Answer:
64
Step-by-step explanation:
Let the 1st number be x; 2nd number be y; 3rd number be z.
x + y + z = 79
x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first
Therefor,
x + (x * 5) + (x+16) = 79
1st step, multiply the 2nd number: x * 5 = 5x
x + 5x + x + 16 = 79
Add all like numbers:
7x + 16 = 79
To get x, transfer 16 to the other side and change its sign from positive to negative.
7x = 79 - 16
7x = 63
To get x, divide both sides by 7
7x/7 = 63/7
x = 9
To check. Substitute x by 9.
x + (x * 5) + (x+16) = 79
9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.
Answer:
$90
Step-by-step explanation:
To solve this problem, you simply multiply $60 by 50%. Remember to change 50% into its decimal form (50% -> 0.5).
60 x 0.5 = 30
Now we add 30 to the original price of $60 to get our final answer.
$60 + 30 = $90
Answer:
Step-by-step explanation:
The measure of the floor of the rectangular room that is 12 feet by 15 feet. The formula for determining the area of a rectangle is expressed as
Area = length × width
Area of the rectangular room would be
12 × 15 = 180 feet²
The tiles are square with side lengths 1 1/3 feet. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet
Area if each tile is
4/3 × 4/3 = 16/9 ft²
The number of tiles needed to cover the entire floor is
180/(16/9) = 180 × 9/16
= 101.25
102 tiles would be needed because the tiles must be whole numbers.
Answer:
x = 17°
Step-by-step explanation:
<u>Angles And Parallel Lines
</u>
If two parallel lines are crossed by a third line, corresponding angles are congruent. Also, consecutive angles are supplementary
We can clearly see in the image provided, being w and b parallel, that the corresponding angles (4x-3) and 65° are congruent. We can express that relation as

Operating

So the value of the angle x is 17°