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


6 of 12
Sam had a bank account balance of $32. He deposited $28 into his account
Which statement is true about his balance after making the deposit?
A
His balance will be less than $32
B
His balance will be greater than $28.
С
His balance will be between S0 and $28
His balance will be between $32 and $0

Answers

Answer:his balance will be between 0 and 28

Step-by-step explanation:

What is another fraction besides 2/5 that is equivalent to the decimal 0.4?

Answers

Answer:

4/9

Step-by-step explanation:

I need help with step 3

Answers

[tex]f(x) = ( \frac{1}{4} ) {}^{x} [/tex]

[tex]f(0) = ( \frac{1}{4} ) {}^{0} [/tex]

[tex]f(0) = 1[/tex]

[tex]f(1) = ( \frac{1}{4} ) {}^{1} [/tex]

[tex]f(1) = \frac{1}{4} [/tex]

[tex]f(2) = ( \frac{1}{4} ) {}^{2} [/tex]

[tex]f(2) = \frac{1}{16} [/tex]

#IfWrongPleaseReport

An equilateral triangle with side length 4cm is shown in the diagram, work out the area of the triangle.
Give your answer rounded to 1 DP.

Answers

Answer:

4√3cm^2

Step-by-step explanation:

we know that the area of equilateral triangle is √3/4a^2

A women has 6 dogs, 4 cats, and 8 canaries. In how many ways can she select one of each species?​

Answers

I think that it is 10. Hope that this helps :) and Have a nice day

What’s is the answer to 9^11 divided by 9

Answers

well you would type in 9^11 on your calc, then divide the ans by 9 resulting in

3486784401

Answer: 3,486,784,401

Step-by-step explanation:

9 raised to the 11th power is 31,381,059,609

Then divide that by 9 to get 3,486,784,401

An object that is projected straight downward with initial
velocity v feet per second travels a distance s = vt + 16t2,
where t = time in seconds. If Ramón is standing on a
balcony 84 feet above the ground and throws a penny
straight down with an initial velocity of 10 feet per second,
in how many seconds will it reach the ground?
A. 2 seconds
B. 3 seconds
C. 6 seconds
D. 8 seconds

Answers

Answer: 2 seconds

Step-by-step explanation:

An object take 2 seconds to reach to the ground. option A is correct.

An object that is projected straight downward with initial velocity v feet pee second.
s = vt + 16t2
s = 84 feet and v = 10

What is Velocity?

Velocity is ratio of displacement to the time.

We have equation.
s = vt + 16t2
Now, put s =  84 and v = 10
84 = 10t+16t2
8t2+10t-42=0
Taking roots of equation.
We get t = 2 and -21/8
Since time couldn't be negative.
So,
t = 2  

Thus, An object take 2 seconds to reach to the ground.

Learn more about Velocity here:
https://brainly.com/question/18084516

#SPJ2

56 men can do a work in 42 days then how many men will do the same work in 14 days ​

Answers

Given : 56 men can do a work in 42 days .

To Find : In how many men will do the same work in 14 days .

Solution : We will use Unitary method here to solve the above problem . This is a case of inversely proportional that is when one will increase the other will decreases . Here if the number of men will increase then the number of days will decrease and vice - versa .

If in 42 days 56 men can do the work ,

Then in 1 day 42 × 56 men can do the work .

Then in 14 days , [tex]\sf \dfrac{42\times\cancel{56}}{\cancel{14}}[/tex] will do the work = 168 .

Hence 168 men will do the work in 14 days .

[tex]\Large\boxed{\red{\bf Answer = 168 \:men}}[/tex]

*MAKE SURE YOU ANSWER CORRECTLY , I NEED HELP ASAP ON THIS EQUATION*
*I WILL GIVE BRAINLIEST*

Answers

the first option is the correct answer

Answer:

2 ≤y+3 <6

Step-by-step explanation:

y+3 ≥2  and y+3 <6

Let y+3 = x

x ≥2  and x <6

2 ≤x and x<6

2 ≤x <6

Replace x with y+3

2 ≤y+3 <6

Graph a line that contains the point -6,1 and has a slope of 5

Answers

Answer:

y=5x+31

Step-by-step explanation:

y=mx+b

1=(-6*5)+b

1=-30+b

31=b

y=5x+31

(5*-6)+31

-30+31

1

you can also graph a line on desmos

y=5x+31 is the equation. This image is the graphed version of that. I hope this helps!

solve each equation using the quadratic formula. 4x^2-13x+3

Answers

Answer:

( 4 x − 1 ) ( x − 3 )

Step-by-step explanation:

Factor by grouping.

Answer:

Your answer is: x = 3 , 1/4

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.

Step-by-step explanation:

Hope this helped : )

what equation would make it a vertical line

Answers

Y=Mx+b always makes a straight line that can go in any direction

Given f(x)=70+11x, find f(x)=158

Answers

Answer:

x=8

Step-by-step explanation:

I am assuming you need to find which x value fits this.

So set the two equations equal to each other

158=70+11x, subtract 70 from both sides

88=11x, now, divide by 11 to get x by itself,

8=x, to find these answers, use a calculator or any other method you want.

7

Pls answer I’m to tired for this
What is the midpoint
between (-2, -3) and
(1, 2)?
a) (-1,-)
b) (-:-)
c) (-1,-)
d) (-3,-)

Answers

Answer:

I think it's B

...........

