Using distributive property solve 4x39=n
Patti is using mental math to evaluate the expression (70+12.8+30)+6.1. She recognizes that the expression will be easier to simplify if she can combined 70 and 30 before she works with other numbers. How do the properties of operation allow pattie to take that approach?
Answer: Explanation is given below.
Step-by-step explanation: Given that Patti is using mental mathematics to evaluate the expression (70+12.8+30)+6.1 and recognises that it will be easier to simplify if she can combined 70 and 30 in the beginning. We are to explain the way in which the properties of operation allow Patti to take that approach.
We will be using the following associative property of real numbers:
[tex](a+b+c)+d=(a+c)+(b+d).[/tex]
Therefore, the simplification is as follows:
[tex](70+12.8+30)+6.1\\\\=(70+30)+(12.8+6.1)\\\\=100+18.9\\\\=118.9.[/tex]
Hence explained.
Answer:
She can use the commutative property to rewrite the expression as (70 + 30 + 12.8) + 6.1
( D )
Henry bought a movie tickets for himself and 6 of his friends.each movie ticket cost $7.85.How much money did Henry spend on tickets?
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Pat has nine cards. Frank has two more cards than Steve. Steve has 3 cards how many more cards does Pat have than Frank?
Based on the information given, Pat has 4 more cards than Frank.
The number of cards that Pat has = 9 cards
Number of cards that Steve has = 3 cards
Since Frank has two more cards than Steve, the total number of cards that Frank has will be: = 3 + 2 = 5
In order to know the number of cards that Pat has more than Frank, we will have to calculate the difference between the cards that they've. This will be:
= Pat's card - Frank's card
= 9 - 5
= 4
Therefore, Pat has 4 more cards than Frank.
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A ball always bounces to 3/5 of the height from which it falls. It falls from a height of 1meter how high will it rise after the second bounce?
After the second bounce, the ball will rise to a height of 0.36 meter.
Explanation:To find the height the ball will rise after the second bounce, we can use the given information that the ball always bounces to 3/5 of the height from which it falls. In this case, the ball falls from a height of 1 meter.
For the first bounce, the ball rises to 3/5 of 1 meter, which is 0.6 meter. For the second bounce, the ball will rise to 3/5 of 0.6 meter. To calculate this, we multiply 3/5 by 0.6 meter, which gives us 0.36 meter.
Therefore, after the second bounce, the ball will rise to a height of 0.36 meter.
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Matt needs to sell approximately 28 books to make $30 for the week.
To find the number of books Matt needs to sell to make $30 for the week, we need to use the given information that Matt gets $6 for selling 9 books and $9 for selling 11 books.
Let's first find the amount of money Matt makes for each book:
For 9 books, Matt makes $6, so he makes $\frac{6}{9} = \frac{2}{3}$ dollars per book.
For 11 books, Matt makes $9, so he makes $\frac{9}{11}$ dollars per book.
Now, we can set up an equation to find the number of books Matt needs to sell to make $30:
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The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the garden.
Set the following: Length = L Width = W
The length is twice the width: L = 2*W or: W = L/2
Perimeter: P = 60ft = 2*L + 2*W
Substituting L for W in the perimeter equation gives:
P = 60ft = 2*L + 2*(L/2) = 2*L + L = 3L
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Verify result: Perimeter= P = 60ft = 2L + 2W = 2*20ft +2*10ft = 40ft+20ft = 60ft
The area of the rectangular is: Area = A = Length*Width = L*W = 20ft*10ft = 200 (ft)^2
Hopefully This Helps!!
Final answer:
To find the area of a rectangle when the perimeter is given, determine the dimensions using the relationship between length and width and then calculate the area. In this case, the area of the garden is 200 square units.
Explanation:
The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the garden.
Let the width of the rectangle be x. Therefore, the length is 2x.
The perimeter of a rectangle is given by 2(length + width), which in this case is 2(2x + x) = 60 units.
Solving for x, we get x = 10. Therefore, the width is 10 units and the length is 20 units. The area of the garden is length x width = 20 x 10 = 200 square units.
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