PMark for Review 1 Harold spent the summer working at a diner. He now pays for a monthly subscription to a magazine. The equation y -35x + 180 can be used to represent this situation, where y is the amount of money Harold has remaining after x months of paying for his monthly magazine subscription. Which statement best describes the amount of money Harold has, given this equation? - A) Harold started with $35 and he spends $180 per month on his magazine subscription. B) Harold started with $180 and he gets paid $35 per month. C) Harold started with owed $180 for magazines and he continues to spends $35 per month on his magazine subscription. D) Harold started with $180 and he spends $35 per month on his magazine subscription.

Answer:

50 square ft

Step-by-step explanation:

An

2 pie/3

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

What is the lowest common multiple

6 = 2 * 3

8 = 2 * 2 * 2

LCM = 2 * 2 * 2 * 3

LCM = 24

So you just divide 6 and 8 into 24. The result will be the number of packages.

Cups: 24/6 = 4

Plates: 24/8 = 3

You need 4 packs of cups and 3 of plates

Answer:

Average rate of change = 4/3

Step-by-step explanation:

We have to calculate the average rate of change of the graph at x = 2 to x = 5.

From the graph attached,

At x = 2,

f(2) = 3

At x = 5,

f(5) = 7

Since, average rate of change of the function between x = a and x = b is defined by,

Average rate of change = f (b)-f (a) / b - a
                                         

Therefore, average rate of change of the function represented by the graph will be =7-3/5-2

          = 4/3

Answer:

120m^2

Step-by-step explanation:

8 x 12= 96

6 x 8= 48

48/2= 24

24+96= 120m^2

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer:

                                                  Elimination:

-4x - 2y = -18                            -4x - 2y   = -18

x + 3y   = 8        | ×4   ------>      4x + 12y = 32  +

                                                          10y = 14

                                                              y = 1,4

x + 3y = 8

x + 3(1,4) = 8

x + 4,2 = 8

x = 3,8

Answer:

43.7 x 0.25 is 10.925

Step-by-step explanation:

To multiply decimals, we can use the following steps:

1. Multiply the numbers as if they were whole numbers, ignoring the decimal points.

2. Count the total number of decimal places in the factors being multiplied. This will be the number of decimal places in the product.

3. Place the decimal point in the product so that it has the same number of decimal places as the total counted in step 2.

Using these steps, we can find the product of 43.7 and 0.25 as follows:

1. 437 x 25 = 10925

2. There are two decimal places in 43.7 and two decimal places in 0.25, so there are a total of four decimal places in the factors being multiplied.

3. Place the decimal point in the product so that it has four decimal places: 10.925

Therefore, the value of 43.7 x 0.25 is 10.925.

Answer:

Step-by-step explanation:

Freddie rate of mowing=3/2=1.5 lawns /hr.

Tom's rate of mowimg=2 lawns/hr

so Tom can mow Smith's lawn faster.

Answer:

perimeter of a rectangle = 2(l+b)

                         length    = 27 m

                         breadth = 16 m

   perimeter = 2( 27+16 )

                   = 2 * 43

            ∴ perimeter  = 86 m

hope this answer helps you.....

Answer:

86

Step-by-step explanation:

P= 2*W + 2*L

Therefore you get 86

Answer:

AB, AC, AD, BC, BD, CD

Hope this helps :)

Answer:

five line segment =AB,AC,AD,BC,BD,CD

The range of a function is the set of all possible outputs of the function. When a function is transformed, either vertically or horizontally, the range of the function is also affected.

When a function is transformed by moving it up or down, the minimum and maximum values of the range change, and the overall shape of the function is unchanged. If the function is moved up, the minimum value of the range increases, and the maximum value increases as well. On the other hand, if the function is moved down, the minimum value decreases and the maximum value decreases as well. In both cases, the distance between the minimum and maximum values remains the same.

When a function is transformed by moving it left or right, the shape of the function is changed, but the minimum and maximum values remain unchanged. If the function is moved left, the graph of the function will be compressed towards the vertical axis, making it narrower. On the other hand, if the function is moved right, the graph will be stretched out and become wider.

