Ask question

Ask question

All categories

2 years ago

6

Solve for X and Y 3x+2y=12 12x+8y=48

1 answer:

Nastasia [14]2 years ago

3 0

Answer:

x=2 and y=3

Step-by-step explanation:

3x+2y=12

3(2) + 2(3)

6 + 6 = 12

12x+8y=48

12(2) + 8(3)

24+24=48

You might be interested in

Solve for x. Show each step of the solution. 4.5(4 − x ) + 36 = 202 − 2.5(3x + 28)

Marrrta [24]

Answer:

sgsrgrsdg

Step-by-step explanation:

6 0

2 years ago

Surface Area of Cylinders

lidiya [134]

Answer: 1639.08

Step-by-step explanation: To find the surface area of a cylinder, multiply 2(3.14)times the radius squared. Your answer is 508.68. Then multiply 2(3.14)times the radius and the height. You'll get 1130.08. add the answers you got from both equations together. That's the surface area of your cylinder. If you have any more questions, please let me know.

4 0

3 years ago

Ian is a phycologist interested in determining the proportion of algae samples from a local rivulet that belonged to a particula

pickupchik [31]

Answer: 16590

Step-by-step explanation:

The formula we use to find the sample size is given by :-

, where p = prior estimate of population proportion.

$z^*$ = Critical z-value (Two- tailed)

E= Margin of error .

Let p be the population proportion of cyanobacteria.

Given : E = 0.01

Critical value for 99% confidence interval : $z^*=2.576$

If Ian does not want to rely on previous knowledge , then we assume p=0.5 because the largest standard error is at p=0.5.

Now, the required sample size = $n=0.5(1-0.5)(\frac{2.576}{0.01})^2$

$n=0.25(257.6)^2=0.25(66357.76)=16589.44\approx16590$

Required sample size = 16590

5 0

2 years ago

A cylinder has volume 78 cm3 . What is the volume of a cone with the same radius and height? A 26 cm3 B 39 cm3 C 156 cm3 D 234 c

otez555 [7]

Answer:

Option A - $26 \mathrm{cm}^{3}$

Step-by-step explanation:

Given: The volume of a cylinder = $78 \mathrm{cm}^{3}$

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is $V=\frac{\pi r^{2} h}{3}$ (1)

The formula for volume of a cylinder is $V=\pi r^{2} h$ (2)

Substituting $V=78$ in equation (2), we get,

$\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}$

Given that the cone has the same radius and height of that of the cylinder, let us substitute $78=\pi r^{2} h$ in equation (1)

$\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}$

Thus, the volume of a cone with the same radius and height of a cylinder is $26 \mathrm{cm}^{3}$ .

3 0

2 years ago

A cylinder has a radius of 10 inchunits s and a height of 6 inches. About what is it’s volume in cubic inches? Use 3.14

kotykmax [81]

Given: A cylinder with radius = 10 inches and height = 6 inches.

We have to determine the volume of the cylinder.

Volume of a cylinder with radius 'r' and height 'h' is given by the formula $\pi r^2 h$

Substituting the value of 'r' and 'h', we get

Volume = $3.14 \times (10)^2 \times 6$

Volume = $314 \times 6$

Volume = 1884 cubic inches.

Therefore, the volume of the cylinder is 1884 cubic inches.

4 0

2 years ago