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Ilya [14]
2 years ago
5

Please help me anyone I need help with this question ​

Mathematics
1 answer:
Leto [7]2 years ago
7 0

Answer:

  (d)  2x +y = 8

Step-by-step explanation:

The answer choices are shown in "standard form," so the comparison to the given equation is easier if it is written in standard form. Add 2x to both sides:

  2x +y = 5 . . . . . . given equation in standard form

The other equation in a system with no solution will look like this, but will have a different constant:

  2x +y = 8 . . . . . . does not intersect the given equation

_____

<em>Additional comment</em>

All of the other equations shown will intersect the given equation. One way to show this is to use the given equation to substitute for y in the answer choices:

  a: 2x -(-2x+5) = 8   ⇒   6x -5 = 8 . . . one solution: x=13/6

  b: x +2(-2x+5) = 8   ⇒   -3x +10 = 8 . . . one solution: x=2/3

  c: x -2(-2x+5) = 8   ⇒   5x -10 = 8 . . . one solution: x=18/5

  d: 2x +(-2x+5) = 8   ⇒   5 = 8 . . . no solution

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among a group of students 50 played cricket 50 played hockey and 40 played volleyball. 15 played both cricket and hockey 20 play
kondaur [170]

Answer:

Cricket only= 30

Volleyball only = 15

Hockey only = 25

Explanation:

Number of students that play cricket= n(C)

Number of students that play hockey= n(H)

Number of students that play volleyball = n(V)

From the question, we have that;

n(C) = 50, n(H) = 50, n(V) = 40

Number of students that play cricket and hockey= n(C∩H)

Number of students that play hockey and volleyball= n(H∩V)

Number of students that play cricket and volleyball = n(C∩V)

Number of students that play all three games= n(C∩H∩V)

From the question; we have,

n(C∩H) = 15

n(H∩V) = 20

n(C∩V) = 15

n(C∩H∩V) = 10

Therefore, number of students that play at least one game

n(CᴜHᴜV) = n(C) + n(H) + n(V) – n(C∩H) – n(H∩V) – n(C∩V) + n(C∩H∩V)

= 50 + 50 + 40 – 15 – 20 – 15 + 10

Thus, total number of students n(U)= 100.

Note;n(U)= the universal set

Let a = number of people who played cricket and volleyball only.

Let b = number of people who played cricket and hockey only.

Let c = number of people who played hockey and volleyball only.

Let d = number of people who played all three games.

This implies that,

d = n (CnHnV) = 10

n(CnV) = a + d = 15

n(CnH) = b + d = 15

n(HnV) = c + d = 20

Hence,

a = 15 – 10 = 5

b = 15 – 10 = 5

c = 20 – 10 = 10

Therefore;

For number of students that play cricket only;

n(C) – [a + b + d] = 50 – (5 + 5 + 10) = 30

For number of students that play hockey only

n(H) – [b + c + d] = 50 – ( 5 + 10 + 10) = 25

For number of students that play volleyball only

n(V) – [a + c + d] = 40 – (10 + 5 + 10) = 15

3 0
3 years ago
6r + 7 = 13 + 7r<br> what is r?
lubasha [3.4K]

Answer:

6r + 7 = 13 + 7r

subtract 6r from both sides...

7 = 13 + r

subtract 13 from both sides...

-6 = r

r = -6

Step-by-step explanation:

3 0
3 years ago
Write the equation if the line that passes through (4,5) and has a slope of m=3
andrew11 [14]

Answer:

y = 3x - 7

Step-by-step explanation:

The <em>point-slope formula</em> for a straight line is

y – y₁ = m(x – x₁)

x₁ = 4; y₁ = 5; m = 3     Substitute the values

y – 5 = 3(x - 4)             Remove parentheses

y – 5 = 3x - 12             Add 5 to each side

     y = 3x - 7

The graph is a straight line with a y-intercept at y = -7 and a slope = 12/4 = 3.

6 0
3 years ago
A salesman will earn a commission of 1/10 of the total amount sold.if he sells a car with a price of 24,000 what is his commissi
nydimaria [60]

Answer:

Step-by-step explanation:

1/10=0.1

if the total sales is  26,000

the commission will be 26,000*0.1=2,600 dollars

3 0
3 years ago
Donte scored 55 on his mastery exam. What percent did Donte score?
masha68 [24]

Answer: See explanation

Step-by-step explanation:

Your question isn't complete. First and foremost, to be able to solve this, we need to know the total marks of the examination.

Let's assume that the total marks for the exam is 80. Since Donte scored 55 on his mastery exam, the percent that he score will be:

= 55/80 × 100

= 68.75%

6 0
3 years ago
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