Answer:
The values are [tex]x = 46 miles /hr [/tex]
[tex]y = 4 \ miles / hr[/tex]
Step-by-step explanation:
From the question we are told that
The distance covered is d = 264 miles
The time taken is [tex]t_1 = 6 hours[/tex]
The time taken for the return trip is [tex]t_2 = 5.5 \ hours[/tex]
Generally during the trip toward fishing spot , the velocity is mathematically represented as
[tex]v_t = \frac{d}{t_1 } = x - y[/tex]
=> [tex]v_t = \frac{264}{6 } = x - y[/tex]
=> [tex]x - y = 44 \cdots 1 [/tex]
Generally during the return trip , the velocity is mathematically represented as
[tex]v_r = \frac{d}{t_2} = x+ y[/tex]
=> [tex]v_r = \frac{264}{5.5} = x+ y[/tex]
=> [tex]48 = x+ y\cdots 2[/tex]
add equation 1 and 2
[tex]2x = 92[/tex]
=> [tex]x = 46 miles /hr [/tex]
substituting this into equation 1
[tex] 46 - y = 44 \cdots 1 [/tex]
=> [tex]y = 4 \ miles / hr[/tex]
Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each
touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion. The team scored one
fewer 2-point conversions than extra kicks. The team scored 10 times during the game. How many touchdowns were
made during the game? Write and solve a system of equations to get your answer.
Answer:
Five touchdowns were made in the game
Step-by-step explanation:
Here, we want to know the number of touchdowns made during the game.
We proceed as follows;
Let the number of touch downs be x
So the total points earned through touchdowns is 6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So the total number of score times will be ;
x + y + y-1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
So;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So now solve simultaneously
From ii, y = 13 - 2x
Put this into i
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
There are five touchdowns in the game
There are Five touchdowns were made during the game.
Here,
Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown.
After each touchdown, the team can earn one point for the extra kick or two points for a 2-point conversion.
The team scored one fewer 2-point conversions than extra kicks. The team scored 10 times during the game.
We want to know the number of touchdowns made during the game.
What is system of equations?
A system of equations is a collection of two or more equations with a same set of unknowns.
Now,
Let the number of touch downs be x
So, the total points earned through touchdowns is;
6 * x = 6x
The number of scores is 10 times
Let the number of extra kick be y which means that the number of conversions will be (y-1)
So, the total number of score times will be ;
x + y + y - 1 = 10
x + 2y = 11 •••••••••(i)
Now let’s work with points
Touch down points = 6 * x = 6x
Points from extra kick = 1 * y = y
Points from 2-point conversions = 2(y-1) = 2y - 2
Hence;
6x + y + 2y -2 = 37
6x + 3y = 37 + 2
6x + 3y = 39
divide through by 3
2x + y = 13 •••••••(ii)
So, now solve this;
From ( ii ), y = 13 - 2x
Put this into ( i )
x + 2(13-2x) = 11
x + 26 - 4x = 11
x -4x = 11-26
-3x = -15
x = -15/-3
x = 5
Hence, There are Five touchdowns were made during the game.
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write the following ratio in their simplest form 25:75
Answer:
1/3 :)
Step-by-step explanation:
List the domain and range of each function (1,-4),(2,-3),(3,-2),(4,-1)
Answer:
Domain are all x values
Range are all y values
Domain:(1,2,3,4)
Range:(-4,-3,-2,-1)
Help please within the next hour
Answer:
its the second choice x=-1+[tex]\sqrt{17}[/tex]
Step-by-step explanation:
Identify ZABF by clicking and dragging the small yellow dots to shade the
angle.
GIVING BRAINIEST
what do I put in the box
Answer:
You actually have it right 9.
Step-by-step explanation:
I got a 100% on the quiz!
Mark me BRAINLIEST!!!
Select all the lines that have a slope of 5/2.
Click Image to Draw:
A. A
ΤΑ
B
I
В. В
C.C
D. D
E. E
Explain Your Reasoning:
Answer:
A rate of 5/2 means that:
If we move 2 units to the right, we move 5 units up.
Let's see all the graphs, the easier way to know this is:
In any point of the line, move to the right 2 units.
Then from that point, move up until you meet again with the line, if you moved 5 units, then the slope is 5/2.
A) The slope is 5/2.
B) The slope is 4/2
C) the slope is 5/2
I can not see very well graphs E and D in the image.
E) may have a slope of 5/2, you should measure it.
D has not a slope of 5/2, you can compare it with A and see that is totally different, so you can discard option D.
