Two cars leave the same point at the same time traveling in opposite directions. One car travels west at 20 mph and the other travels east at 60 mph. In how many hours will they be 280 miles apart?
-Please provide step by step :)
Answer:
3.5 hours
Step-by-step explanation:
It is given that,
Velocity of first car, v = 20 mph
Velocity of second car, v' = 60 mph
They are moving in opposite direction. Their relative speed is given by :
V = 20 mph + 60 mph = 80 mph
Distance, d = 280 miles
So,
[tex]t=\dfrac{d}{V}\\\\t=\dfrac{280}{80}\ h\\\\t=3.5\ h[/tex]
Hene, they will be 280 mile apart in 3.5 hours.
Suppose 435 students in a school are placed on teams for Play Day. Each team consists of more than two players and fewer than 30 players. All teams will have the same number of players. What size of teams are possible? How many teams of each size are possible?
Answer:
14.5
Step-by-step explanation:
divide
finding slope hw1 ( HELP PLEASE)
What is |1 - 8i|?
Please answer this question
Answer:
the answer is complicated it is 5 actully
Step-by-step explanation:
the answer is 5
Answer:
√(65) Simplified
Step-by-step explanation:
Seven more than the cube of a number
Answer:
7+x^3
it cannot be simplified
g(x) = 3x - 2 Find g(-4)
Step-by-step explanation:
g(x) = 3x - 2
g(-4) = 3(-4) - 2
= -12 -2
= -14
Answer:
Given : g(x) = 3x-2
To find : g(-4)
Step-by-step explanation:
Solution : put g(x) = -4
Now,
g(-4) = 3(-4)-2
=-12-2
=-14
So,the g(-4) is -14....
I hope this may help you ❤️
show how you would use partial products to solve 3x12
Answer:
(10x3) + (2x3)
Step-by-step explanation:
break down the number with two place values (just for this case) and those numbers would be 10+2 so then you multiply each number by 3
:) hope this helps doll!
The required product of 3 × 12 by the partial product method is 36.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The partial product of 3 × 12 is given as
= 3 × (10 + 2)
= 3 × 10 + 3 × 2
= 30 + 6
= 36
Thus, the required product of 3 × 12 by the partial product method is 36.
Learn more about arithmetic here:
https://brainly.com/question/11424589
#SPJ1
Mr.Martin agreed to pay 4/5 of the 60 dinner bill how much will mr.Martin pay.WILL GIVE BRAINLIST
Answer:
he paid 48 dollars
Step-by-step explanation:
its 48 because he payed 4/5 which is 80 percent of 60 and 80 percent of 60 is 48
The Photography Club has 14 members, 10 girls and 4 boys. What is the ratio
of girls to boys in the Photography Club?
A. 5:2
B. 2:5
C. 1.2
Answer:
A
Step-by-step explanation:
Divide them both by 2 an you get 5 and 2. Since the question says girls to boys then you out the girls first. so 5:2
15-3yi=1/2x+2i solve for x and y
Answer:
x=2(5−3iy−2i)
Step-by-step
Regroup terms.
5-3iy= \frac{1}{2} x+2i
Simplify \frac{1}{2}x\frac{x}{2}
5-3iy= \frac{x}{2}+2i
Subtract 2i from both sides.
5−3iy−2i= \frac{x}{2}
Multiply both sides by 2.
(5−3iy−2i)×2=x
Regroup terms
2(5−3iy−2i)=x
Switch sides
x=2(5−3iy−2i)
The solution for the variables x and y are 30 and -2/3 respectively:
Given the expression 15-3yi=1/2x+2i, to solve for the value of x and y, we need to compare the real and the imaginary sides as shown:
Comparing the real sides:
[tex]15=\frac{x}{2} \\x= 15\times 2\\x = 30[/tex]
For the imaginary sides:
[tex]-3yi=2i\\-3y = 2\\y = -\frac{2}{3}[/tex]
Hence the solution for the variables x and y are 30 and -2/3 respectively:
Learn more here: https://brainly.com/question/17794535
The River Springs Middle School SGA wants to put on an 8th grade field trip to Universal Studios. They need to raise at least $1250 for the entire 8th grade to be able to go.Mrs Gotlib donates $600.To raise the rest of the money,SGA will sell candy bars for $5 each. Which inequality represents how many candy bars SGA will need to sell.
