Answer:
11
Step-by-step explanation:
In the relation f(x) = 2x - 15, what is the value of x if f(x) = 39
A. 27
B. 7
C. 12
D. 32
A stadium has 55,000 seats. Seats sell for $42 in Section A, $24 in Section B, and $18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,738,800 from each sold-out event. How many seats does each section hold?
Answer:
Section A = 27,500 seats
Section B = 14,800 seats
Section C = 12,700 seats
Step-by-step explanation:
Section A = $42
Section B = $24
Section C = $18
Revenue = $1,738,800
Total number of seats = 55,000
The number of seats in Section A equals the total number of seats in Sections B and C
A = B + C
A + B + C = 55,000
42A + 24B + 18C = $1,738,800
Substitute A = B + C into the equations
B + C + B + C = 55,000
42(B + C) + 24B + 18C = $1,738,800
2B + 2C = 55,000
42B + 42C + 24B + 18C = 1,738,800
2B + 2C = 55,000
66B + 60C = 1,738,800
Multiply (1) by 30
60B + 60C = 1,650,000. (1)
66B + 60C = 1,738,800. (2)
Subtract (1) from (2)
66B - 60B = 1,738,800 - 1,650,000
6B = 88,800
B = 88,800/6
= 14,800
B = 14,800
Substitute the value of B into
2B + 2C = 55,000
2(14,800) + 2C = 55,000
29,600 + 2C = 55,000
2C = 55,000 - 29,600
2C = 25,400
C = 25,400/2
= 12,700
C = 12,700
Substitute the values of B and 6 into
A + B + C = 55,000
A + 14,800 + 12,700 = 55,000
A + 27,500 = 55,000
A = 55,000 - 27,500
= 27,500
A = 27,500
Section A = 27,500 seats
Section B = 14,800 seats
Section C = 12,700 seats
Answer:
Section A has 27,500 seats
Section B has 14,800 seats
Section C has 12,700 seats
Step-by-step explanation:
To solve this, we will have equations:
let x = seats at section A
y= seats at section B
Z = seats at section C
we will get the following equation:
So from the question, x = y + z ..........(1)
x + y + z = 55,000 .........(2)
42x + 24y + 18z = 1,738,800 .... (3)
input equation (1) into (2)
y + z + y + z = 55,000
2y + 2z = 55,000...... (4)
so for exuation (3), input equation (1) into (3):
42x + 24y + 18z = 1,738,800
42(y + z) + 24y + 18z = 1,738,800
42y + 42z + 24y + 18z = 1,738,800
collect like terms:
66y + 60z = 1,738,800 ..... (5)
multiply equation (4) by -30. -30 is chosen to remove z from the equation so we could get what y is
-60y - 60z = - 1,650,000 ...... (6)
add equation (5) and (6)
6y + 0 = 88,800
y = 14,800 seats
Input the value of y into equation (4) to find z
2y + 2z = 55,000
2(14,800) + 2z = 55,000
29,600 + 2z = 55,000
2z = 25,400
z = 12,700 seats
To find the number of seats in section A we use equation (2)
x + y + z = 55,000
x +14,800 + 12,700 = 55,000
x + 27,500 = 55,000
x = 27,500 seats
To verify our answer to see if the number of seats in Section A equals the total number of seats in Sections B and C.
total number of seats in Sections B and C = 14,800 + 12,700 = 27,500
so number of seats in section A = B + C
After school one night, I had to stop at the local office supply store and pick up a few items. I bought 2 packages of page dividers. They each cost $3.79. I bought one package of Post-It Tabs that cost $6.79. Finally, I bought a large binder for $11.99. Sales tax was 7.5% and I paid with a 50 dollar bill. How much change did I receive?
Answer:
$21.66
Step-by-step explanation:
Add up all of the costs
3.79 + 3.79 + 6.79 + 11.99 = 26.36
Then multiply by the sales tax
26.36 x 7.5% = 1.98
Add the total cost and the tax
26.36 + 1.98 = 28.34
Subtract 28.34 from 50
50 - 28.34 = 21.66
That is how much change you recieve after your purchase.
Riley bought a plant and planted it in a pot near a window in her house. The
initial height of the plant was 6 inches and it grew at a rate of 2 inches per
month. Write an equation for H, in terms of t, representing the height, in
inches, of the plant t months after Riley bought the plant.
Answer:
6+2t=h
Step-by-step explanation:
Answer:
H = 6 + 2t
Step-by-step explanation:
H = your solution
6 = initial height of the plant
+ = the height of the plant grows each month
2 = the rate at which the plants grows per month
t = the number of recorded months the plant will grow for
Hope this Helps! :)
-SGO
Is y=x+3.75 a proportional relationship? Yes or no
Answer:
NO
Step-by-step explanation:
if we plug in 1 = x, we get 4.75 = y. If this is proportional, then y/x will be the same in each scenario.
Let's plug in 2 = x to get y = 5.75. 5.75/2 = 2.875 DOES NOT EQUAL 4.75/1 = 4.75.
