A fishermen can save gas by implementing the strategies Plan Efficient Routes, Maintain Proper Boat Speed, Reduce Idle Time, Optimize Load and Equipment and Regular Maintenance
Fishermen can save gas by implementing the following strategies:
Plan Efficient Routes: By planning their fishing trips in advance and mapping out efficient routes, fishermen can minimize the distance traveled and save on gas consumption.
Maintain Proper Boat Speed: Operating the boat at an appropriate speed can significantly impact fuel efficiency.
Reduce Idle Time: Minimizing idle time while on the water can help save gas.
Optimize Load and Equipment: Carrying excessive weight on the boat can increase fuel consumption.
Regular Maintenance: Keeping the boat and engine properly maintained is essential for fuel efficiency.
Utilize Wind and Tides: When feasible, fishermen can take advantage of wind and tidal currents to reduce reliance on the engine.
Share Resources: Collaborating with other fishermen or joining fishing cooperatives can help share resources and reduce individual fuel consumption.
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9(b ⋅ c) = (9 ⋅ b)c is an example of which algebraic property? Group of answer choices
Answer: Associative Property of Multiplication
It states that a(b*c) is the same as (a*b)*c
Hope this helped!
solve 2√5 as the square root of a single number
Answer: [tex]\sqrt{20}[/tex]
Work Shown:
[tex]2\sqrt{5} = \sqrt{4}*\sqrt{5}\\\\2\sqrt{5} =\sqrt{4*5} \text{ use the rule } \sqrt{x}*\sqrt{y} = \sqrt{x*y}\\\\2\sqrt{5} = \sqrt{20}[/tex]
A ladder leaning against a wall forms a triangle and exterior angles with the wall and the ground. What is the measure of exterior angle formed on the ground?
5 degrees
90 degrees
125 degrees
180 degrees
Yo sup??
we know that the sum of all the angles of a triangle is 180
therefore
11x+7x+90=180
18x=90
x=5
exterior angle formed on the ground=180-11x
=180-55
=125
Hope this helps
Solve these word problems by graphing, substitution or elimination.
(1) The numbers are 8 and 16.
(2) John have 12 nickels and 6 dimes.
Solution:
(1) Let x and y be the two numbers.
Sum of two numbers = 24
⇒ x + y = 24 – – – – (1)
One number = Other number – 8
⇒ x = y – 8 – – – – (2)
Substitute equation (2) in equation (1), we get
⇒ y – 8 + y = 24
⇒ 2y – 8 = 24
Add 8 on both side of the equation, we get
⇒ 2y = 32
Divide by 2 on both sides.
⇒ y = 16
Substitute y = 16 in equation (2)
⇒ x = 16 – 8
⇒ x = 8
Hence the numbers are 8 and 16.
(2) Let n and d be the nickels and dimes respectively.
Nickels + Dimes = 18
⇒ n + d = 18 – – – – (1)
Nickles = Dimes + 6
⇒ n = d + 6 – – – – (2)
Substitute equation (2) in equation (1), we get
⇒ d + 6 + d = 18
⇒ 2d + 6 = 18
Subtract 6 from both side of the equation.
⇒ 2d = 12
Divide by 2 on both side of the equation, we get
⇒ d = 6
Substitute d = 6 in equation (1), we get
⇒ n = 6 + 6
⇒ n = 12
Hence John have 12 nickels and 6 dimes.
ASAP PLEASE
S = 2πr2 + 2πrh
In the cylinder shown, the radius is 3 inches and the height is 7 inches. Find the surface area of the cylinder. Round your answer to the nearest tenth. A) 89.2 in2 B) 131.9 in2 C) 188.5 in2 D) 197.9 in2
Answer:
C) 188.5 in2
Step-by-step explanation:
The solution is 188.5 in2. To determine the surface area, plug 3 and 7 into the formula.
S = 2π32 + 2π(3)(7) ≈ 188.5 in
Answer:
131.4
Step-by-step explanation:
sum of money is placed at simple interest for 3 years at 10% per annum and then the amount is invested for 2 years at the same rate at compound interest . If the total amount of 5 years became Rs. 471900, what was the sum?
