Answers
Answer:
Yes, Elias got his food before reaching the potluck.
Step-by-step explanation:
Elias left home at 7:00 one morning, determined to make the ten-mile trip to Leaders on a bicycle. Soon thereafter, Elias' parent noticed he had forgotten his potluck dish on the kitchen table, got into the family car, and tried to catch up with the forgetful child. Elias had a fifteen-minute head start, and was pedaling at 12 mph, while the parent pursued at 30 mph. Was Elias reunited with his potluck food before reaching Leaders that day? If so, where? If not, at what time was the food delivered?
Let's set x as the time after the parent leaves as x (time after the first 15-minute headstart)
When the two meet, it means that the distance is equal. Remember, distance = time * speed.
Using this, we know that Elias had a 15-minute headstart at 12 mph, which means that he had 0.25 of an hour. Thus, Elias had a 0.25 * 12 mile headstart.
We can write this equation for the distance Elias traveled.
0.25 * 12 + 12 * x
And this equation for the distance his parent traveled.
30 * x
These equations need to be equal so that the two meet.
0.25 * 12 + 12 * x = 30 * x
Simplify.
3 + 12x = 30x
Subtract 12x from both sides.
3 = 18x
Divide both sides by 18.
x = 1/6
So, it took 1/6 of an hour, which is 10 minutes, for the parent and Elias to meet.
If Elias were to get the food before he reached the potluck, the distance he traveled (0.25 * 12 + 12 * x) needs to be less than 12.
Plug 1/6 in for x.
0.25 * 12 + 12 * 1/6 =
3 + 2 = 5
Elias traveled 5 miles before his parent met him.
So, Elias did get his food before reaching Leaders.
Just in case, let's double-check this answer.
Using the distance = speed * time formula, we know that time = distance/speed. Elias's parent had to travel 5 miles at 30 mph, so it would have taken 1/6 of an hour to drive 5 miles.
Elias traveled at 12 mph for 1/6 + 1/4 of an hour, so he traveled:
(1/6 + 1/4) * 12 =
(4/24 + 6/24) * 12 =
10/24 * 12 =
120/24 = 5 miles
Thus, the previous answer is right.
I hope this helps! Feel free to ask any questions!
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Answer:
798
Step-by-step explanation:
first you do 40x20=800 then 800-6=794 then 794+4=798
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Answer:
h = 79 m
Step-by-step explanation:
The length of the string, H = 125 m
The kite forms 39° angle.
We need to find the height of the kite. Let it is h. We can find it using trigonometry i.e.
[tex]\sin\theta=\dfrac{P}{H}[/tex]
Where
P is perpendicular and H is Hypotenuse
So,
[tex]\sin\theta=\dfrac{h}{H}\\\\h=H\times \sin\theta\\\\h=125\times \sin(39)\\\\h=78.66\ m[/tex]
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Camila baked 150 cookies 60% of the cookies are chocolate chip cookies how many cookies are chocolate chip cookies
Answers
Answer:
90
Step-by-step explanation:
150 x 0.6 = 90
or
150/10 = 15
15 x 6 = 90
Answer:90 is correct
Step-by-step explanation:
-2x + 4 = 104
Please help
Answers
Answer:
x = -50
Step-by-step explanation:
Let's solve your equation step-by-step.
−2x+4=104
Step 1: Subtract 4 from both sides.
−2x+4−4=104−4
−2x=100
Step 2: Divide both sides by -2.
−2x/-2 100/-2
=-50
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answers
Answer:
Step-by-step explanation:
6x+3
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
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Answer:
18 grids for each side
have a nice day ^_^
Answer:
8.0 represents how many squares there are on one side but that will measure to be 4mm on each side. We need to make it 9mm on each side by making the processor bigger and adding 5mm.
½=0.5 and thats 1 square.
Expand each side by 10 and that'll make the processor 9mm.
What is the percent of increase from 54 to 81?
