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Andreyy89
3 years ago
10

Complete the two-column proof.

Mathematics
1 answer:
algol133 years ago
8 0

Answer:

a

Step-by-step explanation:

You might be interested in
8x+y=300
Bond [772]
D. The elevator takes 37.5 seconds to move down to the lobby.


8x+y=300

y= 300-8x
y= 300 - 8 (37.5)

y = 300-300
y = 0

wheb y =0 that means that the height is 0
5 0
3 years ago
A single die is rolled twice. Find the probability of rolling an
Nady [450]

Answer: 1/6

Step-by-step explanation:

A die has 6 numbers which are 1, 2, 3, 4, 5 and 6.

Odd numbers in a die = 1, 3 and 6

Numbers greater than 4 = 5 and 6

Probability of rolling an odd number = 3/6 = 1/2

Probability of rolling a number greater than 4 = 2/6 = 1/3

We then multiply both values gotten. This will be:

= 1/2 × 1/3

= 1/6

Therefore, the probability of rolling an odd number the first time and a number greater than 4 the second time is 1/6.

6 0
3 years ago
I'd really appreciate some help on these questions, I'm really struggling
nikklg [1K]
We can use linear combinations of the equations to eliminate variables.

3x - 4y = 1
-2x + 3y = 1

To eliminate y we'll make the linear combination of 3 times the first equation minus four times the second. 

9x - 12y = 3
-8x + 12y = 4

Adding,
x = 7

We could solve for y directly but let's use another linear combination, twice the first plus three times the second:

2(3x - 4y) + 3(-2x + 3y)= 2(1)+3(1)

y = 5

Check: 3(7)-4(5)=1 good.   -2(7)+3(5)=1 good.

Q18 Answer: (7,5)

y = -3x + 5
5x - 4y = -3

4y +1(5x - 4y) = 4(-3x + 5) + 1(-3)

5x = -12x + 20 -3

17 x = 17

x = 1
y = -3(1) + 5 = 2
Check: 5(1) - 4(2) = -3 good

Q19 Answer (1,2)

6x + 5y = 25
x = 2y + 24
6x = 12y + 144
5y = 25 - 12y - 144
17y = -119
y = -119/17= -7
x = 2y+24= 10
Check: 6(10)+5(-7)=25 good   2y+24=2(-7)+24=10=x good

Q20 Answer (10,-7)


3x + y = 18
-7x + 3y = -10
9x  + 3y = 54
9x - -7x = 54 - -10
16x = 64
x=4
y = 18 -3x = 18-12=6

Check: 3(4)+6=18 good,  -7(4)+3(6)=-10 good

Q21 Answer: (4,6)

6 0
3 years ago
You have $33. You want to buy a necklace and one other item from the list. a. Write an inequality to represent the situation. Le
Kitty [74]

Answer:

The inequality for amount x (in dollars) is given by

 x ≤ $33 - (cost of necklace).

Step-by-step explanation:

Let the cost of the necklace be $ y.

The amount for the necklace is constant and it is less than $33 and it is also known that the amount for the necklace will be spent.

Therefore after the necklace has been purchased and the amount deducted from $33 the remaining amount can be used completely or partly to purchase the other item.

Let  the cost in dollars of the other item be $x.

The inequality for amount x (in dollars) is given by

 x ≤ $33 - (cost of necklace)

6 0
3 years ago
Below are the results of tossing a number cube 7times. Find the experimental probability of tossing an even number. 6 4 3 2 5 3
Daniel [21]
3/7 or 3:7 because you tossed the dice 7 times and got an even number 3 of those times.
7 0
3 years ago
Read 2 more answers
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