Alma borrows money from her mom to buy a $150 bike. She gives her mom $40 at the time of purchase and continues to pay her $10 each month until the bike is paid for in full. Alma wrote this equation to represent the amount y that she will have paid her mom after x months.Equation:y 5 40x 1 10Is her equation correct? How did she get that equation? If it is not correct, write a correct equation.

Answers

Answer 1

Given:

Total amount of bike = $150

Alma gives her mom $40 at the time of purchase and continues to pay her $10 each month until the bike is paid for in full.

Alma's equation: [tex]y=40x+10[/tex]

To find:

Whether her equation is correct or not.

Solution:

Let y be the amount that she will have paid her mom after x months.

She pays $10 each month.

She will $10x in x months.

Initially she gives $40 to her mom at the time of purchase. So, total amount she pays after x months is

Total amount [tex]=40+10x[/tex]

Since, y represents the amount that she will have paid her mom after x months, therefore

[tex]y=40+10x[/tex]

Alma multiply the variable x with 40 instead of 10.

Hence, Alma is incorrect and the correct equation is [tex]y=40+10x[/tex].


Related Questions

I'm unsure of what the answer to this is, I need help.

Answers

Answer:

I think it would be A

Step-by-step explanation:

Because 9/6 is 1.5 and when you do 3/2 it is also 1.5.

I hope this helps

Hi, Could anyone help me with my homework
What is
[tex]\mathrm{(x+4)^6}[/tex]
Please help A.S.A.P.!!

Answers

Answer:

[tex]\hookrightarrow \sf x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096[/tex]

solving steps:

[tex]\rightarrow \sf (x + 4)^6[/tex]

[tex]\bold{rewrite \ the \ following}[/tex]

[tex]\rightarrow \sf (x + 4)^2 (x + 4)^2 (x + 4)^2[/tex]

[tex]\bold {formula \ used : \sf (x+a)^2 = (x^2 + 2xa + a^2)}[/tex]

[tex]\rightarrow \sf (x^2 + 8x+16) (x^2 + 8x+16) (x^2 + 8x+16)[/tex]

[tex]\bold{simplify \ by \ removing \ parenthesis}[/tex]

[tex]\rightarrow \sf (x^4 +8x^3 + 16x^2 + 8x^3 +64x^2 + 128x+16x^2+128x+256 ) (x^2 + 8x+16)[/tex]

[tex]\bold{basic \ addition \ of \ integers }[/tex]

[tex]\rightarrow \sf (x^4+16x^3+96x^2+256x+256) (x^2 + 8x+16)[/tex]

[tex]\bold{remove \ parenthesis}[/tex]

[tex]\rightarrow \sf (x^6 + 16x^5 + 96x^4 + 256x^3 + 256x^2 + 8x^6 + 128x^4 + 768x^3 + 2048x^2 + 2048 + 16x^4 + 256x^3 + 1536x^2 + 4096x + 4096)[/tex]

[tex]\bold {final \ answer:}[/tex]

[tex]\rightarrow \sf x^6+24x^5+240x^4+1280x^3+3840x^2+6144x+4096[/tex]

If I have $6600 after investing $6000 for 5 years, what was the rate? (Write as a percent.)

Answers

Answer:

10%

Step-by-step explanation:

6600-6000=600

You've earned $600

600/6000 = 1/10 or 10%

Answer:

1.925%

Step-by-step explanation:

to check, use the equation [tex]6000(1+.01925)^5[/tex]

this gives us the value of 6600.16.

please rate 5 stars and mark as brainlest.

BRAINALEST!!!!!!!!!! 1/2 + 2/9 + 1/6

Answers

Answer:

8/9

Step-by-step explanation:

Solving

Step 1: Find the LCM of the denominators 2, 9, and 6:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60As you can see, the LCM of these denominators is 18

Step 2: Convert each fraction into an equivalent decimal with denominator as 18.

[tex]\frac{1}{2} = \frac{x}{18}[/tex], [tex]\frac{1*9}{2*9}= \frac{9}{18}[/tex] [tex]\frac{2}{9} = \frac{x}{18} , \frac{2*2}{9*2} = \frac{4}{18}[/tex] [tex]\frac{1}{6} =\frac{x}{18} , \frac{1*3}{6*3} =\frac{3}{18}[/tex]

Step 3: Add the fractions.

