Ask question

Ask question

All categories

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?

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!

You might be interested in

17x-3y=4 2x-4y=1 the solution to the system of equations is

Burka [1]

ANSWER

$x=\frac{13}{62}$

and

$y= \frac{-9}{62}$ e have

EXPLANATION

$17x-3y=4---(1)$

$2x-4y=1$

Let us make y the subject and call it equation (2)

$2x=1+4y$

$x=\frac{1}{2}+2y--(2)$

We put equation (2) in to equation (1)

$17(\frac{1}{2}+2y)-3y=4$

$\frac{17}{2}+34y-3y=4$

$34y-3y=4- \frac{17}{2}$

Simplify to get,

$31y= \frac{8-17}{2}$

$31y= \frac{-9}{2}$

Divide both sides by 31,

$y= \frac{-9}{2} \div 31$

$y= \frac{-9}{2} \times \frac{1}{31}$

$y= \frac{-9}{62}$

We put this value in to equation (2) to get,

$x=\frac{1}{2}+2\times -\frac{9}{62}$

$x=\frac{1}{2} -\frac{18}{62}$

We collect LCM to obtain,

$x=\frac{31-18}{62}$

$x=\frac{13}{62}$

7 0

3 years ago

What is the area of a rectangle whose width is 6y units and whose length is 4y+2x-6 units?

ValentinkaMS [17]

Answer:

66473737

Step-by-step explanation:

747292929277273664646272727282891919919191919919192929298475756565665

6 0

2 years ago

A group of farmers planted 62 fields of vegetables. of the fields they planted, 4/5 were planted with cabbage. how many fields o

chubhunter [2.5K]

Total number of fields of vegetables = 62

Thus,

The amount of fields that is cabbage = $\frac{4}{5} * 62 = \frac{248 }{5} = 49.8$

4 0

3 years ago

(PLEASE HELP 15 POINTS I HAVE 7 MINS) explain your awnser what are the x- and the y-interceptions of 3x - 2y = 18

S_A_V [24]

The given equation is

$3x-2y=18$

x intercept

To find the x intercept, we have to plug 0 for y and solve for x.That is

$3x-2(0)=18
\\
3x=18
\\
x=6$

So x intercept is (6,0) .

y intercept

To find the y intercept , we have to plug 0 for x and solve for y. That is

$3(0)-2y=18
\\
-2y=18
\\
y=-9$

So the y intercept is (0,-9) .

4 0

3 years ago

You are on the south side of a river and you need to cross the river in order to get to a campsite. Not

Doss [256]

Answer:

Width of river = 0.25 mile

As length of river is not given , but it is given that campsite is located 1 mile east upstream, So length of river = 1 mile

Speed of mine in river while going upstream = 3 miles per hour

Speed of current as going Upstream = 1 miles per hour

Now Reduced speed of mine = Speed of mine in river while going upstream - Speed of current as going Upstream

= 3 - 1

= 2 miles per hour

1. There are two ways to reach campsite

(a) either walk 1 mile from starting point in east direction and then swim 0.25 mile in North direction to reach campsite.

Or

(b) From the starting point Considering a right triangle having, base=1 mile and altitude = 0.25 mile, then finding the length of hypotenuse using formula = $\sqrt{(altitude)^2 + (Base)^2$

= $\sqrt{.25^2+1^2}$

=√1.0625

=1.03078(approx)

⇒ you must walk a distance of 1 mile in the east direction and then swim 0.25 mile north direction to reach directly at campsite.[shown in the diagram]

7 0

3 years ago