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.
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Answer: 54 mph.
Step-by-step explanation:
took the test and got it correct. edge.
Nina gets paid $200 a week plus an extra $5 per handbag
she sells. Write an equation for this problem, and identify
the slope and y-intercept
Answer:
y=5x+200
Step-by-step explanation:
x=number of handbags
y-intercept=200
slope=5
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Profit of ₹50 Height of 60 cm above the sea 50 km towards south Deposit of ₹1,000 30 m below the sea level A rise in temperature by 15° C
Answer:
1. Loss ₹50
2. - 60
3. 50 km towards North
4. 1000
5. - 30
6. - 15° C
Assessment started: undefined.
Item 1
Which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21?
Select each correct answer.
(−1, −6)
(−3, 3)
(11, 3)
(7, 0)
Help me urgently i have to submit a t today
Answer:
6/5
Step-by-step explanation:
He reads 1.2 page every 1 minute, 1.2X15(mins)=18 page.
rewrite 4x+2y=20 so that y is a function of x
Answer:
y=-2x+10
Step-by-step explanation:
how to simplify 3x - 20
Answer:
thats as simple as it gets unless you meant to write 3x=-20, then it would be x = 20/3
Answer:
This cannot be simplified
Step-by-step explanation:
3x-20 is the answer
1,2
2,6
3,12
4, 20
Is the function Linear or Nonlinear, and explain why
Explanation:
The variable x increases by 1 each time we move down the rows. This increase is constant or the same jump each time.
However, the variable y increases by different amounts. From y = 2 to y = 6, we have +4. Then from y = 6 to y = 12 is +6. This mismatch of increases is sufficient to prove we don't have a linear function. The function is nonlinear.
Visually, we can plot all of the points on the same xy grid. Notice that a straight line does not go through all four points. Rather, a parabola does, and the equation of the parabola is y = x^2+x which is the same as y = x(x+1).
how to slove and answer 11r+60=16
Answer:
r= -11
Step-by-step explanation:
11r + 60=16
we can see that 11x r + 60 = 16
but thats the problem ! we don't know what r is so
lets get r on its own
11r + 60 =16
subtract 60 from each side
60 -60 =0
left side = 11r
16-60 = -44
right side = -44
11 r = -11
divide both sides by 11
11r divided by 11 = r
-44 divided by 11 = -11
r=-11
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Solve pls with explanation!
((mn^8)/n^9 )^3
WILL MARK BRAINLIEST!
Answer:
Step-by-step explanation:
m is only raised to the 3rd power. The 8 effects only the n
Numerator
m^3
(n^8 )^3 = n ^24
denominator
(n^9)^3 = n^27
Answer: m^3 * n^24 / n^27 = m^3 / n^(27 - 24) = (m/n )3
Hi!
Given:
[tex](\cfrac{mn^8}{n^9} )^3[/tex]
First, let's do what is inside the parenthesis. Since we're dividing, we subtract unlike exponents, and if there are any negatives, we switch them to make them positive:
[tex]8-9=-1[/tex]
Switch since it's negative:
[tex]\frac{m}{n} ^3[/tex]
please help I don't understand what it wants :(
NO LINKS!!!!!!!!
Below are two parallel lines with a third line intersecting them.
× = ____ °
Answer:
x=116°
Step-by-step explanation:
we have two parallel line and x=116
Kathy is laying stepping stones in her garden the stones are 8 inches long and she wants to create a path that is 10 feet long how many stones will she need
Answer:
15 stones
Step-by-step explanation:
1) It is easier to convert to one unit. So i chose to convert everything to inches.
1 foot = 12 inches
10 feet = 120 inches
2) we then simply divide the size of the stones to see how much we need to cover the path
120/8 = 15 stones
what would this one be?
Answer:
I believe it's 6/10
Step-by-step explanation:
3/5 times 2 = 6/10
Which statement about perfect cubes is true?
a:25 is a perfect cube because 25 = 5 + 5 + 5 + 5 + 5
30 is a perfect cube because 30 = 3 times 10
512 is a perfect cube because 512 = 8 times 8 times 8
1,875 is a perfect cube because 1,875=25 times 25 times 3
V = s^3 = 8^3 = 512cm^3 True.
Answer:
every answer:
A
B
B
B
B D E
A
C
C
C
D
Step-by-step explanation:
i got 100% on Edg
Jessica has 21 students in her enrichment class. Seven students are completing a science project, five students are working on math , and two students are reading a novel. How many students are working on something else
Answer:
7 by 21 is the answer so 1 by 3 and that will be 3
a function, f(x)=4x+5, has a domain 0<=x<=50. What is the range? How do you do this??
