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arlik [135]
2 years ago
6

Sadie bought 4 packages of napkins and 2 packages of cups. which item had more in each package? how many more?

Mathematics
1 answer:
saw5 [17]2 years ago
8 0
To determine the number of items in each of the packages, we simply multiply the number of packages and the number of items in each package.

(1) For the 4 packages of napkin.
  
    (4 packages)(28 napkins/package) = 112 napkin

(2) For 2 packages of cups
   

     (2 packages)(24 cups/package) = 48 cups

From the calculated values, it may be concluded that 4 packages of napkin will have more number of items. 

b. By how much?

     D = 112 - 48 = 64

<em>Answer: 64</em>
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nikdorinn [45]
You take 60 and divide it by 10 which is 6 so the height would be 6
3 0
3 years ago
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M is directly proportional to r2.when r=2,m=14.Work out the value of m when r=12
valentinak56 [21]

Answer:

504

Step-by-step explanation:

In the attached file

Hope it helps

4 0
3 years ago
Use the definition of the derivative to differentiate v=4/2 pie r^3
nata0808 [166]

I suspect 4/2 should actually be 4/3, since 4/2 = 2, while 4/3 would make V the volume of a sphere with radius r. But I'll stick with what's given:

\displaystyle \frac{dV}{dr} = \lim_{h\to0} \frac{2\pi(r+h)^3-2\pi r^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{(r^3+3r^2h+3rh^2+h^3)- r^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} \frac{3r^2h+3rh^2+h^3}{h}

\displaystyle \frac{dV}{dr} = 2\pi \lim_{h\to0} (3r^2+3rh+h^2)

\displaystyle \frac{dV}{dr} = 2\pi \cdot 3r^2 = \boxed{6\pi r^2}

In Mathematica, you can check this result via

D[4/2*Pi*r^3, r]

3 0
2 years ago
Which of the following theorems verifies that ABC~WXY?
Bumek [7]

Answer:

The correct answer is option <em>B. AA</em>

<em></em>

Step-by-step explanation:

Given two triangle:

\triangle ABC  and \triangle WXY.

The dimensions given in \triangle ABC are:

\angle A = 27^\circ\\\angle B = 90^\circ

We know that the sum of three angles in a triangle is equal to 180^\circ.

\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ

The dimensions given in \triangle WXY are:

\angle Y = 63^\circ\\\angle X = 90^\circ

We know that the sum of three angles in a triangle is equal to 180^\circ.

\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ

Now, if we compare the angles of the two triangles:

\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

\triangle ABC \sim \triangle WXY by <em>AA theorem.</em>

<em>So, correct answer is option B. AA </em>

7 0
2 years ago
What is the range of this relation (3,2) (-3,0) (-4,0) (-2,4)
Sveta_85 [38]

Answer:

-4 to 3

Step-by-step explanation:

look at the first number in each set then find the smallest and the biggest that is how you find range

4 0
3 years ago
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