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r-ruslan [8.4K]
3 years ago
10

One number is eight less than a second number. Twice the first is 12 more than 4 times the second. Find the numbers.

Mathematics
1 answer:
tia_tia [17]3 years ago
6 0

Answer:

Step-by-step explanation:

"One number is eight less than a second number."

x = y-8

"Twice the first is 12 more than 4 times the second."

2x = 4y+12

substitution

2(y-8) = 4y + 12

2y - 16 = 4y + 12

2y = -28

y = -14

x = y-8 = -22

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The graph of y=x^2 - 2x- 3 is shown above. What are the zeros and factors of y=x^2 - 2x -3
Eduardwww [97]

Answer:

zeros -1,3  and the factors ( x+1) (x-3)

Step-by-step explanation:

The zeros are where it crosses the x axis

It crosses at x=-1 and x=3

So the factors are ( x- -1) and ( x-3)

                                ( x+1) (x-3)

3 0
4 years ago
Read 2 more answers
Suppose that Mudlark decides to sell 140 tickets for this flight. Assuming that all 140 tickets are sold and that the outcome fo
Julli [10]

This question is incomplete, the complete question is;

Lets consider a hypothetical airline, Mudlark Airlines. On one of its flight, previous records show that about 15% of people who had tickets for the flight did not take the flight. There are 120 seats on the plane.

Suppose that Mudlark decides to sell 140 tickets for this flight. Assuming that all 140 tickets are sold and that the outcome for each ticketholder is independent, how many ticketholders should the airline expect to show up

Answer: the airline should expect 119 ticketholders to show up

Step-by-step explanation:

Given that;

the plane contains 120 seats

Their records shows that 15% (0.15) percent of people who previously buy their flight tickets don't show up.

they sold 140 tickets,

Number of ticketholder expected to show up  = ?

Probability of showing up for flight will be;

⇒ 1 - 0.15 = 0.85

Now Expected number of ticketholders to shup will be;

⇒ 140 × 0.85

= 119

Therefore the airline should expect 119 ticketholders to show up

3 0
3 years ago
What is 1/9 divided by 8/7 please
LUCKY_DIMON [66]
The answer would be 7/72 when you simplify it
6 0
4 years ago
Let P(1,2,1), Q(1,0,-1), R(2,2,0) be the vertices of a parallelogram with adjacent sides PQ and PR. Find the other vertex S.
ladessa [460]

Given:

The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).

PQ and PR are the adjacent sides of the parallelogram.

To find:

The coordinates of vertex S.

Solution:

We know that, the diagonals of a parallelogram bisect each other.

Let the coordinates of the vertex S are (a,b,c).

In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.

\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{1+2}{2},\dfrac{0+2}{2},\dfrac{-1+0}{2}\right)

\left(\dfrac{1+a}{2},\dfrac{2+b}{2},\dfrac{1+c}{2}\right)=\left(\dfrac{3}{2},\dfrac{2}{2},\dfrac{-1}{2}\right)

On comparing both sides, we get

\dfrac{1+a}{2}=\dfrac{3}{2}

1+a=3

a=3-1

a=2

Similarly,

\dfrac{2+b}{2}=\dfrac{2}{2}

2+b=2

b=2-2

b=0

And,

\dfrac{1+c}{2}=\dfrac{-1}{2}

1+c=-1

c=-1-1

c=-2

Hence, the coordinates of vertex S are (2,0,-2).

4 0
3 years ago
A builder is using a blueprint that has a scale factor of 3 cm to 4 meters. If the length of the blue print measures 81 cm, how
viktelen [127]

Answer:

108 metres

Step-by-step explanation:

3cm=4m 1cm= 4/3m 81cm=4/3m×81=108m

8 0
3 years ago
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