Answer:
a) 3<x<8
b) -4<x<-2
c) -6<x<5
d) -21/4 < x-8/3
e) 0<x<7
Step-by-step explanation:
Given the following inequalities
a) x > 3, 2x - 3 < 15
Solve 2x - 3 < 15
2x < 15+3
2x<18
x<18/2
x<8
Combine x>3 and x<8
If x>3, then 3<x
On combining, we have:
3<x<8
b) For the inequalities 25 > 1 - 6x, 1 > 3x + 7
25 > 1 - 6x
25-1>-6x
24>-6x
Divide through by -6:
24/-6 > -6x/-6
-4 <x
For the inequality 1 > 3x + 7
1-7>3x
-6>3x
-6/3 > 3x/3
-2 > x
x < -2
Combining both results i.e -4 <x and x < -2, we will have:
-4<x<-2
c) For the inequalities 2x - 7<3< 27 + 4x
On splitting:
2x - 7<3 and 3< 27 + 4x
2x < 3+7
2x<10
x<5
Also for 3< 27 + 4x
3-27<4x
-24<4x
-24/4 < 4x/4
-6<x
Combining both solutions i.e x<5 and -6<x will give;
-6<x<5
d) For the inequalities 3x + 8 <0 < 21 + 4x
3x + 8 <0
3x < -8
x < -8/3
Also for 0 < 21 + 4x
0-21<4x
-21<4x
-21/4 < 4x/4
-21/4 < x
Combining -21/4 < x and x < -8/3 will give;
-21/4 < x-8/3
e) For the inequalities 5x - 36 < -1 < 2x – 1
Split:
5x - 36 < -1
5x < -1+36
5x<35
5x/5 < 35/5
x < 7
For the expression -1 < 2x – 1
-1+1 < 2x
0 < 2x
0<x
Combining both inequalities 0<x and x < 7 will give:
0<x<7
What is the quotient of 6 and Negative one-half?
–12
Negative StartFraction 1 over 12 EndFraction
StartFraction 1 over 12 EndFraction
12
Answer:
-1/12
Step-by-step explanation:
Answer: B
Step-by-step explanation: EDGE 2022
I swear to fueledbrightspace, I’m gonna refresh you intil you let me get to my test!
Hi I’m just kinda mad so someone, take these points.
Answer:
Whoa,
Step-by-step explanation:
Thank you so much for the points! hope your day gets better:)
Insurance company executives surveyed 200 young adults about their first motor vehicle. The results of the survey are given in the following two-way table.
A survey participant is randomly selected. Let F be the event that the participant’s first motor vehicle had four cylinders and let C be the event that the participant’s first motor vehicle was a car. What is the value of P(F or C)?
A) 0.59
B) 0.68
C) 0.71
D) 0.80
Answer:
C) 0.71.
Step-by-step explanation:
To find the probability of an event occurring, we need to sum up all the probabilities of the outcomes that satisfy the event. In this case, the event "F or C" is satisfied by all the outcomes in which the participant's first motor vehicle had four cylinders or was a car.
We can see from the table that 118 out of the 200 participants had their first motor vehicle as a car, so the probability of this event occurring is 118/200 = 0.59. Similarly, we can see that the probability of the event "first motor vehicle had four cylinders" occurring is (118 + 4) / 200 = 0.62.
Therefore, the probability of the event "F or C" occurring is the sum of the probabilities of these two events occurring, which is 0.59 + 0.62 = 0.71. The correct answer is therefore C) 0.71.
The value of the probability P(F or C) is 0.80, Option D is correct.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a survey participant is randomly selected.
Let F be the event that the participant’s first motor vehicle had four cylinders and
let C be the event that the participant’s first motor vehicle was a car.
We need to find the value of P(F or C)
The number of P or c is 118+6+18+16+2
=160
The number of people in total are 200.
P(F or C )= 160/200
=0.80
Hence, the value of the probability P(F or C) is 0.80, Option D is correct.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ7
HELPP!! WHAT ARE THE ANSWERS??!
Answers:
1. D2. B===========================================
Explanation:
You could graph these by hand by determining a bunch of points to plot, but that method is a bit tedious and error prone. I recommend using technology. I used GeoGebra which is a graphing program to get the job done. See the attached image below.
The county fair is in town. The cost is $10 for admission and 50 cents for each ride.
You have $20 to spend. Write an inequality that represents the maximum number of
rides you can go on.
Answer:
A.
Step-by-step explanation:
For every ride you, pay an extra 50 cents with a 10 dollars for admission
i think its C becuase it goes perfectly
How many inequalities are in a system of inequalities?
Answer:
5
Step-by-step explanation:
There are five inequality symbols used to represent equations of inequality. These are: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠).
