answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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!

You might be interested in
Gus has skydived four more times than Niko Emma has skydive twice as many times as Nico if Emma has skydived 16 times, how many
ad-work [718]

Answer: Gus skydived 32 times

Step-by-step explanation:

G = number of times that Gus skydives

N = number of times that Nico skydives

E= number of times that Emma skydives

Gus skydives 4 times as much as Nick

This means G = 4N

Emma skydives 2 times as much as Nick.

This means E= 2N

If Emma has skydived 16 times,

That means E = 16

Put E = 16 in E= 2N,

16 =2N

N= 16/2 = 8

Put N= 8 in G = 4N

G =4×8 = 32

Gus skydived 32 times

Check

Nick skydived 8 times

Emma skydived 16 times

3 0
2 years ago
Amy and two of her friends eat lunch at a restaurant. Their bill, including tax, comes to $27.63. They decide to split the bill
Art [367]

Answer:

Step-by-step explanation:

$27.63 / 2 = $13.82

$13.82 * 0.20 = $2.76

$13.82 + $2.76 = $16.58

6 0
2 years ago
Jack was so frustrated with his slow laptop that he threw it out of his second story window. The height, h, of the laptop at tim
jeyben [28]

Answer:

The domain of the function is the interval [0,2.23]

see the explanation

Step-by-step explanation:

Let

t ----> the time in seconds

h(t) ----> the height of the laptop in units

we have

h(t)=-16t^{2}+28t+17

we know that

When the laptop hits the ground, the value of h(t) is equal to zero

so

For h(t)=0

-16t^{2}+28t+17=0

Solve the quadratic equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

-16t^{2}+28t+17=0

so

a=-16\\b=28\\c=17

substitute in the formula

x=\frac{-28(+/-)\sqrt{28^{2}-4(-16)(17)}} {2(-16)}

x=\frac{-28(+/-)\sqrt{1,872}} {-32}

x=\frac{-28(+/-)12\sqrt{13}} {-32}

x_1=\frac{-28(+)12\sqrt{13}} {-32}=-0.477

x_1=\frac{28(-)12\sqrt{13}} {32}=-0.477  ---> is not a solution

x_2=\frac{-28(-)12\sqrt{13}} {-32}

x_2=\frac{28(+)12\sqrt{13}} {32}=2.23\ sec

therefore

The domain of the function is the interval [0,2.23]

All real numbers greater than or equal to 0 seconds and less than or equal to 2.23 seconds

0\ sec \leq x \leq 2.23\ sec

5 0
2 years ago
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation.
Leviafan [203]
The answer is D) The car travels 53 mph(Miles Per Hours).
212/4 = 53
318/6 = 53
424/8 = 53
530/10 = 53
5 0
2 years ago
Read 2 more answers
Which shows how to solve the equation Three-fourths x = negative 6 for x in one step?
My name is Ann [436]

option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).

<u>Step-by-step explanation:</u>

We have , The given expression as Three-fourths x = negative 6  , which can be written as \frac{3}{4} (x) = -6 . Now in order to solve this equation in one step , we must notice that coefficient of x must be 1 but it's  \frac{3}{4} , Let's make coefficient of x  as 1 by multiplying both side of equations by 4/3:

\frac{3}{4} (x) = -6

⇒ \frac{3}{4} (x) = -6

⇒ \frac{3}{4}(\frac{4}{3} ) (x) = -6(\frac{4}{3} )

⇒ x = -6(\frac{4}{3} )

⇒ x = -2(4)

⇒ x = -8

Therefore, x= -8 & correct option to solve the equation Three-fourths x = negative 6 for x in one step is <u>option A i.e. Three-fourths (four-thirds) x = negative 6 (four-thirds).</u>

7 0
2 years ago
Read 2 more answers
Other questions:
  • A shape is shown on the graph: <br><br><br><br> Which of the following is a reflection of the shape?
    15·2 answers
  • Maggie has $14,100 to invest, and wishes to gain $4,000 in interest over the next eight years. Approximately what is the minimum
    15·1 answer
  • A biologist estimates that 80% of the deer in a region carry a certain type of tick. for a sample of 300 deer selected at random
    6·1 answer
  • Arjay, Dorothy, Melissa, and Gray live in the same city. Arjay and Dorothy live 2 miles from each other. Dorothy and Melissa liv
    7·1 answer
  • 1. Hugo scored 18 points in a recent basketball game, which was 5 points fewer than Toby scored. Write an equation for this situ
    10·1 answer
  • Jason bought a table for $98.00. The finance charge was $12 and she paid for it over 10 months. Use the formula, and calculate h
    12·1 answer
  • Two opposing opinions were shown to a random sample of 1,744 US buyers of a particular political news app. The opinions, shown i
    6·1 answer
  • The graph of the function f(x) = (x − 3)(x + 1) is shown. On a coordinate plane, a parabola opens up. It goes through (negative
    13·1 answer
  • A number is chosen at random from the set of consecutive natural numbers $\{1, 2, 3, \ldots, 24\}$. What is the probability that
    9·1 answer
  • Can someone help me with this?<br>1⁵ + 5² / 25⁰ - 5¹=​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!