Lines A and C are having a slope of (5/2) and line E may have the slope of (5/2).
Step-by-step explanation:
Given information:
Line A,B,C,D and E having different slopes;
Now as we know that equation of the line is:
[tex]y=mx+c[/tex]
where, m is the slope of the line
Now, Also [tex]dy/dx=m[/tex]
Hence, the slope of the line can also be calculated according to that.
Now, as given in the graph:
Line A is having [tex]dy=10\; \text {and} \; dx =4[/tex]
Hence slope of line A
[tex]dy/dx(A)=5/2[/tex]
Similarly:
Line B is having slope of (4/2)
Line C is having slope of (5/2)
Line D is not having slope of (5/2)
And Line E may have the slope of (5/2).
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Brainliest if you get right
Answer:
14y + -3
Step-by-step explanation:
9y + 5y = 14y
-3 = -3
14y + -3
Sam made a 70% on his test. If there were 80 questions on the test, how many did he get right?
Answer: He got 56 questions right.
Step-by-step explanation:
Answer:
Sam got 56 questions correct.
Step-by-step explanation:
If there were 80 questions on the test, sam got 56 correct in order to get a 70%.
To find this, you must find 70 percent of 80 questions. You first must turn 70% into a decimal, making it 0.70. You multiply this decimal by the 80 questions on the test. You then get 56. Meaning they got 56 right. I hope this helps!
Math question! Need help! :D
Answer:
3
Step-by-step explanation:
-21/-7 = 3
negative times negative or negative divided by negative is always positive
What are the x-intercepts of the graph of the function y=6tan (x/2)-3? Use your graphing calculator to estimate
the answer.
(0.9273 +17,0), where n is any integer
(0.9653 +12,0), where n is any integer
(0.9273 +2n7,0), where n is any integer
(0.9653 +217,0), where n is any integer
Answer:
C on edge
Step-by-step explanation:
The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
the function is,
y=6tan (x/2)-3
we know that,
the x-intercepts of the graph of the function, we put y = 0
so, we get,
6tan (x/2)-3 = 0
or, tan (x/2) = 3/6
or, tan (x/2) = 1/2
or, x/2 = 0.4636
The period of tangent is π, so we have,
x/2 = 0.4636 + nπ
or, x = (0.9273 +2nπ)
Hence, The solution is, (0.9273 +2nπ,0), where n is any integer, are the x-intercepts of the graph of the function y=6tan (x/2)-3.
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A rectangle has a width of x + 2 and a length of 2x - 1, with an area of 42 inches squared. Find the perimeter of the rectangle
Answer:
26 inches
Step-by-step explanation:
Area of rectangle
= length ×width
= (2x -1)(x +2)
= 2x(x) +2(2x) -1(x) -2 (expand)
= 2x² +4x -x -2
= 2x² +3x -2
Given that the area is 42 inches squared,
2x² +3x -2= 42
2x² +3x -2 -42= 0 (-42 on both sides)
2x² +3x -44= 0 (simplify)
(x -4)(2x +11)= 0 (factorise)
x -4= 0 or 2x +11= 0
x= 4 or 2x= -11
x= -11/2 (*reject)
Length of rectangle
= 2(4) -1
= 8 -1
= 7 inches
Width of rectangle
= 4 +2
= 6 inches
Perimeter of rectangle
= 2(width +length)
= 2(7 +6)
= 2(13)
= 26 inches
*We reject x= -11/2 because the length and the width of the rectangle would be a negative number, which is not possible.
If the area of the base is 24 cm2, how would you
calculate the volume?
A V = 24h
B V = n(24)?h
CV = (24)
DV = (24)h
Answer:
AV and DV both are correct
a go-karts top speed is 607,200 feet per hour what is the speed in miles per hour
Answer:
115
Step-by-step explanation:
5280 feet/mile
607200/5280=115
:>
Answer: 115 mph
Convert ft to miles
can someone help me find the values of y and z?
Answer:
y= 134.5 and z= 44.5 :)
Step-by-step explanation:
6z-87=180
6z=267
267/6=44.5
180-44.5=134.5
Answer:
y=99, z=81
Step-by-step explanation:
the angle above y is corresponding to 81, so if you substitute 81 in that place then it'll be angles on a straight line;
81 + y =180
(add like terms)
y =180 - 81
=99.
thus, y is 99. Once you do that, y and z are on a straight line so you solve for x using the formula for angles on a straight line;
y + (6z - 87)
(substitute y with 99)
99 + 6z - 87 =180
6z + 12 =180
(add like terms)
6z =180-12
6z =168
(divide both sides by six)
6z /6= 168/6
z = 28
(then you solve everything that was in the bracket for z)
(6z - 87)
(substitute z with 28)
=6 × 28 - 87
=168 - 87
=81
therefore, y =99 and z =81
Which feature of the Earth is shown below and is created by farge amounts of in our core?
