One math student, John, can solve 6 math problems in 20 minutes while another student, Juaquine, can solve the same 6 math problems at a rate of 1 problem per 4 minutes. Who works faster?
1.John
2.Juaquine

Answers

Answer 1

Answer:

John

Step-by-step explanation:

6/20=0.3

1/4=0.25

Answer 2

Juaquine is solving problems at a faster rate as compared to John.

What is the rate?

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

As per the question, we can compare their rates of problem-solving by calculating the number of problems they can solve per minute.

For John, this is 6 problems / 20 minutes = 0.3 problems per minute.

For Juaquine, this is 6 problems / (4 minutes/problem) = 1.5 problems per minute.

Since Juaquine can solve 1.5 problems per minute compared to John's 0.3 problems per minute, Juaquine is solving problems at a faster rate.

Hence, Juaquine works faster as compared to John.

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Related Questions

Find the value of each power

Answers

Answer:

(20). 256^0 = 1

(21).  10^2 = 100

(22). 4^4 = 256

(23).  3^5 = 243

Step-by-step explanation:

(20). 256^0 = 1

(21).  10^2 = 10*10 = 100

(22). 4^4 = 4*4*4*4 = 256

(23).  3^5 = 3*3*3*3*3 = 243


Suppose you have $75 in your savings account and you save an additional $5 each week. Your friend has $30 in his savings account and saves an additional $10
per week. In how many weeks will you have the same amount of money?

Answers

Answer:

9 weeks

Step-by-step explanation:

5x+75=10x+30

-5x        -5x

75=5x+30

-30      -30

45=5x

÷5    ÷5

9=x

x=9

it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.

To determine the number of weeks it takes for both you and your friend to have the same amount of money in your savings accounts, we need to set up an equation.

Let's denote the number of weeks as 'x'. For you, the amount of money in your savings account after 'x' weeks can be calculated as follows:

Amount of money in your account = $75 + $5x

For your friend, the amount of money in his savings account after 'x' weeks can be calculated as:

Amount of money in your friend's account = $30 + $10x

To find the number of weeks where you both have the same amount of money, we set up the equation:

$75 + $5x = $30 + $10x

Simplifying the equation:

$5x - $10x = $30 - $75

-$5x = -$45

Dividing both sides of the equation by -5 gives us:

x = 9

Therefore, it will take 9 weeks for you and your friend to have the same amount of money in your savings accounts.

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Will give brainliest, like, comment and 5 points for the best answer
Could you please help me with this question:

Answers

Answer:

$1.80, $2.90, $4.00, $10.90

Step-by-step explanation:

For 9/10 mile, the price will be $1.80. For 2 miles, the price will be $2.90. For 3 1/10 miles, the price will be $4.00, and for 10 miles, the price will be $10.90. The relationship between distance travelled and the price is not proportional because it costs $1.00 for the first 1/10 mile and then for every additional 1/10 mile, it only costs $0.10. Hope it helps!

Evaluate the function, f(x) = 3x + 1, for f -2/3

3
7
-1
-5/9

Answers

Answer:

To find the inverse, interchange the variables and solve for

Find the inverse and subtract

Candace is visiting a local water park. The table shows information about the number of hours ( input values) and the total cost (output values)

Can anyone help??
(it’s a timed quiz)

Answers

Answer:

B. Domain: {1, 3.5, 5, 7.5, 9}

F. Range: {2, 6.50, 7.00, 9.00, 12.50}

Step-by-step explanation:

The set of input values make up the domain of the function, while the corresponding set of output values is the range of the function.

That is, the domain is the number of hours, while total cost is the total cost.

Domain would be: {1, 3.5, 5, 7.5, 9}

Range would be: {2, 6.50, 7.00, 9.00, 12.50}

What is the value of the expression below?

(9 divided by 3) + 4 (6 minus 7)
–7
–1
7
20

Answers

Answer:

-1

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

9/3= 3, and 4(6-7)=-4. 3+-4 (or 3-4) is -1.

Convert 35 kilometers to miles

Answers

Answer:

The answer would be 21.248 miles

Answer:

35 kilometers = 21.748 miles

Help I do not know this question.

Answers

Answer:

A

Step-by-step explanation:

The team goes from 0 --> +25 and then goes from +25 --> 0 because they lost 25 from their new position.

