Please help me I suck at math

2x+y=8 y+3z=5 z+2w=1 5w+3x=9 Find the solution to each variable

morpeh [17]

Answer:

w = 0, x = 3, y = 2, z = 1

Step-by-step explanation:

You can use each equation to write an expression that will substitute into the next equation.

y = 8 -2x . . . . from the first equation

8 -2x + 3z = 5 . . . . . substituted into the second equation

z = (-3 +2x)/3 . . . . . solved for z

(-1 +2/3x) +2w = 1 . . . . . substituted into the third equation

w = (2 -2/3x)/2 . . . . . solved for w

5(1 -1/3x) +3x = 9 . . . . . substituted into the last equation

4/3x = 4 . . . . . simplified, 5 subtracted

x = 3 . . . . . . . . multiply by 3/4

w = 0 . . . . . . . .value of x substituted into equation for w

z = 1 . . . . . . . . value of x substituted into equation for z

y = 2 . . . . . . . .value of x substituted into equation for y

The solution is (w, x, y, z) = (0, 3, 2, 1).

4 0

3 years ago

Answer the question on the picture

goblinko [34]

Answer:

theta =111°

hope it helps.

3 0

3 years ago

Read 2 more answers

Maria want to make a footstool in the shape of a cylinder, as show below. She wants to fill the footstool with foam and cover it

dexar [7]

Answer:

She'll need 8143 cubic inches of foam and 1,809.6 square inches of fabric.

Step-by-step explanation:

Assuming you want to know how much foam and fabric she will need...

First the foam... so we need to determine the volume of that footstool. The Volume of a cylinder is given by:

V = π * r² * h

So, we plug in the numbers:

V = π * 12² * 18 = π * 144 * 18

V = 2,592 π = 8143 cubic inches.

Now for the fabric... we'll assume Maria wants to cover the side of the stool and the top, but not the bottom.

The side of the stool is basically a rectangle of width of 18 inches and a length of the circumference of the base of the stool. The circumference is given by: C = 2 π * r of course, so C = 24π = 75.14 inches.

So the lateral surface of the cylinder is:

LS = 18 * 75.14 = 1,357.2 sq inches.

Then we need to calculate the area of the top... which is easy:

A = π * r² = π * 12² = 144 π = 452.4 sq inches

So, to cover the lateral side of the footstool and its top, she needs to use:

TA = 1,357.2 + 452.4 = 1,809.6 sq inches of fabric.

8 0

3 years ago

Help me! I have a retake on this and my last answer I put was A and D and I got it wrong!

IgorC [24]

9514 1404 393

Answer:

A, E

Step-by-step explanation:

You are correct that the appropriate relationship is ...

g = 0.4t . . . . choice A

You are also correct that an equivalent relationship is ...

t = 2.5g . . . . choice D

However, when we say gallons are proportional to seconds, we usually expect that to be written ...

g = kt . . . . for some value of k

__

We note that another equivalent is ...

g = 2/5t . . . . choice E

The appropriate choices are probably A and E. Choice D might be argued to be correct, but you could very well lose that argument to someone who prefers a "g = " form of the relationship.

6 0

3 years ago

A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 12 insects is exposed to the insecticide i

Vilka [71]

Answer:

The probability that exactly 10 insects will die

P( X = 10 ) = 0.06385

Step-by-step explanation:

Step(i):-

Given a certain insecticide kills 60% of all insects in laboratory experiments

Given proportion p = 0.60

q = 1 - 0.60 = 0.40

Given sample size 'n' = 12

Step(ii):-

Let "X' be the random variable of binomial distribution

$P(X=r) = n_{C_{r} } p^{r} q^{n-r}$

The probability that exactly 10 insects will die

$P(X=10) = 12_{C_{10} } (0.60)^{10} (0.40)^{12-10}$

$n_{C_{r} } = \frac{n!}{(n-r)!r!} = \frac{12!}{(12-10)!10!} = 66$

$P(X=10) = 66 X (0.60)^{10} (0.40)^{2} = 0.06385$

Final answer:-

The probability that exactly 10 insects will die

P( X = 10 ) = 0.06385

4 0

3 years ago