Answers
Answer:
50• A change from 54 to 81 represents a positive change (increase) of 50%
Simplify the expression by combining like terms:
-3m-8(m+1)
Answers
Answer: -11m-8
Step-by-step explanation: first you would distribute (m+1) into -8 causing it to be -3m-8m-8 you then combine like terms getting you -11m-8
Answer:
16m
Step-by-step explanation:
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16m
A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. Historical data indicates that 20% of all potential purchasers select a day visit, 50% choose a one-night visit, and 30% opt for a two-night visit. In addition, 10% of day visitors ultimately make a purchase, 30% of onenight visitors buy a unit, and 20% of those visiting for two nights decide to buy. Suppose a visitor is randomly selected and is found to have made a purchase. How likely is it that this person made a day visit? A one-night visit? A two-night visit?
Answers
Answer:
0.087 = 8.7% probability that this person made a day visit.
0.652 = 65.2% probability that this person made a one-night visit.
0.261 = 26.1% probability that this person made a two-night visit.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Made a purchase.
Probability of making a purchase:
10% of 20%(day visit)
30% of 50%(one night)
20% of 30%(two night).
So
[tex]p = 0.1*0.2 + 0.3*0.5 + 0.2*0.3 = 0.23[/tex]
How likely is it that this person made a day visit?
Here event B is a day visit.
10% of 20% is the percentage of purchases and day visit. So
[tex]P(A \cap B) = 0.1*0.2 = 0.02[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.23} = 0.087[/tex]
0.087 = 8.7% probability that this person made a day visit.
A one-night visit?
Event B is a one night visit.
The percentage of both(one night visit and purchase) is 30% of 50%. So
[tex]P(A \cap B) = 0.3*0.5 = 0.15[/tex]
So
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.15}{0.23} = 0.652[/tex]
0.652 = 65.2% probability that this person made a one-night visit.
A two-night visit?
Event B is a two night visit.
The percentage of both(two night visit and purchase) is 20% of 30%. So
[tex]P(A \cap B) = 0.2*0.3 = 0.06[/tex]
Then
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.23} = 0.261[/tex]
0.261 = 26.1% probability that this person made a two-night visit.
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
Answers
Answer:
She has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Step-by-step explanation:
Continuous compounding:
The amount of money earned, after t years, in continuous compounding, is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the value of the initial investment and r is the interest rate, as a decimal.
Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously.
This means that [tex]r = 0.057[/tex]
How much would Lillian need to invest, to the nearest ten dollars, for the value of the account to reach $7,600 in 7 years?
We have to find A(0) when [tex]A(t) = 7600, t = 7[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]7600 = A(0)(1+0.057)^7[/tex]
[tex]A(0) = \frac{7600}{(1.057)^7}[/tex]
[tex]A(0) = 5156[/tex]
To the nearest ten dollars, she has to invest $5,160 for the value of the account to reach $7,600 in 7 years.
Round 456.5347 to 1. d.p
Answers
because the 2 d.p is lower than 5 you round down
....................
Bobby Hill is taking lady bird to the vet. The bill
is $72 dollars. Lady bird received 3 shots for
$12 each and had to take 2 pills for x amount
each. How much were each pill?
12 = 72 - 12
72 12x + 3x
72 = 36 + 2x
None of the above
Answers
Answer:
72= 36 + 2x
Step-by-step explanation:
1 shot= $12
3 shots= $12×3= $36
$72-$36= $36
2 pills= $36
1 pill= $36/2=$18
x= $18
72= 36 + (2×18)=
36 + 36= 72
g(n) = 4n
f(n) = 4n + 2
Find g(f(n))
Answers
Answer:
16n + 8
Step-by-step explanation:
g(f(n)) = g(4n+2)
= 4(4n +2)
= 16n + 8
Raina drinks 0.65 L of milk every day. How much milk does she drink in 9 days?
Write your answer in milliliters.
