Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengths of the pool, she had covered one quarter of her intended distance. How many lengths of the pool did she intend to complete?

Answers

Answer 1

Answer:

E. 120

Step-by-step explanation:

A. 40

B. 72

C. 80

D. 100

E. 120

Let

x = the intended distance

y = length of the pool

She covers one fifth of her intended distance

Distance covered = 1/5 of x

= x/5

After swimming six more lengths of the pool she had covered one quarter of her intended distance

x/5 + 6y = 1/4 of x

x/5 + 6y = x/4

Collect like terms

6y = x/4 - x/5

6y = 5x - 4x/20

6y = x/20

x = 20 * 6y

= 120y

x = 120y

The intended distance Rebecca wants to cover = 120


Related Questions

Write the equation in point-slope form of the line that passes through (7, -6) and has the slope of 1/2.

PLS HELP

Answers

Answer:

y=1/2x-6

Step-by-step explanation:

use the equation y=mx+b

m=slope and b=y-intercept.

we know that the slope is 1/2 and the point is in (x,y) form so for b we can insert the b as -6 , the point that intercepts the y-axis. hope this helps!!

A person can pay $6 for a membership to the art museum and then go to the museum for just $1 per visit. Write an equation that shows the relationship between the number of visits x and the total cost y. Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

y = 6 + x

Step-by-step explanation:

Membership fee = $6

Fee per visit = $1

Let

x = number of visits

y = Total cost

Total cost = fixed cost + variable cost

Fixed cost = Membership fee = $6

Variable cost = Fee per visit × number of visits

= $1 * x

= $x

Total cost = fixed cost + variable cost

y = $6 + $x

y = 6 + x

I'm doing a worksheet about dividing fractions and I dont understand it. it's asking me to estimate and then write the quotient in simplest form. the problems are 1.) 1/2 ÷ 1/4. 2.) 4/5 ÷ 2/3. 3.) 14/15 ÷ 7. 4.) 8÷ 1/3. 5.) 12/21 ÷ 2/3. 6.) 5/6 ÷ 5/12. 7.) 5/8 ÷ 1/2.
can anyone help me?​

Answers

1. answer: 2

2. answer: 1 and 1/5

3. answer: 2/15

4. answer: 24

5. answer: 6/7

6. answer: 2

7. answer: 1 and 1/4

Explanation: Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes  _________.

For fraction multiplication, multiply the numerators and then multiply the denominators to get ______.

Davis used a drawing and a scale factor of 4 to design his triangular yard. The area of the yard is 400 ft². He wants to find the area of the scale drawing. A smaller triangle has an area of x. A larger triangle has an area of 400 feet squared. Davis knows that the original area times the square of the scale factor will equal the enlarged area. What is the area of the scale drawing? (Scale drawing)(Scale factor)2 = Enlarged Area (x)(4)2 = 400 16x = 400 x =

Answers

Answer:

25

Step-by-step explanation:

Answer:

it is 25 :)

Step-by-step explanation:

Solve for x and y, please help!

Answers

Answer:

x = 37, y = 9

Step-by-step explanation:

3x + 11 and x + 21 are same- side interior angles and are supplementary, thus

3x + 11 + x + 21 = 189 , that is

4x + 32 = 180 ( subtract 32 from both sides )

4x = 148 ( divide both sides by 4 )

x = 37

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

3x + 11 = 3(37) + 11 = 111 + 11 = 122

14y - 4 and 3x + 11 are vertical angles and congruent, thus

14y - 4 = 122 ( add 4 to both sides )

14y = 126 ( divide both sides by 14 )

y = 9

A restaurant bill is $20. Find the 15% tip.

Answers

Answer:

You want to leave a 15% tip on a meal that cost $20. 0.15 x $20.00=$3.00. So, the amount of tip you are going to leave is $3.00.

Step-by-step explanation:

Answer $3.00

Step-by-step explanation:

Please Help ASAP! 8 POINTS!!

