Answer: 315 miles
Step-by-step explanation:
let onward speed = x mph, then distance = 7x
return speed = (x+18) mph, (same) distance = 5(x+18)
equating the two,
7x = 5(x+18)
2x = 90 ==> x = 45 mph
so distance = 7*45 = 315 miles
A 5.5 foot tall woman is standing 14 feet from a streetlamp casts a six foot shadow. How high is the lamp?
Answer:
The height of the lamp is 18.33 ft
Step-by-step explanation:
We can think in two triangle rectangles, one with cathetus of:
5.5ft and 6ft (the one formed by the woman ad her shadow)
And another triangle with cathetus equal to:
6ft + 14ft (the distance between the end of the shadow and the lamp)
And the other cathetus is the height of the lamp, H.
As bot triangles will share an angle (the one formed by the end of the shadow and the hypotenuse) then the triangles are equivalent, so the quotient between their cathetus will be equal, this is:
H/(6ft + 14ft) = 5.5ft/6ft
H/(20ft) = 5.5ft/6ft.
H = (5.5ft/6ft)*20ft = 18.33 ft
I roll a number cube twice. What is the probability of rolling a 3 twice?
Glad I can help!!!
1/36
If satisfied give brainiest please :D
If the area of a triangular kite is 40 square feet and its base is 4 feet, find the height of the kite. Give solution with units.
Answer:answer it your self dummy
Step-by-step explanation:
Gemma and her cousin went to a restaurant for dinner. Gemma's dinner cost $5 more than her cousin's. If their combined bill was under $25 which inequality best describes the cost of their dinners?
Answer:
Bill of Gemma is x
Bill of her cousin is x+5
Combined bill is: 2x + 5 <25
=> x < 10
Bill of Gemma was under $10
Step-by-step explanation:
solve for y
y + 8 = 2
Answer:
y = -6
Step-by-step explanation:
y + 8 = 2
=> y = 2 - 8
=> y = -6
I've been stuck on this for awhile
Answer:
B) $3.56
Step-by-step explanation:
The price of one egg: $1.69
The price of a slice of bacon: $1.49
The price of a glass of orange juice: $1.09
Sara buys 2 eggs, 1 slice of bacon, and 1 glass of orange juice.
(2 eggs x $1.69) + (1 bacon x $1.49) + (1 glass of oj x $1.09) =
($3.38) + ($1.49) + ($1.09) = $5.96
Next, add the total gotten with the sales tax.
Sales tax: $0.48
$5.96 + 0.48 = $6.44
Then, subtract the total from the $10 that she used to pay:
$10 - 6.44 = $3.56
B) $3.56 is your answer.
~
Answer:
3.56
Step-by-step explanation:
because first, you 1.69$ dollars 2 times since your ordering it 2 times which gets you 3.38 $ next you add 1.49$ dollars because that's what a slice of bacon cost, then add1.09 since that's what a cup of orange juice cost. Then add 0.48 cents because that's the sale tax, at the end when you add everything up you get 6.44$ then subtract that from 10.00, then you get your answer!
Without solving, determine whether the equation has one solution, no solution, or infinitely many solutions. Z+1=Z+6
Answer:
No solutions
Step-by-step explanation:
I say this because Z could be a lot of things but it would still not be the same
What is the area of the triangle?
(-6,3)
(-3,-5)
(-1,3)
Hey there! I'm happy to help!
To find the area of a triangle you multiply the base by the height.
We see that our base is 5 units long because it stretches from -6 to -1 on the coordinate plane. Our height is 8 because the y value goes from 3 to -5.
To find the area of a triangle, you just multiply the base by the height then divide by 2.
5(8)=40
40/2=20
The area is 20 square units.
Have a wonderful day! :D
How many ways can 6 people be chosen and arranged in straight line if there are 8 people to choose from? a. 48.b. 720.c. 20, 160.d. 40, 320.
Answer:
C. 20,160Step-by-step explanation:
This question bothers on permutation since we are to select a some people out of a group of people and then arrange in a straight line. If r object are to be arranged in a straight line when selecting them from n pool of objects. This can be done in nPr number of ways.
nPr = n!/(n-r)!
Selection of 6 people out of 8 people can therefore be done in 8C6 number of ways.
8P6 = 8!/(8-6)!
8P6 = 8!/2!
8P6 = 8*7*6*5*4*3*2!/2!
8P6 = 8*7*6*5*4*3
8P6 = 56*360
8P6 = 20,160
Hence this can be done in 20,160 number of ways
Suppose T(n) = n(n +1)/2. Find T(10).
a
45
b
45/2
c
55/2
d
55
Answer:
D. 55
Step-by-step explanation:
[tex]T(n) = \frac{n(n +1)}{2} \\ \\ T(10) = \frac{10(10 +1)}{2} \\ \\T(10) = \frac{10\times 11}{2} \\ \\T(10) = 5 \times 11 \\ \\ \huge \red{ \boxed{T(10) = 55}}[/tex]
can someone please help me with this geometry question?
Answer:
25
Step-by-step explanation:
-3(1 + p) = 8p - 36
SOLVe for p
Answer:
Step-by-step explanation:
-3(1+p)=8p-36
-3-3p=8p-36
+36 +3p | +3p +36
Simplifies to
33=11p
divide both side by 11
3=p thus p=3
Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 2 < x < 4.
