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wariber [46]
3 years ago
14

Question: Rationalize the denominator

Mathematics
1 answer:
iogann1982 [59]3 years ago
3 0
#9 see picture for answer

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What is the equation for the line of reflection that maps the trapezoid onto itself?
kvv77 [185]
The line that maps a figure onto itself is a line of symmetry of the figure.

From the given trapezoid, the line of symmetry of the trapezoid is x = -2.

Therefore, the <span>equation for the line of reflection that maps the trapezoid onto itself</span> is x = -2.
6 0
3 years ago
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Bethany has $3.10 in nickels and dimes. She has a total of 44 coins. What is the value of the nickels Bethany has?
lesantik [10]
0.05n + 0.1d = 3.10
n + d = 44

d = 44 - n

Substituting to the first equation:

0.05n + 0.1(44 - n) = 3.10
0.05n + 4.4 - 0.1n = 3.10
-0.05n = 3.10 - 4.4
n = 26

Obtaining the value of nickels:
26 * 0.05 = 1.3

Therefore, the value of nickels that Bethany has is $1.30
8 0
4 years ago
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Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time
Basile [38]

Step-by-step explanation:

Given that,

Dominick is training for a race. He spends 0.75 hours running each time he runs and 1.5 hours swimming each time  he swims. This week, he spent more than 6 hours training for the race.

Let x represent no. of times Dominick runs per week and y represents no. of times that Dominick swims per week.

ATQ,

0.75x + 1.5y > 6

The graph represent the scanario for the given data.

5 0
3 years ago
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Geoffrey has 30 problems to do for math homework he finished 60 percent of them before play practice how many problems did Geoff
Vikentia [17]

Answer:

18 answers

Step-by-step explanation:

1) 30 of 60%

2)30*.6

3)18

check:

18/30=0.6

0.6=60%

3 0
3 years ago
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The length of a rectangle is 5 more than twice the width. If the perimeter of the
Rzqust [24]

Answer:

The dimensions of the rectangle are two unknowns: The length "l" and the width "w"

The perimeter of a rectangle is found as P = 2*l + 2*w

We also know that the length is 5cm more than twice the width. l = 2*w + 5

These two equations gives us a system of linear equations.

P = 2*l + 2*w

l = 2*w + 5

We can use substitution to replace the "l" in the first equation with 2*w + 5

P = 2*(2*w + 5) + 2*w

P = 4*w + 10 + 2*w

P = 6*w + 10

We know that P = 34cm

34 = 6*w + 10

Subtract 10 from both sides

24 = 6 * w

Divide both sides by 6

4 = w

Now that we know the width, we can find the length by substituting 4 for "w" in the second equation.

l = 2*4 + 5

l = 8 + 5

l = 13

The dimensions of the rectangle is 13cm x 4cm

4 0
3 years ago
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