The histogram shows the number of hours volunteers worked one week.

What percent of the volunteers worked fewer than 12 hours

Answer:

Step-by-step explanation:

Let x equal number of weeks and y equal money in the bank.

Nancy, y=425+25x

Sam, y=705-15x

The system of equations:

Nancy:   [tex]y=\$425+\$25x[/tex]

Sam :   [tex]y=\$705-\$15x[/tex]

Given:

Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Amount in Sam's bank = $705

Amount spend by Sam each week = $15

To find:

The system of equations describing the given models.

Solution

1) Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Let the number of weeks Nancy saving her money be 'x'.

Let the total amount of money in Nancy's bank after x weeks be 'y'.

[tex]y=\$425+\$25\times x\\y=\$425+\$25x[/tex]

The equation for Nancy:

[tex]y=\$425+\$25x[/tex]

2)

Amount in Sam's bank = $705

Amount spend by Sam each week = $15

Let the number of weeks Sam spending his money be 'x'

Let the total amount of money left in Sam's bank after x weeks ='y'

[tex]y=\$705-\$15\times x\\y=\$705-\$15x[/tex]

The equation for Sam:

[tex]y=\$705-\$15x[/tex]

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Answer:

64

Step-by-step explanation:

Hope this helps! :)

Answer:

64 is correct hope it helped have a good day mate

Answer:

$240

Step-by-step explanation:

I = prt

I = (2,400) (0.04) (2.5)  

note: I changed 4% to a decimal and 30 months to 2.5 years

I = 96 (2.5)

I = 240   <-- The interest

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The simple interest accumulated on a principal of $ 2,400.00  at a rate of 4% per year for 2.5 years (30 months) is $240.00.

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* Last time I did interest was in 6th grade and I don't remember much. So I am very sorry if my answer is wrong *

Answer:

4

Step-by-step explanation:

4/6 x 6 can be thought of as 4/6 x 6/1.

When multiplying two fractions, multiply the numerator (top number) with the numerator and the denominator (bottom number) with the denominator.

So we have: (4x6) / (6x1)

Which can be simplified to: 24/6, or 4.

Let  me know if this helps!

Answer:

Third option is the correct answer

Step-by-step explanation:

Point T is between the point R and point S.

Answer:

It's log 420

Step-by-step explanation:

Answer:

56 degrees

Step-by-step explanation:

Answer:

for every x the y moves -4

Step-by-step explanation:

Answer:

D. 13.9

Step-by-step explanation:

Find the missing side

[tex]sin(60)= \frac{x}{16}[/tex]

x = 16 × [tex]sin(60)[/tex]

x = 13.9

It is sin because its opposite over hypotenuse

9

Step-by-step explanation:

I believe its 9 because he borrowed $15 on Monday and then he did $12 more on Tuesday and thats already $27 that he owes his friend but then Franco pays his friend back $18 and he will just owe him $9 left

Answer:

Step-by-step explanation:

y in (-oo:+oo)

(1/3)*y = 15 // - 15

(1/3)*y-15 = 0

1/3*y-15 = 0 // + 15

1/3*y = 15 // : 1/3

y = 15/1/3

y = 45

y = 45

Answer: The answer is five

Step-by-step explanation: This is because if the equasion is 1/3 x y and y=15 than the equasion is 1/3 x 15 or 1/3 x 15/1 which is 5

The two numbers that multiply to -24 and add to -5 are 3 and -8

From the question, we have the following parameters that can be used in our computation:

Product = -24

Sum = -5

Let the numbers be x and y

So, we have

xy = -24

x + y = -5

Let x be 3 and y be -8

So, we have

3 * -8 = -24

3 - 8 = 5

The above equations are true

Hence, the numbers are 3 and -8

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Answer:

I belive it would be A

Step-by-step explanation:

The equivalent of 64/4 is 16

The expression is given as:

64/4

Evaluate the quotient of 64 and 4 i.e. divide 64 by 4

64/4 = 16

Hence, the equivalent of 64/4 is 16

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Answer:

y=1.5x+2

Step-by-step explanation:

y-y1=m(x-x1)

y-5=1.5(x-2)

y=1.5x-3+5

y=1.5x+2

Answer:

B

Step-by-step explanation:

The value of the polynomial for x = 3 is the value of P(3)

P(3) = 2(3)³ - 7(3)² + 7(3) - 12 = 54 - 63 + 21 - 12 = 0 → B

Answer:

6710.46x

Step-by-step explanation:

The solution is : the value of x is x = 9.75.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

You need to convert from mixed number to decimal number. To do this you can follow the steps shown below:

Step 1: You must divide the numerator of the fraction by the denominator of the fraction.

