Is 17,077 a prime number? Think step by step and then answer Yes or No
To determine if 17,077 is a prime number, we need to check if it is divisible by any number other than 1 and itself.
First, let's check if it is divisible by 2. Since 17,077 is an odd number (not divisible by 2), we move on to check further.
Next, we check if it is divisible by 3. To do this, we add up the individual digits in 17,077: 1 + 7 + 0 + 7 + 7 = 22. Since 22 is not divisible by 3, 17,077 is also not divisible by 3.
We can continue this process to check if it is divisible by 5, 7, 11, and so on. However, a shortcut can be taken by checking divisibility up to the square root of 17,077.
The square root of 17,077 is approximately 130.558. We can check if 17,077 is divisible by any number up to 130. Since it is not divisible by 2, 3, 5, 7, 11, or any other smaller prime numbers, we can conclude that 17,077 is a prime number.
Therefore, the answer is: Yes, 17,077 is a prime number.
Cara and Beejal make a poster for school. The poster is in the shape of a rectangle. The left side of the poster measures 7 units; the top side of the poster measures 6 units. What is the area in square units of the completed poster? (1 point)
26 square units
42 square units
48 square units
13 square units
To find the area of a rectangle, we need to multiply the length by the width.
In this case, the left side measures 7 units and the top side measures 6 units.
Therefore, the area of the poster is 7 units * 6 units = 42 square units.
So the correct answer is: 42 square units.
Ja'Miles designs a sign for a store in the shape of a triangle. His design is 7.5 square feet in area, and the triangle has a height of 2.5 feet. What is the length of the base of his sign? (1 point)
10 feet
0.6 feet
3 feet
6 feet
To find the length of the base of the triangle, we can use the formula for the area of a triangle:
Area = (base * height) / 2
Given that the area is 7.5 square feet and the height is 2.5 feet, we can rearrange the formula to solve for the base:
base = (2 * Area) / height
Substituting the values, we have:
base = (2 * 7.5) / 2.5
base = 15 / 2.5
base = 6
So, the length of the base of Ja'Miles' sign is 6 feet.
The correct answer is: 6 feet.
Ethan writes the ratio x/8 = y/16 to help him reduce the size of a two-dimensional shape 16
If the new value of y is 3 units, what will be the value of x? (1 point)
1.5 units
6 units
3/16 units
0.5 units
To solve for the value of x, we can use the given ratio x/8 = y/16.
Given that the new value of y is 3 units, we can substitute y with 3 in the equation:
x/8 = 3/16
To isolate x, we can cross-multiply:
16x = 8 * 3
16x = 24
Finally, divide both sides by 16 to solve for x:
x = 24/16
x = 1.5 units
So, the value of x is 1.5 units.
The correct answer is: 1.5 units.
Li is a professional nature photographer. She takes a photograph of a spider web and prints a copy. The original dimensions of her copy are 6 inches by 4 inches. Li decides to advertise her business by printing smaller copies of the spider web photograph and emailing them to friends and acquaintances. Which dimensions represent a smaller scale drawing of the original printed photograph? (1 point)
1 inch by 0.5 inches
1.5 inches by 1 inch
2 inches by 1 inch
12 inches by 8 inches
To find a smaller scale drawing of the original printed photograph, we need to decrease the dimensions proportionally.
The original dimensions of the photograph are 6 inches by 4 inches. To find a smaller scale, we can divide both dimensions by the same factor.
Let's try each option:
1 inch by 0.5 inches:
Dividing the original dimensions by 6, we get 1 inch by 0.67 inches.
1.5 inches by 1 inch:
Dividing the original dimensions by 4, we get 1.5 inches by 1 inch.
2 inches by 1 inch:
Dividing the original dimensions by 3, we get 2 inches by 1.33 inches.
12 inches by 8 inches:
Dividing the original dimensions by 0.5, we get 12 inches by 8 inches, which is larger than the original.
Based on these calculations, the option that represents a smaller scale drawing of the original printed photograph is:
1.5 inches by 1 inch.
So the correct answer is: 1.5 inches by 1 inch.