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SIZIF [17.4K]
2 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]2 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]2 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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An=a1(r)^(n-1)
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r=common ratio

firs term is -5
we times each term by 5 to get next term so r=5

a_n=-5(5)^{n-1} is the explicit formula
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A random sample of 65 high school seniors was selected from all high school seniors at a certain high school. The following scat
Over [174]

Step-by-step explanation:

The line of best fit is y = 2.599x + 105.08.  At x = 20, the estimated height is y = 157.06.  The actual height is 160 cm, so the residual is:

160 cm − 157.06 cm = 2.94 cm

3 0
2 years ago
James and Dan are partners in a small company. From each year’s profit, James is paid a bonus of $15000 and the remainder is sha
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Answer:

total20000

bonus15000

remaining 20000-15000=5000

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Dan value=( 5000/5)*3=3000

Step-by-step explanation:

6 0
1 year ago
John deposited $2860 in a bank that pays 9% interest, compounded monthly. Find the amount he will have at the end of 3 years.
Verdich [7]
All you got to do first is:

Change the 9% to decimal, which is .9
and then multiply all numbers
 
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3 0
2 years ago
One factor of the function f(x) = x3 − 8x2 + 17x − 10 is (x − 5). Describe how to find the x-intercepts and the y-intercept of t
kozerog [31]

Answer:

x-intercepts: (1,0), (2,0), (5,0)

y-intercepts: (0,-10)

Step-by-step explanation:

One factor of the function f(x) = x^3-8x^2 + 17x-10 is (x-5).

Factor the polynomial in the following way:

x^3-8x^2 + 17x-10\\ \\=x^3-5x^2-3x^2+15x+2x-10\\ \\=x^2(x-5)-3x(x-5)+2(x-5)\\ \\=(x-5)(x^2-3x+2)

Now factor the quadratic in brackets:

x^2-3x+2\\ \\=x^2-2x-x+2\\ \\=x(x-2)-(x-2)\\ \\=(x-2)(x-1)

Hence,

f(x)=(x-5)(x-2)(x-1)

The x-intercepts are points at which y = 0, so

(x-5)(x-2)(x-1)=0\\ \\x-5=0\ \text{or}\ x-2=0\ \text{or}\ x-1=0\\ \\x=5\ \text{or}\ x=2\ \text{or}\ x=1

The y-intercepts are points at which x = 0, so

y=0^3-8\cdot 0^2+17\cdot 0-10=-10

4 0
2 years ago
Read 2 more answers
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