Answer:
7.5 hours
Step-by-step explanation:
The key here is to find out how much can be done in the same amount ot time
the least common multiple of 5 hrs and 3 hrs is 15hrs
In 15 hours:
- At 5 hours per lawn Norton could mow 15/5 = 3 lawns
- At 3 hours per lawn together thay could mow 15/3 = 5 lawns
In 15 hours Jesse would mow 5 - 3 = 2 lawns
15 hours/ 2 lawns = 7.5 hours per lawn
7.5 hours
--------------------
Here's the math
1 lawn/5hrs + x = 1 lawn / 3hrs
1/5 + x = 1/3
Subtract 1/5 from both sides
x = 1/3 - 1/5
x = 5/15 - 3/15
x = 2/15
x = 2lawns/15 hrs
15hrs/2lawns = 7.5 hrs per lawn
7.5 hours
Suppose customers arrive at a single-server ice cream parlor times 3, 6, 15, and 17. Further suppose that it takes the server 7, 9, 6, and 8 minutes, respectively, to serve the four customers. When does customer 4 leave the shoppe
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Answer:
time 33
Step-by-step explanation:
The first customer arrives at time 3, and is finished being served at time 3+7 = 10.
The second customer arrives at time 6, so waits until time 10 to be served. The second customer is finished being served at time 10+9 = 19.
The third and fourth customers arrive at times 15 and 17. The third customer waits until time 19 to be served, and is finished being served at time 19+6 = 25.
The fourth customer waits until time 25 to be served, and is finished being served at time 25+8 = 33.
The fourth customer leaves at time 33.
Solving a word problem using a quadratic equation with rationa...
The area of a rectangle is 52 m², and the length of the rectangle is 5 mless than double the width. Find the dimensions of the rectangle.
Length:
Width : 1
Answer:
length : 8 m
width : 13/2 = 6.5 m
Step-by-step explanation:
area of rectangle = l(ength)×w(idth) = 52
l = 2w - 5
=> (2w - 5)×w = 52
=> 2w² -5w - 52 = 0
we know, when transforming this quadratic equation into a multiplication of two expressions of w, that we need to have 2w and w (to make 2w²), and then which 2 numbers multiply to 52 and add to -5 (when one is multiplied by 2 due to 2w) : -13 and 4
=> (2w - 13)×(w + 4) = 0
=> 2 solutions for w :
2w-13 = 0
2w = 13, w = 13/2
w+4 = 0, w = -4
negative values for a side length of a shape do not make sense, so the only usable solution is w = 13/2
=> l = 2w - 5 = 13 - 5 = 8
Which of the following best represents the slope of the line? A. -3 B. - 1 3 C. 1 3 D. 3
Doug invests in his company's retirement system by depositing $2400 into an account that pays 8% interest compounded quarterly. Approximately how long will Doug need to leave his money in the account for it to have a balance of $25,000? A) 30 years B) 29.6 years C) 29.3 years D) 0.5 year
3 x 5 x 5 x5 x5 x 5 x5 x5
Answer:
234375
hope this helps
have a good day :)
Step-by-step explanation:
The probability that Bob and Chris go to the movies is 0.35. The probability that Chris goes to the movies is 0.5. What is the probability that Bob goes to the movies given that Chris goes
Answer:
[tex]P(B/C)=0.7[/tex]
Step-by-step explanation:
From the question we are told that:
The probability that Bob and Chris go to the movies [tex]P(BnC)= 0.35.[/tex]
The probability that Chris goes to the movies [tex]P(C)= 0.5[/tex]
Generally the equation for the probability that Bob goes to the movies given that Chris goes P(B/C) is mathematically given by
[tex]P(B/C)=\frac{ P(BnC)}{P(C)}[/tex]
Therefore
[tex]P(B/C)=\frac{0.35)}{0.5}[/tex]
[tex]P(B/C)=0.7[/tex]
Need help answering pls
Answer:
Step-by-step explanation:
angle 2 and angle 3 are complementary angle because their sum is 90 degree as they are perpendicular.
The area of a rectangle is 135 square units. Its length measures 9 units. Find
the length of its diagonal. Round to the nearest tenth of a unit.