Midland Electronics is advertising that everything in their store is 10% off. If p represents the origin
their store, then the sale price of the item can be represented by the expression p-01p.
A
Write an equivalent expression to represent the sale price of the item.
B. Using complete sentences, describe how the sale price can be found in two different ways.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Sales discount = 10%
If original price of items = p
Hence, the sales price of the item can be represented as :
(100% - percentage discount) * sales price
(100% - 10%) * p
90% * p
0.9p
B.)
(1) By subtracting the offered percentage discount (10%) from the full percentage cost (100%) and then multiplying the result by the original cost of the item.
(11.) by obtaining discount amount (10% of the original price) , and then subtracting the discounted amount from the original price of the item.
Determine which function produces the same graph as fx (x) = (8 2/3 x ) (16 1/2 x ). f(x) = 4x f(x) = 42x f(x) = 83x f(x) = 162x
The function that produces the same graph is [tex]f(x) = 4^{2\ x}[/tex]
An exponential function is represented as:
[tex]f(x) =ab^x[/tex]
Where:
a represents the initial valueb represents the rateSo, by comparison:
The initial value of the function is 1The rate of the function is 4^2 or 16See attachment for the complete solution
Hence, the function that produces the same graph is [tex]f(x) = 4^{2\ x}[/tex]
Read more about functions and graphs at:
https://brainly.com/question/13136492
Can someone help me hurry?
What is the slope of the line y = 5x? Just write the
number for your answer.
Answer:
5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
y = 5x
Step 2: Break Function
Identify Parts
Slope m = 5
y-intercept b = 0
Please help! I will give brainliest (or however you spell it) to whoever gives me the answer!
Answer:
CDF is scaled down by a factor of 1/2 of ABC
Step-by-step explanation:
Answer:
AAA (angle angle angle) property.
Step-by-step explanation:
Maroon angle x in the first triangle is equal to the the Maroon angle x in the second triangle and the Orange angle y in the first triangle is equal to the Orange angle y in the second triangle with respect to the property of corresponding angles, and the third angle is 90° which is common between the two triangles hence AAA property is applied because all three angles are similar.
The Gross National Product (GNP) is the value of all the goods and services produced in an economy, plus the value of the goods and services imported, less the goods and services exported. During the period 1994-2004, the GNP of Canada grew about 4.8% per year, measured in 2003 dollars. In 1994, the GNP was $5.9 billion.
Assuming this rate of growth continues, in what year will the GNP reach $10 trillion?
a 2164
b 2103
c 2168
d 2153
Ice cream costs $1.99 per container. At a tax rate of 4.75%, estimate the final cost of the
ice cream.
Answer:
The final cost of ice-cream container is: 2.09 dollars
Step-by-step explanation:
In order to find the price of an item after adding tax the tax is found on the price of the item and then added to the cost.
Given
Price of ice cream container = $1.99
Tax Rate = 4.75%
The amount of tax t will be:
[tex]t = 4.75\%\ of\ 1.99\\= 0.0475*1.99\\=0.094525[/tex]
Rounding off to nearest hundredth
t = 0.10
The final cost is given by:
[tex]Final\ cost = Cost + tax\\= 1.99+0.10\\=2.09[/tex]
Hence,
The final cost of ice-cream container is: 2.09 dollars
when a three-dimensional figure is exended infinitely in all directions,which of the following best describes what is formed?
Answer:
2
Step-by-step explanation:
You have saved $40 for a video game and your parents will contribute some money. They said they will give you $1 for every $4 you save. How much have they contributed
Answer:
They contributed $8
Step-by-step explanation:
Given
[tex]Savings = \$40[/tex]
Proportion of savings: [tex]Parent = \$1[/tex] [tex]You = \$4[/tex]
Required
Determine your parent contribution
From the question, we understand that, they contribute $1 when you save $1.
This means that the unit savings is:
[tex]Unit = \$4 + \$1[/tex]
[tex]Unit = \$5[/tex]
The parent contribution is then calculated as:
[tex]\frac{Parent\ Proportion}{Unit\ Savings} * Total\ Savings[/tex]
[tex]= \frac{\$1}{\$5} * \$40[/tex]
[tex]= \frac{1}{5} * \$40[/tex]
[tex]= \frac{1* \$40}{5}[/tex]
[tex]= \frac{\$40}{5}[/tex]
[tex]= \$8[/tex]
Hence, they have contributed $8
PLEASE help me (30 points!!!!!!) I will give brainliest so please help me please
An investment grows according to the function A=P(1.05)t where P represents the initial investment, A represents the value of the investment and t represents the number of years of investment. If $10,000 was the initial investment, how much would the value of the investment be after 10 years to the nearest dollar?