Please help me with this problem, i will give the max points.
Answer:
600+5c greater than or equal to sign 1250
Step-by-step explanation:
They need to raise at least 1250$ but they can also raise more than that and we do not know how many candy bars they will be able to sell.
a line contains points M(1,3) and N(5,0). What is the slope of MN
Answer:
-3/4, I believe
Step-by-step explanation:
m= y2-y1/x2-x1
m=0-3/5-1
m=-3/4
**please don't use this answer if you see something wrong with the explanation**
Simplify the
composite function
(g o f) (x)
f(x)=2x+3
g(x)=x
Answer:
[tex]2x^{2} +3x[/tex]
Step-by-step explanation:
g(2x+3)
x(2x+3)
2x^2+3x
The local grocery store sells different sizes of peanut butter. Find the unit prices for each size container, and then identify the best deal.
12 oz: $
per oz
16.3 oz: $0.38 per oz
28 oz: $
per oz
64 oz: $
per oz
Which size is the best deal?
Answer:
The local grocery store sells different sizes of peanut butter. Find the unit prices for each size container, and then identify the best deal.
12 oz: $
✔ 0.35
per oz
16.3 oz: $0.38 per oz
28 oz: $
0.30
per oz
64 oz: $
✔ 0.33
per oz
Which size is the best deal?
✔ 28 oz
Step-by-step explanation:
I just copied and pasted it on here
Which statement about the angle measures is true?
mZBAC + m2ABC = 95
mZBAC + m2ACB = 85
mZBAC-MZABC = 85
mZBAC + m2ACB =95
DONE
My Progress
Answer:
i think its the 2nd one
Step-by-step explanation:
Will had 837 stamps in his collection. He
had 187 stamps from Tobago. The rest of his
stamps were from Fiji. How many stamps did
Will have from Fiji?
otebo...
Posted today at 8:49 am
Write a comment
Answer:
650 from fiji
Step-by-step explanation:
837-187=f
837-187=650
Can someone help and tell me how you got the answer
Answer:
x = 15
Step-by-step explanation:
x/3 + 10 =15
Subtract 10 from each side
x/3+10-10 =15-10
x/3 = 5
Multiply each side by 3
x/3*3 = 5*3
x=15
The tallest basketball player in the school's basketball team is 6 feet tall . Jacobs height is 11/12 of the height of the tallest basket ball player. What is jacobs height.
Answer:
Jacob is 5 1/2 ft
(>'-'<)
Which equation can be used to find 40 percent of 252
Answer:
you can look that up on google, answer is 100.8
Step-by-step explanation:
15 + x ≤ –45 solve using inverse opertation
I believe the answer is x ≤ -60.
PRECALCULUS HELP IM BEGGING YOU
Dean has built a ferris wheel in his backyard. It has a diameter of 10 feet and completes 30 revolutions per minute. Sketch a quick graph and find the period of the function that describes the height above the ground of a seat on the outside edge of this ferris wheel.
Answer: Period = 2 seconds
Graph is shown below
========================================================
Explanation:
1 minute = 60 seconds
We have 30 revolutions every 60 seconds, so we can write the ratio
30 rev: 60 sec
Divide both parts by 30 to turn that "30 rev" into "1 rev"
30 rev: 60 sec
30/30 rev: 60/30 sec
1 rev : 2 sec
This tells us that each full revolution takes 2 seconds. This is the period of the ferris wheel. The period is the length of each cycle.
The cyclic or periodic nature of this motion heavily implies we'll be dealing with a sine or cosine function of some kind. Let's go with sine.
Side note: cosine is really a sine function in disguise (it's just a phase shifted version of it).
---------------------
The general sine curve equation is
y = A*sin(B(x-C)) + D
where
|A| = amplitudeB = 2pi/T with T being the periodC handles phase shifts (left and right shifting)D handles vertical shifting, and y = D is the equation of the midline---------------------
The wheel is 10 feet in diameter, so 10/2 = 5 is the radius. This is also the amplitude because it is the distance from the midline to either the highest point (10 ft) or lowest point (0 ft). So A = 5.
Since T = 2 is the period, this means,
B = 2pi/T
B = 2pi/2
B = pi
We don't have any phase shifts to worry about so C = 0.
