All Answers 355967 Answers

The sum of the prices of the albums must be less than or equal to $25

m + 9.99 + 1.29 + 0.79   ≤   25

                                                   Simplify the left side of the inequality

m + 12.07   ≤   25

                                                   Subtract  12.07  from both sides of the inequality

m  ≤   25 - 12.07

m  ≤  12.93

yes, devide 9/36 both top and bottom by 9 to get 1/4

This has already been answered.

Jenny, you know better than to ask 3 questions all on the same post!

This should help

I'm sure you can complete the above.

288 * 0.25 = 72         ($1 coins)

288 - 72 = 216         (non 1-dollar coins)

216 / 36% = x / 64%          x = 384

384 - 72 = 312

Peter must collect 312 1-dollar coins.

Area = (4*12) + 16pi / 2 ≈ 73.13 meters squared

Area = (6*7) + (7*10) + (6*8) + (7*8)

By using the law of sines, we find that x ≈ 63.71 cm

? = [sqrt(15² + 8²)] - 8

? = 1/2(360 - 150 - 92)

the surface area of any solids are just the areas of all their sides added up.

so for this figure, we would have the surface area be:

2((6 * 8) / 2) + 7 * 10 + 7 * 6 + 7 * 8 = 6 * 8 + 7 * 10 + 7 * 6 + 7 * 8 = 48 + 70 + 42 + 56 = 216.

hope this helped! please let me know if i am incorrect, as i wasn't too sure on some of the areas. sorry if my explanations weren't too good. feel free to ask any follow-up questions :)

if angles A and B are complementary, that means they add up to 90 degrees.

so we can create this equation:

2X - 8 + 36 = 90

2X + 28 = 90

2X = 90 - 28

2X = 62

X = 31

hope this helped! please let me know if you have any follow-up questions. 

The sum of all possible values of a is 22.

Using the method of undetermined coefficients, we get that the polynomial is 15x^5 - 20x^4 + 18x^3.

A + B + C = 36.

Solve the following system:

{a = -a + 2 + sqrt(5) | (equation 1)

b = -b + 2 - sqrt(5) | (equation 2)

c = -c + 2 + sqrt(5) | (equation 3)

d = -d + 2 - sqrt(5) | (equation 4)

Express the system in standard form:

{2 a+0 b+0 c+0 d = 2 + sqrt(5) | (equation 1)

0 a+2 b+0 c+0 d = 2 - sqrt(5) | (equation 2)

0 a+0 b+2 c+0 d = 2 + sqrt(5) | (equation 3)

0 a+0 b+0 c+2 d = 2 - sqrt(5) | (equation 4)

Divide equation 4 by 2:

{2 a+0 b+0 c+0 d = 2 + sqrt(5) | (equation 1)

0 a+2 b+0 c+0 d = 2 - sqrt(5) | (equation 2)

0 a+0 b+2 c+0 d = 2 + sqrt(5) | (equation 3)

0 a+0 b+0 c+d = 1 - (sqrt(5))/(2) | (equation 4)

Divide equation 3 by 2:

{2 a+0 b+0 c+0 d = 2 + sqrt(5) | (equation 1)

0 a+2 b+0 c+0 d = 2 - sqrt(5) | (equation 2)

0 a+0 b+c+0 d = (sqrt(5) + 2)/(2) | (equation 3)

0 a+0 b+0 c+d = 1 - sqrt(5)/2 | (equation 4)

Divide equation 2 by 2:

{2 a+0 b+0 c+0 d = 2 + sqrt(5) | (equation 1)

0 a+b+0 c+0 d = 1 - (sqrt(5))/(2) | (equation 2)

0 a+0 b+c+0 d = 1/2 (2 + sqrt(5)) | (equation 3)

0 a+0 b+0 c+d = 1 - sqrt(5)/2 | (equation 4)

Divide equation 1 by 2:

{a+0 b+0 c+0 d = (sqrt(5) + 2)/(2) | (equation 1)

0 a+b+0 c+0 d = 1 - sqrt(5)/2 | (equation 2)

0 a+0 b+c+0 d = 1/2 (2 + sqrt(5)) | (equation 3)

0 a+0 b+0 c+d = 1 - sqrt(5)/2 | (equation 4)

Collect results:

a = 1/2 (2 + sqrt(5))

b = 1 - sqrt(5)/2

c = 1/2 (2 + sqrt(5))

d = 1 - sqrt(5)/2      If you multiply them together, you get:abcd =1/16

Using geometric probability, the probability is pi/6.

The center of the circle is (13/2,12), so h + k = 13/2 + 12 = 37/2.

The probability is 17/80, so x + y = 97.

b - a = 3/2.

The sum of all the different possible areas of coo right triangles is 276.

Imagine the shape as a rectangle with its corners cut off.

The length of the rectangle would be 12 ft + 5 ft = 17 ft.

The width is given as 14 ft.

Therefore, the area of the rectangle is 17*14 = 238 square ft.

For the corners, use bh/2 to find their area.

The unknown leg of the red "corner" triangle is (14 - 7)/2 = 3.5 ft. 

The area of the red "corner" is hence (3.5*5)/2 = 8.75 square feet.

To find the final area, subtract 2 times the area of the corner(since there are 2 corners missing) from the area of the rectangle:

238 - 2*8.75 = 220.5 square ft.

Solved! :)

We can use the form y=mx+b to solve this problem, where m is the slope and b is the y-intercept.

Since the slope is given as 2, we can substitute this into the equation:

y = 2x+b

Now, we can manipulate the point (-1,-7) to be in the form of a y-intercept - (0, y).

Note that a slope of 2 = 2/1, which means the rise = 2(which is added to the y) and run = 1(which is added to the x).

Adding this to our point of (-1,-7), we get:

((-1+1),(-7+2)) = (0, -5)

Therefore -5 is our y-intercept.

Now, substituting -5 into our equation, we get:

y = 2x + -5

y = 2x - 5

Solved! :)