ricks bikes 24 miles in 3/4 of an hour what is the speed in the miles per hour.
Answer:
=32
Step-by-step explanation:
the speed = distance / time = 24 / (3/4) = 24*4 / 3 = 96 / 3 = 32 (mile/hour)
A Freight Train Travels 144 miles in 6 hours.How Far will it travel in 15 hours
Please help me out kindda hard
Hello there, there are multiple ways of solving this problem, let me show you.
[tex]{\huge{\boxed{\mathbb{QUESTION}}}}}[/tex]
A Freight Train Travels 144 miles in 6 hours. How Far will it travel in 15 hours?
_________________
For this problem I will show you 2 methods.
[tex]{\huge{\boxed{\mathbb{METHOD\:ONE}}[/tex]
Cross multiplication, cross multiplication involves algebra to use.
Let x be our answer for this problem. Here is our it would look like
[tex]\frac{6}{144}=\frac{15}{x}[/tex], now we will cross multiply, here is what it'd look like now.
[tex]6x=2160[/tex], then do simple algebra and divide both sides by 6. and then we get [tex]x=360[/tex] miles in 15 hours.
_________________
[tex]{\huge{\boxed{\mathbb{METHOD\:TWO}}[/tex]
For method two we can look for the unit rate. Also known as our rate for one.
divide 144 by 6 and we get 24, then multiply it by 15 and we get 360.
_________________
[tex]{\huge{\boxed{\mathbb{EXACT\:ANSWER}}[/tex]
360 miles in 15 hours.
Have a good day :) !The line 2x + 3y = 8 meets the curve 2x^2 + 3y^2 =110 at the points A and B. Find the coordinates of A and B.
extra: This is the first time I’ve seen this type of question without a diagram. Pls help!
Answer:The cordinates of A and B are (-3.8, 5.2) and (7, -2).
Step-by-step explanation:From (1), we get x = (8 - 3y) / 2 ––(3)
Substitute (3) into (2),
2 [(8 - 3y) / 2]² + 3y² = 110
(8 - 3y)² + 3y² = 220
15y² - 48y - 156 = 0
Therefore y = 5.2, then x = (8 - 3×5.2) / 2 = -3.8
OR y = -2, then x = [8 - 3×(-2)] / 2 = 7
Answer:
The coordinates are A. (-3.8, 5.2) and B. (7, -2).
Step-by-step explanation:
At A and B the coordinates satisfy both equations so we solve simultaneously using substitution:
2x^2 + 3y^2 = 110
2x + 3y = 8
From the above equation
x = (8 - 3y)/2
So substituting for x in the first equation:
2 [(8-3y)/2]^2 + 3y^2 = 110
(8-3y)^2 / 2 + 3y^2 = 110
Multiply through by 2:
(8 - 3y)^2 + 6y^2 = 220
64 + 9y^2 - 48y + 6y^2 - 220 = 0
15y^2 - 48y - 156 = 0
3(5y^2 - 16y - 52) = 0
(5y - 26)(y + 2) = 0
y = 26/5, 2
y = 5.2, -2.
So substituting in 2x + 3y = 8
When y = -2:
2x - 6 = 8
2x = 14
x = 7.
When y = 5.2
2x + 3(5.2) = 8
2x = 8 - 15.6 = -7.6
x = -3.8.
Andrew measured a line to be 12.2 inches long. If the actual length of the line is 12.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
The percent error of the measurement, to the nearest tenth of a percent is 3.9%
Given:
Length measured = 12.2 inches
Actual length = 12.7 inches
Error = Actual length - Length measured
= 12.7 - 12.2
= 0.5
Percentage error = error / actual value × 100
= 0.5/12.7 × 100
= 0.039370078740157 × 100
= 3.937%
Approximately,
Percentage error = 3.9%
Therefore, the percent error of the measurement, to the nearest tenth of a percent is 3.9%
Learn more about percentage error:
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PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
On a sunny day, a 4-foot red kangaroo casts a shadow that is 5 feet long. The shadow of a nearby eucalyptus tree is 20 feet long. Write and solve a proportion to find the height of the tree.
Answer:
25 feet long
Step-by-step explanation:
this is because the ratio is 4:5
so if one side is 20 then the other side must be in proportion to 4:5
multiply both sides by 5 and u get 20:25
hope that helps
A man is 5 feet 9 inches tall. To find the height of a tree, the shadow of the man and the shadow of
the tree were measured. The
length of the man's shadow was 3 feet 6 inches. The length of the tree's shadow was 10 feet
6 inches. What is the height of
the tree?
