Answer:
The reasonable number of days to reach Indianapolis is 3 days.
Step-by-step explanation:
Total distance to be covered from Houston to Indianapolis, d= 1022 miles.
As they plan to drive between 425 and 475 miles/day, so the range of the rate of driving per day, r, is 425<r<475.
Let t day is the reasonable number of days to complete the journey.
As time = (distance)/(speed), so
[tex]t=\frac d r\cdots(i)[/tex]
The given range of the rate is
[tex]425<r<475[/tex]
If [tex]a>b[/tex], than [tex]1/a<1/b[/tex] for [tex]a,b\neq0[/tex];
[tex]\Rightarrow \frac {1}{425}>\frac {1}{r} >\frac{1}{475}[/tex]
If a>b, the for any [tex]\alpha>0[/tex], [tex]a\alpha>b\alpha[/tex], so multiply the above equation by [tex]d[/tex], we have
[tex]\frac {d}{425}>\frac {d}{r} >\frac{d}{475}[/tex]
[tex]\Rightarrow \frac {d}{425}>t >\frac{d}{475}[/tex] [from equation (i)]
[tex]\Rightarrow \frac {1022}{425}>t >\frac{1022}{475}[/tex] [given, d=1022 miles]
[tex]\Rightarrow \frac {1022}{425}>t >\frac{1022}{475}[/tex]
[tex]\Rightarrow 2.40>t >2.15[/tex]
So, to cover the distance of 1022 miles, with the speed in between 425 miles/day and 475 miles/day, Jerry's family will take in between 2.40 days and 2.15 days. This means, for the given speed range, they need 2 complete days and some fraction of 3rd day to reach Indianapolis.
Hence, the reasonable number of days to reach Indianapolis is 3 days.
Which of the following equations have no solution? Check all that apply.
PLS HELP AND GET RIGHT FOR BRAINLY AND 20 PTS
Triangle Z prime is the image of triangle Z after a series of transformations.
On a coordinate plane, triangle Z has points (0, 2), (2, 6), (4, 2). Triangle Z prime has points (negative 2, 3), (negative 1, 5), (0, 3).
Aliyah and Ivan described the sequence of transformations in different ways.
Aliyah’s Sequence
Ivan’s Sequence
1. a reflection of triangle Z across the y-axis
2. a dilation by a scale factor of One-half with the origin as the center of dilation
3. a translation 2 units up
1. a dilation of triangle Z by a scale factor of One-half with the origin as the center of dilation
2. a translation of 2 units up and 2 units to the left
Which sequence or sequences are correct and why?
Only Aliyah is correct. A dilation and translation alone could not produce triangle Z prime .
Only Ivan is correct because the dilation must be the first step in the sequence.
Both Aliyah and Ivan are correct because both chose the correct scale factor for the dilation and both describe other transformations that would produce triangle Z prime.
Neither Aliyah nor Ivan is correct because the scale factor they chose for the dilation is incorrect.
Answer:
The answer is C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Both Aliyah and Ivan are correct because both chose the correct scale factor for the dilation and both describe other transformations that would produce triangle Z prime.
whats 9 + 10????????????????????????????????????
21
------------------------------------------------------------------------"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman GhostBusters
A recipe asks that the following three ingridients be mixed together as follows add 1/2 of a cup of flour for every 1/2 of a teaspoon of baking soday and every 1/4 of a tea spoon of salt. A. 1 teaspoon of baking soda per 1 cup of flower B. 2 teaspoons of salt per 1 cup of flour C. 1 teaspoon of baking soda per 2 teaspoons of salt D. 1/2 teaspoon of salt per 1 teaspoon of baking soda E. 2 teaspoons of salt per 1 teaspoon of baking soda. Select all that apply.
Answer:
A and D are the only ones correct
Step-by-step explanation:
I did it
Answer: A D
Step-by-step explanation:
There u go
The cost c in dollars to rent a surfboard is proportional to the number of hours H it cost you $30 to rent a surfboard for five hours this situation is c equals
Answer:
c = 6H
Step-by-step explanation:
This is a question showing that there is a direct variation between the cost, c, and hours, H.
So that;
c ∝ H
∝ is the proportionality sign
c = kH
where k is a constant of proportionality.