Answer:
C) Earth's Magnetic Field.
Step-by-step explanation:
Those lines are representing the magnetic pulls/fields that go around the Earth. Another clue that is given is the N and S, which represent North and South, which pertains to the north pole and south pole. These poles have a lot of magnetic fields around them.
Answer:
b MAntle convection currents
brainliest if right!!!
Answer:
The answer is Letter A.
Step-by-step explanation:
Find the value of x.
[tex]2x + 50 = x + 76 \\ 2x - x = 76 - 50 \\ x = 26[/tex]
Substitute x to the equation for angle 2.
[tex]2x + 50 \\ = 2(26) + 50 \\ = 52 + 50 \\ = 102[/tex]
#CarryOnLearning
Answer:
A) 102
Step-by-step explanation:
Alternative Exterior Theorem: If two parallel lines are cut by a transversal, then the pairs of alternative exterior angles are congruent.
Because of this theorem, we know that <2 and <8 are congruent, so we can set these equations to be equal to each other, like so:
2x + 50 = x + 76
Then, we need to find the x value, so solve from there.
2x + 50 = x + 76
x + 50 = 76 [Subtract x from both sides of the equal sign]
x = 26 [Subtract 50 from both sides of the equal sign]
So now that we have our x value, all we have to do is plug in that value to the <2 equation.
2x + 50
2(26) + 50
52 + 50
102
Hope this helps! I apologize if I get it incorrect,
help pls I'm not smart enough for this..
Answer:
y = 1/2x, 2:1y = 5x, 1:5y= 1.5x, 16:24y = 3x, 1:3Step-by-step explanation:
Number replaces with each corresponding value.
The number on the left is the x, and the number on the right of the colon is y.
Simply replace x and if you get the y, it is a match.
y = 1/2(2) = 1
y = 5(1) = 5
y = 1.5(16) = 16
y = 3(1) = 3
Someone help me please
Answer:
good luck
Step-by-step explanation:
Help plskekekekeesmmsmxmxmxx
Answer:
1.8 mile i think but do the math cz it should be.
PLEASE HELP WORTH 25 POINTS, find a and b.
Answer:
a = 12 b = 30
Step-by-step explanation:
What is the value of the x-coordinate that is 9 units to the left of (4, -7)?
Answer:
-5
Step-by-step explanation:
Sienna is saving for an MP3 player that costs $200. She has $50 already saved in the bank and is going to save $25 each month.
Answer:
what's the question
Step-by-step explanation:
Clark made four of his truck payments late and was fined four late fees the total change to his saving from late fees was -52 how much was one late fee
IF YOU GET THIS RIGHT (First )YOU GET BRAINLIEST AND FIVE STAR RATING AND THANKS
A cowboy rides to the town on Friday. Three days later, he leaves on Friday. How is this possible?
Answer:
The name of the horse is Friday.
Step-by-step explanation:
Cowboy and his Horse !
Write the point-slope form of the line that passes through (-8, 2) and is perpendicular to a line with a slope of -8. Include all of your work in your final answer. Type your answer in the box provided to submit your solution.
Answer:
y - 2 = 1/8(x+8)
Step-by-step explanation:
The slope of lines that are perpendicular are each other's opposite reciprocal.
so, the reciprocal of -8 = -1/8, then find the opposite of -1/8 which is 1/8.
Point-slope form : y - y1 = m(x - x1)
(x1,y1) = (-8,2)
so, y - 2 = 1/8(x+8) is our final answer!
Pls answer :(
I’ll appreciate!
Answer:
The answer would be 2.1 so it must be D
Step-by-step explanation: divide them
Solve for x.
y=(2 + x)m
Answer:
x = [tex]\frac{y-2m}{m}[/tex]
Step-by-step explanation:
Given
y = (2 + x)m ← distribute parenthesis by m
y = 2m + mx ( subtract 2m from both sides )
y - 2m = mx ( divide both sides by m )
[tex]\frac{y-2m}{m}[/tex] = x
Please help!!!
In 1/4 hour , A baker decorates 7/8 of a cake.
What is the value of x
Answer:
A, 38
Step-by-step explanation:
the 180 - 114 = 66, so the vertical angle is 66, x = 38, 38 x 2 = 76 + 38 + 66 = 180