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

Can u help me please?????

Answers

Answer:

the last one

Step-by-step explanation:

it is the one which is the most fair and would make sense, I don't exactly know how to explain it sorry

The Miller’s budget is $90,240 annually.If both Mr. and Mrs. Miler each work 160 hours per month, what is the average hourly wage needed to meet the budget?Round to the nearest cent.

Answers

Answer:

18

Step-by-step explanation:

Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and x represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of gifts he bought.

Answers

Answer:

y = 9x

Step-by-step explanation:

You can set up linear equations like this: y = mx + b, where m is the slope or rate, and b is the y-intercept.

9 would be the slope, since he has to pay $9 per gift.

The y-intercept is when x = 0, but if he doesn't buy any gifts, he won't have to pay anything, so b = 0. You don't have to include it since it's 0.

So, it's just y = 9x

Hope that helps! :D

Answer:

easy

Step-by-step explanation:

Describe the transformation of each function compared to its parent function.
I need help please!

Answers

Step-by-step explanation:

In general, for all problems like this, remember the acronym VOHI:

vertical outside, horizontal inside.

1. The parent function here would be [tex]f(x)=x^{2}[/tex]. 4 has been subtracted from the inside, so it is a horizontal change. You might think that it is moving left 4, but it's actually moving right 4. There is a reason for this, but it's not necessary for you to know right now. All you need to remember is that when inside the parentheses, minus means moving right, and plus means moving left. You also have a 9 added to the outside. Vertical outside. This is a vertical change, meaning up and down. This function has been moved right 4 and up 9.

2. First, the parent function is again [tex]f(x)=x^{2}[/tex]. This time, we have [tex]\frac{1}{4}[/tex] on the outside of our function. This means it is a vertical transformation. When the value on the outside is > 1, it is a vertical stretch. When the value is between 0 and 1 (0<a<1), it is a vertical shrink. [tex]\frac{1}{4}[/tex] is between 0 and 1. So, this is a vertical shrink by a factor of [tex]\frac{1}{4}[/tex]. Next, there is a 6 on the inside of the parentheses, meaning a horizontal translation. Remember from problem 1, though, minus=right and plus=left. So, this function has been vertically shrunk by [tex]\frac{1}{4}[/tex] and moved left 6.

3. Again, parent function: [tex]f(x)=x^{2}[/tex]. This one just has [tex]\frac{3}{2}[/tex] on the outside. We know that it's on the outside because otherwise there would be parentheses around both [tex]\frac{3}{2}[/tex] and x. There is not, so it is outside. Outside, vertical. This is a vertical change. Looking back at problem two, when a value is >1, which this is, it is a vertical stretch. So this function has a vertical stretch by [tex]\frac{3}{2}[/tex].

I hope this helps!

Transformation involves changing the position and/or size of a function.

The transformations are:

Translate f(x), 4 units right, and 9 units up.Translate f(x), 4 units left, then compress f(x) vertically by 1/4Vertically stretch f(x) by 3/2

[tex]\mathbf{1.\ f(x) = (x - 4)^2 +9}[/tex]

The above function is a square function, and the parent function is:

[tex]\mathbf{f(x) = x^2}[/tex]

First, the function is translated right by 4 units (this is represented by subtracting 4 from x.

i.e.

[tex]\mathbf{f(x) = (x - 4)^2}[/tex]

Next, the function is translated up by 9 units (this is represented by adding 9 to the value of y.

i.e.

[tex]\mathbf{f(x) = (x - 4)^2 + 9}[/tex]

So, the transformation from the parent function is: Translate f(x), 4 units right, and 9 units up.

[tex]\mathbf{2.\ f(x) = \frac 14(x + 4)^2}[/tex]

The above function is a square function, and the parent function is:

[tex]\mathbf{f(x) = x^2}[/tex]

First, the function is translated left by 4 units (this is represented by adding 4 from x.

i.e.

[tex]\mathbf{f(x) = (x + 4)^2}[/tex]

Next, the function is vertically compressed a factor of 1/4 (this is represented by multiplying the function by 1/4

i.e.

[tex]\mathbf{f(x) = \frac 14(x + 4)^2}[/tex]

So, the transformation from the parent function is: Translate f(x), 4 units left, then compress f(x) vertically by 1/4

[tex]\mathbf{3.\ f(x) = \frac 32x^2}[/tex]

The above function is a square function, and the parent function is:

[tex]\mathbf{f(x) = x^2}[/tex]

The function is vertically stretched a factor of 3/2 (this is represented by multiplying the function by 3/2

i.e.

[tex]\mathbf{f(x) = \frac 34 \times x^2}\\[/tex]

[tex]\mathbf{f(x) = \frac 34 \timex x^2}[/tex]

So, the transformation from the parent function is: Vertically stretch f(x) by 3/2

Read more about transformations at:

https://brainly.com/question/13801312

whats 11/12+ 3 1/2 ASAP PLEASE

Answers

Answer:

4 5/12 or 4.4

Step-by-step explanation:

Answer:

4 5/12 or 53/12 or 4.4

Step-by-step explanation:

hope this helps : )

tell me if I'm correct...im not sure....thanks
....first person gets brainliest
itz 4 maths homework​

Answers

Answer:

Genuilly I think you’re correct

sorry if it wrong

but, it looks correct and I think it’s correct

. What part of an hour is your school lunch time?

