Answer:
[tex]{f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]
Step-by-step explanation:
[tex]f(x) = - 5x - 11 \\ - 5x - 11 =x \\ - 5x = x + 11 \\ {f}^{ - 1}(x) = \frac{x + 11}{ - 5} [/tex]
Water is draining from an aquarium at a rate of
3 gallons per minute. Write a multiplication expression using integers to show the total change to the amount of water in the aquarium after 45 minutes of draining. Then determine and explain that amount.
135 gallons of water in the aquarium after 45 minutes of draining.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that water is draining from an aquarium at a rate of 3 gallons per minute.
The total change in the amount of water in the aquarium after 45 minutes of draining is as:
⇒ 45×3
Apply the multiplication operation in the integers,
⇒ 135 gallons
Hence, 135 gallons of water in the aquarium after 45 minutes of draining.
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Pls help 100 points
Consider this dilation.
(a)
Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b)
What is the scale factor? Explain.
The letters M,S,V are the original image.
The letters M’, S’, V’ are the displayed image.
You can see that M’, S’,V’ is a smaller image, so it was a reduction.
The length of line MS is 9 units.
The length of M’S’ is 6 units.
The dialation is 6/9 = 2/3
Answer:
(a) reduction
(b) 2/3
Step-by-step explanation:
(a) The original figure is called ΔMSV, while the dilation is called ΔM'S'V'. Because we can see that M'S'V' is clearly much smaller than MSV, we know that the image is a reduction of the original.
(b) We simply need to find the ratio of one side of M'S'V' to one side of MSV. Look at M'S': the length is just 4 - (-2) = 6 (this is because it's a completely horizontal line). The length of MS is 6 - (-3) = 9.
So, the scale factor is: 6 / 9 = 2/3.
In a 5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more miles on her car than he does in the same amount of time. How many total miles will they put on their cars in 28 work days?
A. 1560
B. 2520
C. 2780
D. 2940
ASAPPPPP
Answer:
A. 1560
Step-by-step explanation:
5-day work week, Matt puts 175 miles on his car. His wife, Sarah, puts 100 more and 28 work days
Find the distance between (5,2) and (5,0). PLEASE HELP!!
Answer:
Its 2 bro
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
use the distance formula
y2-y1
_____
x2-x1
2-0
___
The cost of a shirt is $56. There is a markup of 18%
for the store. Wha t will be the cost of the shirt in the
store?
Answer:
66.08
Step-by-step explanation:
First find the markup
56 * 18%
56*.18 =10.08
Add this to the original price
56+10.08
66.08
This is the cost in the store
Answer:
$66.08
Step-by-step explanation:
18% of 56= 10.08
56+10.08=66.08
hope this helps :)
An experiment consists of randomly selecting a square from the board.
Part A
Find the probability of choosing a star.
A. 1/16
B. 1/8
C. 1/4
D. 1/2
Part B
Find the probability of choosing a triangle or a blank square.
A. 3/4
B. 1/2
C. 1/4
D. 1/16
Answer:
1/4 and 3/4.
Step-by-step explanation:
if you add all of the squares chosen and divide it by 16, you get the answer. Then reduce the fraction.
The box plot shows the number of years during which 16 schools have participated in a marching band competition: At least how many schools have participated for 3 to 7 years? (4 points) Group of answer choices 3 schools 5 schools 7 schools 8 schools
Answer:
I believe its 7 schools, i might be wrong. What quiz is it?
Step-by-step explanation:
35 - (-8) find the difference
Answer:
43
Step-by-step explanation:
negative + negative = positive
with that rule, you change the - to a +.
35 + 8 = 43
For the given circle, find the value of x
Answer:
230
Step-by-step explanation:
the angle 115 is half of that arc
Solve 7^ x-1 = 49 ^4-x
Answer:
Step-by-step explanation:
Find the area. Will mark brainliest.
Answer:
216
Step-by-step explanation:
I think that it is 216 because if you add 18 and 10 you get 28 then multiply 28 by 12 then you get 336. Then you will find the area of the unshaded part which is 120. Then you will subtract 120 from 336 to get 216.
Hope this helps
3/10
There is a group of tourists going to a museum. The group
consists of several adults and one child. A ticket for an adult
costs 10 dollars and one for a child costs 5 dollars. If the cost of
all tickets came to a total of $125, how many adults are there in
this group?
adults
Answer:
12 adults
Step-by-step explanation:
If a child ticket costs 5 dollars
then 125-5=120
120 divided by 10(the cost of each ticket for an adult)
12
So there are 12 adults
Answer:
12 adults
Step-by-step explanation:
125 - 5 = 120 (this is subtracting the child from the equation)
120 / 10 = 12
is the square root of 9/16 a irrational number helpppppppppppppppppppppp
Answer:
No, it isn't. The answer is 0.75
Step-by-step explanation:
The square root of 9/16 is not a irrational number
How to determine the type of the numberFrom the question, we have the following parameters that can be used in our computation:
The square root of 9/16
When evaluated, we have
The square root of 9/16 = 3/4
The above number is represented by the quotient of 2 integers
using the above as a guide, we have the following:
We can conclude that the number is a rational number
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What are the solution(s) of the quadratic equation 98 - x2 = 0?
x = +27
x= 163
x = 17/2
no real solution
Answer: it’s c
Step-by-step explanation:
Harold collected data on the daily high temperature in two cities over a period of one week.
