Judy and Cassie each opened a savings account on the same day. Judy started by putting $300 in her account, and she will deposit an additional $12 each week. Cassie made an initial deposit of $100, and she will add $20 more each week. Eventually, Judy and Cassie will each have the same amount saved. How many weeks will that take?
Write a system of equations, graph them, and type the solution.

Answers

Answer 1

Answer: 25 weeks

Step-by-step explanation:

Let W represent the number of weeks

Judy equation is

12W + 300

Cassie equation is

20W + 100

Now let's solve it! Our system of equation is

12W + 300 = 20W + 100

Subtract 300 from both sides

12W = 20W -200

Subtract 20W from both sides

-8W = -200

W = 25 weeks

So, it takes 25 weeks for Judy and Cassie to have the same amount saved.

Answer 2

Answer:

let judy = 300 + 12W

cassie = 100 + 20W

300 + 12W =  100 + 20W

300 - 100 = 20W - 12W

200 = 8W

W = 25

CHECKING:

300 +  12(25) = 100 + 20(25)

300 + 300 = 100 + 500

600 = 600

Therefore, it will take 25 days for Judy and Cassie so that they have the same amount saved.

THE GRAPH IS IN THE PICTURE,line graph

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-
Judy And Cassie Each Opened A Savings Account On The Same Day. Judy Started By Putting $300 In Her Account,

Related Questions

solving by elimination
2x+8y=6
5x+20y=15

Answers

Answer:

Solve for  x  in the first equation.

Subtract  8 y  from both sides of the equation.

2 x = 6 − 8 y

5 x + 20 y = 15

Divide each term by  2  and simplify.

Divide each term in  

2 x /2 =  6/2  − 8 y/2  

5 x + 20 y = 15

Cancel the common factor of  2 .

Cancel the common factor.

2 x /2  =  6 /2  + (− 8 y)/ 2

Step-by-step explanation:

I don't have room to put the rest. So go to math-way

What does x equal to?

Answers

Answer:

x = 25°

Step-by-step explanation:

the angle adjacent to the 130 angle is 50 degrees

x = 180-(105+50)

x = 180-155

x = 25

Two bikers are riding a circular path.
The first rider completes a round in 12
minutes. The second rider completes
a round in 18 minutes. If they both
started at the same place and time
and go in the same direction, after
how many minutes will they meet
again at the starting point?

Please show working

Answers

[tex] \huge \mathfrak \orange{Question}[/tex]

Two bikers are riding a circular path.

The first rider completes a round in 12

minutes. The second rider completes

a round in 18 minutes. If they both

started at the same place and time

and go in the same direction, after

how many minutes will they meet

again at the starting point?

[tex] \huge \mathfrak \orange{Solution}[/tex]

[tex] \huge \mathsf \blue{Given}[/tex]

First rider takes 12 minutes to complete a round.Second rider takes 18 minutes to complete a round.

[tex] \huge \mathsf \blue{To\: Find}[/tex]

After how many minutes will they meet

again at the starting point?

Take the LCM of 12 and 18

12 = 2 × 2 × 3

18 = 2 × 3 × 3

Thus, the LCM of 12 and 18 is 36.

So they will meet after 36 minutes again at the starting point.

Answer:

Find the LCM of 12 & 18 .

12 = 2×2×3

18 = 3×3 ×2

So , LCM of ( 12 , 18 ) = 2×3×2 = 36

Your Ans is 36

Therefore he meet after 36 minutes at starting point..!!

Hopefully u will satisfy with my answer of ur question..!!

Have a nice day ahead dear..!!

use the given scale factor and the side lengths of the scale drawing to determine the side lengths of the real object 6:1

Answers

Answers is c because the sides

Answer: Its B. Side a is 2 inches long and side b is 1.5 inches long.

Step-by-step explanation:

If you spun the spinner 100 times, how many times do you predict that you would spin a number less than 5 on a spinner of 1-6

Answers

Answer:

67 times

Step-by-step explanation:

Spinner's sample space = (1, 2, 3, 4, 5, 6)

Number less than 5 = (1, 2, 3, 4)

Total possible outcomes = 6

Required outcome = 4

P(number less than 5) = required outcome / Total possible outcomes

P(number less than 5) = 4 /6 = 2/3

Number of spins = 100

Predicted Number of times a number less than less than 5 is spurn in 100 spins :

100 * 2/3

= 66.666

= 67 times

UNIT TEST:
TVAH: GeometryB Unit 4 Test
The perimeter of the base of a right square pyramid is 32 cm. The height of the
pyramid is 8 cm.
What is the volume of the pyramid?
O 256 cm
O 170.67 cm
o 85.33 cm
O 512 cm
2 3
4
5
6
7
Next
8 9 10 11
o
9

Answers

Answer:

170.67 cm^3

Step-by-step explanation:

The volume is given by ...