Answers

Answer: It's from 11:02 till 11:35. hbu?

Step-by-step explanation:

I do it online and I be eating 24/7

find the y-intercept of the line on the graph.​

Answers

Answer:

2 i think

Step-by-step explanation:

3983774 divided by 693.9

Answers

Answer:

5741.135

Step-by-step explanation:

Hope that helped

Answer:

5741.13561032

Step-by-step explanation:

brainliest?? just sayin

Which linear inequality is represented by the graph?
y? +X-4
Oys x-4
Oys-x+4
O yz x+4

Answers

Answer:

B

Step-by-step explanation:

The required inequality expression is y > 2x + 1

Inequality graph

The standard formula of the equation of a line is y = mx + b

where

m is the slopeb is the intercept

From the graph, using the coordinate (1, 3) and (0,1)

Slope = 1-3/0-1
Slope = -2/-1

Slope = 2

Since the line pass through the y-axis at y = 1, hence b =1

The required equation will be y > 2x + 1

Learn more on the inequality graph here: https://brainly.com/question/11234618

A sociologist polled a random sample of people and asked them their age and annual income. The two-way frequency table below shows the results. Annual income vs. age group Less than $50,000 At least $50,000 Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132 Total 186 162 348 Which of the following statements is true of those polled? Choose 1 answer: А A person with an annual income of less than $50,000 is more likely to be 45 years old or above. B A person in the 44 and under age group is more likely to to have an annual income of at least $50,000​

Answers

Answer:

C A person with an annual income of at least \$50{,}000$50,000dollar sign, 50, comma, 000 is more likely to be 454545 years old or above

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​ is a correct statement.

We have given that,

A sociologist polled a random sample of people and asked them their age and annual income.

What is the annual income?

annual income is the amount of money you receive during the year into your bank account, before any deductions.

The two-way frequency table below shows the results.

Annual income vs. age group Less than $50,000 At least $50,000

Total Ages 44 and under 148 68 216 Ages 45 and above 38 94 132

Total 186 162 348

A person with an annual income of at least

[tex]=\$50000\\=$50,000dollar[/tex]

Therefore statement b is true.

A person in the 44 and under age group is more likely to have an annual income of at least $50,000​.

To learn more about the annual income visit:

https://brainly.com/question/6070671

#SPJ2

make g the subject of the formula in w = 7 - sqrt g​

Answers

Answer: g = w² - 14w + 49

[tex]w=7-\sqrt{g}\\\\=> \sqrt{g} =7-w \\\\<=>g=(7-w)^{2}=49-14w+w^{2}[/tex]

Step-by-step explanation:

Johny and Rahul divided the benefit of the business in the ratio 7:9. If
Rahul got 4878 rupees as benefit did Johny get?

Answers

Answer:

Step-by-step explanation:

7:9 = x:4878

4878/9 times 7

3794 would be your answer

Answer:

3,794 rupees

Step-by-step explanation:

Johny got 7 parts of the benefit while Rahul got 9. This can be represented as a fraction: 7/9

To solve this problem, we can use cross multiplication, where x represents the amount of rupees Johny got:

[tex]\frac{7}{9}[/tex] = [tex]\frac{x}{4878}[/tex]

Multiply 7 by 4,878: 34,146

Multiply 9 by x: 9x

Now the equation looks like this:

9x = 34,146

Divide both sides of the equation by 9 to isolate the x:

9x/9 = 34,146/9

x = 3,794

Johny got 3,794 rupees.

Solve for x and y-intercepts and show the work! Im on a timed test!

2x - 3y = 12

Answers

Answer:

Equation: y=2/3x-4

y intercept is (0,-4)

x intercept is (6, 0)

Step-by-step explanation:

Answer:

x=3/2y+6

y=2/3x-4

Step-by-step explanation:

To find Y

divide both sides with -3

-3y=-2x+12/:-3

y=2/3x-4

to find x

2x=3y+12

divide both sides with 2

2x=3y+12/:2

x=3/2y+6

Hope this helped :)

What system of inequalities is shown in the graph?


A. x 2x + 3


B. x 3x + 2


C. x ≤ −1 and y ≤ −0.4x + 2


D. x ≤ −1 and y ≤ −2x + 2

Answers

Answer:

Step-by-step explanation:

x ≤ −1 and y ≤ −0.4x + 2

Draw the image 1/2 turn counter clockwise. (Please Help Me at this question will give uh brainliest)!!!​

Answers

Answer:

Step-by-step explanation:

Without the picture of the arrow I can't give an accurate answer. But, I'll try.

If the arrow is pointing like this -----> half turn counter clockwise should be with it pointing up.

If the arrow is pointing up, it should look like this <-----.

