please help i'm stuck :,)

Jacob and Sophia are in a running club and record how long it takes them to run a 5-kilometer race. Jacob's time was 4 minutes under the average time of the running club. The difference between Jacob's time and Sophia's time is 10 minutes. The possible times of Sophia's run are ____ minutes below the average or ____ minutes above the average.

Answers

Answer 1

Answer:

14 minutes below or 6 minutes above

Step-by-step explanation:

Let's say Sophia's time was 10 minutes WORSE

4 minutes below average- 10 minutes= 14 minutes below average

Let's say Sophia's time was ten minutes BETTER

4 minutes below average + 10 minutes= 6 minutes above average.

Hope this helps!

Answer 2
Answers:

14 minutes below the average

6 minutes above the average

=====================================================

Let A = average running time

Jacob's time was 4 minutes under the average, so his time is A-4 minutes. Whatever A is, subtract off 4, and you'll get Jacob's time.

Sophia and Jacob have a difference of 10 minutes. If J = Jacob's time and S = sophia's time, then S-J = 10 or J-S = 10 depending on who has the larger time.

We can use absolute value to ensure that whatever we pick (S-J or J-S) will be positive. So |S-J| = 10. Recall that absolute value represents distance on a number line. Negative distance isn't possible.

-------------

Let's plug in J = A-4 and solve for S

|S-J| = 10

|S - ( J )| = 10

|S - (A-4)|

|S-A+4| = 10

S-A+4 = 10  or  S-A+4 = -10

S-A = 10-4  or  S-A = -10-4

S-A = 6  or  S-A = -14

S = A+6 or S = A-14

The equation S = A+6 shows Sophia is 6 minutes above the average

The equation S = A-14 shows Sophia is 14 minutes below the average

-------------

Let's pick some number for A that is over 14 minutes. Let's say the average running time is A = 20 minutes.

If A = 20, then Jacob's time is J = A-4 = 20-4 = 16

If the average running time is 20 minutes, then Jacob ran for 16 minutes.

If we subtract 10 from this, then J-10 = 16-10 = 6 is one possible time for Sophia. Notice how this is 14 minutes below the average (20-14 = 6)

If we add 10 to Jacob's time, then J+10 = 16+10 = 26, which is 6 minutes overage the average (20+6 = 26)

This is one numeric example, but you could use any value of A that you want as long as it's larger than 14. The reason A has to be larger than 14 is to ensure that Sophia's lower time value (A-14) is not negative. Having a time of zero is not feasible either.


Related Questions


10. Separate the number 38 into two parts so
that one number is 6 less than the other
number

Answers

Answer:

16, 22

Step-by-step explanation:

x+x+6=38

2x+6=38

2x=32

x=16

One number is 16, Another number is 22

16+22=38

22-16=6

Which table represents a linear function?

x---y
0---1
1---2
2---4
3---8

x---y
0---0
1---1
2---3
3---6

x---y
0---0
1---1
2---0
3---1

x---y
0---1
1---3
2---5
3---7​

Answers

Answer:

I am pretty sure the last one is correct

The table that represents a linear function is:

x---y

0---1

1---2

2---4

3---8

Here, we have,

from the given tables, we get, the information that,

from the 1st table, we get,

x---y

0---1

1---2

2---4

3---8

In this table, the y-values increase by a constant difference of 1 as the x-values increase by a constant difference of 1.

This indicates a linear relationship between x and y, where the y-value is twice the x-value.

but, in the other tables, we can't get any linear relationship between x and y.

so, we get,

The table that represents a linear function is:

x---y

0---1

1---2

2---4

3---8

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PLEASE HELP!!! MATH FINAL

Answers

Answer:

He Won 26 Box trolls and 11 Pikachus

Step-by-step explanation:

You subtract 37-11 which would get you 26

26 and 11...............

. Keisha and her mom are at the grocery store. Keisha's mom allows her to buy a 2 pound bag of candy. Keisha can choose gummy worms, which are .40 cents per pound, or she can choose sour patches, which are .60 cents per pound. How much of each candy can Keisha buy?

Answers

Answer:

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

Step-by-step explanation:

Keisha is allowed to buy only 2 pounds bag of candy.

Now, she can choose either gummy worms or sour patches.

Gummy worms are 0.4 cents per pound while sour patches are 0.6 cents per pound.

Thus, maximum amount she can spend on gummy worms is; 0.4 × 2 = 0.8 cents

Maximum she can spend on sour patches is; 0.6 × 2 = 1.2 cents

She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches

Please someone help meee!!

Answers

Option B is the correct answer

How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.

Answers

Answer:

10

BEEP

BPEE

BEPE

EEPB

EEBP

EBEP

EPEB

PBEE

PEEB

PEBE

Answer:

12

Step-by-step explanation:

4! is 4*3*2*1

since there were 4 letters 4 could be chosen at the first letter

since one of the letters were chosen only 3 could be chosen as the second letter

and then it is 2 because there are 2 letters left

and 1 because there is only 1 letter left

so 4!

