Answer:
sorry
Step-by-step explanation:
It will take for David 11 hours to catch up with John
Speed is the ratio of distance traveled to the total time taken. Speed is given by:
Speed = distance / time
Let d represent the distance at which both John and David meet up at time t hour.
Since drove at 55 mph and is an hour faster, hence:
55 = d / (t + 1)
d = 55t + 55 (1)
John is driving at 60 mph, hence:
60 = d / t
d = 60t (2)
equating equation 1 and 2:
55t + 55 = 60t
5t = 55
t = 11 hours
Hence, it will take for David 11 hours to catch up with John
Find out more at: https://brainly.com/question/2261058
Peter buys 8.5 square feet of carpet. The carpet costs $10.20 per square foot. How much does Peter pay for the carpet?
Answer:
$86.70
Step-by-step explanation:
Answer: $86.7
Step-by-step explanation: because you have to multiply them
Determine if this data is an example
of a function.
(0,5); (-3, 4); (0, 2); (2, 3)
Relation
Function
no because two of the pairs have the same input values
A farmer wants to build a rectangular pen which will be bounded on one side by a river and on the other three sides by a single-strand electric fence. If the farmer has 40 meters of wire to use, what is the largest area that the farmer can enclose?
Answer:
A) Dimensions;
Length = 20 m and width = 10 m
B) A_max = 200 m²
Step-by-step explanation:
Let x and y represent width and length respectively.
He has 40 metres to use and he wants to enclose 3 sides.
Thus;
2x + y = 40 - - - - (eq 1)
Area of a rectangle = length x width
Thus;
A = xy - - - (eq 2)
From equation 1;
Y = 40 - 2x
Plugging this for y in eq 2;
A = x(40 - 2x)
A = 40x - 2x²
The parabola opens downwards and so the x-value of the maximum point is;
x = -b/2a
Thus;
x = -40/2(-2)
x = 10 m
Put 10 for x in eq 1 to get;
2(10) + y = 40
20 + y = 40
y = 40 - 20
y = 20m
Thus, maximum area is;
A_max = 10 × 20
A_max = 200 m²
The area of the pen is the product of its dimensions
The largest area the farmer can enclose is 200 square meters
The perimeter of the pen is given as:
[tex]\mathbf{P = 40}[/tex]
Because one side of the fence is covered by a river, the perimeter would be:
[tex]\mathbf{2x + y = 40}[/tex]
Make y the subject
[tex]\mathbf{y = 40 - 2x}[/tex]
The area of the pen is:
[tex]\mathbf{A = xy}[/tex]
Substitute [tex]\mathbf{y = 40 - 2x}[/tex]
[tex]\mathbf{A = x(40 - 2x)}[/tex]
Expand
[tex]\mathbf{A = 40x - 2x^2}[/tex]
Differentiate
[tex]\mathbf{A' = 40 - 4x}[/tex]
Set to 0
[tex]\mathbf{ 40 - 4x = 0}[/tex]
Rewrite as:
[tex]\mathbf{ 4x = 40}[/tex]
Divide through by 4
[tex]\mathbf{x = 10}[/tex]
Substitute 10 for x in [tex]\mathbf{A = x(40 - 2x)}[/tex]
[tex]\mathbf{A = 10 \times (40 - 2(10))}[/tex]
[tex]\mathbf{A = 200}[/tex]
Hence, the largest area the farmer can enclose is 200 square meters
Read more about maximum areas at:
https://brainly.com/question/11906003
Simplify square root 3^15
Answer:
Take the square root of 3 then raise it to the 15 th power, i.e. (√3)15. Raise 3 to the 15 th power then take the square root, i.e. √315.
Answer:
D
Step-by-step explanation:
3^7 square root of 3
What is 140% of a dollar
Answer:
1.4 U.S. Dollar
Step-by-step explanation:
Balancing equations C4H10O+O2>>CO2+h2O
Answer:
C4H10O + O2 = CO2 + H2O - Chemical Equation Balancer.
Step-by-step explanation:
help me pls!! thank u!!
