Answer:
[tex]\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex]
Step-by-step explanation:
Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:
In order to solve for the average rate of change, we could simply use the average rate of change formula:
Average rate of change = Change in output/Change in input
[tex]\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}[/tex]
Let (x₁, y₁) = (61, 2002)
(x₂, y₂) = (71, 2014)
Substitute these values into the average rate of change formula:
[tex]\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}[/tex]
[tex]\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex].
Simple problem pls help
Nia solved the equation -1.98 = 5.2 v + 13.1. Her answer was v = -2.9. She is fairly confident about her answer, but wants to do a quick check of her solution using estimation to make sure her answer is reasonable.
Which of the following shows a good check of her answer?
-2 = 5(-2) + 13
-1 = 5(-2) + 13
-3 = 5(-2) + 13
-2 = 5(-3) + 13
Answer:
you can obviously round the -2.9 to -3, check they distributed -3 to one and thats the answer!
The ratio of men to women working for a company is 5 to 7. If there are 196 women working for the company, what is the total number of employees?
employees
Answer:
336 employees
Step-by-step explanation:
Hi there!
We're given:
Ratio of men to women ⇒ 5:7
Number of women in the company ⇒ 196
1) Solve for the number of men in the company
Set up a proportion
[tex]\displaystyle \frac{5}{7} = \frac{x}{196}[/tex] where x is the number of men working at the company
Multiply both sides by x
[tex]\displaystyle \frac{5}{7} *196= x\\\\x=140[/tex]
Therefore, there are 140 men working at the company.
Now, we know that there are 140 men and 196 women working at the company. Assuming that they are the only people who work there, the total number of employees is 140 + 196 = 336.
I hope this helps!
Answer:
336 total employees
Step-by-step explanation:
divide women by their respective ratio to get unit multiplier
196÷7=28
add the 2 numbers in the ratio to get both men and women
7+5=12
multiply everyone by unit multiplier
12(28)
336
How many odd numbers from 2000 and 6666 (including 2000 and 6666 itself) that all the numbers are different?
Answer:
That's is not Different
Step-by-step explanation:
Including to 2000 and 6666 itself is not Different
The table shows a proportional relationship between x and y what is the unit rate of y per x ( 4, 5 , 6 , 7 ) (8 , 10 , 12 , 14 ) ?
Answer:
6
Step-by-step explanation:
HELP ME OUT PLEASE
Use the data to create a scatter plot.
Answer: The scatterplot is shown below.
Explanation:
Each row in the table represents a different (x,y) point.
For example, the first row says that x = 2 and y = 1. We'll have a point at (2,1) on the graph. This means we start at the lower left corner which is the origin. Then we move 2 units to the right and 1 unit up to arrive at (2,1). The other rows are handled in a similar manner to get what you see below. The points are not connected with any line or curve. The labeling of A,B,C, etc is optional. I did it to help keep track of all the points in the table.
Part 2 out of 2
Heather's mom says that they would save more than $100 if they buy tickets for their family on opening
weekend. Do you agree or disagree with Heather's mom? Complete the explanation of how to find how
much they would save.
You ? v with Heather's mom.
The regular price tickets would cost them $80 x 4 people, which equals $
The discounted tickets would cost them $ * 4 people, which equals $224.
To find the difference subtract the discounted tickets total $224 from the regular price tickets total $
which equals $
They would save
which is less than $100.
Next
✓ Check
Next
? A
А
Question 18 of 21
Answer:
i agree I can't really explain why though sorry
Heather's mom's estimation is wrong, as they will only save $96.
What is a percentage?A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.
Given that, The special price for the amusement park ticket costs $56. This is 70% of the regular price, Heather's mom says that they would save more than $100 if they bought tickets for their family on opening weekend.
Let the original price of the ticket be x,
70% of x = 56
x = 56x100/70
x = 80
That means, the regular price is $80
On a regular day, ticket will cost = 80x4 = $320
On the special ticket price cost = 56x4 = $224
The saved priced = 320-224 = $96
Hence, Heather's mom's estimation is wrong, as they will only save $96.
For more references on percentage, click;
https://brainly.com/question/29306119
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A large drink dispenser used at a school field day holds 640 ounces of lemonade. How many glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces?
Answer:
80 glasses
Step-by-step explanation:
640/8 = 80
Answer: 80 glasses
There are 80 glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces.
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
A large drink dispenser used at a school field day holds 640 ounces of lemonade.
Now,
Find the number of glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces as;
= 640 ÷ 8
= 80
Thus, There are 80 glasses of lemonade can be poured from the dispenser if each glass holds 8 ounces.
