I need help on these 3 questions please!

12 grapes cost 90 $how many can bought in 40$

likoan [24]

Let x = the amount of grapes that can be bought for 0.40.

Note: By 90 I assume you mean 90 cents. The same for 40.

12/x = 0.90/0.40

0.90x = 12(0.40)

0.90x = 4.80

x = 4.80 ÷ 0.90

x = 5.33333

We can round the decimal to the ones place to get 5 grapes.

4 0

3 years ago

Read 2 more answers

Which of these function has a greater rate of change than the function graphed bean why

Marrrta [24]

Answer:

The 2nd option is correct.

i.e.

y = 10+1, because the rate of change of the graphed function is 3.

Step-by-step explanation:

From the graph,

Taking two points

(0, 0)

(3, 9)

Finding the rate of change or slope between (0, 0) and (3, 9)

Using the formula

Rate of change = Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [9 - 0] / [3 - 0]

= 9 / 1

= 3

Thus, the rate of change or slope of the line = m = 3

The slope-intercept form of the line equation

$y = mx+b$

where

m is the rate of change or slope

b is the y-intercept

Considering the function in 2nd option

y = 10x+1

Comparing with the slope-intercept form of the line equation y = mx+b

The rate of change or slope = m = 10

Conclusion:

The rate of change or slope of the graphed line: m = 3

The rate of change or slope of y = 10x+1 is: m = 10

Thus, the rate of change of y = 10x+1 i.e. m = 10 is greater than the rate of change of the graphed line i.e. m = 3.

Hence, the 2nd option is correct.

i.e.

y = 10+1, because the rate of change of the graphed function is 3.

4 0

2 years ago

The sum of positive integers x and y is 246, and x/y = 5. What is the value of y?

Kobotan [32]

X=205 y=41 You come across these answers by making an equation or system of equations based on the word problem given. 1. x+y=246 and 2. x÷y=5 . The you would multiply by y on both sides and get x=5y . Then you would substitute for x in the first equation and get (5y)+y=246 . Then you would get 6y=246 . Them you would divide by 6 on both sides and get y=246÷6 . Then you would get y=41. Then you would plug the y value into the first equation. You would get that x+(41)= 246, subtract on both sides and get x=246-41, then you would get an answer of x=205.

4 0

3 years ago

What is the solution to StartFraction 5 over 6 EndFraction x minus one-third greater-than 1 and one-third?

Vikentia [17]

Answer:

The correct answer is x > 2.

Step-by-step explanation:

$\dfrac{5}{6} x - \dfrac{1}{3} > 1\dfrac{1}{3}$

An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to ( $\geq$ ) or less than equal to ( $\leq$ ) signs. We solve the above given inequality to find the solutions of the unknown x.

$\dfrac{5}{6} x - \dfrac{1}{3} > 1\dfrac{1}{3} \\\dfrac{5}{6} x - \dfrac{1}{3} > \dfrac{4}{3} \\\dfrac{5}{6} x > \dfrac{1}{3} + \dfrac{4}{3} \\\dfrac{5}{6} x > \dfrac{5}{3}\\x > 2$

Firstly we change the right hand side quantity to fraction.

We then transfer the - $\frac{1}{3}$ to the right hand side and add them. The inequality sign does not change as we are simply adding or subtracting terms from both the ends.

Finally we divide both sides with $\frac{6}{5}$ to get the required solution. The inequality sign does not change as we are multiplying both the ends with a positive quantity.