Answer:
each person ate 1/4 of the meat loaf
Step-by-step explanation:
because there are four people in total, they ate 1/4 of it individually.
1/4 + 1/4 + 1/4 + 1/4 = 4/4 which is equal to one whole meat loaf:)
Answer:
3/4
Step-by-step explanation:
4×+3y=12
answer: m = 3/4
Answer:
y = 5/4x - 4
Step-by-step explanation:
First, find the slope by doing change in y/change in x
You have the points (4, 1) and (0, -4), so the slope would be:
-4 - 1 / 0 - 4 = -5 / -4 = 5/4
Then, find the y-intercept
It gives you that the y-intercept is (0, -4).
Now put the equation in the form y = mx + b where m is the slope and b is the y-intercept.
You have that m = 5/4 and b = -4, so it would be y = 5/4x - 4.
Answer:2
Explanation:
The statement is expressed as
y
∝
1
x
inverse means
1
variable
To convert to an equation introduce k, the constant of variation.
y
=
k
×
1
x
⇒
y
=
k
x
To find k use the given condition that y = 8 when x = 4
8
=
k
4
⇒
k
=
4
×
8
=
32
⇒
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
32
x
2
2
∣
∣
∣
−−−−−−−−−−−−
x
=
16
→
y
=
32
16
⇒
y
=
2
when
x
=
16
8 litres (amount of 20% solution needed) and 7 litres for (amount of 50% solution needed)
<u>Step-by-step explanation:</u>
Let consider ‘x’ for 20% acid solution and (15 – x) for 50% acid solution. And so, the equation would be as below,
20% in x + 50% in (15 – x) = 15 litres of 34%
Convert percentage values, we get
0.20(x) + 0.50 (15 – x) = 15 (0.34)
0.20 x + 7.5 – 0.50 x = 5.1
-0.3 x + 7.5 = 5.1
0.3 x = 7.5 – 5.1
0.3 x = 2.4
Apply ‘x = 8’ value in (15 – x) we get,
15 – 8 = 7 litres
The value of 7 litres for (amount of 50% solution needed)