16. If y varies directly as x, and x = 9 when y = 15, find y when x = 33?
Answer:
y=55 when x is 33
Step-by-step explanation:
Use the direct variation formula:
[tex]\frac{y}{x} =k[/tex] or [tex]\frac{y}{x} =\frac{y}{x}[/tex]
Insert the given values:
[tex]\frac{15}{9}=\frac{y}{33}[/tex]
To simplify the equation, cross multiply:
[tex]15(33)=9(y)\\\\495=9y[/tex]
Isolate the variable. Divide both sides by 9:
[tex]\frac{495}{9} =\frac{9y}{9} \\\\55=y[/tex]
Therefore, when x is 33, y is 55.
:Done
1. Which one of the following is polynomial function ?
(2x+1)x²
A. f(x) =
2x+1
-20 +4x²+8
C. f(x) =
2
2x +4x²+x
D. f(x) =
+ 2x
2x
B. f(x) = 4x2 +2V x2 + 3
Answer:
Answer is Option B f(x)=2V x2+3
Find the midpoint of the segment with the following endpoints.
(2, -4) and (6. – 10)
Answer:
midpoint (4,-7)
Step-by-step explanation:
please see work attached where you utilize the midpoint formula.
please give thanks :)
Answer:
[tex](4,-7)[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]Step-by-step explanation:
Step 1: Define
Endpoint (2, -4)
Endpoint (6, -10)
Step 2: Find Midpoint
Simply plug in your coordinates into the midpoint formula to find midpoint
Substitute [MF]: [tex](\frac{2+6}{2},\frac{-4-10}{2})[/tex]Add/Subtract: [tex](\frac{8}{2},\frac{-14}{2})[/tex]Divide: [tex](4,-7)[/tex]A restaurant chef made 1 4/5 pints of mushroom soup. Each bowl holds 3/10 of a pint. How may bowls of soup will the chef be able to make?
Answer:
Step-by-step explanation:
Take:
1 bowl requires 3/10 pint
X bowls require 9/5
Upon cross multiplication you get:
(3/10)x=9/5
;15x/15 = 90/15
x = 6 bowls
4(3 + 5) - 3 x 9² ?
Answer:
- 211Step-by-step explanation:
4(3 + 5) - 3 x 9² =4(8) - 3(81) =32 - 243 =- 211A 15% tip on a $20.05 lunch bill is about ...
A. $0.15
B. $1.50
C. $3.00
D. $2.05
I will give brainliest to whomever gives the answer and an explanation!! Please help!
-550/100 ÷ 14/7
Please and thank you
Answer:
-2.75
Step-by-step explanation:
(c) Mr. Young suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 35% lower than $1879. What was the price the travel agent found? Show your work.
Answer: The travel services sector is made up of a complex web of relationships between a variety of suppliers, tourism products, destination marketing organizations, tour operators, and travel agents, among many others. Under the North American Industry Classification System (NAICS), travel services comprises businesses and functions that assist with planning and reserving components of the visitor experience (Government of Canada, 2014).
A 7% – 8% commission level is somewhat standard with host agencies working with self sufficient agencies. Independent travel agents earning 90% – 100% of the commission are usually high volume seasoned agents that require little to no support from the host agency.
(sorry if im wrong)
:(
Sue is 43 years old, owns her car, but takes the bus to work. Her collision deductible is $250, and she does not have comprehensive coverage. If her cars safety rating is 22 what is her annual premium?
Answer:
B. $2080
Step-by-step explanation:
A.P.E.X
Can someone help me.
Answer:
Its green
Step-by-step explanation:
In here wehn they don't say or it means that the line is going to be attached
Plsss Help me but QUICK ASAP
Answer:
Step-by-step explanation:
THe second one
Find the slope of the line containing the points below.
(3,3) and (12,15)
Answer:
[tex]m=\frac{4}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (3, 3)
Point (12, 15)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{15-3}{12-3}[/tex]Subtract: [tex]m=\frac{12}{9}[/tex]Simplify: [tex]m=\frac{4}{3}[/tex]Please help me slove this problem
3x - 3 = 12
Answer:
x=5
Step-by-step explanation:
We kind of have to work backward.
First, we take 12+3 because when we move it over the equal sign, we make it the opposite.
