A college student needs 15 classes that are worth a total of 40 credits in order to complete her degree. The college offers both 3-credit classes and 2-credit classes. How many 2-credit classes and 3-credit classes can the student take?

Answer:

x = 3/2 + root(3)/2  or  x = 3/2 - root(3)/2

In vertex form the equation is  y = (x - 3/2)^2 + 3/4

Step-by-step explanation:

y = x^2 - 3x + 3

y = x^2  - 3x  + 9/4  - 9/4 + 3

y = (x - 3/2)^2  + 3/4

I think you want to find the roots to the equation, right?

so  

y = (x - 3/2)^2  + 3/4 = 0

(x - 3/2)^2 = -3/4

x - 3/2 =  root(-3/4)

x = 3/2 + root(3)/2  or  x = 3/2 - root(3)/2

Answer:

4 gallons

Step-by-step explanation:

First find the area of the deck

A = l*w

    42 * 28 =1176 ft^2

Divide the area by 350 ft^2 per gallon

1176/350 =3.36

We need to buy full gallons so we round up

4 gallons

The total cost of an order of n concert tickets, with each ticket costing $35 and a fixed processing charge of $15, is represented by the expression 35n + 15.

To represent the total cost of an order of n number of tickets, we need to account for the cost of each ticket as well as the processing charge that applies to the entire order. The cost of one ticket is $35, and thus for n tickets, the total cost for the tickets alone would be 35n dollars. Since the processing charge is a fixed amount per order, not dependent on the number of tickets, we add the flat fee of $15 to the cost of the tickets. Therefore, the expression for the total cost of the order is 35n + 15.

Answer:

5  2/9

Step-by-step explanation:

Answer: 5 and 2/9

Step-by-step explanation: Since 9 goes into 47 five times with a remainder of 2, 47/9 is equal to the mixed number 5 and 2/9.

The distance from the center of dilation to the midpoint of B'C' is 4 times the original distance from the center to the midpoint of BC, given the dilation scale factor is 4.

To find the distance from the center of dilation to the midpoint of B'C', we use the properties of dilations in geometry. Since triangle ABC is dilated with a scale factor of 4, every length in triangle ABC is multiplied by 4 to get the corresponding length in triangle A'B'C'. If the original distance from the center of dilation (the origin) to the midpoint of BC was 'x', then after the dilation, the distance from the center (the origin) to the midpoint of B'C' is 4x. If the original distance x is known, we calculate the dilated distance by multiplying x by the scale factor of 4.

Answer:

Step-by-step

Two Small End squares

Square area = s^2

s = 3

s^2 = 9

But there are 2 of them so the total area = 2 * 9 = 18

Two Middle Triangles.

The height of each triangle = 7 - 3 = 4

The height of each triangle =  4/2 = 2

Each triangle has a height of 2

The length of each triangle = 5 + 5 = 10

Area of one triangle = 1/2 * 2 * 10 = 10

Area of both triangles = 20

Area of Left over rectangle.

Area = L*W

Area = 10 * 3

Area = 30

Total Area

30

20

18

68  is the total area.

Which I think is A. I really can't read the choices well

Answer:

68 In²

Step-by-step explanation:

Because it is the "Correct Answer"

Answer:

x=10.7

Step-by-step explanation:

Our proportion is

x/4=8/3

We can cross multiply to solve.

This is where you multiply one fraction's numerator with the other fraction's denominator and vice versa.

x*3=4*8

3x=32

Divide both sides by 3.

x=10.6666666667

Round.

x=10.7

Answer:

10 2/3

Step-by-step explanation:

Make each fraction have the same denominator, which is gonna be 12, then you get 32/12 = 3x/12. So you divide 32 by 3x, which leaves you with x=10 2/3.

Answer: -17.5

Step-by-step explanation:Use this rule:

1. -a-b=-(a+b)−a−b=−(a+b).

-(12.5+4.8)−(12.5+4.8)

2.Use the algorithm method.

1  

1 2 . 5

+  4 . 8

1 7 . 3

3.After simplification, we have:

-(12.5+4.8)=-17.3−(12.5+4.8)=−17.3

4. Therefore, -12.5-4.8=-17.3−12.5−4.8=−17.3.

-17.3−17.3

Answer:

a

Step-by-step explanation:

i got it right!

Answer:

A

Step-by-step explanation: i got it right on edg-enuity

Answer:

6q +2

Step-by-step explanation:

4q+3+2q-1

Combine like terms

4q+2q + 3-1

6q +2

Answer:

4q+3+2q−1

The like terms are 4q & 2q as well as 3 & -1

Add them together: 4q + 2q = 6q

And: 3 + (-1) = 2

The simplified expression is 6q+2

Answer:

2 > x

Step-by-step explanation:

-2x + 6 > 3x - 4

Add 2x to each side

-2x+2x + 6 > 3x+2x - 4

6 > 5x-4

Add 4 to each side

6+4 > 5x-4+4

10 >5x

Divide each side by 5

10/5 > 5x/5

2 > x

Answer:

x < 2

Step-by-step explanation:

-2x + 6 > 3x - 4

6 + 4 > 3x + 2x

10 > 5x

2 > x

x < 2

Answer:

3.14

Step-by-step explanation:

Answer:

It's app. 50.24

Step-by-step explanation:

The area of a circle is A = pi * r ^2

So the area is

= pi * 16

in the question it says to use 3.14 for pi instead

so multiply 16 * 3.14 = 50.24

Answer:

50.24 square miles

Step-by-step explanation:

The formula for the area of a circle is A=[tex]\pi r^{2}[/tex]

Plug in 3.14 for pi and 4 for r

when you square the 4, you get 16

16 x 3.14 is 50.24

Answer:

1/5

Sorry that there isn't really an explanation

Answer:

Area of shaded region/area of square = [tex]\pi[/tex]/8

[tex]\frac{50\pi cm^2 }{400 cm^2} = \frac{1}{8}[/tex]

Area of the semi-circle: 50[tex]\pi[/tex] cm^2

Step-by-step explanation: The problem asked us to prove that the area of the shaded region within the diagram divided by the area of the square equals 1/8. An image will be provided down below for visual representation.

First, we must figure out the area of the shaded region. We do this by finding the area of the semi-circle inside the arc circle that goes A to C.

Area of a semi-circle (diameter): [tex]A = \frac{\pi * d^2}{8}[/tex]

[tex]A = \frac{\pi *(20)^2}{8}[/tex]

[tex]A = 50\pi cm^2[/tex]

Now to find the area of the shaded region, we must subtract the area of the semi-circle from the area that covers the arc circle AB.

In the diagram, we can see that the arc circle within the square looks like a quarter circle. We need to manipulate the equation to highlight this.

Area of a semi-circle (radius) divided by 4  = [tex]A = \frac{\pi *r^2}{4}[/tex]

[tex]A = \frac{\pi *20^2}{4} \\A = 100\pi\\A = 100\pi - 50\pi \\A = 50\pi cm^2[/tex]

Area of a square = [tex]A = s^2[/tex]

[tex]A = (20)^2[/tex]

A = 400 cm^2

Now we take these two solutions to see if it equal [tex]\frac{\pi }{8}[/tex].

[tex]\frac{50\pi }{400} \\\frac{50*\pi }{50*8} = \frac{\pi }{8}[/tex]

That is how we get to our final answer: [tex]\frac{\pi }{8}[/tex]

Answer:

d ≤ 95

Step-by-step explanation:

The inequality that states we have at most 95 days is d≤ 95.

A connection between two expressions or values that is not equal to one another is referred to as "inequality" in mathematics.

The inequality can be resolved by adding the same amount to each side, subtracting the same amount from each side, multiplying or dividing each side by the same positive integer, and more. If you multiply or divide either side by a negative value, you must flip the inequality sign.

If d represents how many days are left in school this year.

And we have at most 95 days.

Then,

d can not be more than 95.

d ≤ 95

Therefore, the inequality is d ≤ 95.

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I believe the answer is B but im not sure

Answer:

the answer is A

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

7(4p +2q +3r)= 7*4p + 7*2q + 7*3r

                     = 28p + 14q + 21r

Answer:

28p + 14q + 21r

Step-by-step explanation:

There you go hope that helps

Answer:

502.655

Step-by-step explanation:

I'm not entirely sure this is right but it's what i got.

Answer

The student ate 72ounces of fruit snacks

Explanation

If there are 20packs of fruit snacks in a box and each pack weighs 6 ounces, the total weight of 20packs will be 20×6 = 120ounces

If there are 48 ounces of fruit snacks left in the box after student has eaten some, the amount of ounces of fruit eaten by the student will be:

Total number of ounces of 20packs - weight of left over snacks

= 120-48

= 72ounces

The students ate 72 ounces of fruit snacks.

First, we need to calculate the total weight of the fruit snacks when the box is full. Since there are 20 packs in a box and each pack weighs 6 ounces, the total weight of a full box is:

[tex]\[ 20 \text{ packs} \times 6 \text{ ounces/pack} = 120 \text{ ounces} \][/tex]

Next, we are given that there are 48 ounces of fruit snacks left in the box after the students have eaten some. To find out how many ounces were eaten, we subtract the remaining weight from the total weight of a full box:

[tex]\[ 120 \text{ ounces} - 48 \text{ ounces} = 72 \text{ ounces} \][/tex]

Therefore, the students ate 72 ounces of fruit snacks.

The students ate 72 ounces of fruit snacks.

The ratio 18 ounces to 3 cups is equivalent to 18 ounces to 24 ounces. This is expressed as the fraction 18/24, which simplifies to 3/4 when you divide the numerator and denominator by their greatest common divisor (6).

To express the ratio 18 ounces to 3 cups as a fraction in simplest form, we first need to convert the cups to ounces using the provided conversion factor (1 cup = 8 ounces). Therefore, 3 cups is 3 * 8 = 24 ounces.

So, the original ratio of 18 ounces to 3 cups is equivalent to a ratio of 18 ounces to 24 ounces. This can be written as the fraction 18/24. To simplify this fraction, we find the greatest common divisor (GCD) of 18 and 24, which is 6. We then divide both the numerator (18) and the denominator (24) by this GCD.

Doing so, we get 18/24 = 3/4. Therefore, the ratio 18 ounces to 3 cups expressed as a fraction in simplest form is 3/4.

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The ratio as a fraction in simplest form is 18/24 to get 3/4.

Convert cups to ounces:

3 cups = 3 * 8 ounces

            = 24 ounces

The ratio is 18 ounces to 24 ounces, which can be written as the fraction

= 18/24.

GCD of 18 and 24= 6.

18 ÷ 6 = 3

24 ÷ 6 = 4

So, [tex]\frac{18}{24}[/tex]  simplifies to [tex]\frac{3}{4}[/tex].

Thus, the ratio of 18 ounces to 3 cups in simplest form is 3/4.

Answer:

$3125

Step-by-step explanation:

[tex]A = P(1 + \frac{r}{100} )^{n}[/tex]

A = 250(1 + 0.25)ⁿ

A = (312.5)ⁿ

n = 10

A = $3125

A = I

After converting the annual nominal interest rate to decimal and applying the values, the calculated interest earned on a principal of $250.00 at 4% over 2 years is $20.00.

The student is asking how to find the missing value of interest earned (I) given the principal (P), the annual nominal interest rate (r), and the time (t) in years when the interest is not compounded.

The formula for simple interest is I = P x r x t.

In this example, you'll need to convert the percentage into a decimal.

Hence, the annual nominal interest rate of 4% is written as 0.04 in decimal form.

Now, let's calculate the interest earned over 2 years on a principal of $250.00 at a rate of 4% per year.