Ashley spends ⅙ hours of a day online. Ashley spends 3/8 of that time writing a blog. How long does Ashley spend writing a blog?

Answers

Answer:

It should be 1/16

Step-by-step explanation:

The word of in a word problem means multiplication so if you multiply you get 1/16

Answer:

Step-by-step explanation:

Time spend on online = 1/6 of 24 hours

                                    = [tex]\frac{1}{6}*24[/tex]

                                    =  4 hours

Time spend on writing a blog = 3/8 of 4

                                                 = [tex]\frac{3}{8}*4[/tex]

                                                 = [tex]\frac{3}{2}= 1\frac{1}{2}[/tex]

                                                 = 1 hour 30 minutes

There is a proportional relationship between the number of months a person has had a streaming movie subscription and the total amount of money they have paid for the subscription. The cost for 6 months is $47.94. What is the constant of proportionality in this relationship? What does the constant of proportionality tell us about the situation?

Answers

Answer: proportionality constant = 7.99

It means for every 1 month, the amount need to pay = $7.99 .

Step-by-step explanation:

When y is directly proportional to y , then the equation for this relationship is given by :-

[tex]y=mx[/tex],   (i)

where m is the proportionality constant.

here, it is given that number of months a person has had a streaming movie subscription  is proportional to the total amount of money they have paid for the subscription.

If cost for 6 months is $47.94.

Put x=  6 and y= 47.94  in (i), we get

47.94 =6m

Divide both sides by 6 , we get

7.99 =m

So proportionality constant = 7.99

It means for every 1 month, the amount need to pay = $7.99 .

The constant of proportionality (k) is 7.99. This tells us that the subscription per month is $7.99.

Recall:

A proportional relationship is modelled with the equation, y = kx.

k is the constant of proportionality between y and x.

k = y/x

Given:

x = number of months (6)

y = total amount paid for subscription (47.94)

If 6 months subscription costs $47.94, therefore,

k = 47.94/6

k = 7.99

Constant of proportionality is therefore 7.99. This tells us that the subscription for per month is $7.99.

Learn more here:

https://brainly.com/question/11703625

What is the product of 70 and 1.8 x 10^3 expressed in scientific notation?

Answers

Answer:

70 x 1800 = 126000=1.26 x 16^5

The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The numbers are given below.

70 and 1.8 × 10³

The product of 70 and 1.8 × 10³ expressed in scientific notation will be

⇒ 70 × 1.8 × 10³

⇒ 126 × 10³

The product of 70 and 1.8 × 10³ expressed in scientific notation will be 126 × 10³.

More about the Algebra link is given below.

https://brainly.com/question/953809

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If (ax^2 + 3x + 2b) - (5x^2+bx-3c)=3x^2-9, what is the value of A + B + C?

Answers

Answer:

We have the equation:

(ax^2 + 3x + 2b) - (5x^2+bx-3c)=  3x^2 - 9

First, move all to the left side.

(ax^2 + 3x + 2b) - (5x^2+bx-3c) - 3x^2 + 9 = 0

Now let's group togheter terms with the same power of x.

(a - 5 - 3)*x^2 + (3 - b)*x + (2b + 3c + 9) = 0.

This must be zero for all the values of x, then the things inside each parenthesis must be zero.

1)

a - 5 - 3 = 0

a = 3 + 5 = 8.

2)

3 - b = 0

b = 3.

3)

2b + 3c + 9 = 0

2*3 + 3c + 9 = 0

3c = -6 - 9 = -15

c = -15/3 = -5

Then we have:

a = 8, b = 3, c = -5

a + b + c = 8 + 3 - 5 = 6

HELP PLS
BRAINLIEST IF CORRECT

Answers

Answer:

I think it would be 1 and 3

Step-by-step explanation:

The correct answer is the first, second, and third.

1st Option-

This is pretty simple if you understand how a number line works. All the numbers on the right side are greater no matter what.

2nd Option -

All numbers on all sides could be rational, as we don't know what kind of number line this is.

