1. Eyeballing the data, the best fit will be pretty close to a line between the leftmost point and the rightmost point.
We estimate those points as (4,220) and (28,470)
The point point form for a line joining (a,b) and (c,d) is
(c-a)(y-b) = (d-b)(x-a)
(28 - 4)(y - 220) = (470 - 220)(x - 4)
24(y - 220) = 250(x-4)
24y - 5280 = 250x - 1000
24y = 250 x + 4280
y = (250/24) x+ (4280/24)
Approximately that's,
y = 10.4 x + 178
Answer: 4th choice, 10.4x + 180
2. For 48 wheelbarrows,
y = 10.4(48)+180 = 679.2
Answer: 679.2 liters of sand
Hey there! :)
To find an equation of a line that passes through (5, 1) and has a slope of 2, we'll need to plug our known variables into the slope-intercept equation.
Slope-intercept equation : y = mx + b ; where m=slope, b=y-intercept
Since we're already given the slope, all we really need to do is find the y-intercept.
We can do this by plugging our known values into the slope-intercept equation.
y = mx + b
Since we're trying to find "b," we need to plug in "y, m, x" into our formula.
(1) = (2)(5) + b
Simplify.
1 = 10 + b
Subtract 10 from both sides.
1 - 10 = b
Simplify.
-9 = b
So, our y-intercept is 9!
Now, we can very simply plug our known values into slope-intercept form.
y = mx + b
y = 2x - 9 → final answer
~Hope I helped!~
Since each square will have an area of 4 cm^2 because they are congruent, then let’s find the side length of them.
Square root of 4 is two
Each side is 2 cm. Since the unshaded triangle has 3 on the base and height, then it is same to assume that the triangle has a base of 6 cm (2 * 3) and a height of 6 cm.
The formula of the area of a triangle is:
1/2 ( base times height)
Let’s plug in some values
1/2(6 * 6)
Multiply
1/2 (36)
Divide
18
Since the triangles are also congruent, then the shaded side has the same area.
The shaded triangle has an area of 8 cm ^2
Answer:
1000, 2000, 3000, .... etc are the 4-digit numbers which when divided by 1000, give whole number answer.
Step-by-step explanation:
Scott divides some 4- digit numbers by 1000 and his answer is a decimal every time.
From this Scott has concluded that if you divide a 4-digit number by 1000, then the answer will never be a whole number.
I think Scott is wrong and the reason is that if we try to divide those 4-digit numbers which are multiples of 1000, i.e. 1000, 2000, 3000, 4000, ... etc. with 1000 then only you will get a whole number answer. (Answer)