Answer:
105,000 dollars
Step-by-step explanation:
According to your formula, we just mulitply 10,000 times 10 times 1.05 and we get 105,000.
Solve the system of equations.
10y + 7x = 29
- 5y - 9x = 2
X=
Y=
Answer:
y=1.5
x2
Step-by-step explanation:
Which number can be added to rational number to explain that the sum of two rational numbers is rational
Answer:
Another rational number
Step-by-step explanation:
Here, we want to get the type of number that should be added to a rational number to explain that the sum of two rational numbers is rational
What we simply have to do here is to add another rational number to the rational number we have already
By adding another rational number to the rational number we have, we will get another rational number
That has successfully proven what we are trying to prove
Help! I will give brainliest!
Write a positive or negative integer that represents the situation.
A hiker climbs 900 feet up a mountain.
The integer___represents the situation.
Answer:
+900 ...................
3.5.PS-9
Question Help
Think About the Process Karen purchased a DVD player on sale. The original selling price was
$179.30. The sale price was $153.02. What is the first step in finding the percent markdown? Find
the percent markdown.
Answer:
The first step is to subtract the sale price from the original sale price. The percent markdown is 14.7%
Step-by-step explanation:
Subtract sale price from original sale price:
$179.30 - $153.02 = $26.28
Find what percent equals $26.28 of 100% of the original sale price:
$26.28 * 100 / $179.30 = 14.7%
y = -2x + 7 and y = 3x – 8
Answer: x=3 and y=1
I'm not sure if that's the answer you wanted.
PLEASE PLEASE HELP I WILL GIVE BRAINALIST AND EXTRA POINTS
Answer:
6
Step-by-step explanation:
Rachel's cost = $35x + $15
Taylor's cost = $25x + $75
When are the costs equal? Rachel's cost = Taylor's cost?
35x + 15 = 25x + 75
35x - 25x = 75 - 15
10x = 60
x = 6
Check Rachel's 6 month cost is: 35 x 6 + 15 = 225
Check Taylor's 6 month cost is 25 x 6 + 75 = 225
If D is the midpoint of BA, and E is the midpoint of BC, What is there formal geometric name for DE in ABC?
Answer:
hmmmmmmmmm...
Step-by-step explanation:
Need help with this if anyone can
9514 1404 393
Answer:
7.0
Step-by-step explanation:
The relationship of interest is ...
Tan = Opposite/Adjacent
tan(25°) = x/15
x = 15·tan(25°) ≈ 6.9946
x ≈ 7.0
What is one tenth less than 0.7 in decimal form
Answer:
0.6
Step-by-step explanation:
one tenth is
[tex]\frac{1}{10}=0.1[/tex]
so we subtract
[tex]0.7-0.1=0.6[/tex]
The stock of Company A gained 3% today to $31.93. What was the opening price of the stock in the beginning of the day?
Answer:
$31
Step-by-step explanation:
100% + 3% --- $31.93
103% --- $31.93
100% --- [tex]\frac{100}{103}[/tex] × $31.93 = $31
I need help with Geometry
simplify: 3a+4b+5a+10b
honestly don't understand this at the moment
Answer:
Let me try...
Step-by-step explanation:
let's combine like terms first to simplify the equation
we need to only combine the variables with the same variable.
3a+5a would make 8a
and 4b+10b would be 14b
but we cannot combine 8a and 14b
so the equation remains as 8a+14b
Final Answer: [tex]8a + 14b[/tex]
Steps/Reasons/Explanation:
Question: Simplify [tex]3a + 4b + 5a + 10b[/tex].
Step 1: Collect like terms.
[tex](3a + 5a) + (4b + 10b)[/tex]
Step 2: Simplify.
[tex]8a + 14b[/tex]
~I hope I helped you :)~
Farmer sold 35% of its peaches and had 280 remaining. How many did he have to start
Answer:
430 peaches
Step-by-step explanation:
Calculation for How many Peaches did he have to start
Using this formula
Peaches at hand=Remaining Peaches/(100%-Percentage of peaches sold)
Let plug in the formula
Peaches at hand=280/(100%-35%)
Peaches at hand=280/65%
Peaches at hand=430 peaches
Therefore the numbers of Peaches he have to start with is 430 peaches
I need help!!!ASAP if you can help that would be great
Answer:
6^-6 and 1/6^6
Step-by-step explanation:
Note that (n^a)/(n^b) = n^(a-b) and n^-a = 1/n^a
Therefore, 6^-10/6^-4 = 6^(-10+4) = 6^-6 = 1/6^6
We have our answer: 6^-6 and 1/6^6
I hope this helps! :)