Answer:
22.916666666 The six is repeated
Step-by-step explanation:
10/12=8.3333333 and 8.3333333*27.5=22.916666666 repeated
Answer:
About 23
Step-by-step explanation:
Weight x 0.83333 = medication
so, 27.5 x 0.83333 = 22.825 (rounded to 23)
Answer below
Brainliest
Answer:
25 remainder of 4
Step-by-step explanation:
Answer:
here hope this will be you ^^"
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Sam
is training for an upcoming
wrestling match. He trains for 3.5
hours each day Monday through
Wednesday. He trains for 2.5 hours
each day on Thursday and Friday.
How many hours will Sam train
if the event is 6 full weeks away?
(6-7)
A 105 hours
B 252 hours
C 52.5 hours
D 93 hours
Mr.Lester needs less than 1/2 cup but more than 1/3 cup of flour to make a sauce.Which of the following could be the amount of flour that he needs?
Answer:1/4
Step-by-step explanation:
Find the product
-3(5) I need help
Answer:
-15
Step-by-step explanation:
() means to multiply
So, -3(5) = -3 x 5 = -15
Answer: -15
The question asks you to find the "product," which means the result of multiplying. Both the word "product" and the parentheses indicate that you have to multiply.
Since it's a negative (-) multiplied by a positive (+), your product will be negative (-).
So, -3(5) = -15.
f(x) = -2x² – 12x – 19
Describe the end behavior and list the number of turning points of each function
Answer:
just figue out 2x2 then the answer subtract 12x then subtrct 191
Step-by-step explanation:
The average starting salary for this year's graduates of a large community college is $30,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed. a. What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400? b. Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break? c. what are the minimum and the maximum starting salaries of the middle 95% of the LU graduates? d. If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?
Answer:
0.048 ; 0.03593 ; (14320, 45680) ; 6000
Step-by-step explanation:
Given a normal distribution :
Mean salary (m) = $30000
Standard deviation (s) = $8000
A.) probability of having a starting salary of atleast 30400
P(x ≥ 30400)
Obtain the standardized value (Z) :
Z = (x - m) / s
Z = (30400 - 30000) / 8000
Z = 400 / 8000 = 0.05
P(Z ≥ 0.05) = 0.48006 (Z probability calculator)
b. Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?
P(X < 15600)
Obtain the standardized value (Z) :
Z = (x - m) / s
Z = (15600 - 30000) / 8000
Z = - 14400 / 8000 = - 1.8
P(Z < - 1.8) = 0.03593
c. what are the minimum and the maximum starting salaries of the middle 95% of the LU graduates?
Zscore which corresponds to 0.95 is 1.96
Minimum:
-1.96 = (x - 30000) / 8000
-15680 = x - 30000
x = 14320
Maximum :
1.96 = (x - 30000) / 8000
15680 = x - 30000
x = 45680
d. If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?
P(X ≥ 43120)
Z = (43120 - 30000) / 8000
Z = 13120 / 8000
Z = 1.64
P(Z ≥ 1.64) = 0.050503
Hence,
0.050503 = 303
1 = x
x = 303 / 0.05050
= 6000
In 2010, there were approximately 75,000 songs released all year.
Approximately how many songs were released per month?
what is -2.24?
A. -224
B.-2.24
C. 2.24
D. 224
HURRY,HURRY,HURRY. IF CORRECT I GIVE BRAINLIEST.
Answer: B) -2.24
Step-by-step explanation:
Answer: it’s -2.24
Step-by-step explanation:
Because it’s already in decimal form and since it’s a negative decimals number it is -2.24
Divide. 6 ÷ 1/4
helpp
Answer:
24
Step-by-step explanation:
Let’s write them as numbers
6/1/4
Dividing by 4 means multiplying by its reciprocal.
Reciprocal of a number: Can be found when you switch the positions of the denominator and numerator
So reciprocal of 1/4=4/1=4
Next, we multiply by its reciprocal
6*4=24
Therefore, 6 divided by one fourth is 24.
A triangle has ∠1 and ∠2 as remote interior angles with respect to exterior angle ∠3. Given that m∠1 = 50 and m∠2 = 70, Alicia reasoned that m∠3 must be 60. Is Alicia correct? If not, explain Alicia's error.
Answer:
No, 60 is the third interior angle's mesure, not the exterior ∠3.
Step-by-step explanation:
Say that ∠1=∠A=50 and ∠2=∠B=70. The remote interior angles are the angles that are not touvhing the exterior angle. So ∠3 would be the the exterior angle to ∠C. ∠C=60 as the sum of the interior angles is 180.
The exterior angle is the angle formed by extending one of the triangle's sides. A straight line has the angle 180, so∠3=180-∠C=180-60=120.
Suppose that the flying hours for aircraft operated by regional airlines in the U.S. during 2006 are normally distributed with mean 2500 and standard deviation 400. Find the number of flying hours such that about 97.5% of the aircraft has flying hours exceeding this number.
A) 1,700
B) 2,100
C) 2.500
D) 2,900
E) 3,300
Answer:
Step-by-step explanation:
Given that :
Mean (μ) = 2500
Standard deviation (σ) = 400
P = 97.5% = 0.975
Zscore corresponding to p(z > x) = 0.975
Z = - 1.96 ( Z probability calculator)
Using the relation :
Zscore = (score (x) - μ) / σ
-1.96 = (x - 2500) / 400
x - 2500 = 400 * - 1.96
x - 2500 = - 784
x = - 784 + 2500
x = 1716
Hence, number of flying hours required is 1716
Volume = cm3 cylinder
Brian’s birthday is on 10 January and he is having a party that day. Five days before this, he is meeting his brother for lunch and ten days after his birthday he is meeting his sister for lunch. Both of these lunch meetings are at the weekend (i.e. on Saturday or Sunday). On which day of the week is Brian’s birthday?
Answer:
wednesday i think idk (sorry if wrong)
Step-by-step explanation:
What equivalent ratios are less but equivalent to 40:20?
Answer:
8:4
Step-by-step explanation:
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.61 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are between 2.21 and 3.01?
Answer:
68%
Step-by-step explanation:
We start by calculating the z-scores of both
z-score = (x-mean)/SD
for 2.21
z-score = (2.21-2.61)/0.4 = -1
For 3.01
z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1
So what we want to find is the percentage between -1 SD and 1 SD of the mean
This is the percentage corresponding to the probability
P(-1 < x < 1)
According to the empirical rule, this is a value of;
68.269%
When Brandon went bowling,it cost $4.95 per game, plus a one-time fee to rent shoes. Brandon played 5 games and paid $32. Write and solve a linear equation to find the cost to rent the shoes.
Answer:
$7.25
Step-by-step explanation:
4.95 x 5 = 24.75
32-24.75 = 7.25
6.2 as a improper faction
Answer:
6 2/1 i think
Which of the following provides
the best estimate for 0.69 × 0.29?
(6-2)
A 0.7 × 0.3 = 0.21
B 0.6 × 0.2 = 0.18
C 0.5 × 0.5 = 0.25
D 0.06 × 0.03 = 0.002
Answer:
d:)
Step-by-step explanation:
¿Cual es el monto producido por un capital de 7200 colocados al 4% anual durante 3 años y 4 meses ? ( interés)
What’s the unite rate
Answer:
unit rate is that which compares two unit.
Two elves can make 5 toys in 10 minutes How many toys can 4 elves make in 30 minutes?
Answer:
30 toys
Step-by-step explanation:
PLEASE MARK BRAINLIEST
The ratio of 6th grade students to 7th grade students in a soccer league is 15:10. If there are 100 students in all, how many 7th graders are there?
Answer:
40 7th Graders
Step-by-step explanation:
First you add all of the students to get 25. Then you divide 100 by 25 to get 4 (this is gonna be your multiplier) now multiply each part of the ration by 4, and you get 60 6th graders and 40 7th graders :D.
HELP HELP HELP HELP HELP HELP
Answer:
1 question : 0.89 I think.
Answer:
2. 0.51
3. 1.5
4. 0.99
5. 0.66
6. 0.79
7. 5.2
8. 4.86
9. 4.3
10. 1.5
11. 5.84