Using the relationship between velocity, distance and time, it is found that Red Riding Hood drives at 54 mph.
What is the relation between velocity, distance and time?Velocity is distance divided by time, that is:
[tex]v = \frac{d}{t}[/tex]
Red Riding Hood drives the 432 miles to Grandmother’s house in 1 hour less than it takes the Wolf to drive the same route, at a speed of 6 mph faster, hence the equations are:
[tex]v = \frac{432}{t}[/tex]
[tex]v + 6 = \frac{432}{t - 1}[/tex]
From the first equation:
[tex]t = \frac{432}{v}[/tex]
Replacing on the second equation:
[tex]v + 6 = \frac{432}{t - 1}[/tex]
[tex]v + 6 = \frac{432}{\frac{432}{v} - 1}[/tex]
[tex]v + 6 = \frac{432v}{432 - v}[/tex]
[tex]432v - v^2 + 2592 - 6v = 432v[/tex]
[tex]v^2 + 6v - 2592 = 0[/tex]
(v + 54)(v - 48) = 0.
The velocity is positive, hence:
v - 48 = 0 -> v = 48 mph.
Red Riding Hood drives 6 mph faster than Wolf, hence:
v + 6 = 48 + 6 = 54 mph.
More can be learned about the relationship between velocity, distance and time at https://brainly.com/question/24316569
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Answer: 54 mph.
Step-by-step explanation:
took the test and got it correct. edge.
Jeffrey purchased a car for $180 that gives him 20 visits to a new gym and includes a one time fee for unlimited use of the sauna. After five visits, Jeff has $123.75 left on the card, and after 11 visits, he has $74.25 left on the card. Write an equation in point slope form, then determine the cost of each visit in the fee for the sauna use.
Please explain.
No bit links.
Answer:
Top right
Step-by-step explanation:
The equation is saying that x is greater than or equal to the number two. That mean our line will be bold and not dotted and the the shaded area will be everywhere past the 2 line
If A=(1 2 3), find 2 A?
Answer:
Remove parentheses
Step-by-step explanation:
A= 123
When a child is more than two standard deviations underweight for his or her age, the child is suffering from a condition called _____.
does anyone know this i need it fast
Yuri computes the mean and standard deviation for the sample data set 12, 14, 9, and 21. He finds the mean is 14. His steps for finding the standard deviation are below. S = StartRoot StartFraction (12 minus 14) squared (14 minus 14) squared (9 minus 14) squared (21 minus 14) squared Over 4 EndFraction EndRoot. = StartRoot StartFraction negative 2 squared 0 squared negative 5 squared 7 squared Over 4 EndFraction EndRoot. = StartRoot StartFraction 4 0 25 49 Over 4 EndFraction EndRoot. = StartRoot StartFraction 78 Over 4 EndFraction EndRoot. = StartRoot 19. 5 EndRoot. What is the first error he made in computing the standard deviation? Yuri failed to find the difference between each data point and the mean. Yuri divided by n instead of n -1. Yuri did not subtract 9 - 14 correctly. Yuri failed to square -2 correctly.
Answer:
He divided by n instead of n-1.
It is sample data so we need to divide by n-1 not n.
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation:
What is meant by permutations ?
Answer:
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters. Common mathematical problems involve choosing only several items from a set of items with a certain order.
Answer:
Permutations mean each of several possible ways in which a set or number of things can be ordered or arranged.
Step-by-step explanation:
help and maybe explain how to solve
Answer:
1) x = 55°
2) x = 30°
3) x = 68°
Step-by-step explanation:
In the given set of questions where it requires to find the unknown value of x to prove that v ||w:
Definition of Consecutive Interior Angles Theorem:The Consecutive Interior Angles Theorem states that for any given two parallel lines cut by a transversal, the measures of a pair of consecutive interior angles have a sum of 180°. Hence, the pair of consecutive interior angles are supplementary.
