Answer:
The first box will have 90 marbles, the second 180 and the third 270.
Step-by-step explanation:
Division in a ratio of 1:2:3
1 + 2 + 3 = 6
So
The first box will have 1/6 of the marbles.
The second box will have 2/6 = 1/3 of the marbles
The third box will have 3/6 = 1/2 of the marbles.
First box:
One sixth, so:
(1/6)*540 = 540/6 = 90
Second box:
One third, so:
(1/3)*540 = 540/3 = 180
Third box:
One half, so:
(1/2)*540 = 540/2 = 270
The first box will have 90 marbles, the second 180 and the third 270.
Answer:
8 × 4.52 = 36.16
Step-by-step explanation:
We have given expression:
8 × 4.52
We have to find the product of expression.
8 × 4.52
8 × 4.52 = 36.16
36.16 is the product of the given expression.
We completed our question.
Given the equation:
(a) You can identify that the student applied the Subtraction Property of Equality by subtraction 3 from both sides of the equation:
However, the student made a mistake when adding the numbers on the right side.
Since you have two numbers with the same sign on the right side of the equation, you must add them, not subtract them and use the same sign in the result. Then, the steps to add them are:
- Add their Absolute values (their values without the negative sign).
- Write the sum with the negative sign.
Then:
(b) The correct procedure is:
1. Apply the Subtraction Property of Equality by subtracting 3 from both sides (as you did in the previous part):
2. Apply the Multiplication Property of Equality by multiplying both sides of the equation by 6:
Hence, the answers are:
(a) The student made a mistake by adding the numbers -18 and -3:
(b) The value of "x" should be:
Answer:
Intercept = - 3 ; slope = 18
Step-by-step explanation:
Given the points :
(3, 51) ; (5, 87)
x1 =3, y1 = 51, x2 = 5 ; y2 = 87
Slope intercept relation:
y = mx + c
m = slope ; c = intercept ; x and y are x, y vlayes respectively
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (87 - 51) / (5 - 3)
Slope = 36 / 2
Slope (m) = 18
The intercept c :
m = 18 ; x = 5 ; y = 87
Substitute values into the slope intercept formula :
87 = 18(5) + c
87 = 90 + c
c = 87 - 90
c = - 3
Intercept = - 3
