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Veronika [31]
3 years ago
15

In an endurance race, Rachel ran

Mathematics
1 answer:
Reil [10]3 years ago
3 0

Answer:

31\frac{1}{5}\ miles

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

so

The distance is equal to multiply the speed by the time

we have

speed=9\frac{3}{5}\ \frac{miles}{hour}

time=3\frac{1}{4}\ hours

distance=(9\frac{3}{5})(3\frac{1}{4})

Convert mixed number to an improper fraction

9\frac{3}{5}=9+\frac{3}{5}=\frac{9*5+3}{5}=\frac{48}{5}

3\frac{1}{4}=3+\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}

substitute

distance=(\frac{48}{5})(\frac{13}{4})=\frac{624}{20}=31,2\ miles

Convert to mixed number

31.2\ mi=31+0.2=31+\frac{1}{5}=31\frac{1}{5}\ miles

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Guys can u help me asap ?? i need explaination aloong the answer
Alisiya [41]

Answer:

5225 x 5/100 = 261.25

5225 - 261.25 = 4963.75

Step-by-step explanation:

We know that % means a 100 so if they say they allowed a 5% discount then that would be 5/100.

You will take the fraction and multiple it with the original price. It will then give you the discount price, you will then need to subtract the discounted amount from the original sale price which is 5225. Then you will get your final answer.

;-)

5 0
3 years ago
Is 2/3 a rational or irrational
anygoal [31]

Answer:

it is a rational number

Step-by-step explanation:

hope dis helps ;D

8 0
3 years ago
Read 2 more answers
Solve the following logarithmic equations.<br> ln(x^6) = 36
Hoochie [10]

Answer:

The solution is x = e⁶

Step-by-step explanation:

Hi there!

First, let´s write the equation

ln(x⁶) = 36

Apply logarithm property: ln(xᵃ) = a ln(x)

6 ln(x) = 36

Divide both sides of the equation by 6

ln(x) = 6

Apply e to both sides

e^(ln(x)) = e⁶

x = e⁶

The solution is x = e⁶

Let´s prove why e^(ln(x)) = x

Let´s consider this function:

y = e^(ln(x))

Apply ln to both sides of the equation

ln(y) = ln(e^(ln(x)))

Apply logarithm property: ln(xᵃ) = a ln(x)

ln(y) = ln(x) · ln(e)         (ln(e) = 1)

ln(y) = ln(x)

Apply logarithm equality rule: if ln(a) = ln(b) then, a = b

y = x

Since y = e^(ln(x)), then x =e^(ln(x))

Have a nice day!

8 0
3 years ago
Help please..................
Ivahew [28]
(f+g)(x) = f(x) + g(x)
(f+g)(x) = [ f(x) ] + [ g(x) ]
(f+g)(x) = [ 3x-2 ] + [ 2x+1 ]
(f+g)(x) = (3x+2x) + (-2+1)
(f+g)(x) = 5x - 1

Answer is choice B
8 0
3 years ago
Answer this question please!
fomenos

r_{2} = \frac{F_1 \sin(\theta)}{F_{2} \sin(\psi)}

4 0
3 years ago
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