Daniela has the same amount of money automatically deposited into a new savings account each week. After 3 weeks, she has $18. After 5 weeks, she has $30. The unit rate is measured in dollars per week. What is the constant of proportionality?

Answers

Answer 1

Answer:

$6 per week  (ratio 6/1)

Step-by-step explanation:

18/3=6

30/5=6


Related Questions

Last month Maria hiked a total of 90 miles on two trails: a 5-mile mountain trail and a 10-mile canal trail. Let x represent the number of times Maria hiked the mountain trail, and let y represent the number of times Maria hiked the canal trail.

Which equation can be used to find the number of times Maria hiked each trail?

x + y = 90
5x – 10y = 90
90 – 10y = 5x
90 + 10y = 5x

Answers

The equation can be used to find the number of times Maria hiked each trail is 5x + 10y = 90

Equation

let

number of times Maria hiked the mountain trail = xnumber of times Maria hiked the canal trail = y

5x + 10y = 90

Therefore, the equation to represent the number of times Maria hiked each trail is 5x + 10y = 90

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Answer:

5x + 10y = 90

Step-by-step explanation:

40 is what percent of 32?

Answers

Answer:

125%

Step-by-step explanation:

Is means equals and of means multiply

40 = P * 32  where P is in decimal form

Divide each side by 32

40/32 = P

1.25 = P

Now change to percent form ( multiply by 100)

125%

The answer to your question is 125%

URGENT a right triangle is shown enter the value of x

Answers

Answer:

Hello! answer: 10

Step-by-step explanation:

8 × 8 = 64

6 × 6 = 36

64 + 36 = 100

√100 = 10

10 × 10 = 100 therefore x = 10 hope that helps!

In 2017, Sage went to dance class four hours a week. In 2018, the amount of time she goes to dance class has increased by 40%. How many hours does Sage go to dance class now? Your answer will be a decimal.

Answers

Answer:

1.6 hours

Step-by-step explanation:

40% of 4

turn 40% to a decimal by moving the percent to the left twice (0.40)

multiply 0.40 by 4

you get 1.6

1.6 is your answer

hope i helped, tell me if you get it right! :)

5.(x-3)= please help

Answers

Step-by-step explanation:

5(x-3) = 0

5x-15=0

5x=15

x=15/5

x=3

i think you added the dot after 5 by mistake so yes this is how i could solve

Drag each number to show whether it is equal to 2/10, 2/100, or neither.

Answers

Answer:

20/10 goes to neither since it equals 2

0.02 goes to 2/100 since it is the same as 0.02

200 goes to neither because it is over 2/10 and 2/100

0.20 goes to 2/10 since 2/10 is equal to 0.20

2.0 goes to neither because it equals 2

Hope this helped

Step-by-step explanation:

Exit
A park ranger wants to estimate the number of fish in a lake.
She catches 400 fish.
She marks them with ink and puts them back in the lake.
The next day she catches 60 fish.
There are 3 marked with ink.
Work out how many fish the ranger would expect to have in the whole lake.
(3 marks)

Answers

458 fishes

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The answer is in the picture. Click on it.

Point k is on line segment JL. Given JL = 4x+2, KL = 5x-6, and JK = 3x, determine the numerical length of JK.

Answers

Answer:

6 units

Step-by-step explanation:

JK + KL = JL

3x + 5x-6 = 4x+2

8x-6 = 4x+2

subtract 4x from each side to get:

4x - 6 = 2

add 6 to each side to get:

4x = 8

x = 2

JK = 3x and x=2 so JK = (3)(2) or 6

The numerical length of JK = 6

What is Line Segment?

" A line segment is a line section that can link two points. "

We know that point K is divide line JL

Given that JL = 4x+2

                 KL = 5x-6

                JK = 3x

So,  Equation is JK+KL = JL

                           3x+5x-6 = 4x+2

                           8x-6 = 4x+2

                            8x-4x = 2+6

                            4x = 8

                              x = 8/4

                             x = 2

So , numerical length of JK = 3x

                                        JK = 3×2

                                       

                                         JK = 6

Hence , length of JK is 6

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Need help ASAP please

Answers

Answer:

x=5.75 ; price of a single popcorn

y=2.25 ; price of a drink

system of equations

2*x+3*y= 18.25

4*x+2*y=27.50

Step-by-step explanation:

x= price of popcorn

y= price of drink

2*x+3*y= 18.25 ; this is information for Mohamed

4*x+2*y=27.50 ; this is informtion for miguel

solve an equation for y

2y=27.50-4x

y=13.75-2x

substitue into other equation

2*x+3(13.75-2x)=18.25

2*x+41.25-6x=18.25

-4x+41.25=18.25

-4x=-23

x=5.75 ; price of a single popcorn

swap x=5.75 into the other equation

4*5.75+2*y=27.50

2y=4.5

y=2.25 ; price of a drink

put back in to check work

2*5.75+3*2.25

11.5+6.75=18.25

Plz help, and show details, will give brainliest to best answer

Answers

If evaluating the answer would be 3+2i
The answer would also be the same with simplifying.

