he Mitchell family is renting a boat for the day. The boat rental has a flat fee of $100 plus $20 for each hour. They have to pay for a whole hour even if they are not out on the lake for a whole hour. For example, if they rent the boat for 3 and one-half hours, they have to pay for 4 hours. If they want to spend $250 or less on the boat rental for the day, how many hours can they rent the boat? Write an inequality and solve.
Answers
250-100 = 150
150/20 = 7.5
7 hours
inequality: 100+20x <=250
They can rent the boat for 7 hours for $ 240 in total.
Since the Mitchell family is renting a boat for the day, and the boat rental has a flat fee of $ 100 plus $ 20 for each hour, and they have to pay for a whole hour even if they are not out on the lake for a whole hour, to determine, if they want to spend $ 250 or less on the boat rental for the day, how many hours can they rent the boat, the following calculation must be performed:
Fixed cost + Variable cost multiplied by the number of hours = Final cost 100 + 20X = 250 20X = 150 X = 150/20 X = 7.5 100 + 20 x 8 = 100 + 160 = 260 100 + 20 x 7 = 100 + 140 = 240
So they can rent the boat for 7 hours for $ 240 in total.
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Related Questions
What's the missing side
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x = 35/sin(40) = 54.4503
round answer as needed.
Based on this excerpt, we can conclude that autism
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Hope this helps. (ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
Which expression is equivalent to 32⋅32⋅32⋅32 ? (Also All The 32s Are Fractions, The Lines Just Wont Come Up.)
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Answer:
If this is 1/32 for all of them the answer would be (1/32)^4 or (1/32) to the 4th power. if this is 3/2 it would be (3/2)^4 or (3/2) to the 4th power.
Step-by-step explanation:
If this is 1/32 for all of them the answer would be (1/32)^4 or (1/32) to the 4th power. if this is 3/2 it would be (3/2)^4 or (3/2) to the 4th power. I hope this helps : )
Jane has read 108 pages of her book. Kevin is reading the same book and has 80 pages left to read. If there are 200 pages in the book by how much percent is the number of pages left for Jane greater then Kevin
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One side of trapezoid is 10 inches. The side parallel to this is twice as long as this side. The height is half as long as the given side length. Find the area of the trapezoid.
Answers
b1=10
b2=10·2=20 because it stated the side parallel is twice as long as the side above
h=10/2=5 because the height is half as long as the give side length
area of the trapezoid is: 1/2 (10+20) 5
(5·10)·5
50·5
area of the trapezoid is 250 in²
Study the products shown. Is there a pattern?
(x + 3)2 = x2 + 6x + 9
(x + 4)2 = x2 + 8x + 16
(x + 5)2 = x2 + 10x + 25
(x + 6)2 = x2 + 12x + 36
Each product is in the form ax2 + bx + c.
Which of the following describes the relationship between b and c?
c is 1.5 times that of b.
c is double b.
c is the square of half of b.
c is the square of b.
Answers
This is evident in all products,
(6/2)² = 3²
= 9
(8/2)² = 4²
= 16
(10/2)² = 5²
= 25
(12/2)² = 6²
= 36
(b/2)² = c
Answer:
The correct option is 3. c is the square of half of b.
Step-by-step explanation:
The given equations are
[tex](x+3)^2=x^2+6x+9[/tex]
[tex](x+4)^2=x^2+8x+16[/tex]
[tex](x+5)^2=x^2+10x+25[/tex]
[tex](x+6)^2=x^2+12x+36[/tex]
These are the perfect square. According to this pattern,
[tex](x+y)^2=x^2+2xy+y^2[/tex] .... (1)
Each product is in the form
[tex](x+y)^2=ax^2+bx+c[/tex] .... (2)
From (1) and (2), we get
[tex]b=2y[/tex]
[tex]c=y^2[/tex]
[tex]c=(\frac{b}{2})^2[/tex] [tex][\because b=2y][/tex]
It means c is the square of half of b.
Therefore the correct option is 3.
The sum of two complementary angles is 90°. For one pair of complementary angles, the measure of the first angle is 15 less than twice the measure of the second angle. Write a system of equations that can be used to determine the measure of the first angle, a, and the measure of the second angle, b.
Answers
a = 2b - 15
2b - 15 + b = 90
3b - 15 = 90
3b = 90 + 15
3b = 105
b = 105/3
b = 35 <== second angle
a = 2b - 15
a = 2(35) - 15
a = 70 - 15
a = 55 <== first angle
Answer: The measure of angle a is 90-25=65° and the measure of angle be is 25°.
Step-by-step explanation:
Let the two complementary angles be 'a' and 'b'.
So, the sum of two complementary angles is 90°.
So, it becomes,
[tex]a+b=90^\circ---------------(1)[/tex]
First angle is 15 less than twice the measure of the second angle.