The midline is D = 5 since this is halfway up
----------------------
Putting all the pieces together, we get this sine equation
y = A*sin(B(x-C)) + D
y = 5*sin(pi*(x-0)) + 5
y = 5*sin(pi*x) + 5
The graph is shown below.
x = time in seconds, y = height of the seat
Name the shaded angle in four different ways.
Answer:
Step-by-step explanation:
ABC
CBA
1
B
Answer:
1 ABC CBA B is the correct answers
Each package of hot dogs has 10 hot dogs and each package of hot dog buns has 8 Danny experts to need 72 hot dogs for a class picnic how many packages of hot dogs buns should Danny get?
Answer:
9
Step-by-step explanation:
Two numbers are given 64 and 100 what is the greatest common factor of these two numbers
Answer:
The common factors of 64 and 100 are 4, 2, 1, intersecting the two sets above. In the intersection factors of 64 ∩ factors of 100 the greatest element is 4. Therefore, the greatest common factor of 64 and 100 is 4.
Step-by-step explanation:
If a = 6,b=8, then what is 3ab?
Answer:
144
Step-by-step explanation:
3(6x8)
3x48
144
Answer:
144
Step-by-step explanation:
3 mutiplied by a, or 6, is 18.
18 Multiplied by b, or 8, is 144.
(2 + y) +z = (y + 2) + z
Answer:
It’s probably infinitely many solutions
Step-by-step explanation:
See attached picture
*sorry if that doesn’t help
Last year Lenny had an annual earned income of $58,475. He also had passive income of $1,255, and capital gains of $2,350. What was Lenny’s total gross income for the year?
a.
$58,475
b.
$59,730
c.
$60,985
d.
$62,080
Answer:
d. $62,080
Step-by-step explanation:
Annual earned income = $58,475
Passive income = $1255
Capital gains = $2350
Unknown:
Total gross income for the year = ?
Solution:
Gross income is the some of all the income within a given period time.
Gross income = Annual income earned + Passive income + Capital gains
= $58,475 + $1255 + $2350
= $62,080
His gross income is $62,080
Answer:
His gross income is $62080
Step-by-step explanation:
Gross income, in other words, means total income. So if you want to find the gross income, you have to add ALL his earnings together.
$58475+$1255+$2350=$62080
And that is the final answer, since that his is only income earned.
Vincent’s baseball coach suggested that he drink one-half gallon of water daily. If Vincent drinks one-half gallon of water, how many 8-ounce glasses will he drink?
Answer:
8 eight ounce glasses
Step-by-step explanation:
1 gallon = 128 oz
.5 gallons = 64 oz
64 oz / 8 oz glasses = 8 8-oz glasses
What is √75 in simplest form? A. 25√3 B. 3√5 C 5√3 D. 5√50
Answer:
c.
Step-by-step explanation:
The square root of 75 is approximately 8.66025 or 5√3 in radical form. The factors of 75 can help in finding its square root.
Hope this helps:)
Answer: the answer is C! I hope this helped! :)
Step-by-step explanation:
Given that is a standard normal random variable, find for each situation (to 2 or 3 decimals). a. The area to the left of is .
This question is incomplete, the complete question is;
Given that is a standard normal random variable, find for each situation (to 2 or 3 decimals)
a. The area to the left of z is 0.8
b. The area to the left of z is 0.882
c. The area to the right of z is 0.8225
(Hint: Enter the positive z-value)
Answer:
a) z = 0.84
b) z = 1.185
c) z = -0.925
Step-by-step explanation:
a)
area to the left of z is 0.8
Making use of the standard normal table
p( Z < z ) = 0.8
we check the the probability of 0.8 in the standard normal table
so the corresponding value of z is 0.84
p( Z < 0.84 ) = 0.8
z = 0.84
b)
area to the left of z is 0.882
Making use of the standard normal table
p( Z < z ) = 0.882
we check the the probability of 0.882 in the standard normal table
so the corresponding value of z is 1.185
p( Z < 1.185 ) = 0.882
z = 1.185
c)
area to the right of z is 0.8225
Making use of the standard normal table
p( Z > z ) = 0.8225
1 - p( Z < z ) = 0.8225
p( Z < z ) = 1 - 0.8225
p( Z < z ) = 0.1775
p( Z < -0.925 ) = 0.1775
z = -0.925