Mad Maggie used 9/20 pounds of blueberries to make the smoothie.
To see why, you can start by finding how many pounds of blueberries Mad Maggie used to make the smoothie:
3/5 of 3/4 pound of blueberries = (3/5) x (3/4) = 9/20
So Mad Maggie used 9/20 of a pound of blueberries to make the smoothie.
Mad Maggie buys 3/4 pound of blueberries and uses 3/5 of them to make a smoothie. How many pounds of blueberries did Mad Maggie use to make the smoothie?
17 answers
What is the approximate value of √38?
The approximate value of √38 is 6.16.
To see why, you can use a calculator or estimate by finding the perfect squares that are closest to but less than 38:
5² = 25 < 38 < 6² = 36
Then, you can take the square root of 25 and estimate that the square root of 38 is a little bit more than 5.
However, this is just an estimate and the actual value of √38 is irrational and goes on forever without repeating. The exact value is √38 ≈ 6.16441400297...
To see why, you can use a calculator or estimate by finding the perfect squares that are closest to but less than 38:
5² = 25 < 38 < 6² = 36
Then, you can take the square root of 25 and estimate that the square root of 38 is a little bit more than 5.
However, this is just an estimate and the actual value of √38 is irrational and goes on forever without repeating. The exact value is √38 ≈ 6.16441400297...
(-6-4) ÷ (-5) =
(-6-4) ÷ (-5) simplifies to:
-10 ÷ (-5)
When dividing by a negative number, we can flip the sign of both the dividend and the divisor to get:
10 ÷ 5
Which simplifies to:
2
Therefore, (-6-4) ÷ (-5) = 2.
-10 ÷ (-5)
When dividing by a negative number, we can flip the sign of both the dividend and the divisor to get:
10 ÷ 5
Which simplifies to:
2
Therefore, (-6-4) ÷ (-5) = 2.
3 1/3 + (-2 1/4) + 1 5/6 =
First, we need to change all the mixed numbers into improper fractions:
3 1/3 = (3 * 3 + 1) / 3 = 10/3
-2 1/4 = (-2 * 4 + 1) / 4 = -7/4
1 5/6 = (1 * 6 + 5) / 6 = 11/6
Now we can add the fractions:
10/3 + (-7/4) + 11/6
To add fractions, we need a common denominator. We can use the least common multiple of 3, 4, and 6, which is 12:
10/3 * 4/4 = 40/12
-7/4 * 3/3 = -21/12
11/6 * 2/2 = 22/12
Now we have:
40/12 + (-21/12) + 22/12
And we can combine the fractions:
(40 - 21 + 22) / 12 = 41/12
Therefore, 3 1/3 + (-2 1/4) + 1 5/6 = 41/12.
3 1/3 = (3 * 3 + 1) / 3 = 10/3
-2 1/4 = (-2 * 4 + 1) / 4 = -7/4
1 5/6 = (1 * 6 + 5) / 6 = 11/6
Now we can add the fractions:
10/3 + (-7/4) + 11/6
To add fractions, we need a common denominator. We can use the least common multiple of 3, 4, and 6, which is 12:
10/3 * 4/4 = 40/12
-7/4 * 3/3 = -21/12
11/6 * 2/2 = 22/12
Now we have:
40/12 + (-21/12) + 22/12
And we can combine the fractions:
(40 - 21 + 22) / 12 = 41/12
Therefore, 3 1/3 + (-2 1/4) + 1 5/6 = 41/12.
Convert the improper fraction 41/12 to a mixed number.
To convert the improper fraction 41/12 to a mixed number, we can divide the numerator (41) by the denominator (12):
41 ÷ 12 = 3 with a remainder of 5
The quotient, 3, represents the whole number part of the mixed number. The remainder, 5, represents the fractional part of the mixed number. We write the fractional part as the remainder over the original denominator:
5/12
Therefore, the mixed number is:
3 5/12
41 ÷ 12 = 3 with a remainder of 5
The quotient, 3, represents the whole number part of the mixed number. The remainder, 5, represents the fractional part of the mixed number. We write the fractional part as the remainder over the original denominator:
5/12
Therefore, the mixed number is:
3 5/12
If a cabinet door has a height of 5 feet and a width of 3 feet, what is the area of the cabinet door?
The area of the cabinet door can be found by multiplying its height and width:
Area = height x width
Area = 5 feet x 3 feet
Area = 15 square feet
Therefore, the area of the cabinet door is 15 square feet.
