Based on the calculations, the slowest rate is equal to 4 gallons per minute.
Given the following data:
Distance from shore = 12 km.In-rate = 3 gallons per minute. Rowing rate = 24 km per hour.How to calculate the slowest rate.Let's assume the boat would sink if it takes in more than 20 gallons of water.
Conversion:
24 km/h to km/min = [tex]\frac{24 }{60}[/tex] = 0.4 km/min.Translating the word problem into an algebraic expression, we have;
[tex]\frac{12}{0.4} \times 3 - \frac{12}{0.4} \times x\geq 30\\\\\frac{36}{0.4}-\frac{12x}{0.4} \geq 30\\\\90-\frac{12x}{0.4} \geq 30\\\\\frac{12x}{0.4} \geq90+30\\\\\frac{12x}{0.4} \geq120\\\\12x \geq120 \times 0.4\\\\12x \geq 48\\\\x\geq 4[/tex]
Therefore, the slowest rate is equal to 4 gallons per minute.
Read more on distance here: brainly.com/question/10545161
please help me with this question!
Pls answer this don’t need a explanation just a answer should be fine <33
Answer:
slope: 5/1x (or just 5x)
y-int: -3
Step-by-step explanation:
The y-intercept is (0,-3)
you can find the y-intercept where x = 0The slope of the line is 4
the slope is found by the equation below and any two points on the line, such as (0,-3) and (1,2)[tex]\frac{y2-y1}{x2-x1} =\frac{2--3}{1-0} =\frac{5}{1} =5[/tex]
Hope it helps!
i do not understand how to do this can someone pls help me with this question i’m trying to get a good grade
Answer:
63 ft^2
Step-by-step explanation:
3x3 + 6x9 = 63 ft^2
find the cube root of 29791/1331
Combine like terms 20(−1.5r+0.75)
can someone pls help i don't think im gonna pass this at all
Farmer Bob has a small square garden that is x feet by x feet. What is the area of his garden?
He decides to add 2 feet to one side of the garden and 7 feet to the other side.
What are the lengths of the sides of the new garden?
What is the area of the new garden?
Answer:
The area of the original garden is x^2 square feet.
The lengths of the sides of the new garden are x + 2 feet and x + 7 feet.
The area of the new garden, in square feet, is
[tex](x + 2)(x + 7)[/tex]
[tex] {x}^{2} + 9x + 14[/tex]
1) the area of his garden is, x² feet²
2) the lengths of the sides of the new garden are,
⇒ (x + 2)
⇒ (x + 7)
And, the area of the new garden is,
Area = x² + 9x + 14
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Farmer Bob has a small square garden that is x feet by x feet.
Now,
We know that;
Area of square = Side²
Here, Side = x feet
Hence, the area of his garden is,
Area = x × x
Area = x² feet²
Now, When He decides to add 2 feet to one side of the garden and 7 feet to the other side.
Then, the lengths of the sides of the new garden are,
⇒ (x + 2)
⇒ (x + 7)
Hence, the area of the new garden is,
Area = (x + 2) (x + 7)
Area = x² + 2x + 7x + 14
Area = x² + 9x + 14
Thus, 1) the area of his garden is, x² feet²
2) the lengths of the sides of the new garden are,
⇒ (x + 2)
⇒ (x + 7)
And, the area of the new garden is,
Area = x² + 9x + 14
Learn more about the multiplication visit:
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#SPJ3
Choose the correct graph of the function y=-2(2^x)
Answer:
fourth graph in second pic
Step-by-step explanation:
first lets substitute points to see whether the graph increases or decreases
sooo
y = -2(2^0)
y = -2
(0, -2)
y = -2(2^1)
y = -4
(1, -4)
y = -2(2^2)
y = -2(4)
y = -8
(2, -8)
with these points we can tell that the graph is decreasing, since there is two graphs decreasing, we can use the points to see if the parabola lies on the points (i think its called parabola)
its the last graph. fourth graph on page 2
Kara wants to make a histogram of the number of students who wear blue shirts in her class throughout the week. She gathered the following information:
Day 1 4 students
Day 2 9 students
Day 3 5 students
Day 4 7 students
Day 5 6 students
What data would be on the horizontal axis?