 V = 1/3s²h

We are given that 4s=32, so s=8. We are also given that h=8. (All linear dimensions are in centimeters.) Then the volume is ...

 V = (1/3)(8²)(8) = 512/3 = 170.67 . . . . cm³

Answer:

170.67 cm^3

Step-by-step explanation:

took the test

4. Maggie carried 3 bags of groceries in from the grocery store. • The first bag weighed 4 5/12pounds. • The second bag weighed 2 1/6 pounds • The third bag weighed 1 2/3 pounds. She carried the first bag in her left hand. She carried the second and third bag in her right hand. How much more weight did she carry with her left hand than her right hand?​

Answers

Using improper fractions, it is found that she carried 0.583 pounds more with her left hand than with her right hand.

How to convert improper fractions to standard fractions?

The conversion is made according to the following formula:

[tex]a\frac{b}{c} = a + \frac{b}{c} = \frac{ac + b}{c}[/tex]

In her right-hand, the amount she carried is given by:

[tex]2\frac{1}{6} + 1\frac{2}{3} = \frac{13}{6} + \frac{5}{3} = \frac{13}{6} + \frac{10}{6} = \frac{23}{6}[/tex]

In her left-hand, the amount was of:

[tex]4\frac{5}[12} = \frac{53}{12}[/tex]

The difference is of:

[tex]\frac{53}{12} - \frac{23}{6} = \frac{53}{12} - \frac{46}{12} = \frac{7}{12} = 0.583[/tex]

She carried 0.583 pounds more with her left hand than with her right hand.

More can be learned about improper fractions at https://brainly.com/question/26455668

I GOT A FAKE ANSWER ON THE LAST ONE SO PLEASE HELP FOR REAL NOT FOR THE POINTS
This is your chance to demonstrate your basketball skills! You have been chosen to participate in a paper-ball throwing contest.
Directions:
1. Use the scrap paper to make 10 paper balls per group. (Wad the paper balls up tightly so they are easier to aim.)
2. Place a trash can (or other large container) 5 feet away.
3. Predict how many paper balls you will be able to get into the basket. Type your prediction.
4. Type your results as a fraction.
5. Type your results as a decimal.

Answers

Answer: 3/5 or 0.6

Step-by-step explanation: It would take 2 shots for me to fine tune the force I need to get a perfect shot.  If you divide 3 by 5 you get 0.6.

Help ASAP, ACD and DCB form a linear pair

Answers

Answer:

40

Step-by-step explanation:

because 180- 140 = 40

a linear pair means they equal 180

The measure of angle ACD (∠ACD) is 40 degrees.

Given that angles ACD and DCB forms a linear pair, also m ∠DCB = 140°,

We are asked to find the measure of ∠ACD,

So,

If angles ACD and DCB form a linear pair, it means that their sum is equal to 180 degrees.

Let's denote the measure of angle ACD as x.

So, we have the equation:

m∠ACD + m∠DCB = 180°

Substituting the given value for m∠DCB:

x + 140° = 180°

To solve for x, we can subtract 140° from both sides of the equation:

x = 180° - 140°

x = 40°

Therefore, the measure of angle ACD (∠ACD) is 40 degrees.

Learn more about linear pair click;

https://brainly.com/question/1757859

#SPJ2

The perimeter is

25cm
32cm
29cm

Answers

The answer should be 32cm! You just have to add all of the lengths.

ANSWER ASAP!!!!!!!!!!!!!!!!!!!!! Reflect (4, -4) over the x-axis. Then translate the result to the right 3 units. What are the coordinates of the final point? NO FILES PLEASE

Answers

Answer:

(7,4)

Step-by-step explanation:

The rule for reflecting over the x-axis is (x,y) -> (x,-y)

If you apply that to your point, you get (4,4)

When doing this translation, you add the 3 to the number you have in the x. This will give you (7,4).

