Answer:
A
Step-by-step explanation:
A banquet hall has just two sizes of tables.
One size seats exactly 5 people, and the other size seats exactly 8 people.
At tonight’s banquet, exactly 79 people will be seated at less than one dozen tables, and there will be no empty places.
How many tables of each size will there be at the banquet?
Answer:
3 8 person tables. 11 5 person tables.
Step-by-step explanation:
D/3.5-13>-17 solve this equation
Answer:
70.5
Step-by-step explanation:
multiply the denominator 3.5 on both sides.
you get 57.5 + 13 = 70.5
the correct increasing order of integers of 18,-20,- 30, 70, 20 is
Answer:
-30, -20, 18, 20 and 70
Step-by-step explanation:
The given numbers:
18, -20, - 30, 70, 20
The more negative an integer is, the smaller it is. Let us rearrange the set of numbers:
-30, -20, 18, 20 and 70
Based on increasing order of integers, the numbers are:
-30, -20, 18, 20 and 70
A box of books has 12 fiction and 14 nonfiction books in it. Determine the odds in favor of you selecting a fiction book from the box.
Answer:
Odds in favor(Fiction book) = 6 / 13
Step-by-step explanation:
Given:
Number of fiction books = 12
Number of non-fiction books = 14
Find:
Odds in favor(Fiction book)
Computation:
Odds in favor(Fiction book) = Number of fiction books / Total books
Odds in favor(Fiction book) = 12 / (12+14)
Odds in favor(Fiction book) = 12 / 26
Odds in favor(Fiction book) = 6 / 13
What set of fractions is ordered from greatest to least? 2/3, 3/8, 5/12
Answer:
2/3, 5/12, 3/8
Step-by-step explanation:
There are 55 black balls and 88 red balls in an urn. If 44 balls are drawn without replacement, what is the probability that no more than 11 black ball is drawn
Answer:
[tex]Probability = \frac{70}{143}[/tex]
Step-by-step explanation:
Given
[tex]Black = 5[/tex]
[tex]Red = 8[/tex]
[tex]Total = 13[/tex]
To solve the required probability, we need to determine the number of available selections:
There are two possible scenarios;
1: All 4 selections are red.
2. 1 selection is black, while 3 others are red
Scenario 1: All Red
[tex]^8C_4 = \frac{8!}{(8-4)!4!}[/tex]
[tex]^8C_4 = \frac{8!}{4!4!}[/tex]
[tex]^8C_4 = \frac{8*7*6*5*4!}{4!4!}[/tex]
[tex]^8C_4 = \frac{8*7*6*5}{4!}[/tex]
[tex]^8C_4 = \frac{8*7*6*5}{4*3*2*1}[/tex]
[tex]^8C_4 = \frac{1680}{24}[/tex]
[tex]^8C_4 = 70[/tex]
Scenario 2: 1 Black, 3 Red
Selecting Black:
[tex]^5C_1 = \frac{5!}{(5-1)!1!}[/tex]
[tex]^5C_1 = \frac{5!}{4!1!}[/tex]
[tex]^5C_1 = \frac{5*4!}{4!*1}[/tex]
[tex]^5C_1 = 5[/tex]
Selecting Red:
[tex]^8C_3 = \frac{8!}{(8-3)!3!}[/tex]
[tex]^8C_3 = \frac{8!}{5!3!}[/tex]
[tex]^8C_3 = \frac{8*7*6*5!}{5!3*2*1}[/tex]
[tex]^8C_3 = \frac{8*7*6}{6}[/tex]
[tex]^8C_3 = 8*7[/tex]
[tex]^8C_3 = 56[/tex]
Number of Selection = 5 * 56
[tex]Selection = 280[/tex]
Total Available Selection is calculated as thus:
[tex]Available\ Selection = 70 + 280[/tex]
[tex]Available\ Selection= 350[/tex]
Next, is to calculate the number of possible selections:
i.e 4 balls out of 13
This is calculated as:
[tex]^{13}C_4 = \frac{13!}{(13-4)!4!}[/tex]
[tex]^{13}C_4 = \frac{13!}{9!4!}[/tex]
[tex]^{13}C_4 = \frac{13 * 12 * 11 * 10 * 9!}{9!4*3*2*1}[/tex]
[tex]^{13}C_4 = \frac{13 * 12 * 11 * 10}{4*3*2*1}[/tex]
[tex]^{13}C_4 = \frac{17160}{24}[/tex]
[tex]^{13}C_4 = 715[/tex]
[tex]Probability = \frac{Available\ Selection}{Possible\ Selection}[/tex]
[tex]Probability = \frac{350}{715}[/tex]
[tex]Probability = \frac{70}{143}[/tex]
What is a troll?
Quick I’m being timed
Answer:
a joke? someone who jokes around?
A box office sells balcony seats, ground-level seats, and VIP passes for shows on tour. The table shows the numbers of each type of ticket sold and the revenues for the first three shows of a tour. What is the price of each type of ticket?
Answer:
The price of one Balcony seat = $50
The price of one Ground level seat = $90
The price of one VIP seat = $180
Step-by-step explanation:
Let the price of one Balcony seat = $[tex]x[/tex]
Let the price of one Ground level seat = $[tex]y[/tex]
Let the price of one VIP seat = $[tex]z[/tex]
As per the given table:
[tex]135x+280y+29z=37170 ....... (1)\\150x+270y+58z=42240 ....... (2)\\130x+265y+29z=35570 ....... (3)[/tex]
Multiplying (1) with 2 and subtracting (2) from it:
[tex]120x+290y=32100 \\12x+29y=3210..... (4)[/tex]
Subtracting (3) from (1):
[tex]5x+15y=1600\\x+3y=320 ....... (5)[/tex]
Multiply equation (5) with 12 and subtracting (4) from it:
[tex]7y=630\\\Rightarrow y =\bold{90}[/tex]
By equation (5), putting value of [tex]y[/tex]:
[tex]x=\bold{50}[/tex]
By equation (1), putting the values of [tex]x, y:[/tex]
[tex]135\times 50+280\times 90+29z=37170\\\Rightarrow 29z=37170-31950\\\Rightarrow 29z=5220\\\Rightarrow z =\bold{180}[/tex]
Therefore, the answers are:
The price of one Balcony seat = $50
The price of one Ground level seat = $90
The price of one VIP seat = $180
Write an equation in slope-intercept form that is parallel to y=2x-5 and
passes through (3,4) *
Step-by-step explanation:
An equation in slope intercept form that is parallel to y=2x-5 is y=2x-2
Please help ASAP will name brainliest
At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults.
A. Write the ratio of the number of boys to the number of girls.
B. Write the same ratio using another form (A: B vs. A to B).
C. Write the ratio of the number of boys to the number of adults.
D. Write the same ratio doing another form. (I’m only 11 so I’m in sixth grade)
a. 132:89
b.132 to 89
c.132:14
b. 132 to 14
What is the value of -x² - 4x - 11 if x = -3
Answer:
-74 your welcome
Step-by-step explanation:
how could you change the expression -8 * -5 * -3 so that product is positive?
Answer:
yes just multiply it once more by -1
Step-by-step explanation:
2. Find the domain and range of the function: *
1 point
f (x)=
3(x + 2)2 +7
212
Domain is all reals, range is y greater than or equal to 7
Domain is all reals, range is y less than or equal to 7
Domain is all reals, range is all reals
Domain is x greater than or equal to 7. range is all reals
Domain is x less than or equal to 7, range is all reals
3.
I think the correct answer would be :
Domain is all Reals , Range is all Reals.
If x2 = 20, what is the value of x?
Answer:
10
Step-by-step explanation:
20/2=10 so x=10
Answer:
10
Step-by-step explanation:
i realy need help it wold be much helpful if u could help me il give u 5 stare and brainlyist <3
Write the converse of the following conditional: If it is raining, then the ground is wet.
If it is not raining, then the ground is not wet.
If it is not raining, then the ground is not wet.
It is raining if and only if the ground is wet.
It is raining if and only if the ground is wet.
If the ground is not wet, then it is not raining.
If the ground is not wet, then it is not raining.
If the ground is wet, then it is raining.
Answer:
it is raining if and only if the ground is wet
Step-by-step explanation:
Answer:
you are correct
Step-by-step explanation:
The cost of a computer declined by
$5.75 per day for 9 days. What was the
total change in price after the 9 days?
Answer:
the answer is 51.75
Step-by-step explanation:
What you do is take 5.75 and multiply it by 9 and that's your answer
(03.02)
If g(x) = x2 + 2, find g(3).
a) 9
b) 8
c) 1
d) 6
what are the x and y intercept for the inequality 2x + 4y < -8
Given: -8(x+1)=-5(x+10) prove x=14
-8(x+1)=-5(x+10)
-8x-8=-5x-50
+50 +50
-8x+42=-5x
+8x +8x
42=3x
/3 /3
14=x
an expression for 4 times the sum of 14 and 26
Answer:
4 (14+26)
Step-by-step explanation:
there is no need to use 4x (14+26)
What is the ratio of 48 to 60
y-3=2(x+1) please please help
Answer:
y=2x+5
Step-by-step explanation:
distribute 2 to x and 1, do this by multiplying each.
you should get y-3=2x+2.
then you have to move the -3 from the left to the right. but when you do this you have to change the -3 to a positive 3. then combine 3 and 2.
you then get the answer, y=2x+5.
Please help. Thank you :)
if i give u the answer will u give me brainleist
Heeeeeeeeeeeeeeeeeeeeelllllllllllllppppppppppp
Answer:
You should add both sides by 1 to isolate the variable first.
To continue solving, divide both sides by -7 and you end up with p = -2.
PLEASE ANSWER ASAP!!! Find the discriminant of the following function. Then identify how many solutions and the type of solutions there will be.
f(x)=3x^2-7x+5
Answer:
No solutionStep-by-step explanation:
Given function
f(x) = 3x^2 - 7x + 5Zeros of the function
3x^2 - 7x + 5 = 0D = √(b^2 - 4ac) = √(49 - 60) = √-11There is no solution as the discriminant is negative
It means the graph of this function doesn't intersect with x axis and is above it
help please :) due today
Answer: True
Step-by-step explanation:
left side 469.875 and that is less then 1253
Answer: True because after you multiply 1,253 * 3/8 its less than 1,253
Step-by-step explanation: Brainliest is appriciated
an = −7.1 − 2.1n Find a27
Answer:
An = -63.8
Step-by-step explanation:
−7.1 − 2.1n
−7.1 − 2.1(27)
-7.1 - 56.7 = -63.8
An = -63.8
The shape of a sample distribution is approximately
Answer:
A theorem that explains the shape of a sampling distribution of sample means. It states that if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.
Step-by-step explanation:
can I have brainliest