Answer:
17.25
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
I assume the problem is to graph the lines. The easiest is to pick two values of x and calculate y for each line. For example:
21. y = -4x + 5 I'll randomly choose vales of 1 and 2 for x and calculate y:
(1, 1) and (2, -3)
Now mark those two points and draw a straight line through them. It is an equation of a straight line, so we know this will be correct.
22. Same process:
(1,6) and (2,7)
23. (1,0) and (2,-3)
24. (1,-4) and (2,-6)
=====================
These are shown in the attachment. What's also shown is the second method of producing the lines: Use a graphing program such as DESMOS to plot the equations. The points aren't needed - they are there to demonstrate that the first approach also works.
14.) Which numbers are in order from least to greatest?
O 79%, 0.55, 1/4
O 1/4, 0.55, 79%
0.55, 1/4, 79%
O 79%, 1/4,0.55
Answer:
The second one or B
Step-by-step explanation:
1/4 = 0.25 then 0.55 then 79% = 0.79
You and your friend mix water and citric acid. You add 3 cups of citric acid for every 16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whose mixture is more acidic?
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Answer:
You:If it’s was 6 cups of citric I’d be to 32 water
Your friend: if it was 4 cups it’d be 12 water
Step-by-step explanation:
I believe your friends is more acidic because your Is being diluted more
Which statement is true about the equation f(x)=g(x) given f(x)=2x+3 and g(x)=x^2? please help
Answer:
x=3 and x=-1
Step-by-step explanation:
If f(x)=g(x), then 2x+3=x^2:
x^2-2x-3=0
(x-3)(x+1)=0
x=3 and x=-1
We can conclude that the statement:
There are values of x for which f(x) = g(x)" is true.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To determine which statement is true about the equation f(x) = g(x) given f(x) = 2x + 3 and g(x) = x²,
We can substitute the expressions for f(x) and g(x) into the equation and simplify:
f(x) = g(x)
2x + 3 = x^2
Now we have a quadratic equation.
We can rearrange it to standard form and solve for x using the quadratic formula:
x² - 2x - 3 = 0
a = 1, b = -2, c = -3
x = (-b ± √(b² - 4ac)) / 2a
x = (2 ± √(16)) / 2
x = (2 ± 4) / 2
x = -1 or x = 3
Therefore,
The equation f(x) = g(x) is true for some values of x, namely x = -1 and x = 3.
Thus,
Based on this, we can conclude that the statement "There are values of x for which f(x) = g(x)" is true.
Learn more about functions here:
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cellus
Suppose that y varies directly with x
and y = 3 when x = 9. What is y
when x = 18?
y = [ ?
]
I really suck at these problems.
Answer:
y = 6 when x = 18
Step-by-step explanation:
The appropriate formula for this direct proportion is y = kx, where k is the constant of proportionality.
We know y = 3 when x = 9: 3 = k(9)
This yields k = 3/9, or k = 1/3
Then the formula is y = (1/3)x
and when x = 18, y = (1/3)(18) = 6
y = 6 when x = 18
Which of the following is a true statement?
A. A number is divisible by two and three if the number ends in a 0, 2, 4, 6, or 8.
B. A number is divisible by three and nine if the sum of the digits is divisible by three.
C. A number is divisible by nine if the last two digits are divisibly by nine.
D. A number is divisible by six if the number is divisible by both two and three.
SOS, I really need help! I accidentally slept in.
Dynamite blue fire red grape purple
How do I write 4 times difference of a number and 8
Answer:
4(n-8)
Step-by-step explanation:
4(n-8)
I think it'd be written like this
Are the equations m+3=-5 and m-4=-12$ equivalent?
Answer:
Yes They Are Equivalent
Step-by-step explanation:
I checked by multiplying them.
Answer: yes, because they both equal x= -8
Step-by-step explanation:
m= -5 -3
calculate
= -8
m= -12+4
calculate
m= - 8
Please graph as this coordinate plane is. Thank you
Answer:
hope this helps :)
THE WHOLE THING ALL OF IT PLEASE I WILL MAKE U BRAINLIEST!!
Answer:
3x+8=17 2x+8=2(x+4) x+4=x-4
3x=17-8 2x+8=2x+8 No solution
3x/3=9/3 All Real numbers
x= 3
infinitely many solution
Q2) It means this equation has no answer to it and no solution
Q3) x+ 4=x-4 has no solution
Q4) It means that it has many answers to it and many steps to it to get the answer
Q5) By doing the answer for example 3x+9=17 it has many solutions and we can get the answer by
Translate the phrase into an expression with integers: negative 13. Do not simplify your expression.
