Mitchel owns a livestock trailer that can hold a maximum of 5,000 pounds. The average weight of each goat is 90 pounds, and the
average weight of each calf is 360 pounds. Mitchel would like to know how many goats and calves he can transport in a single trip.
1 answer:
Answer:
The number of cows and calves Mitchel can transport is determined by the inequity
Step-by-step explanation:
Let be the number of goats, and
be the number of cows. If Mitchel's livestock trailer can only hold maximum of 5000 pounds. then we have the inequality
<em>(this says that the weight of the goats and the calves cannot exceed 500 pounds.) </em>
Therefore, this inequality determines the number of goats and calves Mitchel can take in a single trip.
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Answer:
Each inspectors NEEDS to work 20 hours in order to review 320 cars.
Step-by-step explanation:
The amount of time taken to inspect 1 car = 1/2 hr = 0.5 hr
The total people in crew are supposed to be 10
But 2 people are MISSING.
So, the total number of present people in crew = 10 - 2= 8
The total number of cars to be inspected = 320 cars.
Since each car takes 0.5 hour to be reviewed.
So, the time required to review 320 cars = 320 x 05 = 160 hours.
So, the total hours needed to inspect all 320 cars = 160 hours
Now,as there are total 8 crew members.
Hence , each inspectors NEEDS to work 20 hours in order to review 320 cars.
Answer:
mArc A B = 120° (C)
Step-by-step explanation:
Question:
In circle O, AC and BD are diameters.
Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle D O C into 2 equal angle measures of x. Angles A O D and B O C also have angle measure x.
What is mArc A B?
a)72°
b) 108°
c) 120°
d) 144°
Solution:
Find attached the diagram of the question.
Let P be the radius drawn to cut angle D O C into 2 equal angle measures of x
From the diagram,
m Arc AOC = 180° (sum of angle in a semicircle)
∠AOD + ∠DOP + ∠COP = 180° (sum of angles on a straight line)
x° +x° + x° =180°
3x = 180
x = 180/3
x = 60°
m Arc DOB = 180° (sum of angle in a semicircle)
∠AOB + ∠AOD = 180° (sum of angles on a straight line)
∠AOB + x° = 180
∠AOB + 60° = 180°
∠AOB = 180°-60°
∠AOB = 120°
mArc A B = 120°
The percentage of change in the area of the rectangle is -25% ⇒ B
Step-by-step explanation:
The given is:
- Sides AB and DC of the rectangle are increased in length by 50%
- Sides AD and BC are decreased in length by 50%
We need to find the percentage change in the <em>AREA</em> of the rectangle
Assume that the length of AB ans DC is x units, and the length of AD and BC is y units
∵ The length of the sides AB and DC increased by 50%
∵ The length of AB and CD = x
- That means x will increase by 50% of x
∵ 50% of x = (50 ÷ 100) × x = 0.5 x
∴ The length is increased by 0.5 x
∴ The new length of AB and CD = x + 0.5 x = 1.5 x units
∵ The length of the sides BC and AD decreased by 50%
∵ The length of BC and AD = y
- That means y will decrease by 50% of y
∵ 50% of y = (50 ÷ 100) × y = 0.5 y
∴ The length is decreased by 0.5 y
∴ The new length of BC and AD = y - 0.5 y = 0.5 y units
∵ The area before the change = x × y = xy units²
∵ The area after the change = 1.5 x × 0.5 y = 0.75 xy units²
∵ The new area is less than the old area
∴ The area is decreased
- To find the the percentage of change in the area subtract the
new area from the old area and divide the difference by the
old area and then multiply the quotient by 100%
∴ The percentage of the change = × 100%
∴ The percentage of the change = × 100%
∴ The percentage of the change = 0.25 × 100%
∴ The percentage of the change = 25%
∴ The area of the rectangle is decreased by 25% ⇒ (-25%)
The percentage of change in the area of the rectangle is -25%
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You can learn more about the percentage in brainly.com/question/12960754
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