Answer:
Step-by-step explanation:So we know x + y = 21 and 5x +10y = 165 We line them up in columns x + y = 21 5x +10y = 165 To eliminate the x variable, I'll multiply every element in the 1st equation by -5. -5x + -5y = -105 5x + 10y = 165 Now we combine (add) the equations, which eliminates x altogether. 5y = 60 ... y = 12 From there, x + 12 = 21 ... x = 21-12 ... x = 9 You should double check. Do 9 nickles and 12 dimes equal $1.65? A very important thing to remember using this method is to do the same thing to each element in the equation that you change! I hope that helps.
9514 1404 393
Answer:
about 1.5 pounds
Step-by-step explanation:
The moon's gravity is about 1/6 that of Earth, so a 9-lb cat would weigh about 9/6 = 1.5 pounds on the moon.
Answer:
Quotient: y^2 -2y +3
Remainder = 0
Step-by-step explanation:
We need to solve he equation:
y^3-4y^2+7y-6 ÷ y -2
It is solved in the figure attached below:
After solving we get
Quotient: y^2 -2y +3
Remainder = 0
Answer:
98=50+3t
Step-by-step explanation:
5*10
50
98-50
48
48/3
16
<u>Given</u>:
Let time be the independent variable.
Let mile marker be the dependent variable.
On one highway, Gabriela noticed that they passed mile marker 123 at 1:00. She then saw that they reached mile marker 277 at 3:00 and Mr. Morales was driving at a constant speed.
The coordinates of the points on this line are (1,123) and (3,277)
We need to determine the slope of the line.
<u>Slope of the line:</u>
The slope of the line can be determined using the formula,

Substituting the points (1,123) and (3,277) in the above formula, we get;



Therefore, the value of the slope of this line is 154.