Answer:
Length = 9 units
Area = 135 square units
Area = Length x Breadth
135 = 9 x Breadth
Breadth = 15units
[tex]By \ pythagorean \ theorem\\\\Diagonal ^ 2= Length^2 + Breadth^2\\\\[/tex]
[tex]= 9^2 + 15^2 \\= 81 + 225 \\=306[/tex]
[tex]Diagonal = \sqrt{306} = 17.49[/tex]
Diagonal = 17.5 units
Rounding to the nearest tenth of a unit, the length of the diagonal of the rectangle is approximately 17.5 units.
To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the length of the rectangle is given as 9 units, and we need to find the length of the diagonal.
Let's assume the width of the rectangle is 'w'.
We know that the area of a rectangle is given by the formula: length × width = area.
So, 9w = 135
Dividing both sides of the equation by 9, we get: w = 15.
Now, we have the length (9 units) and the width (15 units) of the rectangle.
Using the Pythagorean theorem, we can find the length of the diagonal (d):
d² = 9² + 15²
d² = 81 + 225
d² = 306
Taking the square root of both sides, we get:
d ≈ √306 ≈ 17.5
To learn more about the Pythagoras theorem;
https://brainly.com/question/343682
#SPJ4
What type of shape is pentagon
Answer:Polygon
Step-by-step explanation:
The Pythagorean Identity states that:
(sin x)2 + (cos x)2 = 1
Given cos 6 = 472, find sin .
[?]
sin 0:
O
Simplify the fraction.
Answer:
[tex]sin(\theta) = \frac{\sqrt{17} }{7}[/tex]
Step-by-step explanation:
We know that:
sin(x)^2 + cos(x)^2 = 1
And we know that:
[tex]cos(\theta) = \frac{4\sqrt{2}}{7} }[/tex]
We want to find the value of the sine function evaluated in theta.
If we replace that in the first equation, we get:
[tex]sin(\theta)^2 + cos(\theta)^2 = 1[/tex]
[tex]sin(\theta)^2 + (\frac{4*\sqrt{2} }{7}) ^2 = 1[/tex]
[tex]sin(\theta)^2 + (\frac{4^2*\sqrt{2}^2 }{7^2}) = 1[/tex]
[tex]sin(\theta)^2 + (\frac{16*2 }{49}) = 1[/tex]
Now we can just isolate the sine part of that equation, so we get:
[tex]sin(\theta)^2 = - (\frac{16*2 }{49}) + 1 = \frac{-32}{49} + \frac{49}{49} = \frac{-32 + 49}{49} = \frac{17}{49}[/tex]
[tex]sin(\theta) = \sqrt{\frac{17}{49} } = \frac{\sqrt{17} }{\sqrt{49} } = \frac{\sqrt{17} }{7}[/tex]
(We can't simplify the fraction anymore)
Estimate 3,654 +14,464 +1,804 by first rounding each number to the nearest thousand.
Answer:
20,000
Step-by-step explanation:
3,654 rounds up to 4000
14,464 rounds down to 14,000
1,804 rounds up to 2000
4000 + 14000 + 2000 = 20,000
what is the area of
Answer:
7 * 9 = 63
63 for when both of the triangles are combined, 31.5 for one triangle.
Rectangle = 18 * 22 = 396
396 + 63
459 cm^2
Five red marbles and 10 blue marbles. what is the probability that she will not pull out a red marble?
Answer:
5/15 or 1/3
Step-by-step explanation:
What is the area of a circle with radius 8 cm? *
0 20.96 square cm
O 64 square cm
0 200.96 square cm
O 96.2 square cm
can someone help me out pls i’ll give brainliest!
answer
three
explain hope this helps
PLEASE HELP IM BEING TIMED
Answer:
5
Step-by-step explanation:
x = 10 × Sin ( 30 )
x = 10 × 1/2
x = 5
An engine runs for 3.2 hours. How many seconds did it run?
Answer:
11520 seconds
Step-by-step explanation:
3.2 x 60= 192 minutes
192 x 60= 11520 seconds
what is 2 5/12 - 1 8/12 = ?
