Planes X and Y intersect at a right angle. Line A B and Line C G lie in plane X and do not intersect. Line R S lies in plane Y.

I just need to make sure my answer is correct :)

vampirchik [111]

Answer:

Its positive

Step-by-step explanation:

3x - 5 = -3

3x = 2

x = 2/3

2/3 is positive

5 0

3 years ago

plz i need help with this its due tmrw!! (also my other most recent question is #6 of this and it would be nice for answers for

kipiarov [429]

7. You have $367.50 after two years.

Start by converting 2.5% into a decimal (divide by 100) and multiplying by 350 to find the rate of interest per year.

350(0.025) = 8.75

Since it's for two years, multiply by two.

8.75 x 2 = 17.5.

Add it on to he original, and we have

350 + 17.5 = 367. 5, or $367.50 when converted back to money.

8. The annual interest rate is 2.4%

find the interest rate per year:

120/2.5 = 48 dollars per year. this is the interest amount, we want to find the interest rate. To do this, find what % of 2000 that 48 is equal to.

Set up a system of equations and cross multiply.

$\frac{48}{2000} = \frac{x}{100}$

2000x = 48(100) > 2000x = 4800

2000/2000x = 4800/2000 > x = 2.4

So, the interest rate is 2.4%.

9. the interest paid is $300 after six months, and $600 after a year.

Find the interest rate, similar to problem 7.

3000 x 0.2 = 600. This means the interest paid is $600 a year. In six months, the total will be half, or $300.

10. four years.

Find interest rate.

200(0.035) = $7/year

Remember that value. Subtract needed from current.

228 - 200 = $28.

So, we have an interest rate of $7 a year and we need $28. Normally, we'd solve using an expression, but in this case we can use simple multiplication. Knowing that 7 x 4 = 28, We can decide that it will take four years.

5 0

2 years ago

Jerry has been staying up late at night to get in some extra study time. He hopes to get accepted into his favorite college and

svet-max [94.6K]

(Answer coming from someone who’s stressed himself)
Upset stomach.
When you’re stressed, you have a higher heart rate, difficulty sleeping, and feeling exhausted the whole day.

3 0

2 years ago

Read 2 more answers

line AB has endpoints A (-3, 1) and B (4, 5), find the coordinates of point p on directed line segment AB that partitions AB in

Margarita [4]

<h3>Given</h3>

A(-3, 1), B(4, 5)

coordinates of P on AB such that AP/PB = 5/2

<h3>Solution</h3>

AP/PB = 5/2 . . . . . desired result

2AP = 5PB . . . . . . multiply by 2PB

2(P-A) = 5(B-P) . . . meaning of the above

2P -2A = 5B -5P . . eliminate parentheses

7P = 2A +5B . . . . . collect P terms

P = (2A +5B)/7 . . . .divide by the coefficient of P

P = (2(-3, 1) +5(4, 5))/7 . . . . substitute the given points

P = (-6+20, 2+25)/7 . . . . . . simplify

P = (2, 3 6/7)

8 0

3 years ago

Read 2 more answers

If there are 52 cards in a deck with four suits (hearts, clubs, diamonds, and spades), how many ways can you select 5 diamonds a

Luba_88 [7]

Answer:

$12C5 *(12C3) = 792*220 =174240 ways$

Step-by-step explanation:

For this case we know that we have 12 cards of each denomination (hearts, diamonds, clubs and spades) because 12*4= 52

First let's find the number of ways in order to select 5 diamonds. We can use the combinatory formula since the order for this case no matter. The general formula for combinatory is given by:

$nCx = \frac{n!}{x! (n-x)!}$

So then 12 C5 would be equal to:

$12C5 = \frac{12!}{5! (12-5)!}=\frac{12!}{5! 7!} = \frac{12*11*10*9*8*7!}{5! 7!}= \frac{12*11*10*9*8}{5*4*3*2*1}=792$

So we have 792 was in order to select 5 diamonds from the total of 12

Now in order to select 3 clubs from the total of 12 we have the following number of ways:

$12C3 = \frac{12!}{3! 9!}=\frac{12*11*10*9!}{3! 9!} =\frac{12*11*10}{3*2*1}=220$

So then the numbers of ways in order to select 5 diamonds and 3 clubs are:

$(12C5)*(12C3) = 792*220 =174240 ways$

3 0

2 years ago