100% Verified

Hope this helps! :)

Someone please help :')

Answers

Answer:

C. [tex]y+4=-3(x-3)[/tex]

Step-by-step explanation:

The point-slope format is a way to represent the equation of a line. It involves using a point on the line and relating it to the slope in such a way that one can find any point on the line using the equation. One is asked to find the equation of a line in point-slope form. The general format for the point-slope form of a line is the following;

[tex]y-h=m(x-k)[/tex]

Where the point on the line that is being used is ([tex]h,k[/tex]). The parameter ([tex]m[/tex]) represents the slope or rate of change in the line. The slope is often referred to as the ([tex]\frac{rise}{run}[/tex]) and can be found using the following formula.

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Where ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line. As one can see the following points can be found on the line:

[tex](3,-4), (0, 5)[/tex]

Substitute these points into the slope formula and solve for the slope;

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

= [tex]\frac{(5)-(-4)}{(0)-(3)}[/tex]

= [tex]\frac{5+4}{0-3}\\[/tex]

= [tex]\frac{9}{-3}[/tex]

= [tex]-3[/tex]

Now substitute the slope into the given formula. As per the problem, one is supposed to use the point ([tex]3, -4[/tex]) in the formula.

[tex]y-h=m(x-k)[/tex]

Substitute the slope;

[tex]y-h=-3(x-k)[/tex]

Substitute the point;

[tex]y+4=-3(x-3)[/tex]

If the sale price is is $75 and the discount is 20% off, what is the original price?

Answers

let the original price be x.

x-20% of x= 75

= x- 0.20x= 75

= 0.8x= 75

= x= 75/0.8

=x= 93.75

Answer: the original price is $93.75

pls mark me brainliesttt :))

88 Square centimeter in Square millimetres?

Answers

Answer:

8800 (Square Millimeters)

Find AB
I need help !

Answers

9514 1404 393

Answer:

  d.  AB = 54

Step-by-step explanation:

The triangle is isosceles, so AB = AC.

  (4x +6) = (5x -6)

  12 = x . . . . . . . . . . . . add 6-4x to both sides

Then the length of AB is ...

  AB = 4x +6 = 4(12) +6 = 48 +6

  AB = 54

A painting without its frame has a width 2.5 times its height, h, in inches. Its frame is 3 in. wide all along its perimeter. What is an expression for the area of the framed painting in terms of h? A. 2.5h2 B. 2.5h2 + 6 C. 2.5h2 + 36 D. 2.5h2 + 21h + 36​

Answers

Answer:

2.5h^2 + 21h + 36

Step-by-step explanation:

Height = h

width = 2.5h

border = 3 in.

Overall height = h+6

Overall width = 2.5h+6

Overall area

= (h+6)(2.5h+6)

= 2.5h^2 + 15h + 6h +36

= 2.5h^2 + 21h + 36

Math help please due soon thanks

Answers

Answer with step-by-step explanation:

I'll use the list of referents you had on your other question and I believe this is a reference to that list.

Part A:

Use the reference of an adult stride (about 1 yard) to estimate the dimensions and length of the lawn edging. The dimensions can be used to find the area, in square yards, that is required to fill both sides of the flower beds.

Part B:

Similarly, you can use an adult stride of about 1 yard as a reference to measure to dimensions of the paved area and the dimensions of the brick. Using these dimensions, you can find area of the paved walkway and the area (surface area of top only) in square yards. Use these areas to find the approximate number of bricks needed to fill the walkway.

pls help me asap :(

Which of the following values "completes the square," or creates a perfect square trinomial, for x2 − 12x + ___?

Answers

x^2-12x+(6)^2 is correct answer

The following are all 6 quiz scores of a student in a statistics course. Each quiz was graded on a 10-point scale. 8,6,9,9, 8, 8 Assuming that these scores constitute an entire population, find the standard deviation of the population. Round your answer to two decimal places.

Answers

Answer:

mean=6+8+8+9+9+10divided 6 =

Answer:

1.

Step-by-step explanation:

The mean score is (8+6+9+9+8+8)/ 6

= 48/8

= 8.

