5 points
Cyndi has $55. Her sister has $115. Cyndi saves $10 per week. Her sister saves $6 per week. How many weeks will it
take for Cyndi and her sister to have the same amount of money? Write an equation and solve.

Answers

Answer 1

Answer: It will take 15 weeks for Cyndi and her sister to have the same amount of money.

Step-by-step explanation:

Given: Cyndi has $55. Her sister has $115.

Cyndi saves $10 per week. Her sister saves $6 per week.

Let x= Number of weeks.

Total amount of money Cyndi has = 55+10x            (i)

Total amount of money sister has = 115+6x              (ii)

From (i) and (ii) , we get

[tex]55+10x=115+6x\\\\\Rightarrow\ 10x-6x=115-55\\\\\Rightarrow\ 4x=60\\\\\Rightarrow\ x=\dfrac{60}{4}\\\\\Rightarrow\ x=15[/tex]

Hence, it will take 15 weeks for Cyndi and her sister to have the same amount of money.


Related Questions

Which of the choices best describes this arithmetic sequence?
-3, 1, 5, 9, 13,...

Answers

Answer:

Add by 4

Step-by-step explanation:

-3+4=1

1+4=5

5+4=9

9+4=13

plss can someone do this ive been trying for hourss

Answers

Answer:

(6+y) (6-y) / 6-y

Step-by-step explanation:

Answer:

Negative Infinity

The base of an isosceles triangle is 7cm long. Each of the other two sides is x cm long. What will be the expression for its perimeter​

Answers

Let the length of the base of an isosceles triangle = x cms, then the length of a

leg =(x-7)cms. Acordingly:-

(x-7)+(x-7)+ x= 52 cms.

or. 3x=52+14

or. x = 66/3 = 22 cm.

Length of the base= 22 cm.

Julie collects antiques. She bought one antique for $300. Its current value is represented by the expression 300(0.75)',
where t is the number of years Julie has owned the antique. Is Julie's antique going up or down in value?
Julie's antique is going
in value.

Answers

Answer:

they are gonna go down in value

Step-by-step explanation:

Answer:

down

Step-by-step explanation:

If the value in the perenthesis is a decimal it is an exponential decay.

LOOK AT THE PHOTO...What kind of line and which direction do you shade for this inequality y > 4x - 3? Line: solid; Shade: below Line: solid; Shade: above Line: dotted; Shade: below Line: dotted; Shade: above​

Answers

Answer:

dotted, below

Step-by-step explanation:

it will be dotted because the values that are equal to positive y and are on the line are not includedyou shade below the line because the only possible solutions for y are the negative numbers and they go down the plane

(3x3 + 2x² + 10) + (3x3 + 2x2 + 10x)

Answers

Answer:

(3x  3 +2x  2  +5x+5)

Step-by-step explanation:

(3x3 + 2x^2 +10) +(3x3 +2x2 +10x)

(9 + 2x^2 +10) +(9+4+10x)

(19+2x^2) +(13 +10x)

now opening the brackets

19 +13 +2x^2 +10x

2x^2 + 10x +32

taking 2x common

2x(x+5) +32

Find the value of x if PQRS is a rhombus

Answers

X = 11
I know for sure. Just did this unit

Answer:

x = 11

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other, thus

8x + 2 = 90 ( subtract 2 from each side )

8x = 88 ( divide both sides by 8 )

x = 11

Find the slope of the line that passes through
(10, 1) and (6,2)

Answers

Answer:

m=-1/4

Step-by-step explanation:

2-1/6-10=1/-4

-1/4 is the slope

Answer:

slope is y2-y1/x2-x1

so slope is 1/-4

answer is -1/4

3x+45=60 solve for x

Answers

Answer:

x = 5

Step-by-step explanation:

you subtract 45 from both sides

3x = 15

you divide both sides by 3

x = 5

Answer:

x = 5

Step-by-step explanation:

A store is having a 20 percent off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.

Answers

Answer:

$65

Step-by-step explanation:

Given

Percentage discount = 20%

Equivalent amount saved = $13

Let the original price of the product be x

To get x;

20% of x  = 13

0.2x =  13

0.2x  = -13

0.2 = 13

x = 13/0.2

x = $65

Hence the original price of the product is $65

the circumference of a child's swimming pool that has a radius of 3 feet.

