Answer:
linear
Step-by-step explanation:
Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $70. For one performance, 25 advance tickets and 35 same-day tickets were sold. The total amount paid for the tickets was $2050. What was the price of each kind of ticket?
Answer:
You can use the method of substitution.
Let the advance and same-day tickets be x and y respectively.
x + y = $70 ---> (1)
25x + 35y = $2050 ---> (2)
From Statement (1):
Let (1) × 25
25x + 25y = $1750
10y = $2050 - $1750
= $300
y = $300 ÷ 10
= $30 ---> (3)
From Statement (3):
Substitute (3) into (1)
x + $30 = $70
x = $70 - $30
= $40
Advance ticket: $40
Same-day ticket: $30
What is the molarity of a solution
made by dissolving 67.3 g of lithium
chloride (LiCl) in enough water to
make 2.37 L of solution?
Molar Mass Li: 6.94 g/mol
Molar Mass Cl: 35.45 g/mol
Answer:
0.670. M
Step-by-step explanation:
Molarity can be expressed like this:
molarity = number of moles /volume (L)
We know the volume, which is 2.37 L , but we need to find the number of moles. We can do this by dividing 67.3 g by the molar mass of L i C l :
number of moles = mass of sample /molar mass
number of moles = 67.3 g /(6.94 + 35.45) g/mol = 67.3 g /42.39 g/mol
number of moles = 1.59 mol
molarity = 1.59 mol /2.37 L = 0.670. M
GEOMETRY MULTIPLE CHOICE
Answer:
E seems to be the only one that is true
Step-by-step explanation:
its just asking you basically which ones are true based on the info they already give you
Harry has $10 in his bank account, and he adds $2 every week. based on this information, which representation best shows the relationship between the amount of money harry has in his bank account ,y, and the number of weeks that have passed, x? (im testing....)
Answer:
y= (2x)+10
Step-by-step explanation:
if harry has an initial balance of $10 in his bank account, he will have something +10 for the initial 10.
If he adds $2 to his bank account every week, then the amount of money in his bank account (y) can be modeled by the equation
y = (2x)+10
where y represents how much money he has in his bank account and x represents the amount of weeks he is adding $2.
-
Which polynomial has a factor of (x - 5)?
A x² + 4x - 5
B x + 5x + 4
C x² – 2x - 15
D 2x + 11x + 5
-
Answer:
The correct answer is C
x² - 2x -15
Help help math math math
Answer:
pushin p
Step-by-step explanation:
pushin p
Which of the following statements about the image below is true?
Answer:
d. Line UR and Line VW are parallel
Step-by-step explanation:
If they were to continue going straight, they would not touch, making them parallel.
I hope this helps!
Solve 3x-5 + x= 31.
09
0-12
O 12
[tex]3x-5 +x = 31\\\\\implies 4x -5 = 31\\\\\implies 4x = 31 +5\\\\\implies 4x = 36 \\\\\implies x =\dfrac{36}4\\\\\implies x = 9[/tex]
Find the quotient 12÷3/8
Answer:
32
Step-by-step explanation:
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator
Thus, the answer to 12 divided by 3/8 in fraction form is:
96 /3
To make the answer to 12 divided by 3/8 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
96 / 3 = 32
The answer is rounded to the nearest two decimal points if necessary.
96/3 can be simplified to 32/1.
32/1 is an improper fraction and should be written as 32.
Hope this helps <3
Answer:32
Step-by-step explanation: 0.375 = 3/8
12/0.375=32
Select the fraction equivalent to 0.1¯
its not 1/10
1/1
B 1/9
C 1/11
please explain why
Answer:
its 1/10
Step-by-step explanation:
You are wrong because 0.1 x 10 is 1 just like 1/10 x 10 is 1.
20 giraffes were introduced to a certain safari and it is expected to double its population every 5 years. How many giraffes will exist after 2 years? How long it would take to increase their population to 60?
It would take 7.9 years to increase their population to 60.
An exponential function is in the form:
y = abˣ
where a is the initial value of y and b is the multiplier.
Let y represent the number of giraffes after x years.
From the question:
a = 20, b = 2, hence
[tex]y=20(2)^\frac{x}{5} \\\\for\ x=2:\\\\y=20(2)^\frac{2}{5} =26\\\\For\ y=60:\\\\60=20(2)^\frac{x}{5} \\\\2^\frac{x}{5} =3\\\\x=7.9\ years[/tex]
It would take 7.9 years to increase their population to 60.
Find out more on exponential function at: https://brainly.com/question/2456547
Karma took a 50 question math test, but only 40 questions were correct. What was the percentage of correct answers?
