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NikAS [45]
3 years ago
15

What are three equivalent ratios for 3 : 3 1/2

Mathematics
1 answer:
jolli1 [7]3 years ago
7 0

Answer:

  • 6 : 7
  • 9 : 10 1/2
  • 12 : 14

Step-by-step explanation:

Multiply the given values by any number you like. The results will be integers if the number is even.

  ×2 gives 3×2 : (3 1/2)×2 = 6 : 7

  ×3 gives 3×3 : (3 1/2)×3 = 9 : 10 1/2

  ×4 gives 3×4 : (3 1/2)×4 = 12 : 14

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Find a z-score that has a distribution less than 30.5%
Ludmilka [50]
To the right: 0.51
to the left: -0.51
8 0
3 years ago
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The length of a rectangle is increasing at a rate of 6 cm/s and its width is increasing at a rate of 5 cm/s. When
atroni [7]

Answer:

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

Step-by-step explanation:

The area for a rectangle is given by the formula:

A=w\ell

Where <em>w</em> is the width and <em>l</em> is the length.

We are given that the length of the rectangle is increasing at a rate of 6 cm/s and that the width is increasing at a rate of 5 cm/s. In other words, dl/dt = 6 and dw/dt = 5.

First, differentiate the equation with respect to <em>t</em>, where <em>w</em> and <em>l</em> are both functions of <em>t: </em>

\displaystyle \frac{dA}{dt}=\frac{d}{dt}\left[w\ell]

By the Product Rule:

\displaystyle \frac{dA}{dt}=\frac{dw}{dt}\ell +\frac{d\ell}{dt}w

Since we know that dl/dt = 6 and that dw/dt = 5:

\displaystyle \frac{dA}{dt}=5\ell + 6w

We want to find the rate at which the area is increasing when the length is 12 cm and the width is 4 cm. Substitute:

\displaystyle \frac{dA}{dt}=5(12)+6(4)=84\text{ cm}^2\text{/s}

The area of the rectangle is increasing at a rate of 84 square centimeters per second.

8 0
3 years ago
a university is comparing the grade point averages of biology majors with grade point averages of engineering majors. the univer
Ronch [10]

Answer:

H0 : μEng = μBio

H1: μEng ≠ μBio

Step-by-step explanation:

μEng = Engineering average gpa

μBio = Biology average gpa

To test for difference between two sample means , in this case grade point average of biology majors and Engineering major.

Null hypothesis is the initial truth, which is that ; there is no difference in the mean grade point average of both biology and engineering majors

H0 : μEng = μBio

The Alternative hypothesis is the opposite of the null, which is stated has ; there is difference between the average GPA of both Engineering and Biology majors

H1: μEng ≠ μBio

7 0
3 years ago
What is the solution to y = x + 2 and y = 3x – 2 and how do you know? PLEASE HELPPPPP! THANK U!
Nutka1998 [239]

Answer:

(2,4)

Step-by-step explanation:

We have the system:

y=x+2

y=3x-2.

This is already setup for substitution.

I'm going to replace my first y with what the second y equals.

That is, I'm going to write 3x-2=x+2.

Time to solve the following for x:

3x-2=x+2

Subtract x on both sides:

2x-2= 2

Add 2 on both sides:

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x. = 2

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So we y=x+2 with x=2 which means y=2+2=4.

So the solution, the intersection, is (2,4).

5 0
3 years ago
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A plane descended 922.02 meters in 5.5 minutes.<br> What is the plane's rate of descent?
UkoKoshka [18]
The rate of descent is <em>164.64 meters / minute
</em>
<em />
<em />To get this answer you just divide the total number of meters descended by the total number of minutes passed. 
<em>
</em>
So:<em>

</em>
922.02 ÷ 5.5 = 164.64

I hope this helped!! Have an amazing day! :D
7 0
3 years ago
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