Answers

Formula for circumference= (2)(pi)(r) or (pi)(d)
diameter=2r=6ft
6ft*3.14=18.84

Is the value of the expression greater than 1, equal to 1, or less than 1?
3^-3

Answers

Answer:

less than one if you're math is right you should know

Step-by-step explanation:

1 is always less than 3^-3

In the past, the mean running time for a certain type of flashlight battery has been 9.7 hours. The manufacturer has introduced a change in the production method and wants to perform a hypothesis test to determine whether the mean running time has increased as a result. The hypotheses are: H 0: μ = 9.7 hours H a: μ > 9.7 hours where μ is the mean running time of the new batteries . Explain the meaning of a Type I error.

Answers

Answer:

Step-by-step explanation:

From the information given:

[tex]\mathbf{H_o: \mu = 9.7 \ hours}[/tex]

[tex]\mathbf{H_1: \mu > 9.7 \ hours}[/tex]

The type 1 error is rejecting [tex]\mathbf{H_o}[/tex] when

The meaning of Type 1 error is rejecting the claim that the mean running time is 9.7 hours when actually the mean running time is greater than 9. 7 hour.

4. Which of the following formulas can be used to write 0.797979... as a fraction?

Answers

Answer:

The options are not shown, so i will answer this in a general way.

When we have a number like:

0.7979....

The steps to writing it as a fraction are the following ones:

1) First, you need to notice the repeating decimals.

In this case is easy to see that the repeating decimals are two, 7 - 9

2)we can multiply this number by 10^n, where n is the number of repeated decimals, in this case n = 2

10^2 = 100

then:

0.7979...*100 = 79.7979...

Now we can subtract the original number:

79.7979... - 0.7979 = 79

And this is equivalent to have:

0.7979..*100 - 0.7979... = 0.7979..*99 = 79

Then we know that if we multiply our number by 99, the outcome will be an integer.

Then we can multiply and divide by the same number (this is equivalent to multiply by one) as follows:

0.7979...*1 = 0.7979..*(99)/(99)  = (0.7979..*99)/99 = 79/99

Then:

0.7979... =  79/99

Answer:

[tex]S_{inf.} - \frac{\frac{79}{100} }{1-\frac{1}{100} }[/tex]

Pretend "inf." is the infinity symbol, I couldn't put the actual symbol. It's option B.

He calculates that these two periods account for 18% of minutes he spends at school. How many does he spend at school.

Answers

Answer:

26

Step-by-step explanation:

a sabeeeer

Step-by-step explanation:

Select two ratios that are equivalent to
what are ratios are equivalent to 2:9

Answers

Answer:

3,18    4,27

Step-by-step explanation:

Answer:

4:18 and 6:27

Step-by-step explanation:

Since ratios can also be written as a fraction, multiply the fractions by any whole number of your choosing.

2/9*2=4/18

2/9*3=3/27

A gannet flies 24 1/2ft above sea level. It increases its elevation by 5ft. Then it dives and changes its elevation by -47 2/3ft. After it dives, what is the gannets elevation relative to sea level?

Answers

Answer:

Its elevation relative to the sea level is -18 1/6 ft (it is 18 1/6 below sea level)

Step-by-step explanation:

Here, we want to calculate the elevation relative to sea level

The sea level refer to the base of the sea

We follow the flight procedure;

distance of 24 1/2 ft above sea level , then go further up by 5

its elevation now is 24 1/2 + 5 = 29 1/2 ft

A change of -47 2/3 ft

So the elevation now will be;

29 1/2 - 47 2/3

= 59/2 - 143/3

= (177-286)/6 = -109/6

= -18 1/6 ft


help! find domains! algebra!

find domains of
2(x-2) +4
2*-(x-2) + 4

i will give brainliest to a correct answer with explaination!

Answers

Answer:

The domain of 2(x-2)+4 is all real numbers, as well as for 2-(x-2)+4

Step-by-step explanation:

write an equation for the both term of the arithmetic sequence 30,26,22,18

Answers

Answer:

I guess it decreases by 4 everytime so -4??? If thats what your asking

Step-by-step explanation:

30,26,22,18,14,10,8,4,-2.

