An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of customers who sat outside is 389.
The number of customers who sat inside is 4279.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Total number of customers = 4,668
Number of customers who sat outside = x
Number of customers who sat inside = 11x
Now,
x + 11x = 4,668
12x = 4,668
x = 389
11x = 11 x 389 = 4279
Thus,
The number of customers who sat outside is 389.
The number of customers who sat inside is 4279.
Learn more about expressions here:
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A picture-framing shop has the sign shown below in the window.
Frame Sale!
Half Off 17-inch-by-24-inch Frames
A customer has a 4-inch-by-6-inch picture. If the customer wants to enlarge the photograph so that it will come as close as possible to fitting a sale frame, how many times larger should the photo be?
A. 2
B. 3
C. 4
D. 5
E. 13
Answer:
This answer should help it will be in the comments side
Step-by-step explanation:
factor this polynomial x^2 -3x^3 +10x^7
which function defines (f divided by g)(x)
Answer:
A if its wrong im sorry
Step-by-step explanation:
The function is (f ÷ g) (x) is given as [tex](3.6)^{-2x + 1}[/tex]. Then the correct option is A.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The functions are given as
[tex]\rm f(x) = (3.6)^{x + 2}\\\\\\g(x) = (3.6)^{3x + 1}[/tex]
The f(x) is divided by the g(x), we have
[tex]\rm (f \div g ) (x) = \dfrac{f(x)}{g(x)} = \dfrac{(3.6)^{x + 2}}{(3.6)^{3x + 1}}\\\\\\(f \div g ) (x) = (3.6)^{x + 2}*(3.6)^{-(3x + 1)}\\\\\\(f \div g ) (x) = (3.6)^{x + 2- 3x - 1}\\\\\\(f \div g ) (x) = (3.6)^{-2x + 1}[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
What is the y intercept of the line?
-3
1
5
-2
Find the slope given: (1,5) & (3,12)
m =
Answer:
Rise (y) over Run (x)
12-5
------
3-1
7/2=m
Step-by-step explanation:
Answer:
[tex]\frac{7}{2}[/tex]
Step-by-step explanation:
Slope, or the Rise/run formula is typically used on the coordinate plane to figure the equation of a line. Although we are not given the direct image, we can still determine the slope by using the following formula:
[tex]slope=\frac{rise}{run} =\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\=\frac{12-5}{3-1} \\=\frac{7}{2} \\slope=\frac{7}{2}[/tex]
I would be ahppy to help you again in the future, and hope that this answer gives you some clarification :D
Which part of the water cycle is this image most similar to?
(6x - 3y) -2(x + 4y)
Answer:
4x-11y
Step-by-step explanation:
How to solve your question
Simplify
(6−3)−2(+4)
(6x-3y)-2(x+4y)
(6x−3y)−2(x+4y)
Distribute
(6−3)−2(+4)
(6−3)−2−8
Eliminate redundant parentheses
(6−3)−2−8
6−3−2−8
Combine like terms
6−3−2−8
4−3−8
Combine like terms
4−3−8
4−11
Solve for x and y. Please help, I will mark as brainliest and give many points
Answer:
x=13 y=25
Step-by-step explanation:
Answer:
x = 30°, y = 45°, w = 14√2, v = 7√2Step-by-step explanation:
ΔABC has AB = 2BC, hypotenuse is twice the leg
⇒ x = 30°ΔBCD is isosceles right triangle
⇒ y = 45°ΔMPN is isosceles right triangle (∠M = 45°)
⇒ w = MN = √2PN = 14√2ΔMKP is isosceles right triangle (∠M = 45°)
v= KP = MK = 1/2MN = 1/2(14√2) = 7√2I will give 15 points and brainliest for this answer
is 10a + 1b equivalent to 7a+5b-3a+4b
or
4a + 9b equivalent to 7a+5b - 3a +4b
explain plsss
from the set 1/2/3/4/5 which values make the inequality n + 1 > true?
Hi there!
To make n+1>4 true, you must have n be a numebr greater than 3...
The reason why is because if it is less than 3 or 3, it’ll have to be <.
The two numbers that can make this equation true is 4 and 5...
[tex]4+1=5>4[/tex]
[tex]5+1=6>4[/tex]
And if it is 1,2, and 3 it would be:
[tex]1+1=2<4[/tex]
[tex]2+1=3<4[/tex]
[tex]3+1=4=4[/tex]
What is 4x - 8x + 11 + 24
Can someone help me please help pls thank you so much
Answer:
B
Step-by-step explanation:
To answer this question, you simply have to keep track of the numbers given and make sure that there is an 'X' for each number where it belongs. By looking at the line plots, we can say that the answer is:
Chart B
Hope this helps :)
What is the volume of the cylinder?