a. names of the students wearing the blue shirts
b. the exact color of the blue shirt
c. school day
d. number of students wearing blue shirts
Answer:
d. number of students wearing blue shirts
solve x over -3 = -15
A. 5
B. -45
C. -5
D. 45
Answer:
45
Step-by-step explanation:
plz help it's urgent
d)
[tex] \frac{2 {x}^{2} - xy + 2xy - {y}^{2} }{6xy - 3 {y}^{2} } = \frac{x(2x - y) + y(2x - y)}{3y(2x - y)} = \\ [/tex]
[tex] \frac{(x + y)(2x - y)}{3x(2x - y)} = \frac{x + y}{3x} \\ [/tex]
_________________________________
e)
I think -6 should be +6
or +3x should be -3x
[tex] \frac{ {x}^{2} + 2x + x + 2 }{ {x}^{2} + 2x + 3x + 6 } = \frac{x(x + 2) + (x + 2)}{x(x + 2) + 3(x + 2)} = \\ [/tex]
[tex] \frac{(x + 1)(x + 2)}{(x + 3)(x + 2)} = \frac{x + 1}{x + 3} \\ [/tex]
Or
[tex] \frac{x(x + 2) + (x + 2)}{x(x + 2) - 3(x + 2)} = \frac{(x + 1)(x + 2)}{(x - 3)(x + 2)} = \\ [/tex]
[tex] \frac{x + 1}{x - 3} \\ [/tex]
_________________________________
f)
[tex] \frac{ {a}^{2} - 5a - 4a + 20 }{ {a}^{2} - 5a + 2a - 10 } = \frac{a(a - 5) - 4(a - 5)}{a(a - 5) + 2(a - 5)} = \\ [/tex]
[tex] \frac{(a - 4)(a - 5)}{(a + 2)(a - 5)} = \frac{a - 4}{a + 2} \\ [/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️
Hey could anyone help with this question?
"A container is made up of a hemisphere on top of a cylinder, both with the radius 26cm. the total volume of the container is 230,000 cm find the height of the cylinder"
Thanks so much!
Answer:
Height = 108.35 cm
Step-by-step explanation:
Given :-
Radius = 26 cm
Total Volume = 230,000 cm³
To Find :-
Height
Formula Required :-
Volume (cylinder) = π x (radius)² x height
=> height = volume / π x (radius)²
Solving :-
h = 230,000 / (3.14 x 676)
h = 230,000 / 2122.64
Solution :-
Height = 108.35 cm
please help I need this asap
a os is correct.....,,..................
Simplify by using fractional exponents.
[tex]\sqrt[3]{x^{2} }[/tex]
Answer:
[tex](x^2)^\frac{1}{3}[/tex]
Step-by-step explanation:
1). [tex]\sqrt[n]{x}[/tex] = [tex]x^\frac{1}{n}[/tex]
Find the value of x. Write your anser in simplest form
Answer:Pythagorean therome
Step-by-step explanation:a^2+b^2=c^2
Pls help I will give BRAINLIEST シ♡︎
Answer:
3,1
Step-by-step explanation:
Answer:
(3,1)
Step-by-step explanation:
The table shows values for functions f(x) and g(x). Just answer this simple simple question for a brain list and extra points.
Answer:
x = 1 and
x = 3
Step-by-step explanation:
The solution is the x for each row where the f(x) and g(x) are the same. When x is 1, f(x) and g(x) are both 0.
When x is 3, f(x) and g(x) are both 6.
HELP ASAP I GIVE U BIG BRAIN AND 100 points!!Question 7
Solve the system of equations by elimination. Express the solution as an ordered pair.