C
2
51
3
39
4
29
5
21
6
15
1. Evaluate 7m + 3mn; when m=8 and n=14?
2. Simplify: 675 ÷ (6+9 ÷ 3)
3. (3x - 2)(4x +1)
Answer:
1. 392
2. 75
3. [tex]12x^{2} - 5x -2[/tex]
Step-by-step explanation:
1. 7×8 + 3×8×14 = 56 + 336 = 392
2. 675 ÷ (6 + 3) = 675 ÷ 9 = 75
3. [tex]12[/tex][tex]x^{2}[/tex] + [tex]3x -[/tex] [tex]8x - 2[/tex] = [tex]12x^{2} -5x-2[/tex]
please solve: m²j³j⁵/m⁸j⁻²m³
Step-by-step explanation:
first, simplify each part.
m²j^8
m¹¹j^-2
now put them together:
(m²j^8)÷(m¹¹j^-2)=m^-9 j^10
if anything is unclear, ask freely.
Help me this is due last week help me,
Answer:
1 and 3 are irrational!!! The others are all rational
Step-by-step explanation:
1 and 3 are never terminating and they are not repeating, therefore, they are irrational! All the others are either terminal (they have a decimal that stops) or they are repeting and those repeting numbers can be written as a fraction, for example 0.2222... can be written as 2/9
Which statement is the most precise and correct definition of parallel lines?
Two lines are parallel if they do not intersect.
Two lines are parallel if they are on the same plane.
Two lines are parallel if they intersect at a right angle.
Two lines are parallel if they are at a constant distance apart.
Also does anyone have the Final exam answers for primavera geometry 1a?
Answer: Two lines are parallel if they are at a constant distance apart
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
3xy(5x2 + 2xy + 3y2)
Multiply this
Mary is having a party at the park. She is going to spend $438.
The cost to rent the shelter is $15 plus food is going to cost $6
per person. How many people is she having?
Answer:
70 people
Step-by-step explanation:
428-15=423
423/6=70.5
she can invite 70 people
determine if the following is parallel perpendicular or neither. y=2/3x-5 and 2x-3y=12
Answer and I will give you brainiliest
Answer: You can buy 5 shirts if you buy 2 pair of pants.
Step-by-step explanation: Just out of curiosity, where do you live? I’m just wondering because I’ve never heard of the AED as a money unit... lol
Answer:
Step-by-step explanation:
Why are you so mean to me
Erin counted 8 commercials in 15 minutes. Find how many commercials are
shown in 1 minute.
Your answer
Answer:
the answer is 23
Step-by-step explanation:
12y = 24х
6x = 3y +5
Answer:
24x-12y=0
6x-3y-5=0
a1/b1 = 4
a2/b2 =4
a1/b1 = b1/b2 ≠ c1/c2
∴ The pair of linear equations in two variables is said to be inconsistent and do not have any solution.
If h(x)=-3x^2-6x, find x when h(x)=-72.
Answer:
x = 6, -4
Step-by-step explanation:
3x²-6x = -723x² - 6x +72 =03(x²-2x+24) =0x²-2x+24=0(x-6)(x+4)=0x= 6, -4Translate and solve: −5 times b is no less than −35.
Answer:
(- ∞, 7] GIVE BRAINLIEST PLZ
Step-by-step explanation:
The equation from that word -5b > -35
Solve that and you get (- ∞, 7]
PLEASE HELP ASAP (timed assignment)
Aidan is on vacation and needs to arrange transportation. A rental car costs 45 dollars per day plus a one-time cost of 15 dollars for insurance. Construct a function C(x) that gives the total cost of renting a car for x days.
C(x)=________
If Aidan has budgeted 195 dollars for the rental, how many days can he afford?
Answer:He can afford 4 days
Step-by-step explanation:
45 x 4 is 180$, plus the 15 for insurance equals 195
Brainliest is gained through the correct answer, that's explained. At 86 km/h, how far can you travel in 8 h? Use unit analysis to check your answer.
Glad I can help!!!
Answer:
688
Step-by-step explanation:
Assuming that the car stays at exactly the same speed for all 8 hours then the equation you should use is 86 x 8=688.
If satisfied leave a review to let me know how I did and feel free to give brainiest.
Answer:
688 kilometers.
Step-by-step explanation:
im not sure what unit analysis is, but you would multiply 8 and 86. kilometer per hour. soo yeah lol 8×86=688. you would be able to travel 688 kilometers. you Don't have to give me brainliest lol but I hope that this helps :)
If f(x)=-3x+4 and g(x)=2 solve for the value of x for which f(x) = g(x) is true
Y is the midpoint of XZ. X has coordinates (2, 8), and Y has coordinates (–3, 10). Find the coordinates of Z.
Answer:
The coordinates of Z is (-8,12)
Step-by-step explanation:[tex]\frac{2+x^{2} }{2}= -3 \\\frac{8+y^{2} }{2} = 10[/tex]
You multiply -3 by 2 to get -6 then multiply 10 by 2 to get 20
then you create the equations [tex]2+x^{2} =-6\\8+y^{2} =20[/tex] you subtract 2 by -6 and you get -8 (x coordinate) and you subtract 8 by 20 to get 12 (y coordinate)
To check your answer you use the Midpoint formula [tex](\frac{x^{1}+ x^{2} }{2} )(\frac{y^{1}+y^{2}}{2}) =M[/tex]
[tex]\frac{2+-8}{2} =\frac{-6}{2} = -3\\\frac{8+12}{2} =\frac{20}{2} =10[/tex] and you get your midpoint.
y = f(x) = 4x
Find f(x) when x=1/2
Enter the correct answer.
Answer:
2
Step-by-step explanation:
4(1/2) = 2
