The costs of general admission and student tickets to a high school football game are $7 and $4 respectively. The ticket sales for one game totaled $11,200. Write an equation which models the situation.
Answer:
7x + 4y = 11,200
Step-by-step explanation:
Let
Number of Admission tickets A = x
Number of Admission tickets B = y
Cost of Admission tickets A = $7
Cost of Admission tickets B = $4
Total cost = $11,200
The equation is:
7x + 4y = 11,200
A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
Answer:
13.8 ounces of salt
Step-by-step explanation:
A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
Step 1
Note that:
1 shaker = 0.6 ounces of salt
8 shakers = x
Cross Multiply
x = 8 × 0.6 ounces of salt
x = 4.8 ounces of salt
Step 2
The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?
This is calculated as:
18.6 ounces of salt - 4.8 ounces of salt
= 13.8 ounces of salt
a number cube has sides numbered 1 through 6 the probability of rolling a 2 is 1 out of 6
Yes, that is a correct statement.
But im left wondering what is the darn question
What angles are adjacent ?
Answer:
Angle number 5 is adjacent to angle psl
If the perimeter of a rectangle garden with a width of 15 is 125, what is the perimeter of the daily record it if the scale factor is 60%
Answer:
(here i assume that the daily record is another rectangle)
For a rectangle with width W and length L, the perimeter is:
P = 2*W + 2*L
in this case we know that:
P = 125
W = 15
Replacing these in the perimeter equation we get:
125 = 2*15 + 2*L
125 = 30 + 2*L
125 - 30 = 2*L
95 = 2*L
95/2 = L = 47.5
Now we know that the daily record has a scale factor of 60%.
This means that each measure of this rectangle is (60%/100%) times the equivalent measure of the rectangle garden.
Then if the width of the daily record is W' and the length of the daily record is L'
This means that:
L' = (60%/100%)*L = 0.6*L = 0.6*47.5
W' = (60%/100%)*W = 0.6*W = 0.6*15
Then the perimeter is:
P' = 2*0.6*47.5 + 2*0.6*15 = 75
(notice that is exactly the same than multiplying the original perimeter by (60%/100%) = 0.6)
find area of circle
Answer: 75 ft^2
Step-by-step explanation:
Radius is half of the diameter. Diameter is given as 10.
3 (5)^2
3 x 25 = 75 ft^2
5. It is known that 15% of the seniors in a large high school enter military
service upon graduation. If a group of 20 seniors are randomly selected,
what is the probability of observing two who will be entering military
service? *
Answer:
Hope this helps you. Do mark me as brainliest.
The probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.
What is a Binomial distribution?A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,
[tex]P(x) = ^nC_x p^xq^{(n-x)}[/tex]
Where,
x is the number of successes needed,
n is the number of trials or sample size,
p is the probability of a single success, and
q is the probability of a single failure.
As it is given that 15% of the seniors in a large high school enter military
service upon graduation. Therefore, the probability of a large high school entering the military services will be 0.15. Similarly, the probability of a senior from a large high school not joining entering the military can be written as,
[tex]q = (1-p)\\\\q = 1-0.15\\\\q=0.85[/tex]
Now, the probability of 2 seniors out of 20 serving in the military will be,
[tex]P(x) = ^nC_x p^xq^{(n-x)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(20-2)}\\\\P(x=2) = ^{20}C_2 \times (0.15)^2 \times (0.85)^{(18)}[/tex]
Hence, the probability of 2 seniors out of 20 serving in the military is ²⁰C₂(0.15)²(0.85)¹⁸.
Learn more about Binomial Distribution:
https://brainly.com/question/14565246
The value of x in the expression
2x/3 - 7 = 5 is
Answer:
The answer is X = 18
Step-by-step explanation:
2x/3 - 7 = 5
Multiply both sides if the equation by 3 : 2x - 21 = 15
Move the constant to the right hand side and change its sign : 2x = 15 + 21
Calculate 2x = 15 + 21
2x = 36
Divide both sides of the eqaution by 2 : 2x = 36
x = 18
Answer X = 18
Help PLZ WILL GIVE BRAINLIEST!!!! What is the value of x?
4
42√
8
82√
Answer:
g
Step-by-step explanation:
HELP ILL GIVE 50 POINTS.!!
