Please help! really stuck on this question!
Cameron sponsored a fundraiser that 582 people attended. He raised 6,480. He charged $15 for balcony seats and $10 for ground seats. How many people bought balcony seats (b) and how many bought ground seats (g)?
15b + 10g = 6,480
b + g = 582
Answer:
132 people bought balcony seats and 450 people bought ground seats.
Step-by-step explanation:
We want to solve the system of equations:
[tex]\left\{ \begin{array}{ll} 15b+10g=6480 \\ b+g=582 \end{array} \right[/tex]
We can solve this by using substitution. From the second equation, we can subtract b from both sides:
[tex]g=582-b[/tex]
In the first equation, we can divide both sides by five:
[tex]3b+2g=1296[/tex]
Substitute:
[tex]3b+2(582-b)=1296[/tex]
Distribute:
[tex]3b+1164-2b=1296[/tex]
Simplify:
[tex]b+1164=1296[/tex]
Solve for b:
[tex]b=132[/tex]
Using the modified equation again, substitute:
[tex]g=582-(132)[/tex]
Evaluate:
[tex]g=450[/tex]
Therefore, 132 people bought balcony seats and 450 people bought ground seats.
Marking branliest!
What is the mean absolute deviation of the data in Table 3 (Number of Siblings)?
Answer:
To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value –
The mean absolute deviation of the number of siblings in the data given is: 1.33.
How to Find the Mean Absolute Deviation of a Data?Find the mean, the calculate the average of the difference of each data point and the mean.
Given the data:
0, 2, 4, 1, 3, 5, 0, 1, 1, 0, 3, 2, 4, 0, 1, 3, 2, 1, 6, 2, 1, 0, 1, 3
Mean = (0 + 2 + 4 + 1 + 3 + 5 + 0 + 1 + 1 + 0 + 3 + 2 + 4 + 0 + 1 + 3 + 2 + 1 + 6 + 2 + 1 + 0 + 1 + 3)/24 = 46/24
Mean = 1.9167
Mean absolute deviation = [(0 - 1.9167) + ( 2 - 1.9167) + ( 4 - 1.9167) + ( 1 - 1.9167) + ( 3 - 1.9167) + ( 5 - 1.9167) + ( 0 - 1.9167) + ( 1 - 1.9167) + ( 1 - 1.9167) + ( 0 - 1.9167) + ( 3 - 1.9167) + ( 2 - 1.9167) + ( 4 - 1.9167) + ( 0 - 1.9167) + ( 1 - 1.9167) + ( 3 - 1.9167) + ( 2 - 1.9167) + ( 1 - 1.9167) + ( 6 - 1.9167) + ( 2 - 1.9167) + ( 1 - 1.9167) + ( 0 - 1.9167) + ( 1 - 1.9167) + ( 3 - 1.9167)]/24
Mean absolute deviation = 32/24
Mean absolute deviation = 1.33
Learn more about the mean absolute deviation on:
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What pair of angles must have the same measure?I'll give brainliest if its correct.
Answer:
[tex]\text{(C) }\angle 2\text{ and }\angle 7[/tex]
Step-by-step explanation:
Angle 2 corresponds with angle 6 and since all corresponding angles are equal, [tex]\angle 2=\angle 6[/tex]. Angle 6 and angle 7 happen to be vertical angles (opposite side of an intersection of two lines). Since all vertical angles are also equal, [tex]\angle 6=\angle 7[/tex] and by substitution, we have: [tex]\implies \boxed{\text{(C) }\angle 2\text{ and }\angle 7}[/tex]
Given JKMN is a square and NM= 4x and KM = 6x - 16, find all missing angle measures and side lengths.
Answer:
The side lengths are 32 units each
Step-by-step explanation:
Given
[tex]NM= 4x[/tex]
[tex]KM = 6x - 16[/tex]
Required
The side lengths and missing angles
Since JKMN is as square, then:
[tex]NM = KM[/tex] -- all sides are equal
[tex]4x = 6x - 16[/tex]
Collect like terms
[tex]4x - 6x = - 16[/tex]
[tex]-2 x = - 16[/tex]
Divide by -2
[tex]x = 8[/tex]
Substitute [tex]x = 8[/tex] in [tex]NM= 4x[/tex]
[tex]NM = 4 * 8[/tex]
[tex]NM = 32[/tex]
The missing angles can't be solved without an attachment.