Do you get the idea?

Who’s willing to help? :)

Answers

Answer:

1- 77

2- 39

3- 50

4- 46

5- 49

6- 67

7- 29

8- 9

9- 15

10- 22

Step-by-step explanation:

P) Parentheses

E) Exponents

M) Multiplication

D) Division

A) Addition

S) Subtraction

Left to right

Find the slope of the line -7,-4 and -7,-2

Answers

Answer:

slope - x=-7

Step-by-step explanation:

Slope: (y2-y1)/(x2-x1)
(-2+4)/(-7+7) = -2/0 = undefined

what is 9.8846387057 to the nearest whole number

Answers

Answer:

10

Step-by-step explanation:

The . 8 would round up making the 9 a 10

So the answer is ten

Answer:how many total ounces are in this container?

Step-by-step explanation:

Form a polynomial whose zeros and degree are given.
Zeros: 6, multiplicity 1; 3, multiplicity 2; degree 3
Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below.
f(x) = (Simplify your answer.)

Answers

Answer: (x-6)(x-3)² all multiplied by 3.

Step-by-step explanation: first you will simplify (x-3)² then multiply it by (x-6). Then lastly you will multiply tha entire answer by 3 and simplify.

Hope this helped!!! :))

Find the value of x.

Answers

Answer:

x = 5/3

Step-by-step explanation:

4x= x + 5

3x=5

x = 5/3

Seema sells two cookers for Rs.2574 each. On one she gains 10% and on the other she loses 10%.Find her gain or loss percent in the whole transaction.​

Answers

Answer:

18.18%

Step-by-step explanation:

Selling price of one coker = Rs.2574

If she loose 10% on one;

%loss = Cost price - Selliing price/cost price * 100

10 =Cp-2574/Cp * 100

10/100 = Cp-2574/Cp

0.1Cp = Cp-2574

0.1Cp - Cp = -2574

-0.9Cp =  -2574

Cp = 2574/0.9

Cp = Rs. 2860

Amount lost = 2860-2574 = Rs. 286

If she gains 10% on the second

%loss =Sp-Cp/Cp * 100

10 = 2574-Cp /Cp * 100

10/100 = 2574-Cp /Cp

0.1Cp = 2574-Cp

1.1Cp = 2574

Cp = 2574/1.1

Cp = Rs. 2340

Amount gained = 2340-2574 = Rs. 234

Total Loss = Amount lost - Amount gained

Total loss = 286 - 234

Total loss = Rs. 52

Total loss % = 52/286 * 100

Total loss % = 5200/286

Total loss % = 18.18%

I only need help with the third one​

Answers

Answer:

240

Step-by-step explanation:

12/100 X 2000

=240

the answer is 240

Answer:

$240

Step-by-step explanation:

Answer this question for me pls. :)

Answers

-8, 3 Do you need me to explain

Evaluate 15 + |-3| - 4 22 14 8

Answers

Answer:

14

Step-by-step explanation:

absolute value is the distance away from 0, so the absolute value of -3 is 3. 15 + 3 = 18. 18 - 4 = 14.

Answer:

-422130

Step-by-step explanation:

Evaluate the expression for f = 20.
122 - 2f

A. 82
B. 100
C. 140
D. 2400

SHOW YOUR WORK PLZSSSSS

Answers

Hey there!

IF F EQUALS 20 THEN SUBSTITUTE IT INTO THE EQUATION

[tex]\textsf{122 - 2(20)} \\ \mathsf{2(20) = 40} \\ \mathsf{122 - 40 = answer} \\ \uparrow \mathsf{solve \: above \: and \: you \: have \: your \: answer} \\ \mathsf{122 - 40 = \bf82} \\ \\ \boxed{ \mathsf{your \: answer: \boxed{ \bf 82}}} \checkmark[/tex]

Good luck on your assignment and enjoy your day!

~

[tex] \dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]

A circle has radius 25cm long. A chord of length 14cm is drawn from the center of the circle of the circle. Calculate distance between the chord and the center of the circle

Answers

Answer:

Step-by-step explanation:

r=25 cm

chord=14 cm

1/2 chord=1/2×14=7 cm

using Pythagoras theorem

d=√(25²-7²)=√(625-49)=√(576)=24 cm

Task 2
If two figures are similar, then they are congruent.
Check all that apply
true in all cases
true in some cases
true in no cases

Answers

Answer:

pqoejbbbsvbhxncbqbqheeirowoqpnabzvxjsmqkw

Can you put a better picture ?

1.
Without finding the squares of the numbers,
find the ones place digit for the squares of
the following numbers.
(a) 38
(b) 65
(c) 490
(d) 34​

Answers

490 is the answer I looked it up :) hope it helps

The teacher has 20 Thanksgiving stickers and 5 of them are scarecrows. What percentage of the stickers are scarecrows?(PLEASE HELP!)

:C

Answers

Answer:

25%

Step-by-step explanation:

20 / 5 = 4

100 ÷ 4 = 25

= 25%

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

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