Answer:
There are 151,200 possible license plates.
Step-by-step explanation:
The order in which the digits are positioned is important(for example, 012345 is a different plate than 102345). No repeat digits are allowed, which means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
There are 10 possible digits(from 0 to 9).
The plate has 6 slots.
So
[tex]P_{(10,6)} = \frac{10!}{(10-6)!} = 151200[/tex]
There are 151,200 possible license plates.
Once Isabel rented the warehouse space, she decided to post ads on several social media sites to advertise her online bookstore. Let x represent the number of months the ads have been posted. Isabel finds that the function below describes the number of books sold as a function of the number of months her ads have been posted. Isabel finds that the function below describes the number of books sold as a function of the number of months her ads have been posted.
f(x) = 1000(∛x) + 1000
Required:
How many books were sold after 8 months?
Answer:
3000 books
Step-by-step explanation:
The correct function that describes the number of books sold as a function of the number of months her ads have been posted is expressed as;
f(x) = 1000(∛x) + 1000
x is the number of months the ads have been posted
Required:
Number of books sold after 8 months
To get this we will substitute x = 8 into the expression given
f(8) = 1000(∛8) + 1000
f(8) = 1000(2) + 1000
f(8) = 2000 + 1000
f(8) = 3000
Hence the total number of books that were sold after 8 months is 3000 books
Answer:
3000 were sold after 8 months
Step-by-step explanation:
Dean picked 28 flowers and Jackie picked 37 flowers. They put the flowers they
picked together. Then, Dean and Jackie divided all of the flowers among 6 flower pots
so that each flower pot had the same number of flowers. How many flowers were left
over after Dean and Jackie had filled the flower pots?
Answer:
if all the pots have an even amount then you should be left with 5 flowers left
Step-by-step explanation:
28+37= 65 there are 6 pots so take 5 away and each pot gets 10
now each pot has an even amount and you are left with 5
Which power of 2 is equal to the expression below?
____________________
| |
| (23)-2 |
|____________________|
A.) 25
B.)2-1
C.)21
D.)2-6
Jasmine and Richard are arguing about which expression represents the sum of (6x - 3y) and (x + y). Richard says it is 7x - 2y but Jasmine says it is 7x - 4y. Who is right? Explain.
Answer:
Richard 7x-27
Step-by-step explanation:
6x-3y + x+y
a boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour. what is the rate of the current?
Answer:
7 or 8 miles per hour
Step-by-step explanation:
The rate of current or velocity of current upriver is 4.5 miles per hour.
What is velocity?Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.
For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.
Let's suppose the velocity or speed of the boat (Velocity in still water ) = V miles/hour
Velocity of current = x miles/hour
Given that,
The boat takes 2 hours to travel 15 miles upriver against the current.
15 miles in 2 hour
⇒ 7.5 miles/hour
Since it is traveling against the current velocity so
V - x = 7.5
And V = 12 miles/hour
By substitution,
12 - x = 7.5
x = 12 - 7.5
x = 4.5 miles/hour
Hence "The rate of current or velocity of current upriver is 4.5 miles per hour".
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billy jogs 4/5 kilometer every minute.how many kilometers does he jog after 6 1/8 minutes?
Answer:
[tex]Distance =24\frac{1}{2}\ km[/tex]
Step-by-step explanation:
Given
[tex]Rate = \frac{4}{5} km/ min[/tex]
Required
Determine the distance covered in [tex]6\frac{1}{8}\ min[/tex]
The distance is calculated using:
[tex]Distance = Rate * Time[/tex]
This gives:
[tex]Distance = 4 * 6\frac{1}{8}[/tex]
Convert to improper fraction
[tex]Distance = 4 * \frac{49}{8}[/tex]
[tex]Distance = \frac{4 * 49}{8}[/tex]
[tex]Distance = \frac{196}{8}[/tex]
[tex]Distance =24\frac{1}{2}\ km[/tex]
Katy ran a mile in 5 minutes. How many seconds are in 5 minutes? Answer without units. *
Captionless Image
Answer:
300 i think
Step-by-step explanation:
Answer:
300 seconds
Step-by-step explanation:
[tex]x1+2x2-x3=3, 2x1+x2-2x3=1, 3x1+4x2-5x3=5[/tex]
Answer: x1 = 0; x2 = 5/3; x3 = 1/3
x1 + 2x2 - x3 = 3 => 2x1 + 4x2 - 2x3 = 6
2x1 + x2 - 2x3 = 1
=> 4x2 - x2 = 5
⇔ 3x2 = 5
⇔ x2 = 5/3
with x2 = 5/3, we have: x1 - x3 = 3 - 10/3 = -1/3
3x1 - 5x3 = 5 - 4.5/3 = -5/3
=> x1 = 0
x3 = 1/3
Step-by-step explanation:
Bea is buying pens and pencils. Pens cost $2 and pencils cost $1. She plans on spending no more than $10 and wants to buy at least 10 items. Which two inequalities model this situation?