3rd Option-

This is also correct because like the previous statement, the number line is unknown. We could have repeating numbers as long as the ones on the left side are less than the ones on the right.

4th Option -

This is incorrect because no matter what number line you have, the numbers on the left side are ALWAYS less than the ones on the right.

−8x+9y=-21 -3x+9y=−36

Answers

Answer:

x=-3  y=-5

Step-by-step explanation:

big brain

i need help with this​

Answers

okay. so the constant of proportionality is -2.75, since you divide the feet dug (y) by the amount of hours it took (x). so, you would just divide -38.5 by -2.75 and get 14 hours.

At a basketball game, a vender sold a combined total of 222 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.

Answers

Answer:

Probably 169

Step-by-step explanation:

I divided 222 by 2 and got 111 so i added 58 and got 169

111+58=169

If im incorrect please correct me so i can learn as well :D

HELP!!!
This is a geometry question!
Please give reasoning with your answer!
I can and will mark a "real" answer brainliest!

Answers

Answer: Reflect across the Y and and move it 7 down

Step-by-step explanation: Reflecting across the Y will turn the (X,Y) into (-X,Y) then you just count how many places the image is away from the preimage.

NEED HELP ASAP!!!!! WILL GIVE BRAINLIEST!!

2+2

Answers

Answer:

2+2=4

Step-by-step explanation:

You've got this man.

Answer:

4

Step-by-step explanation:

Account
Does this equation have a single solution, Inhnite solutions, or no solution?
Dashboard
2x + 2x + 2 = 4x + 2
Courses
teolition
Calendar
Inhnite solutions
ne solution
Inbox
Next
Hele
No new data to save Last checked at 5: Sopm
Submit Quie

Answers

Answer: Not sure why you copied the text of the website as well, but it has infinite solutions. You get 4x + 2 = 4x + 2, or 0 = 0.

Step-by-step explanation:

Help please it's a simple question I think but answer it please ​

Answers

Answer:

D. 36

Step-by-step explanation:

because to find volume we should multiply all the side

Answer:

d.36in    

Step-by-step explanation:

Let p=2n+1 for n=10, 20, 30, or 40. For which value of n does p2−1 have the most factors?

Answers

Answer:

For n= 40 p has 7 factors

For n= 20 p has 7 factors

For n= 10 p has 6 factors

For n= 30 p has 6 factors

Step-by-step explanation:

p = 2n + 1

Putting the value of n= 10

p1= 20+1= 21

Putting the value of n= 20

p2= 40+1= 41

Putting the value of n= 30

p3= 60+1= 61

Putting the value of n= 40

p4= 80+1= 81

p2- 1= (p+1)(p-1)

         = (81+1)(81-1)

         =( 82)(80)

          = 6560

             = (1312)5

             = 328)4)5

             = 41 (2)(2)(2)(2)(2)(5)

p2- 1= (p+1)(p-1)

         = (61+1)(61-1)

          =( 62)(60)

          =3720

            = (465)(8)

            = (93)(5)(8)

             = (31)(3)(5)(2)(2)(2)

p2- 1= (p+1)(p-1)

         = (41+1)(41-1)

          =( 42)(40)

          = 1680

           = (7)(3)(5*2)(2*2*2)

p2- 1= (p+1)(p-1)

         = (21+1)(21-1)

         =( 22)(20)

         = 440

         = (11)(2)(5)(2)(2)

Write the equation in slope-intercept form of a line that is parallel to y= -8x - 2 and goes through the point (-1, 11)

Answers

Answer:

y=-8x+3

Step-by-step explanation:

Slope-intercept form means

[tex]y=mx+c[/tex]

To write the equation in this form we need two things firstly m which is the slope and secondly c which is the y-intercept.

