Questions Below.?

Question

Eduardo is 4 times older than Clayton. Don is 2 times older than Clayton. If the sum of Eduardo’s, Clayton’s, and Don’s ages is 140, how old is Don?

The picture shows a metal frame made with one diagonal bar. What is the approximate length of the diagonal bar if the height of the frame is 18 feet and the width is 7.5 feet?

If the slope of a line is m = –5, and it intersects the y-axis at (0, –1), what is the equation of the line in slope-intercept form?

What is the product of –6a and (12a + 4)?



What is the sum of the following binomials?
3x + 4y and –7y + 16x

–2z – 4 > 20

Zadie opens up a savings account with $10 and then deposits $10 a week in her account. Doug opens up a savings account with $75 and then deposits $5 a week in his account. How do the graphs of the amount of money in each account differ?



What is the slope-intercept form of the following linear equation?
34x + 17y = 51



Identify Step 2 in this solution process.

8 – x = –4(5 + 2x)
Step 1: 8 – x = –20 – 8x

Answer 1

Wow...OK, I'll take a shot at them.

1) Call the ages E, C and D. We're told E = 4C, D = 2C and E + D + C = 140. Substituting the first two equations into the third gives 4C + 2C + C = 140, or 7C = 140. Therefore C = 20. Plugging this back into the first two equations gives E = 80 and D = 40. Eduardo is 80, Don is 40 and Clayton is 20.

2) This uses the Pythagorean Theorem. The height is 18 feet and the width is 7.5, so the diagonal is the square root of (18^2 + 7.5^2). That works out to 19.5 feet.

3) Slope-intercept form is y = mx + b. We're given m = 5. When x = 0, y = -1, so b is -1.

4) -6a * (12a + 4) = -6a * 12a + -6a * 4 = -72a^2 - 24a.

5) (3x + 4y) + (-7y + 16x) = 3x + 4y -7y + 16x = 19x - 3y.

6) -2z - 4 > 20. -2z > 24. -z > 12. z < 12.

7. Zadie's graph would start out at (0, 10) and rise with a slope of 10. Doug's starts at (0, 75) and rises with a slope of 5. So his graph starts out higher and rises less steeply.

8) 34x + 15y = 51. 15y = 51 - 34x. y = 51/15 - 34x/15. y = -(2 4/15)x + 3 2/5.

9) The next step is to group like terms by adding 20 + x to each side, giving you 28 = -7x, or by adding 8x and subtracting 8, giving 7x = -28. They're equivalent.

Answer 2

Eduardo is 4 times older than Clayton. Don is 2 times older than Clayton. If the sum of Eduardo’s, Clayton’s, and Don’s ages is 140, how old is Don?

Don is 40
Clayton is 20
Eduardo is 80

If the slope of a line is m = –5, and it intersects the y-axis at (0, –1), what is the equation of the line in slope-intercept form?
y = -5x - 1

What is the slope-intercept form of the following linear equation?
34x + 17y = 51
y = -2x +54/17

8 – x = –4(5 + 2x)
Step 1: 8 – x = –20 – 8x
Step 2: 8 + 20 = - 8x + x

Answer 3

e = 4c
d = 2c
e + c + d = 140
Solve: 4c + c + 2c = 140 => c = 20. Therefore, Don is 40.

Pythagorean theorem tells the length of the bar: sqrt(18² + 7.5²) = 19.5'

y = -5x - 1

-6a * (12a + 4) = -6a * 12a + -6a * 4 = -72a² - 20a

(3x + 4y) + (-7y + 16x) = 19x - 3y

If -2z - 4 > 20, then:
-2z > 24
z < -12

z = 10 + 10w
d = 75 + 5w
They are two lines; Doug has more than Zadie until week 13, when they are equal. Zadie has more than Doug after that.

17y = -34x + 51
y = (-34/17)x + 51/17
y = -2x + 3

For 8 - x = -4(5 + 2x), solve it like this:
8 - x = -20 - 8x
8 + 7x = -20 ... this is the second step, but it does not necessarily have to go in this order.
7x = -28
x = -28/7 = -4

Answer 4

1. e = 4C
d = 2C
E + D + C = 140
4C + 2C + C = 140
7C = 140
C = 20
Don is 40
E is 80


2. 18^2 + 7.5^2 = 380.25^2 Answer is 19.5.

3.y = -5x -1

4. -72a^2 - 24a

5.19x - 3y

6. z < 12

7. Dougs account increases rapidly at firs, but then quickly slows down. Zadies accounts remains increasing at a constant rate and will eventually become greater than dougs.

8. y = -34/17(x) + (51/17)

9. Add 8x to both sides. x = -4

Answer 5

for the first one, write a system of equations:
e=4c
d=2c
e+d+c=140
then plug the first two into the last and solve for c to get d.

2) draw a picture. when the rectangle is divided with a diagonal bar, it should make a right triangle. use pythagorean theroem to find the answer

3)slope intercept form: y=mx+b.. b is y-intercept then use it

4)just multiply its EASY!

5)if you mean add them both together, just combine like terms

6) write equations, the money they start with is y intercept

9)just subtract the x from both sides and divide by the coefficient of the y

10) just finish it.

try before you ask next time, ok?