Answer:
<h2>18x + 30</h2>
Step-by-step explanation:
The distributive property: a(b + c) = ab + ac.
-6(-3x - 5) = (-6)(-3x) + (-6)(-5) = 18x + 30
Answer:
310 kids/ 6 busses
310/6=51.6 so
52 or 51 kids on each bus.
Answer:
A) Average weight = 112.97
standard deviation = 3.913
B) 119.4069
Step-by-step explanation:
A) Estimate the true average weight and standard deviation of the weight
attached below is a detailed solution
Average weight = 112.97
standard deviation = 3.913
B) Assuming a normal distribution Estimate the weight below
attached below is a detailed solution
= 119.4069
Answer:
x = 3, line AB = 17 , and line CD = 17
y = 10, angle A = 70, and angle D = 70
Step-by-step explanation:
well since their the same length you can put them equal to each otheir
5x + 2 = 8x - 7
subtract 5x by both sides to get --> 2 = 3x -7
add 7 to both sides and get --> 9 = 3x
divide 3 by both sides to get x = 3
now plug it back in each equation we started with and get you answers
Same steps for y but different equations
Answer:
y =3x - 5
Step-by-step explanation:
Well one of the way to do this question is the formula given below your question, but for me, i rather do it this way
OK they gave u y=3x - 12
And they say another line is parallel, once u see the word parallel means they have the same angle, same slope, same gradient ( sorry if I give u the wrong terms, since I learn mine in Malay)
So first u got to understand the slope-intercept form
y = mx + c
y is your y coordinate
x is your x coordinate
m is your gradient ( as in how much the line slants)
c is the y - intercept, as in, if u draw a graph, the y-coordinate where your line touches the y-axis (the vertical line)
So since the say the both lines are parallel, so both of their "m" is the same that is 3. Why? Cuz just compare
y = mx + c
y = 3x - 12
Therefore the m is 3
Therefore u alredy got your first value, so put it in your slope intercept form
y = mx + c
y = 3x + c
Now how to find c? Very easy, just put in the value of y and x from the coordinate ( that the line youre finding is on) they gave u, just put the value in
They gave u
(1, - 2)
So when x = 1, y = - 2
Therefore put it in
y = 3x + c
-2 = 3 (1) + c
c = - 5
Since now u have your m and c value, your slope intercept form is done, just put it in
y = mx + c
y = 3x + (-5)
y = 3x -5