In both cases, the range remains unchanged, as the minimum and maximum values are determined by the shape of the function and not by its position. Moving the function horizontally does not affect the set of possible outputs, only the relationship between inputs and outputs.

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1. 76.56.

2. 96

3. The largest solution to the equation x²+16x+28=138 is 6.71.

4. The smallest solution to the equation x²+14x+14=145 is 5.96.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result (19/2)² = 76.56.

2. This is calculated by taking the coefficient of x (30) and dividing it by two (30/2) and then squaring the result (30/2)² = 96.

3. This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (16) plus or minus the square root of the coefficient of x squared (16²) minus 4 times the coefficient of the x term (4x16) minus the constant (28) divided by 2 times the coefficient of the x term (2x16).

4.  This is calculated by using the quadratic formula, by taking the opposite of the coefficient of x (14) plus or minus the square root of the coefficient of x squared (14²) minus 4 times the coefficient of the x term (4x14) minus the constant (14) divided by 2 times the coefficient of the x term (2x14).

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1.  For the given equation, c need to be 90.25 to complete the square.

2. 225

3. The largest solution to the equation x²+16x+28=138 is 6.

4. The smallest solution to the equation x²+14x+14=145 is -14.

Equations are used to express relationships between variables and solve mathematical problems.

1. This is calculated by taking the coefficient of x (19) and dividing it by two (19/2) and then squaring the result

(19/2)² = 90.25.

2. This is calculated by taking the coefficient of x (30) and dividing it by two which is (30/2) and then squaring the result

(30/2)² = 225.

3. The largest solution to the equation x²+16x+28=138 is 6.

This can be calculated by using the quadratic formula to solve the equation.

(a=1, b=16, c=28)

x = -8 ± √((16)² - 4(1)(28))/2(1).

x = -8 ± √(240)/2

x = 6 or -14.

Since 6 is the larger solution, it is the largest solution to the equation.

4.  The smallest solution for x2+14x+14=145 can be determined by using the Quadratic Formula.

a=1, b=14, and c=14

x = [-14 ± √(142-4(1)(14))]/(2(1))

x = [-14 ± √(196)]/2

x = [-28/2] or [14/2]

x = -14 or 7

Therefore, the smallest solution for x2+14x+14=145 is x=-14.

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Answer: $0.45

I switched schools from normal to online did this twice and got it right so it is C 0.45

The value of c, the amount paid for each lemon, when the both the girls made the same amount of profit is $0.30.

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Two girls each opened their own lemonade stand.  They paid the same amount, c, for each lemon, but they collected different amounts of money from customers.

The expressions in the table can be used to calculate the profit each girl made.

The profit made by the first girl is,

\(80.25-87c\)

The profit made by the second girl is,

\(73.35 - 64c\)

Here, (c), is the amount paid for each lemon.

As, both the girls made the same amount of profit. Thus the above two expression should be equal as,

\(80.25-87c=73.35 - 64c\\87c-64c=80.25-73.35\\23c=6.9\\c=\dfrac{6.9}{23}\\c=0.3\)

Hence, the value of c, the amount paid for each lemon, when the both the girls made the same amount of profit is $0.30.

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Answer:

I think it's all the options but I cant confirm.

Step-by-step explanation:

adjacent angles are angles that:

- have the same vertex

- share one side

Answer:

So in 8 hours he will set 8 more diamonds.

Step-by-step explanation:

Jeweler A can set in 60 minute (1 hour) 60/20=3 diamonds.

Jeweler B can set 60/15=4 diamonds.

Jeweler B sets 1 more diamond than A in one hour.

So in 8 hours he will set 8 more diamonds.

Answer:

Step-by-step explanation:

The claim: "Less than 40% of college students graduate with student loan debt."

The null hypothesis: more than 40% of college students graduate with student loan debt." p >= 40%

If the actual percentage of college graduates with student loan debt is 45%. The researcher was supposed to fail to reject the null but since he rejected it when it was actually true, it is a type I error.

A type I error occurs when the research rejects the null when it is actually true.