He analyzed the data and found the measures below. Which statement is true, based on
these measures?
City Median Temperature Range from Median
Carlton
75°F
5 degrees
Borden
88°F
5 degrees
The daily low temperatures for the two cities were 70°F and 83°F.
Borden had at least one daily high temperature of 98°F.
The temperature in Carlton was always cooler than in Borden.
The difference between the daily high temperature for the two cities was 13 degrees.
The following statement is true with the given values of median and range.
The temperature in Carlton was always cooler than in Borden.
Median and rangeThe median is the middle number in a sorted ascending or descending list of numbers. The range is the difference between any two numbers.
How to find the median and the range?Check the trueness of each statement with the given table.
First statement-The daily low temperatures for the two cities were[tex]70^{0}F[/tex] and [tex]83^{0}F[/tex].Lowest temperature over a week [tex]=[/tex] Median - Range
Thus, for Carlton, it is [tex](75-5)=70^{0}F[/tex] and for Borden it is [tex](88-5)=83^{0}F[/tex]
So, this statement is not true.
Second statement-Borden of at least one daily high temperature of [tex]98^{0}F[/tex]At least one daily high-temperature [tex]=[/tex] Median + Range
For Borden, it is [tex](88+5)=93^{0}F[/tex]
So, 2nd statement is not true.
Third statement-Temperature in Carlton was always cooler than in Borden.For Carlton, at least one daily highest temperature (75+5)=[tex]80^{0}F[/tex]
For Borden, at least one daily lowest temperature [tex](88-5)=83^{0}F[/tex]
Borden's lowest temperature [tex]83^{0}F[/tex] was even more than Carlton's highest temperature [tex]80^{0}F[/tex].
So, the 3rd statement is true.
Fourth statement-The difference between the daily high temperature for the two cities was [tex]13^{0}F[/tex].If the high temperature for Carlton for one day is [tex]80^{0}F[/tex] and for Borden [tex]83^{0}F[/tex], which is within the given range, then the difference is only [tex]3^{0}F[/tex].
So, the 4th statement is also not true.
Hence, the temperature of Carlton was always cooler than in Borden is the true statement.
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Tell whether the ordered pair ( -2, -2) is a solution of the system of linear equations.
2x - y = -2
x - 2y = 2
Answer:
Yes, the ordered pair (-2,-2) is a solution of the system of linear equations.
Step-by-step explanation:
Plug in the x and y value in to the equation and see if the equation is true or not.
Yes, the given ordered pair is the solution of the given system of linear equation.
What is the system of linear equation?
Systems of equations are used to solve applications when there is more than one unknown and there's enough information to set up equations in those unknowns.
Given is a system of lineae equation,
2x-y = -2
x-2y = 2
Putting x = -2 and y = -2 in 2x-y = -2, we get,
2(-2)-(-2)
-4+2 = -2
LHS = RHS
Again, Putting x = -2 and y = -2 in x-2y = 2, we get,
-2-2(-2) =
= -2+4 = 2
LHS = RHS
Since, the ordered pair satisfying the equations.
Hence, Yes, the given ordered pair is the solution of the given system of linear equation.
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HELP
Explain and show how to find the measurement of angle x and y. Use the word complementary in your explanation.
Answer:
i believe the answer for X is 25 and Y is 65
Step-by-step explanation:
what i did could be completely wrong but meh anyways if one shape has to add up to 180 degrees you find D which is 90 then add A which is 65 subtract that from 180 and you get your answer for the far left shape. now to find the Y angle subtract 25 from 90 and you get 65 and you already know there is a 90 degree angle so add the subtract that from 180 and then you get 25. also they are the same angles on both shapes just different sizes. i hope i got it right and if i did i hope i helped. =)
Samira is playing a game with the spinner shown. a. What is the theoretical probability that the pointer will land in a section labeled with the letter A on a given spin? Enter as a fraction. b. Predict how many times the pointer will land in a section labeled with the letter A after 300 spins. J J O S H U A A K E a. The theoretical probability that the spinner will land on a section labeled A is . (Type an integer or a simplified fraction.)
Answer:
A. 1/5
B. 60 times
Step-by-step explanation:
The theoretical probability that the pointer(a) is 1/5 and the pointer will land in a section labeled with the letter A after 300 spins (b) is 60
We have given that the Samira is playing a game with the spinner shown.
