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ASHA 777 [7]
3 years ago
10

B

Mathematics
1 answer:
nasty-shy [4]3 years ago
8 0

Answer:

Step-by-step explanation:

{y2+8y−128=0x=34⋅(y+4) ... The two right triangle are similar, so: BDAB=DEAC. From this, I obtain: ... AC=3x AB=4x (3x)²+(4x)²=225 x=3 BD=8 AB/AC=BD/DE 12/9=8/DE DE=6.

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How to solve 4(2x-7)-2×=-10 step by step
KATRIN_1 [288]

Answer: x=3

Step-by-step explanation:

4(2x-7)-2x=-10

Multiply 4 with 2x and -7

8x-28-2x=-10

Add like terms which are 8x and -2x

6x-28=-10

Add 28 to both sides so the -28 cancels out

6x=18

Divide both sides by 6 to isolate the x

Answer= x=3

6 0
3 years ago
In a certain Algebra 2 class of 30 students, 14 of them play basketball and 10 of them play baseball. There are 14 students who
Veseljchak [2.6K]

Answer:

In a certain Algebra 2 class of 30 students, 22 of them play basketball and 18 of them play baseball. There are 3 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

I know how to calculate the probability of students play both basketball and baseball which is 1330 because 22+18+3=43 and 43−30 will give you the number of students plays both sports.

But how would you find the probability using the formula P(A∩B)=P(A)×p(B)?

Thank you for all of the help.

That formula only works if events A (play basketball) and B (play baseball) are independent, but they are not in this case, since out of the 18 players that play baseball, 13 play basketball, and hence P(A|B)=1318<2230=P(A) (in other words: one who plays basketball is less likely to play basketball as well in comparison to someone who does not play baseball, i.e. playing baseball and playing basketball are negatively (or inversely) correlated)

So: the two events are not independent, and so that formula doesn't work.

Fortunately, a formula that does work (always!) is:

P(A∪B)=P(A)+P(B)−P(A∩B)

Hence:

P(A∩B)=P(A)+P(B)−P(A∪B)=2230+1830−2730=1330

7 0
3 years ago
write an equation in point slope form for the line that has a slope of 9/4 and contains the point (3,-4)
denis-greek [22]

Answer:

y+4 = 9/4(x-3)

Step-by-step explanation:

The point slope form of an equation is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

Substituting in what we know

y--4 = 9/4(x-3)

y+4 = 9/4(x-3)

4 0
3 years ago
Jaime has 6 quarters and some dimes in his pocket . The total value of the coins in 4.50. How many dimes does he have in his poc
Alexxandr [17]

Hi there! :)

<u>Answer:</u>

Jaime has 30 dimes in his pocket.


Step-by-step explanation:

First off, you need to know that:

A <em>quarter</em> is equal to = <u>$0.25</u>

A <em>dime</em> is equal to = $0.10


Jaime has 6 quarters, which means that he has 6 times $0.25:

6 × 0.25 = <u>$1.50</u>


Jaime has a total of $4.50 → Subtract the amout of money represented by the quarters and you'll be left with the amout of money represented by the dimes:

4.50 - 1.50 = <u>$3</u>


Jaime has $3 worth of dimes in his pocket. In order to know how many dimes $3 represents, you'll need to divide "3" by 0.10, which is what 1 dime is worth:

3 ÷ 0.10 = <u>30</u> → YOUR ANSWER


There you go! I really hope this helped, if there's anything just let me know! :)

6 0
3 years ago
Summer clothes are on sale starting September 1st. A swimsuit is on sale for 40% off the regular selling price of $55.00. What i
o-na [289]
55 / 100 = 0.55 which is 1%

0.55 x 40 = 22 which is 40%

55 - 22 = 33

The answer is $33
5 0
3 years ago
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