Answer:
$420
Step-by-step explanation:
(100 - 40)x = 60x
60x - 20 = 40x
0.4x = $168
x = $168/0.4 = $420
Given:
u varies directly with the square of p and inversely with d.
To find:
The equation for the given situation.
Solution:
If y is directly proportional to x, then
If y is inversely proportional to x, then
It is given that u varies directly with the square of p and inversely with d. So,
It can be written as:
Where, k is the constant of proportionality.
Therefore, the required equation is 
.
Answer:
Yes (6,1) is a solution to the inequality
Step-by-step explanation:
Plug in the coordinate point and check:
11(6)+3(1)>4?
66+3>4?
69>4
Since 69 is indeed greater than 4, then (6,1) is a solution to the inequality.
Answer:
The vale of x is 3/5.
Step-by-step explanation:
First you have to expand out :
Next you have to solve it by adding 6 to both sides :
Let expression = 0,
5y+2x=10<span />y=<span><span>−25</span></span>x+2<span /><span>2</span><span>4</span><span>6</span><span>8</span><span>10</span><span>−2</span><span>−4</span><span>−6</span><span>−8</span><span>−10</span><span>2</span><span>4</span><span>6</span><span>8</span><span>10</span><span>−2</span><span>−4</span><span>−6</span><span>−8</span><span>−10</span>Let's solve for x.<span><span><span>5y</span>+<span>2x</span></span>=10</span>Step 1: Add -5y to both sides.<span><span><span><span>2x</span>+<span>5y</span></span>+<span>−<span>5y</span></span></span>=<span>10+<span>−<span>5y</span></span></span></span><span><span>2x</span>=<span><span>−<span>5y</span></span>+10</span></span>Step 2: Divide both sides by 2.<span><span><span>2x</span>2</span>=<span><span><span>−<span>5y</span></span>+10</span>2</span></span><span>x=<span><span><span><span>−5</span>2</span>y</span>+5</span></span>Answer:<span>x=<span><span><span><span>−5</span>2</span>y</span>+<span>5
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