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lana66690 [7]
2 years ago
12

What is the y-coordinate for the solution to the system of equations? {y=1/2x−4 {y=−2x+1

Mathematics
1 answer:
katovenus [111]2 years ago
6 0

Answer:

y = -3

Step-by-step explanation:

{y = x/2 - 4

y = 1 - 2 x

Substitute y = x/2 - 4 into the second equation:

{y = x/2 - 4

x/2 - 4 = 1 - 2 x

In the second equation, look to solve for x:

{y = x/2 - 4

x/2 - 4 = 1 - 2 x

Add 2 x + 4 to both sides:

{y = x/2 - 4

(5 x)/2 = 5

Multiply both sides by 2/5:

{y = x/2 - 4

x = 2

Substitute x = 2 into the first equation:

{y = -3

x = 2

Collect results in alphabetical order:

Answer:

{x = 2

y = -3

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A school allots £3000 to spend on a trip to the theatre. Theatre tickets have a regular cost of £40 each and are on offer for 1
Bumek [7]

Answer:

£36

Step-by-step explanation:

From the question, we are told that School allots £3000 to spend on a trip to the theatre. With regular cost of tickets of £40 each with offer for 1/5 off

Then the cost of each ticket with 1/5 off= (4/5×40)= £32

From the question, A train ticket for the day will cost £20 each.

Then total cost for each of it = £32+£20

=£52

To determine how much money that the school will have left over, If 3 teachers and the maximum number of students attend, can be expressed below by first calculating the number of students.

Let us denote the number of students as "x"

52(x+3)= < 3000

52x + 156 =< 3000

52x =< 3000 - 156

52x =< 2844

X =< 2844/52

s =< 54.69,

The max. Number of students is 54

Total number of people= Number of students + the 3 teachers

= 54+3= 57

Total cost for 57 people= (£52 × 57 people)= £2964

The amount of money the school will have as left over = (£3000 - £2964)

= £36

8 0
2 years ago
Madison has test scores of 93, 82, 86, and 75. What is the mean?<br> answer as fast a possible
rusak2 [61]

Answer:

Mean is 84

Step-by-step explanation:

6 0
3 years ago
Which statement correctly finds the interquartile range for the set of data represented by the box plot?
gizmo_the_mogwai [7]

Answer:

<em>B. 11 - 6 = 5</em>

Step-by-step explanation:

Median: 9.5

Lower Quartile: 6

Upper Quartile: 11

Interquartile Range: upper quartile - lower quartile = answer

6 0
3 years ago
What is the constant of variation if y varies inversely as x and y = 3 when x = 6? PLZ HELP ME I DONT UNDERSTAND
mojhsa [17]

Answer:

k = 18

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition y = 3 when x = 6, that is

3 = \frac{k}{6} ( multiply both sides by 6 )

18 = k

The constant of variation is k = 18

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3 years ago
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atroni [7]
4(9+7-9)
the nines cancel
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3 0
3 years ago
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