Grace and Zoe like to jump rope grades jump 66 times a minute Zoe jumps 56 times a minute they both Count Their jumps today and together they jump 1266 times in the total of 21 minutes how long did each girl jump

Answers

Answer 1

Answer:

Grace jumps for 9 minutes.

Zoe jumps for 12 minutes.

Step-by-step explanation:

Let the time for which Grace jumps the rope = [tex]x[/tex] minutes

Let the time for which Zoe jumps the rope = [tex]y[/tex] minutes

As per question statement:

[tex]x+y=21 ..... (1)[/tex]

Number of times Grace jumps in one minute = 66

Number of times Zoe jumps in one minute = 56

Number of times Grace jumps in [tex]x[/tex] minutes = 66

Number of times Zoe jumps in [tex]y[/tex] minutes = 56

As per question statement:

[tex]66x+56y=1266 ...... (2)[/tex]

Multiplying equation (1) with 66 and subtracting equation (2) from it:

[tex]10y = 1386 - 1266\\\Rightarrow 10y=120\\\Rightarrow y =\bold{12\ min}[/tex]

By equation (1):

[tex]x=21-12=\bold{9\ min}[/tex]

Therefore, the answer is:

Grace jumps for 9 minutes.

Zoe jumps for 12 minutes.


Related Questions

What is the equation of the line perpendicular to y=-1/5x -2 and contains the point (2, -10)?

Answers

Answer:

y= 5x-20

Step-by-step explanation:

I didn't understand if I had to find the perpendicular line or parallel haha.

You’re welcome :)

Answer:

y = 5x -20

Step-by-step explanation:

for the line to be perpendicular it must have the inverse slope

therefore m = 5

no substitute the point (2, -10) in for (x, y) respectively to find the y intercept

-10 = 5(2) + b

-10 = 10 + b

b = -20

the equation will be y = 5x -20

.
The sale price of a necklace was $77. It had been marked down 30 percent for the sale. What was the original price of the necklace?

Answers

Answer:

List Price = $ 110.00

Discount Amount = $ 33.00

What is the measure of ZB?
20
25
O A. 60
B. 25°
O C. Cannot be determined
D. 75°

Answers

A. 60

Step-by-step explanation:

ZA + ZB + ZC = 180°

180° ÷ 3 = 60°

A. 60°

its an equilateral bc all the sides are the same, meaning that all of the angles would be equal. all triangles add up to 180°, and 60 times 3 is 180°

please , first click on the image then answer me the two questions

Answers

Answer:

Step-by-step explanation:

(m*2)+4=

b+(b*2)+1=

In triangle ABC, AB=5cm, AC = 10cm, and BC = 12 cm
Determine the size of the largest angle.​

Answers

Answer:

The largest angle is <B.

Because, AC is the longest and largest side of ∆ABC. Therefore, the angle opposite the largest side is also the largest.

This is a property in geometry.

Step-by-step explanation:

Please give me Brainlest!

Round 8250 to the nearest hundred.

Answers

Answer:

8300

Step-by-step explanation:

i believe it is 8300 but if im wrong let me know

Solve the system of equations by substitution.
x + y = 40
y = 9x
The solution of the system is?

Answers

x= 4 and y=36 is the answer

Find the difference.
(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =

Answers

Answer:

Step-by-step explanation:

(8x^5+ 6x^3 – 2x² + 10x) – (9x^5– x^3– 13x² + 4) =

-x^5+7x^3+11x^2+10x-4

(2,5),( 3, 6) Rate of change and slope

Answers

Answer:

1 for both slope and rate of change

Step-by-step explanation:

Slope is another word for the rate of change of y with respect to x.

Can some help me?Its due tonight lol

Answers

Answer:

Alright angle b, d, and f are congruent to the 70 degree angle, or in other words the same. Subtract 70 from 180 and you get 110 or the sum of each remaining angles degrees. So angles a, c, g, and e are all 110 degrees.

There are 60 seconds in a minute and 60 minutes in an hour. How many seconds are in one hour?

Answers

Answer:

3,600 seconds

Step-by-step explanation:

multipy how many hours by 3,600

(so 1 times 3,600)

Answer:

3,600 seconds

Step-by-step explanation:

[tex]\frac{60 seconds}{1 minute} (\frac{60 minutes}{1 hour} )=\frac{3,600 seconds}{1 hour}[/tex]

Manny baked 48 cookies for a bake sale. 75% of the cookies were chocolate chip. How many cookies were NOT chocolate chip

Answers

48 (.75) = 36
48 -36 = 12 cookies or 25%

what is the slope of the line through the points (3,7) and (5,15)?
a. 2/5
b. 1/4
c. 4
d. 5/2

Answers

Answer:

C. 4

Step-by-step explanation:

The formula of slopes is: y2 - y1/x2 - x1

m = y2 - y1/x2 - x1

m = 15 - 7/5 - 3

m = 8/2

m = 4/1

m = 4

The slope of the line through the points (3,7) and (5,15) is  4 .

What is slope of line passing through two points ?

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line.

Δy =  change in y coordinate  = y2 - y1

Δx = change in x coordinate = x2 - x1

m = Δy/Δx

where,

m is the slope  

According to the question

Points (3,7) and (5,15)

therefore,

(x1,y1) =  (3,7)

(x2,y2) =  (5,15)

Now ,

The slope of the line  

Using slope formula

m = Δy/Δx

Δy = y2 - y1  

Δy = 15 - 7

Δy = 8

Δx =  = x2 - x1

Δx = 5 - 3  

Δx = 2

Therefore,

m = [tex]\frac{8}{2}[/tex]

m = 4

Hence, the slope of the line through the points (3,7) and (5,15) is  4 .

