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3 years ago

Which ordered pair is a solution to the system of linear equations Negative 4 x + y = 8 and x minus 5 y = 17?

Mathematics

1 answer:

Zinaida [17]3 years ago

8 0

Answer:

(-3, -4).

Step-by-step explanation:

-4x + y = 8

x - 5y = 17 Multiply this by 4:

4x - 20y = 68 Add this to the first equation:

-19y = 76

y = 76/-19

y = -4.

Plug this into the second equation:

x - 5(-4) = 17

x = 17 - 20

x = -3.

CHECK this result in equation 1:

-4(-3) + -4 = 8

12 - 4 = 8

8 = 8 <------ OK.

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Una persona compra borregos, cabras y puercos jabalí. Son 100 animales vivos en total y paga $100 mil pesos. Cada borrego costó

Tasya [4]

Answer:

I'm sorry I just need points

Step-by-step explanation:

8 0

3 years ago

PLEASE HELP 20 POINTS PLEASE GIVE EXPLANTION

Georgia [21]

Answer:

300 in³

Step-by-step explanation:

To calculate the volume of a composite solid, simply split it into smaller solids and calculate their separate volumes. The volumes of each of the individual solids are then added together to give the total volume of the composite solid.

Remember, the formula for volume is: l • w • h

12(length) x 5 (width) = 60 x 3(height) = 180 in

5(width) x 8(length) = 40 x 3(height) = 120 in

Now, finally we add up the answers.

180 + 120 = 300 in³

(*Don't forget to cube³ your answer since it's Volume)

7 0

2 years ago

Point E is located at (−2,4) and point F is located at (5,10) . What are the coordinates of the point that partitions the direct

lina2011 [118]

Solution:

Coordinates of Point E and F are (-2,4) and (5,10).

Suppose the Point M(x,y), divides the Line Segment Joining E (-2,4) and F (5,10) in the 7:3 ratio.

So, EM: MF= 7:3

Formula for internal Division

$x=\frac{mx_{2}+nx_{1}}{m+n}, y=\frac{my_{2}+ny_{1}}{m+n}$

$x=\frac{3 \times (-2) +7 \times 5}{3 +7},\\\\ x=\frac{-6 +35}{10}\\\\x=\frac{29}{10}\\\\ y =\frac{3 \times 4 +7 \times 10}{3+7}\\\\ y=\frac{12+70}{10}\\\\ y=\frac{82}{10}$

So,we get

x= 2.9

and , y= 8.2

6 0

4 years ago

Using the slope formula, find the slope of the line through the given points. (7,4) and (5,6)

anyanavicka [17]

We can use the points (7, 4) and (5, 6) to solve.

Slope formula: y2-y1/x2-x1

= 6-4/5-7

= 2/-2

= -1

______

Best of Luck,

Wolfyy :)

4 0

4 years ago

NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. One hundred tickets

Elden [556K]

Answer:

The total number of ways the person holding ticket 47 wins one of the prizes = 941,094

Step-by-step explanation:

Given - One hundred tickets, numbered 1, 2, 3, . . . , 100, are sold to 100 different people for a drawing. Four different prizes are awarded, including a grand prize (a trip to Tahiti).

To find - How many ways are there to award the prizes if it satisfies the given conditions. The person holding ticket 47 wins one of the prizes.

Proof -

The order of selection is important because 1st selection is grand prize , 2nd selection is second prize and so on . So , we use permutation for this question

Now,

As The person holding ticket 47 wins one of the prizes and other 3 prizes are also given to the remaining 99 persons who got chosen

So,

The number of ways = 1* ⁹⁹P₃

= $\frac{99!}{(99-3)!}$

= $\frac{99!}{96!}$

= $\frac{99*98*97*96!}{96}$

= 99*98*97

= 941,094

∴ we get

Total number of ways the person holding ticket 47 wins one of the prizes = 941,094

7 0

3 years ago