All Answers 356000 Answers

\(\frac{1234567890}{0987654321} \cdot 1234567890-0987654321+1234567890\)

\(\approx 1.249999 \cdot 1234567890 + 246913569\)

\(= \boxed{1790123417}\)

Let p = the number of pennies, d = the number of dimes, and q = the number of quarters. We can set up a system of equatoins:

p + d + q = 42 (eq. 1)

q = 2p (eq. 2)

d = 3p (eq. 3)

p + 10d + 25q = 567 (eq. 4)

Plug in the results of equations 2 and 3 into equation 1.

p + 3p + 2p = 42

6p = 42

p = 7

d = 3p = 21

q = 2p = 14

k = probability of rolling a 1

k + 2k + 3k + 4k + 5k + 6k = 1

21k = 1

k = 1/21

probability of rolling an even number = 2/21 + 4/21 + 6/21 = 12/21 = 4/7

first prism: A_1 = Bh

second prism: A_2 = (4B)(h/2) = 2Bh

volume ratio = A_1/A_2 = 1/2

2 = quarters

3 = dimes

total coins = 42

3 * 2 = 6

42 / 6 = 7

pennies = 7

7 * 2 = 14
quarters = 14

7 * 3 = 21

dimes = 21

Using a calculator   R = 3

410338673 mod 35 = 3

You can use the Law of Sines to find the other two side lengths ....then use Heron's Formula to calc the area

Thanks a lot

1/x + 1/y = 5

(x + y)/xy = 5

x + y = 5xy

3xy + x + y = 4

x + y = 4 - 3xy

5xy = 4 - 3xy

8xy = 4

xy = 1/2

\(x^2 y + xy^2 = (x+y)(xy) = 5(1/2)(1/2) = \boxed{5/4}\)

We can write everything in terms of x, the number of money Cathy has.

Cathy = x

Brenda = x/2

Andy = (x/2)/2 = x/4

x = x/4 + 78

3x/4 = 78

x = 104

So, Cathy has $104, Brenda has $52, and Andy has $26. In total, they have $182.

This question was asked before: https://web2.0calc.com/questions/help_12137

Let Joanne have x dollars, so Roy has x + 190 dollars.

x/3 = 25% * (x + 190) + 30

x/3 = (x + 190)/4 + 30

4x = 3(x + 190) + 360

4x = 3x + 570 + 360

x = 930

Roy has $930 + $190 = $1120.

2013^13 mod 13==11 - the remainder

First , find f(4)    then substitute THAT value into the g(x) formula ....

x^2 + 8x + y^2 + 6 y   = - c     complete the square for x and y

(x+4)^2     +  (y+3)^2   =  16 + 9 - c       red part = radius ^2

                                         25 - c = 3^2

                                             - c = -16

                                                c = 16

x^2 + 8x + y^2 + 6y = -c

(x + 4)^2 + (y + 3)^2 = -c + 16 + 9 = -c + 25

The equation of a circle is (x - h)^2 + (y - k)^2 = r^2. So, we want:

-c + 25 = 3^2 = 9

c = 16.

x + 2 is a factor, so plugging in -2 into the function will get 0.

-8a + 4b - 8 = 0

when divided by x - 1, the remainder is 4, so plugging in 1 should get 4.

a + b - 5 = 4

We now have a system of equations:

-8a + 4b = 8

a + b = 9

Multiply the second equation by 8 to eliminate a.

-8a + 4b = 8

8a + 8b = 72

------------------------

12b = 80

b = 20/3

a = 9 - 20/3 = 7/3

x^2 - 8x + y^2 + 16y = -34

(x - 4)^2 + (y + 8)^2 = -34 + 16 + 64 = 66

center: (4, -8)

x + y = 4 - 8 = -4

The mathematician solves 80 problems when he drinks coffee.

The area covered is a sector of a circle with angle 90 degrees and radius 70.

\(A = \frac{90}{360} \pi (70)^2 = \frac{4900}{4} \pi \approx \boxed{3848}\) square feet

We can write every angle in terms of the second angle. Also, we know that the angles in a triangle must add to 180 degrees.

(2x - 15) + x + 33 = 180

3x + 18 = 180

3x = 162

x = 54

The three angles's measures are 93 degrees, 54 degrees, and 33 degrees, respectively. The largest angle's measure is 93 degrees.

yellow beans in the first bag = 26 * 50% = 13

yellow beans in the second bag = 28 * 25% = 7

yellow beans in the third bag = 30 * 50% = 15

--------------------------------------------------------------------

all yellow beans in all bags = 13 + 7 + 15 = 35

all beans in all bags = 26 + 28 + 30 = 84

percentage of yellow beans = (35/84) * 100% = 42%

Let Kendrick's age be x and his daughter's age be y. We can use the information in the problem to write a system of equations.

x = 3y + 1

x + 4 = 3(y + 4) - 7

x = 3y + 1

x = 3y + 1

This equation has infinite solutions, so any ordered pair (x, y) would solve this problem.

geometric sequence in general: a, ar, ar^2, ...

where a is the first term and r is the common ratio.

140 = a

560 = ar^2

Divide to get 4 = r^2, or r = 2. So, the second term is 140 * 2 = 280.