All categories

3 years ago

James, Aimee and Zack have

Mathematics

1 answer:

Liono4ka [1.6K]3 years ago

3 0

Answer:

29Kg

Step-by-step explanation:

P1=2Kg

P2=7Kg

P3=31Kg

P3-P1=29Kg

To find P1, P2 and P3 I started assigning the first prime number, 2, to P1 and tried to assign prime numbers to P2 and P3 so that the sum was 40, increasing them at each step.

I was lucky and I got the result after few steps :-)

You might be interested in

At 11 hours, 42 minutes and 5 hours, 46 minutes

butalik [34]

Answer

https://zoom.us/j/99385592884?pwd=ajVOcXZSbGcyT3N3N0kxQm5Zek81Zz09er:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

To find sales tax multiply the cost of an item by 0.05.

krek1111 [17]

Answer: sales tax is calculated by multiplying the price of an item by 8.5%

Step-by-step explanation:

5 0

3 years ago

According to exponent rules, when we multiply two power with the same base we _______ the exponents. Example: c^6⋅ c^4

Strike441 [17]

Answer:

Step-by-step explanation:

According to exponent rules, when we multiply two power with the same base we<u> </u><u>ADD</u> the exponents.

$c^{6}*c^{4} = c^{6+4} = c^{10}$

6 0

3 years ago

The base of a solid is the region in the first quadrant bounded by the line x=-2y+6 and the coordinate axes. What is the volume

nika2105 [10]

Answer:

$V = \frac{4y^3}{3} -12y^2 +36 y \Big|_0^3$

$V= \frac{4(3)^3}{3} -12(3)^2 +36 (3) -0 = 36-108+108= 36$

Step-by-step explanation:

For this case we have the following plot on the figure attached.

We know on this case that $x = -2y+6$ represent our radius for the square, since we need cross sections perpendicular to the y axis.

We find the intersection points like this:

$x= 0 , y=3$

$y=0, x=6$

Since we are assuming squares for the cross sections the area is given by $A = r^2$ where r = x= -2y+6.

Since our radius is on terms of x we can create a integral with limits on x in order to find the volume, And we can use the following integral in order to find the volume.

$V = \int_{0}^3 (-2y+6)^2 = \int_{0}^3 4y^2 -24y +36 dy$

On the left part we are using the following property from algebra:

$(a+b)^2 = a^2 +2ab +b^2$

$(-2y+6)^2 = (-2y)^2 +2*(-2y)(6) +(6)^2 = 4y^2 -24y+36$

And after do the integral we got this:

$V = \frac{4y^3}{3} -12y^2 +36 y \Big|_0^3$

$V= \frac{4(3)^3}{3} -12(3)^2 +36 (3) -0 = 36-108+108= 36$

7 0

3 years ago

32=2 to the what power

Andrew [12]

This question also translates to: How many times do you multiply 2 times itself to get 32? The answer is 5 because you multiply 2 times itself 5 times to get 32.

3 0

4 years ago