(2x + 7y) (4x – 8y)

Answers

Answer:

= 8x^2 + 12xy − 56y^2

Step by step:

(2x+7y)(4x−8y)

=(2x+7y)(4x+−8y)

=(2x)(4x)+(2x)(−8y)+(7y)(4x)+(7y)(−8y)

=8x^2−16xy+28xy−56y^2

=8x^2+12xy−56y^2

Three billiard balls are left on the table. Use the expressions to determine which two balls are furthest apart.

Answers

Answer: Balls 4 and 9 are furthest apart

Step-by-step explanation:

The 9 and 4 ball are farthest from each other.

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given that, three billiard balls are left on the table, we need to determine which two balls are furthest apart.

So, the balls are in the shape of a triangle, we know that, the greatest angle is opposite of the largest side,

So, we will find the angles first,

Since the angles of a triangle add up to 180 degrees,

(x-5)+(2x+1)+(3x-8)=180,

6x-12=180.

x = 32.

That means the 9 ball is at 27 degrees, the 4 ball is at 65 degrees, and the 5 ball is at 88 degrees.

Based on the angles, the farthest distance would be between balls 9 and 4.

Hence, the 9 and 4 ball are farthest from each other.

Learn more about expression, click;

https://brainly.com/question/14083225

#SPJ3

Find the value of b if the two points (b,5) and (3b,7) have a slope of 10

Answers

Answer:

-20/3

Step-by-step explanation:

it would be 7-5/3b-b=10

2/3b-b=10 then multiply 2 on both sides

3b-b=20 divide 3 on both sides

20/3

-b=20/3

-b/1=20/3 cross multiply

-20/3

The value of b if the two points (b,5) and (3b,7) have a slope of 10 is 0.1 and this can be determined by using the two point slope formula

Given :

Points  --  (b,5) and (3b,7)Slope  --  10

The formula of the slope when two points are given can be used in order to determine the value of 'b'.

The formula of the slope is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

where m is the slope of the line, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the points on the line.

Now, substitute the values of known terms in the above formula in order to determine the value of 'b'.

[tex]\rm 10 =\dfrac{7-5}{3b-b}[/tex]

Simplify the above expression.

[tex]\rm 10 =\dfrac{2}{2b}[/tex]

Cross multiply in the above expression.

20b = 2

b = 0.1

So, the value of b if the two points (b,5) and (3b,7) have a slope of 10 is 0.1.

For more information, refer to the link given below:

https://brainly.com/question/20786109

hey i hope ur having a good day can you answer these?
thank you

Answers

question one

180 - 6 = 174 ( c )

because angles on a straight line are 180 !

question two

AB = 6 units

AC = 8 units

( i just counted the boxes )

BC = square root ( 36 + 64 ) = 10

( pythagorus’ theorum )

6 + 8 + 10 = 24 units ( b )

im late but :(

Answer:

1. C

2. B

Step-by-step explanation:

hope this helped <33

bye hope ur day is good :)

A circle has a circumferende of 13.04
units

Answers

What solution are you trying to find here with the circumference? Radius, diameter? I need more details so I can help you out. Thanks!

Solve the system of linear equations by graphing y= -x+4 and y= 2x-8 what is the solution

Answers

Answer:

4=x

Step-by-step explanation:

y=-x+4

y=2x-8

-x+4=2x-8

+x       +x

4=3x-8

+8   +8

12=3x

/3   /3

4=x

express as a simple logarithm and simplify. PLEASE HELP!!!! asap!!! will give brainliest!!! thank you!!!

Answers

Answer:

A. [tex]log_{2} \frac{y}{x^5}[/tex]

Step-by-step explanation:

When expressing and simplifying this, we can see that the answer choice is A. [tex]log_{2} \frac{y}{x^5}[/tex]

Answer:

( C ) log2 x5y

Someone please help me with this geometry question

Answers

Answer:

Step-by-step explanation:

-7x + 12 + (-8x + 48) = 180

-15x + 60 = 180

-15x = 120

x = -8

m<BDC= -7(-8)+ 12 = 56 + 12 = 68

m<CBA = -8(-8)+48 = 64+48 = 112

Answer:

x=-8

mbdc=68

Step-by-step explanation:

bda is a straight angle

=> bdc+cda=180°

=> (-7x+12)°+(-8x+48)°=180°

=> -15x+60=180°

=> -15x=120°

=> x=-8

bdc= (-7)×(-8)+12=68°

ASAP plss
An amusement park is holding a contest for people who are in line before 7 AM. The 42nd person in line winds free admission, and so do the six people before and after that person. Which graph could be used to determine the winners?

