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bearhunter [10]
3 years ago
11

Solve the system by graphing

Mathematics
2 answers:
julia-pushkina [17]3 years ago
8 0
The graph shows the solution to be (x, y) = (-1, 3).

anzhelika [568]3 years ago
6 0

graph each equations and your answer is where it intersects and in this case that would be (-1,3)

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Kristin wants to wrap a ribbon around the perimeter of a rectangle. The length is five less than twice the width. The perimeter
romanna [79]

The length of the rectangle is 51 inches while the width of the rectangle is 28 inches.

Since Kristin wants to wrap a ribbon around the perimeter of a rectangle, the perimeter of a rectangle P = 2(L + W) where L = length of rectangle and W = width of rectangle.

Given that the perimeter of the rectangle, P = 56 inches and the length of the rectangle, L is five less than twice the width of the rectangle, W we have that

L = 2W - 5

Substituting L into P, we have

P = 2(2W - 5 + W)

P = 2(W - 5)

Since P = 56, we have

2(W - 5) = 56

~Dividing both sides by 2, we have

W - 5 = 56/2

W - 5 = 23

Adding 5 to both sides, we have

W = 23 + 5

W = 28 inches

Substituting W into L, we have

L = 2W - 5

L = 2(28) - 5

L = 56 - 5

L = 51 inches

So, the length of the rectangle is 51 inches while the width of the rectangle is 28 inches.

Learn more about perimeter of a rectangle here:

brainly.com/question/16715918

5 0
3 years ago
3. Approximate square root v15
baherus [9]

Answer:

<h2>4</h2>

Step-by-step explanation:

\sqrt{15}\\=3.87298\dots \\\\= 4

4 0
3 years ago
Show All Work
Angelina_Jolie [31]
The unit rate you're trying to find is pages per day(or p/d), so the equation needs to have both a unit for pages and for days.
The equation we have is:
5,249 = 29d
If they read 5,249 <em>pages</em>, then we can include the unit for pages in the equation.
Since we also know that <em>d</em> is the number of days it took, you can replace <em>d</em> with days.
The equation becomes:
5,249\ pages=29*(x\days)
Now that we have one variable, we can solve for <em>p/d</em>:
\frac{5,249\ pages}{29}=x\ days\\\\181 = x
Thus it took them 181 days to read it all.

If Johnny read 5,249 pages over 181 days and the unit rate is pages per day(p/d), then the equation for finding <em>p/d</em> is:
\frac{p\ pages}{d\ days}=\frac{5,249\ pages}{181\ days}=\frac{29\ pages}{1\ day}\\\\29\ \frac{pages}{day}
Johnny read 29 pages per day.
8 0
3 years ago
Find the indicated values, where g(t)=t^2-t and f(x)=1+x g(f(2)+3)
sleet_krkn [62]

Answer:

g(f(2)+3)=30

Step-by-step explanation:

We have the two functions:

g(t)=t^2-t\text{ and } f(x)=1+x

And we wish to find:

g(f(2)+3)

First, let’s find f(2) first. So, we will substitute 2 for x for f(x):

f(2)=1+(2)=3

Hence, we can now substitute 3 for f(2):

g(f(2)+3)=g(3+3)=g(6)

Now, we can find g(6). Substitute 6 for t for g(t):

g(6)=(6)^2-(6)=36-6=30

Therefore:

g(f(2)+3)=30

4 0
3 years ago
Clark has a box of nickels and dimes that totals $1.90. there are a total of 27 coins. how many nickels and dimes does he have?
Andrej [43]
$0.05(n) + $0.10(d) = $1.90
n + d = 27
n + d - d =27 - d
n = 27 - d

$0.05(27-d) + $0.10(d) = $1.90
1.35 - 0.05d + 0.10d = $1.90
1.35 +0.05d = $1.90
1.35 - 1.35 +0.05d = $1.90 -1.35
0.05d = 0.55
0.05d/0.05 = 0.55/0.05
d = 11

n = 27 - 11
n = 16

$0.05(16) + $0.10(11) = $1.90
$0.80 + $1.10 = $1.90
$1.90 = $1.90
4 0
3 years ago
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