Hope I helped.

I don’t understand algebra. Help me

Answers

No solution there are no values of x

What are the first two steps in solving the radical equation below?
X+3 - 7 - 15
A. Square both sides and then subtract 3 from both sides.
B. Add 7 to both sides and then square both sides.
C. Add 7 to both sides and then subtract 3 from both sides.
D. Square both sides and then add 7 to both sides.

Answers

Answer:

B

Step-by-step explanation:

add 7 to get away the 7 on the left hand side

square both side to eliminate square root

The first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.

What are radical?

A radical is the opposite of the power, therefore, the roots are known as the radical. It is denoted as √, ∛, etc.

In order to solve the given radical, we will go through the following steps,

[tex]\sqrt{x+3}-7=15[/tex]

1.  Add 7 both the sides to eliminate -7 from both the sides,

   [tex]\sqrt{x+3}-7+7=15+7\\\\\sqrt{x+3}=22[/tex]

2. Square both the sides to remove the square root,

   [tex]\sqrt{x+3}=22\\\\(\sqrt{x+3})^2=22^2\\\\x+3 = 484[/tex]

Hence, the first two steps in solving the radical equation are to Add 7 to both sides and then square both sides.

Learn more about Radical:

https://brainly.com/question/1369233

HELP PLEASE: without doing the math, determine which is greater, 50 times 1/5 or 50 divided by 1/5. explain your reasoning.

Answers

Answer:

The first option

Step-by-step explanation:

Have a nice day :)

WILL MARK BRAINLIEST! NO JOKE-Y ANSWERS! THIS IS WORTH 100 POINTS!

A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that represents the hours volunteers work at the shelter each week. Describe the key features of the functions that are needed to determine if these lines intersect.

Answers

Answer:

if these lines intersect the slopes must be different

Step-by-step explanation:

A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y. a is the constant term or the y intercept.

Answer:

Linear functions (or lines) have really only 2 attributes : The slope (indicating the inclination of the line), and the y-intercept (the intersection with the y-axis) or the x-intercept. Either way, they show the actual position of the line. The lines intersect at one point if they have different slopes. They intersect at infinitely many points, if the slope and the y or x-intercepts are equal (ultimately that means the lines are identical, so every point is an intersection point). If they have the same slope but different y or x-intercepts, it means they are parallel and will never intersect.

Find the value of x, y, and z.
Round to the nearest tenth if needed.
Please help me

Answers

Answer:

x = 26.5

y = 12.0

z = 13.4

Step-by-step explanation:

✔️To find x, apply the leg rule, which is:

Hypotenuse/leg = leg/part

Hypotenuse = 30

Leg = x

Part = 30 - 6 = 24

Plug in the values into the equation

30/x = x/24

Cross multiply

x² = 30*24

x² = 720

x = √720

x = 26.5 (nearest tenth)

✔️Apply the triangle altitude theorem to find y:

Based on the theorem, h = √(ab)

Where,

a = 6

b = 30 - 6 = 24

h = y

Plug in the values

y = √(6*24)

y = √144

y = 12

✔️Apply the leg rule, Hypotenuse/leg = leg/part to find z:

Hypotenuse = 30

Leg = z

Part = 6

Plug in the values into the equation

30/z = z/6

Cross multiply

z² = 30*6

z² = 180

z = √180

z = 13.4 (nearest tenth)

Write -76.62 as a mixed number

Answers

the answer is -76 31/50 !! hope this helped

Mhanifa please help i will mark brainliest :)

Answers

Answer:

AD=11.7 since corresponding side of parallelogram are equal.

BD=8.5 since corresponding side of parallelogram are equal.

Answer:

#1

Opposite sides are congruentAD = BC = 11.7 units

#2

Diagonals bisect each otherBD = BE + DE = 2*DE = 2*7.2 = 14.4 units

if f(x) =4x-2 and g(x) =2x+8, what is h (x) when h (x) =f (x) +g(x)

Answers

Answer:

h(x)=4x_2+2x+8

h(x)=6x+6

Answer:

h(x) = 6x + 6

Steps:

given:

f(x) = 4x-2

g(x) = 2x+8

h(x) = f(x) + g(x)

h(x) = 4x-2 + 2x+8

h(x) = 4x + 2x + 8 - 2

h(x) = 6x + 6

what is the mass of 20 buckets

Answers

20xmass of one bucket
10 percent is the mass number

Find the 65th term of the arithmetic sequence -30, -41, -52

Answers

Answer:

        a₆₅ = - 734

Step-by-step explanation:

The n-th term of arithmetic sequence:  [tex]a_n = a_1+d(n-1)[/tex]

a₁ = -30

a₂ = -41

a₃ = -52

-41 - (-30) = -11  and -52 - (-41) = -11

It means d = -11

Therefore:

              [tex]a_{65}=-30+(-11)(65-1)=-30-11\times64=-734[/tex]

i need this done pls :)

Answers

Answer:

300....?