However, if the missing angles are the angles at the edges of the square, then they measure 90 degrees each (i.e. angles at right angle)
Please help me
I just need to find the measure of every angle
Answer: 108 use a ruler
Step-by-step explanation:
8x+20y=-120 as slope
Answer:
y = -2/5x -6
slope is -2/5
y intercept -6
Step-by-step explanation:
8x+20y=-120
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
Subtract 8x from each side
8x -8x+20y= -8x-120
20y = -8x - 120
Divide by 20
20y/20 = -8x/20 -120/20
y = -2/5x -6
help please this should be turn in 5mijs please
Which variable in the following equation represents the slope of the line? y=mx+b
Describe the behavior of the function h around its vertical asymptote at x=-6.
Answer:
B
Step-by-step explanation:
One good way to look at this is to graph both polynomials, as shown in the picture. A tip to help graph is to factor it out and work from there. For example, in x²+14x+48, we can gather that (x+6)(x+8) is the same thing, and it is easier to then graph it. Similarly, for x²+12x+36, we can factor it out as (x+6)² .
When x²+12x+36 approaches 6, it is getting really close to 0, but it stays positive. When x²+14x+48 approaches 6 from the negative side, it is also getting close to 0, but it's negative. When x²+14x+48 approaches 6 from the positive side, it is positive.
Therefore, on the negative side, there is one positive and one negative (dividing a negative by a positive is negative, and a positive by a negative is also negative) , and on the positive side, there are two positives, forming one answer.The answer is therefore B
3 (4y + 1 ) -20 help
Answer:
-5
Step-by-step explanation:
3x4=12
3x1=3
12y+3
15-20=
-5
【☆】★【☆】★【☆】★【☆】★【☆】【☆】★【☆】★【☆】★【☆】
My approach to this problem was to simplify the expression.
3( 4y + 1) - 20y
12y + 3 - 20y (expanded the brackets)
-8y + 3 (collected like terms)
The answer is B.
【☆】★【☆】★【☆】★【☆】★【☆】【☆】★【☆】★【☆】★【☆】
Help please !!!!thank yo
Answer:
250
Step-by-step explanation:
There is a 200 start up cost plus 50 per month
Cost = 200 + 50m where m is the number of months
We have 1 month
Cost = 200 +50(1)
Cost = 250
Answer:
250
Hope this helps
A bouncy ball is dropped such that the height of its first bounce is 2.75 feet and each
successive bounce is 69% of the previous bounce's height. Write a recursive formula
to represent the height of the nth bounce of the ball.
The value 2.75 goes in the first box, since it's the first term.
The expression [tex]0.69*a_{n-1}[/tex] goes in the second box. The second line says "to get the nth term, we multiply the previous term by 0.69"
Simplify. Remove all perfect squares from inside the square root.
[tex] \sqrt{30b { }^{5} } [/tex]
Seven pounds of nuts are shared equally among 5 scouts how much does each scoct get
the image in down there attached
Answer:
D
Step-by-step explanation:
For this one, you want to solve it similarly to linear equations.
-13x+11<-24x by adding 24x to both sides becomes 11x<11.
From there, you divide by 11 to isolate x, leaving x<1.
Since the equation has a < symbol (not ≤), the dot is not filled in. X is less than 1, so the arrow goes to the left, making it D.
**This content involves solving and sketching linear inequalities, which you may wish to revise. I'm always happy to help!
The population of fish in a pond is given by the function P(t), where t is the number of months after June. Interpret the statements P(0) = 1,023 and P(2) = 1,612.
A. The population of fish in the pond was reduced by 589 fish and the population of fish in August was 1,612.
B. The population of fish in the pond was reduced by 589 fish and the population of fish in September was 1,612.
C. The population of fish in the pond grew by 589 fish and the population of fish in August was 1,612.
D. The population of fish in the pond grew by 589 fish and the population of fish in September was 1,612.
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Answer this for me I am having probs and I am only 8yrs old don’t judge
5x5=25
5x6=30
4x6=24
6x6=36
Answer:
You are all correct! what do you need help answering?
Please helppp!! I don't know how to do this
Answer:
(-2, -4)
Step-by-step explanation:
Start at point O which has coordinates (0, 0). Go 2 units left. Go 4 units down. Now you are at point I.
Answer: (-2, -4)
2. Write an inequality for each of the
following situations:
The temperature was less than 7° F.
You must be at least 42 inches tall to ride
the rollercoaster.
The repairs to the car will be at least $125.
You need to sell atleast 25 tickets.
You cant be more than 40 pounds to ride the ponies
There were less than 12 people in my class
Answer:
the temperature is 6 degress fair hight you are 42inches while riding the ride
Which is the length of the building's wall brace?
