Answer: Area = 6m²
Smaller number = 16
Hours = 9.6 h
Step-by-step explanation:
A rectangle is 5 meters longer than its width. If the length is shortened by 2 meters and width is increased by 1 meter, the area remains the same. Find the area of the rectangle.
1) w = x m 2) w = x + 1 m
l = x + 5 m l = x + 5 - 2 = x + 3 m
A₁ = A₂
A = w*l
A₁ = x(x+5) = x² + 5x
A₂ = (x+1)(x+2) = x² + x + 2x + 2 = x² + 3x + 2
A₁ = A₂
x² + 5x = x² + 3x + 2
5x - 3x = 2
2x = 2
x = 1
A₁ = x(x+5) = 1.6 = 6 m²
The ratio of two numbers is 2:5. If the larger number is 40, what is the smaller number.
<u> 2 </u> = <u> x </u>
5 40
5x = 80
x = 80/5 = 16
Sixteen construction workers can finish cementing a floor of a building in 3 hours. On a certain day, only 5 construction workers are available for the job. How long will it take the 5 construction workers to do the cementing job?
workers hours
16 3
5 x
↑ ↓ inversely proportional
<u> 5 </u> = <u> 3 </u>
16 x
5x = 16*3
5x = 48
x = 48/5
x = 9.6 h
Answer:
The correct statment is B.
Step-by-step explanation:
A. is not correct: y = 2.4(30) - 1.8 does not equal 70...
<u>B. Is correct because the slope is 2.4 From the equation</u>
C. is not correct because the points have no 2.4 (maybe 2.2)? difference.
D. is not correct. the correlation isn't positive.
Answer:
no
Step-by-step explanation:
The second purchase is exactly half-again larger than the first purchase, so sheds no light on the relative costs of the items. The per-item costs can be found when the ratio of items purchased is different from one buy to another.
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We can only say that the cost of 1 pear and 3 apples is $7.
Answer:
1.5
18 and 33
Step-by-step explanation:2.
c
Answer:![{ \left[\begin{array}{ccc}45.5\\\\\end{array}\right] }{}\\\\\end{array}\right] } ----](https://tex.z-dn.net/?f=%7B%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D45.5%5C%5C%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%7D%7B%7D%5C%5C%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%7D%20----)
Step-by-step explanation: Hey, Basically we are going to arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
Hope this helps!
