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lesya692 [45]
3 years ago
8

Working alone, Ryan can dig a 10 ft by 10 ft hole in five hours. Castel can dig the same hole in six hours. How long would it ta

ke them if they worked together?
Mathematics
1 answer:
Neporo4naja [7]3 years ago
5 0

Answer:

it would take 3 to 4 hours

Step-by-step explanation:

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PLSSS HELP ME IM STRESSING OUT PLS!<br> Which representations show y as a function of x?
Fantom [35]

Answer:

2 1 3

Step-by-step explanation:

7 0
3 years ago
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The temperature of a liquid in an experiment starts at 0 degrees. The temperature of the liquid changes at a rate of -0.2 per mi
Ilia_Sergeevich [38]

Initial temperature of the liquid = 0 degrees.

Rate of changes of liquid temperature = -0.2 per minute.

Rate of change also represents slope of a linear function.

We know, slope-intercept form of a linear equation

y=mx+b, where m is the slope (rate of change) and b is y-intercept(initial temprature).

With respect to given problem, y represents temperature of a liquid after x number of minutes.

According to given problem, slope(rate of change) = -0.2 per minute and y-intercept(initial temprature)=0.

Plugging values of m and b in the above slope-intercept form of a linear equation.We get,

y=-0.2x+0

or y=-0.2x.

Final temprature is given -14.6 degrees and we need to find time when temprature reach -14.6 degrees.

As y represents temperature of a liquid , we need to plug y=-14.6 in above equation.

We get,

-14.6=-0.2x.

Dividing both sides by -0.2.

-14.6/-0.2=-0.2x/-0.2

x=73.

We got 73 minutes.

73 minutes can be convert in hours.

We have 60 minutes in an hour.

Therefore, 73 = 60+13.

So, 1 hour and 13 minutes will it for the liquid to reach -14.6 degrees.

In minutes answer is 73 minutes.

3 0
3 years ago
WILL MARK BRIANLIEST!
gayaneshka [121]

Answer:

(4, - 2 )

Step-by-step explanation:

Given the 2 equations

x + y = 2 → (1)

x - y = 6 → (2)

Adding the 2 equations term by term will eliminate the term in y, that is

(x + x) + (y - y) = (2 + 6)

2x = 8 ( divide both sides by 2 )

x = 4

Substitute x = 4 in either of the 2 equations and solve for y

Substituting in (1)

4 + y = 2 ( subtract 4 from both sides )

y = - 2

Solution is (4, - 2 )

7 0
3 years ago
PLEASE HELP!! Write an equation of g(x) that represents an exponential base “e” parent function with the following transformatio
Montano1993 [528]

Answer:

g(x) = 12 {e}^{ - x - 7}

Step-by-step explanation:

The parent function is

g(x) = e {}^{x}

First it is asked to reflect over the y axis so using the rule

g(x) = g( - x)

Our function looks like

g(x) = e {}^{ - x}

Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule

g(x) = g(x - h)

When subtracting a 7 it looks like now

where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule

g(x) = a \times g(x)

where a is the vertical stretch. So now it would look like

g(x) = 12 {e}^{ - x - 7}

4 0
3 years ago
Your uncle gave you $1.80 with which to buy a present. This covered 3/10 of the cost. How much did the present cost?
s2008m [1.1K]

Answer:

$6

Step-by-step explanation:

Divide 1.80 by 3, then multiply that answer by 10.

6 0
3 years ago
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