To know more about slope of line passing through two points here:

https://brainly.com/question/27897581

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4 friends are sharing a new pack of pencils. if there are 12 pencils in each pack how many will each friend get?


(I am lazy to answer this by myself so please help me)​

Answers

Answer:

3

Step-by-step explanation:

3 times 4 equals 12

hope I got it right

Step-by-step explanation:

they would each get 4 pencils

1. True False 3(2 + 4) = 3 x 2 + 4
2. True False 6(10 + 5) = 6 x 10 + 6 x 5
3. True False 7(20 + 8) = 7 + 20 x 8
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Answers

Answer:

1. False

2. True

3. False

4. True

5. True

Answer:

Step-by-step explanation:

1. Fasle

2. True

3. False

The diagram below represents changes that take place within the human body. The diagram
represents *
(1 Point)

Answers

Answer:

Dynamic equilibrium

Step-by-step explanation:

Dynamic equilibrium in the human body is achieved when there is an internal control which tends to oppose certain outside forces which could affect the body. It's known to be the ability to detect and respond to stimuli by living organisms. When these stimuli occur, there are feedbacks or responses that are sent or received by the body to maintain stability. This dynamic equilibrium of the internal environment can also be seen as homeostasis.

ASAP 20 points!!! & BRAINLIEST!

Answers

Answer:

None are parallel.

Step-by-step explanation:

Only when the coordinates have the same distance in both x and y that both lines are parallel, which none of these are.

Hope this helped!

100 POINTS GEOMETRY QUESTION PLEASE ANSWER !!!!!!

Answers

Answer:

Step-by-step explanation:

ABC have sides: 5, 7 and 10

5^2 + 7^2 = 25+47 = 72 < 10^2

so triangle ABC is obtuse

JKL has sides: 12, 35 and 37

12^2 + 35^2 = 144 + 1225 = 1369 = 37^2

so triangle JKL is right-angled

PQR has sides 12, 10 and 16

12^2 + 10^2 = 144 + 100 = 244 > 16^2

so triangle PQR is acute

Answer:

Step-by-step explanation:

missing the Q: it asks 2 classify the triangles.

so the ans:

ABC - obtuse

JKL - right-angled

PQR - acute

help asap please does the graph represent a function

Answers

yes it represents a function.
yes it does represent a function.

–24 + 12d = 2(d – 3) + 22

Answers

Answer:

d = 4

Step-by-step explanation:

Answer:

d = 4

Step-by-step explanation:

–24 + 12d = 2(d – 3) + 22

–24 + 12d = 2d - 6 + 22

–24 + 12d = 2d + 16

–24 + 12d - 2d = 16

12d - 2d = 16 + 24

10d = 16 + 24

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5/5

Answers

Answer:

Point X is the loacation [tex]\pi[/tex], and is an irrational number

Step-by-step explanation:

[tex]\pi[/tex] ≈ 3.14

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Mr. Stack and Coach Pugh are racing down the highway. Coach Pugh is going five miles more an hour than twice Mr. Stack's speed. If Coach Pugh is going one hundred and five miles and hour, how fast is Mr. Stack going?

Answers

Answer:

50

Step-by-step explanation:

2(Mr stack's speed) = Coach Pugh's speed - 5mph

Mr stack's speed = (105mph - 5mph)/2

Mr stack's speed = 100mph/2

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Answers

Your final Andrew will be letter c

Answer:

The answer is in the 4th quadrant

Step-by-step explanation:

I really hope this helped!!! have a great day. :)

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Answers

Answer:

which question is it ??

ASAP WILL MARK BRAINIEST DUE IN 5!!!
The points in each table lie on a line. Find the slope of the line.

O 1/2
O 1
O 2
O None of the above

Answers

Answer: is 1/2

Step-by-step explanation:

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Answers

12^2 + 5^2 = c^2
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Write the ratio 12 to 18 as a fraction in simplest form.

Answers

x to y can be expressed as a fraction this way: x/y.

Let x = 12

Let y = 18

12/18

We can now reduce to lowest terms.

Dividing 12 and 18 by 6, we get 2/3 as the final answer.

The simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.

To express the ratio 12 to 18 as a fraction in simplest form, we can divide both numbers by their greatest common divisor (GCD). The GCD of 12 and 18 is 6. By dividing both numbers by 6, we simplify the fraction to its simplest form:

12 ÷ 6 = 2

18 ÷ 6 = 3

Thus, the simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.

To know more about  simplified fraction:

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what is the slope of the line through [-1,2] and [2,-3]

Answers

Answer:

-3/5

Step-by-step explanation:

to figure that out you have to do y^2 - y^1/ x^2 - x^1

2-(-1)/ -3 - 2

= 3/-5

=-3/5

Find the simple interest earned, to the nearest cent, for the principal, interest rate, and time.
$1,200, 3.5%, 2 years

Answers

Answer:

84

Step-by-step explanation:

1200*3.5*2/100

=84

Answer:

$84

Step-by-step explanation:

You can also do 1,200x 0.035 x2 which equals $84.

Someone, please help I'll give 10 points and brainliest to the person who answers first

Answers

it's the third option. 13x - 12y + 6xy

Answer:

C.

Step-by-step explanation:

5x-12y+8x+2xy+4xy=(5x+8x)-12y+6xy=13x-12y+6xy

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