Step-by-step explanation:

Find the area and perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of pi (no approximations). The figures below are based on semicircles or quarter circles.

*I found the area but I can't seem to find the perimeter

Answers

Answer:

[tex] A=(8 \pi +40) cm^2 [/tex]

[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]

Step-by-step explanation:

For semicircle:

Diameter = 8 cm

Radius (r) = 8/2 = 4 cm

For triangle:

Base (b) = 8 cm

Height (h) = 10 cm

Area of the shaded region

[tex] A=\frac {1}{2} \pi r^2 +\frac {1}{2}b.h[/tex]

[tex] A=\frac {1}{2} \pi (4)^2 +\frac {1}{2}(8).(10)[/tex]

[tex] A=(8 \pi +40) cm^2 [/tex]

By Pythagoras Theorem:

[tex] AC = BC = \sqrt {4^2 +10^2}[/tex]

[tex] AC = BC = \sqrt {16 +100}[/tex]

[tex] AC = BC = \sqrt {116}[/tex]

[tex] AC = BC =2\sqrt {29}[/tex]

[tex] P= \frac {1}{2} \times 2\pi r+ AC + BC[/tex]

[tex] P= \pi (4)+ 2\sqrt {29} + 2\sqrt {29}[/tex]

[tex] P=(4 \pi + 4\sqrt {29}) \: cm[/tex]

One side of an equilateral triangle is
9x + 13 units long. Another side is 17x - 15
units long. Since all sides are congruent,
what is the value of x?

Answers

Answer:

3.5

Step-by-step explanation:

Help worth 10 points I need the whole area of the shape

Answers

Answer:

1,736km^2

Step-by-step explanation:

Answer:

2,352 km^2

Step-by-step explanation:

So there is a square and 4 triangles.

You first, find the area of the square.

You then get: 35 x 48 = 1,680

Then you need to add the triangles.

Because we have 2 triangles on each side the area formula of a triangle in which is 1/2 times by the base and height can be solved by just B * H.

Doing that you can get: 48 * 7 = 336

Because you have 2 triangles, the final area results in:

1,680 + 336 * 2 = 2,352

Round to the nearest hundreds
Please help
I will give brainliest

Answers

Answer:

36+50.27=86.27

86.27cm^2

Step-by-step explanation:

3.14x4^2= 50.27

9x8=72/2=36

add them up and boom there goes your gf ... jk jk jk

then u get the answer ofc ;)

At Johnson middle school 80% of the sixth graders dressed up for neon day. There are a total of 90 students in the sixth grade. How many sixth graders dressed up for neon day

Answers

72 students dressed up for neon day
hope this helps

Please answer correctly!! I’ll mark as brainliest!

No links no fake answers

Answers

#5 is 21 but I don’t know about the first one

Answer:

The first answer is 31.5.

The second is 21.

Step-by-step explanation:

Do ALL These Questions CORRECT And You Get Brainliest And 35 Points! Also ill Follow You!

Answers

The image doesn't load for me.

A box of chocolates has 5 creme filled, 8 peanut butter filled, and 7 caramel filled chocolates. What is the probability, expressed as a
percent of randomly selecting a creme filled chocolate?
A) 5%
B) 15%
C) 20%
D) 25%

Answers

Answer:

25%

Step-by-step explanation:

Step 1: Add all the possible choices up

8 + 5 + 7 = 20

Step 2: Note that your finding the probability for creme filled ones

Step 3: Make it a fraction

5 creme filles ones out of 20

5/20

Step 4: Simplify

1/4

Step 5: Convert into a decimal (if you don't already know it)

1 ÷ 4 =

.25

Step 6: Multiply by 100 to find percentage

.25 × 100 = 25%

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