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34kurt
3 years ago
9

Write each ratio as a rate.

Mathematics
1 answer:
Setler [38]3 years ago
7 0

Answer:

a. 62 miles/hour

b. 1.25 laps/minute

Step-by-step explanation:

a. ratio of miles to the number of hours is 434 to 7 can also be written as

\frac{434}{7}= 62 miles/hour

therefore rate or speed= 62 miles/hour

b. \frac{number\ of \ laps}{number\ of \ minutes} = \frac{5}{4}

= 1.25 laps/minute which rate or speed

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Show your work plz luv u
atroni [7]

Answer:

x=7

Step-by-step explanation:

Step 1: Subtract 4x from both sides.

x+30−4x=4x+9−4x

−3x+30=9

Step 2: Subtract 30 from both sides.

−3x+30−30=9−30

−3x=−21

Step 3: Divide both sides by -3.

−3x

−3

=

−21

−3

<u><em>The sides of a rhombus are all congruent (the same length.)</em></u>

6 0
3 years ago
Solve: x^2 - 7x = -13
Reika [66]
There are a various of ways solve this expression. We can choose to do completing the square method or to use the quadratic formula. In this case, I will choose to do completing the square. We do as follows:

<span>x^2 - 7x = -13
</span><span>x^2 - 7x + 49/2= -13 + 49/2
(x - 7/2)^2= 23/2
</span>√[(x - 7/2)^2]= √(23/2)
x-7/2 = √46 / 2
x = √46 / 2 + 7/2

Hope this answers the question. Have a nice day.
3 0
3 years ago
The cost T, in dollars, of tuition and fees at Addison Technical College is $125 per credit plus an $85 registration fee. How ma
Jet001 [13]

Answer:

8

Step-by-step explanation:

125 + 85=210.

210 * 8 = 1680.

Therefore, the answer is 8.

6 0
3 years ago
Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show th
DanielleElmas [232]

Answer:

g^{-1}(x)=f(x)=e^{\frac{x}{3}}

Step-by-step explanation:

We have been given two functions as g(x)=\text{ln}(x^3) and f(x)=e^{\frac{x}{3}}. We are asked to show that both functions are inverse of each other algebraically and graphically.

Let us find inverse function of g(x)=\text{ln}(x^3) as:

y=\text{ln}(x^3)

Interchange x and y values:

x=\text{ln}(y^3)

Using log property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

x=3\cdot \text{ln}(y)

\frac{x}{3}=\frac{3\cdot \text{ln}(y)}{3}

\frac{x}{3}=\text{ln}(y)

Using log definition; If \text{log}_a(b)=c, then b=a^c, we will get:

y=e^{\frac{x}{3}}

g^{-1}(x)=e^{\frac{x}{3}}

Therefore, we can see that function f(x)=e^{\frac{x}{3}} is inverse of function g(x)=\text{ln}(x^3).

We can see that both functions are symmetric about line y=x, therefore, both functions are inverse of each other.  

8 0
4 years ago
I need help fast!!!!!!!!
erica [24]

Answer:

first one is 65 second one 75 third one 25

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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