To answer this question, you need to know that a quarter is worth $0.25 and dimes worth $0.10. In this case, the total number of money that made from quarters and dimes is $2.80
With Q=quarter and D=dime, then the equation should be:
2.80= 0.25 Q + 0.10 D
The condition that needs to be fulfilled in this case is that the quarter should be 8 more than dimes. Then you need to find out the highest possible number of the quarter and lowest possible number of the dimes.
If you divide 2.8 with 0.25 you will found it will be 11.2 but 11 quarter will result with 0.05 value which you cannot remove, so the highest possible of the quarter should be 10.
If the highest possible of the quarter is 10, then the lowest possible of dimes should be:
2.8= 0.25(10) + 0.10D
0.10D= 0.3
D=3
Since 10-3 is 7, then it is not possible for the quarter to be 8 more than the dimes.
Answer:
x = 16
Step-by-step explanation:
Verticle angles are always congruent, so:
(8x + 15) = 143
Now, we can solve to isolate x:
8x + 15 - 15 = 143 - 15 (subtract 15 from both sides)
8x/8 = 128/8 (divide both sides by 8)
x = 16
You can always plug in the value of x to the original equation to check your answer:
8(16) + 15 = 143
Answer:
200 pounds
Step-by-step explanation:
1 ton is equal to 2000 pounds
if you divide 2000 by 10, 2000÷10=200
Hope this helps :)
Answer:
The residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.
Step-by-step explanation:
In regression, the difference between the observed value of the dependent variable (<em>y</em>) and the predicted value (
) is known as the residual (<em>e</em>).
The least square regression line is used to predict the value of the response or dependent variable (<em>y</em>) from the known value of the explanatory or independent variable (<em>x</em>).
The general form of a least square regression line is:
The equation of the least squares regression line to predict the relationship between age (in years) and proportion of blackness in the lion’s nose is:
Compute the predicted value of <em>y</em> for <em>x</em> = 0.11 as follows:
The predicted value of <em>y</em> is, 
.
The observed value of the age of lion whose nose is 11% black is, <em>y</em> = 1.90.
Compute the residual age of this lion as follows:
Thus, the residual age of a lion whose nose is 11% black and is 1.9 years old is -0.15.
Answer:
c (-2,1)
Step-by-step explanation:
use y= and substitute into 2nd equation which will give you x. Then take x value and substitute into first equation which will give you y value and theres your answer
