By rewriting the equation from step 1 substituting the value of k into it, the value of x is 22.5
A direct variation is a type of variation that has two types of variables in which a variable can be expressed in terms of the other with its constant.
For example;
If x varies directly as y
<h3>Step 1:</h3>
Then
- x
y - x = ky ; where k is constant
<h3>Step 2:</h3>
The original question says:
- if x varies directly as y, and x = 9 when y = 6, find x when y = 15
∴
x = ky
9 = k × (6)
k = 9/6
k = 1.5
<h3>Step 3:</h3>
Now, we can rewrite the equation from step 1 substituting the value of k into it:
∴
x = ky
The value of (x) will be:
x = 1.5 (15)
x = 22.5
Learn more about Direct variation here:
brainly.com/question/25798903
Answer:
Explanation:
Given
Required
Determine P(B)
If A and B are independent, then:
Substitute values for P(A) and P(A n B)
Make P(B) the subject
<em /><em> --- approximated</em>
Answer:
4pi/3
Explanation:
XY = YZ = XZ = 2
angle YXZ is pi/3
wxy is 2pi/3
Area of the circle = pi*r^2 = 4pi
Area of the shaded area = 4pi * (2pi/3)/(2pi) = 4pi/3
Answer
Jaime is preparing for a bicycle race. His goal is to bicycle an average of at least 280 miles per week for 4 weeks. He bicycled 240 miles the first week, 310 miles the second week, and 320 miles the third week. Which inequality can be used to represent the number of miles, x, Jaime could bicycle on the 4th week to meet his goal?
Solution
Jaime’s goal is to average at least 280 miles per week for 4 weeks. If T is the total number of miles Jamie will bicycle for 4 weeks, then his goal can be represented symbolically by the inequality:T⁄4, or equivalently T ≥ 4(280). The total number of miles Jamie will bicycle during this time is the sum of the distances he has completed and has yet to complete. Thus T = 240 + 310 + 320 + x. Substituting this expression into the inequality T ≥ 4(280) gives 240 + 310 + 320 + x ≥ 4(280). Therefore, choice D is the correct answer.
Choices A, B, and C are incorrect because they do not correctly capture the relationships between the total number of miles Jaime will ride his bicycle (240 + 310 + 320 + x) and the minimum number of miles he is attempting to bicycle for the four weeks (280 + 280 + 280 + 280).
Answer:
simplify
Explanation:
we will compine 7 and x/y
it will be
7x/y