9/18 + 4/18 + 3/1813/18 + 3/1816/18 (GCF of 16 and 18 is 2)16/2 = 8, 18/2 = 98/9

Have a lovely rest of your day/night, and good luck with your assignments! ♡

Answer:

8/9

Step-by-step explanation:

Take LCM of denominators 2, 9 & 6 = 18

1/2

[ 18/2 = 9 ]

Multiply 9 to both numerator and denominator,

1/2 * 9/9

= ( 1*9 )/( 2*9 )

= 9/18

2/9

[ 18/9 = 2 ]

Multiply 2 to both numerator and denominator,

2/9 * 2/2

= ( 2*2 )/( 9*2 )

= 4/18

1/6

[ 18/6 = 3 ]

Multiply 3 to both numerator and denominator,

1/6 * 3/3

= ( 1*3 )/( 6*3 )

= 3/18

( The denominator need to be same in order to add the fractions )

1/2 + 2/9 + 1/6

= 9/18 + 4/18 + 3/18

= ( 9 + 4 + 3 )/18

= 16/18

16 = 2*8

18 = 2*9

16/18

= ( 2*8 )/( 2*9 )

= 8/9

Rewrite in simplest term: 3(-7h-4)+4(h-6)

Answers

Answer:

-17h-36

Step-by-step explanation:

mutiply 3 by each terms inside the parenteses

you will get:

-21h-12+4h-24

-17h-36

Hope this helps ... 1 and 2 are the steps

On Saturday Suzie's Pretzel Stand sold a total of 12 items. Suzie charges $3 for a pretzel and $2 for a milkshake. If she took in $32 on Saturday, how many milkshakes and pretzels were sold?

Answers

Answer:

Eight pretzels and four milkshakes.

Please help work this out

Answers

Answer:

m<1 = 69˚

Step-by-step explanation:

m<1 = 1/2(138˚)

Question 10

Jordan is trying to graph the following inequality: y < 2x – 10
He plugs in (0, 0) like this: 0 < -10
He decides that this is true, so he shades the side with (0, 0).
What did Jordan do wrong?

Answers

Answer:

Step-by-step explanation:

"0 < -10" is actually false, so Jordan has shaded the wrong side.

which piece wise function is graphed below

Answers

Answer:

Option A

Step-by-step explanation:

Here is how to approach the problem:

We see that all our restrictions for all four answer choices are relatively the same with a couple of changes here and there.
One way to eliminate choices would be to look at which restrictions don't match the graph.

At x<-5, there is a linear function that does have a -2 slope and will intersect the x axis at -7. The line ends with an open circle, so any answer choice with a linear restriction of x less than or equal to -5 is wrong. This cancels out choices C and D.

Now we have two choices left.

For the quadratic in the middle, the vertex is at (-2,6) and the vertex is a maximum, meaning our graph needs to have a negative sign in front of the highest degree term. In our case, none of our quadratics left are in standard form, and instead are in vertex form.

Vertext form is f(x) = a(x-h)^2 + k.

h being the x-coordinate of the vertex and k being the y-coordinate.

We know that the opposite of h will be the actual x-coordinate of the vertex, so if our vertex is -2, we will see x+2 inside the parenthesis. This leaves option A as the only correct choice.

Can someone help with this question I’m having a problem I will give 25 points

Answers

Answer:

3

Step-by-step explanation:

The term quotient mean division so that would be 24/8, which equals 3

what is the area of hals patio walkway and garden?​

Answers

Answer:

3 ft

Step-by-step explanation:

10 - 7 = 3

hope this helps you!

I need the awnser for number 16 I will brainlist who ever can provide the awnser

Answers

Answer:

Not rounded: 1602.342

Rounded: 1602.3

Step-by-step explanation:

Volume of cone : 3.14(r^2)h/3

3.14(9^2) 19/3

3.14(81)19/3

(254.34)19/3

(254.34)6.3

1602.342

Have an amazing day!!!

Please rate and mark brainliest!!

Kim and Stacy like to make necklaces. Kim has made 252525 necklaces, and Stacy has made ttt necklaces. They have made a total of 575757 necklaces all together.
Write an equation to describe this situation.
How many necklaces did Stacy make?

Answers

Answer: 575757-252525=323232

Step-by-step explanation:

if the total is 575757 then you just have to subtract how many Kim made to figure out how many Stacy made

PLEASE HELP ME

find the common factor in the given algebraic factor
x(a‐b), y(b-a) ​

Answers

Answer:

I think that the common factor in the given algebraic is a-b

Jan and Col club together a book of raffle tickets. They agree to share any prize they win in the ratio 2:3. When they win Jan gets £10 how much does Col get?

Answers

Answer:

£15

Step-by-step explanation:

For every £2 Jan gets, Cole gets £3.

