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3 years ago

The length of a rectangle is twice its width the perimiter is 60 ft find its area

Mathematics

1 answer:

Masja [62]3 years ago

4 0

Hello,

let's assume a=the length and b the width.

$\left\{\begin{array}{ccc}a&=&2*b\\2(a+b)&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\a+b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}a&=&2*b\\3b&=&30\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}b&=&10\\a&=&20\\\end{array}\right.\\\\\\Area=10*20=200\ (ft^2)\\$

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It takes William 45 minutes to weed the garden. It takes his younger sister May 75 minutes to do the same job. If they work toge

marshall27 [118]

Answer:

B. 28 minutes

Step-by-step explanation:

According to the given statement,

William weeds the whole garden in 45 minutes, then in one minute he will weed 1/45 of the garden

and

similarly, 1/75 of the garden in one minute.

When they both will work together, they will weed (1/45+1/75) of the garden in one minute

Solving the equation:

= $\frac{1}{45}+ \frac{1}{75}\\= \frac{75+45}{3375}\\ =\frac{120}{3375}\\ = 0.036$

Garden weeded in one minute by both = 0.036

So, number of minutes to weed whole garden = 1/0.036

= 27.77 minutes

Rounding off will give us: 28 minutes

So,

Option B is the correct answer ..

4 0

3 years ago

Consider the following equations: f(x) = 2x – 2 and g(x) = 5 - x

zysi [14]

Answer:

The difference in slopes of $f(x)\ and\ g(x)$ is = 3

We can say slope of $f(x)$ is positive and 3 more than slope of $g(x)$ while slope of $g(x)$ is negative.

Difference of y-intercepts of $f(x)\ and\ g(x)$ is = -7

We can say the y-intercept of $g(x)$ is positive and 7 units above $f(x)$ while y-intercept of $f(x)$ is negative.

Step-by-step explanation:

Given equation:

$f(x) =2x - 2$

$g(x) =5-x$

We need to find the difference of slopes and y-intercepts of the given equations.

The standard form of a slope intercept equation of line is given by:

$y=mx+b$

where $m$ represents slope and $b$ represents y-intercept of line.

Writing the given equations in standard form to find slope and y-intercept.

$f(x) =2x +(-2)$

Slope = 2 and y-intercept =-2

$g(x) =(-1)x+5$

Slope = -1 and y-intercept =5

The difference in slopes of $f(x)\ and\ g(x)$ is = $2-(-1)=2+1=3$

We can say slope of $f(x)$ is positive and 3 more than slope of $g(x)$ while slope of $g(x)$ is negative.

Difference of y-intercepts of $f(x)\ and\ g(x)$ is = $-2-5=-7$

We can say the y-intercept of $g(x)$ is positive and 7 units above $f(x)$ while y-intercept of $f(x)$ is negative.

5 0

3 years ago

Which graph represents a linear function?

pshichka [43]

Answer:

y + 2x = 10 (third option)

Step-by-step explanation:

We can see that every time x increases by one, y increases by -2, meaning that the slope is -2.

We also know that the y-intercept is 10 because that is the value of y when x is equal to 0.

Now, we can create the equation using the slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept).

y = -2x + 10

If you look at the third option, that equation is just a rearranged form of our equation (y + 2x = 10).

This means that the third option is correct.

7 0

2 years ago

Read 2 more answers

Help answering this question please

IrinaK [193]

The transformation from 1 to 2 is a translation, as the shape is moved from one point to another with no rotation, reflection, or change in size.

The transformation from 2 to 3 is a reflection, as the shape is now upside down. It is still the same distance from the y-axis.

The answer is D. translation, then reflection.

3 0

2 years ago

Read 2 more answers

Suzanne bought 6 paint sets. Each set contains the same number of brushes. She has 18 brushes. Write and solve an equation to de

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

Given that:

The number of paint sets, Suzanne bought= 6

As each set contains the same number of brushes.

Let x be the number of brushes each set contains.

So, the total number of brushes in 6 sets = 6x.