Answer:
1.1m
Step-by-step explanation:
Let L denote longer pipe and S denote shorter part
given:
L:S = 9:2
or L/S = 9/2
2L = 9S
S = (2/9)L-----(eq 1)
Also given:
L - 1.65 = 3S
L - 3S = 1.65 ----- (eq 2)
By substitution, sub eq 1 into eq 2
L - 3(2/9)L = 1.65
L - (2/3)L = 1.65
L [ 1 - (2/3) ] = 1.65
L/3 = 1.65
L = 1.65 (3) = 4.95 (substitute into equation 1)
S = (2/9)(4.95) = 1.1m
Answer: Jane needs 1 11/ 12 cups of flour more to make the cookie dough
Step-by-step explanation:
Recipe for cookie dough= 3 2/3cups of flour
Amount of flour available for Jane = 1 3/4 cups of flour
Amount of flour Jane needs to add to make cookie dough
=3 2/3 - 1 3/4
changing to improper fraction to make it easier to subtract
11/3 -7/4 = (44- 21)/12 = 23/12 = 1 11/12 cups of flour
The correct answers are :
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
<h3>
What is Inequalities?</h3>
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
Here, Suppose number is x
1) The square of the product of 5 and a number is not less than 46.
Step 1
Product of 5
5x
Step 2
Square of product of 5
(5x)²
Step 3
A number is not less than 46
(5x)² ≥ 46
2) The sum of square of a number and five times that number is not more than 46
Step 1
Square of a number
x²
Step 2
Five times that number
5x
Step 3
The sum = x² + 5x
Step 4
Is not more than 46
x² + 5x ≤ 46
3) The product of 5 and the square of a number is greater than 46
Step 1
The square of a number
x²
Step 2
The product of 5
5x²
Step 3
Is greater than 46
5x² > 46
Thus, The correct answers are :
(5x)² ≥ 46
x² + 5x ≤ 46
5x² > 46
Learn more about Inequality from:
brainly.com/question/20383699
#SPJ1
Answer:
C
Step-by-step explanation:
