Answer:
-5
Step-by-step explanation:
-3 - 2 = -5
Answer:
The equation is y = -2/5x + 4
Step-by-step explanation:
First we have to find the slope of the line. In order to do so, solve the first equation for y.
2x + 5y = 20
5y = -2x + 20
y = -2/5x + 4
This gives us a slope of -2/5. Given that information, we now can plug the slope and point into point-slope form and get the final equation.
y - y1 = m(x - x1)
y - 6 = -2/5(x - -5)
y - 6 = -2/5(x + 5)
y - 6 = -2/5x - 2
y = -2/5x + 4
Answer:
The correct answer to the question is;
1 < x < <u>4</u>
Step-by-step explanation:
The give parameters are;
ΔABC is an isosceles triangle, with the vertex angle = 35° + 20° = 55°
Therefore, the two base angles are 62.5° each by definition of isosceles triangle
Given that the angle subtended by 4·x - 4 which is 25° is lesser than the angle subtended by the 12 unit side length which is 35° we have;
4·x - 4 < 12
4·x < 12 + 4
∴ 4·x < 16
x < 16/4
x < 4
Therefore, the range is 1 < x < 4
We can use these variables:
A = number of ounces for solution A
B = Number of ounces for solution B
A + B = 20
Now, we can use decimal conversions.
0.65A + 0.80B = 0.70(120)
Next step: We substitute A into 120 - B to show their relationship.
0.65(120 - B) + 0.80B = 84
Now onto the next equation:
78 - 0.65B + 0.80B = 84
0.80 - 0.65 = 0.15, so…
0.15B = 84 - 78
0.15B = 6
B = 6 divided by 0.15
B = 40 ounces
To find A, we can simply plug B into the starting equation.
A = 120 - 40
A = 60 ounces
Your final answer: The scientist should use 60 ounces of solution A and she should use 40 ounces of solution B. Yeah