Since the line is parallel to  [tex]y=-8x-2[/tex] as given in the equation and as we know that parallel lines have the same slope. So our new desired line that we need has a slope of -8 which is m. Now all we need is the y-intercept. For that we take the coordinate [tex](0,y)[/tex] because y-intercept means the line intersects the y-axis and if the line intersects the y-axis that specific point lies on the y-axis which is [tex](0,y)[/tex] so we put all the values in our desired equation and the coordinate that is also given to us [tex](-1,11)[/tex] because the line goes through this point it must lie on the line and hence we can use this point as well so now,

[tex]y=mx+c\\y=-8x+c\\11=-8(-1)+c\\11=8+c\\3=c[/tex]

so, the equation becomes,

[tex]y=-8x+3[/tex]

Help me please :>>>>>

Answers

Answer:

B, D

Step-by-step explanation:

The correct answer is B and D

what does -11/2 - 7/3 equal



Answers

Answer: - 47/6   or in mixed number form  - 7  5/6

Step-by-step explanation:

what is the slope of this line?​

Answers

Answer:

slope is 1/4

Step-by-step explanation:

Use rise over run

The slope of the line will be equal to 1/4.


What is a slope?

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run of the line.

The formula to calculate the slope of the line is given as,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line is passing through points ( 0,6) and (8,8). The slope of the line is calculated below,

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Slope = (8 - 6 ) / ( 8 - 0)

Slope = 2 / 8

Slope = 1 / 4

Therefore, the slope of the line will be equal to 1/4.

To know more about slopes follow

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What are the zeros of the following polynomial? 0=(x+5)(x-2)(x-3)

Answers

The zeroes are -5, 2, and 3

Mr. Chavez spent $199.99 for a new smart phone, $39.99 on a carrying case, and $59.99 on accessories. The expression |-199.99| + |-39.99| + |-59.99| represents the total amount that Mr. Chavez spent. How much did Mr. Chavez spend altogether? Check your answer using estimation.

Answers

Answer:

$299.97

Step-by-step explanation:

Given that :

Total Amount spent :

New smart phone = $199.99

Carrying case = $39.99

Accessories = $59.99

Total amount spent is represented by the expression :

The expression |-199.99| + |-39.99| + |-59.99|

Since it is denoted using absolute value :

$(199.99 + 39.99 + 59.99) = $299.97

|-299.97|

Solve for x. Perimeter = 126 meters

Answers

Answer:

image or context?????

Step-by-step explanation:

Idek man I’m lost whereeeee

Question 7 (Essay Worth 5 points) (02.03) Part A: Use ratio language to describe the relationship of any two things you can think of. Example: For every 5 minutes of jogging, I ran 500 yards. Be creative and come up with your own idea. Part B: Determine the unit rate in your example.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

For every 3 hours of weeding performed, I consume 5 litres of water.

This means that, I drink 5 litres of water whenever I weed for a total of 3 hours.

The unit rate :

The liters of water consumed per hour :

3 hours = 5 litres

1 hour = x

3x = 5

x = 5 /3

x = 1.67 litres

1.67 litres of water per hour of weeding performed

.

Answer:

an intruder is coming close brainly for a little please!!!!!!!!!!!!!!!!!

Step-by-step explanation:

The price of a stove is s dollars. Pedro makes a 10% down payment for a two-year installment purchase. The monthly payment is m dollars. Express the finance charge algebraically.​

Answers

Answer:

0.2

Step-by-step explanation:

A parabola has its axis of symmetry at x = -2 and passes through the point (-5, 6). Find another point that passes through the parabola.

Answers

Answer:

(1,6)

Step-by-step explanation:

Since the parabola is symmetrical at x=-2, we know that if you take the value for (x-a) and (x+a) where a is any constant, the y values will be the same for both of those x coordinates. so, we can take the coordinate that we know, (-5,6), realize that it is -3 away from -2. then we can add three to get 1 and use the same y coordinate, getting (1,6)

Express the following number as a decimal:
2 x 10^-6

Answers

Answer:

0.000002

Step-by-step explanation:

2* 10^-6

is the same as

2 * 0.000001

which is

0.000002

Answer:

The answer is: 0.000002

Step-by-step explanation:

Have a great day!

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