Answer:
5 3/8
Step-by-step explanation:
3 1/8 ÷(x−4 7/28 )= 17/18 +1 5/6
Get a common denominator for the right side
3 1/8 ÷(x−4 7/28 )= 17/18 +1 15/18
Combine like terms
3 1/8 ÷(x−4 7/28 )= 1 32/18
3 1/8 ÷(x−4 7/28 )= 2 14/18
3 1/8 ÷(x−4 7/28 )= 2 7/9
We have a ÷ b = c
Rewriting as a ÷c = b
3 1/8 ÷ 2 7/9 = (x−4 7/28 )
Changing from mixed numbers to improper fractions
25/8 ÷ 25 /9 = (x−4 7/28 )
Copy dot flip
25/8 * 9/25 = (x−4 7/28 )
9/8 = (x−4 7/28 )
Add 4 7/28 to each side
9/8 + 4 7/28 = (x−4 7/28 )+ 4 7/28
Simplifying the fractions
9/8 + 4 1/4 = x
Getting a common denominator
9/8 + 4 2/8 =x
4 11/8 =x
4 + 8/8+3/8 =x
5 3/8
Answer:
3.5 in.
Step-by-step explanation:
17.5 ÷ 5 = 3.5
Answer:
7/8 squared = 49/56
Square root = 0.330718914.....
Hope that helps!
Step-by-step explanation:
Answer:
B) (35, 260)
Step-by-step explanation:
A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?
A) (35, 240)
B) (35, 260)
C) (260, 35)
D) (240, 35)
Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.
Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²
For a 35 pound dog (i.e w = 35 pound). The dosage is given as:
d ≥ 1∕5(35)² ≥ 245 milligrams.
For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).
The dog weight is the independent variable and the dosage is the dependent variable.
From the ordered pairs, the best option is (35, 260) because 260 ≥ 240
Answer:
Each shade has a 22.5 degree angle from the middle
Each unshaded has a 67.5 degree angle from the middle.
Step-by-step explanation:
You can solve this by making each unshaded part equal to x and each shaded part equal 1/3x it is a circle so it has to equal 360 so you end up with:
x + 1/3x + x + 1/3x + x + 1/3x + x + 1/3x = 360
Combine Like terms:
16/3x = 360
Multiply both sides by the opposite:
(3/16) (16/3x) = (360) (3/16)
x=135/2 or x=67.5
Then you can plug 67.5 in for x:
1/3x ---> 1/3(67.5) = 22.5