10 ÷ 2 (Jan) × 3 (Cole) = 15

What is the multiplicative inverse of the number 5?
A. -1/5
B. 0
C. 1
D. 1/5

Answers

Answer:

1/5

Step-by-step explanation:

It's just the inverse of the number or 1 over the number you have

what is the relationship between corresponding terms in the two sequences 2 1 4 2 6 3 8 4 10 5

Answers

Answer:

what the answer

Step-by-step explanation:

Please help me asap if can!!!

Answers

Answer:

Step-by-step explanation:

2m in height : 11m in length

300m in length: 1650m in length

This is because you multiply each side by 150.

The horizontal length will be 1650m.

b) I'm so sorry. I'm in year 9 so I don't think I've learnt this. I think it might be tan. :)

x-y=1 solve by substitution

Answers

Answer:

2-1

Step-by-step explanation:

Which one is the right answer?

Answers

I believe it’s C hope this helps have a good day:)

Point s is between points R and T on RT. RS=7 and ST = 11. What is the length of RT?

Answers

Answer:

18

Step-by-step explanation:

Because you have to add 11 to 7 and the equals 18. I hope that helped! :)

Find the total surface area of this triangular prism.
10 cm
6 cm
4 cm
8 cm

Answers

Answer:

144cm^2

Step-by-step explanation:

0.5x8x6x2=48cm^2

8x4=32cm^2

10x4=40cm^2

6x4=24cm^2

=(48+32+40+24)cm^2

=144cm^2

True or false 49 is a irratinal number

Answers

Answer:

false

Step-by-step explanation:

49 is a rational no

brainliest pleazzzz......

A least squares regression line was calculated to relate the length​ (cm) of newborn boys to their weight in kg. The relationship between Length and Weight has an Rsquared of 58.6​%. Write a sentence​ (in context) summarizing what the Upper R squared says about this regression.

Answers

Answer:

58.6% of the variation in length (in cm) of new born boys and their weight (in kg) is explained by the line of best fit.

Step-by-step explanation:

Given the following :

R² value = 58.6% comparing the length (cm) of new born boys to their weight (kg)

The R² value is called the Coefficient of determination. It is obtained by taking the square of the correlation Coefficient (R). The value gives the proportion of Variation between the independent and dependent variables which is explained by regression line. In the scenario above, the R² value means that 58.6% of the variation in length in centimeter of new born boys and their weight (in kg) is explained by the line of best fit. While (100% - 58.6% = 41.4%) is due to other factors.

how do I solve for x here??
I just need help with finding x

Answers

Answer:

  x = 15

Step-by-step explanation:

The solution to any problem is found by making use of the relations you know between the parts of the problem. Here, values of x relate to the arc measures around a circle. The relation you know is the sum of the arcs around a circle is 360°. Using this relation, you can write the equation ...

  7x° +4x° +6x° +7x° = 360°

The equation can be solved for x by making use of the rules of algebra.

  24x = 360 . . . . . . . . . . . . . . divide by °, collect terms

  x = 15 . . . . . . . . . . . . . . . . divide by 24

Price is $20.00 Sales Tax is 4% What is the total cost?

Answers

Answer:

your answer is correct

Step-by-step explanation:

i don't know why i it didn't work

If the price of an item is $20.00 with a sales tax of 4%, the total cost of the item is $20.80.

How the total cost is determined using the sales tax:

The total cost involves adding the price and the sales tax amount.

We can compute the total cost by determining the sales tax factor using the sales tax rate as follows:

The price of the item = $20.00

Sales tax = 4% = 0.04 (4/100)

The sales tax factor = 1.04 (1 + 0.04)

Thus, the total cost, including the price and the sales tax, is $20.80 ($20 x 1.04).

Learn more about the total cost with the sales tax at https://brainly.com/question/19865488.

#SPJ2

Which of the numbers below could be terms in the sequence an=7n +4?
24
46
32
36

Answers

Answer:

46

Step-by-step explanation:

46 - 4 = 42

42/7 = 6

Answer:46 and 32 just did the quiz

Step-by-step explanation:

Akira sells 217 homemade candles. She charges $29 for each candle. How much money does Akira make on these candles in all?

Answers

1953 is the answer I think

Please help.

Find the area of each shape. Use 3.14 for π.

Answers

Answer:

square:48

triangle:16

circle:6.28

Step-by-step explanation:

square: b x h = base * height

triangle: 1/2 x bh = 1/2 x base x height

circle: 3.14 x r square = 3.14 x 4 x 1/2

4 because is radius square = 2 x 2 = 4

square: 48 circle: 6.28 triangle: 16

evaluate the following expression
(a+b)^0

Answers

ANSWER ISSSSSSSSSSS

1
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