<h2>Answer:</h2>
5x + 7y = 17 ....(1)
x + 4y = 19 .....(2)
<u>From equation 2</u>
x + 4y = 19
x = 19 - 4y
<u>Putting the value of x in Equation (1)</u>
5(19 - 4y) + 7y = 17
95 - 20y + 7y = 17
- 20y + 7y = 17 - 95
-13y = -78
y = 
y = 6
<u>Now, putting the value of y in equation </u><u>(</u><u>2</u><u>)</u>
x + 4y = 19
x + 4(6) = 19
x + 24 = 19
x = 19 - 24
x = -5
<u>Therefore, the value of y is 6 and value of x is -5</u>
Answer:
$742
Step-by-step explanation:
To solve this, you need to figure out what 6% of 700 dollars is and then add that to 700. The easiest way to find the percentage of a number is to set it up in the equation:
6/100 = x/700 where 6 is the percentage of 700 (out of 100 because you can only get up to 100 percent in this case) and x is 6 percent of 700. when you cross multiply, you get 100x = 4200. Then you divide both sides by 100 to get x by itself. This will give you x = 42 Add this to 700 for 742 as the total amount that will be paid. Sorry if this first half was a little confusing
Parallel lines have the same slope.
To compare the slopes of two different lines, you have to get
both equations into the form of
y = 'm' x + (a number) .
In that form, the 'm' is the slope of the line.
Notice that it's the number next to the 'x' .
The equation given in the question is y = 3 - 2 x .
Right away, they've done something to confuse you.
You always expect the 'x' term to be right after the 'equals' sign,
but here, they put it at the end. The slope of this line is the -2 .
Go through the choices, one at a time.
Look for another one with a slope of -2 .
Remember, rearrange the equation to read ' y = everything else ',
and then the slope is the number next to the 'x'.
Choice #4: y = 4x - 2 . The slope is 4 . That's not it.
Choice #3: y = 3 - 4x . The slope is -4 . That's not it.
Choice #2). 2x + 4y = 1
Subtract 2x from each side: 4y = 1 - 2x
Divide each side by 4 : y = 1/4 - 1/2 x .
The slope is -1/2. That's not it.
Choice #1). 4x + 2y = 5
Subtract 4x from each side: 2y = 5 - 4x
Divide each side by 2 : y = 5/2 - 2 x .
The slope is -2 .
This one is it.
This one is parallel to y = 3 - 2x ,
because they have the same slope.
Answer:
The correct answer is "(18, 30) minutes".
Step-by-step explanation:
Mean,
= 24
Standard deviation,
= 2
The range of minutes where 99.7% of individuals completed the quiz will be:
= 
On substituting the values, we get
= 
= 
now,
= 
= 
Or,
= 
= 
i.e., 18 to 30 minutes
An 180-degreee rotation would return the square to its original position.
