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SIZIF [17.4K]
4 years ago
8

Matt and Jim, working together, can weed the garden in 10 hours. Working alone, Jim takes five times as long as Matt. How long d

oes it take Matt to weed the garden alone?
Mathematics
2 answers:
asambeis [7]4 years ago
8 0

Answer:

1.67hrs

Step-by-step explanation:

Let the time taken by Matt to weed the farm be x and that of Jim be y

When they both work together

x + y = 10

Working alone Jim takes as long as 5 times Matt .

That’s y = 5x

Substitute 5x for y in the first equation

That’s x + 5x = 10

6x = 10

Divide both sides by 6

6x/6 = 10/6

x = 1.67 hrs

It takes Matt 1.67hrs to weed the farm alone

Harlamova29_29 [7]4 years ago
6 0

Answer:

10x5=50 Hours!

Step-by-step explanation:

All you just got to do is <u>10x5</u> DUH Easy!

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stiks02 [169]

Answer:

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Step-by-step explanation:

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6 0
4 years ago
What is the volume of the regular pyramid?
ad-work [718]

Answer:

C

Step-by-step explanation:

The volume of the regular pyramid is V=\dfrac{1}{3}A_{base}H.

The base of given pyramid is regular hexagon with side 12 cm. The are of this hexagon consistsof area of 6 equilateral triangles and is equal to

A_{base}=6\cdot \dfrac{1}{2}\cdot 12\cdot 10.4=374.4\ cm^2.

Hence, the volume of the pyramid is

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7 0
3 years ago
Finding unknown angle measures of right triangles.
Levart [38]
Right triangles add up to 180 degrees and one of the angles is 90
6 0
4 years ago
Read 2 more answers
An angle measures 50° more than the measure of a complementary angle. what is the measure of each angle?
77julia77 [94]
We solve the equation: a = 50 + ( 90 - a );
Then, a = 140 - a;
2a = 140;
a = 140/2;
a = 70 (it is the measure of one angle);
90 - 70 = 20 (it is the measure of another angle);
3 0
4 years ago
The local orchestra has been invited to play at a festival. There are 111 members of the orchestra and 6 are licensed to drive l
Nezavi [6.7K]

- Make an equation representing the number of vehicles needed.

We have six drivers so

x + y ≤ 6

That's not really an equation; it's an inequality.  We want to use all our drivers so we can use the small vans, so

x + y = 6

- Make an equation representing the total number of seats in vehicles for the orchestra members.

s = 25x + 12y

That's how many seats total; it has to be at least 111 so again an inequality,

25x + 12y ≥ 111

We solve it like a system of equations.  

x + y = 6

y = 6 - x

111 = 25x + 12y = 25x + 12(6-x)

111 = 25x + 72 - 12x

111 - 72 = 13 x

39 = 13 x

x = 3

Look at that,  it worked out exactly.  It didn't have to.

y = 6 - x = 3

Answer: 3 buses, 3 vans

8 0
3 years ago
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