Mike can cut a 40 foot by 20 foot yard with a push mower in 25 minutes. At this rate, how many more minutes would it take him to cut a 40 foot by 30 foot yard?
Answers
The time required to cut the area of 40 feet by 30 feet will be 37.5 minutes.
What is an expression?
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Mike can cut a 40-foot by 20-foot yard with a push mower in 25 minutes. The time required for 40 foot x 30-foot area will be calculated as:-
40 x 20 foot yard = 25 minutes
800-foot yard = 25 minutes
1 foot yard = 25 / 800
( 40 x 30 ) foot yard = ( 25 / 800 ) x ( 40 x 30 )
1200 foot yard = ( 25 / 800 ) x ( 1200)
1200-foot yard = 37.5 minutes
Therefore, the time required to cut the area of 40 feet by 30 feet will be 37.5 minutes.
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time taken = 25 mins
time taken to mow 1sq ft = 25/800 mins
time taken to mow 40 .30 =1200sq ft = ( 25 .1200)/800 = 371/2 mins
thus the extra time taken will be 371/2-25 = 121/2 mins
Related Questions
2. Explain how the order of operations determines how you simplify a numeric expression. Be sure to explain the rules for addition, subtraction, multiplication, division, and the use of grouping symbols. Use examples to illustrate your points.
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Which is the opposite of -12?
Which binomial must be added to (4r+10) so that the sum of the two polynomials is (6r-2) ?
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
Answers
Working
Take 6 to the other side
x^2+4x = 6
Find the 3rd for the left hand side:
x^2+4x+ (4/2)^2= 6 + (4/2)^2
Factoring the LHS gives
(x+2)^2=10
Finding square roots on both sides:
x+2=square root of 10
x+2= +3.1623 or - 3.1623
x=3.1623-2
=1.16
or
x= -3.1623 - 2
= - 5.16
B 4:36
C 1:3
D 1:27
Answers
Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. The correct option is D.
What are Scaled figures?
Scaled figures are zoomed in or zoomed out (or just no zoom) versions of each other. They have scaled versions of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
So, if a side of a figure is of length L units, and that of its similarfigure is of M units, then:
where 'k' will be called a scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple linear things twice grow by the square of the scale factor. Thus, we need to multiply or divide by k²
to get each other corresponding quantities from their similar figures' quantities.
So the area of the first figure = k² × the area of the second figure
Similarly, increasing product-derived quantities will need increased power of 'k' to get the corresponding quantity. Thus, for volume, it is k cubed. or
The volume of the first figure = k³ × volume of the second figure.
It is because we will need to multiply 3 linearquantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
Given that the diameter of sphere A is 2 units, it is dilated by a scale factor of 3 to create sphere B. Therefore, the diameter of sphere B is,
Diameter of sphere B = 3 × Diameter of sphere A
= 3 × 2 units
= 6 units
Now, the ratio of diameters of the sphere and the volume of the sphere can be written as,
Hence, the correct option is D.
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Answer:
1:27
Step-by-step explanation:
I will use solve in terms of pi
Know that Original volume * scale factor cubed = new volume.
The scale factor is 3 and 3^3 is 27,
Therefore the ratio is 1:27
answer options are:
10b + 2
10
0
b - 8
I will give Brainliest answer and a thank you.
Answers
7b - 4b - 3b + 3 + 5 + 2
= 10
Answer:
10
Step-by-step explanation:
A. 6x^2 - 9x
B. -7x - 8x
C. -7x^2 + 8x
D. 7x + 8x
Answers
the answer
Answers
mmmmmmmmmmmmmmmmm
Answers
x+3=0.9
minus 3
x=2.1
Divide both sides by 10
x+3=9 / 10
Subtract 3 from both sides
x=9 / 10 −3
Simplify 9 / 10 −3 to −21 / 10
x=−21 / 10
Decimal = -2.1