We have to deterine the theoretical probability that the pointer will land in a section labeled with the letter A on a given spin.
What is the probability of spinner?This probability is equal to the amount of '1's divided by the total amount of numbers on the spinner.
Thus,The theoretical probability that the spinner is 1/5.
and also the pointer will land in a section labeled with the letter A after 300 spins.
Therefore we get,
[tex]1/5\times 300/1=300/5=60[/tex]
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ASAP! PLEASE HELP. What is the measure of BCD?
Answer:
(5x)°
Step-by-step explanation:
Vertical angles.
Please mark as Brainliest! :)
Have a nice day.
FIND the Perimeter of this composite figure.
Answer:54
Step-by-step explanation:54
Katrina is asked to simplify the expression Negative 3 a minus 4 b minus 2 (5 a minus 7 b).
She writes: Negative 3 a minus 4 b minus 2 (5 a minus 7 b) = negative 3 a minus 4 b minus 10 a + 14 b
Which property allows her to do this?
the associative property
the commutative property
the distributive property
the additive identity property
Answer:
Distributive property
Step-by-step explanation:
Distributive property allows you to multiply a(b+c) as ab + ac.
The property which allows her to do this solution is; Distributive property
What is distributive property?The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
We are given that Katrina is asked to simplify the expression Negative 3 a minus 4 b minus 2 (5 a minus 7 b).
She writes:
= -3 a - 4 b - 2 (5 a -7 b)
= - 3 a - 4 b -10 a + 14 b
Using distributive property
Distribute the negative;
-3a-4b-10a+14b
Solve the like terms;
-3a-10a-4b+14b
-13a+10b.
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HELP ASAP FIRST CORRECT GETS BRAINLIEST
Answer:
Right
Step-by-step explanation:
Answer: the first one is x less than 468 and the second one is and open circle at 468 and the third one is go left
Step-by-step explanation:
it would be a open circle if it wasnt a line under it and it would move the oppisite which is the left
Sage wants to order an ice-cream sundae.
The ice-cream parlor allows customers to
choose from 10 ice-cream flavors, 4 sauces,
and 4 toppings. How many combinations of
ice-cream sundaes could Sage choose from?
Enter the correct answer.
DONE
find the radius of a right cylinder with the volume of 2000 cubic meters and a height of 11 meters round your answer to the nearest hundredth
Answer:
12
Step-by-step explanation:
Answer:
Right cylinder
Solve for radius
r≈7.61m
h Height
11
m
V Volume
2000
m³
Step-by-step explanation:
What is the solution to the system of equations?
7x-2y = -24
5x+ 5y = 15
(2, 5)
(-2,5)
(-2,-5)
(2,5)
Answer:
-2,5
Step-by-step explanation:
Given: m∠ABC = 50°,
AC = 30
Find: OA
Answer:
OA = 19.58
Step-by-step explanation:
If we draw the segments OA and OC, we will have an isosceles triangle OAC.
With the property of inscribed angles and central angles that are related to the same arc of the circunference, we have:
mAOC = 2 * mABC
mAOC = 2 * 50 = 100°
As the triangle OAC is isosceles, we have that mOAC = mACO.
Knowing that the sum of internal angles of a triangle is 180°, we have:
mACO + mOAC + 100 = 180
2 * mACO = 80
mACO = 40°
Now, using the law of sines, we have:
OA / sin(ACO) = AC / sin(AOC)
OA / 0.6428 = 30 / 0.9848
OA = 30.463 * 0.6428 = 19.58
A human blinks 9,460,800 times per year. A dog blinks 1,861,440 times per year. About how many more times does a human blink than a dog?
A. 2
B. 8
C. 10
D. 5
Sorry, I can't change the number of points you get.
Please answer this fast I need it!
Answer:
The answer is D.
Step-by-step explanation:
In order to find how many times human blink more than the blink of a dig, you have to divide it :
[tex]9460800 \div 1861440[/tex]
[tex] = 5 \: times[/tex]
At the end of the school year a school system has a table with the total absences and tardies in its 10 schools what is the best way to display these data?
A. Bar Graph
B.Circle Graph
C. Stem and leaf plot
D.Ogive graph
Answer:
A
Step-by-step explanation:
If Jay has an 85 average over four exams, what would his average need to be on his
last two exams to bring his average up to an 88?
Answer:
91 average for his next exams
Step-by-step explanation:
he has an 85 right now. if he gets a 91 then his overall average will be an 88 like he wanted.
(this is how u find average) ( add them together then divide it by how many numbers there are)
85+91=176
176/2= 88
therefore the average on his next 2 exams must be
91
hope this helps! <3
whats the mean absolute deviation of 1, 3, 2, 2, 1, 3, 3, 1
Answer:
Mean Absolute Deviation (MAD): 0.75
Step-by-step explanation:
Total numbers: 8
Mean: 2
Mean absolute deviation: 0.75