7.Simplfy
(7+3)x2-5
15
8.When Henry went to the pet store, he noticed that there were 12 large fish tanks with goldfish. The store clerk told him that there were 107 goldfish in each tank how many were there in all
1,284
10.Which shows prime factorization of 75?
A.5^3
B.3^2x5
C.3x5^2
D.3x5^3
C
11.Which fraction is equal to 0.61
A.6/10
B.61/10
C.61/100
D.61/1000
C
all correct!
To simplify the expression (7+3)x2-5, you need to follow the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right). This means that you should simplify what's inside the parentheses first, then perform any multiplication or division, and finally perform any addition or subtraction.
1. Simplify what's in the parentheses: (7+3) = 10.
2. Now, the expression becomes 10x2-5.
3. Multiply 10 by 2: 10x2 = 20.
4. Subtract 5 from 20: 20-5 = 15.
Therefore, the simplified expression (7+3)x2-5 equals 15.
To find the total number of goldfish in all 12 large fish tanks at the pet store, you need to multiply the number of goldfish in each tank by the total number of tanks, which is 12.
1. Multiply the number of goldfish in each tank (107) by the total number of tanks (12): 107x12 = 1284.
Therefore, there are 1,284 goldfish in all 12 large fish tanks.
To find the prime factorization of a number, you need to express it as a product of its prime factors. In this case, we need to find the prime factorization of 75.
1. Start by dividing 75 by the smallest prime number, which is 2. Since 75 is an odd number and not divisible by 2, move on to the next prime number, which is 3.
2. Divide 75 by 3: 75 ÷ 3 = 25.
3. Now, divide the result (25) by 3 again: 25 ÷ 3 = 8.33. Since 8.33 is not a whole number, we move on to the next prime number.
4. Divide 25 by the next prime number, which is 5: 25 ÷ 5 = 5.
5. At this point, we have 5 left, which is a prime number.
6. Therefore, the prime factors of 75 are 3, 5, and 5.
7. To express this as a prime factorization, we write: 75 = 3 × 5 × 5.
This can also be written as 75 = 3 × 5^2.
Therefore, the prime factorization of 75 is C. 3 × 5^2.
To determine which fraction is equal to 0.61, you need to convert 0.61 to a fraction. The decimal point indicates that we have a number in the tenths place (61/100).
1. Write the decimal as a fraction: 0.61 = 61/100.
Therefore, the fraction that is equal to 0.61 is C. 61/100.