)

= √(2 -(-2))² + (-2 - (- 2))²

= √4² + (0)2

= √16

= 4 units

QS: Q = (-2, 1), S =(2, -2)

= √(2 -(-2))² + (-2 - 1)²

= √(2 + 2)² + (-3)²

= √4² + 9

= √16 + 9

= √25

= 5 units

The Area of Triangle QRS = 1/2bh

b = base = RS = 4 units

h = height = QR = 3 units

= 1/2 × 4 × 3

= 6 square units

Perimeter of Triangle QRS = QR + RS + QS

=( 3 + 4 + 5)units

= 12 units

Our friend is claiming that a rectangle with the same perimeter as will have the same area as the triangle

The perimeter of a rectangle

= 2L + 2W

12 units = 2L + 2W

12 - 2L = 2W

W = 12 - 2L/2

The Area of a Rectangle = L × W

6 square units = LW

6 = LW

6 = L ×(12 - 2L/2)

6 = 12L - 2L²/2

Cross Multiply

6 × 2 = 12L - 2L²

12 = 12L - 2L²

2L² - 12L + 12

2(L² - 6L + 6)

Therefore, from the calculation above, we can conclude:

A rectangle cannot have a perimeter of 12 units and an area of 6 square units. no.

There are 84 turkey and 63 ham sandwiches to be places on trays. Each tray should have only one kind of sandwich, and all trays have the same number of sandwiches. If you place the greatest possible number of sandwiches on each tray, how many trays will you have with turkey and how many with ham?

Answers

it should have 83 turkey and 83 ham and one extra.

Please help me with the question! Please!!

Answers

Answer:

Slope is 3 and y-intercept is 2

Step-by-step explanation:

When you do slope formula, you get 3 and on the table it says (0, 2) which is the y-intercept

Could someone show me how to do this?

Answers

Step-by-step explanation:

b - no:of students on bus

V - " " on van

so the eqtn is

12v+10b=698

14v+2b=244

so when you solve these two eqtns you get

V=9

b=59

3 ratios that are equivalent to the given ratio.
4/7

Answers

Answer:

8/1416/2824/56

Hope this helps! <3

Answer: Multiply by 2

Step-by-step explanation:

4*2=8    7*2=14

8:14

4*3=12   7*3=21

12:21

4*4=16   7*4=28

16:28

Carlos sold 6 cellphones every hour during the day, but in the morning he already ha $1,250 in the register. What is the expression that represents the total amount of money that he should have in the register in a given hour?

A: $1250
B: 6x
C: 6x + 1250
D: 1250x + 6

Answers

Answer: 6x+1250

Step-by-step explanation:

Amount already in the register = $1250

Number of phones sold every hour = 6

Price of the phone = x

The expression that represents the total amount of money that he should have in the register in a given hour will be:

= $1250 + $6x.

Therefore, option C that is 6x + 1250 is the correct answer.

Your bank charges you a fixed monthly fee for banking there and a charge for each check you write one month you wrote 23 checks and were charged 16.70 the next month you wrote 18 checks and were charged 15.95 how much is your fixed monthly charge and how much do they charge per check

Answers

Answer:

Your fixed monthly charge is $13.25 and the charge per check is $0.15.

Step-by-step explanation:

The formula to calculate the amount the bank charges you would be equal to the fixed monthly fee plus the charge for each check for the number of checks. According to that, if you wrote 23 checks and were charged 16.70, this would be:

x+23y=16.70

Also, if you wrote 18 checks and were charged 15.95, you would have the following equation:

x+18y=15.95

You can use these equations to find the value of x and y:

x+23y=16.70 (1)

x+18y=15.95 (2)

where x is the fixed monthly fee and y is the charge for each check

First, you can solve fo x in (1)

x=16.70-23y (3)

Then, you can (3) in (2):

16.70-23y+18y=15.95

16.70-5y=15.95

16.70-15.95=5y

0.75=5y

y=0.75/5

y=0.15

Finally, you can replace the value of y in (3) to find x:

x=16.70-23(0.15)

x=16.70-3.45

x=13.25

According to this, the answer is that your fixed monthly charge is $13.25 and the charge per check is $0.15.

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