Then you divide by 2 because the 2 es are indistinguishable

What is the solution of the equation x2=64

Answers

The answer for the equation is x=32

if 3n-4=8 then what is the value of 5n-3 ​

Answers

Answer:

17

Step-by-step explanation:

Given

3n - 4 = 8 ( add 4 to both sides )

3n = 12 ( divide both sides by 3 )

n = 4

Thus

5n - 3 = 5(4) - 3 = 20 - 3 = 17

12 5/8 in decimal form

Answers

The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00 per hour. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00 per hour.

Choose a function to represent this scenario

Answer:

12.625

Step-by-step explanation:

12 is a whole so it would go before the decimal point.

5/8 or 5 divided by 8 is equal to 0.625.

12 + 0.625 = 12.625

Help asap!!
Jenny predicted that she would sell 12 bracelets, but she actually sold 16 bracelets. Which expression would find the percent error? Use the table below to help answer the question.


Percent Error


Item

Approximate value

Exact value

Error

Absolute error

Ratio

Percent error

Bracelets

12

16

–4

4


-4/12(100)

-4/12

4/16

4/16(100)

Answers

4/16(100)

Step-by-step explanation:

Answer:

4/16(100)

Step-by-step explanation:

The number of animals at the is shown in the table. Write a ratio to represent giraffes to otters.

Answers

Answer:

The ratio of giraffes to otters is 8:16. If simplified it's 1:2

Step-by-step explanation:

9 is 10 times the value of the 9 in 329,513
2 is 110 the value of the 2 in 7,562
6 is 110 the value of the 6 in 4.68

Answers

Answer:

498,173.26.

Step-by-step explanation:

The place value of 9 in the number 3, 29,513 = 9000

In the required number,

Place value of 9 is 10 times of the value of 9 in 329, 513 = 9000 * 10 = 90,000

The value of 2 is one-tenth of 2 in 7562 = 2/10 = 0.2

The value of 6 is one-tenth value of 6 in 4.68 = 0.60/10 = 0.06

Thus, the required number would be 498,173.26 as the other numbers do not justify the above conditions of having 9 at ten thousand place, 2 at tenth, and 6 in hundredth place.

pleassseee help will give good rating and brain :)

Answers

Answer:

Step-by-step explanation:

1. (x-3)(x+8)

x^2+5-24

2. (-3x+2)(4x+5)

-12x^2-7x+10

3. (x+4)(x-4)

x^2-16

4. (x+5)^2

x^2+10x+25

5. (2x-7)^2

4x^2-28x+49

6. (x-7)(x+7)

x^2-49

7. (5x-1)(2x+4x-3)

30x^2-13x+3

8. (3x^3+7x^2+7x+10

Sara pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas. Let b represent the price per pound of bananas. What equation represents the situation, and what is the price per pound of each fruit?

Answers

The price of one pound of banana = b

As one pound of oranges costs $0.75 more than one pound of bananas, so, the price of one pound of orange = b+0.75.

The price of 3 pounds of banana = 3b,

and the price of 2 pounds of oranges = 2(b+0.75).

Now, as she pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.

So, for this situation the required equation is

3b + 2(b+0.75) =4.5

On solving this equation, we have

[tex]\Rightarrow 3b+2b+2\times0.75=4.5[/tex]

[tex]\Rightarrow 5b +1.5=4.5[/tex]

[tex]\Rightarrow 5b =4.5-1.5=3[/tex]

[tex]\Rightarrow b =\frac 3 5=0.6[/tex]

Hence, the price of one pound of banana = $ 0.60

and the price of one pound of orange

=b+0.75= 0.60+0.75=$1.35.

helppp pleaseee
Consider the functions below.

f(x) = x
g(x) = 3x

Which of the following statements describes the graph of function g?

The graph of g is 3 times steeper than the graph of f.
The graph of g is 3 units to right of the graph of f.
The graph of g is 3 units to left of the graph of f.
The graph of g is times as steep as the graph of f.

Answers

Answer:

The graph of g is 3 times steeper than the graph of f.

Step-by-step explanation:

I just did it and got it right

Answer:

The graph of g is 3 times steeper than the graph of f.

Step-by-step explanation:

Solve the power equation
x to the 1/2 power + 3=5

Answers

Answer:

x = 4

Step-by-step explanation:

Solve for  x  by simplifying both sides of the equation, then isolating the variable.

*EXTRA POINTS PLEASE ANSWER* What is the slope and y-intercept in the equation y = x - 4. *

Answers

Answer:

slope: 1

y-intercept : (0, -4)

Step-by-step explanation:

hope this helps! :D

Answer:

x-intercept(s): (4,0)

y-intercept(s): (0,-4)

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Which of the following shows the greatest percent increase?