Well each pen costs $2 and each pencil costs $1.
One of the equations would be
2p + 1c ≤ 10
She doesn’t want to spend more than 10 dollars but wants to get 10 items. So she’ll be spending $10. For the pencils.
1c ≤ 10 c = 10
1(10) ≤ 10
10 ≤ 10
Now for the pens
2p ≤ 10
2. 2
P = 5
5 ≤ 10
Anymore will go over her budget. She wants to buy at least 10 items not 10 exactly so she can buy 5 pens or 10 pencils.
Solve the equation 2x +45 = 9. Explain the steps
and properties you used.
Answer:
Step-by-step explanation:
Here you go mate
Step 1
2x+45=9 Equation/Question
Step 2
2x+45=9 Simplify
Step 3
2x+45=9 Subtract 45 from sides
2x=-36
Step 4
2x=-36 Divide sides by 2
-18
Answer
x=-18
Hope this helps
Answer:
Step-by-step explanation:
I can help
Step 1
2x +45 = 9 Simplify
Step 2
2x +45 = 9 you gotta subtract 45 from each sides
2x=-36
Step 3
2x=-36 Divide the sides by 2
Answer
x=-18
hope this helps
6) Sally traveled 352.5 miles on 13 gallons of gas. Set up and solve to proportion to find how many miles she can travel on 18 gallons of gas. Round your answer to the nearest whole number of gallons. Your answer
Answer:
add a gallon
Step-by-step explanation:
etj.
Which of the following is equivalent to
E+f/a-d =b/a
Answer:
a is the answerStep-by-step explanation:
to understand thisyou need to know about:cross multiplicationPEMDASgiven:[tex] \frac{e + f}{a - d} = \frac{b}{a} [/tex]let's solve:[tex]step - 1 : define \\ \frac{e + f}{a - d} = \frac{b}{a} \\ step - 2 : cross \: multiplication \\ b(a - d) = a(e + f)[/tex]
The equivalent expression of (e+f)/(a-d) = b/a is a(e+f) = b(a-d). The correct option is A.
What are the equivalent expressions?Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).
Given:
An expression (e+f)/(a-d) = b/a.
To find the equivalent expression:
(e+f)/(a-d) = b/a
Using cross multiplication,
a × (e+f) = b × (a-d)
Simplifying,
a(e+f) = b(a-d).
In order to solve further, we can use the PEMDAS method.
ae + fa = ba - bd.
Therefore, a(e+f) = b(a-d) is an equivalent expression.
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Each school bus going on the field trip holds 36 students and 4 adults. There are 6 field buses on the field trip. How many people are going on the field trip?
Answer:
240 people are going on the trip
Step-by-step explanation:
216 students and 24 parents
1.3.27
The length of a new rectangular playing field is 8 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 506 yards, what are its dimensions?
The width is
Answer:
The width of the field is 49 yards and the length is 204 yards.
Step-by-step explanation:
Let the width be b.
Length = 8+4b
The perimeter of the rectangle = 506 yards
The perimeter of the rectangle is given by :
P=2(l+b)
So,
506=2(8+4b+b)
253 = 8+5b
245 = 5b
b = 49 yards
Length, l = 8+4b
= 8+4(49)
= 204 yards
So, the width of the field is 49 yards and the length is 204 yards.
Which graph represents this system of equations?
y + 2x = 3
y + 2 = 3x
Answer:
The options are not given, so i will answer in a general way.
First, we have the system:
y + 2*x = 3
y + 2 = 3*x
To graph this system, the easier way is writing both equations as linear equations, like:
y = -2*x + 3
y = 3*x - 2
Now we just need to graph these two lines in the same coordinate axis.
To do it, we can replace the value of x by two different values in each equation, and see the correspondent value of y for these values. Then graph the two points, and draw a line that connects them.
For example, for the first equation if we have x = 0, we have:
y = -2*0 + 3
y = 3
Then we have the point (0, 3)
and if x = 1
y = -2*1 + 3 = 1
y = 1
we have the point (1, 1)
Now we only need to graph these points, and draw a line that passes through them.
Once we did this for both lines, the graph we will get will look something like the one above.
And the point where the lines intersect is the solution of the system of equations.
