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3 years ago

A rectangular room is 6 meters longer than it is wide, and its perimeter is 28

Mathematics

1 answer:

monitta3 years ago

7 0

Answer: width = 4 and length = 10

Step-by-step explanation:

Width = w and length = w + 6

2(w) + 2 (w + 6) = 28

2w + 2w + 12 = 28

4w = 28 - 12

W = 16/4

W = 4 (width)

Length = w + 6

4 + 6 = 10

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Identify an equation in point-slope form for the line parallel to y=-2/3x+8 that

UNO [17]

Answer:

$\large\boxed{y+5=\dfrac{2}{3}(x-4)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

Parallel lines have the same slope.

We have the equation in the slope-intercept form (y = mx + b)

$y=-\dfrac{2}{3}x+8\to m=\dfrac{2}{3}$

Put to the point-slope equation value of the slope and the coordinates of the point (4, -5):

$y-(-5)=\dfrac{2}{3}(x-4)\\\\y+5=\dfrac{2}{3}(x-4)$

7 0

3 years ago

Write an expression to find the total cost of buying b paperback books and m magazines if magazines cost $4.95 each and paperbac

xxTIMURxx [149]

Answer:

$Total\ cost=7.95b+4.95m$

Step-by-step explanation:

Paperback Books:

Number of books $=b$

Cost of 1 book $=\$7.95$

$Cost\ of\ all\ paperback\ books=cost\ of\ 1\ book\times number\ of\ books\\\\Cost\ of\ all\ paperback\ book=7.95\times b=7.95b$

Magazines:

Number of magazines $=m$

Cost of 1 magazine= $\$4.95$

$Cost\ of\ all\ magazine=cost\ of\ 1\ magazine\times number\ of\ magazine\\\\Cost\ of\ all\ magazines=4.95\times m=4.95m$

$Total\ Cost=Cost\ of\ paperback\ books+Cost\ of\ magazine\\Total\ Cost=7.95b+4.95m$

8 0

3 years ago

In 2009, there were 1570 bears in a wildlife refuge. In 2010, the population had increased to

natita [175]

Answer:

$8,101\ bears$

Step-by-step explanation:

we know that

In this problem we have a exponential function of the form

$y=a(b)^{x}$

where

x ----> is the number of years since 2009

y ----> is the population of bears

a ----> is the initial value

b ---> is the base

step 1

Find the value of a

For x=0 (year 2009)

y=1,570 bears

substitute

$1.570=a(b)^{0}$

$a=1.570\ bears$

$y=1.570(b)^{x}$

step 2

Find the value of b

For x=1 (year 2010)

y=1,884 bears

substitute

$1,884=1.570(b)^{1}$

$b=1,884/1.570$

$b=1.2$

The exponential function is equal to

$y=1.570(1.2)^{x}$

step 3

How many bears will there be in 2018?

2018-2009=9 years

For x=9 years

substitute in the equation

$y=1.570(1.2)^{9}$

$y=8,101\ bears$

7 0

3 years ago

HELP FAST PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!<br> Simplify 3/5÷ 7/6

topjm [15]

Answer:

18/35

Step-by-step explanation:

3/5 ÷ 7/6

3/5 × 6/7

18/35

7 0

3 years ago

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Given parallelogram ABCD with<br> m B = 5x and mC = 3x+4.<br> Find the number of degrees in mD

emmainna [20.7K]

Answer: X=22

Step-by-step explanation:

8 0

3 years ago