12+3=15
Our new equation is now, 3x=15
We now take:
3x__=15
The blank represents x, which is 5.
Hope this helps!
-AxekickNebulite
List the sides in ^ EFG in order from smallest to largest.
================================================
Explanation:
We'll use these two rules
The smallest side is always opposite the smallest angleThe largest side is always opposite the largest angleThis only applies to triangles.
EF is the smallest side because the angle G is the smallest angle.
FG is the longest side because it is opposite the largest angle E
That places EG in the middle.
The order of the sides from smallest to largest is EF, EG, FG
what is the solution to 0.2 (4x-8)=0.4(12-2x)
Which of the following functions is non-linear?
A.y = 2x +1
B.2x- 2y=14
C.(x+2)² = 6
D.y=7
Sophie went to the lake with her family. First, they spent 1 1/4 hours of fishing. Then, they spent twice as much time swimming. How much time did they spend fishing and swimming in all?
Isaiah already has 16 dollars. Every hour (x) that he works at the bakery, he earns another 4 dollars (y). How many total dollars will Isaiah have after 13 hours of work?
write one hundred eight million four hundred four thousand in standard form
Answer:
108,404,000
Step-by-step explanation:
Answer:184,400,000
Step-by-step explanation:
good
What is the value of y
Answer:
y= 1/15.735. y is o.o64 character so one half is your answer
Answer: 27
Step-by-step explanation:
180-153= 27
y=27
Find the equation of the line whose slope of 1 over 3 and goes through the point (3, 1)
Answer: y=3x−12
Step-by-step explanation:
whats the answer to the question fast!!!
Answer:
The first one and the last one
Step-by-step explanation:
Simplify
7(-3/4x-3)
-21/4x-21
-5 1/4x-21
You will get the same answer if you just simply the last one.
The population of a city decreases by 3.7% per year. If this year's population is 211,000, what will next year's population be, to the nearest individual?
Answer:
20,3193
Step-by-step explanation:
Population decrease per year in city = 3.7%
Current population = 211,000
Next year's population = 211,000*3.7/100
= 7807
= 211,000-7807
=203193
Next year's population= 203193
Therefore, next year's population will be equal to 20,3193.
The next year's population is 203193.
Given that, the population of a city decreases by 3.7% per year.
What is population growth and population decrease formula?If a constant rate of growth be R% per annum, then population after n years = [tex]P(1+\frac{R}{100})^n[/tex].
If the constant decrease in population be R% per annum, then the population after n years = [tex]P(1-\frac{R}{100})^n[/tex].
This year population is 211,000.
Now, [tex]211000(1-\frac{3.7}{100})^1[/tex]
= 211000×0.963
= 203193
Hence, the next year's population is 203193.
To learn more about the population increase and decrease visit:
https://brainly.com/question/27779235.
#SPJ5
.
Lisa bought 6 rainbow and balloon stickers for her little sister. The rainbow stickers cost 9 cents apiece and the balloon stickers cost 1 cent apiece. If Lisa spent exactly 46 cents, how many of each type of sticker did she buy?
Please help me fast!!
If you know how to do this please help me then will give brainliest
Answer:
The required equation is:
[tex]y=\mathbf{-0.271}x+\mathbf{13.876}[/tex]
Step-by-step explanation:
We have x = Distance of goal posts
y = field Goals made
The data given is:
x y
20 9
25 6
30 7
35 4
40 1
45 2
50 1
We need to find the regression equation y = bx + a
Where [tex]b=\frac{SP}{SS_x} \:and\: a=M_y-bM_x[/tex]
Sum of all values of x = 245
Sum of all values of y = 30
Now, calculating mean using formula: [tex]Mean=\frac{Sum\:of\:all|\:values}{Number\:of\:values}[/tex]
Mean of x (Mₓ) = 35
Mean of y ([tex]M_y[/tex]) = 4.28
Sum of squares (SSₓ) = 700
Sum of products (SP) = -190
Now, finding b:
[tex]b=\frac{SP}{SS_x} \\b=\frac{-190}{700}\\b=-0.271[/tex]
Now, finding a:
[tex]a=M_y-bM_x\\a=4.28-(-0.271*35)\\a=13.786[/tex]
So, the required equation is:
[tex]y=\mathbf{-0.271}x+\mathbf{13.876}[/tex]
A car dealership is comparing the sales of two employees. The equation that represents Kevin’s sales is S = 60n-5, where n represents the number of years of employment. Dylan’s sales are displayed in the table below:
Years of Employment (n):
2
6
10
Number of Cars Sold (S)
104
324
544
(n) (S)
2 104
6 324
10 544
Compare the statement below to compare the employees’ rate of change.
greater than, 55, 60, -5, -116, 220, less than, 104, equal to
Kevin’s rate of change is _______. Dylan’s because Kevin sells_______ cars per year employed and Dylan sells ________ cars per year employed.
