Luke opened a savings account with a balance of $0.00 and deposited $20.00. During the next 2 weeks, he made two more deposits for $15.00 and $35.00. At the end of the month, he made a withdrawal that brought his balance back to $0.00. Assuming no interest was earned, how much money did Luke withdraw from his savings account?

Answer:

Get a tissue blow your nose and wipe your tears

Step-by-step explanation:

Tell Mommy

Answer:

See below and learn

Step-by-step explanation:

To solve the figure. You need to split the shape up with the lines shown.

Let's solve the top triangle first.

The formula to find the area of a triangle is y = 1/2(b*h)

So the base is 2+2+6 which equals 10. And the height is 4.

So y = 1/2(4*10)

PEMDAS solve parentheses first.

y = 1/2(40)

y = [tex]20cm^{2}[/tex]

Now solve the bottom left one.

y = 1/2(2*2)

y = 1/2(4)

y = [tex]2cm^{2}[/tex]

Now the bottom right triangle.

y = 1/2(6*2)

y = 1/2(12)

y = [tex]6cm^{2}[/tex]

And to solve area of a square is

y = b*h

y = 2*2

y = [tex]4cm^{2}[/tex]

And add all of it up to get

y = [tex]20cm^{2}+2cm^{2} +6cm^{2} +4cm^{2} = 32cm^{2}[/tex]

Area = [tex]32cm^{2}[/tex]

Answer:

You need to divide 64 by 12/45. Whenever you divide fractions you keep the first number as it is, change the sign to multiplication and write the reciprocal of the second fraction which is you have to flip the fraction. It is going to be 64 times 45/12. Which is 240/1 which is 240.

Step-by-step explanation:

Using simple algebra, it is found that Amanda will be able to cut 20 pieces of [tex]12\frac{4}{5}[/tex] inches length.

Algebra is the branch of mathematics that deals with mathematical operations and symbols operating on numbers, variables and expressions

Let Amanda cut total x pieces

Given that length of each piece =[tex]12\frac{4}{5}[/tex] inches = 64/5 inches

Total length cut for all the pieces can be found by multiplying the number of  pieces with length of each piece

∴ Total length cut for x pieces = x × 64/5 =  64/5 x

Given that Amanda has 4 boards for cutting

Length of each board = 64 inches

Total length offered by 4 fours boards for cutting is calculated by  multiplying length of each board by 4 .

Total length offered for cutting by 4 boards = 4 × 64  = 256 inches

Therefore,

Total length cut for x pieces = Total length offered for cutting by 4 boards

⇒ 64/5 x = 256

⇒ x = 256/(64/5) = (256×5)/64 = 4×5 = 20

Therefore, There will be 20 pieces cut from all four boards .

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Answer:

I think it's 6

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Answer:

6

Step-by-step explanation:

[tex]\frac{1}{3}[/tex] of 12 = [tex]\frac{12}{3}[/tex] = 4

let the number required be n , then

[tex]\frac{2}{3}[/tex] n = 4 ( multiply both sides by 3 to clear the fraction

2n = 12 ( divide both sides by 2 )

n = 6

Thus

[tex]\frac{1}{3}[/tex] of 12 = [tex]\frac{2}{3}[/tex] of 6

Step-by-step explanation:

Sum of −8.46 and 5.31 means we need to add −8.46+5.31.

We know that,

|-8.46| > |5.31|

It means we subtract 8.46 - 5.31

At hundredth place, 6-1 = 5

At tenths place, 4-3 = 1

At ones place, 8-5 = 3

It would mean that, 8.46 - 5.31 = 3.15

8.46 has a negative sign. It means that the final answer will have negative sign i.e. −8.46+5.31 = -3.15

Hence, the correct option is (a) " Because |−8.46|>|5.31|, subtract |5.31| from |−8.46| and the sign is negative".

Answer with step-by-step explanation:

C: 3

This is because 6 3/5 is a positive number, and 6 3/5 ÷ 2 1/5 = 3

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Answer:

1

Step-by-step explanation:

y2-y1= m     0-5= -5 = 1

x2-x1           4-9    -5

Answer:

The domain is time (t) and the range is distance (d).

