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zepelin [54]
4 years ago
7

claire mowed 5 lawns last week. show mowed each lawn in 7/12 hour. she mowed the same lawns this week in 5/12 hour each using he

r new lawn mower. How many times longer was Claire's time to now all the lawns last week than this week?
Mathematics
1 answer:
Zinaida [17]4 years ago
5 0

Answer:

\dfrac{5}{6} hour or 50 minutes

Step-by-step explanation:

<u>Last week:</u>

Claire mowed 5 lawns

She mowed each lawn in \frac{7}{12} hour.

She spent

5\cdot \dfrac{7}{12}=\dfrac{35}{12}=2\dfrac{11}{12}

hours to mow 5 lawns.

<u>This week:</u>

Claire mowed 5 lawns

She mowed each lawn in \frac{5}{12} hour.

She spent

5\cdot \dfrac{5}{12}=\dfrac{25}{12}=2\dfrac{1}{12}

hours to mow 5 lawns.

<u>Difference:</u>

2\dfrac{11}{12}-2\dfrac{1}{12}=\dfrac{11}{12}-\dfrac{1}{12}=\dfrac{10}{12}=\dfrac{5}{6}

hour or 50 minutes.

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Find the point in this equation y+4=-3/5(x+9)
Sphinxa [80]

Answer:

hope this helps, good luck!!!

7 0
4 years ago
Q7Which statement is incorrect for the graph of thefunction y = -5 cosGcos( 3 (x – 3)) +62The period is 4.The amplitude is 3.The
guajiro [1.7K]

The given function is,

y=-5\cos (\frac{\pi}{2}(x-3))+6

The graph can be drawn as,

The period will be distance between two consequetive maximas,

\text{Period}=1-(-3)=4

Thus, period is correct.

The amplitude can be determined as,

\begin{gathered} Amplitude=\frac{\max -\min }{2} \\ =\frac{11-1}{2} \\ =5 \end{gathered}

Thus, amplitue is incorrect.

The range is,

y\in\lbrack1,11\rbrack

Thus, the range is correct.

The midline is,

\begin{gathered} \text{midline}=\frac{\max +\min }{2} \\ =\frac{1+11}{2} \\ =6 \end{gathered}

Thus, the midline is correct.

Thus, option (b) is the solution.

5 0
1 year ago
Jorge is asked to build a box in the shape of a rectangular prism. The maximum girth of the box is 20 cm. What is the width of t
MariettaO [177]

Answer:

The width of the box is 6.7 cm

The maximum volume is 148.1 cm³

Step-by-step explanation:

The given parameters of the box Jorge is asked to build are;

The maximum girth of the box = 20 cm

The nature of the sides of the box = 2 square sides and 4 rectangular sides

The side length of square side of the box = w

The length of the rectangular side of the box = l

Therefore, we have;

The girth = 2·w + 2·l = 20 cm

∴ w + l = 20/2 = 10

w + l = 10

l = 10 - w

The volume of the box, V = Area of square side × Length of rectangular side

∴ V = w × w × l = w × w × (10 - w)

V = 10·w² - w³

At the maximum volume, we have;

dV/dw = d(10·w² - w³)/dw = 0

∴ d(10·w² - w³)/dw = 2×10·w - 3·w² = 0

2×10·w - 3·w² = 20·w - 3·w² = 0

20·w - 3·w² = 0 at the maximum volume

w·(20 - 3·w) = 0

∴ w = 0 or w = 20/3 = 6.\overline 6

Given that 6.\overline 6 > 0, we have;

At the maximum volume, the width of the block, w = 6.\overline 6 cm ≈ 6.7 cm

The maximum volume, V_{max}, is therefore given when w = 6.\overline 6 cm = 20/3 cm  as follows;

V = 10·w² - w³

V_{max} = 10·(20/3)² - (20/3)³ = 4000/27 = 148.\overline {148}

The maximum volume, V_{max} = 148.\overline {148} cm³ ≈ 148.1 cm³

Using a graphing calculator, also, we have by finding the extremum of the function V = 10·w² - w³, the coordinate of the maximum point is (20/3, 4000/27)

The width of the box is;

6.7 cm

The maximum volume is;

148.1 cm³

5 0
3 years ago
Write the fact family for 5,8,and 40
Juli2301 [7.4K]
A fact family is basically just different equations with the same numbers getting the same/different numbers as answers you might say... 
this will make more sense: 
5x8=40
8x5=40
40/8=5
40/5=8
4 0
3 years ago
Sarah completed about 85% of her school homework. Her friend Emily completed x percent homework more than Sarah. Which expressio
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

85-x=100

85 represents sarah's hw

x represent Emily's hw

100 represents total completion

8 0
3 years ago
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