Alyssa starts with $40 and saves $10 each week. Bill has $24 and saves $12 each week. For numbers 5a. – 5c., determine whether each statement is True or False. Write "True" or "False" for each statement. a. Bill will never have more money than Alyssa. b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings. c. Alyssa and Bill will have the same amount of money at Week 6.

Answers

Answer 1

Answer: See explanation

Step-by-step explanation:

Alyssa starts with $40 and saves $10 each week. This can be written as:

= 40 + 10x

Bill has $24 and saves $12 each week. This can be written as:

= 24 + 12x

where, x = number of weeks

a. Bill will never have more money than Alyssa.

False.

From the 9th week, Bill will have more money than Alyssa. To check goes below.

Alyssa = 40 + 10x = 40 + 10(9) = 40 + 90 =$130

Bill = 24 + 12x = 24 + 12(9) = 24 + 108 = $132

b. Bill's savings can be represented by the equation = 12 + 24 where x is the number of weeks and y is his savings.

False.

Bill savings can be represented by:

= 24 + 12x

where, x = number of weeks

c. Alyssa and Bill will have the same amount of money at Week 6.

False.

Alyssa = 40 + 10x

= 40 + 10(6)

= 40 + 60

= $100

Bill = 24 + 12x

= 24 + 12(6)

= 24 + 72

= $96


Related Questions

Terence uses 1/3 pound of clay to make 5 ornaments. He uses the same amount of clay for each ornament. How much clay does Terence use for each ornament?

Which division expression represents this problem:
A - 3 / 1/5
B - 1/4 / 5
C - 5 / 1/3
D - 1/3 / 5

Answers

D. 1/3 / 5 is the correct answer

Given f(x)=-2x-3 and Range={-5,-1,-3} find Domain
{1,3,5}
{-1,0,1}
{2,3,1}
{0,-2,3}

Answers

Answer:

the answer is the 2nd option

domain = { -1, 0, 1 }

Trey takes the angle shown, places the point of his compass on S, and draws an arc with an arbitrary radius intersecting the rays of the angle at P and R. Trey claims that as long as he draws two more arcs by placing the needle of his compass on P and then on R, drawing a ray from S through the point at which the arcs intersect, he will be able to bisect ∠S. Is Trey correct?

A. Trey is correct. Since the initial arc was drawn with the point of the compass on S, RS=PS.

B. Trey is not necessarily correct. He will need to ensure that the compass width remains the same for each arc drawn from P and R.

C. Trey is correct. Since the compass is placed on the points P and R to draw the remaining two arcs, the ray drawn through their intersection will bisect the angle.

D. Trey is not necessarily correct. He will need to ensure that the distance from S to P and the distance from S to R are equal.

Answers

Answer:

b

because he isnt fight nor wrong

Step-by-step explanation:

The answer is B

PLEASE MARK BRAINLIEST

hope this helps! !

I would think your section of wilderness will be satisfied is the new wildlife refuge has its dimensions are 5×10 to the fifth power meters by 4×10 to the 4th m find the area of land in square meters

Answers

Answer:

2×10¹⁰ m²

Step-by-step explanation:

Dimensions of rectangle:

5×10⁵ m and 4×10⁴ m

The area is the product of the two dimensions:

5×10⁵ m × 4×10⁴ m =20×10₉ m² =2×10¹⁰ m²

Write an expression to show how much it costs per week to keep the 8 adults x where the number of pounds one adults in a day. Simplify your expression

Answers

Answer:

y = 56x

Step-by-step explanation:

Given the amount to keep one adult in a day to be x

Since 7 days = 1 week

Amount it will take to keep one adult for a week will be 7x

one adult = 7x pounds

To get the expression that show how much it costs per week to keep the 8 adults, we will say;

8 adults = y pounds

where y is the required amount

Solving both expressions

one adult = 7x pounds

8 adults = y pounds

Cross multiply

1 * y = 7x * 8

y = 56x

Hence the required expression is y = 56x

what’s the quotent of -3/8 and -1/4

Answers

Answer:

1.5

Step-by-step explanation:

-3/8=-0.375

-1/4=-0.25

the negatives cancel each other out so it is 0.375/0.25

.25 goes into .375  1.5 times, so the answer is 1.5

Have a good day!

