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3 years ago

9

Write a ratio for the situation in three ways comparing the first quantity to the second quantity A zoo has 19 monkeys and 10 ch

impanzees

1 answer:

andreyandreev [35.5K]3 years ago

8 0

19:10, 19/10, 19 to 10

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The question is: find 55% of $4.80...how do I find the answer?

tresset_1 [31]

4.80 = 100%
x = 55%

Cross Multiply

100 * x = 55 * 4.80
100x = 264
x = <u>264</u>
100
x = 2.64

Solution: $2.64

6 0

2 years ago

Read 2 more answers

Juan read 300 pages in 5 days. Which reading rate is equivalent

Marta_Voda [28]

60 pages in one day 1/60

6 0

3 years ago

The volume V of an ice cream cone is given by V = 2 3 πR3 + 1 3 πR2h where R is the common radius of the spherical cap and the c

Nuetrik [128]

Answer:

The change in volume is estimated to be 17.20 $\rm{in^3}$

Step-by-step explanation:

The linearization or linear approximation of a function $f(x)$ is given by:

$f(x_0+dx) \approx f(x_0) + df(x)|_{x_0}$ where $df$ is the total differential of the function evaluated in the given point.

For the given function, the linearization is:

$V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh$

Taking $R_0=1.5$ inches and $h=3$ inches and evaluating the partial derivatives we obtain:

$V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh\\V(R, h) = V(R_0, h_0) + (\frac{2 h \pi r}{3} + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh$

substituting the values and taking $dx=0.1$ and $dh=0.3$ inches we have:

$V(R_0+dR, h_0+dh) =V(R_0, h_0) + (\frac{2 h \pi r}{3} + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh\\V(1.5+0.1, 3+0.3) =V(1.5, 3) + (\frac{2 \cdot 3 \pi \cdot 1.5}{3} + 2 \pi 1.5^2)\cdot 0.1 + (\frac{\pi 1.5^2}{3} )\cdot 0.3\\V(1.5+0.1, 3+0.3) = 17.2002\\\boxed{V(1.5+0.1, 3+0.3) \approx 17.20}$

Therefore the change in volume is estimated to be 17.20 $\rm{in^3}$

4 0

3 years ago

The student council sold jars of mixed nuts at their bazaar they were given 40 empty jars. They paid $19.60 for the nuts and $11

Alex Ar [27]

Answer:

$\$1.75$

Step-by-step explanation:

Total amount paid for the nuts is $19.60

Total amount paid for the ribbons is $11.20

Profit made on each jar is 98￠= $0.98

Cost price of the nuts and ribbon for the 40 jars is $19.6+11.2=\$30.8$

Cost price for nuts and ribbonn for one jar = $\dfrac{30.8}{40}=\$0.77$

Selling price is the sum of the cost price and profit.

Selling price for one jar = $0.77+0.98=\$1.75$

They charged $\$1.75$ for each jar.

3 0

2 years ago

Please help -6(-5)+12

madreJ [45]

<span>-6(-5)+12
Multiply -6 by -5.
Note: Whenever you multiply or divide a negative number by another negative number, it automatically becomes a positive number.
30+12
Add
Final Answer: 42</span>

4 0

3 years ago

Read 2 more answers