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Hunter-Best [27]
3 years ago
5

The perimeter of a rectangle is 68 ft. Find the dimensions of the rectangle if the ratio of the length to the width is 9 : 8. Wh

ich of the following would be the best equation to use to solve this problem?
Mathematics
1 answer:
omeli [17]3 years ago
3 0
The perimeter of a rectangle is 

P = 2w +2l
P = 68 ft

and given the ratio l/w = 9/8 from this result 8l = 9w so l = (9w)/8

P = 2w +2l

68 = 2w +2((9w)/8)

68 = 2w +9w/4

4*68 = 8w +9w

272 = 17w

w = 272/17

w = 16 

so than we know that w=16 so than the length will be 

l = (9w)/8

l = 9*16/8

l = 9*2

l = 18

so than we know that 

l = 18
w = 16
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Step-by-step explanation:

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A card is drawn from a standard deck of 52 cards and replaced. then a second card is drawn. find the probability of the first ca
kvasek [131]

Answer:

Step-by-step explanation:

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6 0
3 years ago
Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph
Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

y=-\frac{7}{4}x+4

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

y_1=mx+b

And the second one, that is perpedicular to the one above:

y_2=nx+c

The slope of the second one is the negative inverse of the first one:

n=-\frac{1}{m}

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

y-y_1=m(x-x_1)

replace with the coordinates of the point and the slope and calculate:

\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}

Subtract 7 to both sides of the equation to write it in slope-intercept form:

\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}

Now you can graph both lines

8 0
1 year ago
-3x+3y=12<br> Y=x+4<br> Whats the soultion
lisov135 [29]

The system of equations has infinitely many solutions

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

-3x + 3y = 12 ------- eqn 1

y = x + 4 --------- eqn 2

We have to find the solution to the system of equations

We can use substitution method

Substitute eqn 2 in eqn 1

-3x + 3(x + 4) = 12

-3x + 3x + 12 = 12

-3x + 12 = -3x + 12

If we have terms with same terms on both sides of equal sign, then we have infinitely many solutions

Thus the system of equations has infinitely many solutions

5 0
3 years ago
Need help with this one ​
noname [10]

Answer:

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Step-by-step explanation:

6 0
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