384 cm3
14 cm3
288 cm3
48 cm3
Answer/Step-by-step explanation:
Volume of a cylinder is given as V = πr²h
Where,
radius (r) = 6 cm
height (h) = 8 cm
Plug in the values
V = π*6²*8
V = π*36*8
V = π*288
V = 288π cm³ or 904.78 cm³
4(10-x)=40-4x is one solution
Answer:
( -infinity, infinity)
Step-by-step explanation:
any value of x is true
The school play earned $11,271 in ticket sales. If the cost of each ticket was $13, how many tickets were sold?
Answer:
867 tickets were sold because if you divide how much they earned by how much it cost you get 867
Answer:
867 Tickets
Step-by-step explanation:
Divide $11,271 by the number of the ticket cost $13.
11,271/13= 867
Twice a number is 17
Answer:
Twice a number is 17=2×17=34
8.5
8.5=8.5=17
8+8=16
.5+.5=1
16+1=17
body fat of 13.5% and weighs 166 pounds. How many pounds of his weight is made up of fat?
Answer:
22.41
Step-by-step explanation:
100%-> 166
13.5%-> 22.41
On a particularly rainy day the amount of rainfall measured in a rain gauge increased at a
rate of 1.5 inches each hour for 4 hours. What is the total change in the amount of rain that
has fallen after 4 hours?
Sanjay, Ajay and Anushka are employees of a company that has branches in Chennai, Bangalore and Mumbai. The company sends each of them to one of these cities at random. Let X X be a random variable that denotes the number of employees assigned to their favourite cities. If Chennai, Bangalore and Mumbai are the favourite cities of Sanjay, Ajay and Anushka, respectively, then find the possible values of X.
a. X= {0,1,2}
b. X= {0,1,2,3}
c. X= {0,1,3}
d. X= {0,[infinity]}
Answer:
c. X= {0,1,3}
Step-by-step explanation:
We have these possible outcomes:
None assigned to their favorite cities.
One assigned to their favorite city(The other two are assigned to the other's favorite city).
All are assigned to their favorite city.
Why is two not possible?
If two peooke are assigned to their favorite city, the third person necessary has to be assigned to their favorite city, as it will be the only option remaining.
So the correct answer is given by option c.
Consider the diagram and the paragraph proof below.
Given: Right △ABC as shown where CD is an altitude of the triangle
Prove: a2 + b2 = c2
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to point D on side A B to form a right angle. The length of C B is a, the length of A C is b, the length of A B is c, the length of A D is e, the length of D B is f, and the length of C D is h.
Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions StartFraction c Over a EndFraction = StartFraction a Over f EndFraction and StartFraction c Over b EndFraction = StartFraction b Over e EndFraction are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e).
Which is the last sentence of the proof?
Because f + e = 1, a2 + b2 = c2.
Because f + e = c, a2 + b2 = c2.
Because a2 + b2 = c2, f + e = c.
Because a2 + b2 = c2, f + e = 1.
Answer:
I don't know how I can help you but I found this from another person. Hope this helps!
Answer:
The answer is b
Step-by-step explanation:
Consider the diagram and the paragraph proof below.
Given: Right △ABC as shown where CD is an altitude of the triangle
Prove: a2 + b2 = c2
Triangle A B C is shown. Angle A C B is a right angle. An altitude is drawn from point C to point D on side A B to form a right angle. The length of C B is a, the length of A C is b, the length of A B is c, the length of A D is e, the length of D B is f, and the length of C D is h.
Because △ABC and △CBD both have a right angle, and the same angle B is in both triangles, the triangles must be similar by AA. Likewise, △ABC and △ACD both have a right angle, and the same angle A is in both triangles, so they also must be similar by AA. The proportions StartFraction c Over a EndFraction = StartFraction a Over f EndFraction and StartFraction c Over b EndFraction = StartFraction b Over e EndFraction are true because they are ratios of corresponding parts of similar triangles. The two proportions can be rewritten as a2 = cf and b2 = ce. Adding b2 to both sides of first equation, a2 = cf, results in the equation a2 + b2 = cf + b2. Because b2 and ce are equal, ce can be substituted into the right side of the equation for b2, resulting in the equation a2 + b2 = cf + ce. Applying the converse of the distributive property results in the equation a2 + b2 = c(f + e).
Which is the last sentence of the proof?
Because f + e = 1, a2 + b2 = c2.
Because f + e = c, a2 + b2 = c2.
Because a2 + b2 = c2, f + e = c.
Because a2 + b2 = c2, f + e = 1.
What is the area of the triangle?
Step-by-step explanation:
4x6= 24
answer: 24
GOOD LUCK ON YOUR TEST
What is the value of n in 2n+1=3
Answer:
n=1
Step-by-step explanation:
2n+1-1=3-1
2n=2 divide both sides by two
n=1
can i get brainliest please???
it would be very much appreciated
have a nice day :)
How do you work 6x²-2=11x
Answer:
Step-by-step explanation:
Please be specific: "How do you solve 6x^2 - 2 = 11x?"