Deviations from the mean are 0 , -2, 1, 1, 0, 0

Squares of these deviations  are 0, 4, 1, 1, 0, 0

So the variance =  (0 + 4 + 1 + 1 + 0 + 0)/ 6 =  1

Standard deviation = √1 = 1.

what is the value of 1 in 915,342,760​

Answers

the 1 is in the 10 million place

Can yall help me, its really important

Answers

Answer:

It's B

Step-by-step explanation:

Answer:

send wellthat questions again

How many solutions does this equation have one, none, or infinite 12+2i-i=9i+6

Answers

Answer:

i=3/4

Step-by-step explanation:

Assuming that we are treating "i" as a variable and not the constant "i":

12+2i-i=9i+6

12+i=9i+6

12=8i+6

6=8i

8i=6

i=6/8

i=3/4

Therefore, the equation has only one real solution which is i=3/4

In parallelogram ROCK shown below, m angle ROS=65^ and m angle OCK=70^ . What is the measure of angle R ? Explain why

Answers

Answer:

angke R is 70

Step-by-step explanation:

opposite angle of a parallelogram are equal.

I.e. angle C = angle R = 70

Answer:

70

Step-by-step explanation:

In a parallelogram, (I) opposite angles are congruent.

(II) Adjacent angles are supplementary.

(III) Opposite sides are equal and parallel.

(Iv)  Diagonals bisect each other

Angle R and angle C are opposite angles as they don't share any  arm's(sides).

∠R = ∠C = 70

-) Solve
2x - 1>9
Answer:

Answers

Answer:
x > 5
Hope this is the correct answer :)

Answer:

Step-by-step explanation:

2x-1>9

2x-1>9=0

2x-1=0-9

2x-1=-9

2x=-9+1

x=-8/2

x=-4

Suppose you are making a deposit into your checking account. You have a check for $350, cash and coins totaling $225 and you want to receive a $100 bill. What is the total deposit amount? (Show your work)

Answers

Answer:

The total deposit amount is 225.

Step-by-step explanation:

-350 + 225 + x = 100

-125 + x = 100

x = 225

Hope this helps. :)

Stay safe, happy, and healthy. Have a great day!

What is the image of (4, -12) after a dilation by a scale factor of 1/4 centered at the origin?​

Answers

The answer is (-1,-3)

All you have to do is divide your point by 4, since it is a fraction. if its not then multiply.

Suppose that many large samples were taken from a population and the sample proportion centered around 0.25 which of the following is most likely the population parameter
0.25
0.45
0.35
0.15

Answers

Answer:

0.25

Step-by-step explanation:

Hope it helps, sense it’s centered around 0.25 then the parameter would be 0.25

To It’s centered around 0.25 then the parameter would be 0.25.

We have given,

Suppose that many large samples were taken from a population and the sample proportion centered around 0.25

We have to determine which of the given is most likely the population parameter.

What is the center parameter in the large sample?

A sample means from any distribution. We could have a left-skewed or a right-skewed distribution.

To It’s centered around 0.25 then the parameter would be 0.25

Therefore option A(0.25) is correct

To It’s centered around 0.25 then the parameter would be 0.25.

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f is inversely proportional to √g
.When f=12, g=64
Work out g when f=16

Answers

Answer:

36

Step-by-step explanation:

f * √g = k

12 * √64 = k

k = ± 96

g = k² / f² = (± 96)² / 16² = 36

Answer:

g = 36

Step-by-step explanation:

Given f is inversely proportional to [tex]\sqrt{g}[/tex] then the equation relating them is

f = [tex]\frac{k}{\sqrt{g} }[/tex] ← k is the constant of proportion

To find k use the condition when f = 12 , g = 64 , then

12 = [tex]\frac{k}{\sqrt{64} }[/tex] = [tex]\frac{k}{8}[/tex] ( multiply both sides by 8 )

96 = k

f = [tex]\frac{96}{\sqrt{g} }[/tex] ← equation of proportion

When f = 16 , then

16 = [tex]\frac{96}{\sqrt{g} }[/tex] ( multiply both sides by [tex]\sqrt{g}[/tex]

16 × [tex]\sqrt{g}[/tex] = 96 ( divide both sides by 16 )

[tex]\sqrt{g}[/tex] = 6 ( square both sides )

g = 6² = 36

3. What is the value of x?
A.36
B.32
C.12
D.28

Answers

Oooooooioooooooooooo

Answer:

b

Step-by-step explanation:

2⁄5 of 3⁄4= ..... what this equal

Answers

Answer:

3/10

Step-by-step explanation:

Of means multiply

2/5 * 3/4

Rewriting

2/4 * 3/5

1/2*3/5

3/10

Two numbers multiply to be 4 and add to be -5

Answers

Answer:

-1, -4

Step-by-step explanation:

x + y = -5

x×y = 4

=>

x = -5 - y

=> (-5 - y) × y = 4

-5y - y² = 4

y² + 5y + 4 = 0

the solution for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a = 1

b = 5

c = 4

x = (-5 ± sqrt(25 - 16))/2 = (-5 ± 3)/2

=> x = -2/2 = -1 or x = -8/2 = -4

=> y = 4/-1 = -4 or y = 4/-4 = -1

since the sequence in an addition and multiplication does not make any difference, the two numbers are simply -1 and -4

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