Answer:
-13
Step-by-step explanation:
negative 13 = -13
help me pleaseeeeeeeeee
Answer:
thats the answer
Step-by-step explanation:
because the filipinos are magaling sa math
Solve.
x−8.2=−9.09
What is the solution to the equation?
Enter your answer in the box.
x =
[tex]x-8.2=-9.09\\\\\implies x = -9.09 +8.2 =-0.89[/tex]
x = -0.89
Step-by-step explanation:
when subtracting a positive number to a negative it will always be negative or atleast 0. It is like a number line, when subtracting on a number line, you always go left, which is also why its negative.
How I solved it: (just another way to solve this)
9.10-8.20=0.89
since the 9.10 was actually a negative(-9.10), it would make 0.89 negative, making it -0.89.
Elizabeth took out a 3year loan to buy a car at 4.4% simple interest rate. If she initially borrowed $1,400 how much interest will she have to pay
Answer:
is 61.6 on there? because if so I believe it's that
solve the following quadratic equation
2×2-x=21
[tex]2x^2-x=21\\\\\implies 2x^2 -x -21 =0\\\\\text{Apply quadratic formula},~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\\text{In this case,}~ a =2 , b =-1, c =-21}\\\\\implies x = \dfrac{-(-1) \pm \sqrt{(-1)^2 - 4\cdot 2 \cdot (-21)}}{2(2)}\\\\\implies x =\dfrac{1 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{ 1 \pm 13}4\\\\\\\text{Hence,}\\\\x =\dfrac{1+13}4 = \dfrac{14}4 = \dfrac 72\\\\\text{or}\\\\x =\dfrac{1-13}4 = -\dfrac{12}4 =-3[/tex]
Answer:
x1=7/4, x2=-3
Step-by-step explanation:
[tex]2x^{2} - x - 21 = 0\\x1,2 = (1±\sqrt{-168-1})/4\\x1,2 = (1±13)/4\\x1 = 14/4 -> x1 = 7/2\\x2 = -12/4 -> x2 = -3[/tex]
Hey y’all pls help me ASAP :)
Answer:
m + 8 ≥ -8
Step-by-step explanation:
Answer:
m+8≥-8
Step-by-step explanation:
Just ask.
Hope this helps!
In a right isosceles triangle, the length of both legs are equal. For the given isosceles triangle, what is the value of X
Answer:
x=6
Step-by-step explanation
So, the formula for this is the Pythagorean Theorum which is a^2 +b^2=c^2.
If the longest side is the square root of 72, then it is the hypotenuse, or c. Now the equation looks like this. a^2 + b^2 = square root of 72.
Since we know that a and b are the same, and that they equal the square root of 72, just divide 72 by two for the square root of 36. Just find the square root of 36 now, which is 6. :) Hope this helps!
Tisha scored an average of 18 points in each of her first five basktetball
games. Altogether, how many points did she score in her first five
games?
Answer:
90 pts.
Step-by-step explanation:
In general, you need to multiply the average points she got in each game by how many games she played.
So therefore you'd do:
18 x 5
= 90 pts.
Pls help fast i need this done
-Angle ACB is bigger than angle GDE
-Angle ACB is smaller than angle GDE
-Angle ACB is the same size as angle GDE
-There isn't enough information to decide
Help please!!
Question in picture!
Answer:
4x + 6y, 24
Hope you could get an idea from here.
Doubt clarification - use comment section.
Annette measured pepper plant sprouts and recorded the following lengths in
inches:
1/3 .0.75, 1/4 .0.5
If Annette ordered the lengths from least to greatest, which one would come
second?
Answer pls❤️❤️❤️
Answer:
Ask with your teacher.not to me
Answer:
1/4 , 1/3 , 0.5 , 0.75
Step-by-step explanation:
1 - Convert all numbers into fractions.
1/3 , 3/4 , 1/4 , 1/2
2 - Find the greatest common factor and apply it to all.
4/12, 9/12, 3/12, 6/12
3 - Order all into least to greatest.
3/12 , 4/12 , 6/12 , 9/12
4 - Convert back to normal forms.
1/4 , 1/3 , 0.5 , 0.75
Brainliest would be appreaciated! :-)
8% of 60 is half of what number
Answer:
9.6
Step-by-step explanation:
8% of 60 is 4.8
4.8 is half of 9.6
hope this helps! :D
have a miraculous day!! <3
Answer:
9.6
Step-by-step explanation:
8% of 60 is equal to 4.8
To find what 4.8 is half of, multiply 4.8 by 2
4.8 times 2 equals 9.6
please help me!
ty :)
Answer:
y-2 = 5(x-3)
Step-by-step explanation:
-
Hope that helps