Answer:
sum was 300000
Step-by-step explanation:
let sum of money is placed is x rs
Term T = 3 years, rate R = 10%
Then simple interest for for 3 years is
[tex]SI= \frac{PTR}{100}\\ SI=\frac{x\times 3\times 10}{100} \\SI = 0.3x[/tex]
Sum of x will become x+0.3x = 1.3x after 3 years. now this 1.3x is kept for compound interest for two years. ie
[tex]A =P[1+R]^t\\471900=1.3x[1+\frac{10}{100} ]^2\\x=\frac{471900}{1.573} \\x=300000[/tex]
Sum was 300000
At the simple interest rate, the rate is applied only to the initial sum, while
at the compound interest, the rate is applied to the amount in the account.
The sum of money is approximately Rs 355,847.466Reasons:
Let P represent the sum of money invested, we have;
[tex](P + P \cdot r \cdot t_1) \times (1 + r)^{t_2} = \mathbf{ 471900}[/tex]Where;
P = The initial sum invested
r = The simple and compound interest rate applied = 10% = 0.1
t₁ = The number of years the money is placed at simple interest = 3 years
t₂ = The number of years the money is placed at compound interest = 2 years
Therefore;
[tex]\mathbf{(P + P \times 0.1 \times 3) \times (1 + 0.01)^{2}} = 471900[/tex]
Which gives;
[tex]P \cdot (1 + 0.3 ) \times (1 .01)^{2} = 471900[/tex]
[tex]\displaystyle P =\mathbf{\frac{471900}{(1 + 0.3 ) \times (1 .01)^{2} }} \approx 355,847.466[/tex]
The sum of money invested, P ≈ Rs 355,847.466
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Let the population of a city be 1,006,150 people. What is the least number of people that share a birthday?
Answer:
The least number of people that share a birthday is 1, no matter what the size of the population is.
Step-by-step explanation:
Tricky Question
Suppose there is one person that has their birthday on Feb 02. It's perfectly possible that no one else in the city has their birthday on the same day, i.e. their birthdays are any time except Feb 02. So that person will be the only one who has that as a birthday. It's even possible that no one has a birthday on Feb 02, so the answer will be zero, but it's not possible to talk about sharing if no one is doing it, so the answer is
The least number of people that share a birthday is 1, no matter what the size of the population is.
Note: If this question is talking about probability calculations, then the matter is totally different.
PLEASE HELP!!!!The point (−2,−3) is rotated 90 degrees counterclockwise using center (0,0) . What are the coordinates of the image?
a (3,−2)
b (−3,2)
c (−3,−2)
(d 3,2)
Answer: a 3,-2
Step-by-step explanation:
When a point is rotated, it must be rotated around a center.
The coordinate of the image of (-2,-3) is (3,-2)
The point is given as:
[tex](x,y) = (-2,-3)[/tex]
The rule of 90 degrees counterclockwise rotation is:
[tex](x,y) \to (-y,x)[/tex]
So, we have:
[tex](-2,-3) \to (3,-2)[/tex]
Hence, the coordinate of the image of (-2,-3) is (a) (3,-2)
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Which ordered pair (x,y) makes this relation a function?
{(2,3), (–2,5), (4,4), (-4,5), (x,y)}
A. (-4, -1)
B. (-1,-1)
C. (-2,-1)
D. (2, -1)
Answer:
Step-by-step explanation:
A i think sorry if it is wrong
The only ordered pair that can be added to make the relation a function, without repeating an x-value, is option B. (-1,-1).
The question is asking which ordered pair (x,y) makes the given set of ordered pairs a function. A function is defined as a relation where every x-value (input) is associated with exactly one y-value (output). We already have the points (2,3), (–2,5), (4,4), and (-4,5) in our set. To maintain the definition of a function, the x-value of the ordered pair we are going to add cannot be the same as any x-value already present in the set. Looking at our options:
A. (-4, -1) - This would not work because the x-value -4 is already paired with the y-value 5 in our set.B. (-1,-1) - This is a possibility as the x-value -1 is not in the set.C. (-2,-1) - This would not work because the x-value -2 is already paired with the y-value 5 in our set.D. (2, -1) - This would not work because the x-value 2 is already paired with the y-value 3 in our set.Therefore, the only ordered pair that makes the relation a function is option B. (-1,-1).
