Each week, Robbie earns $x mowing lawns and receives $15 as his allowance.

Christine, Kareem, and Trey have a total of $133 in their wallets. Kareem has $5 more than Christine. Trey has 4 times

Nadusha1986 [10]

Answer:

Christine has $18, Kareem has $23, and Trey has $92.

Step-by-step explanation:

This can be solved by using variables to represent the unkown values.

x = Christine's money

x + 5 = Kareem's money.

4(x + 5) = Trey's money.

x + (x + 5) + 4(x + 5) = 133

2x + 5 + 4x + 20 = 133

6x = 108

x = $18

This means that Christine has $18, Kareem has $23, and Trey has $92.

Hope this helps

5 0

2 years ago

The (Figure 1) shows two thin beams joined at right angles. The vertical beam is 19.0 kg and 1.00 m long and the horizontal beam

il63 [147K]

A) The center of gravity of the two joined beams is;

(x, y) = (25/44), (19/88)

B) The gravitational torque on the joined beams about an axis through the corner is;

τ = 245 N.m

We are given;

Mass of vertical beam; m₂ = 19 kg

Mass of horizontal beam, m₁ = 25 kg

Length of horizontal beam; L₁ = 2 m

Length of vertical beam; L₂ = 1 m

A) Formula for center of gravity of the two joined beams is;

(x, y) = [(m₁x₁ + m₂x₂)/(m₁ + m₂)], [(m₁y₁ + m₂y₂)/(m₁ + m₂)]

Where;

(x₁, y₁) is the center of gravity on the horizontal beam

(x₂, y₂) is the center of gravity on the vertical beam

(x₁, y₁) = (L₁/2, 0)

Plugging in the relevant values gives;

(x₁, y₁) = (2/2, 0)

(x₁, y₁) = (1, 0)

(x₂, y₂) = (0, L₂/2)

Plugging in the relevant values gives;

(x₂, y₂) = (0, 1/2)

(x₂, y₂) = (0, 0.5)

Thus, center of gravity of the 2 joined beams is;

(x, y) = [((25 × 1) + (19 × 0))/(25 + 19)], [((25 × 0) + (19 × 0.5)))/(25 + 19)]

(x, y) = (25/44), (19/88)

B) Formula for the gravitational torque on the joined beams about an axis through the corner is given as;

τ = (m₁g)x₁ + (m₂g)x₂

Plugging in the relevant values;

τ = (25 × 9.8)1 + (19 × 9.8)0

τ = 245 N.m

Read more at; brainly.com/question/14825257

8 0

2 years ago

John invests $200 at 4.5% compounded annually. About how long will it take for John’s investment to double in value?

Gekata [30.6K]

Answer:

The number of years needed is 15.75 years.

Step-by-step explanation:

The investment amount (present value) = $200

Interest rate =4.5%

Double of investment = $400

Now we have to find the time or number of years in which the investment amount will be doubled. So, just use the below formula to find the number of years.

Future value = present value ×(1+interest rate)^n

400 = 200×(1+4.5%)^n

N = 15.75 years

The number of years required to double the amount is 15.75 years.

8 0

3 years ago

Please help I found this one a bit confusing

Brums [2.3K]

Answer:

7.2

Step-by-step explanation:

To reach point D from point C, you need to add 4 to the x-value of point C and take away 6 from the y-value. These numbers are the sides of the hypothetical triangle.

The Pythagorean Theorem states that $a^2+b^2=c^2$ . If we plug the side lengths in for a and b, we get $4^2 + 6^2 = c^2$ . This can be simplified to $16+36=c^2$ , or $52 = c^2$ . If we root both sides, we find that c is equal to $\sqrt{52}$ , which is slightly more than 7, at around 7.2.

4 0

3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Line m has no y

goblinko [34]

If the line does not have a y int, then it means it does not cross the y axis....that means it is a vertical line.....its x int is (3,0)...so this equation for the line is x = 3

if the line does not have an x int, it means it does not cross the x axis...that means it is a horizontal line...its y int is (0,-4)...so the equation for this line is
y = -4

4 0

3 years ago

Read 2 more answers