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3 years ago

Solve algebraically 8x + 10y = -4 -4x = 2 + 5y

Mathematics

1 answer:

Rufina [12.5K]3 years ago

8 0

The answer to the first one is:

x=-5/4y+-1/2. Why?

In the equation 8x+10y=-4, you subtract 10y form each side which leaves you with 8x=-10y-4. Right? Then you divide each side by 8 which gives you the answer

The answer to the second one is the same answer to the first problem. Why? Because you can already divide each side which gives you x=-5/4y+-1/2.

Hope this helps :^)

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The Venn diagram shows the results of two events resulting from rolling a number cube.

tankabanditka [31]

Answer:

$P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{1}{3}$

$P(A) =\frac{2}{3}$

$P(B) =\frac{1}{2}$ .

Step-by-step explanation:

We use the Venn diagram to calculate the desired probabilities.

Note that there are 6 possible results in the sample space

S = {1, 2, 3, 4, 5, 6}

Then note that in the region representing the intercept of A and B there are two possible values.

$P (A\ and\ B) = \frac{2}{6} = \frac{1}{3}$

In the region that represents event A there are 4 possible outcomes {4, 5, 1, 2}

$P(A) = \frac{4}{6} = \frac{2}{3}$

In the region that represents event B there are 3 possible outcomes {1, 2, 6}

$P(B) = \frac{3}{6} = \frac{1}{2}$ .

Now

$P(A | B)=\frac{P(A \ and\ B)}{P(B)}\\\\P(A | B)=\frac{\frac{1}{3}}{\frac{1}{2}}\\\\P(A|B)=\frac{2}{3}$

$P(A)*P(B)=\frac{2}{3}*\frac{1}{2}=\frac{1}{3}$

6 0

3 years ago

This is so confusing please help asap !

Tju [1.3M]

I don’t know how sorta

7 0

2 years ago

Read 2 more answers

The surface area of a sphere is 576pi square units. Which choice represents the volume of the sphere?

Leona [35]

Answer:

$\large\boxed{V=2304\pi}$

Step-by-step explanation:

The formula of a surface area of a sphere:

$S.A.=4\pi R^2$

R - radius

We have

$S.A.=576\pi$

Substitute and solve for R:

$4\pi R^2=576\pi$ divide both sides by π

$4R^2=576$ divide both sides by 4

$R^2=144\to R=\sqrt{144}\\\\R=12$

The formula of a volume of a sphere:

$V+\dfrac{4}{3}\pi R^3$

Substitute:

$V=\dfrac{4}{3}\pi(12^3)=\dfrac{4}{3}\pi(1728)=(4)\pi(576)=2304\pi$

3 0

3 years ago

(3?2)+(4?1)to the power of 2=10

Advocard [28]

Sol_

( 3 - 2 ) + ( 4 - 1 ) ^ 2

= 1 + 3^2

= 1 + 9

= 10

Answer is " - " .

hope it helped !

Thanks!

3 0

3 years ago

Please help!!!!!! y=[?]°

coldgirl [10]

Answer:

Since there are already 2 angles shown, which are 48 and 90 (indicated by the square in the bigger triangle, we can set up an equation.

48 + 90 + y = 180

138 + y = 180

-138 + 138 + y = 180 - 138

y = 42°

7 0

3 years ago