So, it becomes,
[tex]a=2b-15-------------(2)[/tex]
Put the equation (2) in equation (1), we get
[tex]a+b=90^\circ\\\\2b-15+b=90^\circ\\\\3b+15=90^\circ\\\\b=90-15\\\\3b=75^\circ\\\\b=\dfrac{75}{3}\\\\b=25^\circ[/tex]
Hence, the measure of angle a is 90-25=65° and the measure of angle be is 25°
Which of the following is rational?
A. 3 x pie
B. 2/3 + 9.26
C. root 45 + root 36
D. 14.333... + 5.78765239...
Answers
2/3 is a rational number + 9.26 (also rational) = rational answer
Show work on simply 2+(3g-4)-(8g+3)
Answers
2 - 7 -5g
-5g - 5 is your answer
hope this helps
A fourth degree polynomial with five terms could have, at most, how many different linear factors?
Answers
The correct answer is: c. 4. In some cases, a fourth-degree polynomial with five terms could have at most 4 different linear factors.
To understand how many different linear factors a fourth-degree polynomial with five terms could have at most, let's consider the Fundamental Theorem of Algebra, which states that a polynomial of degree (n) has exactly (n) complex roots, counting multiplicity. For a fourth-degree polynomial, this means it can have at most 4 linear factors, as each linear factor corresponds to a root.
However, the polynomial could have repeated roots, reducing the number of distinct linear factors. If all four roots are distinct, then there will be 4 different linear factors. But if one or more roots are repeated, the number of different linear factors will decrease. The polynomial could have fewer than 4 distinct linear factors if it has repeated roots.
Complete Question:
A fourth degree polynomial with five terms could have, at most, how many different linear factors?
a. 3
b. 2
c. 4
d. 5
Which equation illustrates the commutative property of addition?
Answers
first one
a + b = b +a
so in this case
12 + 6 + 15 = 12 + 15 + 6
Six times a number , less 11 is 49
Answers
+ 11 + 11
6x = 60
/6 /6
x = 10
The answer is 10.
Find three consecutive integers with a sum of -36
Answers
x + (x +1) + (x+2) = -36
3x + 3 = -36
3x = -39
x = -13
-13,-12,-11
Hope this helps!
Three eggs are required to make two dozen muffins. how many eggs are needed to make 12 dozen muffins using a proportion
Answers
= 3
Amount of eggs needed to make 1 dozen muffins
=3/2
=1.5
Amount of eggs need to make 12 dozen muffins
=1.5x12
=18
The formula for the perimeter of a rectangle is P=2(L+W) solve for W.
A. W=p/2-l
B. W=2p-l
C. W=p-2/+l
D. W=P/2+L
Answers
Answer:
Option A - [tex]W=\frac{P}{2}-L[/tex]
Step-by-step explanation:
Given : The formula for the perimeter of a rectangle is P=2(L+W).
To find : Solve for W ?
Solution :
The formula for the perimeter of a rectangle is
[tex]P=2(L+W)[/tex]
Multiply,
[tex]P=2L+2W[/tex]
Subtract 2L both side,
[tex]P-2L=2W[/tex]
Divide by 2 both side,
[tex]W=\frac{P-2L}{2}[/tex]
or [tex]W=\frac{P}{2}-L[/tex]
Therefore, Option A is correct.
You found 6.60 on the ground at school, alpl in nickels, dimes, and quarters. you have twice as many quarters as dimes and 42 coins in all. how many of each type of coin do you have?
Answers
We know that 1 nickel= $0.05, 1 dime= $0.1 and 1 quarter= $0.25,
We found $6.60 means that : i) 0.05n+0.1d+0.25q=6.60
we have 42 coins in all mean: ii) n+d+q=42
we have twice as many quarters as dimes mean that iii) q=2d
using the last relation we can reduce the number of unknowns by writing all q's in terms of d's as follows:
i) 0.05n+0.1d+0.25q=6.60
ii) n+d+q=42
substitute q with 2d:
i) 0.05n+0.1d+0.25(2d)=6.60
ii) n+d+(2d)=42
i) 0.05n+0.1d+0.5d=6.60
ii) n+d+2d=42
i) 0.05n+0.6d=6.60
ii) n+3d=42
multiply the second equation by -0.2, to eliminate the d's:
i) 0.05n+0.6d=6.60
ii) -0.2n-0.6d=-8.4
---------------------------
i+ii)
-0.2n+0.05n=6.60-8.4
-0.15n=-1.8
n=-1.8/(-0.15)=12
substitute in i):
0.05n+0.6d=6.60
0.05*12+0.6d=6.60
0.6+0.6d=6.60
0.6d=6.0
d=10
finally, from equation n+d+q=42:
12+10+q=42
22+q=42
q=42-22=20
Answer: # nickels=12, # dimes=10, # quarters=20
If the parent function is y = 2x, which is the function of the graph?
A. y = 0.5(2)x + 1 − 3
B. y = 0.5(2)x + 1 + 3
C. y = 0.5(2)x − 1 − 3
D. y = 0.5(2)x − 1 + 3
Description
Answers
Answer is C but if its on grad point your answer is 0.5(2)^x
The plate is rotated 90° about the origin in the counterclockwise direction. In the image trapezoid, what are the coordinates of the endpoints of the side congruent to side FG?