That means that the relationship is NOT proportional.
The easier way to tell is to see that there is a number being added, so it can't be a proportional relationship.
Answer:
No
Step-by-step explanation:
because if we put x=1 in equation y=x+3.75y=(1)+3.75y/x=4.75if that is proportional then y/x will be same in each scenarioand if we put x=2 then y=(2)+3.75y=5.27y/x=2.875so it is not equal, it mean that relation is not proportionalClara estimates that the product of 32 and 41 is about 1,200.
what is the answer to (-7)(2)(-2).
Answer:
28
Step-by-step explanation:
-2 × -7 = 14
14 × 2 = 28
thats the correct answer
How to solve Y=10+2(x-4)
y=10+2(x-4)
Use the distributive property to multiply 2 by x-4.y=10+2x-8
Subtract 8 from 10 to get
y=2+2x
Step-by-step explanation:
I think this is right good luck
What is the square root of -36
Answer:6 i
Step-by-step explanation:
hope i help u have a great day
Answer:
i don't think you can square root a negative number
Need help with this. Plz! Thank you
A recipe for orange water says, "Mix 3 teaspoons yellow water with 1 teaspoon red water." For this recipe, we might say: "The ratio of teaspoons of yellow water to teaspoons of red water is 3:1 ." Write a ratio for 2 batches of this recipe and explain how you know it is equivalent to 3:1.
Answer:
The ratio of 2 batches of recipe is 6:2. Which is equivalent to 3:1 because if we multiply the ratio with same number it would give us equivalent ratio.
Step-by-step explanation:
When mix 3 teaspoon of Yellow water with 1 teaspoon of red water, we get ratio as 3:1
If we use 2 batches of recipe, the ratio is multiplied twice.
That's ratio of yellow water to red water is 3*2 :1*2 , which gives 6:2
But, if we simplify the ratio, by dividing both by common factor, we would get 3:1
That's [tex]\frac{6}{2} :\frac{2}{2}[/tex] simplified to 3:1
I need help with this question 7.89 square root X12+65=
Answer:
79x 8.8881941732 approximately 54Thanks for the points A hope it helped alotAnswer:
79×8.88881941732 approximately 54.Tysm for points.~Anna Bella8 less then a number n is -13
Answer:
equation: 8-n=13
answer: n = 21
Step-by-step explanation:
A 6 foot tall man makes a shadow that is 3 1/2 feet long. How tall is a building that makes a 14 7/8 foot shadow?
A) 52.06 feet
B) 8.68 feet
C) 25.5 feet
D) 1.41 feet
Graph the inequality.
[tex]y \leqslant 2[/tex]
16) The chorus needs to raise money to go on their annual trip. It will cost $2,000 to go. So far, they have raised
$800 selling their chocolate candy bars. If they decide to sell sandwiches at lunch for $3 each, how many
sandwiches will they need to sell to raise the remaining funds?
Answer:
400 sandwiches
Step-by-step explanation:
2000 - 800 = $1200 (still need this amount from selling sandwiches)
$1200/$3 per sandwich = 400 sandwiches
answer this qusten and ill mark u brainlyest 6+6 hhehehe
Answer:
6+6= 30 billion
Step-by-step explanation:
Answer:
6 + 6 = 66 or 12
Step-by-step explanation:
I'm not sure
Please help me!!! Thank you so much
Step-by-step explanation:
[tex]\frac{(x + 2)}{4} = - 2 \\[/tex]
multiply everything by 4
[tex]x + 2= - 2 \times 4 \\ x + 2 = - 8[/tex]
subtract 2
[tex]x = - 8 - 2 \\ x = - 10[/tex]
the answer is -10
-5(5-3v)=-115
Helpp me please
we start by opening the brackets so it will be -25 plus 15 v is equals to 115. negative times a negative is a positive so -5 times -3 we we have gotten positive 15v there I hope you understood so our new equation is -25 + 15v is equals to 115 collect the like terms 15v is equals to 115 + 25 15 v is equals to 140 divide both sides by 15 so v is equals to 9 and 1/3
(62-3) X (2 + 8) =
The 2 is little and a little over 6 so it’s not 62 it’s like 6 2
Answer:
330
Step-by-step explanation:
Answer:
330
Step-by-step explanation:
Find the quotient
6 1/2 divided by 3 2/3
Answer:
Step-by-step explanation:
Free points ig
The solution is : the quotient 6 1/2 divided by 3 2/3 is 1 17/22.
Here, we have,
given that,
6 1/2 divided by 3 2/3
Given the following mathematical expression;
6 1/2 / 3 2/3
We would apply the law of indices for fractions.
6 1/2 / 3 2/3
= 13/2 / 11/3
=13*3/ 2*11
=39/22
=1 17/22
Hence, The solution is : the quotient 6 1/2 divided by 3 2/3 is 1 17/22.
To learn more on division click:
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Find the value of y.
Answer:
11
Step-by-step explanation:
we know opposite angles are the same, so
8y-16=72
+16
8y=88
/8
y=11
What is the value of 10 - 2(
4-5)?
