AD is the perpendicular bisector of BC. BD = 5x - 10 and DC = 3x + 10. Determine the value of x.

Robin has a certain number of dimes in his pocket. If the dimes were pennies, he would have $1.08 less than he has now. How many

laiz [17]

Answer:

Robin will have 12 dimes in his pocket.

Step-by-step explanation:

Since;

D = One dime = $0.1

P = One penny = $0.01

Amount to have less = $1.08

From the above, when a dime is changed to a penny, the amount held by Robin will decrease by $0.09. That is,

Decease in holding = D - P = $0.1 - $0.01 = $0.09

Therefore, we have:

Number of dimes = Amount to have less / Decease in holding = $1.08 / $0.09 = 12 dimes

Therefore, Robin will have 12 dimes in his pocket.

4 0

2 years ago

Robert makes 50 litres of green paint by mixing litres of yellow paint and litres of blue paint in the ratio 2:3.

podryga [215]

Answer:

35%

Explanation:

1. Cost of each liter of yellow paint:

Yellow paint is sold in 5 litre tins and ach tin costs £26, thus the cost of one liter is £26 / 5 liters = £5.2 per liter.

2. Cost of each liter of blue paint:

Blue paint is sold in 10 litre tins and each tin costs £48, thus the cost of one liter of blue paint is £48 / 10 liters = £4.8 per liter

3. Cost of each liter of green paint.

Green paint is made by mixing yellow paint and blue paint in the ratio 2:3

Thus, 5 liters of green paint will cost:

2 liters yellow paint: 2 liter × £5.2 / liter = £10.4

3 liters blue paint: 3 liter × £4.8 / liter = £14.4

========== ========

5 liters green paint: 5 liter £24.8

Cost of one liter of gree paint: £24.8 / 5 liter = £4.96 / liter

4. Profit

Price of each liter of green paint: £66.96 / 10 liters = £6.696 / liter = £6.70 / liter

Profit per liter = price per liter - cost per liter = £6.70/liter - £4.96 / liter = £1.74 / liter

Percentage profit = profit per liter / cost per liter × 100

Percentage profit = (£1.74 / liter) / (£4.96/liter) × 100 = 35.08% = 35%

4 0

3 years ago

Will give brainliest

tankabanditka [31]

Answer: x > − 4

Step-by-step explanation: Divide each term in − 4 x < 16 by − 4 and simplify.

(Try to solve b. and c. with only these resources and if you still need help, let me know.)

5 0

2 years ago

Read 2 more answers

Margie threw a ball upwards while standing on a platform 65ft above the ground. The trajectory follows the equation:h(t)=-1.5t^

EastWind [94]

Answer:

14 seconds

Step-by-step explanation:

Given equation is representing the graph of parabola which opens down and its pick is its vertex

The vertex is calculated by vertex formula:

x = -b/2a for the equation y = ax² + bx + c

In our case t is the vertex and its value is:

t = -42/(-1.5*2) = 42/3 = 14 seconds

7 0

2 years ago

A circle has its center at (1, 4) and a radius of 2 units. Find the equation of the circle using the Pythagorean Theorem.

Aleonysh [2.5K]

(x-1)^2+(y-4)=4 is the answer but the pyth theorem is for triangles

8 0

2 years ago