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Helen [10]
3 years ago
8

1/2x+1/3y=7,1/4x+2/3y=6

Mathematics
2 answers:
Elena-2011 [213]3 years ago
5 0

A is the answer (1/16,14)


mel-nik [20]3 years ago
5 0
We can see that 1/3 times 2=2/3
we can cancel the y terms

multily first equation by -2 and add to 2nd

-x-2/3y=-14
<u>1/4x+2/3y=6 +</u>
-3/4x+0y=-8

-3/4x=-8
times both sides by -4
3x=32
divide both sides by 3
x=32/3

sub back

1/2x+1/3y=7
1/2(32/3)+1/3y=7
16/3+1/3y=7
times 3 both sides
16+y=21
minus 16 both sides
y=5


(32/3,5)
(10 and 2/3,50

C is answer
an easier way would be to get rid of the fractions by multiplying the first equation by 6 and 2nd one by 12 but oh well

C is the answer
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Can somebody who knows how to do probability please help answer these questions correctly? Thanks! (Btw the P= probability)
stira [4]

Answer:

P(2): 1/5

P(4): 1/5

P(odd number): 3/5

P(whole number): 5/5

P(6): 0/5

P(2 or 3): 2/5

Step-by-step explanation:

There are 5 <em>equal </em>sections in this circle. So, the probability to land in each section is 1/5.

The odd numbers are 1, 3, and 5. Since each section is 1/5, you add

1/5 + 1/5 + 1/5 = 3/5. That is the probability that you will land in any odd number.

Because all the numbers listed are whole numbers, no matter where the spinner lands it will be a whole number. So, the probability is 5/5 for whole numbers.

Since 6 is not a section, it's probability will be 0/5 (or you can just put 0).

"Or" means you add the two probabilities. Add the probability of landing on 3 (which is 1/5) to the probability of landing on 2 (which is also 1/5). So, you get 2/5.

6 0
3 years ago
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Could someone help
zhenek [66]
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7 0
2 years ago
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Reasoning point F lies on EG and point M lies on EN. If F,E, and M are collinear, what must be true of these rays.
almond37 [142]
This means that all of the points are co-linear. This is because if EG is a segment that contains F, and EN is a segment that contains M, then there can be two different segments. However, for a point F on the first segment and a point M on a second segment be in the same line as an end point of one of the segments, the segments have to be co-linear. They overlap. 
6 0
3 years ago
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Simplify the expression below:<br> 4(n-3) - 2(-3 + x)
Margarita [4]

Answer:

4n-2x-6

Step-by-step explanation:

Let's simplify step-by-step.

4(n−3)−2(−3+x)

Distribute:

=(4)(n)+(4)(−3)+(−2)(−3)+(−2)(x)

=4n+−12+6+−2x

Combine Like Terms:

=4n+−12+6+−2x

=(4n)+(−2x)+(−12+6)

=4n+−2x+−6

Answer:

=4n−2x−6

4 0
3 years ago
A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole. The pole is 48 ft tall. W
Irina-Kira [14]

Answer:

73 feet.

Step-by-step explanation:

Given:

A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole.

The pole is 48 ft tall.

Question asked:

What is the length of the rope?

Solution:

Here we found that a right angle triangle is formed in which base and height is given <u>as shown in the figure, </u>we have to find the longest side of the triangle,

Base = 55 feet

Height = 48 feet

Length of the rope = ?

By Pythagoras theorem:

Square of longest side = Square of base + Square of height

               (Longest\  side)^{2} =  55^{2} +48^{2}

                (Longest\  side)^{2} =  3025+2304

               (Longest\  side)^{2} =  5329

                 Taking root both side

            \sqrt[2]{(Longest\ side)^{2} } =\sqrt[2]{5329}

                Longest\  side =  73

Thus, length of the rope is 73 feet.

                                     

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5 0
3 years ago
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