You have $135 in a savings account and save $12 per week. Your friend has $95 in a savings account and saves $20 per week. How many weeks will it take for you and your friend to have the same balance?

Answers

Answer 1

Answer:

It will take 5 weeks for you and your friend to have the same balance

Step-by-step explanation:

Let

Your savings expression be

135 + 12x

Your friends savings expression

95 + 20x

Where,

x = number of weeks for you and your friend to have the same balance

Equate the two expressions

135 + 12x = 95 + 20x

Collect like terms

135 - 95 = 20x - 12x

40 = 8x

Divide both sides by 8

40/8 = x

x = 40/8

= 5

x= 5 weeks

Check

Your savings expression

135 + 12x

135 + 12(5)

=135 + 60

= $195

Your friends savings expression

95 + 20x

95 + 20(5)

= 95 + 100

= $195

Therefore, It will take 5 weeks for you and your friend to have the same balance


Related Questions

6x+5=23
Explain the steps used to solve

Answers

Answer:

x = 3

Step-by-step explanation:

Step 1:

6x + 5 = 23

Step 2:

6x = 18

Answer:

x = 3

Hope This Helps :)

Hey hons. I will dub the brainliest. please help tho. Remember, the answer isn't zero. Reward: Brainliest! (:

Answers

Answer:

The answer is 10

Step-by-step explanation:

Answer:

Answer is 10!

Step-by-step explanation:

6 to the 2nd power x 3 to the 3rd power

Answers

Answer:

972

Step-by-step explanation:

[tex] {6}^{2} \times {3}^{3} \\ = 36 \times 27 \\ = 972[/tex]

-1/2m=-9 what does m=

Answers

Answer:

m = 18

Step-by-step explanation:

Step 1: Write out equation

-1/2m = -9

Step 2: Multiply both sides by -2

m = 18

match with the appropiate property:​

Answers

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

hope this helps! :)

Answer:

Pemdas

Step-by-step explanation:

parenthesis

exponents

multiplication

division

addition

subtraction

HELP !!! Evaluate f(-2) for the function f(x) = 3x2 + 2x - 5

Answers

Answer:

3

Step-by-step explanation:

So we have the function:

[tex]f(x)=3x^2+2x-5[/tex]

To evaluate the value of f(-2), substitute -2 for x. Thus:

[tex]f(-2)=3(-2)^2+2(-2)-5[/tex]

Square first:

[tex]f(-2)=3(4)+2(-2)-5[/tex]

Multiply:

[tex]f(-2)=12-4-5[/tex]

Now, subtract:

[tex]f(-2)=8-5=3[/tex]

So:

[tex]f(-2)=3[/tex]

And we're done!

What is
the circumference of a circle with radius 3.5cm. Take [Pi=22/7]​

Answers

Answer:

22cm

Step-by-step explanation:

Circumference of a circle = 2πr

π = 22/7

r = 3.5

Circumference of a circle = 2 × (22/7) × 3.5

Circumference of a circle = 22cm.

How many rational numbers are between 1 and 6?

Answers

one ans six are infinite

What is -4(x+6) can someone pls help

Answers

Answer:

-4x - 24

Step-by-step explanation:

distribute the -4 by multiplying it by what is in the parenthisis. Since it is negative that makes a -4x and a -24

Hey there!

ANSWER: [tex]-4x-24[/tex]EXPLANATION:

[tex]-4(x+6)[/tex]

Let's separate -4 and x+6 with parenthesis.

[tex](-4)(x+6)[/tex]

Now let's separate all with parenthesis.

[tex](-4)(x)+(-4)(6)=-4x-24\\-4x-24(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

9. Krista and Emily wrote an equation of a line that is parallel to the line y = 3x - 1 and passing
through the point (5,9). Is either of them correct? Explain your reasoning?
Krista:
9 = 3(5) + b
9 = 15 + b
-6 = b
y = 3x - 6
Emily:
y- 9 = 3(x - 5)
y- 9 = 3x - 15
y = 3x - 24
Answer:
Explanation:

Answers

Step-by-step explanation:

Hey there!

The equation, of a st. line that passes through point (5,9) is,

[tex](y - y1) = m1(y - y1)[/tex]

Put the values,

[tex](y - 9) = m1(x - 5)[/tex]

It is 1st equation.

Now, another equation is,

y = 3x-1.........(ii)

Comparing the equation with y = mx+c.

Slope (m2)= 3

As per the parallel lines,

m1=m2=3

Putting,

the value of m1 in equation(i)

(y-9)= 3(x-5)

y-9= 3x - 15

y = 3x - 6.

So, Krista equation is correct.

Hope it helps...