the length of a rectangle is 8 feet more its width.the area of the rectangle is 84 square feet find its length and width
Answer:
length=8+w........1
area=84square feet........2
area of rectangle =length x width
area=(8+w)x W
area=8w+w^2
84=8w+w^2
w^2+8w+(4^2)=84+(4^2)
(w+4)^2=84+16
(w+4)^2=100
√(w+4)^2=√100
w+4=±100
w+4=100 or w+4=-100
w=96 or w=-104
the answer is 96
Subtract. (6x - 3) - (2x -2) What is the answer?
Answer:
Steps. (6x - 3) - (2x -2)= 6x - 3 - 2x + 2. = (6x - 2x) + (-3 + 2) = 4x + (-1 ) 4x - 1 ---> Answer.
Plz help!!! Will give Brainliest Given a right triangle with legs a, b and hypotenuse c, solve for c if a = 11 and b = 60
Answer:
Right angle triangle hypotenuse formula
c = √a²+b²
a=11
b=60
c = √11² + 60²
c = 3611
Step-by-step explanation:
I hope this helps!
Can someone please help me with this 7th grade math homework
Answer:
2.19
Step-by-step equation:
Which symbol makes the following number sentence correct?
4.567 4.576
Answer:
←
Step-by-step explanation:
less than as 4.567 is less than 4.576
The correct symbol to use between 4.567 and 4.576 is '<', since 4.567 is less than 4.576.
Explanation:The question is asking to choose the correct mathematical symbol that makes the given number sentence true. The two numbers are 4.567 and 4.576. In this case, since 4.576 is greater than 4.567, the correct symbol would be less than ('<'). Thus, the correct number sentence is 4.567 < 4.576.
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if f(x)=3x-2 and g(x)=2x+1 find (f-g) (x)
Answer:x-1
Step-by-step explanation:
please tell explain what the right answer is
Angle 3 and angle 4 are supplementary angles and when added together need to equal 180 degrees.
To find angle 4 subtract angle 3 from 180.
Angle 4 = 180 - 101 = 79 degrees.
Answer:
your answer is correct
Step-by-step explanation: because each angle equals the same thing
Simplify the expression X +3+ 5X
The simplified form of the given expression is 6x+3.
The given expression is x+3+5x.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression can be simplified as follows
Now, x+3+5x
Add like terms
(x+5x)+3
= 6x+3
Therefore, the simplified form of the given expression is 6x+3.
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Each class at Greenville school has 22 children enrolled.the school has 24 classes how many children are enrolled at Greenville school?
Answer:
528
Step-by-step explanation:
because each class has 22 students and there are 24 classes you multiply them
Answer: 528 children
Step-by-step explanation: 22 children in each class. 24 total classes.
22•24=528
What are carbonhydrates
Answer:
According to the dictionary, it is any of a large group of organic compounds occurring in foods and living tissues and including sugars, starch, and cellulose.
Simplify 7x+4-2x+6 pls help
Answer:
5x+10
Step-by-step explanation:
you will add 7x_2x=5x
then 4+6=10
What is the square root of the number 10
Answer:
3.16227766017
Step-by-step explanation:
I think so
A rectangle has an area of 100 square centimeters. The base of the rectangle is 25 centimeters.
What is the height of the rectangle?
O
4 cm
10 cm
76 cm
2400 cm
Next →
Answer:
The height of the rectangle is 4 cm.
Step-by-step explanation:
You find area by multiplying base and height.