Answer:
85 percent
Step-by-step explanation:
1/8+1/4=? do you know what it could be!?
Answer:0.375
Step-by-step explanation:
1/8 + 1/4 = 3/ 8=0.375
Help help help math math ASAP
Answer:
4
Step-by-step explanation:
f(-3) = 2 * (-3) + 10
An element with mass 330 grams decays by 25.5% per minute. How much of the
element is remaining after 5 minutes, to the nearest 10th of a gram?
Answer:
After 5 minutes, it remains 75.73 grams of mass.
Step-by-step explanation:
Each minute, the mass is decreased by a 25.5%. So, we can find the mass after each minute period.
First minute.
330gr - 0.255 (330gr)= (330 - 84.15)gr = 245.85gr
Second minute.
245.85 - 0.255 (245.85) = 245.85 - 62.69 = 183.16gr
Third minute.
183.16 - 0.255 (183.16) = 183.16- 46.70= 136.45gr
Fourth minute.
136.45- 0.255 (183.16) - 136.45 - 34.80= 101.65gr
Fifth minute.
101.65 - 0.255 (101.65)= 101.65 - 25.92= 75.73gr
Therefore, after 5 minutes, it remains 75.73 grams of mass.
The average price of an item is $42 with a standard deviation of $3
Find a 98% confidence interval about the mean (one decimal place).
Is a value of X=48 unusually high or is it normal? Choose correct explanation!
Step-by-step explanation:
standard deviation of $3
Find a 98% confidence interval about the mean (one decimal place).
Is a value of X=48 unusually high or is it normal? Choose correct explanation
Kanica wants to earn at least $750 this week in commission. What is the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells? Round your answer to the nearest dollar if necessary.
Answer:
Total earning Kanica wants to make is at least $750
The commission she gets is 7.5 % Therefore to find the sales she should make we use :
(Total earnings * 100% )/ Commission
= (100 * 750) / 7.5
=75000/7.5
= $ 10,000
The minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Kanica wants to earn at least $750 this week in commission.
Let x be the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells.
The value of x can be found as follows:
x = 750/(7.5%)
x = (750/7.5)x100
x = $10,000
Thus, the minimum amount she needs to sell in order to earn $750 if she earns a 7.5% commission on everything she sells is $10,000.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ5
Ellie and Isaiah are helping their friend Nora move. If Ellie can move 4 boxes for
every 16 boxes that Isaiah moves, then how many boxes can Isaiah move for every
box that Ellie moves?
Answer:
Isaiah can move 4 boxes for every box Ellie moves.
Pls give brainliest. :D
The figure shown is to be painted on a road sign. Which of the following best describes the two polygons that form the figure?
A. A rectangle and an isosceles trapezoid
B. A rectangle and a rhombus
C. A rectangle and a parallelogram
D. A rectangle and an isosceles triangle
Answer:
D: A rectangle and an isosceles triangle
Step-by-step explanation:
A recangle for the base of the arrow, and an isosceles triangle to form the full arrow.
The answer will be option D which is a rectangle and an isosceles triangle.
What is an isosceles triangle?The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.
As we can see in the figure there are one isosceles triangle and a rectangle are joined together to form an arrow.
Thus the answer will be option D which is a rectangle and an isosceles triangle.
To know more about the isosceles triangle follow
https://brainly.com/question/1475130
#SPJ2
I need help on these functions questions
Answer:
see explanation
Step-by-step explanation:
(a)
Substitute x = - 1 into f(x)
f(- 1) = 6 - 2(- 1) = 6 + 2 = 8
(b)
Substitute x = [tex]\frac{1}{3}[/tex] into g(x)
g([tex]\frac{1}{3}[/tex] ) = [tex]\frac{9}{\frac{1}{3} }[/tex] = 9 × 3 = 27
(c)
Substitute x = f(x) into h(x)
h(6 - 2x)
= 6 + (6 - 2x)² ← expand using FOIL
= 6 + 36 - 24x + 4x² ← collect like terms
= 4x² - 24x + 42
(d)
Substitute x = f(x) into g(x)
g(6 - 2x)
= [tex]\frac{9}{6-2x}[/tex]
(e)
Evaluate g(12) then substitute value obtained into f(x)
g(12) = [tex]\frac{9}{12}[/tex] = [tex]\frac{3}{4}[/tex] , then
f([tex]\frac{3}{4}[/tex] ) = 6 - (2 × [tex]\frac{3}{4}[/tex] ) = 6 - [tex]\frac{3}{2}[/tex] = [tex]\frac{9}{2}[/tex]
(f)
Evaluate f(- 9) then substitute the value obtained into h(x)
f(- 9) = 6 - 2(- 9) = 6 + 18 = 24 , then
h(24) = 6 + 24² = 6 + 576 = 582
Keith bought 4 new baseball trading cards to add to his collection. The next day his dog at half of his collection. There is now 25 cards left. How many cards did Keith start with?