5n+6+(−7n) what's is the answer

Answers

Answer:

The simplified answer is -2n+6

Step-by-step explanation:

All you have to do is simplify terms. -7n and 5n are terms you can combine, giving you -2n and +6 cant be simplified

find the area of each polygon created by the coordinates (4,4), (7, -1), (7,-4), (1,-4), (1, -1)

Area=____

Answers

Step-by-step explanation:

thats what I got hope this helped you out

please prove this...​

Answers

Answer:  see proof below

Step-by-step explanation:

Use the following Sum to Product Identities:

sin (A) - sin (B) = 2 cos (A+B)/2 · sin (A-B)/2

sin (A) + sin (B) = 2 sin (A+B)/2 · cos (A-B)/2

Given:  sin Ф = k sin β      -->   (sin Ф)/(sin β) = k

Proof RHS → LHS

[tex]\text{RHS:}\qquad \qquad \qquad \dfrac{k-1}{k+1}\tan\dfrac{\theta+\beta}{2}[/tex]

[tex]\text{Given:}\qquad \qquad \dfrac{\frac{\sin \theta}{\sin \beta}-1}{\frac{\sin \theta}{\sin \beta}+1}}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]

[tex]\text{Simplify:}\qquad \qquad \dfrac{\frac{\sin \theta}{\sin \beta}-\frac{\sin \beta}{\sin \beta}}{\frac{\sin \theta}{\sin \beta}+\frac{\sin \beta}{\sin \beta}}}\cdot \tan\dfrac{\theta +\beta}{2}\\\\\\.\qquad \qquad \qquad = \dfrac{\sin \theta -\sin \beta}{\sin \theta +\sin \beta}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]

[tex]\text{Product to Sum:}\qquad \quad \dfrac{2\cos \frac{\theta+\beta}{2}\cdot \sin \frac{\theta-\beta}{2}}{2\sin \frac{\theta+\beta}{2}\cdot \cos \frac{\theta-\beta}{2}}\cdot \tan\dfrac{\theta +\beta}{2}[/tex]

[tex]\text{Expand:}\qquad \qquad \dfrac{2\cos \frac{\theta+\beta}{2}\cdot \sin \frac{\theta-\beta}{2}}{2\sin \frac{\theta+\beta}{2}\cdot \cos \frac{\theta-\beta}{2}}\cdot \dfrac{\sin\frac{\theta +\beta}{2}}{\cos \frac{\theta +\beta}{2}}[/tex]

[tex]\text{Simplify:}\qquad \qquad \quad \quad \dfrac{\sin \frac{\theta +\beta}{2}}{\cos \frac{\theta+ \beta}{2}}\\\\\\.\qquad \qquad \qquad \quad =\tan\dfrac{\theta +\beta}{2}[/tex]

 [tex]\text{LHS = RHS:}\quad \tan\dfrac{\theta +\beta}{2}=\tan\dfrac{\theta +\beta}{2}\quad \checkmark[/tex]

Translate the following mathematical sentence into an algebraic expressionſequation.
Five less than the product of seven and a number is forty-two.

Answers

Answer:

(7+x)-5=42

Step-by-step explanation:

Follow me for more answers If you like my way of solving

A company manufactures and sells shirts. The daily profit the company makes depends on how many shirts they sell. The profit, in dollars, when the company sells x x shirts can be found using the function f ( x ) = 8 x − 40. F(x)=8x−40. Find and interpret the given function values and determine an appropriate domain for the function.

Answers

Answer:

Domain = [0, ∞).

Step-by-step explanation:

he profit, in dollars, when the company sells x shirts can be found using the function

[tex]f(x)=8x-40[/tex]

For x=0,

[tex]f(0)=8(0)-40=-40[/tex]

It means, if company sells 0 shirts, then company makes loss (because of negative sign) of $40.

For x=5,

[tex]f(5)=8(5)-40=0[/tex]

It means, if company sells 5 shirts, then company makes profit of $0 means no loss no profit.

For x=10,

[tex]f(10)=8(10)-40=40[/tex]

It means, if company sells 10 shirts, then company makes profit of $40.

Domain is the set of input values.

We know that number of shirts can not be negative, therefore the value of x is always greater than or equal to 0.

Domain = [0, ∞).

Therefore, the domain for the function is [0, ∞).

4 x ((-4)= (-2) - (-3) + (-6))

Answers

Answer:

x=5/16

Step-by-step explanation:

Let's solve your equation step-by-step.

4x(−4)=−2−(−3)−6

Step 1: Simplify both sides of the equation.

4x(−4)=−2−(−3)−6

−16x=−2+3+−6

−16x=(−2+3+−6)(Combine Like Terms)

−16x=−5

−16x=−5

Step 2: Divide both sides by -16.

