Answer:
45 marbles
Step-by-step explanation:
Using the information provided, we can form the equation x/5 - 2 = 7
Step 1: Add two on both sides of the equation x/5 - 2 = 7
Step 2: Multiply both sides of the equation by 5, to cancel out x. x/5=9
Step 3: Lastly, you get that x=45 marbles
Answer:
B - 150 yd
Step-by-step explanation:
Obviously the first step is to find the missing measurement. To do this, you use the Pythagorean theorem; <em>a² + b² = c².</em>
In this case, let's label the the missing side A, the height B, and the hypotenuse C.
<em>X² + 15² = 25²</em>
Then you must figure out what 15² and 25².
<em>15² = 225</em>
<em>25² = 625</em>
The next step is to subtract 15² (225) from 25² (625), which will give you the result of X².
<em>625 - 225 = 400. </em>
Now you know X² = 400, you can find the square root of 400 to give you the length of the triangle.
<em>√400 = 20.</em>
<u>The missing length of the triangle is 20 yards. </u>
Now it's just a matter of finding the area by using the formula;
<em>A = </em>
Or,
<em>(20 × 15) ÷ 2 = 150.</em>
<u>And there's your answer. Don't forget to add the units.</u>
<u />
<h2>
Hope this helped.</h2>
Answer: v = 2
Step-by-step explanation:
30-48v+12 = -54
-48v = -54-30-12
= 
v = 2
(I'm going to use brackets as my absolute value bars lol)
[5 x -3]
[-15]
=15
Answer:
Step-by-step explanation:
4x − y = −11
2x + 3y = 5
lets multiply the second equation by -2 and add it to the first:
4x − y = −11
-4x - 6y = -10
------------------
0 - 7y = -21
y = -21/-7
y = 3
now we substitute this result in the first equation to find x:
4x − y = −11
4x - 3 = -11
4x = -8
x = -8/4
x = 2
so the solution is y = 3 and x =2
4x − 9y = −21
−10y = −30
we solve for y
−10y = −30
y = -30/-10
y = 3
and substitute in the first equation:
4x − 9y = −21
4x − 9(3) = −21
4x - 27 = -21
4x = 6
x = 6/4 = 3/2
so the solution is x = 3/2 and y = 3
4x + 3y = 5
2y = −6
we solve for y:
2y = −6
y = -6/2
y = -3
we do substitute in the first equation:
4x + 3y = 5
4x + 3(-3) = 5
4x - 9 = 5
4x = 14
x = 14/4
x = 7/2
so the solution is x = 7/2 and y = -3
7x − 3y = −11
9x = −6
we solve for x:
9x = −6
x = -6/9
x = -2/3
then we substitute in the first equation the result found:
7x − 3y = −11
7(-2/3) − 3y = −11
-14/3 - 3y = -11
we multiply by 3 to eliminate fractions:
-14 - 9y = -33
9y = 19
y = 19/9
so the solution is x = -2/3 and y = 19/9
12x − 3y = −33
14x = −28
we solve for x:
14x = −28
x = -28/14
x = -2
then we substitute in the first equation:
12x − 3y = −33
12(-2) − 3y = −33
-24 - 3y = -33
3y = 9
y = 3
then the solution is x = -2 and y = 3
