The dimensions of a rectangle are dilated using a scale factor of 3. If the old area is 75 sq. Ft. What is the area of the new rectangle
Answers
Answer:
225 sq. Ft
Step-by-step explanation:
Key words in the question;
Dilated - This means increased pr expanded
Scale factor of 3 - This basically means multiplied by 3
Old square = 75 sq. Ft
This means;
New are = Old area * 3
New area = 75 * 3 = 225 sq. Ft
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Jordan uses a linear equation to model the data in a table. Which reasoning might Jordan have used in the decision to model the data with a linear equation?The products of corresponding x- and y-values are equal. The ratios of consecutive y-values are equal for evenly spaced x-values. The change in y-values is not constant, but the change is constant for evenly spaced x-values. The change in y-values is constant for evenly spaced x-values.
Answers
Answers
Let's say x represents the number of care packages.
We can set up the proportion:
8/240 = x/500
To solve for x, we can cross-multiply and then divide:
240x = 8 * 500
240x = 4000
x = 4000/240
x ≈ 16.67
Since we cannot have a fraction of a care package, we round down to the nearest whole number.
Therefore, Alicia's class can make approximately 16 care packages with 500 food items.
The answer is option b) 16.
(hopefully everything is correct! let me know if anything is off!)
Final answer:
Alicia's class can make 16 care packages with 500 food items.
Explanation:
To find out how many care packages Alicia's class can make with 500 food items, we can set up a proportion using the given information. The proportion is:
8 care packages / 240 food items = x care packages / 500 food items
Cross multiplying, we get:
240x = 8 * 500
x = (8 * 500) / 240
x = 16.67
Since we can't make a fraction of a care package, we round down to the nearest whole number. Therefore, Alicia's class can make 16 care packages with 500 food items.
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Answers
The number of squares in a 2 by 3 rectangle is 8 by counting squares in the figure. In total, there are 8 squares.
Given that 2 by 3 rectangle contains 8 squares.
To understand why there are 8 squares in a 2 by 3 rectangle, let's break it down. A square can be formed by using any side of the rectangle as its base. In a 2 by 3 rectangle, there are 2 rows and 3 columns. We can consider each row and column as the side length of a square.
Starting with the smaller squares, we have four 1 by 1 square. These squares are formed by taking each cell of the rectangle as a base. Next, we have two 2 by 2 squares, one in the top left and one in the bottom right corner. These squares are formed by taking the top left and bottom right 2 by 2 cells as their bases.
Finally, there are two larger squares that can be formed in a 2 by 3 rectangle. One is a 2 by 3 square that occupies the entire rectangle. The other is a 3 by 3 square, formed by taking the top three cells of the first column and the bottom three cells of the second column as its bases.
So, in total, there are 8 squares that can be formed within a 2 by 3 rectangle.
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Step-by-step explanation:
154°
64°
90°
Answers
Answer:
The other acute angle is 64°
Step-by-step explanation:
Given a right triangle in which the measure of one acute angle is 26°
we have to find the measure of the other acute angle.
Let the required acute angle is x
By angle sum property, the sum of all angles of triangle is 180°
Hence, the other acute angle is 64°
180-90-26
=64
Answers
2: 3 n minus 5
3: 6 n minus 28
4: 19 minus StartFraction 28 Over n EndFraction
Answers
Answer:
is the expression with the value of 15 when n = 7
Step-by-step explanation:
To find the expression whose value is 15, substitute the value of n = 7 in each given expression.
Expression 1:
Substitute the value of n & simplify,
Since the value of the expression is 8 which is not equal 15.
Hence expression does not have value of 15 when n = 7.
Expression 2:
Substituting the value of n & simplify,
Since the value of the expression is 16 which is not equal 15.
Hence expression does not have value of 15 when n = 7.
Expression 3:
Substituting the value of n & simplify,
Since the value of the expression is 14 which is not equal 15.
Hence expression does not have value of 15 when n = 7.
Expression 4:
Substituting the value of n & simplify,
Since the value of the expression is 15 which is equal 15.
Hence expression has the value of 15 when n = 7.