1.5

It needs to be 20 characters long so I’m just putting this so I can actually submit. The other guy already out the explanation so I’m proud of you and just tryna get points. Anyways the calculator is always available too if you need it

Determined an equation for the pictured graph​

Answers

Do u have the app Qanda that could help!!

f(x)=-2x^2+6x+1
find F(-6)

Answers

Answer:

The answer is -107

Step-by-step explanation:

Wait how is it -107?

The whole number 24 is equivalent to ​

Answers

Answer:

24/1 please mark as brainliest

Answer: 24/1
Explanation: this would be 24/1 because when the denominator is a one whatever the top number is is a whole number.

Question 5 (2 points)
The graph shows the distance a car traveled, y, in x hours:

What is the rise-over-run value for the relationship represented in the graph?

1) 1/35
2)2/17
3) 35
4) 40

Answers

The rise-over-run relationship is the slope of the line. From the origin (0,0), to get to the next point, you would rise 35 units and run 1 unit.

35 / 1 = 35.

Ergo, the relationship is 35.

Answer:

The answer is 35

Step-by-step explanation: The other person who answered this got it correct and I took the test. :)

Similar Figures and Scale Drawings Extension brainliest plus 80 points !!!!!!!!!!!!!!!!!!

Answers

Answer:

1. 1/2 in = 6 feet

   1 3/4 in = 21 feet

2. x = 7

   y = 10

3.  GH= 2

4. x = 3

   y = 5

Answer:

6 aand 21

Step-by-step explanation:

Will someone help me with this one I'll give 18 points and brainliest
(A)TRUE
(B)FALSE

Answers

Answer:

a true

Step-by-step explanation:

hope this helps please give me brainliest

The hypotenuse of a right angled triangle is 24cm. The other two sides are such that one is 5cm longer than the other. Find the length of other two sides. ​

Answers

24^2 = x^2 + (x+5)^2

576= 2x^2 + 10x + 25

2x^2 + 10x -551 = 0

Solve for x using quadratic equations (look at picture for formula)

X=14.29 or x =-19.29 (disregard the negative answer because lengths can’t be in negative )

The last side is x+5= 14.25+5 = 19.25

Hope this helps..it’s been a while since I dealt with quadratic equations.

graph each equation using slope and y-intercept. plot 3 points and find m and b.

(SHOW ALL WORK)

Answers

Answer:

Hope this helped you!! Have a Wonderful Day!!

Step-by-step explanation:

true or false: The Coordinates (7,10) and (-7,10) belong to the fourth and second quadrants respectively

Answers

Answer:

i think that is false

Step-by-step explanation:

In a school with 300 students 18% of the students take violin lessons and 6% of the students take clarinet lessons.
A: find the number of students who take each type lesson.
B: How many more students take violin than take clarinet lessons?

Answers

Answer:
A) 54 violin students and 6 clarinet students
B) 36 more students
Explanation:
300 students * 0.18 (which is 18%) = 54 students
300 students * 0.06 = 18 students

54-18=36

Hope this helps :)

In the figure below, find the angle measures

Answers

X-12 +5x=90

That’s the set up
Let me know if you need more help

PLEASE PLEASE HELP!!!

Answers

Answer:

It's 0.75

Step-by-step explanation:

But if in fraction -3/-4

Greg has $2,571.68 in his bank account and makes automatic monthly rental payments of $321.46 for a car loan. If he stops making deposits to that account, when would the automatic payments make the value of the account zero? Write the equation using m for months that represents this scenario

Answers

Answer:

8 months

Step-by-step explanation:

Given that:

Amount of money present in the bank account = $2,571.68

Automatic monthly rental payments for car loan = $321.46

Any deposits in the bank account are stopped.

To find:

The number of months taken so that the automatic payments make the value of the account as zero?

Solution:

Let the number of months taken to make the value of the account zero = [tex]m[/tex] months

To find the value of [tex]m[/tex], we need to divide the total amount initially present in bank account with the monthly rental payment amount.

Therefore, the equation to find the value of [tex]m[/tex], can be written as:

[tex]m = \dfrac{2571.68}{321.46}[/tex]

On solving the above equation, we get the value as following:

[tex]\bold{m=8}[/tex] months

Danny is 5 years old and weighs 46 pounds. He is sitting on a swing when his sister Stacey pulls him and the swing back horizontally through an angle of = 45.0° and then holds him at static equilibrium. Find the magnitudes of both H and T.