Answer:

d

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (1, [tex]\frac{1}{2}[/tex] ), thus

midpoint = ( [tex]\frac{-2+1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) =  ( [tex]\frac{-1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], [tex]\frac{-\frac{5}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{4}[/tex] ) → d

CAN SOMEONE HELP ME ?

Answers

Answer:

sure ill help

Step-by-step explanation:

Answer:

a+b=f

Step-by-step explanation:

180-f= c

180-(a+b)= c

SO

a+b= f

Can someone help me please

Answers

Either C or A, I know it’s not too much help but risk it for the biscuit on C

Answer:

its c

Step-by-step explanation:

took the testisk...........

how do you convert fractions to decimals?​

Answers

Answer: division :3

Step-by-step explanation:

The line in a fraction that separates the numerator and the denominator represents division.

To convert a fraction to a decimal, divide the numerator by the denominator.

Maggie‘s brother is 11 years younger than four times her age. The sum of their ages is 54. How old is Maggie?

Answers

Answer:

Maggie is 13

Step-by-step explanation:

Honestly, I just kept trying ages starting from 10 because I knew it wasn't going to be less than that. Then I did whatever age, in this case 13, and multiply it by  4. Then minus 11 from that number. Then take that end number and add it to the beginning number(maggies age) and you should get 54.

Math Equation Explanation:

13*4 = 52                           (Maggies Age) x 4

52-11= 41                            The question stated that Maggie's brother was 11                                             -------------------------------------years younger than her age times 4.

41 + 13 =54                          The sum of both their ages.

find the value of x.

Answers

Answer:

x=11

Step-by-step explanation:

take 90+35 = 125

then take 180-125=55

then take 55 divided by 5 to get the answer of 11

is this a function or not

Answers

Answer:

No

Step-by-step explanation:

x=5 produces y=3 and y=5 so the relation is not a function.

Yes that is function by looking that this

y

the product of a number and 13 increased by 5 is -12

Answers

Answer:

13x + 5= -12

hope this helps :)

Marcia has a monthly income of $3,500. She budgets 8% for her cell phone. What amount does she budget for her cell phone, in dollars and cents?

Answers

Answer:

[tex]280 \: dollars[/tex]

Step-by-step explanation:

[tex]3500 \times .08 = 280[/tex]

Simple as that ^^^ Just find 8% of 3500

280,00$

8% of 3500$ equals to

(8/100)*3500=

280,00$=

Pls pls Pls pls pls helpppp meee asappppp i will give BRAINLIEST!!!!!!

Answers

Answer:

27ft

Step-by-step explanation:

Answer:

its simple you will need 5ft of carpet

Step-by-step explanation:

BRAILIEST, 5 STARS, A THANKS, AND 35 POINTS!!!
Noah’s scores for four Spanish quizzes are 70, 75, 83, and 80. What score must he get on the next quiz to achieve an average of at least 80?

Answers

Answer: 92

Step-by-step explanation:

Here's our set-up:

(70 + 75 + 80 + 83 + x) / 5 = 80

Simplify:

(308 + x) / 5 = 80

Multiply both sides by 5:

308 + x = 400

Subtract 308 from both sides:

x = 92

Answer:

92

Step-by-step explanation:

In order to get an 80 in 5 tests, he needs to accumulate 400 points.

If he accumulated 80+70+75+83 points, 308, he would need a 92 on the next test to get an 80 average.

What is the value of f(-3) if f(x) = -5x - 1

Answers

Divide both sides by three

Answer:

F(-3)= -14

Step-by-step explanation:

f(x)= -5x-1

f(x)=-5(-3)-1

f(x)= -15-1

f(x)=-14

The measure of the sides of a
triangle are in the extended
ratio of 3:5:7. The perimeter
of the triangle is 45 in. What
are the measures of the three
sides?
a) 6, 16, 23
b) 8, 15, 22
c) 6,9,15
d) 3, 5, 7
e) 9, 15, 21

Answers

Answer:

e) 9, 15, 21

Step-by-step explanation:

First you multiply each number in the ratio by x and set it equal to the perimeter or 45 in this case.

3x + 5x + 7x = 45

Then you add the like terms and get

15x = 45

Solve for x

x = 3

Now multiply 3 by each number

3•3= 9

3•5= 15

3•7= 21

Answer: 9, 15, 21

PLS TELL ME WHICH ONE IS TRUE PLS DONT LIE

Answers

I believe the answer is B sorry if i am incorrect
a is the correct answer

When Lucy left her house in the morning, her cell phone battery was partially charged. Lucy's phone lost battery life at a rate of 8% each hour and 3 hours after leaving her house, the battery had 16% remaining battery life. Write an equation for B , B, in terms of t , t, representing the charge remaining in Lucy's battery, as a percentage, t t hours after Lucy left her house.

Answers

Answer:

B = 40 - 8t

Step-by-step explanation:

Given that:

Rate at which battery life discharges = 8% per hour ;

Battery life left after 3 hours = 16%

t = hours after Lucy left hiuse

Equation B will be ;

Amount of charge before leaving home - (Discharge rate * number hours)

Amount of charge before leaving home :

Charge left after 3 hours + discharge rate * 3

16% + 8*3

16% + 24% = 40%

Hence,

B = 40 - 8t

Answer:

probably B = 40 - 8t

Step-by-step explanation:

y = 4x2 - 5X-10
vertex

Answers

Answer:y=4×2 - 5x-10.y=8 -5x-10.y= -3x -10.

At noon the temperature was 0°C. If the temperature then rose 3°C per hour, what was
the temperature after 7 hours?

Answers

Answer:

21 degrees

Step-by-step explanation:

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