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 3)(0,3) and (5, 3072)(5,3072).
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2 Divide both sides by b2
2b = 4 a = 2/4 = 1/2
b = 2
y = 1 (2)x
2 hopefully this helped.
Answer:
y=3(4) x
Step-by-step explanation:
Area and perimeter pls
Perimeter 97.24
90 + 5 + 2.25
Area 1008
90 * 5 * 2.24 = 1008
help me please I'm bad at this
Answer:
39
NOTE: JUST SUBTRACT 45 AND 6
Please mark as brainliest
Have a great day, be safe and healthy
Thank u
XD
An albatross is 5 meters above the surface of the ocean. How does its distance from the surface compare to the vertical distance from the eyes of: The jumping dolphin? The flying seagull? The octopus?
Answer:
The jumping dolphin -- changes
The flying seagull -- same
The octopus -- same
Step-by-step explanation:
The distance of the Albatross from the sea surface when compared to the vertical distance from the eyes of the :
The jumping dolphin :
As the dolphin jumps out from the sea, the vertical distance of the albatross from the surface seems to be decreasing and then increasing as seen by the jumping dolphin.
The flying seagull :
The distance of the albatross is at the same height as seen by the seagull since it is flying at the same level, i.e. at the level of the sea surface
The octopus :
The octopus remains at the same depth below the water surface. So the distance of the albatross for the octopus remains the same at 5 m above the ocean surface.
R is a supplement of S, S is a complement of T, and mT = 72º . Find mR – mS.
Step-by-step explanation:
complementary angle is 90 degrees
so angle t and s are complementary
measure of angle t is 72 degrees
so measure of angle s will be 90 degrees minus 72 degrees which gives 18 degrees
so measure of angle s is 18 degrees
angle r and angle s are supplement which means their sum is 180 degrees
so measure of angle r will be 180 minus 18 which gives 162
so measure of angle r is 162 degrees
we need to find measure.of angle r minus measure.of angle s
so 162 minus 18 which gives 14r
can you please help me with this question
Answer:
your answer will be 1
Step-by-step explanation:
[tex]Tan (-135)\\\\=-Tan 135\\\\-Tan(90+45)\\\\-(-co+45)\\\\+co+45\\\\=1[/tex]
hope it helps
330 is 16.5% of what (x) value?
Answer:
= 5 Percent
Step-by-step explanation:
Marking brainliest.
Does anyone listen to indie music? If so, drop your Spotify/indie music please! Need new music
Answer:
is nirvana considered indie? idrk--- but i listen to that band and a lot of rock songs :)
Step-by-step explanation:
I need help with this someone please
PLS HELP ASAP! GIVING BRAINLIST
Answer:
f(x)=(3x+6)(x-2)
Step-by-step explanation:
(3x+6)
(x-2)
Which property can be used to expand the expression -2(3/4x+7)
A. The associative property
B. the commutative property
C. the distributive property
D. the additive identity property
P.S. the 3/4 is three-fourths not division.
Answer:
B. the distributive property
Step-by-step explanation:
Distributive property can be used to expand the expression -2(3/4x+7).
When that property is used, we need to distrubute the monomial to the binomial which is the two terms.
[tex] - 2( \frac{3}{4} x + 7) \\ \Longrightarrow \boxed{- 2( \frac{3}{4} x) + - 2(7)} [/tex]
#BrainliestBunch
Answer:
b
Step-by-step explanation:
PLEASE HELP!! desperate!
Solve this;
Please answer...Easy math
Answer:
[tex] P(A^c) =0.38[/tex]
Step-by-step explanation:
[tex]\because P(A) + P(A^c) = 1 \\ \\ \therefore \: P(A^c) = 1 - P(A) \\ \\ \therefore \: P(A^c) = 1 - 0.62 \\ \\ \therefore \: P(A^c) =0.38[/tex]
*PLEASE ANSWER!!!*
What can you create to help you make a plan on how to spend your money?
a.) A tax form
b.) A deposit
c.) A budget
Answer:
c
Step-by-step explanation:
A budget
hope this helps
What is an equation of the line that passes through the point ( − 1 , − 3 ) and is perpendicular to the line x − 2 y = 14?
