Step-by-step explanation:
Distance = (Rate)(Time) So, Time = (Distance)/(Rate)
Time at slower speed = Time at faster speed + 3
36/x = 36/(x+6) + 3
Multiply the equation by the LCD, x(x+6) to obtain:
36(x+6) = 36x + 3x(x+6)
36x + 216 = 36x + 3x2 + 18x
3x2 + 18x - 216 = 0
x2 + 6x - 72 = 0
(x + 12)(x - 6) = 0
x = -12 or x = 6
Since x can't be negative, x = 6 mph
Find the equation of the line passing through the points 7,2 and 9,1
9514 1404 393
Answer:
y = -1/2x +11/2
Step-by-step explanation:
The slope of the line is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -2)/(9 -7) = -1/2
The y-intercept is ...
b = y -mx
b = 2 -(-1/2)(7) = 11/2
Then the slope-intercept equation is ...
y = -1/2x +11/2
_____
Alternative solution
A general form equation for the line can be ...
(y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0
(2 -1)(x -7) -(7 -9)(y -2) = 0
x-7 +2y -4 = 0
x +2y -11 = 0 . . . . . general form equation
x +2y = 11 . . . . . . . standard form equation
Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.
Solve for x.
5 = 2x - 3
Answer:
X=4
Step-by-step explanation:
Answer:
2x - 3 = 5
+3 +3
2x = 5 + 3
2x = 8
÷2 ÷2
× = 4
What is a common denominator for 1 3/4 and 1 4/5
Answer:
20
Step-by-step explanation:
A common denominator is a number that is a multiple of both denominators.
To find it just write the multiplication table of the numbers and find a number that appears in both of them.
In this case, we have 4 and 5:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40
5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Since it only asks for a common denominator, it can be 20, 40, 60, 80... Although it's usually smarter to pick the lower number.
[tex]1\dfrac 34 =1+ \dfrac 34 =\dfrac 74 = \dfrac{35}{20}\\\\\\1\dfrac 45 = 1+ \dfrac 45 = \dfrac 95 =\dfrac{36}{20}\\\\\text{The answer is 20}[/tex]
The perimeter of a rectangle is 21+ 2where is the
length of the rectangle and wis the width find the
Perimeter of the rectangle if the length is 12 inches and the width is 9 inches
Answer:19 - 20
Step-by-step explanation:
Yo
Suzanne correctly answered 32 of the 40 questions on her math test
What decimal is equivalent to the fraction of questions Suzanne answered correctly?
Enter your answer in the box.
Answer:
Step-by-step explanation: 50 million
(PHOTO) Please help need this done by tomorrow thank you.
Answer:
x = 8
Step-by-step explanation:
These are corresponding angles, and they are equal to one another.
[tex]7x+3=3x+35\\4x+3=35\\4x=32\\x=8[/tex]
SUBTRACT the given polynomials : (x + 2) - (8x + 4)
A}7x + 2
B}7x - 2
C}-7x - 2
D}-7x + 2
WELP ;-;
The equivalent expression for the subtraction (x + 2) - (8x + 4) is -7x - 2
Option C is correct
The given polynomial expression is:
(x + 2) - (8x + 4)
Expand the expression by removing the parenthesis
x + 2 - 8x - 4
Collect like terms
x - 8x + 2 - 4
-7x - 2
Therefore, the equivalent expression for the subtraction (x + 2) - (8x + 4) is -7x - 2
Learn more on polynomials here:
https://brainly.com/question/16058963
Please help with give branniest!!
(11/44)^ 3 = 11^3/14^3 = 1331/2744 = 0.48505
Round the answer as needed.
what is the inverse of f(x) = x2 − 36
43 is 18% of what number?
Answer:
238.888888889
Step-by-step explanation:
Divide 43 by 18, then multiply by 100
the sum of any 2 intergers is either postive or negative. true or false
Answer:
True.
Hope this helps.
Please help asap thank you!!
Answer:
No
yes
No
Step-by-step explanation:
yes it is a scalene triangle
the area of the triangle is 28.5
Kylie has lemon and watermelon in a ratio of 10:71. How many watermelon does she have if she has 20 lemons
Answer:
She will have 142 watermelons
Step-by-step explanation:
First let's put our ratio
10 : 71
Since our lemons are now 20 instead of 10 we will divide 20 by 10 to see how many time we multiplied it by.
[tex]20 \div 10[/tex]
which equals 2
To find our water melon we will multiply it by 2
[tex]71 \times 2[/tex]
which equals 142
She will have 142 watermelons
Maria wrote her 606 word
essay in 20 1/5 minutes. At
what rate is she typing?
Answer:
29.5
Step-by-step explanation:
Multiply 606 and 20.5 and get 29.5.
help plz LCM/GCF plz help with 2, 4, and 5 show your work for brainliest
THIS IS WORTH 100 POINTS!!!
Answer:
2. 60
4. 6
5. 3
Step-by-step explanation:
These questions are all asking for the GCF, which is the greatest common factor, or the largest number that can be divided into all of the numbers.
ex. for 2, the question is basically asking for the GCF between 12 and 15
we see that 12 = 3x4, 15 = 3x5, so from here we see that 3 is the GCF.
A girl has 7 skirts, 9 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits can she wear
Answer: 252 i think i tried and i think its right
if 1/3 of a gallon of paint covers 1/8 how much paint is needed to cover the entire wall
Answer:
4 gallons
Step-by-step explanation:
Help I’m timed!
The graph of an equation with a negative discriminant always has which characteristic?
A: no x-intercept
B:no y-intercept
C: no maximum
D: no minimum
Answer:
a
Step-by-step explanation:
Negative discriminant means that the fucntion has no real roots
so in the quadratic function b^2-4ac if this section is negative there are no real roots, so yes a would be the answer
Bonus: if u want to know.