Question 11.) In the given diagram, the two consective interior angles are m ∠70° and m ∠ 2x°. As defined by the Consecutive Interior Angles Theorem:
m ∠70° + m ∠ 2x° = 180°
Solve for x algebraically:
70° + 2x° = 180°
Subtract 70° from both sides:
70° - 70° + 2x° = 180° - 70°
2x° = 110°
Divide both sides by 2 to solve for x:
[tex]\LARGE\mathsf{\frac {2x^{\circ}}{2}\:=\:\frac{110^{\circ}}{2}}[/tex]
x = 55°
Verify whether the value for x is valid:
70° + 2x° = 180°
70° + 2(55)° = 180°
70° + 110° = 180°
180° = 180° (True statement).
Question 2:2) In the given diagram, the two consective interior angles are m ∠2x° and m ∠ 4x°. As defined by the Consecutive Interior Angles Theorem:
m ∠2x° + m ∠ 4x° = 180°
Solve for x algebraically:
2x° + 4x° = 180°
Add like terms:
6x° = 180°
Divide both sides by 6 to solve for x:
[tex]\LARGE\mathsf{\frac {6x^{\circ}}{6}\:=\:\frac{180^{\circ}}{6}}[/tex]
x = 30°
Question 3:The Consecutive Interior Angles Theorem still applies in this question. The two consective interior angles are m ∠90° and m ∠ (x + 22)°. As defined by the Consecutive Interior Angles Theorem:
m ∠90° + m ∠ (x + 22)° = 180°
Solve for x algebraically:
90° + x° + 22 = 180°
Combine like terms:
112° + x° = 180°
Subtract 112° from both sides to isolate x:
112° - 112° + x° = 180° - 112°
x = 68°
Verify whether the value for x is valid:
90° + x° + 22 = 180°
90° + 68° + 22 = 180°
180° = 180° (True statement).
A rope is stretched tight between the tops
of two flag poles. One pole is 16 m tall, the
other is 8 m tall and they stand on level
ground 6 m apart. Find the rope's length.
m
Answer:
10 m.
Step-by-step explanation:
We have a triangle with hypotenuse h m (the rope's length) and one leg 16 - 8 = 8 m and the other 6 m.
So h^2 = 8*2 + 6^2 = 100
h = 10 m.
What is the solution to the inequality -6_5>-29
Answer:
If it's true or false than it's true.
For what value of x is line m parallel to line n?
x=?
The denominator of a fraction is 8 more than its numerator. If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2. Find the fraction
pleases help as soon as possible..thank you so much
Answer:
The fraction is 13/21.
Step-by-step explanation:
The denominator of a fraction is 8 more than its numerator.
Let x be the numerator: x
So the denominator is: x + 8
[tex]\frac{x}{x + 8}[/tex]
If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2.
It will become:
[tex]\frac{x - 1}{x + 8 + 3} = \frac{1}{2}[/tex]
[tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex]
Now, by using cross multiplication, multiply (x - 1) by 2 and (x+11) by 1.
It will become:
2x - 2 = x + 11
Now transpose and combine the same values. Make sure to change the integer sign. If the integer is positive, change it to negative when you transpose it.
2x - x = 11 + 2
x = 13
So the value of x is 13. Now to check if it is correct. Go back to the equation([tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex])
Put the value of x in it.
[tex]\frac{13-1}{13+11} = \frac{1}{2}[/tex]
[tex]\frac{12}{24} = \frac{1}{2}[/tex]
12/24 is equivalent to 1/2 so that is correct.
Now, to find the main fraction. Go back to the original equation which is;
([tex]\frac{x}{x + 8}[/tex])
Put the value of x.
[tex]\frac{13}{8 + 13}[/tex]
= 13/21
Not a verified expert but I put much effort to answer your question. Hope it helps:)
(y=x-4
(y=-2x+5 ................................................................
