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zepelin [54]
3 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]3 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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A student council consists of 15 students. Two council members have the same major and are not permitted to serve together on a
tiny-mole [99]

Answer: 4004ways

Step-by-step explanation:

Total number of Students =15

Total number of students to be on the committee =5

Since two members are of the same major and must not be on the committee, then we are left with choosing 5 people from just 14 People after we eventually remove one from those two students with same majors.

Hence to select 5 people from 14 people, we use the combination formula 14C5.

From the two students with same major we also use the combination Formula in knowing the number of ways any of the two students can be chosen. To choose one from these two students, we use the combination Formula 2C1.

Hence, the total number of ways to choose the committee of 5 and ensuring the two students with same major aren't on the committee becomes:

= 14C5 * 2C1

= 2002 * 2

= 4004ways.

3 0
3 years ago
The function f(x) is graphed. It represents a translation of the square root function g(x) = . What equation represents the grap
weqwewe [10]

Using translation concepts, the equation of the graph of f(x) is given as follows:

f(x) = \sqrt{x - 1}

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Function f(x) is a shift right of one unit of the square root function, hence x -> x - 1 and the equation is given by:

f(x) = \sqrt{x - 1}

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

8 0
2 years ago
A small ior shows the data is
Neko [114]

Answer:

Don't have enough infromation to answer that.

Step-by-step explanation:

4 0
2 years ago
m&lt;1=6x and m&lt;3= 120. find the value of x for p to be parallel to q. the diagram is not to scale
lord [1]
M<1 = M<3
these 2 angles are equal for parallel lines
6x=120
X=120/6=20
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3 years ago
3 over 8 what does that =
inn [45]

Answer:

.375

Step-by-step explanation:

divide 3 by 8

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3 years ago
Read 2 more answers
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