A. 14.45 m
B. 17 m
C. 23 m
D. 49 m
E. 189 m
Answer:
A) 14.45 m is the answerrrerreer
Answer:
17m
Step-by-step explanation:
We can use the Pythagorean theorem
a^2+b^2= c^2 where a and b are the legs and c is the hypotenuse
8^2 + 15^2 = c^2
64+ 225 = c^2
289 = c^2
Taking the square root of each side
sqrt(289) = sqrt(c^2)
17 =c
See image for question.
Please show workings.
Question Continuation :
a. a prime number ?
b. a perfect square ?
c. a perfect cube ?
Answer:
See belowStep-by-step explanation:
We get possible sums from 1 + 1 = 2 to 6 + 6 = 12 when we toss two dices together. Total ways 6*6 = 36
a.
Prime numbers:
2, 3, 5, 7, 11 - total 5 outcomes with 15 ways (1+1, 1+2, 1+4, 1+6,2+1, 2+3, 2+5, 3+2, 3+4, 4+1, 4+3, 5+2, 5+6, 6+1, 6+5)P(prime number) = 15/36b.
Perfect squares:
4, 9 - total 2 outcomes with 3 ways for 4 (1 +3, 2+2, 3+1) and 4 ways for 9 (3+6, 4+5, 5+4,6+3)P(perfect square) = (3 + 4)/36 = 7/36c.
Perfect cube:
8 - one outcome with 5 ways (2+6,3+5,4+4,5+3,6+2)P(perfect cube) = 5/36Let U(-7,5) and V(4, -3). What is the length of UV? Round your answer to the nearest 10th
Answer:
13.60units
Step-by-step explanation:
Given data
U(-7,5) and V(4, -3)
x1=-7
y1=5
x2= 4
y2= -3
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((4-(-7))²+(-3-5)²)
d=√((4+7))²+(-8)²)
d=√(11)²+(-8)²)
d=√121+64
d=√185
d=13.60units
Hence the distance is 13.60units
What is an equation of the line that passes through the point (2;8) and has a slope of 3?A.y= 3x-2
B.y= 3x-22
C.y= 3x+ 2
D.y= 3x+ 22
Answer:
The letter C is the answer.
You invest $10,200 in an account that compounds continuously at an annual percent interest rate of 6.25%. How long does it take to double your money?
Answer:
11.09 years
Step-by-step explanation:
Given data
Principal P= $10200
Rate= 6.25%
Double the principal A = $20,400
The expression for the time taken is
t= ln(A/P)/r
t= ln(20400/10200)/0.0625
t= ln(2)/0.0625
t= 0.69314/0.0625
t= 11.09024 years
Hence the number of years is 11.09 years
What is the decay factor of the exponential function
represented by the table?
Given:
The table of values of an exponential function.
To find:
The decay factor of the exponential function.
Solution:
The general form of an exponential function is:
[tex]y=ab^x[/tex] ...(i)
Where, a is the initial value and [tex]0<b<1[/tex] is the decay factor and [tex]b>1[/tex] is the growth factor.
The exponential function passes through the point (0,6). Substituting [tex]x=0,y=6[/tex] in (i), we get
[tex]6=ab^0[/tex]
[tex]6=a(1)[/tex]
[tex]6=a[/tex]
The exponential function passes through the point (1,2). Substituting [tex]x=1,y=2,a=6[/tex] in (i), we get
[tex]2=6(b)^1[/tex]
[tex]2=6b[/tex]
[tex]\dfrac{2}{6}=b[/tex]
[tex]\dfrac{1}{3}=b[/tex]
Here, [tex]b=\dfrac{1}{3}[/tex] lies between 0 and 1. Therefore, the decay factor of the given exponential function is [tex]\dfrac{1}{3}[/tex].
Hence, the correct option is A.
Answer:
Step-by-step explanation:
2
The following table represents the highest educational attainment of all adult
residents in a certain town. If a resident who is aged 40-49 is chosen at random, what
is the probability that they have completed a master's degree? Round your answer to
the nearest thousandth.
Answer:
≈0.576
Step-by-step explanation:
Age under 40: 871+870=1741
Total with master’s degree: 3023
Probability: 1741/3023
≈0.576
Me need help on this
Answer:
1385 mi to find the area A=21(21)(3.14)
A=441(3.14)
1384.74 round to the nearest 10th is 1385
I could use some help on this, thank you!
Answer:
B
Step-by-step explanation:
[tex]y = 3x - 5 = 37 \\ 3 \times 14 = 42 \\ 42 - 5 = 37[/tex]
Karina and Kayla are playing a game using a dice. They roll the dice twice. If Kayla rolls a sum of 7, she scores a point. If Karina rolls a sum of 5, she scores a point. Is the game fair?
Math help due soon thanks