Answer:
The baker bought 8 pounds of apples and 4 pounds of bananas.
Step-by-step explanation:
a+b=12.
0.75a+1.05b=10.20
First, multiply 2 my 10.
75a+105b=1020.
Then multiply 1 by 75.
75a+75b=900.
Then subtract.
75a+105b=1020
75a+75b=900.
75a-75a+105b-75b=1020-900
30b=120
b=4
Substitute into (1)
a+4=12
a=8.
Hope this helps :)
Answer:
126°
Step-by-step explanation:
1. We know that 54 degrees and its adjacent are a linear pair, meaning that they add up to 180 degrees. To find the measure of the adjacent angle, we subtract 54 from 180.
2. Now, we know that adjacent of 54 is 126. Also, we know that ║ ║ n, and x and 126 degrees are corresponding angles. Corresponding angles are congruent within angle measures, so x = 126 degrees.
Answer:
Manish has Rs630 while Jhanavi has Rs168.
Step-by-step explanation:
The fraction Manish would have left would be subtracting the fraction on savings as well as that spent on the mall. Which would be;
1 -( 1/2 + 1/4)=1 -3/4 = 1/4
Meaning Manish had 1/4 of his allowance left on him.
Which means 1/4 × Rs. 2520=Rs630
Similarly for Jhanavi, we have :
The fraction left as
1-(1/3 +3/5) = 1 - ( 14/15) = 1/15
Meaning 1/15 of the allowance got remains which is;
1/15 × Rs. 2520= Rs.168
Answer:
You said what now?
Step-by-step explanation:
To have roots as described, that means we have the following factors: From multiplicity 2 at x=1 has (x-1)^2 as its factor From multiplicity 1 at x=0 has x as a factor From multiplicity 1 at x = -4 has a factor of x+4 Putting these together we get that P(x) = A (x) (x+4) (x-1)^2 Multiply these out and find P(x) = A (x^2 + 4x) (x^2 - 2x + 1) A ( x^4 - 2x^3 + x^2 + 4x^3 - 8x^2 + 4x ) Combine like terms and find P(x) = A (x^4 + 2x^3 - 7x^2 + 4x) To find A, we use the point they gave us (5, 72) P(5) = A [ (5)^4 + 2(5)^3 - 7(5)^2 + 4(5) ] = 72 A [ 625 + 250 - 175 + 20 ] = 72 A [ 720 ] = 72 Divide both sides by 720 and find that A = 0.1 Final answer: P(x) = 0.1 ( x^4 + 2x^3 - 7x^2 + 4x) or P(x) = 0.1 x^4 + 0.2 x^3 - 0.7x^2 + 0.4x