Answer:
y= -1, x=3
Step-by-step explanation:
2x+y=5
x-y =4
x= 4+y
Sub 1 into 3
2( 4+y ) 4y =5
8+2y +y =5
8+3y =5
3y =5-8
3y =-3
y=-3÷3
y = -1 #
Sub y = -1 into 3 equation
x=4+(-1)
x=3 #
solve pls brainliest
Answer:
0.28 repeating- yes, this is a repeating decimal
0.74...- yes, this is a repeating decimal
0.3162..- no, this is a decimal that neither terminates nor repeats
0.816..- yes, this is a terminating decimal
Step-by-step explanation:
Terminating decimals:
a decimal that comes to an end, has a finite number of decimal placescan be expressed/written as a fraction Example: 0.25Repeating decimals:
a decimal that has has digit/digits that repeat over and over (go to infinity)can be expressed/written as a fractionexample: 0.333333333...Non-terminating, Non-repeating decimals:
a decimal number that continues on forever with no group of digits being repeated (the digits are basically randomized)cannot be expressed/written as a fractionexample: πA right rectangular prism whose surface area and volume are numerically equal has edge lengths $\log_2 x$, $\log_3 x$, and $\log_4 x$. What is $x
The value of [tex]x[/tex] is 29.
The formulae for the surface area ([tex]A_{s}[/tex]) and volume ([tex]V[/tex]) are, respectively:
[tex]A_{s} = 2\cdot (h\cdot l + w\cdot l + h\cdot w)[/tex] (1)
[tex]V = w\cdot h \cdot l[/tex] (2)
Where:
[tex]w[/tex] - Width.[tex]h[/tex] - Height.[tex]l[/tex] - Length.According to the statement, we must equalize (1) and (2) and substitute the remaining variables:
[tex]2\cdot (h\cdot l + w\cdot l + h\cdot w) = w\cdot h\cdot l[/tex]
[tex]2\cdot h\cdot l + 2\cdot w \cdot l + 2\cdot h\cdot w = w \cdot h \cdot l[/tex]
[tex]2\cdot \log_{2}x\cdot \log_{4}x+2\cdot \log_{3}x\cdot \log_{4}x+2\cdot \log_{2}x\cdot \log_{3}x = \log_{2}x\cdot \log_{3}x\cdot \log_{4}x[/tex]
By applying logarithm properties, we simplify the expression:
[tex]2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right) + 2\cdot \log_{2}x\cdot \left(\frac{\log_{2}x}{\log_{2}3} \right) = \log_{2}x \cdot \left(\frac{\log_{2}x}{\log_{2}3} \right)\cdot \left(\frac{\log_{2}x}{\log_{2}4} \right)[/tex]
[tex]2\cdot \left[\frac{1}{\log_{2}4}+\frac{1}{\log_{2}3\cdot \log_{2}4}+\frac{1}{\log_{2}3}\right] = \left(\frac{1}{\log_{2}3\cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]
[tex]2\cdot \left(\frac{\log_{2}3+\log_{2}4+1}{\log_{2}3\cdot \log_{2}4} \right) = \left(\frac{1}{\log_{2}3 \cdot \log_{2}4} \right)\cdot \log_{2}x[/tex]
[tex]\log_{2}x = 2\cdot (\log_{2}3 + \log_{2}4+1)[/tex]
[tex]\log_{2}x = \log_{2}9 + \log_{2}16 +2[/tex]
[tex]x = 9 + 16 + 4[/tex]
[tex]x = 29[/tex]
The value of [tex]x[/tex] is 29.
We kindly invite to check this question on logarithms: https://brainly.com/question/20838017
Nota - The statement of this question presents typing mistakes and is also incomplete, the corrected form is presented below:
A right rectangular prism whose surface area and volume are numerically equal has edge lengths [tex]\log_{2} x[/tex] (height), [tex]\log_{3}x[/tex] (width) and [tex]\log_{4}x[/tex] (length). What is [tex]x[/tex]?
85% of 540 = 30% of C
Answer:
C = 1530
Step-by-step explanation:
85% of 540 = 30% of C
0.85 * 540 = 0.3 * C
459/0.3 = 0.3C/0.3
C = 1530
Answer:
c = 1530
Step-by-step explanation:
First, convert the percentages to a decimal.
[tex]85\div100=0.85\\30\div100=0.30[/tex]
In decimal form, percentages are a fraction of 1. 0 is 0%, 0.5 is 50%, and 1 is 100%.