Answer:
46 cards
Step-by-step explanation:
We can use a variable to represent the starting amount of cards: (x)
Keith bought 4 new cards: (+4)
His dog ate half of the collection: (x/2)
There are now 25 cards: (=25)
So we can use this expression to find the starting amount: (x+4)/2=25
Start by multiplying both sides by 2 to get rid of the (x/2).
Now subtract 4 from both sides to get rid of the (+4).
Finally, we know x= 46
Thus, Keith started with 46 cards.
a shirt is on sale for 20% off the original price. if the original price is 25.00, what will be the sale price of the shirt
Answer:
$20 is the sale price
Step-by-step explanation:
20% of $25 is (0.2*25)=$5
$25 -$5 = $20
An article fills 5/8 of a magazine page. A related photo takes 1/4 of the article. How much of the page is taken up by the photo?
Answer:
2/8
Step-by-step explanation:
Hayley is considering two gym membership plans. The plans are detailed here. Plan One: $40 for a monthly pass plus $4 for each gym visit Plan Two: $12 for each gym visit. Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?
y=40x+4
y=4x+40
y=12x
y=3x+50
please help
Answer:
Plan One: y=4x+40
Plan Two: y=12x
Step-by-step explanation:
The length of my rectangular calculator lid is 11 mm more than the width. The area is 152 square
mm. Find the dimensions of the lid.
Answer:
The dimensions of the lid are 8mm by 19mm.
w = 8
l = 19
Step-by-step explanation:
[tex]l=w+11\\l\times w=152[/tex]
where l is length and w is width. This can be solved as a system of equations.
[tex]l\times w=152\\(w+11)\times w=152\\w(w+11)=152\\w^2+11w=152\\w^2+11w-152=0[/tex]
At this point, it gets a little tough. I might be unnecessarily overcomplicating things, but this is the only way I see to solve the problem.
=================== Skip down below if you don't care about factoring
You need to factor the newly created trinomial.
[tex]ax^2+bx+c[/tex]
With a trinomial in this form, you need to find 2 numbers that add together to make b and multiply together to make ac.
Here, we need 2 numbers that add to 11 and multiply to -152. First, factor 152:
1, 152
2, 76
4, 38
8, 19
Then the reverse of all of those is true too, of course:
19, 8
38, 4
etc
In our case, we're looking for -152, so one of our factors will be negative. We're also looking for factors that add up to 11. Looking at these factors, you can see that 19 - 8 = 11, so our factors are 19 and -8.
Finally, you can use those to factor our trinomial. Split up the middle number (11w) into two:
[tex]w^2+11w-152=0\\w^2-8w+19w-152=0[/tex]
And now, you can factor by grouping:
[tex]w^2-8w+19w-152=0\\w(w-8)+19(w-8)=0\\(w+19)(w-8)=0[/tex]
===================
Now that the number is factored, you can finally find w:
[tex](w+19)(w-8)=0[/tex]
Here, you can see that the equation will be true when w = -19 or w = 8. Those are our solutions, but we can't have a negative distance, so it's just
[tex]w=8[/tex]
Going all the way back to the top, now you can use the width to find the length.
[tex]l=w+11\\l=8+11\\l=19[/tex]
That one was much easier.
The dimensions of the lid are 8mm by 19mm.
Finally, check that with both of the original equations to make sure it's correct.
[tex]l=w+11\\19=8+11\\19=19\\\\l\times w=152\\19\times8=152\\152=152[/tex]
pls help me in this question
a . If 3x,2x and (x+12) are supplymentary angles find the sizes of unknown angles
Answer:
x=28°
Step-by-step explanation:
supplementary angles equal 180°
So:
3x+2x+x+12=180°
6x+12=180
6x=168
x=28°
Therefore:
3x:
3(28)=84°
2x:
2(28)=26°
x+12:
28+12=40°
What is the length of LN in the right triangle below?
Answer:
D 280
Step-by-step explanation:
Pythagoras theorem
Answer:
a
Step-by-step explanation:
LN=√19^2 - 9^2
=√361 - 81
=√280
For her phone service, Kala pays a monthly fee of $24, and she pays an additional $0.07 per minute of use. The least she has been charged in a month is $118.64.
What are the possible numbers of minutes she has used her phone in a month?
Use m for the number of minutes, and solve your inequality for m.
Answer:
m=1352
Step-by-step explanation:
(118.64-24)/0.07=m
#8) Identify all pairs of congruent sides
please need help with this Calculus question