Answer:
12
Step-by-step explanation:
you would need to use BODMAS to work this out
as a result you would work out the value in the brackets which would equal to -1 so the question would look like this: 10-2(-1)
next you would do the multiplication due to the fact it comes next in the order
so you would end up with 10+2 which would equal to 12
Hope this helps
Answer:
12
Step-by-step explanation:
First we do 4-5 because of Order of Operations. So we get -1
Then we do multiplication because of Order of Operations and we get -2*-1=2
So now we do 10+2 and we get 12.
You may be asking why I did -2*-1.
It honestly doesn't matter.
Let's say I did 2*-1. We get -2.
Then we do 10-(-2) and If you subtract a negative, it's just adding basically. So we can put it as 10+2 and we get 12.
A bag contains 56 marbles: 7 red, 8 green, 11 yellow, 17 brown, and 13 blue.
If a marble is chosen at random, what is the probability that the marble is green?
А. 1/5
B. 1/6
C. 1/7
D. 1/8
Answer:
D
Step-by-step explanation:
1/8
Answer: D
Step-by-step explanation:
Janice bought 5.5 m of fabric.
About how many yards of fabric did she buy?
(1 m ≈ 1.09 yd)
Enter your answer in the box. Do not round your answer.
2.
Jack and Jill went to Taco Bell. Jack bought three tacos and two burritos
and paid $5.40. Jill bought two tacos and one burrito and paid $3.10.
What is the individual cost of a taco? How much does a burrito cost?
(How do I write my two equations for this?? Pls and thank you!)
answer:
x = 0.80
y = 1.50
step-by-step explanation:
x = cost of tacos
y = cost of burritos
both equations:
3x + 2y = 5.40
2x + 1y = 3.10
^
turn this | into this |
v
y = 3.10 - 2x
then add it to the equation :
3x + 2 [ 3.10 - 2x ] = 5.40
3x + 6.2 - 4x = 5.40
-1x = - 0.8
x= 0.80
then add x = 0.80 to the equations to get :
3 [ 0.80 ] + 2y = 5.40
2.4 + 2y = 5.40
2y = 3
y = 1.5
2. Five pigs were weighed daily to regulate caloric
intake before the stock show. The weight
gain/loss for each pig after one week is shown in
the table below.
Pig
Porky
Gumball
Wilbur
Roscoe
Chance
Weight Changes
Weight Gain/Loss (lbs.)
0.17
-1.48
0.10
-1.409
0.07
Which list shows the values in the table from least
to greatest?
Which equation represents f(x)? f(x) = RootIndex 3 StartRoot x + 6 EndRoot + 1 f(x) = RootIndex 3 StartRoot x minus 6 EndRoot + 1 f(x) = RootIndex 3 StartRoot x + 6 EndRoot minus 1 f(x) = RootIndex 3 StartRoot x minus 6 EndRoot minus 1
Answer:
A.
Step-by-step explanation:
The equation that represents function f(x) is (a) [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]
The original function is given as:
[tex]y = \sqrt[3]{x}[/tex]
First, the function is translated 6 units left.
The rule of this translation is:
[tex](x,y) \to (x +6,y)[/tex]
So, we have:
[tex]y = \sqrt[3]{x + 6}[/tex]
Next, the function is translated 1 unit up.
The rule of this translation is:
[tex](x,y) \to (x,y+1)[/tex]
So, we have:
[tex]y = \sqrt[3]{x + 6} + 1[/tex]
Express y as a function of x
[tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]
Hence, the equation that represents f(x) is [tex]f(x) = \sqrt[3]{x + 6} + 1[/tex]
Read more about translation at:
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Greg drove 300 miles at a constant speed in 5. The speed limit was 70 miles per hour. Was his rate greater than the speed limit?
The average speed of Greg will be 60 miles per hour.
To answer this question, we need to calculate Greg's average speed during the trip.
We can use the formula:
Average Speed = Total Distance / Total Time
In this case, Greg drove 300 miles in 5 hours, so:
Average Speed = 300 miles / 5 hours = 60 miles per hour
Since Greg's average speed was 60 miles per hour, which is less than the speed limit of 70 miles per hour, his rate was not greater than the speed limit.
Learn more about inequalities here:
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Henry predicted whether he got answers right or wrong in his 50 question exam. He identified the 36 questions he thought he got right. It turns out that Henry got 5 questions wrong that he thought he got correct and he only got 11 of the questions wrong he had predicted. What is the percentage accuracy he had with predicting his scores?
Answer:
84%
Step-by-step explanation:
Henry completed a total of 50 questions. From these 50 he predicted 36 were right and this means he also predicted that 14 were wrong (50-36 = 14). From these predictions 5 out of 36 from the ones that he predicted were right were actually wrong and 3 of the 14 questions (14-11 = 3) he predicted were wrong were actually right. Meaning in total he wrongly predicted 8 questions which means he predicted 42 correctly ...
42 / 50 = 0.84 = 84%
Therefore, Henry's prediction accuracy is 84%