Rewrite this in terms of descending powers of x: 6x^2 - 11x - 1 = 0.
Use the quadratic formula to find the roots. Here the coefficients are a = 6, b = -11 and c = -1. Then the discriminant b^2 - 4ac becomes 121 - 4(6)(-1) = 121 + 24 = 145, and so the roots are:
-(-11) ± √145 11 ± √145
x = ---------------------- = ------------------
2(6) 12
Help me with this one please, the highlighted one is wrong.
Answer:
d
Step-by-step explanation:
i did this before so i pretty much know
Lluvia got $100 from her grandparents for her birthday. She has a weekly after school babysitting job. She earns $40 per week from her babysitting job.
A. If she does not spend any of her money, write an algebraic expression that shows how much money she has after w weeks.
B. How much money will she have after 10 weeks.
C. Alex thinks the expression 10 (40w + 10) is represents the. total amount of money Lluvia will have after w weeks. Explain whether or not Alex is correct.
Answer:
A. Y= 40w+100
B. $500
C. That would make her $400 per week plus the 100 dollars from her grandparents
Step-by-step explanation:
A graphing calculator is recommended. A bacteria culture starts with 300 bacteria and doubles in size every half hour. (a) How many bacteria are there after 2 hours? bacteria (b) How many bacteria are there after t hours? y = bacteria (c) How many bacteria are there after 40 minutes? (Round your answer to the nearest whole number.)
Answer:
a) 4800 bacteria
b) [tex]y(t) = 300(4)^t[/tex]
c) 754 bacteria
Step-by-step explanation:
A bacteria culture starts with 300 bacteria and doubles in size every half hour.
This means that the number of bacteria after t periods of half hour is given by:
[tex]y(t) = 300*(2)^{t}[/tex]
(a) How many bacteria are there after 2 hours?
2 hours is 2*60/30 = 4 periods of 2 hours, so this is y(4).
[tex]y(4) = 300*(2)^{4} = 300*16 = 4800[/tex]
(b) How many bacteria are there after t hours?
It doubles every half hour, so each hour, it is multiplied by 4. Then
[tex]y(t) = 300(4)^t[/tex]
(c) How many bacteria are there after 40 minutes?
40 minutes is 40/30 = 1.33 periods of half hour. So this is y(1.33).
[tex]y(1.33) = 300*(2)^{1.33} = 754[/tex]
(24 points) Need some help please !
Answer:
39°
Step-by-step explanation:
3x+15+1+10x+60=180
13x+76=180
13x=180-76
13x=104
x=8
A=3x+15
A=3(8)+15
A=24+15
A=39
An advertising agency notices that approximately 1 in 50 potential buyers of a product ssees a given magazine ad, and 1 in 5 sees a corresponding ad on television. One in 100 see both. One in 3 actually purchases the product after seeing the ad, 1 in 10 without seeing it. What is the probability that a randomly selected potential customer will purchase the product
Answer:
0.1490 = 14.90% probability that a randomly selected potential customer will purchase the product.
Step-by-step explanation:
Probability of seeing the ad:
I am going to find this probability using Venn Sets.
I am going to say that:
Event A: Sees a magazine ad.
Event B: Sees a television ad.
Approximately 1 in 50 potential buyers of a product sees a given magazine ad
This means that [tex]P(A) = \frac{1}{50} = 0.02[/tex]
1 in 5 sees a corresponding ad on television.
This means that [tex]P(B) = \frac{1}{5} = 0.2[/tex]
One in 100 see both.
This means that [tex]P(A \cap B) = \frac{1}{100} = 0.01[/tex]
The probability of seeing the ad is the probability of seeing at least one of those(magazine or tv), which is:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]. So
[tex]P(A \cup B) = 0.2 + 0.02 - 0.01[/tex]
[tex]P(A \cup B) = 0.21[/tex]
Probability of purchasing the product.
0.21 = 21% of customers see the add. Of those, 1/3 = 0.3333 buy the product.
1 - 0.21 = 0.79 = 79% of customers dont see the add. Of those, 1/10 = 0.1 buy the product. So
[tex]p= 0.21*0.3333 + 0.79*0.1 = 0.1490[/tex]
0.1490 = 14.90% probability that a randomly selected potential customer will purchase the product.
What is the domain of the relation graphed below?
Answer:
Domain: {-5, -4, -3, 1, 2, 5}
Step-by-step explanation:
Recall:
Domain = inputs (x-values)
Range = outputs (y-values)
All set of x-values (input) of the points that are plotted on the graph make up the domain of the relation.
Thus, they are:
Domain: {-5, -4, -3, 1, 2, 5}