6th graders make $9 per car. $9 times 50 cars
5th graders make $8.50 per car. $8.50 times cars
6th graders earn $450 after washing 50 cars.
5th graders earn $425 after washing 50 cars
$450-$425=$25
The 6th graders make $25 more than the 5th graders.
Answer:
Step-by-step explanation:
Function 'f' represents the number of miles (y-values) covered by the helicopter in 'x' (x-values) minutes.
f(x) = 40 - 2x
For x = 0,
f(x) = 40 miles
For f(x) = 0,
0 = 40 - 2x
x = 20 minutes
This shows that helicopter traveled 40 miles in 20 minutes.
Similarly, given graph shows distance covered by the jet on y-axis and duration of flight on x-axis.
For x = 0,
f(x) = 500 miles
For f(x) = 0,
x = 100 minutes
Commercial jet traveled 500 miles in 100 minutes.
<h3>
Answer:</h3>
42. 29°
43. 3x³ +2x² -3x +10
44. 20a² +68a
<h3>
Step-by-step explanation:</h3>
42. The right-angle corner tells you the two marked angles are complementary — they sum to 90°.
(-3x +20)° + (-2x +55)° = 90°
-5x +75 = 90 . . . . . . . . . . collect terms, divide by °
-5x = 15 . . . . . . . . . . . . . . . subtract 75
x = -3 . . . . . divide by the coefficient of x
The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...
(-3·(-3) +20)° = 29° = m∠BDC
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43. The distributive property is useful for multiplying polynomials.
(x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)
= 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses
= 3x³ +2x² -3x +10
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44. Area is the product of length and width, so this becomes a problem in multiplying polynomials.
area = (5a +17)(4a) = 20a² +68a . . . . area in square feet
Answer: 
Step-by-step explanation:
Since you did not indicate what you need to do, I assume that you have to write an expression using the sentence given in the problem.
In order to solve this exercise, it is importat to remember the following information:
1. The quotient is the result of a division.
2. The sum is the result of an addition.
3. The word "twice" indicates a multiplicatio by 2.
4. The word "cube" indicates an exponent 3.
Then, keeping on mind the explained above and the data given in the exercise, you know that:
-The sum of 
and 
can be expressed as:
- Twice the cube of 
can be expressed in the following form:
Therefore, you can dermine that "the quotient of the sum of and and twice the cube of " is represented with the following expression:
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