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Klio2033 [76]
3 years ago
12

The measure of angle QPR = ??? degrees

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
3 0
The measure of angle QPR is 30 degrees
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A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat
Nesterboy [21]

Complete Question

A dog weighs 2 pounds less than 3 times the weight of a cat. The dog weighs twenty two more pounds than the cat.

Write and solve an equation to find the weights of the cat and the dog.

Answer:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

Step-by-step explanation:

Let's represent:

Weight of cat = x

Weight of Dog = y

A dog weighs 2 pounds less than 3 times the weight of a cat.

y = 3x - 2........ Equation 1

The dog weighs twenty two more pounds than the cat

y = x + 22....... Equation 2

The equation is given as:

y = y

3x - 2 = x + 22

Collect like terms

3x - x = 22 + 2

2x = 24

x = 24/2

x = 12 pounds

Solving for y using any of the equations:

y = 3x - 2

y = 3 × 12 - 2

y = 36 - 2

y = 34 pounds

Therefore:

Weight of cat = x = 12 pounds

Weight of Dog = y = 34 pounds

6 0
2 years ago
sue makes 2% commission sales up to $5000. She makes 7.5% commission on sales over $5000. If Sue sold $15000 worth of merchandis
ikadub [295]

Answer:

$1125

Step-by-step explanation:

Since $15,000 is over $5000 the commission is 7.5%

Next you turn the percent into a decimal:

0.075

Now multiply $15,000 by 0.075

Answer = $1125

3 0
2 years ago
Can someone please tell me that answer in simplest form
Bezzdna [24]
The answer in simplest for would be 7/8. What you basically do is multiply 7/10 by the reciprocal of 4/5 and that gives u the answer.
5 0
3 years ago
Read 2 more answers
Blue Ray's computer sales totaled $59,500 last month. She receives a commission rate of 15% on all sales. What commission did sh
LenaWriter [7]

Answer: $8,925

Step-by-step explanation:

Convert 15% to decimals. You can do this by dividing by 100.

\frac{15}{100}=0.15

Now, take the total amount of the sales and multiply it by this decimal.

59,500*0.15=8925

5 0
3 years ago
PLEASE SOLVE IT WITH EXPLANATION!!<br>DONT TAKE POINTS :)<br>​
zloy xaker [14]

Step-by-step explanation:

We are asked to simply (2√5 + 3√2)². Using formula: (a + b)² = a² + b² + 2ab. Let's say 2√5 = a, 3√2 = b. So,

→ (a + b)² = a² + b² + 2ab

→ (2√5 + 3√2)² = (2√5)² + (3√2)² + 2(2√5)(3√2)

We are aware about the fact that root means 1/2 and square of root means 2/2 that is 1. Using this we get:

→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2√5)(3√2)

Solve the brackets, to do so first put the like terms in one box.

→ (2√5 + 3√2)² = 4(5) + 9(2) + 2(2*3)(√5)(√2)

Solve the rest calculations.

→ (2√5 + 3√2)² = 20 + 18 + 2(6)(√10)

→ (2√5 + 3√2)² = 38 + 12√10

Option (a) (38 + 12√10) is the correct option.

4 0
2 years ago
Read 2 more answers
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