3x−5y=11
x−4y=−8
(12, 5)
equations:
[tex]\sf 3x-5y=11[/tex] ---- equation 1[tex]\sf x-4y=-8[/tex] ---- equation 2To solve with elimination, either the x or y coefficient should be similar.
so we will multiply 3 with the second equation.Then,
[tex]\sf 3x-5y=11[/tex]
[tex]\sf 3x-12y=-24[/tex]
============== [ subtract equation 2 from equation 1 ]
[tex]\sf 7y = 35[/tex]
[tex]\sf y = 5[/tex]
For x,
[tex]\sf 3x-5(5)=11[/tex]
[tex]\sf 3x-25=11[/tex]
[tex]\sf 3x=11+25[/tex]
[tex]\sf x=\dfrac{36}{3}[/tex]
[tex]\sf x=12[/tex]
In ordered pair: (x,y) → (12, 5)
Identifying the Error
Aaron claims the same answer could also be found by adding either –5 + 3 or –3 + 5.
What is the error in Aaron’s reasoning?
The commutative property is not true for addition.
The negative signs were switched.
The numbers are not in the correct order.
The associative property was used.
Answer:
The negative signs were switched. This is the answer.
8.
In two hours a candy maker can produce 80 boxes that each contain 10 pieces of candy.
How many pieces of candy does the candy maker produce in six hours?
(A) 2400
(B) 4800
(C) 480
(D) 600
Answer:
2400 candies
Step-by-step explanation:
2 hrs - 80 boxes w/ 10 candies each = 800 candies
2 x 3 = 6
800 x 3 = 2400
So:
In 6 hours, the candy maker can make 2400 candies.
Hope this helped!
Answer:
2400 candy thank me later
help pleas, i’m fr lost
Answer:
x = 6°
Step-by-step explanation:
We know that all the interior angles of a triangle sum up to 180°.
(7x+3)°+(80°)+(55°) = 180°
(7x+3)°+(135°) = 180°
(7x+3)°= 45°
7x = 42°
x = 6°
which expressions are equivalent to 1/9
[tex]Answer:[/tex]
2/183/274/36etc.The line stops at 100/900.
Hope this helps, have a great day! ♣
Felicia brought 5/9 of a gallon of water for the track team. She poured the same amount of water into 10 cups. Then she calculated how much water she poured into each cup.
Which expression would you use to find the amount of water in each cup?
10 x 5/9
10 divided by 5/9
5/9 divided by 10
5/9 x 10
Answer:
5/9 divided by 10
Step-by-step explanation:
At McCord Middle School, 200 students rode their bike or walked to school. This is 40 percent of the total student body. How many students attend McCord Middle School?
HURRY N' ANSWER I GIVE BRAINIEST !!!!
Step-by-step explanation:
500 hundred students attend McCord Middle School.
Answer:
the answer is C: 500 students
Step-by-step explanation:
One hundred people buy gum balls from the gum ball machine. 45 of them get a red gum ball, 40 get a blue gum ball, and 15 get a yellow gum ball.
A. Develop a probability model to predict the color of the next gum ball purchased. Compare the probability of getting a red gum ball to the probability of getting a yellow gum ball.
B. Of the next 10 people to buy gum balls, 7 get yellow, 1 gets red and 2 get blue. Explain a possible reason for this outcome.
A) The experimental probabilities are:
R = 0.45, B = 0.4, and Y = 0.15
From this, we can expect to get a red ball on the next draw.
B) This can happen because the experimental probabilities are bad estimations, or because the balls on the machine are not replaced.
How to get the experimental probability?
A) The probability of getting each color will be given by the quotient of the number of balls of that color and the total number of balls.
For example, we know that 100 people buy gumballs, and 45 of them got red ones, so the experimental probability of getting a red gumball is:
R = 45/100 = 0.45
40 got a blue ball, so the probability of getting a blue ball is:
B = 40/100 = 0.4
15 got a yellow gumball, so the probability here is:
Y = 15/100 = 0.15
As you can see, the experimental probability of getting a red gumball is 3 times the probability of getting a yellow one. based on that, we can expect that the next gumball out from that machine will be red.
B) So now 10 more people go to the machine, and they get:
7 yellow, 1 red, and 2 blue gumballs.
This clearly does not follow the experimental probability we got above, why this may happen?
There are two main reasons.
First, to get a valuable experimental probability an experiment must be performed a lot of times, 100 is a ratter a small number. So the experimental probability that we got on point A may be a really bad estimation.