Step-by-step explanation:
remember the domain is the interval or set of valid input (x) values. the range is the interval or set of the valid result (y) values.
so, the given domain tells us the interval to look at.
what are the functional values of the function between 0 and 50 ?
since the function is continuous (there are no gaps) in this interval, we can safely assume that all values between f(0) and f(50) are valid y values.
f(0) = 4×0 + 5 = 5
f(50) = 4×50 + 5 = 205
so, the range is 5 <= y <= 205
The Perimeter of a triangle is 24cm and the length of the three sides are in the ratio 3:4:5 Find the length of the three sides
Answer:
6 cm
8 cm
10 cm
Step-by-step explanation:
3:4:5
3 + 4 + 5 = 12
total 12 parts
24cm / 12 = 2cm per part
3 * 2 = 6 cm
4 * 2 = 8 cm
5 * 2 = 10 cm
Use point-slope form to write the equation of a line that passes through the point (-1, -7) with slope 3 4 - -
Answer:
y = 3/4x - 6 1/4
Step-by-step explanation:
I hope that the slope 3 4 - - means 3/4
Slope = 3/4
Using slope = 3/4 and the point (-1, -7) substitute into y = mx + b and solve for "b"
y = mx + b
-7 = 3/4(-1) + b
-7 = -3/4 + b
-7 + 3/4 = b 3/4 as a decimal = .75
-7 + .75 = b
-6.25 = b
The equation of the line is y = 3/4x - 6.25 or y = 3/4x - 6 1/4
Solve. −4x−21=91 Enter your answer in the box. x =
Answer:
X = -27
Explain your answer:
Answer:
x = -28
Explanation
K12
Admit it, you're waiting for something that has no chance of happening.
Alone, I feel sad. ...
Behind every “it's okay” is a little pain.
Clowns need laughter too.
Do you ever think about your well-being and realize how not okay you are?
Drowning in a whirlpool of emotions.
Answer:
no.
Step-by-step explanation:
no. thanks.
..........
..
11(5-8=-11 5-8=-1. S=
What is 45.5% in simplest form?
Answer: 45.5/100 = 455/1000
Step-by-step explanation:
Step-by-step explanation:
45.5% in its simplest form is
[tex] \frac{91}{2} [/tex]
but 45.5% =
[tex] \frac{91}{2} \ \times 100 = \frac{91}{200} [/tex]
help with these sum please it is math
Answer:
Step-by-step explanation:
24 ) Before, so -5 sec
25) after. So, + 5 sec
26) + 50 c
27) -50 c
28) - 1 min
29) + $ 50
30) - $ 5
31) +5
32) - 5
Explaining it thoroughly and you will be mark as Brainiest…
Answer: It says it right there
Step-by-step explanation:
create a video explaning
What is the greatest common factor of 48, 72 and 52? A.2 B.4 C.8 D.16
the answer is 4 since 4 is common in all the three digits
B).4
points (4, 3) and (0, 6) Mid point
Answer:
(3.5,3)
Step-by-step explanation:
Midpoint= (x¹+x²/2, y¹+y²/2)
x¹=4
x²=3
y¹=0
y²=6
Put your values into the formula
(4+3/2,0+6/2)
(7/2, 6/2)
(3.5,3)
Which graph represents x ≥ 2?
Answer:
...
Step-by-step explanation:
Question.[Mathematics]
6³ + 6³ =
[tex] \: \: \: \: \: \: [/tex]
[tex] = 432[/tex]
Step-by-step explanation:
[tex] {6}^{3} + {6}^{3} [/tex]
collect like terms[tex]2 \times {6}^{3} [/tex]
evaluate the power[tex]2 \times 216[/tex]
multiply the number[tex] = 432[/tex]
hope it helps[tex] \: \: \: \: \: \: [/tex]
Please help
4(x+8)+2=1/2(8x+60)
Answer:
This is a contradiction
how to solve:
10 x -7 = 4x + 5
~one variable linear equation
==================
10x - 7 = 4x + 5
= 10x - 7 - 4x = 5
= 10x - 4x = 5 + 7
= 6x = 5 + 7
= 6x = 12
= x = 12 ÷ 6
= x = 2 ✔️
~ nice to help you ^^
1.
Use the quadratic function to predict y if x equals 6.
y = 2x^2 − 2x − 2
A. y = −58
B. y = −60
C. y = 60
D. y = 58
Answer:
D. y = 58
Step-by-step explanation:
Answer:
The value of the polynomial is 58 for x = 6.
Step-by-step explanation:
Here, the given quadratic function polynomial is given as:
or,
Now, to find the value of y, when x = 6
⇒
= 2(36 - 6 -1) = 2(29)
= 58
⇒y(6) = 58
Hence, the value of the given polynomial is 58 for x = 6.