Thus, given that c = $30 and H = 5 hours, then;
30 = k x 5
30 = 5k
Divide both sides by 5 to have;
k = [tex]\frac{30}{5}[/tex]
k = 6
For this situation, since k = 6; then,
c = 6H
A bag contains 15 marbles. The probability of randomly selecting a green marble is One-third. The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is StartFraction 1 over 15 EndFraction. What is the probability of randomly selecting a red marble
Answer:
1/5
Step-by-step explanation:
Total Number of Marbles in the bag = 15
The probability of randomly selecting a green marble is 1/3
The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble = 1/15
The probability of randomly selecting a green marble, replacing it, and then randomly selecting a red marble is calculated as
The probability of randomly selecting a green marble × The probability of randomly selecting a red marble
Hence:
1/15 = 1/3 × R
1/15 = R/3
Cross Multiply
R × 15 = 1 × 3
R= 3/15
R= 1/5
Hence, the probability of randomly selecting a red marble is 1/5
During a recent rainstorm, 888 centimeters of rain fell in Dubaku's hometown, and 2.362.362, point, 36 centimeters of rain fell in Elliot's hometown. During the same storm, 15.1915.1915, point, 19 centimeters of snow fell in Alperen's hometown.
Answer:
Answer: 5.64 centimeters more rain fell in Dubaku's town than in Elliot's town. Step-by-step explanation: Amount of rainfall in Dubaku's hometown is 8 centimeters, amount of rainfall in Elliot's hometown is 2.36 centimeters and the amount of rainfall in Alperen's hometown is 15.19 centimeters.
Step-by-step explanation:
Mr. Fitch needs to get a loan to replace the air-conditioning system in his home. The cost of the replacement, including installation, is $4,348.00. He can apply for a 5- year loan or a 3-year loan. Both loans involve simple interest with an annual interest rate of 6.5%. If Mr. Fitch applies for the 5-year loan, how much more will he pay in interest than with the 3-year loan? F. $704.98 G. $565.24 H. $2,260.96 J. $56,524.00
Answer: g
Step-by-step explanation:
4348x.065=282.62
282.62x5=1413.1
282.62x3=847.86
1413.1-847.86=565.24
Compared to a 3-year loan he has to pay G. $565.24 more for a 5-year loan.
What is simple interest?We know simple interest (SI) is given by SI = (p×r×t)/100, where
p = principle, r = rate in percentage, and t = time in years.
Given, Mr. Fitch needs to get a loan to replace the air-conditioning system.
He can apply for a 5- year loan or a 3-year loan. Both loans involve simple interest with an annual interest rate of 6.5%.
Here, p = $4,348.00, r = 6.5%, t₃ = 3 and t₅ = 5.
For, t₃.
SI₃ = (4348×6.5×3)/100.
SI₃ = $847.86.
For, t₅.
SI₅ = (4348×6.5×5)/100.
SI₅ = $1,413.1.
So, the amount of interest he will have to pay more is (SI₅ - SI₃).
= $(1,413.1 - 847.86).
= $565.24.
learn more about simple interests here :
https://brainly.com/question/11564235
$SPJ2
[x-y=- 1. the value of 27 - 3 = 8
Answer:
1st part x= -1+y
the 2nd..the value of 27-3=8 is 16=8 so the value is false. really hope this helps.
240/15 help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Steven is cutting an 11 ft piece of lumber into three pieces to build a triangular garden. Which diagram shows a way in which he can cut the wood to create three pieces that can form a triangle?
A piece of wood is cut into 3 pieces. The pieces are: 2 feet, 2 feet, and 7 feet.
A piece of wood is cut into 3 pieces. The pieces are: 1 foot, 4 feet, 6 feet.
A piece of wood is cut into 3 pieces. The pieces are: 3 feet, 2 feet, and 6 feet.
A piece of wood is cut into 3 pieces. The pieces are: 3 feet, 4 feet, 4 feet.
Answer:
The answer is D) 3ft, 4ft, 4ft.
Step-by-step explanation:
You can find the answer by adding two of the three measures, and if the answer is greater than the third measure then you will be able to make a triangle. Be sure to check each of the measures just in case.