Step-by-step explanation:

I TOOK THE Test

The time (t) is the domain and range is distance (d)

The word domain refers to a set of possible input values, on the other hand range refers to the set of possible output value.

Allow x to be an independent variable in the function y is equal to fx, and y is a reliant variable. A value for x is said to be in the domain of a function f if it successfully allows the production of a numerical result y using another value for x.

A train travels at 75 miles per hour.

An equation can be written that compares the time (t) with the distance

here, time (t) is independent value and distance (d) is dependent value which is dependent on time (t).

The domain is time (t) and the range is distance (d).

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Answer:

A=22.75cm²

Step-by-step explanation:

A=LW

A=6.5x3.5

A=22.75cm²

Answer:

Number of hamburgers bought = 4

Number of hotdogs bought = 9

Step-by-step explanation:

Let

Number of hamburgers bought = n

Number of hotdogs bought = n + 5

Hamburgers cost = $6.25

Hotdogs cost = $3.75

Total cost = $58.75

6.25n + 3.75(n + 5) = 58.75

Open parenthesis

6.25n + 3.75n + 18.75 = 58.75

Collect like terms

6.25n + 3.75n = 58.75 - 18.75

10n = 40

Divide both sides by 10

n = 40 / 10

= 4

n = 4

Number of hamburgers bought = n = 4

Number of hotdogs bought = n + 5

= 4 + 5

= 9

Answer: [tex]25+6m > 70[/tex]

Step-by-step explanation:

Let m = Number of months

Combined charges for music sharing service = 25+6m

Cost of joining to company = $70

According to the question,

Combined charges > Cost of joining to company  (To find number of months it would take for this)

[tex]25+6m > 70[/tex] (required inequality)

Answer:

Step-by-step explanation:

Y)  [tex]\frac{x+4}{8}[/tex] = 3

*multiply both sides by 8 - cancels out 8 in denominator*

x + 4 = 24

*subtract 4 from both sides*

x = 20

E) [tex]\frac{x-5}{2}[/tex] = 1

*multiply both sides by 2 - cancels out 2 in denominator*

x - 5 = 2

*add 5 on both sides*

x = 7

N) [tex]\frac{x+2}{4}[/tex] = 2

* multiply both sides by 4 - cancels out 4 in denominator*

x + 2 = 8

*subtract 2 from both sides*

x = 6

Given :

Marcus is a recent college graduate. He has $18,000 in student loans. He took out a loan to buy a car and owes $16,000. The car is now worth $14,000. He got his first paycheck and has $1400 in his checking account.

To Find :

Marcus's net worth.

Solution :

We know, net worth is given by :

Net worth = $( Total amount owns - Total loan )

Net worth = $( 16000+1400) - ( 18000+14000)

Net worth = $(17400 - 32000)

Net worth = $-14600

Therefore, Marcus' net worth is $-14600 ( He is in a loan of $14600).

Hence, this is the required solution.

Answer:

15 baskets

Step-by-step explanation:

This question is a GCF question

The first step would be to find the factors of 45, 75 and 90

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 75 are: 1, 3, 5, 15, 25, 75

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The greatest common factor is 15.

Therefore, the greatest number of baskets they can make if each basket has the same number of pears, the same number of peaches, and same number of apples, with no fruit leftover is 15 baskets

[tex]f(x) = \frac{10}{9}x + 11 \\ [/tex]

So :

[tex]y = \frac{10}{9}x + 11 \\ [/tex]

Subtract the sides of the equation minus 11

[tex]y - 11 = \frac{10}{9}x \\ [/tex]

Multiply the sides of the equation by 9

[tex]9(y - 11) = 10x[/tex]

[tex]9y - 99 = 10x[/tex]

Divided the sides of the equation by 10

[tex] \frac{9y - 99}{10} = x \\ [/tex]

So :

[tex] {f}^{ - 1}(x) = \frac{9x - 99}{10} \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

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Answer:

Y=-x-4

Step-by-step explanation:

I would really appreciate if you also marked me as brainliest

Answer:

y = -x - 4

Step-by-step explanation:

Looking at this graph straight off the bat we see the line is going downwards from left to right which is an indication of a negative slope. The slope is 1 considering the line's rise/run (2 units/2 units down on the graph). Thus, we know our slope is 2/2 = 1. Thus, our slope would appear as -(1)x or -x in the equation.