Answer:
I been trying to look for that answer for so long but can we help each other at least
Answer:
Step-by-step explanation:
We have Kevin's sales equation is
[tex]S=60n-5[/tex]
Step 1
Find out Dylan's sales equation
Find the slope
We need two points
We take
[tex](2,104)[/tex] And [tex](6,324)[/tex]
[tex]m=(324-104)/(6-2)[/tex]
[tex]m=\frac{220}{4} \\m=55[/tex]
Find the equation in slope intercept form
[tex]s=mn+b[/tex]
We have
[tex]m=55[/tex]
point [tex](2,104)[/tex]
Substitute and solve for b
[tex]104=55(2)+b\\[/tex]
[tex]b=104-110\\b=-6\\[/tex]
So
[tex]S=55n-6\\[/tex]
Therefore
Kevin's rate of change is 60
Dylan's rate of change is 55
Compare
Kevin's rate of change is greater than Dylan's rate of change because Kevin's sell 60 cars per year and Dylan's sells 55 cars per year.
PLEASE MARK ME AS BRAINLIEST
math question ???? help
Answer:
a=54
Step-by-step explanation:
EASY
look triangles are 180 degrees
means all 3 sides add to 180
look at 2a and the missing angle they add up to 180
180-(a+10)-44
missing angle is
−a+126
exteriro plus interior angles add up to 180
-a+126+2a=180
solve and simplify
a=54
10) A survey of business students who had taken the Graduate Management Admission Test (GMAT) indicated that students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400. Students who do not spend at least five hours reviewing have a probability of 0.65 of scoring above 400. It has been determined that 70% of the business students spent at least five hours reviewing for the test. a. Find the probability of scoring above 400. b. Find the probability that given a student scored above 400, he/she spent at least five hours reviewing for the test.
Answer:
0.79 ; 0.753
Step-by-step explanation:
Given that:
Students who have spent at least five hours studying GMAT review guides have a probability of 0.85 of scoring above 400 :
≥ 5 hours review = 0.85
Students who do not spend at least five hours reviewing have a probability of 0.65 of scoring above 400
< 5 hours = 0.65
70% (0.7) of business students spend atleast 5 hours review time
A.) probability of scoring above 400
(Proportion who spend atleast 5 hours review time * 0.85) + (Proportion who do not spend atleast 5 hours * 0.65)
Proportion who do not spend atleast 5 hours = (1 - proportion who spend atleast 5 hours) = 1 - 0.7 = 0.3
Hence,
P(scoring above 400) = (0.7 * 0.85) + (0.3 * 0.65) = 0.595 + 0.195
= 0.79
B.) probability that given a student scored above 400, he/she spent at least five hours reviewing for the test.
P(spent ≥5 hours review | score above 400) :
P(spent ≥5 hours review) / P(score > 400)
(0.7 * 0.85) / 0.79
0.595 / 0.79
= 0.753
Central Subs made 27 sandwiches using 12 pounds of turkey. How much turkey was used per sandwich?
Probability. A professor rides his bike to work some days and drives his car on the other days. On any day there is an 80% chance the professor will ride his bike and a 20% chance he will take his car. If the professor rides his bike, there is a 10% chance he will be late. If he takes his car, theres a 5% chance he will be late. 18. What is the probability the professor is late
Answer:
0.09
Step-by-step explanation:
Given :
P(bike) = 0.8
P(car) = 0.2
P(Late given car) = P(Late | car) = 0.05
P(Late given bike) = p(Late | bike) = 0.1
Probability that professor is late :
P(late) = [P(Late | car) * p(car)] + [p(Late | bike) * p(bike)]
P(late) = [0.05 * 0.2] + [0.1 * 0.8]
P(late) = 0.01 + 0.08
P(late) = 0.09