The awnser is A
I took the test

Solve for q.
HEELLPP

Answers

The answer is 9 I have also included the rough work I hope it helps
the answer is 9

3q+15q+18=180
18q+18=180
18q=162
q=9
hope this helped

The packages of wrapping paper cost $2.75 per package. At the last moment, Sally notices gift bags that cost $4. 99. Is it cheaper to wrap the CD or put it in a gift bag? Explain your answer.

Answers

Answer:

It would be cheaper to wrap the CD in wrapping paper

Step-by-step explanation:

$2.75 is cheaper than $4.99

So  $2.75 is cheaper than $4.99 by $2.44

Explain why the equation 6x+3=6x−5 has no solutions.

Answers

Answer:

Because 6X will cancel out, leaving you with no x. And 3 does not equal -5.

Step-by-step explanation:

6X + 3 = 6X -5

-6X         -6X

   3= -5 (not true)

PLEASE HELP ON THIS ONE
On average, Ethan drinks 3/4 of an 10 ounce glass of water in 2 minutes how many glasses of water does he drink in one hour

Answers

Answer:

22.5 glasses of water

Step-by-step explanation:

Because 3/4 of 10 is 7.5 and if he drinks that every 2 min you have to multiple 7.5 by 30 because 60/2 is 30 which is the amount of min in an hour. when you multiple, you get 225. you have to divide that many oz by 10 because that is how many oz are in a glass and you get 22.5 glasses.

1. What is the solution to(3x - 10x + 5 = 5x + 172
Record your answer and fill in the bubbles on the grid below. Be sure to use the correct
place value
OOOOOOOOOO
OOOOOO
OOOOO
2. Rectangle ABCD has a length represented by the expression 2x = 3 and a width
represented by the expression 4x + 5 Rectangle PORS has a length represented by
the expression - 1 and a width represented by the expression 3X Which of the
following expressions can be used to represent the difference in the perimeters of
Rectangle ABCD and Rectangle PORS?
A.
2x + 1
B. 4x + 2
C. 20x + 6
D. 4x + 6

helpppppppp!!!

Answers

Answer:

16 its not true trust

Step-by-step explanation:

Answer:

bhhk

Step-by-step explanation:

drdytkbk

Which line is perpendicular to 3y+2x=12?
y=-2x+6
2x+3y=6
y+3x=-2
6x-4y=24

Answers

Step-by-step explanation:

Given line equation : 3y+2x=12

3y=−2x+12

y=(−2x+12)/3

y=-2x/3+4

m=-2/3

perpendicular -1/m=3/2

y=mx+c

y=3/2x+12

2y=3x+12

liniar systems
3x-2y=-7
2x+5y+=8

Answers

Answer: 3x-2y=-7=  Slope = 3.000/2.000 = 1.500

 x-intercept = -7/3 = -2.33333

 y-intercept = 7/2 = 3.50000

2x+5y+=8

 Slope = -0.800/2.000 = -0.400

 x-intercept = 8/2 = 4

 y-intercept = 8/5 = 1.60000

Step-by-step explanation:

I need help ASAP please

Answers

so the answer is....I think by putting the value 4 for X we get 5/11

1+1
try to guess :) you will get 33 points

Answers

Answer:

69?

Step-by-step explanation:

Graph the line with the slope of 3/5 and goes through the point (1,2)

Answers

Answer:

Here's a screenshot of the correct line:

The line with the slope of 3/5 and goes through the point (1,2) is y = 3/5x + 7/5

The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Given the line has a slope of 3/5 and goes through the point (1,2). The equation of the line is given by:

[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{3}{5}(x-1)\\\\y-2=\frac{3}{5}x-\frac{3}{5} \\\\y=\frac{3}{5}x+\frac{7}{5}[/tex]

The given table of values represents a linear equation. What is the slope?

A. 4

B. 5

C. 3

D. 6​

Answers

Answer:

C. 3

Step-by-step explanation:

Formula for slope is given as [tex] m = {y_2 - y_1}{x_2 - x_1} [/tex]

The coordinates of any two points can be used in this formula. Let's use, (1, 5) and (2, 8).

Let,

[tex] (1, 5) = (x_1, y_1) [/tex]

[tex] (2, 8) = (x_2, y_2) [/tex]

Plug the values into the formula:

[tex] m = {8 - 5}{2 - 1} [/tex]

[tex] m = {3}{1} [/tex]

[tex] m = 3 [/tex]

Find the slope of the line through each pair of points.

