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timurjin [86]
3 years ago
11

You bought 3 shirts for $12. How much would 5 shirts cost?

Mathematics
2 answers:
sdas [7]3 years ago
8 0

Answer:

20

Step-by-step explanation:

3/12=4

4x5=20

wooooow

andriy [413]3 years ago
5 0

Answer:

$20

Step-by-step explanation:

12/3 = 4

That means each shirt is 4 dollars.

5×4 = 20

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Without drawing the graph, find out whether the lines representing the following pair of linear equations intersect at a point,
Rainbow [258]

The easiest way to solve this question is to write out both equations in the form y = mx + c, where m is the gradient and c is the y-intercept.

a) Thus, if we start with 9x - 10y = 21, then we get:

9x - 10y = 21

(9/10)x - y = 21/10 (Divide both sides by 10)

(9/10)x = y + 21/10 (Add y to both sides)

(9/10)x - 21/10 = y (Subtract 21/10 from both sides)

Thus, our first equation may be written as y = (9/10)x - 21/10

b) Now if we take the second equation, (3/2)x - (5/3)y = 7/2, we can follow the same process to get:

(3/2)x - (5/3)y = 7/2

(9/10)x - y = 21/10 (Multiply each side by 3/5)

(9/10)x = y + 21/10 (Add y to each side)

(9/10)x - 21/10 = y (Subtract 21/10 both sides)

Thus, the second equation may be written as y = (9/10)x - 21/10.

Now you might have already realised this but the two equations are actually exactly the same; if they are the same line then they are said to be coincident.

Note that if the two lines are parallel, then their gradients (m) would be the same, but the y-intercepts (c) would be different (eg. y = 2x + 3 and y = 2x + 4 are parallel).

If they just intersect at a point, then the gradients of the lines would be different, but the y-intercepts could be the same or different (eg. y = 4x + 2 and y = 9x + 2 intersect at one point).

For them to be coincident however, both the gradient and y-intercept must be the same as only then would they be the same line.

6 0
3 years ago
A line passes through the points
murzikaleks [220]

Answer:

Step-by-step explanation:

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

From the information given,

y2 = - a

y1 = a

x2 = 0

x1 = 0

Slope = (- a - a)/0-0 = -2a/0 = 0

2) equation of the line is represented in the slope intercept form as y = mx + c

Where

m = slope

c = intercept.

To determine c, we would substitute y = a, x = p and m = 0 into y= mx + c. It becomes

a = 0×p + c

c = a

The equation becomes

y = a

3) y intercept,c = a

4) the slope of a line perpendicular to the given line is a negative reciprocal of the slope of the given line. Therefore,

Slope = - 0 = 0

7 0
3 years ago
Which statements must be true regarding the diagram?
Juli2301 [7.4K]
The answer is B , C , and D, & E
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2 years ago
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vagabundo [1.1K]
A is the answer trust me 
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3 years ago
15 - (7 - 6)4 * 4 + 9
Naddik [55]

Answer:

8 is your answer. good luck on your test

3 0
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