Answers

Answer:

H = 46 lbs

T = 65.05 lbs

Step-by-step explanation:

From the given information:

The information shows a right triangle and the solution comes from the bottom leg H and the top T.

So, using the tangent of the trigonometric function;

tan θ = H/46 lbs

tan (45.0°) = H /46 lbs

1 = H /46 lbs

H = 46 lbs

From the top T

T cos θ = W

T cos 45.0° = 46 lbs

T = 46 lbs/cos 45.0°

T = 46 lbs / 0.7071

T = 65.05 lbs

Pls help me ASAP I DONT know what to put. I only have 6 minutes to answer pls help

Answers

Answer:

25

Step-by-step explanation:

15 divided by 6 is 2.5, and so is 32.5/13, so 2.5 is your scale factor. Multiply 10 by 2.5 for 25, which is the length of side XY.

Answer:

Step-by-step explanation:

the answer is that d and c is 13 m and y and z is 32.5 m

I need you to give me all of the answers on the page (i answered 2 to show how you will be doing it)

When you tell me the answers make it like this: 3:### 4:### or something like that.

Answers

Answer:

3. 72= (x)+(x+1)+(x+2) where x= the smallest number

72=3x+3

-3        -3

69=3x

/3   /3

x=23

x+1=24

x+2=25

smallest is 23

4. 48= (x)+(x+2)+(x+4)

48= 3x+6

-6        -6

42=3x

/3    /3

x=14

x+2=16

x+4=18

smallest is 14

5. all erasers were the same cost

25= 4x+5 (x= cost of erasers)

-5         -5

20=4x

/4   /4

x=5

each cost  $5

6. b= boxes

22= b/2 +7

-7            -7

15=b/2

multiply both sides by 2 to cancel the denominator

30=b

30 boxes originally

7. 40= total

8= left

2= balls given to each

x=number of friends

40= 2x+8

-8         -8

32=2x

/2   /2

x=16

she has 16 friends

8.  12= left

a= total allowance

12= (a/2) +4

-4            -4

8= a/2

multiply both sides by 2 to cancel the denominator

a= $16

she had an allowance of $16

9.  4 (2) = amount that her four children recieved

10=amount she took for herself

x= original

x= 4(2) + 10

x= 8 +10

x=18

she started with 18 candies

10. a= age

244= 400 - 2a

-400 -400

-156= -2a

/-2     /-2

a= 78

they are 78 years old

11. c= comic books

36=  c/2 + 16

-16           -16

20=c/2

multiply both sides by 2 to cancel the denominator

c=40

she started with 40 comic books

12.  b= students in buses

472= 9b + 4

-4             -4

468=9b

/9     /9

b= 52

52 students went in each bus

13. h= hats

17= h/2 +5

-5          -5

12=h/2

multiply both sides by 2 to cancel the denominator

h=24

she had 24 hats on monday

14. p= pies the club made

60= (p+4)/5

multiply both sides by 5 to cancel the denominator

300=p+4

-4         -4

p= 296

the club made 296 pies

Step-by-step explanation:

Convert the decimal 0.75 to a percent.

Answers

Answer:

75%

Step-by-step explanation:

A line passes through the points (4-3) and (0,0). What is the slope of the line?

Answers

Answer:

-0.75

Step-by-step explanation:

Answer:

Its -0.75

Step-by-step explanation:

give brainlest to other guy

PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!
A thermometer manufacturer compares the reading on one of its thermometers to a thermometer that they know is accurate. The accurate thermometer reads 25 degrees Celsius. Their thermometer reads 30 degrees Celsius. What is the percent error in their thermometer's reading?
A.2%
B.20%
C.83%
D.16%

Answers

Answer:

B. 20%

Step-by-step explanation:

Percentage Error = (Actual Value - Expected Value) / Expected Value * 100

Actual Value = 30

Expected Value = 25

Percentage Error = (30 - 25) / 25 * 100

Percentage Error = (5) / 25 * 100

Percentage Error = 0.2 * 100

Percentage Error = 20

A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.

