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Dima020 [189]
3 years ago
12

The graph of a proportional relationship passes through (12,16) and (1,y). find y​

Mathematics
1 answer:
anastassius [24]3 years ago
4 0

Answer:

4/3

Step-by-step explanation:

A proportional relationship is a relationship that crosses through the origin or (0,0). This means the slope of the line can be found by subtracting the points (12,16) and (0,0) in the slope formula.

m = \frac{y_2-y_1}{x_2-x_1} =\frac{16-0}{12-0}= \frac{16}{12}=\frac{4}{3}

So the slope is 4/3 and must be the value between any two points on the line.

This means the function moves from (0,0) to (1, 4/3).

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Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from the ticket
tresset_1 [31]

Answer:

x≥48

Step-by-step explanation:

4×40 = 160

400-160 = 240

240÷5 = 48

6 0
3 years ago
Raziel walks 3 m north, 5 m east, 3 m south, and 5 m west. What is the total distance Raziel traveled? (Include
blsea [12.9K]

Answer:

16 metres

Step-by-step explanation:

You're finding the perimetre of this rectangle, so have to add each side together to find the total distance he traveled (the perimetre of the rectangle, since he travelled in a rectangle).

3*2 is 6,

5*2 is 10

10 + 6 is 16.

Have a wonderful day, my friend.

4 0
3 years ago
Find the ratio a:c if <br>a:b = 1:2, b:d = 4:5, d:c = 3:1<br>​
Makovka662 [10]

Answer:

a : c = 6 : 5

Step-by-step explanation:

Expressing the ratios in fractional form, then

\frac{a}{c} = \frac{a}{b} × \frac{b}{d} × \frac{d}{c} = \frac{1}{2} × \frac{4}{5} × \frac{3}{1} = \frac{12}{10} = \frac{6}{5}

Thus a : c = 6 : 5

3 0
3 years ago
If there are 205 students in the school, which is the best estimate of the number of students that are in the 5th grade?
Mila [183]

Answer:

34 people

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP.
pentagon [3]

Let x represent the number of shirts. Let y represent the number of pens.

If shirts are on sale for $11.99 each, then x shirts cost $11.99x.

If pants are on sale for $12.99 each, then y pants cost $12.99y.

The total cost is $(11.99x+12.99y).

Sarah can spend up to $65. Then an inequality that represents this situation is

11.99x+12.99y≤65 (this inequality holds when Sarah can spend $65 too)

or

11.99x+12.99y<65 (this inequality holds when Sarah can spend less than $65).

3 0
3 years ago
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