Answer:
3/4.
Step-by-step explanation:
Convert both of the mixed numbers into improper fractions.
2 5/12 becomes 29/12, 1 8/12 becomes 20/12.
From there, subtract 20/12 from 29/12 and you get 9/12.
Simplify 9/12 to get 3/4.
Your answer is 3/4.
I hope this helped, have a nice day.
Three coffees and two muffins cost a total of 7 dollars. Two coffees and four muffins cost a total of 8 dollars. What is the individual price for a single coffee and a single muffin?
Answer:
Cost of a coffee = $1.5
Cost of a muffin = $1.25
Step-by-step explanation:
Given:
Cost of 3 coffee and 2 muffins = $7
Cost of 2 coffee and 4 muffins = $8
Find:
Cost of each
Computation:
Assume;
Cost of a coffee = a
Cost of a muffin = b
So,
3a + 2b = 7 .......... Eq1
2a + 4b = 8 .......... Eq2
Eq1 x 2
6a + 4b = 14 ......... Eq3
From Eq3 - Eq2
4a = 6
a = 1.5
Cost of a coffee = $1.5
3a + 2b = 7
3(1.5) + 2b = 7
4.5 + 2b = 7
b = 2.5/2
b = 1.25
Cost of a muffin = $1.25
10
. Which number line represents the
solution to the inequality 4x + 20 < 40?
Answer:
A.
Step-by-step explanation:
first solve the actual inequality leaving you with x<=5
then to graph it find 5 on the number line and it must be an open dot and a line pointing to less than 5.
47% of 8.4 million .....
Answer:
39,48,000
Explanation:
please mark me brainliest
Solve each problem. NO LINKS!!! PART 2.
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Answer:
28. 480
29. 40,320
Step-by-step explanation:
28. The number of possible choices is the product of the numbers of choices for each component:
5×8×12 = 480 . . . . possible different systems
__
29. Regardless of where person A sits, the remaining B through I people can be seated in 8! = 40,320 different orders.
There are 40,320 possible seating arrangements.
solve the equation
f(x)=13⋅6x for x = 2
What is the GCF of 11ab + 32ab ?
Cameron is painting one wall of his dining room. It is
19
feet long and
14
feet wide. It has a window that is
3
feet long and
5
feet wide. He will paint the whole wall except for the window. If a quart of paint covers
100
square feet and costs
$
21.48
, how much will he spend on paint?
Answer:
me name is cameron
Step-by-step explanation:
Answer:
hello, i think the answer is-
A= (19)(14) = 266
The area of the rectangle window is4779 cm to the second power if the length of the window is 81 cm what is the width
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Answer:
59 cm
Step-by-step explanation:
The area is the product of length and width. Using the given numbers, we have ...
A = LW
4779 cm² = (81 cm)W
W = (4779 cm²)/(81 cm) = 59 cm
The width of the window is 59 cm.
Given the set of data find the Mean. 4, 5, 6, 12, 12, 12, 14, 16, 22, 23, 28, 28 (round to one decimal place
Answer:
15.2
Step-by-step explanation:
mean=average
to find the mean, add up all of the numbers and divide by the # of numbers that there are
4+5+6+12+12+12+14+16+22+23+28+28=182
182/12=15.2
Answer:
11.3 to 1DP.
Step-by-step explanation:
The mean = sum of the numbers / 12.
= 136/12
= 11.333
7+2x/3=5
what is x ?
Answer:
x = -3
Step-by-step explanation:
7 + 2x/3 = 5
7*3 + 2x = 5*3 ( we multiply by 3 to remove the denominator )
21 + 2x = 15
2x = 15 - 21
2x = -6
x = -6/2
x = -3
Answer:
X=4
Step-by-step explanation:
Times both side by 3
then you get 7+2x=15
then minus 7 from both sides
2x=8
divide by 2
x=4
Express 75cm/s in m/s
Step-by-step explanation:
75 cm/s
75/100 m/s
0.75 m/s
(SINCE 100 CM =1M-------75 CM=75/100M)
How do i solve this please help
Answer:
48
Step-by-step explanation:
138-90(right angled triangle)=48