Answer:
y=3x+2
Step-by-step explanation:
y=mx+b
We have our m, which is slope, but we need our y intercept, b.
Substitute your slope, x, and y into the formula and solve for b.
5=3(1)+b
5=3+b
-3 -3
2=b
Now we can plug into equation.
y=3x+2
Answer: the total length of the string is 9 meters.
Step-by-step explanation:
The total number of strings that Emily measured is 3.
The length of the first piece of string measures 642 cm.
The length of the second piece of string measures 124 cm.
The length of the third piece of string measures 134 cm.
Therefore, the total length of the 3 pieces of string would be
642 + 124 + 134 = 900 cm.
100 cm = 1 m,
Converting 900 centimeters to meters, it becomes
900/1100 = 9 meters
You would use rules of Logarithms to condense to 4
Answer:
12 ft
Step-by-step explanation:
Using formula (pythagorean theorem)
a² + b² = c²
Where :
13 = c
and 5 = a
5² + b² = 13²
25 + b² = 169
169 - 25 = b²
144 = b²
Sq root b = 12
It will reach up 12 ft.
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Answer:
The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.
Step-by-step explanation:
Let "b" be the amount of Brazilian coffee, in pounds, required for the blend and "c" the amount of Colombian coffee required, in pounds.
Since there are two unknown variables a two-equation system is needed to solve the problem, we can set up one equation for weight and another for price as follows:

Solve for "c" by multiplying the first equation by -10 and adding it to the second one:

Now, solve for b by replacing the value obtained into the first equation

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.