Just look at 1 on the x-axis and go all the way up till you reach the line, then go all the way to the left and see what number that is on the y-axis.
When you do this you find that it's 2 on the y-axis.
So when x = 1, y = 2.
Let the x ml of water be mixed with 237 ml of ammonia whose strength is 100%, in order to create a mixture of 75% strength.
The equation required to solve this will be:
237/(237+x)=75/100
solving for x we get:
237/(237+x)=3/4
237×4=3(237+x)
948=711+3x
3x+711=948
3x=948-711
3x=237
x=237/3
x=79 ml
therefore the amount of water to be added will be 79 ml
Answer:
y = x + 6
x = 1
y = ¼(x - 5) + 3
Step-by-step explanation:
Vetices are;
A(1,5), B(5,3) and C(-3, -2)
Thus;
Median of AB is; D = (1 + 5)/2, (5 + 3)/2
D = (3, 4)
Median of BC is; E = (5 + (-3))/2, (3 + (-2))/2
E = (1, 0.5)
Median of AC is; F ; (-3 + 1)/2, (-2 + 5)/2
F = (-1, 1.5)
Thus, the median lines will be;
CD, AE & BF.
Thus;
Equation of CD is;
(y - (-3))/(x - (-2)) = (-2 - 4))/(-3 - 3)
(y + 4)/(x + 2) = -6/-6
y - 4 = 1(x + 2)
y = 4 + x + 2
y = x + 6
Equation of AE;
(y - 5)/(x - 1) = (0.5 - 5)/(1 - 1)
(y - 5)/(x - 1) = -4.5/0
Cross multiply to get;
0(y - 5) = -4.5(x - 1)
-4.5x = -4.5
x = 1
Equation of BF;
(y - 3)/(x - 5) = (1.5 - 3)/(-1 - 5)
(y - 3)/(x - 5) = -1.5/-6
(y - 3)/(x - 5) = 1/4
y - 3 = ¼(x - 5)
y = ¼(x - 5) + 3
9514 1404 393
Answer:
a. 10
b. 5
c. 3 with 1/4 pound left over
Step-by-step explanation:
You can find the number of 1/4 pound bags by dividing 2 1/2 pounds by 1/4 pound. In decimal, this is obvious:
2.5/0.25 = 10
Using fractions, it is ...
(2 1/2)/(1/4) = (5/2)/(1/4) = (10/4)/(1/4) = 10/1 = 10
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a) Tim can make 10 1/4-pound bags from 2 1/2 pounds.
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b) It is worthwhile to note that a 1/2-pound bag is equivalent to two 1/4-pound bags. So, the number of 1/2-pound bags will be 10/2 = 5.
Tim can make 5 1/2-pound bags from 2 1/2 pounds.
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c) It is worthwhile to note that a 3/4-pound bag is equivalent to three 1/4-pound bags. So, the number of 3/4-pound bags will be 10/3 = 3 1/3.
Tim can make 3 3/4-pound bags from 2 1/2 pounds, with 1/4 pound left over.