−16x

−16

=−5/−16

x=5/16

can I be the brainiest please!!

I need help please someone help me !!!!!!

Answers

17.) 49
18.) 14
19.) 42.3
20.) 111.1

Hopefully these are eighth if not I’m sorry

b) The number when 75% of the number is 12

Answers

Answer:

16

Step-by-step explanation:

(75/100)*x=12

75x=12*100

75x=1200

x=1200/75

x=16

Answer:

16

Step-by-step explanation:

divide 75 by 100

multiply 12 by 100

which is 1200

divide 1200 by 75

and your answer is 16

The circumference of a quarter is approximately 7.54 mm. What is its diameter to the nearest tenth of a millimeter? (π = 3.14)

Answers

Answer:

2.40mm

Step-by-step explanation:

In this problem. we are required to solve for the diameter of a circle.

Given data

circumference of circle c= 7.54mm

we know that the expression for the circumference is given as

c= 2πr

We can substitute our given data to solve for r

7.54= 2*3.142*r

7.54=6.284*r

divide both sides by 6.284 we have

r= 7.54/6.284

r= 1.199

diameter = 2*r

diameter= 1.199*2

diameter= 2.399

to  the nearest tenth

diameter= 2.40mm


Solve the equation by inserting the assigned value.
NH
(6a - 10) = 12 – (6 - 3a), when b=11
A = ?

Answers

Answer:

a = 5.333..  or 5 1/3

Step-by-step explanation:

I am not sure what your question is but it looks like you need to solve for  a.

Based on that fact:

6a - 10 = 12 - 6 +  3a      you multiply -1  by each term in the parenthesis

Then it is simple algebra

6a -10          =        6+ 3a

     +10               + 10                   add 10 to both sides

6a                =  16  + 3a

-3a                         -3a                 add  -3a to both sides

3a  = 16                     Divide both sides by 3

a = 5.3333

HELLPPPP PLEASE QUICKK ASAP

Answers

Answer:

9

Step-by-step explanation:

The reason why it is 9 is because if you look to the bigger triangle, you can see that 15 is 3/4 the size of 20, so once you find what number is 3/4 of 12, you have the answer, 9! Hope this helps!

check the image needed more words :p

Answers

i got 16.8 , but she’ll need roughly 17 gallons of paint :)

how i did it :

1. so you know she’ll need 4/5 per book case, and there are 16 bookcases.
2. So you do 16 x 5, then you get 84
3. and you divide 84 by 5. and you’ll get 16.8, that’s how many gallons of paint she needs
i don’t know i’m so sorry

(-1)² + (-2) + (-3)² + (-4)²​

Answers

Answer: GIVE MEEEE BRAINLIEST PLEASE

(−1)2−2+(−3)2+(−4)2

=24

Step-by-step explanation:

(−1)2−2+(−3)2+(−4)2

=24

√45 rounded to the nearest 0.05 ????​

Answers

Answer:

6.7082039325......tbc

what is the answer to g+3=17

Answers

Answer:

g=14

Step-by-step explanation:

do 17-3, the answer is 14, meaning 14=g

Answer:

g = 14

Step-by-step explanation:

g+3 = 17

Subtract 3 from each side

g+3-3 = 17-3

g = 14

I need help it says what could I change in this polynomial to make them like terms.
[tex] {2x}^{2} + 5x - 6y + 2y - 7[/tex]

Answers

Answer:

2x² + 5x - 4y - 7

Step-by-step explanation:

combine the like terms -6y and 2y

2x² + 5x - 6y + 2y - 7

2x² + 5x - 4y - 7

The product of twice the length and the width

Answers

Answer:

The answer to the question is 2(l+w).

The length of an alligator in a zoo is 14 5/6 feet.The everglades national parks list the longest alligator ever reocord in florida at 17 5/12 feet. Which is the differnce in their lenghth

Answers

Answer:

The difference in the lengths of the two alligators = 3

Step-by-step explanation:

First, let us make the lengths improper fractions, then we will find the difference from there.

Alligator 1:

Length = [tex]14\frac{5}{12} = \frac{173}{12}[/tex]

To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]

Alligator 2:

Length = [tex]17\frac{5}{12} = \frac{209}{12}[/tex]

Now Let us find the difference between the lengths:

[tex]\frac{209}{12} - \frac{173}{12} = \frac{36}{12} =3[/tex]

Therefore the difference in the lengths of the two alligators = 3

Which problem is modeled?

0.8 – 0.5 = 0.3
0.08 – 0.03 = 0.05
0.8 – 0.3 = 0.5
0.08 – 0.05 = 0.03

Answers

Answer:

The answer is 0.8-0.3=0.5.

-5(k + 6) + 7(k – 4)

Answers

the answer is- 2k-58.
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