The formula is A=bh
so 100=25h
25 times 4 is 100
100=25*4
4cm is your answer
What is the equation in standard form of the line that passes through the point 10,-3 and has a slope of 1/5
Answer: [tex]5y - x = -25[/tex]
Step-by-step explanation:
The formula for calculating equation of line when a point and a slope is gives is :
[tex]y - y_{1} = m ( x - x_{1})[/tex]
[tex]x_{1} = 10[/tex]
[tex]y_{1} = -3[/tex]
[tex]m = \frac{1}{5}[/tex]
substituting into the formula , we have
[tex]y - (-3) = \frac{1}{5}(x - 10 )[/tex]
[tex]y + 3 = \frac{1}{5}(x - 10 )[/tex]
multiply through by 5 ,
[tex]5 (y+ 3 ) = x - 10[/tex]
[tex]5y + 15 = x - 10[/tex]
in standard from , we have
[tex]5y - x = -10 - 15[/tex]
[tex]5y - x = -25[/tex]
find the length of the orther leg when one leg is 20 and hypotenous is 25
Answer:
15
Step-by-step explanation:
Do 25 ^ 2 = 625
Do 20 ^ 2 = 400
Because you're finding something that's nor the hypotenuse you subtract
So you do 625 - 400 = 225
Then you do the square root of 225 to get the answer
Which is 15
Answer:
15
Step-by-step explanation:
Let 'l' be the length of the other leg
Using pythagoras theorem,
25² = 20² + l²
625 = 400 + l²
225 = l²
l = 15
Together, teammates Pedro and Ricky got 2687 base hits last season. Pedro had 283 more hits than Ricky. How many hits did each player have?
Answer:
Ricky hits 1202 base
Pedro hits = 1485 base
Step-by-step explanation:
Pedro + Ricky = 2687 hits
Let Ricky hits = x
So the Pedro hits will be = x + 283
( x + 283 ) + x = 2687
2 x + 283 = 2687
2 x = 2687 - 283
2 x = 2404
x = 1202
So the Ricky hits 1202 base
Pedro hits (1202 + 283) = 1485 base
Final answer:
To determine the number of hits Ricky and Pedro had, a system of equations was set up and solved. Ricky had 1202 hits, while Pedro had 1485 hits last season.
Explanation:
To solve the problem involving teammates Pedro and Ricky's base hits, we need to set up a system of equations based on the information given:
Pedro and Ricky's hits together total 2687.
Pedro had 283 more hits than Ricky.
Let's denote Ricky's hits as R and Pedro's hits as P. The two equations representing the situation are:
R + P = 2687
P = R + 283
To find the number of hits Ricky had, we can substitute the second equation into the first:
R + (R + 283) = 2687
2R + 283 = 2687
2R = 2687 - 283
2R = 2404
R = 2404 / 2
R = 1202
Now that we have Ricky's hits, we can find Pedro's hits by adding 283 to Ricky's total:
P = R + 283
P = 1202 + 283
P = 1485
Therefore, Ricky had 1202 hits, and Pedro had 1485 hits last season.
A ball set that is sold for $79 is discounted %15 what is the sale price
Answer:
$67.15
Step-by-step explanation:
79*(1-.15)
= $67.15
Please need answer quick
Answer:
900
Step-by-step explanation:
You first split it up with 12x10x25 for the smaller one and you do 20x12x25 for the other
I hope this helps if you need the work i can give it to you
Someone pls help me with this
Roy is hiking down a mountain at an average rate of 3 miles per hour. He wants to know how far he can hike in a given number of hours. Which is the dependent variable in this problem situation?
Answer:
can you be more clear
Step-by-step explanation:
Answer:
distance is the dependent variable because it depends on the time hiked.
Step-by-step explanation:
suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level ,L ,after D days . In how any days will the water level be 26 feet
Equation: L= -0.5D+34.
The water level be 26 feet in 16 days.
Step-by-step explanation:
Let us consider the initial level (x=0) of the water is 34 feet. Then its coordinate point can be written as (0,34).
The water is receding at the rate 0.5 feet per day, which given us the information that 0.5 is the slope since it is the rate of change and it is decreasing so it is a negative slope.
⇒m= -0.5.
The line equation is y = mx+c. Let us rewrite as L= mD+c.
Where L is the level of water(y-axis) and D is the days(x-axis) and c is y-intercept.
⇒L= (-0.5)D+c.
To find y-intercept, substitute (0,34) (the known point from the graph) in the equation. Also, the point in y axis when x=0 is y-intercept.
34= (-0.5)(0)+c.
c=34.
∴L= (-0.5)D+34.
To find the days when the water achieves level as 26 feet:
26 = (-0.5)D+34.
26-34= (-0.5)D.
-8 = (-0.5)D.
D= [tex]\frac{-8}{-0.5}[/tex].
D= 16.