A. 50 increased to 75
B. 500 increased to 700
C. 5,000 increased to 7,000
D. 50,000 increased to 74,000

Answers

50 increased to 75 (option A) shows the greatest percent increase.

How to solve for percentage increase?

To determine which of the given options shows the greatest percent increase, we can calculate the percent increase for each option using the following formula:

percent increase = (new value - old value) / old value x 100%

Using this formula, we can calculate the percent increase for each option as follows:

A. percent increase = (75 - 50) / 50 x 100% = 50%

B. percent increase = (700 - 500) / 500 x 100% = 40%

C. percent increase = (7,000 - 5,000) / 5,000 x 100% = 40%

D. percent increase = (74,000 - 50,000) / 50,000 x 100% = 48%

Therefore, the option that shows the greatest percent increase is option A, which increased from 40 to 75, a percent increase of 50%.

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Which graph shows a set of ordered pairs that represent a function ?

Answers

Answer:

C

Step-by-step explanation:

if you draw a line between the points then draw vertical lines they dont cross more than one dot

Stephen plans to attend community college for two years. His expenses are only $2,000 each year, because his parents are paying the rest. He earned a one-time $900 scholarship. How much will he need to pay for the two years of college from his savings or by working? $1,100 $2,200 $3,100 $4,900

Answers

Answer: $3100

Step-by-step explanation:

Stephen plans to attend community college for two years and his expenses are only $2,000 each year. For both years, his expenses will be:

= $2000 × 2

= $4000

Since he earned a one-time $900 scholarship. The amount left to pay will be:

= $4000 - $900

= $3100

Answer:

3100

Step-by-step explanation:

Which equation is the inverse of y = 16x2 + 1?
O y=+T6
x-1
O y =
16
+
Oy AVTO
INX-1
Оy=

Answers

Step-by-step explanation:

[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]

The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Let us find the inverse of the equation y = 16x² + 1.

To find inverse we need to replace y with x and x with y in the original equation to obtain:

x = 16y² + 1

Now solve for y in terms of x by rearranging the terms

x - 1 = 16y²

Divide both sides by 16

y² = (x - 1)/16

Take square root on both sides.

y = ±√[(x - 1)/16]

Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:

y = ±√[(x - 1)/16]

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4j+2=h solve for j please help

Answers

Answer:

j = [tex]\frac{h-2}{4}[/tex]

Step-by-step explanation:

Given

4j + 2 = h ( subtract 2 from both sides )

4j = h - 2 ( isolate j by dividing both sides by 4 )

j = [tex]\frac{h-2}{4}[/tex]


f(x) = x2 + 1
What is f(f(x))?

Answers

Answer:The x could just mean a variable but I don't know what F means sorry.

Step-by-step explanation:

the f is most likely a variable but i don’t think it matters. but i don’t really know sorry

1890s was rounded to the nearest 10 what is the upper bound ​

Answers

Answer:

When rounding to the nearest ten, like we did with 1890 above, we use the following rules:

A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Step-by-step explanation:

Mrs. Lowry drove 20 miles in 25 hour. What is Mrs. Lowry’s speed in miles per hour?

Answers

Answer:

Mrs. Lowry is driving 0.8 mph.

Step-by-step explanation:

If she is going 20 miles per 25 hours you would set up the problem as 20/25 or 20 ÷ 25. This is because you need to get down to how many miles she is traveling per 1 hour. So, 20 ÷ 25 = 0.8. Therefore she is going 0.8 miles per 1 hr.

help if u can please

Answers

Money with Tom = ×

Money with Aaron = x + 8

Their sum = $20

This can be written as :

= x + x + 8 = 20

= 2x + 8 = 20

= 2x = 20 - 8 ( transposing +8 from LHS to RHS changes +8 to -8 ) .

= 2x = 12

= x = 12 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 ) .

= x = 6

Which means ,

Tom has = x = $6

Aaron has = x + 8 = $6 + $8 =

= $14

Therefore , Tom has = $6 and Aaron has = $14 .

Can someone please answer my math question:(

Answers

Answer:

were is the pic I cant answer lik

Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He concludes that she is not running fast enough to exceed her fastest time.

Answers

Answer:

Answer: The question is a multiple choice so it's A and C:)

Answer:

He used an incorrect time ratio converting hours to minutes.

He incorrectly concluded that she is not running fast enough.

Last question!

Find the equation of the line

Y=__x +__

Answers

The answer is y=-2/6x + 5

You receive a gift card for an
online game. Every time you play,
you spend the same amount of
money. After playing 2 games,
the card balance is $17.70. After
5 games, the balance is $14.25.
Determine the original value of the
card. Explain.

Answers

Answer: $20

Explanation: If you have $17.70 after 2 games and $14.25 after 5, you do 17.70-14.25; which equals $3.45 so in 3 games you spend $3.45 now divide that by 3 to determine the unit value; which equals $1.15, so you spend $1.15 on every game now times that by 2 which is $2.30 and add that to $17.70 to see the original amount of money on the card which was $20
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