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3 years ago

Tell how you know when you need to use renaming when subtracting mixed numbers

1 answer:

4 0

Mixed Numbers to Fractions uses number line models to demonstrate how a number in mixed form can be renamed in fraction form. The illustration below was made by Mixed to Fraction Designer. ... Some textbooks call a fraction such as this improper, where the numerator is equal to or larger than.

Step 1: Keep the denominator the same. Step 2: Add or subtract the numerators. ...Step 1: Find the Lowest Common Multiple (LCM) between the denominators. ...Step 1: Convert all mixed numbers into improper fractions. ...In this second method, we will break the mixed number into wholes and parts. ...Thus, is equivalent to.

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A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

3 years ago

1. -30 and 25<br> 2. -34 and -37<br> 3. -15 and 15

inessss [21]

What’s the question ???

3 0

3 years ago

Read 2 more answers

Urgent!! please help )):

alisha [4.7K]

The 16th term is: 53

Further explanation:

We have to find the general formula first

The general form is:

$a_n=a_1+(n-1)d\\Given\\a_1=8\\d=3\\Putting\ the\ values\ in\ the\ formula\\a_n=8+(n-1)(3)\\a_n=8+3n-3\\a_n=5+3n\\For\ 16th\ term, put\ n=16\\a_n=5+3(16)\\a_n=5+48\\a_n=53$

The 16th term is: 53

Keywords: Arithmetic sequence, Common Difference

Learn more about arithmetic sequence at:

#LearnwithBrainly

4 0

3 years ago

The ratio of boys to girls in a class is 4:3. there are 9 girls. how many boys are in the class?

aalyn [17]

For every 3 girls, there are 4 boys. if there are nine girls, that expands to three extra boys, because for every three theres an extra one. so there are 12 boys (9+3.) the final ratio, boys to girls, is 12:9.

6 0

3 years ago

If EG=50,and point F is 2/5 of the way between E and G

TEA [102]

2/5 of 50 is 20. 50-20=30. Making FG=30

7 0

4 years ago