Answer:
114 boys
Step-by-step explanation:
This question can be solved using a rule of three.
For each 2 boys, there are 3 girls on the center. So, how many boys will be there when there are 171 girls?
2 boys - 3 girls
x boys - 171 girls
[tex]3x = 2*171[/tex]
Simplifying both sides by 3
[tex]x = 2*57 = 114[/tex]
There are 114 boys there
Which statement describes why AABC and ADEF are congruent by SAS?
Answer:It is The first one.
Step-by-step explanation:
I estimated that the repairs to my car would cost $80. In fact, they cost $120. What was the percentage error?
Answer:
69%
Step-by-step explanation:
Im just doing this to get my points up. dont get mad
What is 2+2 I’m during to know...
Answer: 4
Step-by-step explanation: Good luck! :D
Answer:
4
Step-by-step explanation:
HELLP MEEEE PLEAAASSSEE
You decide to get an estimate on the cost of repairs for the green food truck
The mechanic explains that the cost of the repairs comes out to be about
$9,500. This price includes the cost of labor and the cost of the parts needed
to do the repairs. If labor costs are 3/5 the cost of the parts, how much
would you save by doing the repairs yourself and just purchasing the parts?
Answer:
$3562.50
Step-by-step explanation:
If the cost ratio is ...
labor : parts = 3/5 : 1 = 3 : 5
then the ratio of labor to the whole cost is ...
labor : total = 3 : (3+5) = 3 : 8
The amount saved by not paying for labor is ...
(3/8) × $9500 = $3562.50 . . . labor charge
You randomly draw one card from a standard deck of 52 playing cards. What are the odds that it is a diamond?
THIS IS MY 6TH TIME POSTING THIS HELP
A scale drawing of a rectangular basketball court measures 7 inches long and 4 inches wide. If the scale used for the drawing is 2.5 inches equals 5 yards, what is the actual length of the park?
Answer:
14 yards
Step-by-step explanation:
length of basketball court=
7 inches
(times by 2.8) 2.5 inches-5 yards( times by 2.8)
7 inches=14
i hope i helped:)
The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 other employees of Company B. The eight people line up in a random order to take a photo. Every way of lining up the people is equally likely.
(a) What is the probability that the general manager is next to the vice president?
(b) What is the probability that the marketing director is in the leftmost position?
(c) Determine whether the two events are independent. Prove your answer by showing that one of the conditions for independence is either true or false.
Solution :
Let the three places be 1, 2, 3, 4, 5, 6, 7, 8
a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2
= 14
[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]
Therefore the required probability is
[tex]$=\frac{14}{8!}$[/tex]
= [tex]$\frac{14}{40320} = 0.000347$[/tex]
b). The probability that the marketing director to be placed in the leftmost position is
[tex]$=\frac{7!}{8!}$[/tex]
[tex]$=\frac{1}{8} = 0.125$[/tex]
c). The two events are not independent because
[tex]$P(A \cap B) \neq P(A) \times P(B)$[/tex]
[tex]$\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$[/tex]
where A is the case a and B is the case b.
(a) The possibility of the general manager is next to the vice president is [tex]\frac{1}{4}[/tex].
(b) The possibility of the marketing director is in the leftmost position is [tex]\frac{1}{8}[/tex].
(c) So, the two events are dependent on each other.
Probability:
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it. The probability of all the events in a sample space adds up to 1.
Total people in company A and company B is [tex]=8[/tex]
Overall ways in which these [tex]8[/tex] people can be lined up[tex]=8![/tex]
[tex]=40320[/tex]
(a) The probability that the general manager is next to the vice president is[tex]=P(A)[/tex]
Now, we can combine the general manager and vice president as one, then the total people in both the company will become [tex]7[/tex].
by arranging these [tex]7[/tex] people in one line [tex]=7![/tex]
[tex]=5040[/tex]
Again, combine the general manager and vice president in one line[tex]=2![/tex]
[tex]=2[/tex]
Therefore, [tex]P(A)=\frac{5040\times 2}{40320}[/tex]
[tex]=\frac{10080}{40320}[/tex]
[tex]P(A)=\frac{1}{4}[/tex]
(b) The probability that the marketing director is in the leftmost position is[tex]=P(B)[/tex]
Now, fixing the position of marketing director in the leftmost.
arranging the [tex]7[/tex] other people in [tex]7![/tex] ways [tex]=5040[/tex]
Therefore,[tex]P(B)=\frac{5040}{40320}[/tex]
[tex]=\frac{1}{8}[/tex]
[tex]P(B)=\frac{1}{8}[/tex]
(c) Assuming event B already occurred which means that the position of marketing director is already fixed in the leftmost position.
Now, trying to find out the probability of the general manager next to the vice president is event A. it comes different because we are not allowed to arrange rest [tex]7[/tex] people, we have to fix the position of one person that causes the repetition of probability.
So, the two events are dependent on each other.
Learn more about the topic of Probability: https://brainly.com/question/26959834
If 0 = 35, then solve for X.
Х
9
Round to the nearest hundredth.
Answer:
x = 15.69
Step-by-step explanation:
Reference angle = 35°
Opposite side to reference angle = 9
hypotenuse = x
Find x using trigonometric ratio.
Thus,
Sin 35 = 9/x
Multiply both sides by x
x*sin 35 = 9
Divide both sides by sin 35
x = 9/sin 35
x = 15.69 (nearest hundredth)
unit rate for $112 in 8 hours
Answer:
$14 per hour could i get brainliest please?
Step-by-step explanation:
Answer:
$14 per hour
Step-by-step explanation:
112 divided by 8 is 14. So $14 per hour
Choose the equation that represents the graph below:
A) Y= -2x-6
B) Y= 2/3x+6
C) Y= -2/3x+6
D) Y= 2x+6
Answer: C
Step-by-step explanation:
The slope is
[tex]\frac{2-6}{6-0}=-\frac{2}{3}[/tex]
This eliminates all the options except for C.
if you roll a pair of dice, what is the probability that both are 3's or that the sum is more than 8
Answer:
11/36
Step-by-step explanation:
We have 36 possible outcomes when rolling a pair of dice.
Only 1 outcome gets both 3's. (3 3)
For the sum to be greater than 8, there are 10 outcomes.
(3 6) (4 5) (4 6) (5 4) (5 5) (5 6) (6 3) (6 4) (6 5) (6 6)
The probability is therefore (1+10)/36=11/36.
Jayda has a vegetable garden. 2/3 of the garden is made up of tomato plants. 4/5 of the tomato plants are beefsteak tomatoes. What portion of the garden is made up of beef steak tomatoes?
Answer:
8/15 of Jayda's vegetable garden are beefsteak tomatoes.
Step-by-step explanation:
Since Jayda has a vegetable garden, of which 2/3 are tomato plants, and of these tomato plants 4/5 are beefsteak tomatoes, to determine the portion of the garden that is made up of beefsteak tomatoes the following must be done mathematical reasoning:
The common least multiple of 3 and 5 is 15, so 2/3 can be re-categorized as 10/15. In turn, of those 10, 4/5 are beefsteak tomatoes, which can be re-categorized as 8/10.
Therefore, 8/15 of Jayda's vegetable garden are beefsteak tomatoes.
Tires regularly priced at $44 each are on sale for $37. How much would a truck owner save by buying four tires at the sale price?
A. $7
B. $28
C. $49
D. $81
Answer:
B
Step-by-step explanation:
the truck owner saves 7$ from every tires by buying at the selling price.
Find the domain and range of: {(-2,0), (-1,1), (0,2),(1,3)}
Answer: domain: {-2, -1, 0, 1}
range: {0, 1, 2, 3}
Which of the following is in reduced form?
pplllllllllllllllsss help 1)
Is (2, 7) a solution to this system of equations?
x + y = 9
3x + 13y - 9
Answer:
No
Step-by-step explanation:
Assuming that you put the wrong sign for the second equation if you plug (2,7) into the two equations it only works for one equation.
Where do the lines y = 3x + 5 and y = -2x + 10 intersect?
9514 1404 393
Answer:
(x, y) = (1, 8)
Step-by-step explanation:
A graphing calculator quickly tells you the point of intersection.
__
You can equate the y-values and solve for x.
3x +5 = -2x +10
5x = 5 . . . . . . . . . add 2x-5
x = 1 . . . . . . . divide by 5
3·1 +5 = y = 8 . . . . substitute for x in the first equation
The point of intersection is (x, y) = (1, 8).
I will give brainiest to whoever answers correctly !!
Answer:
A = $2937.5
Step-by-step explanation:
Given the following data;
Total gifts and scholarships = $900 + $250 + $300 + $1400 = $2850
Therefore, Principal = $2850
Time in years = 36 months/ 12 months = 3 years
Interest = 1% = 1/100 = 0.01
n = 360
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value. P is the principal or starting amount. r is annual interest rate. n is the number of times the interest is compounded in a year. t is the number of years for the compound interest.Substituting into the equation, we have;
[tex] A = 2850(1 + \frac{0.01}{360})^{360*3}[/tex]
[tex] A = 2850(1 + 0.000028)^{1080}[/tex]
[tex] A = 2850(1.000028)^{1080}[/tex]
[tex] A = 2850(1.0307)[/tex]
A = $2937.5
Therefore, the graduate will have $2937.5 when he cashes in the CD.
Which of the following is equivalent to (16^3/2)^1/2
1.6
2.8
3.12
14.64
Answer:
8
Step-by-step explanation:
Hope this is helpful!
5y - 4x = -7
2y + 4x = 14
Solve the system of equation
Answer:
( 4 , 1 )
Step-by-step explanation:
when canceling out the y values and then adding the two functions together you get
7y = 7
dividing by seven you get y = 1
when plugging y = 1 into the first quation you get
5 - 4x = -7
subtract 5 from both sides
-4x = -12
divide both sides by negetive four
x = 3
then with plugging in y = 1 for the second equation you get
2 + 4x = 14
subtract 2 from both sides
4x = 12
divide both sides by 4
x = 3
you then check your answers and get the point of (4, 1) for your answer.
I need help quick please!!!!
Answer:
1 is false
2 is blueprints
Step-by-step explanation:
PRE CALC HELP!!! 100 PTS AND BRAINLIEST
(the one I chose isn't correct I just accidentally pressed it)
Hello!
[tex]\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}[/tex]
To begin, we can solve the inequality:
sin(x) > cos(x)
Divide both sides by cos(x):
sin(x) / cos(x) > 1
tan(x) > 1
x > π/4
However, we can also solve it the other way to produce the end to the interval:
sin(x) > cos(x)
1 > cot(x)
x < 5π/4
Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.
Answer:
π/4 < x < 5π/4.
A scuba diver dove from the surface of the ocean to an elevation of -499 feet at a rate of –10.5 feet per
10
9
minute. After spending 13 minutes at that elevation, the diver ascended to an elevation of -28 feet.
10
1
The total time for the dive so far was 20 minutes. What was the rate of change in the diver's elevation
8
during the ascent? Round your answer to the nearest hundredth.
Cuanto 5 entre 6'658
You start a bank account with $50. Each week after that, you deposit $12. How many weeks will it take to have
$230 in the account?
A. 15
B. 8
C. 24.3
D. 10
Answer:
15 (A)
A is the legit answer.
Please help at least one Number it please!!!!
In December, a toy store sold 934934 puzzles. Each puzzle cost \$6$6, including tax. What was the total cost of the puzzles sold, including tax?
Answer:
5609604 OR 11219200
Step-by-step explanation:
i dont know if its 6 plus 6 dollars like 12 or just 6 so yeah
Help plz:)))I’ll mark u Brainliest
Answer:
ST = 8 m
Step-by-step explanation:
Since ∆PQR is congruent to ∆STU, therefore, the three sides of ∆PQR would be congruent or equal to the corresponding three sides of ∆STU.
PQ corresponds to ST.
Therefore, PQ is congruent to corresponding side ST, which is 8 m
ST = 8 m