With that, you can write this equation:
[tex]0.85\times540=0.3\times c[/tex]
Now, just solve for c:
[tex]0.3c=0.85\times540\\0.3c=459\\c=1530[/tex]
To confirm that:
[tex]0.85\times540=0.30*1530\\459=459[/tex]
Help would be appreciated right now
Answer:
AC = 20.5, CB = 14.5
Step-by-step explanation:
Let X be the distance of AC, and Y be the distance of CB. We can write 2 equations with the given information:
[tex]x=y+6\\x+y=35[/tex]
Now we have a system of equations that we can solve for both variables.
Solve by substitution:
[tex](y+6)+y=35\\2y+6=35\\2y=29\\y=14.5[/tex]
Then the next equation:
[tex]x=14.5+6\\x=20.5[/tex]
x = 20.5, y = 14.5
or
AC = 20.5, CB = 14.5
20.5 is 6 longer than 14.5, and they add up to 35cm, so this is our solution.
Reese’s sister earns $15 per hour. The store offers her a raise - a 6% increase per hour after a raise how much will Reese sister make per hour
Answer: $15.90/hr
Step-by-step explanation:
We need to add 6% to her $15/hr current pay. This can be calculated with:
$15/hr *(1+0.06) = $15.90/hr
The "(1+0.06)" represents a) 1 the current salary, and b) the 6% raise.
please help me the last question is wrong
Answer:
Step-by-step explanation:
simplify (5 cubed)to the power of 6 leaving your answer in index form
Answer:
I got up to 25 to the power of 6
Step-by-step explanation:
5 cubed is 25, Hope this leads you in the right direction
help i really need it :(
Answer:
The correct equation is [tex]2\frac{2}{3}+r = 3[/tex].
Why?
To find the correct answer we have to isolate r from the other numbers. To isolate r from this equation, we have to subtract [tex]2\frac{2}{3}[/tex] from both sides of the equation. Remember that you can do whatever you need to one side of the equation, but you must do the exact same thing to the other side, so the equation remains the same value. By subtracting [tex]2\frac{2}{3}[/tex] from the equation, we get [tex]2\frac{2}{3}-2\frac{2}{3}+r=3-2\frac{2}{3}[/tex]. Simplify: [tex]r=\frac{1}{3}[/tex]. Therefore, answer D is the solution.
Good luck!
Find the measure of angles A and B in the diagrams below.
Answer:
A = 147°
B = 33°
simplify 2 by 3 multiply by 2 plus 3 1 by 3
Step-by-step explanation:
[tex] \\ \frac{2}{3} \times 2 +3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + 3 \frac{1}{3} [/tex]
[tex] \\ = \frac{4}{3} + \frac{10}{3} [/tex]
[tex] \\ = \frac{4 + 10}{3} [/tex]
[tex] \\ = \frac{14}{3} [/tex]
[tex] \\ = 4\frac{2}{3} \: \: or \: \: 4.67[/tex]
I just want to double check if I did this right
can someone please tell me what is 12 x 8 +5?
Use BODMAS
first solving 12×8
which is = 12×8=96
than add +5
so, 96+5= 101
Hope This HelpsAnswer: 12x8=26+5= 31
Step-by-step explanation:
Write an expression.
1 a. 49 divided by the difference of x and 2
Answer:
x + 2
--------
49
Step-by-step explanation:
that's the answer
What is the slope of the line that passes through the ordered pairs(1,14)and(−5,−34)?
Answer:
The answer is 8!
Step-by-step explanation:
I took the quiz. Have a great day, hope this helps!
answer this pls!!...
help me out
-sry for my bad handwriting
Answer:
i cant read it
can u type so i can help?
Step-by-step explanation:
HELP ASAP!!!
What are the zeroes of f(x) = x2 − 6x + 8?
x = −4, 2
x = −4, −2
x = 4, 2
x = 4, −2
Answer:
×=2 is the right answer
and ×= -4 also
8x-3y=9
3x+2y=8
(Guys need help on this simultaneous equation)
Step-by-step explanation:
sorry that's all i know hehe