Answers

Answer: Bottom left

Step-by-step explanation:


can anyone help answer all these questions

Answers

Answer:

A -2,-3, B 0,-3  C -1,1

Step-by-step explanation:

Select the two correct factors of the polynomial:​

Answers

Answer:

(x + 6)

(x - 7)

Step-by-step explanation:

To factor the polynomial in form [tex]x^{2} +bx+c[/tex] find two factors of C that have a sum of B

B = -1

C = -42

Factors of 42:

1, 2, 3, 6, 7, 14, 21, 42

6 and -7 multiply to -42 and add to -1

Write in factored form:

(x + 6)(x - 7)

Answer:

(x - 7)(x + 6)

Step-by-step explanation:

Given

x² - x - 42

Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)

The factors are - 7 and + 6 , since

- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus

x² - x - 42 = (x - 7)(x + 6)

Other Questions
50 POINTS!!!!!!!!!!!PLZ ANSWER FAST!!!!!!Type the correct answer in the box. Spell all words correctly. What type of website should ABC Corporation create? ABC Corporation is a business organization that wants to create a website to provide information about their company to the public. ABC Corporation should create (BLANK) a website. find the midpoint rounded to the nearest hundreth a (-2,1) b (-1,1) Which of the following is not a balanced nuclear equation?O a) 130 Sn + B + 1315bd) 19Pt 158 Os+jac) Be 19 Li + ABb) 2U 1a +23490ThNe The data was modeled with a linear best-fit function. What was the initialpurchase price?X Y4. 5,0007. 6,8759. 8,12512. 10,000A. $625B. $2,500C. $5,000D. $5,625 In the sixth grade, 54% of the students are boys. There are 189 boys in the sixth grade. What is the total number of students in sixth grade? A. 54 B. 161 C. 189 D. 350. (explain what did u do to get you're answer ) How have date a f boy?And the experience you had learned from the relationship? In a lighting, green light glows after every 12 seconds, red light glows after every 30 seconds, blue light glows after every 34 seconds and yellow light glows after every 56 seconds. Find the least time in minutes after which they all glow together. pls help will give brainliest Which are examples of dramatic irony from Romeo and Juliet? Check all that apply.-Juliets mother thinks that Juliet is preparing for her wedding to Paris, but Juliet actually plans to drink the sleeping potion that night.-Juliet thinks about what will happen to her if the sleeping potion does not work.-Juliets father arranges for her to marry Paris, but Juliet has already secretly married Romeo.-Tybalt starts a fight with Romeo, but he and Romeo are actually kin now that Romeo and Juliet have secretly married.-Peter, the Capulets servant, engages in wordplay while arguing with the musicians. PLEASE HELP ME I NEED IT DONE TODAY!!!!!!!!!!!!Discussion TopicYou know how businesses use spreadsheets in their day-to-day operations for storing, computing, analyzing, and visualizing data. Discuss the advantages of using spreadsheets to manage and organize your personal life. 5. Which of the following elements will have a charge of 4+ or 4- as an ion? Hey there! please help I can't find the answer in my textbook for these notes :)During the _________, ATP and NADPH molecules produced in the light-dependent reactions are used to produce high-energy sugars from carbon dioxide. Thank you so much! Factor 16x 12 by the GCF. The Constitutional Conventions dispute over state representation was settled by? Part A : Which of the following best identifies the text main idea about lying "Uh oh, Nenny. Better get the broom. Too much trash our yard today." House on mango street what does she mean . Brian Inc. borrowed $8,000 from First Bank and signed a promissory note. What entry should Brian Inc. record? Who was most responsible for the Declaration of Independence?a- the First Continental Congressb- John Adamsc- Ben Franklind- the Second Continental Congress is 4 Fe + 3 O2 --> 2 Fe2O3balanced? A mover slides a refrigerator weighing 650 N at a constant velocity across the floor a distance of 8.1 m. The force of friction between the refrigerator and the floor is 230 N. How much work has been performed by the mover on the refrigerator