Answer:
15 ml
Step-by-step explanation:
We will use a proportion to solve this problem. A proportion is setting a ratio equal to another ratio.
We start with the known ratio.
ratio of A to B = A/B = 3/2
Now we write the ratio that contains A as an unknown.
We want the amount of solution B to be 10 ml. Let the amount of solution A be A.
The ratio is A/10.
A/10 and 3/2 must be equal.
A/10 = 3/2
When you set two ratios equal, you have a proportion.
Now we solve the proportion for A.
Cross multiply.
2 * A = 10 * 3
2A = 30
A = 15
Answer: 15 ml
The given data can be tabulated as:
Number of swimsuits, s (x) Price, p (y)
0 0
2 23
4 46
6 69
8 92
10 115
We can see that by looking alone, the value of price p is
increasing at a constant rate of 23 therefore the equation relating s and p
must be linear in the form of:
y = m x + b
or
p = m s + b
where m is the slope of the line and b is the y intercept
The slope m can be calculated using the formula below and
any two data points:
m = (y2 – y1) / (x2 – x1)
m = (23 – 0) / (2 – 0)
m = 11.5
The value of b (y-intercept) is the value of y when x =
0, therefore b = 0
The whole equation then becomes:
p = 11.5 s
Answer:
37.
Step-by-step explanation:
4(3) + 5(5)
12 + 25
37
Answer:
x = 129º
Step-by-step explanation:
It will take some time to elaborate but start this way:
you see the triangle with the 58º and 57º? Now by rule, the sum of all angles ina triangle is 180º
so 57+58 = 115
to discover the other angle you just have to 180-155 = 65
Now that you know the 65º by rule the angle facing it is exactly the same, follow from there, solve all triangles until you get to x...