Learn more about the divide visit:
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whats 3/16 divided by 12
Answer:
0.015625
Step-by-step explana
The difference of x and 8 is at least - 17.
I need helppp
Answer:
x - 8 < -17
8. 8
x > -9
Step-by-step explanation:
make sure to put a Line under the sign srry
A large Internet provider conducted a survey of its customers. One question that it asked was how many e-mail messages the respondent had received the previous day. The mean number was 13.2. A. What is the research question of interest for this survey
Answer:
Glee
Step-by-step explanation:
please answer numbers 1-5 i need them soon
Answer:
Step-by-step explanation:
1) 1. AB ≅ CD Given
2. AD ≅ CB Given
3 . BD ≅ BD Reflexive property
4. ΔABD ≅ ΔCBD S S S congruent
2) 1. GH // JK Given
2. ∠HGJ ≅∠KJG Given
3. GH ≅ JK Given
4 . GJ ≅ GJ Reflexive property
5. ΔHGJ ≅ ΔKJG S A S congruent
3) ΔJNK ≅ ΔMNL SSS congruent
JK = ML CPCT
JK = 160 ft
4) ΔRPS ≅ ΔTQS A A S congruent
RS ≅ TS
RS = 85 m
5)ΔDEF ≅ΔGHJ
GJ = DE {CPCT}
6x - 13 = 3x + 2
6x = 3x + 2 + 13
6x = 3x + 15
6x - 3x = 15
3x = 15
x = 15/3
x = 5
HJ = 5x = 5*5 = 25
Multiply: (3x + 2)(4x + 2)
7 x2 + 12 x + 4
12 x2 + 14 x + 4
3 x2 + 4 x + 2
12 x2 + 18 x + 2
Answer:
12x²+14x+4
Step-by-step explanation:
(3x+2)(4x+2)
you will coil, multiply first term from the first bracket with the 1st term of the second bracket, and again with the 2nd term of the second bracket
do the same with the 2nd term of the first bracket, you will get the following
12x²+6x+8x+4
12x²+14x+4
Help please I’ll give points help help help help
Answer:
my sample ka
Step-by-step explanation:
bigyan mu ako para masagot ko ang tanong nayan.
In his free time. Gary spends 8 hours per week on the internet. and 11 hours per week playing video games. If Gary has 5 hours of free time per day, approximately what percent of his free time is spend on the internet and playing video games
54%
18%
38%
4%
Answer:
54%
Step-by-step explanation:
freetime total in 1 week
7=5*7=35
(videogames+internet)/totaltimeperweek=(8+11)/35=19/35≈.542857143≈54%
the answer is 54%
Pls help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
numbers are 24 and 210
Step-by-step explanation:
the number are : 24(2x2x2x3) and 210 (3x2x5x7)
GCF of 24 and 210 is 6
LCM of 24 and 210 is 840
9514 1404 393
Answer:
a. numbers: 24, 210
b. GCF = 6
c. LCM = 840
Step-by-step explanation:
The number each circle represents is the product of the factors in that circle:
red circle: 2×2×2×3 = 24
blue circle: 2×3×5×7 = 210
The numbers represented in the diagram are 24 and 210.
__
The GCF is the product of the common factors--the factors in the portion of the diagram where the circles overlap:
GCF = 2×3 = 6
__
The LCM is the product of all of the factors shown in the diagram:
LCM = 2×2×2×3×5×7 = 840
_____
Additional comment
I personally find this a nice way to represent two numbers, their GCF, and their LCM. Note that there cannot be any numbers in the red (only) part of the diagram that are also in the blue (only) part of the diagram. Any common factors belong in the overlap portion of the diagram.
This diagram makes it easy to see that the LCM is the product of the numbers, divided by their GCF. (The product of the two numbers will have the center portion of the diagram appear twice in the product. It only appears once in the LCM.)
HELP PLSSSSSSSSSSSSSS
Answer:
120
Step-by-step explanation:
Answer:
x=17.7
Step-by-step explanation:
Pythagorean theory
a²+b²=c²
16²+7.5²=c²
256+56.25=c²
√312.25=√c²
c=17.7
the given number line shows the solutions to which inequality
A)x + 4 ≥ 5
B)x – 2 > 7
C)x – 3 ≥ 6
D)x – 1 ≥ 8
—————————-
C) x – 3 ≥ 6
Solving this inequality by adding 3 on both sides, we get
x ≥ 9 which is shown on the number line
Travel agents collected data from recent travelers about their modes of transportation for their vacations, They found that 37% traveled by airplane, 8% traveled by train, and 7% traveled by airplane and train. Let A be the event that the mode of travel was airplane and let T be the event that the mode of travel was train.
