This area model represents the product of 27 and another number. What is the
1 answer:
Answer:
The other number is 25
See explanation below
Step-by-step explanation:
The question is incomplete. Since we were not given the area or the answer to the multiplication of the two numbers, I would show you how to multiply two 2-digit numbers using the area model.
Let's assume we want to find the area model of 27 and 25.
We would write the multiplicands(the two digit numbers) in expanded form as tens and ones.
So, 27 becomes 20 and 7
25 becomes 20 and 5.
Then draw a box that is 2 by 2 grid ( 2 rows and 2 columns)
Then multiply the 1st column by the 1st row, 2nd column by 2nd row. Afterwards sum the values obtained together.
For the question: 25×27
20×20, 20×5, 20×7, 5÷7
400, 100, 140, 35
Their sum = 400 + 100+ 140 +35
= 675
See attachment for diagram.
In this question only one of the numbers is given. The area of the two numbers wasn't given.
Assuming the area of the two numbers was given and one if the numbers was also given, we would apply area model of division.
Example: Area of the both numbers = 675, the other number given = 27. Find the other number.
The area model of solving division is gotten from finding the area of a rectangle.
Since Area of a rectangle = Length × Width
Then the the value of length would be greater than value of breadth.
675÷27 = 25
So break it down to 20 and 5. Hence You divide first by 20 in first column. Then divide the remainder (135) by 5 in second column.
See diagram for explanation
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Answer:
B
Step-by-step explanation:
A. these simply to 21 + 7x and 21 + 3x
- this one is incorrect because the 7x and 3x are different
B. these simplify to 10 + x and 10 + x
- this is the correct one since they are exactly the same
C. these simplify to 21x and 7x + 21
- these two are not the same because one expression has only a number with a variable but the other one has a number with a variable <em>and </em>another number
D. these simplify to and
- in subtraction, the order of the 3 and the x matters, so the equations are not the same
- example: 6 - 4 = 2 but 4 - 6 = -2
Answer:
1. 6 feet
2. 6.25 feet
3. 1 feet
4. 6 feet
Step-by-step explanation:
The equation is :
1. The diving board is where Kendra dives off. Here, the horizontal distance, x from the diving board is 0.
So, substituting x = 0 in the equation, we get
So, the diving board is 6 feet above the surface of the water.
2. From the equation, we known that it is a parabola and the vertex is minimum.
It is the minimum height which represents the depth Kendra dives into the water.
So the coordinate of the vertex is =
Here, a and b are the coefficients of linear term and the quadratic terms in the equation. Therefore,
a = 1 and b = -7
∴ x coordinate =
Now substituting to find f(x),
= -6.25
Therefore, the diver dives 6.25 feet below the water surface.
3. The horizontal distance from the board the diver enters into the water.
This is the y-intercept and it is the value of x when h(x)=0.
∴
Factorizing, we get
∴
So there are two solutions that are the two x intercepts of the function. Here at x = 1 shows the horizontal distance from the board from where Kendra dives into the water.
4. We know that the equation given has x intercepts. These two x intercepts are the points where the parabola crosses the x-axis, which is the height
. The height is the water surface level.
The first x intercept represents the points where Kendra dives into the water.
And the second x intercept is the point where Kendra comes out of the water surface. This this is for
.
Thus Kendra dives out of the water surface at 6 feet from the board.