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2 years ago

Which ordered pair would form a proportional relationship with the point graphed below?

Mathematics

2 answers:

son4ous [18]2 years ago

5 0

Answer:

C (5,20)

Step-by-step explanation:

Passes through (0,0)

So y-intercept is 0

Slope: (40-0)/(10-0 = 4

y = 4x

20 = 4(5)

20 = 20

jolli1 [7]2 years ago

4 0

Answer:

(5, 20)

Step-by-step explanation:

We can find the slope of the line

m = (y2-y1)/(x2-x1)

= (40-0)/(10-0)

= 40/10

Since the line goes through (0,0) the y intercept is 0

y = mx+b

y = 4x

Lets check the points by substituting into the equation

40, 10) 10 = 4*40 10 =160 no

(–5, –10) -10 = 4*-5 10 = -20 no

(5, 20) 20 = 4*5 20 = 20 yes

(–10, –20) -20 = 4*-10 -20 = -40 no

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A contractor combined x tons of a gravel mixture that contained 10 percent gravel G, by weight, with y tons of a mixture that co

White raven [17]

Answer:

The value of x would be $\frac{3}{5}y$ or $\frac{3}{8}z$

Step-by-step explanation:

Given,

x tons of 10% gravel G mixture is mixed with y ton of 2% gravel G to obtain 5% gravel mixture,

Thus, gravel G in x ton + gravel in y ton = gravel G in the resultant mixture,

⇒ 0.1x + 0.02y = 0.05(x+y),

0.1x - 0.05x = 0.05y - 0.02y

0.05x = 0.03y

$\implies x = \frac{0.03}{0.05}y=\frac{3}{5}y----(1)$

Now, resultant mixture is z ton,

i.e. $z=x+y$

$\implies y = z - x$

From equation (1),

$x=\frac{3}{5}(z-x) = \frac{3}{5}z-\frac{3}{5}x$

$x+\frac{3}{5}x=\frac{3}{5}z$

$\frac{8}{5}x=\frac{3}{5}z$

$x=\frac{3}{8}z$

3 0

2 years ago

Graham paid $87.45 for a pair of jeans. This amount included a tax of 40%. What was the cost of the jeans before tax?

kiruha [24]

The final price is the cost plus the tax.

Since we know the tax and a percent, we can write this as

T = C(1+r)

T = what Graham paid = $87.45

C = cost before tax

r = tax rate expressed as a decimal = .40

Plugging in what we know

87.45 = C (1+.4)

87.45 = C(1.4)

Divide both sides by 1.4

C = $62.46

5 0

2 years ago

What is the solution set for z+10=z-2

photoshop1234 [79]

Answer: No Solution.

There are no values of z that make the equation true.

Step-by-step explanation:

5 0

2 years ago

When four times a number is decreased by 9, the result is 19. What is the number?

Novay_Z [31]

Answer:

Step-by-step explanation:

Working backwards:

19 + 9 = 28

28/ 4 = 7

Checking work:

7 x 4 = 28

28 - 9 = 19

8 0

1 year ago

Read 2 more answers

Find the point on the plane nearest to g 2x+5y+z=10 that is nearest (2,0,1)

mash [69]

A bc it makes the most sence

6 0

2 years ago