However, in linear algebra which ofc i know ur not taking there would be something called imangiary roots, or complex roots.
Maria spends 9/10 hour on her art project. Juan spends 2/6 hour on his art project. Which answer is the most accurate estimate for how much more time Maria spends on her art project than Juan spends on his?
A. 0 hrs
B. 1/2 hrs
C. 3/4 hrs
D. 1 hr
Answer:
B. 1/2 hrs
Step-by-step explanation:
make the denominator the same
27/30 10/30
27-10= 13
13/30
a half is 15/30 and it's the closest answer since the question said estimate.
PLEASE HELP I will mark you BRAINLIST
Answer:
Angle B: 180-135=45° - supplementary angle rule
Angle C: 180-45-70=65° - sum of interior angles of triangle is 180
Angle D= Angle B : 45° - Alternate interior angles
Angel E=Angle A: 70° - Alternate interior angle.
Angle F: 180-Angle E(70) = 110° - supplementary angle rule
Step-by-step explanation:
plsss answer questions guys
just answer number 5. plsss
Answer:
B.{c}
Step-by-step explanation:
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
B. cHope it helps!
Brainliest pls!
Follow me! :)
Which is the best estimate of the distance between the point (–25, 10) and the origin? 8 units 15 units 23 units 27 units
Answer:
27 units
Step-by-step explanation:
I don't think that diagonals count so I think it is 27 units.
Tell me if I'm wrong :)
Unit #2 - Lesson #13 Exit Ticket: A tour company for large groups charges a one time fee of $200 plus an
additional $25 per person who goes on the tour. They must make at least $1,650 to make the tour profitable. Let
n be the number of people going on the tour. Write and solve an inequality in terms of n that represents all numbers
of people who can go on the tour to make it profitable.
Answer:
200+25n>1650
Step-by-step explanation:
200 is the one time fee
25n for $25 per person
> because they must make more than 1650 to be profitable
PLEASE NO LINKS DONT WASTE YOUR TIME IM NOT GONNA CLICK. Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
Answer:
B.
Step-by-step explanation:
factored form actually contains the x intercepts right in it. Basically whatever sets the whole equation equal to zero.
On the graph you can see that it passes through both positive and negative 4. so (x+4)(x-4) is the answer because plugging in 4 for x will make it zero. Same for plugging in negative 4
Hope this helps!
Question 24 of 25
Which of these shows the result of using the first equation to substitute for y
in the second equation, then combining like terms?
y = 3x
3x + 2y = 18
ОА. Зу = 18
B. 3x = 18
O C. 9x = 18
O D, 6x = 18
SUBMIT
Answer:
C. 9x=18
Step-by-step explanation:
3x+2(3x)=18
3x+6x=18
9x=18
If the legs of each triangular base are 5 cm and 3 cm and the height of the prism is 4 cm, what
are the coordinates of the vertices of the prism?
The coordinates of the six vertices of the prism are listed below:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]The number of vertices of a prism with a polygonal base ([tex]n[/tex]) is described by the following expression:
[tex]n = 2\cdot s[/tex] (1)
Where [tex]s[/tex] is the number of sides of the base.
If we know that [tex]s = 3[/tex], then the number of vertices of the prism are:
[tex]n = 2\cdot 3[/tex]
[tex]n = 6[/tex]
A prism with triangular base has six vertices, let suppose that the triangle of the base is right-angled. and coincides with a right-hand rectangular coordinate system. Then, we can conclude that the coordinates of the six vertices are the following:
[tex](x_{1},y_{1}, z_{1}) = (0, 0, 0)\,[ft][/tex] [tex](x_{2}, y_{2}, z_{2}) = (0, 0, 5)\,[ft][/tex] [tex](x_{3}, y_{3}, z_{3}) = (3, 0, 0)\,[ft][/tex] [tex](x_{4}, y_{4}, z_{4}) = (0, 4, 5)\,[ft][/tex] [tex](x_{5}, y_{5}, z_{5}) = (0, 4, 0)\,[ft][/tex][tex](x_{6}, y_{6}, z_{6}) = (3, 4, 0)\,[ft][/tex]We kindly invite to check this question on prisms: https://brainly.com/question/8828506
9.
Write the equation of the parabola in vertex form.
A. y = (x – 2)^2 + 4
B. y = x^2 – 4
C. y = (x – 2)^2
D. y = (x – 4)^2 – 4
Answer: The Answer Is NOT Letter A
C. y = (x – 2)^2 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 2 , 0 ) =Already in vertex form. y = ( x − 2 ) ^2
Step-by-step explanation: I used math.way
A. y = (x – 2)^2 + 4 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 2 , 4 ) =Already in vertex form. y = ( x − 2 ) ^2 + 4
B. y = x^2 – 4 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 0 , − 4 ) =Find the vertex form. y = ( x + 0 ) ^2 − 4
C. y = (x – 2)^2 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 2 , 0 ) =Already in vertex form. y = ( x − 2 ) ^2
D. y = (x – 4)^2 – 4 = Rewrite in vertex form and use this form to find the vertex ( h , k ) . ( 4 , − 4 ) =Already in vertex form. y = ( x − 4 ) 2 − 4
If (x + 4) is a factor of f(x), which of the following must be true?
Group of answer choices
f(-4) = 0
Neither x = -4 nor x = 4 are roots of f(x).
Both x = -4 and x = 4 are roots of f(x).
f(4) = 0
Juan has x quarters and y dimes, having a minimum of 16 coins worth at
y
most $3 combined. No less than 4 of the coins are quarters. Solve this system
of inequalities graphically and determine one possible solution.
I NEED HELP PLSSSSSS
Answer:
130 is the answer I Think