Answers
Answer: 5850 milliliters
Step-by-step explanation:
First, you have to do 0.65L x 9 days = 5.85L
And then you have to convert it to milliliters so:
5.85L= 5850 milliliters
Can someone help me please I don’t know if I did it right.
Answers
Answer:
1st, third and last options are correct answers
Step-by-step explanation:
e + 3 + e + 3
2e + 6
2(e + 3)
For a school fundraiser Paul bought a big box of ducks and wrote prize amounts, in dollars on the bottom of each rubber duck. The prize amounts were $5, $10, $20, $50, and$100. The number of ducks with each prize amount varied so that the total value for all the ducks with each prize amount was always $500. Paul then put all of the rubber ducks in his schools swimming pool. At the fundraiser participants used a long net to catch a duck from the pool. They won the amount written on the bottom of the duck, and then they threw the duck back into the pool before the next persons turn. Since the ducks were returned to the pool after they were caught the chances of winning any particular amount remained the same. Andrew paid $15 to play the game once. If we assume he randomly selected a duck, what is the probability that Andrew won more money than he paid to play the game?
Answers
Answer:
Redding East Rotary donates 120 holiday baskets every year. ... Frank was $50 proud. ... Please turn in your tickets and money to Bill Evanhoe directly this year. ... The door prize of $20 to San Francisco Deli was won by Carla Barrett. ... The Duck Derby has raised $3,515,000 and if you put all those ducks end to end they ...
Step-by-step explanation:
(ab)(6a^5b)(-ab) simplified please
Answers
Answer:
25b3a+93b+60a=30a2+b2
Step-by-step explanation:
what is 4 and half hours in minutes
Answers
Ifn is an integer and n2 squared is divisible by 4, then n is divisible by 4.
Answers
This is false, we can prove this with a simple counterexample.
2^2=4
4 is divisible by 4
but 2 is not divisible by 4
The prism shown has a volume of 35 cm^3
Work out h, the height of the triangular cross section.
Length =7 cm
Base=4 cm
Answers
Answer:
[tex]Height = 2.5[/tex]
Step-by-step explanation:
Given
[tex]Volume = 35[/tex]
[tex]Length =7[/tex]
[tex]Base=4 cm[/tex]
Required
Determine the height
The volume is calculated as:
[tex]Volume = Height * Base\ Area[/tex]
Since, it has a triangular cross-section, the expression becomes:
[tex]Volume = Height * \frac{1}{2} * Base * Length[/tex]
So, we have:
[tex]35 = Height * \frac{1}{2} * 4 * 7[/tex]
[tex]35 = Height * 14[/tex]
[tex]Height = 35/14[/tex]
[tex]Height = 2.5[/tex]
Choose 3 values that would make this inequality true: 8 + y ≥ 11
ps help lol
Answers
8+3=11
8+4=12
8+5=13
PLEASE HELP IF POSSIBLE, ASAP!!!!!!!! :)
Answers
The Sum of all 3 needs to equal 1
A. 1/9 + 1/2 + 1/3 = 17/18
B. 1/9 + 2/9 + 1/3 = 6/9 = 2/3
C. 1/6 + 3/9 + 1/3 = 3/18 + 6/18 + 6/18 = 15/18
D. 2/9 + 8/18 + 1/3 = 4/18 + 8/18 + 6/18 = 18/18 = 1
The answer is D
WILL MARK BRAINLYIST
Answers
Answer:
12
Step-by-step explanation:
You solve for x in 2 methods 7x+10=94 Or 4x-6=42
7x=84
x=12
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Answer:
u r correct
Step-by-step explanation:
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(b+4) and (b-1)
Explanation:
do a generic rectangle
b times b is b^2
b times 4 = 4b
-1 times b = -1b
-1 times 4 = -4
b^2+4b-1b-4
simplify
b^2+3b-4
Is x + 1/2 = x - 1/2 true or false
Answers
Answer:
I believe it is false