Answer:

Given the information you provided, we can model cellular phone usage over time with an exponential growth model. An exponential growth model follows the equation:

`y = a * b^(x - h) + k`

where:

- `y` is the quantity you're interested in (cell phone usage),

- `a` is the initial quantity (34 million in 1995),

- `b` is the growth factor (1.22, representing 22% growth per year),

- `x` is the time (the year),

- `h` is the time at which the initial quantity `a` is given (1995), and

- `k` is the vertical shift of the graph (0 in this case, as we're assuming growth starts from the initial quantity).

So, our specific model becomes:

`y = 34 * 1.22^(x - 1995)`

To find the cellular usage in 2003, we plug 2003 in for x:

`y = 34 * 1.22^(2003 - 1995)`

Calculating this out will give us the cellular usage in 2003.

Let's calculate this:

`y = 34 * 1.22^(2003 - 1995)`

So,

`y = 34 * 1.22^8`

Calculating the above expression gives us:

`y ≈ 97.97` million.

So, the cellular phone usage in 2003, according to this model, is approximately 98 million.

Given:

MQ bisects PN.

In the given proof reason for step 3) represents the verticle angles.

From the diagram,

Answer: option a)

The probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001

In a series of 36 trials, if the subject is guessing randomly, then the probability of correctly guessing odd or even is 1/2.

Let X be the number of correct guesses in a series of 36 trials. X follows a binomial distribution with parameters n = 36 and p = 1/2.

The probability of guessing more than 20 correct is:

P(X > 20) = 1 - P(X ≤ 20)

Using a binomial distribution table, we can find that P(X ≤ 20) = 0.9999 (rounded to four decimal places).

Therefore: P(X > 20) = 1 - 0.9999 = 0.0001

So the probability that a subject would guess more than 20 correct in a series of 36 trials is 0.0001 (rounded to four decimal places).

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Answer:

It must gather every 12 hours or 12*60=720 minutes. 3 minutes are gained every hour, so it needs exactly 10 days(240 hours) ... correct time will show Tuesday, at 6 PM, to be exact.

The volume of the given three dimensional figure is 14352 cubic inches.

From the given three dimensional figure, dimensions in rectangular prism are Length = 23 inches, Breadth = 16 inches and Height = 18 inches.

So, volume of rectangular prism = Length×Breadth×Height

= 23×16×18

= 6624 cubic inches

Volume of triangular prism = Area of base × Height

= (23×16) × Height

= 368 × Height

= 368 × 21

= 7728 cubic inches

Total volume = 6624 + 7728

= 14352 cubic inches

Therefore, the volume of the given three dimensional figure is 14352 cubic inches.

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Answer: The face value of 4 is 4 or four

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Probability = Favorable Outcomes / Total Outcomes

There are 3 even numbers and e odd numbers.

P(Even Number) = 3/6 = 1/2

P(Odd Number) = 3/6 = 1/2

Probability it lands twice on an even number and once on an odd number = 1/2 * 1/2 * 1/2 = 1/8

What we must remember here is that the question does not say that the first 2 rolls are even and the 3rd roll is odd.

We must find the number of ways of getting Even, Odd Combinations which are 3!/2! = 3 (EEO, EOE, OEE)

The Required probability = 3 * 1/8 = 3/8

Answer:

d = 103

e = 22

f = 55

Step-by-step explanation:

Answer: d= 103 e= 22 f=55  

Step-by-step explanation: (103-degree angles and d) (f and unknown angle) (e and 22 angle) are all vertical angles meaning they are congruent.

e=22 + 103 + angle f= 180 so 103+22= 125    180-125= 55 f=55

The difference between 126 1/4 and 78 7/12 is 143/3 or 47 2/3.

To find the difference between the numbers simplify means;

to subtract 78 7/12 from 126 1/4 .

126 1/4 - 78 7/12

First, convert the mixed fractions into improper fractions.

( 126 × 4 + 1 )/4 - ( 78 × 12 + 7) /12

505/4 - 943/12

Multiply first term by 3/3 which is the same as 1.

( 505/4 × 3/3 ) - 943/12

1515/12 - 943/12

( 1515 - 943) / 12

572 / 12

143/3 or 47 2/3.

Therefore, the difference is 143/3 or 47 2/3.

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Answer:

D

DDDDDDDDDDDDDDDDDDDDDDDDDDDD

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3