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harkovskaia [24]
3 years ago
8

During a camping trip, Tony hikes 13 1/2 mi in one day. He hikes 2 1/4 mi each hour. How many hours does it take Tony to complet

e his hike?
Mathematics
2 answers:
garik1379 [7]3 years ago
7 0

It will take 6 hours for Tony to finish his hike.

seraphim [82]3 years ago
6 0
It will take tony 6 hours to complete his hike<span />
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What is the value of x
raketka [301]

x = 60

x and 60 are alternate angles and congruent, thus

x = 60


6 0
3 years ago
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Find the length of each hypotenuse such that KMN = LMN
Mrac [35]
If triangle KMN is congruent with triangle LMN, then:
1) KM must be congruent with LM→KM=LM→
x+2y=3x-y→x+2y-x-2y=3x-y-x-2y→0=2x-3y→2x-3y=0   (1)

2) KN must be congruent with LN→KN=LN→
5x+3y=8x-7→5x+3y-5x-3y+7=8x-7-5x-3y+7→7=3x-3y→3x-3y=7  (1)

We have a system of two equations and two unkowns:
(1) 2x-3y=0
(2) 3x-3y=7

Subtracting equation (1) from equation (2)
(3x-3y)-(2x-3y)=7-0
3x-3y-2x+3y=7
x=7

Replacing x=7 in equation (1)
(1) 2x-3y=0→2(7)-3y=0→14-3y=0→
14-3y+3y=0+3y→14=3y→14/3=3y/3→14/3=y→y=14/3

The length of the hypotenuse is:
KN=5x+3y=5(7)+3(14/3)=35+14→KN=49
or
LN=8x-7=8(7)-7=56-7→LN=49

Answer: Option C. 49


7 0
3 years ago
Which equation has the solutions X=1 +-SQRT 5?
Vesna [10]

Answer:

D is correct. x^2-2x-4=0

Step-by-step explanation:

We are given the root of the equation

x=1+\pm \sqrt{5}

If we are given solution of the equation then find equation using formula.

If a and b are the solution of equation then equation would be (x-a)(x-b)=0

Here, a=1+\sqrt{5} , b=1-\sqrt{5}

Equation form would be (x-1-\sqrt{5})(x-1+\sqrt{5})=0

Now we simplify the above equation to get correct option.

x^2-x+x\sqrt{5}-x+1-\sqrt{5}-x\sqrt{5}+\sqrt{5}-5=0

x^2-2x-4=0

So, D is correct.  x^2-2x-4=0

8 0
3 years ago
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The cost of 3 candles is 19.50 what is the unit price with work shown
kobusy [5.1K]
Well, since 3 candles are 19.50, simply divide. This will make a ratio so that 1 candle will equal 6.50 per candle.

19.50 / 3 candles = 6.50 per candle.
5 0
3 years ago
Write g(x) = 4x2 + 88x in vertex form. The function written in vertex form is g(x) = (x +11)2 + .
romanna [79]

Answer:

y = 4(x + 11)² - 484

Step-by-step explanation:

y = 4x² + 88x

factor the expression

y = 4(x² + 22x)

complete the square

y + ? = 4(x² + 22x + ?)

y + ? = 4(x² + 22x + 121)

add 4 • 121 to the left side

y + 4 • 121 = 4(x² + 22x + 121)

multiply

y + 484 = 4(x² + 22x + 121)

y + 484 = 4(x + 11)²

subtract both sides by 484

y = 4(x + 11)² - 484

6 0
3 years ago
Read 2 more answers
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