Step 2: Now you must add the quotient obtained to the Whole number part.

So, you get:

3 + 1/4

=3 + 0.25

= 3.25

Then, the scale image that maps "Figure a" onto "Figure b" is:

1: 3.25

Finally, in order to find the value of "x", you need to multiply the given length of the corresponding side of "Figure a" by .

Therefore, you get that the result is:

x = 3 * 3.25

or, x = 9.75

Hence, The solution is : the value of x is x = 9.75.

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Answer:

Part a: 2.5

Part b: The rate the oil fills the tank

Part c: The amount of liquid in the tank to begin with.

Hope this helps. :)

As per the graph that shows the volume of oil in tank T sec.

The given graph describes the volume of the oil in L and shows the value in t seconds. The gradient of the graph is about 2.5 and it shows us the amount of liquid in the tank. The value of the graph that intersects at the L 2 is the amount of liquid found in the tank.

Find out more information about the graph.

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Answer:

7

Step-by-step explanation:

[tex]Slope=\frac{dy}{dx}= \frac{200-172}{28-24}=7[/tex]

Answer:

A (13 units)

and E (the one you chose)

Step-by-step explanation:

The function f(x) will be sometimes positive and sometimes negative on the interval

Option (3) is correct.

An arrangement known as a function connects inputs to essentially one output.

In other words, a function is a relationship between variables, and the nature of that relationship—for example, y = sinx and y = x +6—defines the function.

Given function:

f(x) = (x - 5) (2x - 7) (7x - 3)

The term (x - 5) will be negative if x < 5.

The term (2x - 7) will be negative if x<3.5

So, If x = 4, (x - 5) will be negative but (2x - 7) will be positive, resulting in a negative overall value.

Therefore, if x = 3, then (x - 5) will be negative, as well as (2x - 7), making the whole value negative.

Hence, the function f is sometimes positive and sometimes negative on the interval.

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Answer: (0,-7)

HOPE I HELPED

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

Since you are trying to solve for y, you set all the x values to 0.

(Y intercept occurs when x = 0, thats why you sub 0 for all x)

y= -4(0)^2[tex]y=-4(0)^{2} +5(0) -7[/tex]

this simplifies to

y=-7

Answer:

Lots of "ifs" here.

A=bh/2 is the formula for the area of a triangle.

A=bh is the formula for the area of a rectangle or a parallelogram.

If the 6 & 4 area the base & height of a rectangle, then (6)(4) = 24 in^2

If the 6 & 10 are the base and height of a triangle, then 1/2(6)(10) = 30 in^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

first pic

Statement.                     Reasons

1. AC is congruent to     1.Given

  HF

2.BC is congruent to.     2. Given

FE

3. Measure angle ACB.   3. Right angles are congruent

is congruent to Measure

angle HFE

4. Triangle ABC is

congruent to Triangle HEF 4. SAS, side angle side

second pic

statement.                          reason

1.Angle K is congruent       1. Given

to angle M

2.KL equals ML.                  2. Given

3.Measure angle KLJ.         3.Vertical angles are congruent

is congruent to Measure

angle MLP

4Triangle JKL is congruent.  4. ASA, angle side angle

to triangle PML

third pic

statement.                    reason

1. Already stated.          1. Already stated

2 PT congruent to RS.   2. Given

3. Angle PQT congruent 3. Verticle angles are congruent

to Angle RQS

4. trianlge PQT is congruent to Triangle RQS.  4. ASA, angle side angle

( hope this helps! )

the first picture is the answer

for number 1, if you look in the upper left hand corner, you will have the answer for the first statement

Answer:a

Step-by-step explanation:

a because I just took the test

Answer:

your answer is d. $21.85

Answer:

 ( x y -6)²  =  x² y² - 12 xy + 36            

Step-by-step explanation:

Explanation:-

Given that the expression ( x y -6)²

Apply formula (a-b)² = a² -2ab + b²

( x y -6)² = (xy)² - 2 × xy× 6 + (6)²

             = x² y² - 12 xy + 36

( x y -6)²  =  x² y² - 12 xy + 36            

Answer:

xy^36

Step-by-step explanation:

Answer:

5/x subscript 2

Step-by-step explanation: