At Cascadia College, students need to take a 100 level Math and English courses plus an optional Philosophy course. In any quarter, the college needs to make available 4 less English sections than Math sections. In any quarter student demand for the optional Philosophy course is half as many sections as English sections. Available classrooms limit the total sections of all three courses to 44
Given these constraints how many sections of each course should the college make available each quarter to meet demand?
Math sections =
English sections =
Philosophy sections =

Answer:

y = 3x - 11

Step-by-step explanation:

(Note: change 3 - (-2) to 3 + 2 to make it easier for you)

Your slope would be 3/1 or 3.

(Use either the first point or second point, I chose the first)

5 = 3(-2) + b

Your y-intercept is -11.

Hope this helped!

Answer:

4:28

Step-by-step explanation:

11:33+ 4hrs and 55 min

12:28+4hrs

4:28

Answer:

15.766

Step-by-step explanation:

17 menos 1.234 es 15

Answer:

i think 13

Step-by-step explanation:

Answer:

10/16 is not equivalent to ⅔.

⅛+¾=⅞

Step-by-step explanation:

To simplify to simplest form find the GCF for both and divide on each side.

[tex] \frac{10}{15} = \frac{2}{3} [/tex]

the GCF is 5, so you divide the numerator and denominator by 5 to get 2/3.

[tex] \frac{4}{6} = \frac{2}{3} [/tex]

When you divide the numerator and denominator by 2 (GCF) it would be ⅔.

[tex] \frac{12}{18} = \frac{2}{3} [/tex]

when you divide both the numerator and denominator by 6 (GCF) you get ⅔.

[tex] \frac{10}{16} = \frac{5}{8} [/tex]

when you divide the numerator and denominator by 2 (gcf) you get ⅝.

therefore, 10/16 is not equivalent.

[tex] \frac{1}{8} + \frac{3}{4} = [/tex]

Find the LCM

Least Common Multiple is 16.

8: 8, 16

4: 4, 8, 12, 16

[tex] \frac{2}{16} + \frac{12}{16} [/tex]

for ⅛ you multiply the numerator and denominator by 2 to get 2/16. do the same with 3/4 but with 4 to get 12/16

[tex] \frac{2}{16} + \frac{12}{16} = \frac{14}{16} [/tex]

you can simplify by dividinv both sides by 2 to get 7/8.

Answer:

OF

Step-by-step explanation:

the shapes are the same, but bigger so you literally just find the same line from shape 1 to shape 2, but bigger

Answer:

the correct side is OP

Step-by-step explanation:

Answer:

Take 148÷37. Which equals 4. The answer is C.

Answer:

68 minutes

Step-by-step explanation:

12.08=0.06x+8

4.08=0.06x

68=x

Answer:

43 mi & i think its 107.5 gal

Step-by-step explanation:

4 gal= 86 mi

4/2=2   86/2=43

2 gal= 43 mi

to get the 107 i just divided 215 by 2

Answer:

y = -1/3x

Step-by-step explanation:

Since the line has to be parallel, that means it will have the same slope. So, we use the given point and slop to solve for the new y= mx + b using the equation y - y = m( x - x)

m= -1/3    x = 3   y = -1

y + 1 = -1/3(x - 3)

y + 1 = -1/3x + 1

y = -1/3x

Answer:

Step-by-step explanation:

Given equation

2^x = -2x + 4

To solve graphically, following steps required

1. Graph the function

2. Graph the function

3. Identify any intersection of the lines

4. Take the x-coordinates of the intersection points and record as solution

See attached, the answer and the solution of the given equation

The solution is

Answer:

Graph the curve that models 2^x.

Graph the line that models -2x+4.

Identify all points of intersection of the two graphs.

Solutions to the equation are the x-coordinates of points of intersection.

Answer:

2 yards is greater then 5 feet

Step-by-step explanation:

A yard is 3 feet, 3+3=6     I hope this helps!

Answer:

$167.08

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 9.63%/100 = 0.0963 per year,

then, solving our equation

I = 347 × 0.0963 × 5 = 167.0805

I = $ 167.08

The simple interest accumulated

on a principal of $ 347.00

at a rate of 9.63% per year

for 5 years is $ 167.08.

Answer:

B

Step-by-step explanation:

Because 16 + 2.50 is less than 25 + 0.25x

Answer:

=12x

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

8 x 3ft = 24

4 x 3 = 12

24 + 12 = 36ft

so its B my g

Answer:

C.36ft2

Step-by-step explanation:

3+3=6

6x8=48

48/2=24

6x4=24

24/2=12

12+24=

36ft2

My work:

3x4=12

12+12=24

6-4=2

2+2+2=6

24÷6=4

Your answer:

4

Hope this helps!

-Alex

Answer:

18.

Step-by-step explanation:

3 x 4 = 12, 12 times 12 equals 144, 6 - 4 equals 2, and 2 times 2 times 2 is 8, and 144 / 8 = 18.

Answer:

479,001,600 different designs are possible

Step-by-step explanation:

To solve this question, we want to know in how many ways 12 elements can be arranged.

Number of possible arrangements of x elements:

The number of possible arrangments of x elements is given by:

[tex]A_{x} = x![/tex]

In this question:

12 elements. So

[tex]A_{12} = 12! = 479001600[/tex]

479,001,600 different designs are possible

Answer:

1) yes, SAS

2) No, there is no SSA theorem

Step-by-step explanation:

1) PR is shared between the two triangles so you know by Side-Angle-Side

Answer:

9.y=Mx+b

   Y= 2/5x+4

10. y=Mx+b

     Y=4x-5

Step-by-step explanation:

Answer:

9) [tex]y=\frac{2}{5} x+4[/tex]

10) [tex]y=4x-5[/tex]

Step-by-step explanation:

Slope-intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept, or the value of y when the line crosses the y-axis.

Question 9

[tex]y=mx+b[/tex]

The question tells us that the slope of the line is [tex]\frac{2}{5}[/tex]. Because the slope is [tex]m[/tex], plug [tex]\frac{2}{5}[/tex] into the equation as [tex]m[/tex].

[tex]y=\frac{2}{5} x+b[/tex]

Then, it tells us that the y-intercept is (0,4). Recall that the y-intercept is the value of y when the line crosses the y-axis. The value of y in the point (0,4) is 4. Because the y-intercept is [tex]b[/tex], plug 4 into the equation as [tex]b[/tex].

[tex]y=\frac{2}{5} x+4[/tex]

Question 10

[tex]y=mx+b[/tex]

First, we must calculate the slope using the slope equation:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

The given points are (0,-5) and (2,3). Plug those into the equation.

[tex]\frac{3-(-5)}{2-0}[/tex]

Two negatives make a positive

[tex]= \frac{3+5}{2-0}\\= \frac{8}{2} \\= 4[/tex]

Therefore, the slope of the line is 4. Plug 4 into the original equation as [tex]m[/tex].

[tex]y=4x+b[/tex]

Now, we can find the y-intercept by simply looking at the graph. The line crosses the y-axis at the point (0,-5). Therefore, the y-intercept is -5. Plug -5 into the equation as [tex]b[/tex].

[tex]y=4x+(-5)\\y=4x-5[/tex]

I hope this helps!

Answer:

N=155 I am pretty sure thats the answer

Answer:

70

Step-by-step explanation:

180 - 55 -55 = 70

Answer:

30 is 60% of 50.

Step-by-step explanation:

30 ÷ 60% = 50

Answer:

x = 67

y = 169

Step-by-step explanation:

We know that (x-1) + 52 + (y-7) = 180 because they're all on the same straight line. We also know that x-1 = 66, because they are alternate interior angles.

Solve for x:

x-1 = 66

x = 67

Now solve for y:

(67-1) + 52 + (y-7) = 180

y = 169

Answer:

20/100

Step-by-step explanation:

0.2 = 2/10 = 20/100

Answer:

170t+D=8500

D=170t−6460

Step-by-step explanation:

Mathematical models are used to explain real life situations.

We can see from the question that the total debt is $8500  while there is  interest rate of 0% for 24 months. We are also told that after 12 months, the remaining debt was $6460.

Now, the equations that correctly model the situation are;

Learn more about mathematical models:https://brainly.com/question/731147

Answer:

C

Step-by-step explanation: