Answer:
Hence 262 adults and 88chidren are in the audience
Step-by-step explanation:
Let the number adults be x
Let the number of children be y
If there are 350seats in the theatre then;
x+y =350 .... 1
Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;
10.50x + 7.50 y = 3411..... 2
Solve simultaneously
From 1, x = 350-y
Substitute into 2:
10.50(350-y) +7.50y = 3411
3675-10.5y+7.50y = 3412
3675-3y = 3411
-3y = 3411-3675
-3y = -264
y = 264/3
y = 88
From 3: x = 350-y
x = 350-88
x = 262
Hence 262 adults and 88chidren are in the audience
Line M passes through the points (-5, 8) and (-1, 9) what is true of line M
Answer:
The equation of the line is:
[tex]y=\frac{1}{4}x+\frac{37}{4}[/tex]Step-by-step explanation:
Given the points
(-5, 8)(-1, 9)Finding the slope between the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-5,\:8\right),\:\left(x_2,\:y_2\right)=\left(-1,\:9\right)[/tex]
[tex]m=\frac{9-8}{-1-\left(-5\right)}[/tex]
[tex]m=\frac{1}{4}[/tex]
Using the point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = 1/4 and the point (-5, 8)
[tex]y-8=\frac{1}{4}\left(x-\left(-5\right)\right)[/tex]
[tex]y-8=\frac{1}{4}\left(x+5\right)[/tex]
Add 8 to both sides
[tex]y-8+8=\frac{1}{4}\left(x+5\right)+8[/tex]
[tex]y=\frac{1}{4}x+\frac{37}{4}[/tex]
Thus, the equation of the line is:
[tex]y=\frac{1}{4}x+\frac{37}{4}[/tex]P partitions GR in ratio 2:4. GR is 36cm. How long is GP and PR?
Answer:
12 cm and 24 cm
Step-by-step explanation:
The line is divided in the ratio 2 : 4 = 2x : 4x ( x is a multiplier )
The sum is therefore
2x + 4x = 36
6x = 36 ( divide both sides by 6 )
x = 6
Thus
GP = 2x = 2 × 6 = 12 cm
PR = 4x = 4 × 6 = 24 cm
MULTIPLE CHOICE: write the equation of a line that is perpendicular to the given line and that passes through the given point.
3x + 9y = 8; (-9, 1)
A.) y = -3x + 28
B.) y = 1/3x + 28
C.) y = 3x + 28
D.) y = 1/3x - 12
Step-by-step explanation:
alright. i calculated each line that is given, and i sadly don't have the time to place them. but, ill still make it easier for u and give the points of each one, and u can place them and see which one is perpendicular and that passes through the given point.
a=(-3,88)
b=(1/3,28)
c=(3,88)
d=(1/3,-12)
i apologize for not having an obvious answer, but hope this helps!
In the diagram below, OPis circumscribed about quadrilateral ABCD. VWhat is
the value of x?
A
O A. 55
OB. 105
OC. 100
OD. 60
115
x+10|
Answer:
Value of X = 100°
Step-by-step explanation:
Given:
∠ A = 70°
∠ D = 115°
∠ C = X + 10°
Find:
Value of X
Computation:
In cyclic quadrilateral ∠ A + ∠ C = 180°
So,
70° + X + 10° = 180°
X = 100°
Value of X = 100°
Answer:
A and D
Step-by-step explanation:
Delta mathhhh needed!!!!!
Which of the best following statements BEST described the location of -(-6) on a number line?
A. It is 6 units to the left of 0
B. It is 6 units to the right 6
C. It is 6 units to the right of the 0
D. It is 6 units to the left of 6
Answer:
A
Step-by-step explanation:
because it is a
PLEASE PLEASE HELP ME
Which of the following angles is coterminal with -610?
1. 110
2. 70
3. 250
4. 20
Answer:
number 1 anwser 110
Step-by-step explanation:
The diagram shows two Parallel lines cut by a transversal. PLEASE HELP!
Answer:
you are right it is option a
Step-by-step explanation:
cause
Larry is thinking of a number that is between 0 and 300. What is the correct model for this situation?
Answer:
none are correct
Step-by-step explanation:
Need help!!!! With # 7
Answer:
Step-by-step explanation:
(-∞ , 8]
and
[0 , 8]
im 99% sure this is correct
hope this helps <3
What is the approximate volume of the sphere? Use 3.14 to approximate pi and round the answer to the nearest hundredth if necessary.
The
property of addition states that any number plus zero equals the other
number.
identity
commutative
Inverse
associative
Answer:
identity 4
Step-by-step explanation:
The store buys shoes at a wholesale price of $50, and their markup is 42%. What is the retail price?
i think it might be 2100
What’s the missing length????? Please
Answer:
The missing length is 11
Step-by-step explanation:
What is 17= x/9 + 3 ?
Step-by-step explanation:
17 = x/9 + 3
x/9 = 14
x = 126.
Solve for X
9(x+1)=25+x
Answer:
x=2
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
9x+9=25+x
-9 -9
9x=16+x
-x -x
8x=16
8x/8 16/8
x=2
If 20 assemblers can complete a certain job in 6 hours, how long will the same job take if the number of assemblers is cut back to 12?
Given,
Total number of assemblers = 20
They work a job in 6 hours.
To find,
Time to complete the work if the number of assemblers is cut back to 12.
Solution,
Initially,
20 assemblers = 6 hours
1 hour = [tex]\dfrac{20}{6}[/tex] assemblers
If assemblers are 12 then,
[tex]t=\dfrac{20}{6}\times 12\\\\=40[/tex]
Hence, 40 hours will be required if the number of assemblers is cut back to 12.
The hose on a power washer is 42-ft. long. If the compressor to which the house is attached is located at the corner of a 28-ft wide house, how can the hose reach up the far corner without moving the compressor?
a. What is the exact height that the hose can reach up?
b. What is the approximate height that the hose can reach up?
9514 1404 393
Answer:
a) 14√5 feet
b) about 31.3 feet
Step-by-step explanation:
a) The 42-ft hose is the hypotenuse of a right triangle with one leg 28 ft. We are asked to find the other leg. The Pythagorean theorem is useful.
h² +(28 ft)² = (42 ft)²
h² = (1764 -784) ft² = 980 ft²
h = √(196·5) ft
h = 14√5 ft
__
b) The approximate height is ...
14√5 ≈ 31.305, about 31.3 feet
Select the correct answer.
A drugstore sells vitamins in bottles with different pill counts. The price of each bottle is shown in the table below.
Price
Number of
Pills
50
100
150
$1.85
$3.70
$5.55
$7.40
$9.25
200
250
About how much does one vitamin cost?
$1.85
$0.37
$0.92
$0.04
$0.02
Answer:
Step-by-step explanation:
The approximate cost of one vitamin is $0.04 thus option (A) is correct.
What are the ratio and proportion?The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As per the given number of pills and cost.
The cost per pill from the first raw = $2.05/50 = $0.041
The cost per pill from the second raw = $4.10/100 = $0.041
The cost per pill remains constant in all so this is a direct proportion.
Hence "The approximate cost of one vitamin is $0.04".
For more information about ratios and proportions,
brainly.com/question/26974513
#SPJ2
The complete structured question is below,
A person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen he sells it at Rs 80 a pair find the gain percent pls do it step by step
Answer:
33.3%
Step-by-step explanation:
To get the gain percent, first we need to calculate the unit selling price and cost of each cosmetics.
If a person bought some cosmetics from wholesale market at the rate of Rs 360 per dozen., then one cosmetic will cost 360/12 = Rs. 30
Also if he sells it at Rs 80 a pair, then he sold one cosmetic at 80/2 = Rs. 40
Selling price = Rs. 40
Cost price = Rs. 30
% gain = SP-CP/CP * 100%
% gain = 40-30/30 * 100
% gain = 10/30 * 100
% gain = 100/3
% gain = 33.3%
Hence the percentage gain is 33.3%
Answer:
its ok! I accept apologies
Step-by-step explanation:
A flooring company needs to tile a section of a kitchen that is in the shape of a triangle.
they know that the area is 21 ft squared and the base is 6 ft how can they determine the
height of the triangle?
The formula for the area of the triangle: A = Area B= Base H=Height
Answer: It is possible to determine the height of the triangle by using the formula of the area of a triangle and creating an equation to find the missing value (height). Also, the value of the height is 7ft
Explanation:
The area of a triangle is found by using both the height and the base of a triangle. Indeed, the general formula for this is A( area) = h (height) x b (base) ÷ 2. Now, this general formula can be used to find any of the values missing if two values are known. This means the height can be calculated using the area and the base. To do this, create a simple equation and solve it. The process is shown below:
1. Write the general equation
[tex]A = \frac{h b}{2}[/tex]
2. Replace the letters with the values you have
[tex]21 =\frac{6b}{2}[/tex]
3. Find the missing value by moving the values to the other side of the equal symbol (=) and changing its symbol
21 x 2 = 6b -For example 2 divided 6b but if it is changed to the other side it needs to multiply
42 = 6 b
42 / 6 = b
b = 7
This means the value of the height is 7 ft. If you want to double-check this, use the original formula:
A = 6 ft x 7 ft / 2
A= 42 [tex]ft^{2}[/tex] / 2
A= 21 [tex]ft^{2}[/tex]
A consumer group wants to know if an automobile insurance company with thousands of customers has an average insurance payout for all their customers that is greater than $500 per insurance claim. They know that most customers have zero payouts and a few have substantial payouts. The consumer group collects a random sample of 18 customers and computes a mean payout per claim of $579.80 with a standard deviation of $751.30. Is it appropriate for the consumer group to perform a hypothesis test for the mean payout of all customers
It isn't appropriate for the consumer group to perform a hypothesis test for the mean payout of all customers.
The major reason is because the sample is short and it is given that most consumer has zero payouts.
What do we know?Most customers have zero payouts and a few have substantial payoutsSample size = 18Sample mean = $579.80Sample variance = $751.30How to know if it is appropriate to perform hypothesis testing?The size of the sample taken is not enough large. When sample isn't large enough, it represents skewed information of the population.
The population itself contains many customers who have zero payouts, thus the population isn't normally distributed for insurance claim.
Because of these reasons, the sample mean won't help in deducing conclusions about population mean.
Thus, it is inappropriate for the consumer group to perform a hypothesis test for the mean payout of all customers.
Learn more about population mean estimation here:
https://brainly.com/question/20747890
It is not appropriate to perform a hypothesis test for the mean payout of all customers, mostly because the sample is really small.
What do we know?Most customers have zero payouts and a few have substantial payouts Sample size = 18 Sample mean = $579.80 Sample variance = $751.30What does this imply?
The first thing you can see is the sample size, it seems to be really small for a company with thousands of customers, is really probably that just 18 of them do not represent accurately the whole population.
We also do know that a large proportion of the population has zero payouts, so the population is skewed.
Just because of these two motives, the mean of the sample most likely does not accurately portray the whole population, thus is not appropriate for the consumer group to perform a hypothesis test for the mean payout of all customers.
If you want to know more about samples and populations, you can read:
https://brainly.com/question/13880665
Determine whether the relation is a function. х 0 1 2 3 у -4 -2 0 2 Function O Not a Function
Answer:
This is a function since the x values aren't repeating more than once
Hope this helped! :D
Answer:
it is a function as the relation is one-to-one function
An economy package of cups has 210 green cups. If the green cups are 10% of the total package, how many cups are in the package?
Michael is cutting a 100-yard ribbon into pieces 3.4 yards long. He says that an inequality that represents his project is 3.4x 100. Explain what this statement means, in words, and what each part of the inequality represents
Answer:
[tex]3.4x\le 100[/tex]
Step-by-step explanation:
Given that,
Michael is cutting a 100-yard ribbon into pieces 3.4 yards long.
Michael says that an inequality that represents his project is 3.4x 100.
Let Michael cuts the ribbon in x no of variables. It is given as :
3.4x is the total length of all the pieces together
i.e.
3.4x is less than or equal to 100.
The required equation that represents the given scanario is :
[tex]3.4x\le 100[/tex]
Answer:
Step-by-step explanation:
Sample Response: The variable, x, is the number of pieces of ribbon Michael cuts. Since each piece is 3.4 yards long, 3.4x is the total length of all the pieces together. This total length cannot be more than the 100 yards of ribbon he has, so 3.4x must be less than or equal to 100.
Which graph shows a dilation?
Hurry only 30mins left
Answer:
A
Step-by-step explanation:
A dilation is a dilation if a shape gets smaller or bigger while remaining similar
B, C, D gets smaller but does not remain similar while A also gets smaller but it remains similar
-will give Brainlest-
Express as a logarithm the solution to
4(10)^t/5=25
A)
t = 10
B) t = 2/5
C) t=5 log 25/4
D) t= 1/5 log 25/4
ASAP please
If y is directly proportional with x and
y = 3.6 when x = 30, what is the
value of y when x = 40?
Answer:
y=k*x
plug in the known values of x and y and use them to solve for k
then you can use the new value of k to solve for y when x=40
Step-by-step explanation:
cuz cuz you need it to be directly that's what you need to
Help I’ll give brainlest. Idk the answer bruh pls :/m
Answer:
Since the exponent of the scientific notation is positive, move the decimal point 5 places to the right. 290000
Step-by-step explanation:
Answer:
Answer is D(290,000)
Step-by-step explanation:
Which graph shows the points (−112, 12) and (1.5, −0.5) plotted correctly? On a coordinate plane, a point is 0.5 units to the right and 1.5 units up. Another point is 0.5 units to the left and 1.5 units down. On a coordinate plane, a point is 1.5 units to the left and 0.5 units up. Another point is 1.5 units to the right and 0.5 units down. On a coordinate plane, a point is 0.5 units to the left and 1.5 units up. Another point is 0.5 units to the right and 1.5 units down. On a coordinate plane, a point is 1.5 units to the left and 0.5 units down. Another point is 1.5 units to the right and 0.5 units up.
Answer:
Graph 'B' represents the correct graph.
The correct graph is attached below.
Step-by-step explanation:
Let 'A' be the point:
[tex]A\left(-1\frac{1}{2},\:\frac{1}{2}\right)[/tex]Let 'B' be the point:
[tex]B\:\left(1.5,\:-0.5\right)[/tex]As point A(-1 1/2, 1/2) can be written as:
[tex]A=\left(-\frac{3}{2},\:\frac{1}{2}\right)=\left(-1.5,\:0.5\right)[/tex]
so plotting the point [tex]A=\left(-1.5,\:0.5\right)\:\:\:\:[/tex] and [tex]B\:\left(1.5,\:-0.5\right)[/tex] on a [tex]B\:\left(1.5,\:-0.5\right)[/tex].
As we know that the 2nd quadrant, in the upper left-hand corner, consists of negative values of x and positive values of y.Thus, the point A(-1.5, 0.5) will be plotted in the 2nd quadrant at x = -1.5 and y=0.5
i.e. at x= -1.5, y = 0.5
As we know that the 4th quadrant, the lower left-hand corner, consists of positive values of x and negative values of y.Point B(1.5, -0.5) will be plotted in the 4th quadrant at x = 1.5 and y = -0.5
i.e. at x= 1.5, y = -0.5
Thus, graph 'B' represents the correct graph.
The correct graph is attached below.
Answer:
B
Step-by-step explanation:
Trust me on this, also can I have brainiest please?
Hope you do well! :D