(1,19) , (1,-7)

Answers

Answer:

undefined (that's the actual answer)

Step-by-step explanation:

Translate this sentence into an equation.
Goran's height increased by 13 is 48.
Use the variable g to represent Goran's height.

Answers

Answer:

g+13=48

Step-by-step explanation:

Mitchell needs to buy some wood to build a rectangular box that is 12 inches long, 8 inches wide, and 10 inches high.

How many square inches of wood would Mitchell need to build the box?

Answers

Answer:

Im not for sure but wouldnt it be 30 sqaure inches

Step-by-step explanation:

-8 + k = -17
What is k to make this equation true

Answers

k would need to equal -9 to make the equation true!

Answer: The answer is k= -9

Step-by-step explanation:

this is how you solve it :

-8+k=-17

so then you add 8 to both sides so it would look like

-8+k+8=-17+8

then you simplify

after you simplify it would equal k=-9

THATS ALL :) have a good day

also could you please make me brainleast ???

What is the slope of the line shown

Answers

ANSWER

1/2

You can do rise over run and it is 1/2
It’s 1/2 let me know if you need help with anything else

2.(03.01)
The range of the following relation R {(3,-2), (1, 2), (-1,-4), (-1, 2)} is (1 point)
O {-1, 1, 3}
O {-1,-1, 1, 3}
O {-4, -2, 2, 2)
O {-4, -2, 2}
I will mark as brainliest

Answers

I think the answer is the last one
(-4,-2,2)

Answer:

{-4,-2,2}

Step-by-step explanation:

Are the given
equations parallel,
perpendicular, or
neither?
y = 3x + 5
y = 3x - 7

Answers

Answer:

parallel

Step-by-step explanation:

They have the same slope, just different y-intercepts. The two lines never cross, making them parallel.

Is x=-3 a solution of the equation 2x+4=8+x? Show work
For pre algebra

Answers

Answer:

x= 4 is a solution

Step-by-step explanation:

Answer:

When x = -3 is given, all you need to do is substitute and check if the answers in LHS and RHS are equal.

2x+4=8+x

2(-3)+4=8+(-3)

-6+4=8-3

-2 [tex]\neq[/tex] 5

NO SOLUTION

Use the figure to find the measure of angle 2

Answers

The measure of angle 2 is 82 degrees cuz those two angles are alternate exterior angles, so they are the same measure
82!! Because 82 and angle 6 are vertical angles which means angle 6 is 82 degrees. Furthermore, angle 6 is corresponding angles with angle 2 so that means they are congruent! And that is how you get 82.

Which number is NOT a solution for 4x - 2] < 8?
A-1
B 5
C 2.
DO

Answers

The answer is five or B

Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = -8f(x)?
A.
It is the graph of f(x) reflected about the x-axis and shrunk vertically by a factor of 8.
B.
It is the graph of f(x) reflected about the x-axis and stretched vertically by a factor of 8.
C.
It is the graph of f(x) reflected about the y-axis and shrunk vertically by a factor of 8.
D.
It is the graph of f(x) reflected about the y-axis and stretched horizontally by a factor of 8.

Answers

Answer:

OTHER GUY IS WRONG!!!

Given that,

Each statement describes a transformation of the graph of f(x) = x.

We have to determine,

Which statement correctly describes the graph of g(x) if g(x) = -8f(x)?

According to the question,

Let, The graph f(x) = x,

Where r is the real number which is r >0.

And The graph of g(x) if g(x) = -8f(x),

The value of the r is -8.

The graph which describes the transformation of the given graph in the steps follows all the steps given below.

The function g(x) = 8f(x) reflects stretched the graph of f(x) vertically by a factor of r.

The function g(x) = -8f(x) reflects the graph of f(x) about the x-axis and stretched the graph of f(x) vertically by a factor of r.

The graph of g(x) = f(8x) shrink the graph of f(x) horizontally by a factor of r.

The function g(x) = f(-8x) shrink the graph of f(x) about the y-axis and shrink the graph of f(x) horizontally by a factor of r.

Hence, The graph of f(x) reflected about the x-axis and stretched vertically by a factor of 8.

For more details refer to the link given below.

https://brainly.com/question/21981889

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