Area = height x width
Area = 5 feet x 3 feet
Area = 15 square feet
Therefore, the area of the cabinet door is 15 square feet.
Inside a rectangular prism model, there are 192 cubes. Each cube has an edge length of 3/4 inch. What is the volume of the rectangular prism?
The number of cubes inside the rectangular prism is equal to the total number of small cubes that can fit into the rectangular prism. Since each cube has an edge length of 3/4 inch, the volume of each cube is:
Volume of one cube = (3/4 inch)^3 = 27/64 cubic inches
Therefore, the total volume of the rectangular prism can be found by multiplying the number of cubes by the volume of each cube:
Volume of rectangular prism = Number of cubes x Volume of one cube
Volume of rectangular prism = 192 cubes x 27/64 cubic inches per cube
Simplifying this expression, we get:
Volume of rectangular prism = (192 x 27) / 64 cubic inches
Volume of rectangular prism = 81 cubic inches
Therefore, the volume of the rectangular prism is 81 cubic inches.
Volume of one cube = (3/4 inch)^3 = 27/64 cubic inches
Therefore, the total volume of the rectangular prism can be found by multiplying the number of cubes by the volume of each cube:
Volume of rectangular prism = Number of cubes x Volume of one cube
Volume of rectangular prism = 192 cubes x 27/64 cubic inches per cube
Simplifying this expression, we get:
Volume of rectangular prism = (192 x 27) / 64 cubic inches
Volume of rectangular prism = 81 cubic inches
Therefore, the volume of the rectangular prism is 81 cubic inches.
Which set of angles can form a triangle?
For a triangle to be formed, the sum of the measures of any two angles must be greater than the measure of the third angle.
In other words, if we have three angles in a triangle with measures a, b, and c, then:
a + b > c
a + c > b
b + c > a
For example, angles measuring 60°, 70°, and 110° can form a triangle because:
60° + 70° > 110°
60° + 110° > 70°
70° + 110° > 60°
On the other hand, angles measuring 60°, 70°, and 140° cannot form a triangle because:
60° + 70° < 140°
One angle is greater than the sum of the other two angles, which means the sides of the triangle will not meet.
So, any set of three angles which satisfies the above conditions can form a triangle.
In other words, if we have three angles in a triangle with measures a, b, and c, then:
a + b > c
a + c > b
b + c > a
For example, angles measuring 60°, 70°, and 110° can form a triangle because:
60° + 70° > 110°
60° + 110° > 70°
70° + 110° > 60°
On the other hand, angles measuring 60°, 70°, and 140° cannot form a triangle because:
60° + 70° < 140°
One angle is greater than the sum of the other two angles, which means the sides of the triangle will not meet.
So, any set of three angles which satisfies the above conditions can form a triangle.
What type of angles can form a triangle? Acute, obtuse, right...?
Any set of three angles that satisfy the triangle inequality theorem can form a triangle.
In other words, the sum of the measures of any two angles must be greater than the measure of the third angle.
Acute, obtuse, and right angles can all form a triangle, as long as they satisfy the triangle inequality theorem.
For example, a triangle can be formed with angles measuring 30°, 60°, and 90° (an acute, acute, and right angle, respectively), as long as they satisfy:
30° + 60° > 90°
30° + 90° > 60°
60° + 90° > 30°
Similarly, a triangle can be formed with angles measuring 60°, 90°, and 125° (an acute, right, and obtuse angle, respectively), as long as:
60° + 90° > 125°
60° + 125° > 90°
90° + 125° > 60°
So, any type of angle can form a triangle as long as it satisfies the triangle inequality theorem.
In other words, the sum of the measures of any two angles must be greater than the measure of the third angle.
Acute, obtuse, and right angles can all form a triangle, as long as they satisfy the triangle inequality theorem.
For example, a triangle can be formed with angles measuring 30°, 60°, and 90° (an acute, acute, and right angle, respectively), as long as they satisfy:
30° + 60° > 90°
30° + 90° > 60°
60° + 90° > 30°
Similarly, a triangle can be formed with angles measuring 60°, 90°, and 125° (an acute, right, and obtuse angle, respectively), as long as:
60° + 90° > 125°
60° + 125° > 90°
90° + 125° > 60°
So, any type of angle can form a triangle as long as it satisfies the triangle inequality theorem.