Next, we need to identify where the line crosses the y-axis to identify our y-axis point. Tracing the line, we see that it comes into contact with the vertical y-axis at -4 (4 units South on the y-axis).

Putting these both together we see the equation of the line is y = -x - 4.

Answer:

Step-by-step explanation:

I have some sympathy for the way the questions have been set up and numbered.

The givens are that the two lines that look like they are perpendicular, are perpendicular.

<JKP = 67                    Given

<PKL = 180 - 67          < PKL is supplementary to <JKP

<PKL = 113

<PKM = 113 - 90 = 23

Here's what you want to know. <NKO = PKM because they are vertically opposite angles.

Therefore NKO = 23 degrees.

JL is perpendicular to MN, then

m ∠NKO= 23°

Given :

JL is perpendicular to MN and the m∠JKP= 67°

we need to find out m∠NKO

we know that JL is perpendicular to MN.  so, <JKN makes an right angle .

m ∠JKN = 90°

PO is a straight line . It makes an angle 180 degree

m ∠JKP +m ∠JKN +m ∠NKO =180

[tex]67+90+m<NKO=180\\m<NKO=180-90-67\\m<NKO=23[/tex]

m ∠NKO= 23°

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Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given function

And a graph. We can see it is

A. The function that is represented by the equation has a steeper slope and a greater y-intercept.

B. The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.

C. The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.

D. The function that is represented by the graph has a steeper slope and a greater y-intercept.

Answer:

5

Step-by-step explanation:

The formula for the hypotenuse of a triangle is:

[a squared] plus [b squared] = c squared

a and b represent the two sides of the triangle.

You would have to square 8 and 4, add them, then take the square root of it to find the length of the hypotenuse.

Answer:coefficient of x term is 8

Step-by-step explanation:I(2x-5)(x2-3x2+4)

                                             (2x-5)(-2x2+4)

                                             -4x3+8x+10x2-20

                                        coefficient of x is 8

Answer:

22 games

Step-by-step explanation:

In order to find the minimum number of games that Enzo played we need to find the least common multiple of tickets where both Enzo and Beatrice are equal. To do this we simply find all the multiples of the number of games each could have played by the number of tickets per game until we find one in common.

5*1 = 5                   11*1 = 11

5*2 = 10                 11*2 = 22

5*3 = 15                  11*3 = 33

5*4 = 20                 11*4 = 44

5*5 = 25                 11*5 = 55

...                             ...

...                             ...

...                             ...

5*22 = 110               11*10 = 110

Finally, we can see that the minimum amount of games that Enzo needs to play in order for both Enzo and Beatrice to have the same amount of tickets is 22 games.

Answer: 57.5

Step-by-step explanation:

To solve this problem, you need to multiply the number of cups of flour per cup of milk times 5.

Step 1: Find how many cups of flour per cup of milk.

23/2 = 11.5 cups of flour per cup of milk

Step 2: Multiply the cups of flour per cup of milk, times the 5 cups of milk.

11.5 * 5 = 57.5 total cups of flour

Answer:

c

Step-by-step explanation:

there's only one negative in the whole equation making it all negative. if there were two negatives it would become a positive

Answer:

Is there a table I can see if I'll be able to help

Answer:

Oliver’s table indicates that for every increase of 2 strides, the distance he travels increases by 7 feet. So, the change in distance divided by the change in stride gives the unit rate.

Step-by-step explanation:

Answer: 4900

Step-by-step explanation:

Answer with step-by-step explanation:

The graph passes through both (1,4) and (2,0)

Thus it's slope is the difference of ordinates over difference of abscissae or -4

Thus the equation becomes y = -4x + b

This b is the required b

At x=2 ; y=0

Thus 0= -8 + b

b=8