I = P x r x t

I = $250.00 x 0.04 x 2

I = $250.00 x 0.08

I = $20.00

Therefore, the missing value of interest earned (I) after 2 years is $20.00.

Answer:

  y = -1/6x +2

Step-by-step explanation:

The black vertical line in the middle of the graph is the y-axis. The blue line crosses it a the point marked 2. This is known as the y-intercept.

The slope of the line is the ratio of "rise" (vertical change) to "run" (horizontal change).

There is a marked point on the line at the y-intercept, where x=0 and y=2. There is another marked point to the right of that, where x=6 and y=1.

The vertical change between those two points is 1 -2 = -1.

The horizontal change between those two points is 6 -0 = 6

The slope is then -1/6.

__

The slope-intercept form of the equation of a line is often written as ...

   y = mx + b

where "m" is the slope (-1/6), and "b" is the y-intercept.

Using the values we found above, the equation of the line is ...

  y = -1/6x +2

Answer:

3 ft

Step-by-step explanation:

To find the width of the cabinet, we can use the formula:

length x width x height = volume

By plugging in the information that the problem gives, we can now solve this problem:

2 ft x 4 ft x width = 24 ft

8 ft x width = 24 ft

width = 24 ft / 8 ft

width = 3 ft

The width of the filing cabinet is found by dividing the volume (24 cubic feet) by the product of the length (2 feet) and height (4 feet), which results in a width of 3 feet.

A filing cabinet with a height of 4 feet and a length of 2 feet has a volume of 24 cubic feet. To find the width of the filing cabinet, we can use the formula for the volume of a rectangular solid: V = l x w x h. Given that V = 24, l = 2, and h = 4, substitute these values into the formula and solve for w:

Volume = length x width x height

24 = 2 x width x 4

width = 24 / (2 x 4) = 24 / 8 = 3.

Therefore, the width of the filing cabinet is 3 feet.

We need just to put y and z into polynomial, so

[tex]0.3 \times 10 + \frac{10}{5} = 3 + 2 = 5 \\ [/tex]

• you have to find what * what = answer

or find the main factors

hope this helps :)

Answer:

YES

Step-by-step explanation:

it is negative and it not a whole number there is a decimal point

Answer:

Step-by-step explanation:

The question is incomplete as the table that shows the data distribution is missing.

However, the table is as follows:

Fruit ------------- Frequency

Apple ------------ 10

Orange ---------- 13

Banana ---------- 24

Pineapple ------- 5

Watermelon ---- 8

To accurately draw a pie chart; first, the total frequency or population must be calculated.

Total = 10 + 13 + 24 + 5 + 8

Total = 60

Then the portion which each fruit will take in the pie chart is also calculated.

This is calculated by

(Frequency * 360)/Total;

For Apple

Apple = (10 * 360)/60

Apple = 3600/60

Apple = 60°

For Orange

Orange = (13 * 360)/60

Orange = 4680/60

Orange = 78°

For Banana

Banana = (24 * 360)/60

Banana = 8640/60

Banana = 144°

For Pineapple

Pineapple = (5 * 360)/60

Pineapple = 1800/60

Pineapple = 30°

Lastly,

For Watermelon

Watermelon = (8 * 360)/60

Watermelon = 2880/60

Watermelon = 48°

After this has been done, the final step is to plot these data on a pie chart.

See attachment for pie chart

Answer:

2 1/6 chapters per hour

Step-by-step explanation:

Find the unit rate, as follows:

   9.75 chapters

 ----------------------- = 2.166666 ... chapters per hour, or

     4.5 hours                            2 1/6 chapters per hour

The unit rate in chapters per hour is 13/6.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Chang reads 9 3/4 chapters in 4 1/2 hours.

So, the unit rate of reading is

= 9 3/4 / (4 1/2)

= (39/4) / (9/2)

= 39/4 x 2/9

= 13/2 x 1/3

= 13/6.

Hence, the unit rate is 13/6.

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Answer:

17

Step-by-step explanation: