Answer:
Your average speed must be 90 mph in the remaining distance in order to have overall average speed of 60 mph
Step-by-step explanation:
The rule of distance is d = v × t, where
v is the average speedt is the time∵ You wish to average 60 mph on a drive from your home to town
∵ The distance from your home to town is 78 miles
→ Find the time of your journey using the rule above
∴ 78 = 60 × t
→ Divide both sides by 60
∴ [tex]\frac{78}{60}[/tex] = t
∴ t = [tex]\frac{13}{10}[/tex] hours
∵ You have averaged only 45 mph in the first 39 miles (half way)
∴ v1 = 45 mph
∴ d1 = 39 miles
→ Find the time of this part
∴ 39 = 45 × t1
→ Divide both sides by 45
∴ [tex]\frac{39}{45}[/tex] = t1
∴ t1 = [tex]\frac{13}{15}[/tex] hour
→ Subtract the time of the first part from the time of the journey to
find the time for the second part
∵ t2 = t - t1
∴ t2 = [tex]\frac{13}{10}[/tex] - [tex]\frac{13}{15}[/tex]
∴ t2 = [tex]\frac{13}{30}[/tex] hour
→ Now let us find the average speed of the second part of his journey
∵ d2 = 39 miles ⇒ (78 - 39)
∵ t2 = [tex]\frac{13}{30}[/tex] hour
∴ 39 = v2 × [tex]\frac{13}{30}[/tex]
→ Divide both sides by [tex]\frac{13}{30}[/tex]
∴ 39 ÷ [tex]\frac{13}{30}[/tex] = v2
∴ 90 = v2
∴ v2 = 90 mph
∴ Your average speed must be 90 mph in the remaining distance in
order to have overall average speed of 60 mph
[tex]4=\frac{6}{a}x+5[/tex]
Please help!
The sum of Linda's and Ginger's ages is 15. The product of their ages is 56. If Ginger is older than Linda how old is each girl?
Answer:
Ginger is 8, Linda is 7
Step-by-step explanation:
x+y=15
x*y=56
what is the equation of the line perpendicular to the line y = -x + 2 through the point (3, 5)?
Answer:
First, solve 3x+2y=4 for y.
*Subtract 3x from both sides*
2y=-3x+4
*Divide both sides by 2*
y=-3/2x+2
Parallel lines have the same slope so the answer is y=-3/2x+7/2
Hope this helps!!
y= -2x - 45. solve for x if y = -10
Answer:
-17.5
Step-by-step explanation:
-10 = -2x - 45
(add 45 on both sides)
35 = -2x
(divide both sides by -2)
x = -17.5
Rewrite the expression by factoring out (w-7).
3w2(w– 7) - 5(w-7)
Using exponential maths what is 2x = 1/128
Please Help! :(
Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field. Write and solve an algebraic equation whose solution is the number of players, p, on each team.
Write the Equation and the answer please
Answer: there is 90 players in total
Step-by-step explanation:
6x 2= 12
78 + 12 = 90
Answer:
x=15
Step-by-step explanation:
6(x−2)=78 (or 6x−12=78), x=15
pleas yall help ill give you brainiest if you help
Answer:
C) $3557.75
Step-by-step explanation:
First...
Use the equation SI = PRT/100 or (simple intrust is equal to principle*rate*time divided by 100).
(53500*13.3*0.5)/100
Next...
Mutiply
355775/100
Finally...
Divide
355775/100 = 3557.75
So the answer is...
$3557.75
|
1.64 divided by what equals 0.04?
Answer:
41Step-by-step explanation:
1.64 : x = 0.04 ⇒ x = 1.64 : 0.04
1.64 : 0.04 → 164 : 4 = 41
Check:
1.64 : 41 = 0.04
1.64 divided by the number 41 equals 0.04.
What is the division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
The given numbers are 1.64 and 0.04.
Let the unknown number be x.
1.64 divided by x equals 0.04, that is
1.64/x =0.04
0.04x=1.64
x=1.64/0.04
x=41
Therefore, 1.64 divided by 41 equals 0.04.
To learn more about the division visit:
https://brainly.com/question/1575906.