Answers
Please help me out!! ☮✌
Answers
a linear pair would equal 180 degrees
so 180-28 = 152
The longer leg of a right triangle is 4cm longer than the shorter leg. the hypotenuse is 8cm longer than the shorter leg. find the side lengths of the triangle
Answers
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8
Final answer:
To find the side lengths of the right triangle, we let the shorter leg be x cm, resulting in the longer leg and hypotenuse being (x + 4) cm and (x + 8) cm, respectively. Using the Pythagorean theorem, we establish the equation x² + (x + 4)² = (x + 8)², then solve for x to determine the side lengths.
Explanation:
The problem involves solving for the lengths of the sides of a right triangle using the Pythagorean theorem. Let the shorter leg of the triangle be x cm. According to the problem statement, the longer leg would then be x + 4 cm, and the hypotenuse would be x + 8 cm. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).
Using the theorem we can set up the equation:
x² + (x + 4)² = (x + 8)²
Solving for x will give us the lengths of the sides of the triangle:
Shorter leg: x cmLonger leg: x + 4 cmHypotenuse: x + 8 cmFelicity's insurance company pays for 65% of her elbow surgery, after she pays a $500 deductible.
How much will Felicity pay for her elbow surgery if it costs $9400?
A. $3290
B. $3465
C. $3615
D. $3790
Answers
9400 – 500(deductible)
The remainder is 8900, and the company pays for 65% of that. That means Felicity pays 35%.
35% of 8900 is 3115. Add on the 500 deductible and she pays 3615 in total.
Because you first have to take 9400•0.65= 6110
Then you subtract that from the total amount and the deductible like so:
9400-6110-500=3790
And that is how you come up with D as the answer
Determine the relationship between the lines that pass through the given points: line
a.(-3, 5) and (0, 7) line
b.(6, 2) and (9, 4)
Answers
slope = (7 - 5) / (0 - (-3) = 2/3
y = mx + b
slope = 2/3
(0,7)...x = 0 and y = 7
sub and find b, the y int
7 = 2/3(0) + b
7 = b....this is ur y int (0,7)
so ur equation for this line is : y = 2/3x + 7
b. (6,2)(9,4)
slope = (4 - 2) / (9 - 6) = 2/3
y = mx + b
slope(m) = 2/3
(6,2)...x = 6 and y = 2
sub and find b, the y int
2 = 2/3(6) + b
2 = 4 + b
2 - 4 = b
-2 = b...this is ur y int (0,-2)
so this equation is : y = 2/3x - 2
so " a " has a slope of 2/3 and a y int of 7 and " b " has a slope of 2/3 and a y int of -2.
ur lines are parallel lines.....parallel lines will have the same slope and different y intercepts <===
Simplify: (sin θ − cos θ) − (sin θ + cos θ)2 (5 points)
Answers
(sin(x) - cos(x)) - (sin(x) + cos(x))^2
(sin(x) - cos(x)) - (sin^2(x) + 2*sin(x)*cos(x) + cos^2(x))
(sin(x) - cos(x)) - (sin^2(x) + cos^2(x) + 2*sin(x)*cos(x))
(sin(x) - cos(x)) - (1 + 2*sin(x)*cos(x))
sin(x) - cos(x) - 1 - 2*sin(x)*cos(x)
- 2*sin(x)*cos(x) - cos(x) + sin(x) - 1
The final answer is choice D
the area of the a rectangular painting is 4902 cm squared. if the length of the painting is 86 cm, what is it’s width?
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The cost of 1 movie ticket is $7.50. The cost 2 movie tickets is $15.based on this constant rate of change what is the cost of 4 movie tickets
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How do you know that 6:14 is equivalent to 15:35 using a multiplication table?
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Answer:Sample answer: Using a multiplication table, you would see that 6 and 15 are multiples of 3 by factors 2 and 5. You would also see that 14 and 35 are multiples of 7 by factors 2 and 5.
The required equivalency of the ratios 6:14 and 15:35 is 3 / 7 = 3 / 7.
Given that,
To determine that 6:14 is equivalent to 15:35 using a multiplication table.
The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
the given ratios are,
1) 6 : 4 = 6/4 = 2* 3/ 2 *7
2) 15:35= 15 / 35 = 5 * 3 / 5 * 7
Implies both the ratios are equivalent, by
6 : 14 = 15 : 35
2[ 3 : 7] = 5 [ 3 : 7 ]
Thus, the required equivalency of the ratios 6:14 and 15:35 is 3 / 7 = 3 / 7.
Learn more about ratio here:
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Any nonzero number to the power of zero is equivalent to _____.
Answers
A motor racing circuit has the length of 5 5/6 milesa straight section of the circuit has the length 1 1/4 mileswhat fraction of the circuit is the straight section?
Answers
Answer:
3/14
Step-by-step explanation:
Triangles are congruent if they have the same ______________.
Answers
A used-boat dealership buys a boat for $2600 and then sells it for $3800. What is the percent increase?
the % increase is about ?%