Which is the point (1, 1)
maria and emme each had 4 pints of paint on the first day of painting maria used 3/5 of her 4 pints amd emma used 3/4 of her 4 pints of paint altogether how much of maira and emma paint remained altogether how much of maria and emme paint remained after the first day of painting
HEELLPP ME PLZZZ
Answer:
[tex]\frac{13}{5}[/tex] pints of paints are left together
Step-by-step explanation:
Given
Number of pints of paint with Maria [tex]= 4[/tex]
Number of pints of paint with Emme [tex]= 4[/tex]
On the first day , Maria used [tex]\frac{3}{5}[/tex] of her [tex]4[/tex] pints of paints
Hence, Paint left after first day with Maria
[tex]= 4 - (\frac{3}{5} * 4)\\= \frac{20 - 12}{5} \\= \frac{8}{5}[/tex]
On the first day , Emme used [tex]\frac{3}{4}[/tex] of her [tex]4[/tex] pints of paints
Hence, Paint left after first day with Emme
[tex]= 4 - (\frac{3}{4} * 4)\\\\= 4-3\\= 1[/tex]
Total pint of paint left with both Maria and emme altogether
[tex]= 1 + \frac{8}{5}\\= \frac{5+8}{5} \\= \frac{13}{5}[/tex]
What fraction does Point A on the number line below represent?
Find the solution Y=-3x-5 y=9x+7 and show on graph
Answer:
(-1, -2)
Explanation:
IF U KNOW IT
Kai buys 6 fiction books and 4 nonfiction books.
What is the ratio of fiction books to nonfiction books?
2 : 3
2 : 10
3 : 10
3 : 2
Answer: 3:2
Step-by-step explanation:
This is correct because 3:2 is equal to 6:4. 3:2 is 6:4 divided by 2.
Hope this helps ;)
Answer:
3:2
Step-by-step explanation:
Fiction to non-fiction.
6:4
Now, simplify. Divide both by 2.
6/2=3
4/4=2
3:2 is the ratio.
(5pts) Recall that a standard deck of cards has 52 cards. The cards can be classified according to suits or denominations. There are 4 suits, hearts, diamonds, spades and clubs and there are 13 cards, each of a different denomination, in each suit. The 13 denominations are, Aces, Kings, Queens, ...,Twos, with 4 cards in each denomination (one of each suit). A poker hand consists of a sample of 5 cards drawn from the deck (without replacement). How many poker hands consist of 2 Aces, 2 Kings and a card of a different denomination?
Answer:
1584
Step-by-step explanation:
Distribution of cards in a deck:
Total number of cards = 52
Total number of cards drawn = 5
Sampling without replacement :
Number of Aces = 4
Number of kings = 4
Card different from Aces and kings = total cards - (4 + 4) ;
52 - 8 = 44 cards
(Drawing 2 aces from 4) * (2 kings from 4) * 1 other card of different denomination)
Using combination :
4C2 * 4C2 * 44C1
Using calculator :
6 * 6 * 44
= 1584
Given the following sets, find the set .
U{1, 2, 3, . . ., 7}
A{1, 3, 4, 5}
B{2, 3, 5}
C{1, 2, 3, 4, 6}
A grocery store sells a bag of 4 oranges for $1.56. How much does one orange cost?
Answer:
.39 cents
Step-by-step explanation:
1.56 divided by 4 is .39
Answer:
36 cents
Step-by-step explanation:
if you multiply 36 by 4 you'll get 1.56
An employee works 22 days per month. If they work an average of 844 hours per day, how
many hours do they work per month?
Answer:
the answer is 181 2/4 OR 181 1/2 hours a month.
Step-by-step explanation:
Pretty simple hoped I helped sir or madame
I need Help answering this Before 2pm today
mattew drives at an average speed of 62 mph for 5 hours. b
how many miles does mattew drive
Answer:
He drove 310 miles per hour
Step-by-step explanation:
So this means that in one hour he drives 62 miles
to find how much in five hours multiply 5 by 62
5x62=310miles
Answer:
310 miles
Step-by-step explanation:
62times 5 =310
On a coordinate plane, point M is located at (-5, 1) and point N is located at (-5,8).
What is the distance, in units, between point M and point N? Enter the answer in the box.
What is 75% of 780?
75% of 780 is
Answer:
If you are using a calculator, simply enter 75÷100×780 which will give you 585 as the answer.
A water tank already contains 55 gallons of water when Baxter begins to fill it. There is a crack in the tank and water begins to leak at a rate of 8 gallons per minute. Find the amount of water in the tank 6 minutes after Baxter begins filling the tank.
Answer:
Step-by-step explanation:
Therefore, the volume of the water in the tank 25 minutes after Baxter begins filling the tank is 255 gallons.
Step-by-step explanation:
Linear Equation; Ax+By=C
A linear equation to model this situation:
8x + 55 = C
Where;
8 is for the rate of gallons.
'X' is the minutes.
55 is the gallons of water the tank already contained.
8(25) + 55 = 255
Where;
8 is for the rate of gallons.
25 is the minutes.
55 is the gallons of water the tank already contained.
What is the answer and steps to the following equation: 6(4-z)=2z
Answer:
3
Step-by-step explanation:
Answer:
z=3
Step-by-step explanation:
6(4-z)=2z
24-6z=2z
8z=24
8z/8=24/8
z=3
Helppppppppppppp meeeeee
Answer:
9
Step-by-step explanation:
because 9 in a third is 3
3 + 12 is 15
9x2 is 18
and 15 is 3 less than 18