#SPJ2
A manufacturing company wants to maximize profits on products A, B, and C. The profit margin is $3 for A, $6 for B, and $15 for C. The production requirements and departmental capacities are as follows.
Production Requirement by Product
Department
(hours)
Departmental Capacity
(total hours)
A
B
Assembling
2
30,000
Painting
1
38,000
Finishing
2
28,000
What is the maximum profit in this model?
3
ONN
2
1
O A. $57,000
OB. $95.000
C. $225,000
D. $75,000
9514 1404 393
Answer:
C. $225,000
Step-by-step explanation:
The utilization for each department must be at most the available capacity. Each product quantity must be non-negative.
You could almost guess the answer here because the profit on product C is so much higher than for the others.
Profit is maximized by producing as much of product C as possible. That quantity is limited by the assembly hours constraint: 2C ≤ 30,000. This permits production of 15,000 units, so gives a profit of ...
$15·15,000 = $225,000 . . . maximum profit
The Walt Disney Company, the production studio behind the Marvel Cinematic Universe, is trying to find the best release date for their new super hero movie. They are hesitating between the summer and winter holiday release, and they want to know if there is any difference between the earning potential during those seasons. The analytics division in the company examined a random sample of box-office data for movies released during the past 5 years in the USA and Canada and found that 53 out of 1252 movies with summer release date earned over 400 million dollars. They also counted that out of 544 movies released in the winter, 6 earned over 400 million dollars. Round all answers to four decimal places.
Over 400 million USD Under 400 million USD Total
Summer release 54 1252
Winter release 6 547
Total
Required:
a. What are the hypotheses for testing whether there is a significant difference in the proportion of movies who earn over 400 million dollars for the two release seasons?
b. Calculate the difference in the proportions of movies that earned over 400 million dollars.
Answer:
dont know..................what is Pi? explain.
Answer:
Pi is a irrational number
Step-by-step explanation:
Pi is an irrational number because it never ends it keeps going on and one.
Pi is also 3.141592654.............. never ends
Louis deposited $300 into his bank account. She now has $4501. Enter and solve an equation to find how much was in his account before the deposit. Let it represent the variable.
Answer: $4,201
Step-by-step explanation: 4,501 - 300 = 4,201
Answer:
d+300=4501
Step-by-step explanation:
Take the total: 4501 and subtract it by the amount of money he deposited the second time: 300 and that will show you the missing amount he had in his account before the deposit.
4501-300=4201
Water flows through a pipe at a rate of 8 pints per hour. Express this rate of flow in cups per week.
Answer:
2,688 cups per week
Step-by-step explanation:
Lets begin by figuring out the pints per week/pints per day. Multiplying 8 times 24, we get our daily total of 192 pints per day. Multiply this by 7 and we get a total of 1344 pints per week. We now must convert these pints into cups, which can be done by multiplying the total amount of pints by 2. 1344 times 2 = 2,688 cups
Help! Please. I don’t know what to do. I got this wrong. Thanks.
Answer: I believe the answer would be 1/9 ?
- Karan has n chocolates. He gave his younger brother 5 chocolates and distributed the remaining is
equally between his friend and himself. How many chocolate did his friend get in terms of n?
Answer:
4 chocolates
Step-by-step explanation:
n-c
brother-5n
5n-n=4
=4
guys what is 265 divided by 53
Answer:
5
Step-by-step explanation:
265/53= 5
Answer:
265÷53=5
Step-by-step explanation:
just get a calculator
An ant crept to a hole, which was 210 cm away.
It crept 40 cm per minute, but the wind pushed
it back 5 cm every minute. How many minutes
will it take the ant to reach the hole?
Answer:
6 minutes
Step-by-step explanation:
The ant can crawl 40 cm per minute but is pushed back 5 cm every minute aswell. In total the ant will crawl 35 cm per minute (40 - 5 = 35).
In order to find how long it will take for the ant to reach the hole we divide 210 by 35 (210/35) to get the answer of 6, therefore it takes the ant 6 minutes to reach the hole.
3- ¿Cuál es la probabilidad de que al escoger un número positivo de dos cifras, este sea
primo y termine en 3?
O a) 1/15
b) 2/90
c) 6/91
d) 9/90
Answer:
6 primos de dos cifras(casos favorables) / 90 numeros de dos cifras(casos posibles) = 1/15
Step-by-step explanation:
Usando el concepto de probabilidad, se encuentra que hay una probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea primo y termine en 3.
------------------------------
Una probabilidad es dada por la división de el número de resultados deseados por el número de resultados totales. Hay 90 números positivos de dos cifras.13, 23, 43, 53, 73, 83 son primos y terminan en 3, o sea, el número de resultados deseados es 6.Entonces:
[tex]p = \frac{6}{90} = \frac{1}{15}[/tex]
Probabilidad de [tex]\frac{1}{15}[/tex], opcion A, de que al escoger un número positivo de dos cifras, este sea primo y termine en 3.
Un problema similar es dado en https://brainly.com/question/24583317
find the value of x
PLEASE HELP!!!
What does ± mean in math?
I WILL MAKE YOU A BRAINLIEST AND YOU WILL RECEIVE 50 POINTS!!!
A water tank holds 648 gallons but is leaking at a rate of 4 gallons per week. A second water tank holds 864 gallons but is leaking at a rate of 7 gallons per week. After how many weeks will the amount of water in the two tanks be the same?
The amount of water in the two tanks will be the same in ________ weeks.
Answer:
The first tank contains
486 gal - (4 gal/week) t
gal of water after t weeks.
Similarly, the second tank contains
648 gal - (7 gal/week) t
gal of water.
The tanks hold the same amount of water when these two amounts are equal:
486 gal - (4 gal/week) t = 648 gal - (7 gal/week) t
(7 gal/week) t - (4 gal/week) t = 648 gal - 486 gal
(3 gal/week) t = 162 gal
t = (162 gal) / (3 gal/week)
t = 54 weeks
Step-by-step explanation:
Turn 2 1/8 into an improper fraction. Explain your steps
Answer:
17/8
Step-by-step explanation:
2 1/8 multiply 2 times 8 and 1 which equals to 17/8. The whole number times the denominator plus the numerator basically.
Answer:
17/8
Step-by-step explanation:
8 x 2 = 16
16 + 1 = 17
complete the equation to fing the quotient of 2,275÷7
the quotient is that best of luck
Marco has joined a bowling league, and is trying to raise his average to 140. On his last four games he scored 133, 130, 131, and 136. How much will he need to score on the next game to raise his mean to 140?
What is the slope of the points (2,5) and (0,-4)?
To find the slope of two points, we have to first assign our points as x1, y1 and x2, y2.
In our problem,
x1 = 2 and y1 = 5
x2 = 0 and y2 = -4
We know that that slope = y2 - y1 / x2 - x1. Let's plug our numbers into this formula.
Slope = -4 - 5 / 0 - 2 = -9 / -2 = 9 / 2
Sharon invests $2000 in a savings
account with a fixed annual interest rate of
7% compounded monthly. What is the amount in her saving account after 5 years?
Help :(
Answer: 0.07
Step-by-step explanation:
Use the given functions to set up and simplify 5years. 7% = 0.075 years = 0.07
Tony bought a new pair of soccer cleats that was originally priced at $110.00 He received a 40% discount. What is the total sale price for the cleats
Answer:
$44
Step-by-step explanation:
So this original price is 110 dollars, with a 40% discount.
1) You want to change 40% to a decimal to be able to multiply. this is 40/100=0.4
2) With that in mind you can then do 110x0.4=44
That means the new discounted price is $44.
The elevation of a sea animal is -20 what is elevations tat are greater than the elevation of the sea animal?
Answer:
20
Step-by-step explanation:
Answer:
-10, 0, 10, 20, 30, etc.
Step-by-step explanation:
There are multiple elevations greater than -20
If you add +10 you will get closer to the positives. Any positive is greater than -20, EVEN 0!
Evaluate the expression x+2y when x=2 and y=−2.5.
Answer: -3
Step-by-step explanation:
If you plug in the numbers, the equation would look like: 2+2(-2.5)
Multiply 2 by -2.5 and you'll get -5 as your product. Add 2 and -5 together to get the sum of -3.
Answer:
‒3
Step-by-step explanation:
x+2y=2+2(‒2.5)
=2+(‒5)
=2‒5
=‒3
i hope it helps you