Explanation:
Subtract 5 from both sides to isolate 2𝑥, then divide both sides by 2: 2𝑥 = 17 − 5 = 12, 𝑥 = 6.
Explanation:
To find the value of 3𝑥 − 7 when 𝑥 = 5, substitute 𝑥 = 5 into the expression:
3 (5) − 7
= 15 − 7
= 15 − 7
= 8
Explanation:
An operation is commutative if changing the order of the terms does not change the result. Addition and multiplication are commutative. Therefore, 8 + 12 = 12 + 8 is an example of the commutative property.
Explanation:
Factors are the numbers that when multiplied together provide the result. Zero is not a factor of any number. Answer C provides multiples of 16.
Explanation:
To solve, first add Mary's shot to the score: 42-18. Subtract the figures to see how many points still need to be scored: 42 - 18 = 24. Divide by three, since three points are attained with each shot: 24 ÷ 3 = 8.
Explanation:
The sum is written as:
2 2 2 2
+ 3 0 3
————
3 0 3 0
The sum of 2 and 3 equals 5, which must be represented as a 10. In the base-5 number system, a number cannot contain any 5's. The 1 of each 10 is carried to the next column to the left.
Explanation:
The area of a rectangle is calculated by multiplying its length by its width: 8 cm × 5 cm = 40 cm².
Explanation:
Let 𝑛 be the smallest integer, then 𝑛 + (𝑛 + 1) + (𝑛 + 2) = 39, 3𝑛 + 3 = 39, 3𝑛 = 36, 𝑛 = 12.
Explanation:
To order these numbers, first order the negative numbers from least to greatest. Remember, the largest negative number is the smallest.
-1.32, - 0.42
Then, 0 will separate the negative numbers from the positive numbers.
Finally, order the positive numbers from least to greatest.
0.014, 0.308, 0.31
The numbers ordered from least to greatest are: -1.32, - 0.42, 0, 0.014, 0.308, 0.31.
Explanation:
For a square, the perimeter is the sum of all four sides. Since all sides of a square are equal in length:
Perimeter = 4 × Side Length
Given that the perimeter is 24 cm:
24 cm = 4 × Side Length
24 cm = 4 × Side Length
To find the length of one side, divide the perimeter by 4:
Side Length = 24 cm/4
Side Length = 6 cm
Explanation:
First, write an equation to represent the word problem. This scenario can be represented by the equation 48 + 36 - 50 =
______. First, add the first two integers in the problem, 48 and 36. Write the problem vertically, making sure to line up the numbers according to place value. Start by adding the ones column to the right. Since 8 + 6 = 14, write 4 in the ones place as part of the answer and carry the 1 over to the tens place column. Next, add the tens column. Since 1 + 4 + 3 = 8, write 8 in the tens place as part of the answer. Therefore, 48 + 36 = 84.
From here, subtract the next integer from the original problem, 50, from 84. Write the problem vertically, making sure to line up the numbers according to place value. Start by subtracting the ones column on the right. Since 4 - 0 =4, write 4 in the ones column as part of the answer. From here, move to the tens column and subtract. Since 8 - 5 = 3, write 3 in the tens place as part of the answer, 48 + 36 - 50 = 34. There were 34 cookies left over after the bake sale.