Answer:
D
Step-by-step explanation:
trust the process
what is 12+12 what is the answer
Answer:
24 :)
Step-by-step explanation:
12 + 12 = 24
Answer:
24
Step-by-step explanation:
What is the absolute value of 28?
Answer:
28
Step-by-step explanation: pls mark brainliest
Let f(x) = 5x - 10 and g(x) = x2 - 7. Find f(g(8)).
Answer:
275
Step-by-step explanation:
g(x) = x²-7 ⇒ g(8) = 8² - 7 =57
f(x) = 5x -10 ⇒ f(g(8)) = f(57) = 5.57-10 = 275
Answer:
275
Step-by-step explanation:
First, find g(8).
g(x) = x^2 - 7
g(8) = 8^2 - 7
g(8) = 64 - 7
g(8) = 57
Now find f(g(8)).
f(x) = 5x - 20
f(g(8)) = f(57)
f(57) = 5(57) - 10
f(57) = 285 - 10
f(57) = 275
Answer: f(g(8)) = 275
slope for (-3,-3) and (-5, -2)
Answer:
-1/2
Step-by-step explanation:
-3--2=-1 -3--5=2
-1/2
PLZ HELP ME PLS -~-
Answer:
its the firs one
Step-by-step explanation:
A $75 coat is discounted by 75%. What is the discount being taken off the original
price? lol
Answer:
$18.75 the difference is $56.25
Step-by-step explanation:
Lauren solved the equation - 3y - 18x = 12x - 21 for y and got y = 10x -
7 as the answer. Is this the correct answer?
O Yes
O No
Answer:
No, it's incorrect.
Step-by-step explanation:
The answer should be y = -10x + 7
what is the volume the shapes
Does this shape have rotational, reflection, both or none
.................................................................................
Answer:
that is not a function
Step-by-step explanation:
Solve the equation.
-6y=18
so what is y
Answer: -3
Step-by-step explanation:
6 times 3 is 18, so y is -3
3x^2 – 10x = 8
(it’s to the 2nd power btw)
Answer:
x = 4, (-2/3)
Step-by-step explanation:
3(x^2) – 10x = 8
3(x^2) – 10x - 8 = 0
(3x + 2)(x - 4) = 0
(3x + 2) = 0
3x = -2
x = (-2/3)
(x - 4) = 0
x = 4
Answer:
x = -2/3, 4
Step-by-step explanation:
move all terms to one side
3x^2 - 10x - 8 = 0
split the terms in 3x^2-10x-8 into two terms
3x^2+2x-12x-8=0
factor out common terms in first to and last to
x(3+2)-4(3x+2) =0
factor out common term 3x+2
(3x+2) (x-4)=0
solve for x
x=-2/3,4
Write each number in scientific notation.
1. 58,927
Answer:
58,927 converted to scientific notation is 5.8927 x 10^4 (10 to the fourth power
Step-by-step explanation:
help me pls .. i appreciate it
Which value is a solution of (7)/(4)x^(2)-2=-0.5x+4? A.x=-2 B.x=-1 C.x=1 D.x=5
Answer:
The answer is A.
Step-by-step explanation:
Just answered the question
IS THIS THE RIGHT ANSWER ?!?!!!
Yes thats it bru just submit
hardest question
X+X*94%=1164
X=?
Answer:
x = 600 and 1.94!=0
Step-by-step explanation:
Answer:
X = 600
Step-by-step explanation:
This is the answer because:
1) All you have to do is just isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps! :D
Find $\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right] \cdot \left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1}$
Answer:
1Step-by-step explanation:
Given the expression [tex]\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right] \cdot \left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1}[/tex]
According to indices:
[tex]a^{-1} = \frac{1}{a}[/tex]
Applying this to the question:
[tex]\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1} = \frac{1}\left\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right}[/tex]
Hence:
[tex]\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right] \cdot \left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1} = \frac{\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]}{\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]} \\\\\left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right] \cdot \left[\left(\frac{2}{5}\right)^{12} \left(\frac{3}{16}\right)^{-8}\right]^{-1} = 1[/tex]
Hence the right answer is 1
Answer:
= 1
Step-by-step explanation:
