Answer:
No
Step-by-step explanation:
y = 4x + 1 is not a direct variation. Direct variations have the form y = kx. So y = 4x would be a direct variation (k=4), but not y = 4x+1
Answer:
6x - 4 = 32. The variable (times a number) is equal to 6.
Step-by-step explanation:
So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.
Four less than 6 times a number: 6x - 4 _ __.
Now we can add the equal sign and the 32: 6x - 4 = 32.
We can now solve. Add 4 to both sides of the equation to cancel out the -4:
6x - 4 = 32
<u>+4 + 4</u>
6x = 36
Now we divide 6 into both sides of the equation to single out the x.
<u>6x = 36</u>
6 6
36/6 = 6, so:
x = 6
I hope that this helps.
1)We need to know the amount of yellow tint in the old mixture.
amount of yellow tint=30% of 40 liters
30%=30/100=0.3
Amount of yellow tint=0.3(40 liters)=12 liters.
2)We need to find the amount of yellow tint in the new mixture.
amount of yellow tint in the new mixture=12 liters + 9 liters=21 liters.
3) we calculate the amount of the new mixture:
amount of new mixture=40 liters + 9 liters=49 liters
4) we compute the percent of yellow tint in the new mixture:
percent of yellow tint =(amount of yellow tint / amount of mixture)*100
percent of yellow tint=(21 liters / 49 liters)100≈42.9%
Answer: The percent of yellow tint in the new mixture is 42.9%.
note: if this answer is not correct you can try it with 42.8%
Answer:
The length of the rectangle is;
5x(x+13)/(x-5)
Step-by-step explanation:
Mathematically, we know that the area of a rectangle is the product of the length and width of the triangle
To find the length of the rectangle, we will have to divide the area by the width
we have this as;
(x^2 + 15x + 26)/6x^2 divided by (x^2-3x-10)/30x^3
thus, we have ;
(x^2 + 15x + 26)/6x^2 * 30x^3/(x^2-3x-10)
= (x^2+15x+ 26)/(x^2-3x-10) * 5x
But;
(x^2 + 15x + 26) = (x+ 2)(x+ 13)
(x^2-3x-10) = (x+2)(x-5)
Substituting the linear products in place of the trinomials, we have;
(x+2)(x+13)/(x+2)(x-5) * 5x
= 5x(x+13)/(x-5)