On another hand, there is a possibility that the gumballs in the machine are not being replaced. So initially, there is a fixed number of red, yellow, and blue balls.
This would mean that if we remove one red ball on the first try. Then for the next try, the probability of getting a red ball will be smaller (because now the machine has fewer red balls).
Then, because out of the 100 first balls most were red or blue, we can assume that most of the remaining balls on the machine are now yellow, and then the probability of getting a yellow ball is increased.
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
in a lottery game a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25. Find the probability that number drawn is a multiple of 3 or a multiple of 4
Answer:
Multiple of 4 = {4,8,12,16,20,24}
Step-by-step explanation:
A group of friends were working on a student film that had a budget of 1200. They spent al their budget on costums and equipment. They used 62% of their budget on equipment. How much money did they spend on costumes?
Answer:
744
Step-by-step explanation:
solved on calcultor
Budget of a film = 1200
Money they spend on equipment :-
= 62% of total expense
= 62% of 1200
[tex]= \frac{62}{100} \times 1200[/tex]
[tex] = \frac{62 \times 1200}{100} [/tex]
[tex] = \frac{74400}{100} [/tex]
[tex]\color{purple}= 744[/tex]
Which means , the group of friends spent 744 on equipment .
Then , money they spent on costume :-
= 100 - 62 % of 1200
= 38% of 1200
[tex] = \frac{38}{100} \times 1200[/tex]
[tex] = \frac{38 \times 1200}{100} [/tex]
[tex] = \frac{45600}{100} [/tex]
[tex] \color{orange} = 456[/tex]
Which means the group of friends spent 456 on costumes .
Therefore , the group of friends spent 456 on costumes .
Make a number line and mark the points that represent the following values of x. 10∙x=0
The point on a number line is the location of the point.
How to draw the number lineThe points are given as:
x = 10 and x = 0
This means that we mark a point at the point 10 on the number line, and another point at the point 0 on the same number line
However, the point 0 would come before point 10 because 0 is less than 10
See attachment for the number line
Read more about number lines at:
https://brainly.com/question/10851163
hello brainly team I need help
B. Square
Explanation:There are numerous different types of squares in the world. A parallelogram with four congruent sides and four right angles is called a quadrilateral. There are two sets of parallel sides and four right angles in a square, so it is also a rectangle. Because the sides of a square are parallel, it is also a parallelogram.
Question #2 Answer:D. I and IV
Explanation:[tex]The\ statement\ is\ always\ true\ is\\ I\ All\ square\ is\ a\ rectanjile\ and\ IV\ Any\ two\ opposite\\ -sides\ of\ a\ perallelogran\ are\ parallel[/tex]
[tex]So\ Chase\ D[/tex]
{[tex]{A\ souare\ is\ a\ special\ rectangle[/tex]
Question #3 Answer:B. 500 cm²
Explanation:Calculate area of the rectangle:
[tex]\curvearrowleft\\ area=500[/tex]
I hope this helps you
:)
-
If f(x) is an exponential function where f(3.5) = 25 and f(8.5) = 14, then find
the value of f(5.5), to the nearest hundredth.
Using an exponential function, it is found that f(5.5) = 19.8.
What is an exponential function?An exponential function is a function in which the growth rate is a percentage, modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.f(3.5) = 25 means that:
[tex]ab^{3.5} = 25[/tex]
[tex]a = \frac{25}{b^{3.5}}[/tex]
f(8.5) = 14 means that:
[tex]ab^{8.5} = 14[/tex]
Hence:
[tex]\frac{25}{b^{3.5}} \times b^{8.5} = 14[/tex]
[tex]25b^5 = 14[/tex]
[tex]b = \sqrt[5]{\frac{14}{25}}[/tex]
[tex]b = 0.89[/tex]
[tex]a = \frac{25}{0.89^{3.5}} = 37.59[/tex]
Hence, the function is given by:
[tex]y = 37.59(0.89)^x[/tex]
Then, when x = 5.5:
[tex]f(5.5) = 37.59(0.89)^{5.5} = 19.8[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
Answer:
Step-by-step explanation:
19.83
Given ether equation y=5x+3 what is the slope of a line that is parallel