Answer:
y = -2 -5
Step-by-step explanation:
x - 2y = 14
-2y = -x + 14
y = 1/2x - 7
-3 = -2 (-1) + b
-3 = 2 + b
-5 = b
y = -2 -5
Emily collects and trades rocks. She starts with 8x2 rocks, for some number x, and then buys 7x4. She then trades away x5, then gives away 9x, and finally sells another 5 rocks. Write an expression for the number of rocks Emily now has in standard form. Group of answer choices
A.−x5+7x4+8x2−9x−5
B.8x2−5+7x4−9x−x5
C.−9x+8x2+7x4−5−x5
D.−5−9x+8x2+7x4−x5
Answer:
-x^5 + 7x⁴ + 8x² - 9x - 5
Step-by-step explanation:
For the question given:
Rocks traded, sold or given away are denoted by negative values, '-' while rocks bought or purchased are diniywd as positive, '+'
Starting = 8x² ;
Purchase = + 7x⁴ ;
Trades = - x^5
Gives away = - 9x
Sells = - 5
The number of rocks Emily now has :
8x² + 7x⁴ - x^5 - 9x - 5
In standard form:
Arrange in order of power :
-x^5 + 7x⁴ + 8x² - 9x - 5
Jill can run 5 miles in 45 minutes. If she keeps the same pace, how long will it take her to run 18 miles?
Answer:
T = 162 minutes
Step-by-step explanation:
Given that,
Jill can run 5 miles in 45 minutes.
We need to find how long will it take her to run 18 miles.
[tex]5\ miles =45\ minutes\\\\1\ mile=(\dfrac{45}{5})\ minute\\\\1\ mile =9\ minute[/tex]
So,
18 miles = (18×9) minutes
= 162 minutes
Hence, 162 minutes will be taken by her to run 162 minutes.
If f(x)=x^3-12x^2+35x-24f(x)=x 3 −12x 2 +35x−24 and f(8)=0f(8)=0, then find all of the zeros of f(x)f(x) algebraically.
Answer:
The zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
Step-by-step explanation:
Given
[tex]f(x)=x^3-12x^2+35x-24[/tex]
[tex]f(8) = 0[/tex]
Required
Find all zeros of the f(x)
If [tex]f(8) = 0[/tex] then:
[tex]x = 8[/tex]
And [tex]x - 8[/tex] is a factor
Divide f(x) by x - 8
[tex]\frac{f(x)}{x - 8} = \frac{x^3-12x^2+35x-24}{x - 8}[/tex]
Expand the numerator
[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 -8x^2 + 3x + 32x - 24}{x - 8}[/tex]
Rewrite as:
[tex]\frac{f(x)}{x - 8} = \frac{x^3 - 4x^2 + 3x - 8x^2 +32x - 24}{x - 8}[/tex]
Factorize
[tex]\frac{f(x)}{x - 8} = \frac{(x^2 - 4x + 3)(x - 8)}{x - 8}[/tex]
Expand
[tex]\frac{f(x)}{x - 8} = \frac{(x^2 -x - 3x + 3)(x - 8)}{x - 8}[/tex]
Factorize
[tex]\frac{f(x)}{x - 8} = \frac{(x - 1)(x - 3)(x - 8)}{x - 8}[/tex]
[tex]\frac{f(x)}{x - 8} = (x - 1)(x - 3)[/tex]
Multiply both sides by x - 8
[tex]f(x) = (x - 1)(x - 3)(x - 8)[/tex]
Hence, the zeros of f(x) are: (x - 1), (x - 3) and (x - 8)
Is 7 asolution for the equation 2x + 12=3x +(-2x + 5)
Answer:
No
Step-by-step explanation:
2X + 12=13x - 2x + 5
2X + 12= 11x+5
2x-11x = 5-12
-9x = -7
X = 7/9
so the answer is NO
Find the value of 3a when a= 6.
Answer:
18
Step-by-step explanation:
a = 6
3a = 6 x 3 = 18
When you see alphabets with numbers at the back like 2, 4 or etc, just multiply them.
what is the image of the point (2,-3) after a rotation of 180 degrees counterclockwise about the origin ?
Answer:
is is on the x acsess 2 and go down to -3. Hope this helped!
Step-by-step explanation:
Go to the x acsessw and go to 2 go down to -3 and mark