Answers

we will say that his original salary is x

x+10x/100=154000

we bring to the same denominator

(100x+10x)/100=154000

we multiply with 100

110x=15400000

we divide by 110

x=140.000

Find the value of the expression below

Answers

Answer:

[tex]\huge\boxed{\sf -\frac{2}{9} }[/tex]

Step-by-step explanation:

[tex]\sf \frac{\frac{2}{3}-\frac{5}{6} }{\frac{3}{4} } \\\\= \frac{\frac{2(2)-5}{6} }{\frac{3}{4} } \\\\= \frac{\frac{4-5}{6} }{\frac{3}{4} } \\\\= \frac{-1}{6} / \frac{3}{4} \\\\= \frac{-1}{6} * \frac{4}{3} \\\\= -\frac{1*4}{6*3} \\\\= -\frac{1*2}{3*3} \\\\= -\frac{2}{9} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

5/9 x 6/15 x 15/4=

Plz help

Answers

Answer:

5/6

Step-by-step explanation:

13857552359.3 rounded by it nearest whole number. I will give the brainliest. Please help!

Answers

Answer:

13857552359

Step-by-step explanation:

13857552359.3

3 is less than 5, so round down to 13857552359

Answer:

what is given: 13857552359.3

Ones: 13857552359

Tens: 13857552360

Hundreds: 13857552400

Thousands: 13857552000

Millions: 13858000000

Hint: Each of the numbers are different

P.S I put all of them because you didnt say which whole number you wanted

Hope this helped!

If you drive 600 miles in 10 hours, what is your average speed? Options-
610 miles per hour
60 miles per hour
0 6,000 miles per hour
50 miles per hour. I’m so confused

Answers

60 miles per hour

Because 600 divided by 10 is 60 per 1 hour
Other Questions
Nadia has inserted an image into a Word document and now would like to resize the image to fit the document better. What is the quickest way to do this? keyboard shortcutsizing handlescontext menusizing dialog box The measure of an exterior angle of a polygon is 10 degrees. How many sides does thepolygon have? The Constitution contains no Bill of Rights to protect individual liberties like freedom of speech, trial by jury, and the right againstsearches and seizures. Answer O agreeO disagree The Aztec Empire came to an endwhen they were defeated by theA. FrenchB. RussiansC. ItaliansD. Spanish quick question. pls help!so should i stay up to get my homework done? or should i go to sleep since i havent gotten more that 3 hrs of sleep in 5 days (basically i havent slept)?HELPPPPPPP the cons of progressive taxes Explain what about life in Ancient China influenced Confucius' ideas. Do you think Confucius' philosophies and ideas would have been beneficial to people during this time? Write at least 2-3 sentences! In both passages, the authors reference Daphne becoming a tree. How does the author of Passage 2 transform the source material of Passage 1?In Passage 1, she is excited about becoming a tree, but in Passage 2, she is fearful about it.o In Passage 1, she changes into a tree against her will, but in Passage 2, she accepts her fate.o In Passage 1, she turns into a tree to trick Apollo, but in Passage 2, she does it to impress him.o In Passage 1, she relies on her father to turn her into a tree, but in Passage 2, she has control over it. If your friend was going to start lifting weights, would you recommend they use free weights or machines for their resistance activities? Explain why Hadron colliders are able to add protons in an element. When a proton is added to an existing element then;1.An ion is formed with same number of electrons2. Another isotope of the element is formed with same number of neutrons3. A second nucleus is formed with more neutrons4. Another element is formed with greater atomic number The zoo needs to hire b staff members for each exhibit. Write the expression forthe number of staff members they need to hire for 20 exhibits. Many of Georgia's first cities, located in the Piedmont region, grew as centers of trade and O agriculture. O tourism. O manufacturing. O banking. 50 points!!!!!!!Jeremy has heard a lot of people in the club talking about tackling a 950-foot rock formation. Jeremy has set a limit that they wont climb anything that takes longer than 7 hours, so they have enough time to travel to and from the place. Will it be possible to climb a 950-foot rock formation within Jeremys time constraint? Explain why or why not. HELPPP PLS What is the vertex form of the equation?y = x 2x+8 Please Help !!!! I need ASAP how do you solve 4devided by 12 step by step long division How many meters are in 100 millimeters? 1 10 0.1 100 Curtis estimates that he can run 18 mph. About how many feet per second can Curtis run if there are 5280 feet in a mile? Listen to the audio and then answer the following question. Feel free to listen to the audio as many times as necessary before answering the question. What does Juanito want to do at the zoo? Okay is this correct? Pls lmk!