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Cloud [144]
3 years ago
11

A picture framer has a board 10 1/12 feet long. The framer notices that 2 3/8 feet of the board is scratched and cannot be used.

The rest of the board will be used to make small picture frames. Each picture frame needs 1 2/3 feet of the board. At most, how many complete picture frames can be made?
Mathematics
1 answer:
Leni [432]3 years ago
4 0
(10 1/12 - 2 3/8) / (1 2/3) =
(121/12 - 19/8) / (5/3) =
(242/24 - 57/24) / (5/3) =
(185/24) / (5/3) =
185/24 * 3/5 =
185/40 =
4.625......so, at most, 4 picture frames can be made
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A pattern has 3 blue triangles to every 24
NARA [144]

Answer:

<u>It</u><u> </u><u>is</u><u> </u><u>3</u><u> </u><u>:</u><u> </u><u>2</u><u>7</u>

Step-by-step explanation:

Ratio of blue to yellow = 3:24

{ \sf{total \: ratio = 24 + 3 = 27}}

ratio of blue to all triangles:

=  3 : 27

5 0
3 years ago
HELP ASAP INCLUDE WORK I WILL MARK BRAINLIEST
Troyanec [42]
Step 1 is to find how far apart W and Y are:
-7 - (-31) = 24

Now find 1/8 of that distance: 1/8 • 24 = 3

Now move 3 units from -31 towards -7: -31 + 3 = -28
3 0
3 years ago
B) Which one of the following points lies on the line 2y = 5x - 3?
sergeinik [125]
Given the equation 2y = 5x - 3:

A way to find out which of the ordered pair options lie on the line is to substitute their coordinates into the equation.


A) (2, 5)
2y = 5x - 3
2(5) = 5(2) - 3
10 = 10 - 3
10 = 7 (False statement). this means that (2, 5) is not a solution to the given equation.

B) (6, 3)
2y = 5x - 3
2(3) = 5(6) - 3
6 = 30 - 3
6 = 27 (False statement). this means that (6, 3) is not a solution to the given equation.

C) (3, -6)
2y = 5x - 3
2(-6) = 5(3) - 3
-12 = 15 - 3
-12 = 12 (False statement). this means that (3, -6) is not a solution to the given equation.

D) (3, 6)
2y = 5x - 3
2(6) = 5(3) -3
12 = 15 - 3
12 = 12 (True statement). This means that (3, 6) IS a solution to the given equation.

E) (2, -5)
2y = 5x - 3
2(-5) = 5(2) - 3
-10 = 10 - 3
-10 = 7 (False statement). this means that (2, -5) is not a solution to the given equation.

Therefore, the correct answer is Option D: (3, 6).
7 0
2 years ago
The diameter of a circle is 3 centimeters. What is the circumference?​
Wewaii [24]

Answer:

9.42

Step-by-step explanation:

6 0
2 years ago
In 1925, Zbigniew Morón published a rectangle that could be dissected into nine different sized squares as shown in the diagram.
Vlada [557]

Answer:

Area of the rectangle = 1056 square units

Step-by-step explanation:

Rectangle published could be dissected into nine different squares with different sizes.

Area of the squares with different measure of sides will be,

For side length = 1 unit

Area of the square = (Side)²

= 1²

= 1 square units

For side length = 4 units

Area of the square = 4² = 16 units²

For side length = 7 units

Area of the square = 7² = 49 units²

For side length = 8 units

Area of the square = 8² = 64 units²

For side length = 9 units

Area of the square = 9² = 81 square units

For side length = 10 units

Area of the square = 10² = 100 square units

For side length = 14 units

Area of the square = 14² = 196 square units

For side length = 15 units

Area of the square = 15² = 225 square units

For side length = 18 units

Area of the square = 18² = 324 square units

Total area of the rectangle by adding these 9 squares

= 1 + 16 + 49 + 64 + 81 + 100 + 196 + 225 + 324

= 1056 square units

8 0
3 years ago
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