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3 years ago

What is the value of x?

Mathematics

1 answer:

pogonyaev3 years ago

4 0

Answer:

1 is the value of x

Step-by-step explanation:

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14. The area of a rectangle is 375 square inches and it’s perimeter is 80 inches. Find both the length and width.

Pavel [41]

Answer:

Length $=25$ inches

Width $= 15$ inches

Step-by-step explanation:

Let $l$ = length of rectangle, $w$ = width of rectangle

Given the area and the perimeter of the rectangle, we can write:

$lw = 375$

$2l+2w=80$

So:

$l+w = 80\div2$

$=40$

$l=40-w$

Now, we can use substitution to find the value of $w$ :

$lw = 375$

$(40-w)w = 375$

$40w-w^2 = 375$

$375+w^2-40w = 0$ (Quadratic equation)

$(w-15)(w-25) = 0$

∴ $w = 15, 25$

We can use substitution again to find the value of $l$

$lw = 375$

$l=375\div w$

$=25,15$

∵ Length usually refers to the longer side of a rectangle, ∴ length $=25$ inches and width $=15$ inches.

Hope this helps :)

8 0

2 years ago

What is the meaning of the slope of mr taylor's line? pls help! a lot of points

Sedaia [141]

Answer:

The slope is the percentage of test score per number of days absent

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

y -----> is the percentage of test score

x ----> is the number of days absent

That means -----> The slope is the percentage of test score per number of days absent

In this problem the slope is negative

If the percentage test score increases----> the number of days decreases

If the percentage test score decreases----> the number of days increases

7 0

3 years ago

Mary works as a gardener. On her last job she charged $60 for plants and $500 for 20 hours of work. The equations represent the

Ymorist [56]

Answer:

B. Y = 32x + 35
E. Y = 35x + 30
F. Y = 40x + 40

Step-by-step explanation:

First find out how much Mary was charging per hour:

= 500 / 20

= $25 per hour

She charges $60 for plants.

In a linear equation of the form: y = mx + c, the m represents the variable cost which in this case is the $25 per hour and the c is the fixed cost which is the $60.

Her rate as a linear equation would be:

y = 25x + 60

Looking a the value of the m of other gardeners will tell you who is charging higher hourly rates with anything above $25 doing so.

The gardeners with higher values of m than Mary are:

B. Y = 32x + 35

E. Y = 35x + 30

F. Y = 40x + 40

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3 years ago

A winning football team more than doubled the offensive yards gained by its opponent. The opponent gained 272 offensive yards. T

Elena L [17]

The winning team had 6.8 per play

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3 years ago

A store has clearance items that have been marked down by 50%. They are advertising an additional markdown of 25% off the cleara

Rashid [163]

86.25 dollars instead of 345 dollars

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3 years ago

What is the value of x?​

What is the value of x?