Using Venn probabilities, it is found that the probability is [tex]P(A \cap T^{c}) = 0.3[/tex]
In this problem, the events are:
Event A: Traveled by airplane.Event T: Traveled by train.Event [tex]T^{c}[/tex]: Did not travel by train.The desired probability is:
[tex]P(A \cap T^{c}) = P(A) + P(T^{c}) - P(A \cup T^{c})[/tex]
The probabilities are:
37% traveled by airplane, hence [tex]P(A) = 0.37[/tex]8% traveled by train, hence [tex]P(T^c) = 1 - 0.08 = 0.92[/tex]37% traveled by airplane, 62%(100 - [37 + 8 - 7]) did not travel, hence [tex]P(A \cup T^c) = 0.37 + 0.62 = 0.99[/tex]Then:
[tex]P(A \cap T^{c}) = P(A) + P(T^{c}) - P(A \cup T^{c})[/tex]
[tex]P(A \cap T^{c}) = 0.37 + 0.92 - 0.99[/tex]
[tex]P(A \cap T^{c}) = 0.3[/tex]
A similar problem is given at https://brainly.com/question/24707032
Answer:
B: .30
Step-by-step explanation:
edg 2021
Add 1, multiply by 2. 2 First
Answer:
2+1×2=6
6+1×2=14
14+1×2=30
And so on
Multiply (4-5i)(4+i)
Answer:
this is the correct answer happy
Number 8 need asappp!!!!
Step-by-step explanation:
Angle A + Angle B = 180
x-34+x+58=180
2x+24=180
2x+24-24=180-24
2x=156
/2 /2
x=78
To solve for Angle B, fill x as 78
58+78
Angle B is 136
The population in millions of a city t years after 1990 is given by the equation p(t) = 2.9+0.08t in this function
Answer:
The answer would be 2.9 million is the population of the city in 1990 and 0.08 million is the increase per year in the population.
Hope it help and if it its correct please give brainliest
Stay Safe And Healthy
Thank You
7 Convert 34.5 degrees Celsius to
7)
Farenhet using the formula a
1.F
'F=(9 15) ic +32one
b) or
C) 32.05 h
be
d) 94.1
ut
ta) 62.1
Answer:
94.1 °F
Step-by-step explanation:
The formula is ...
F = 9/5C +32
Using 34.5 for C, we get ...
F = 9/5(34.5) +32 = 62.1 +32 = 94.1
34.5 °C = 94.1 °F
Celia's scores in the 5 quizzes Math are 18,12,15,19. What is her average score in Math?
d. 18
a. 15
c. 17
b. 16
Step-by-step explanation:
(18+12+15+19)÷5
64÷5
15
Simplify the following and write your answer in simplest radical form: Multiply the polynomials
25a² + 10ab² + b²
X.................5a + b²
________________
Answer:
Step-by-step explanation:
125a³ + 50a²b² + 5ab² + 25a²b² + 10ab⁴ + b⁴
125a³ + 75a²b² + 5ab² + 10ab⁴ + b⁴
Four candy stores are competing with each other. Which
store offers the best buy for candy?
A.) Sweet Store: 12 pack for $3.00
B.) Delicious Treats: 22 pack for $4.62
C.) Sugar Factory: 18 pack for $5.40
D.) Chocolate Shop: 36 pack for $7.20
Answer: The Chocolate shop
Step-by-step explanation:
We should get the cost per one pack for each store.
For the Sweet Store we divide 3.00 by twelve for the cost of one which is:
3 divided by 12 = 0.25
One pack at a sweet store is $0.25
Now do the same for the other stores:
4.67 divided by 22 = 0.21 (Rounded to 2 decimal points)
5.40 divided by 18 = 0.3
7.20 divided by 36 = 0.2
Sweet Store: one pack is $0.25
Delicious Treats: one pack is $0.21
Sugar Factory: one pack is $0.30
Chocolate Shop: one pack is $0.20
Therefore the Chocolate shop is giving you the best deal since each pack is cheaper.
fkjlfljkfleruhgowjfgwklgnerql;ng;
Answer:
THX for points XD
Step-by-step explanation:
What is the smallest whole number that is a multiple of 5, 9, and 12?
Answer:180
Step-by-step explanation:
you start by finding the prime factorization of the number
5=1*5
9=3*3
12=2*2*3
the shortest way to find the factors is to find is most of them like example, at max, there are 2 two's, 2 three's and 1 five then you multiply them all together
4*9*5=180 and that's the answer
Answer:
180
Step-by-step explanation:
PLS ILL GIVE BRAINLIEST!!!!
Answeryawa ka
Step-by-step explanation: