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2 years ago

Solve the system of equations and choose the correct ordered pair 3x+5y=6 4x+2y=-6

Mathematics

1 answer:

kaheart [24]2 years ago

8 0

Answer: The answer is

x= -3

y= 3

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A coffee shop recently sold 20 drinks, including 8 mochas. Considering this data, how many of the next 95 drinks sold would you

Mandarinka [93]

Answer:

38 mochas

Step-by-step explanation:

Of the 20 drinks sold, 8 were mochas, so

8/20 = 0.4 = 40% of the drinks they sold were mochas.

If the sold 95 drinks, then 95(0.4) = 38 of them would be mochas if the proportion stays the same

7 0

3 years ago

If the initial point of a vector is (6, −5) and the terminal point is (2, −3), find the components of the vector. A) <−4, −8&

MissTica

Answer:

i honestly dont know this but im guessing its about 12th grade work.

4 0

4 years ago

Solve for x, y, and z

zloy xaker [14]

Answer:

The solution is x=1,y=2,z=3

Step-by-step explanation:

The given system of equations is ;\

2x−3y+4z=8...(1)

3x+4y−5z=−4...(2)

4x−5y+6z=12...(3)

Make x the subject in equation (1)

$x=\frac{8+3y-4z}{2}...(4)$

Put equation (4) into equation (2) and (3)

$3(\frac{8+3y-4z}{2})+4y-5z=-4$

Multiply through by;

$3(8+3y-4z)+8y-10z=-8$

Expand;

$24+9y-12z+8y-10z=-8$

Simplify;

$17y-22z=-32...(5)$

Equation (4) in (3)

$4(\frac{8+3y-4z}{2})-5y+6z=12$

$2(8+3y-4z)-5y+6z=12$

$16+6y-8z-5y+6z=12$

$y-2z=-4$

$y=2z-4...(6)$

Put equation (6) into equation (5)

$17(2z-4)-22z=-32$

$34z-68-22z=-32$

$34z-22z=-32+68$

$12z=36$

z=3

Put z=3 into equation (6)

y=2(3)-4=2

Put y=2 and z=3 into equation 4

$x=\frac{8+3(2)-4(3)}{2}=1$

The solution is x=1,y=2,z=3

3 0

3 years ago

This season, the probability that the Yankees will win a game is 0.57 and the probability that the Yankees will score 5 or more

NISA [10]

Answer:

Step-by-step explanation:

3 0

3 years ago

An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest cir

Serhud [2]

Answer:

The artist used $8.6\ in$ more of silver wire

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

The Perimeter of the square is equal to

$P=4a$

where

a is the length side of the square

$P=40\ in$

$40=4a$

$a=10\ in$

Each side of the square has a length of 10 in

step 2

Find the circumference of the circle

The diameter of the circle is equal to the length of the side of the square

The circumference is equal to

$C=\pi D$

we have

$D=10\ in$

substitute

$C=(3.14)(10)=31.4\ in$

step 3

Find the difference

$40\ in-31.4\ in=8.6\ in$

4 0

4 years ago