Answer:
Simplifying
3x + 77 = 4x + 54
Reorder the terms:
77 + 3x = 4x + 54
Reorder the terms:
77 + 3x = 54 + 4x
Solving
77 + 3x = 54 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
77 + 3x + -4x = 54 + 4x + -4x
Combine like terms: 3x + -4x = -1x
77 + -1x = 54 + 4x + -4x
Combine like terms: 4x + -4x = 0
77 + -1x = 54 + 0
77 + -1x = 54
Add '-77' to each side of the equation.
77 + -77 + -1x = 54 + -77
Combine like terms: 77 + -77 = 0
0 + -1x = 54 + -77
-1x = 54 + -77
Combine like terms: 54 + -77 = -23
-1x = -23
Divide each side by '-1'.
x = 23
Simplifying
x = 23
Step-by-step explanation:
I hope its helps
<span>4.5 g
56.25 g
Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So
150 g * 3% = 150 g * 0.03 = 4.5g
For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution.
First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution:
3/8 * 150 g = 56.35 g
Or calculate it from scratch, like
4.5/X = 8/100
450/X = 8
450 = 8X
56.25 = X
In both cases, the result is that you desire 56.25 grams of 8% solution.</span>
Answer:
-23, 
Step-by-step explanation:
We need slope intercept form but do not have the needed information. We will gather this information by using point slope form. The point-slope formula is 
where we substitute a point (x,y) for 
.
We have slope represented as m=6 and (3, -5). We input m and 
.
We now simplify the parenthesis and solve for y to have slope intercept form.
The y-intercept is b of slope intercept form y=mx+b. Here b=-23.
Answer:
d. 10.53 units
Step-by-step explanation:
This question could be answered by Pythagoras Theorem which is :
In every triangle c is always the hypotenuse ( which is the longest line in the triangle/ the line where the right angle sign is pointing to )
a or b could be either one of the other lines of the triangle it doesn't matter.
First you find AC which is simply by adding the two 5.2 values which is 10.4 units.
BC can be written as b in our Pythagoras equation and if you first substitute it you will have:
To find b you rearrange everything to the other side except b
And if you type that in the calculator you get
BC= 10.53 units (2 decimal place)
Hope it is right, and ask any questions if unsure :)))
