Step-by-step explanation:
A total of 96 dogs and cats were taken to a veterinarian's office last week. The ratio of dogs to cats was 3:5.
3x + 5x = 96
8x = 96
8x/8 = 98/8
x = 12
The ratio is 3 to 5 so:
dogs = 12 * 3 = 36
cats = 12 * 5 = 60
Answer: There are 36 dogs and 60 cats.
Short answer please ASAP
The lateral surface area of the rectangular prism given in the picture is 36 cm ²
How to find the lateral surface area of a rectangular prism ?The lateral surface area of a rectangular prism can be found by the formula :
= 2 x height x ( Length + Breadth )
Height = 2 cm
Length = 3 cm
Breadth = 6 cm
The lateral surface area is therefore:
= 2 x 2 x ( 3 + 6 )
= 4 x 9
= 36 cm ²
In conclusion, the lateral surface area is 36 cm ².
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as the distance from the nucleus (bullseye) increases, what happens to the probability of finding an electron (marble)?
Answer:
the probability becomes less
Step-by-step explanation:
What number is equivalent to
7 x 1,000,000,000 + 5 x 1,000,000 + 9 x
10,000+ 9 x 100 + 7 x 1?
A. 75,997
B. 759,971
C. 7,509,907
D. 7,005,090,907
Answer:
D
Step-by-step explanation:
7 x 1,000,000,000 + 5 x 1,000,000 + 9 x 10,000+ 9 x 100 + 7 x 1
=7,000,000,000
+ 5,000,000
+ 90,000
+ 900
+ 7
answer is D
soooo umm I don't know?
Answer: The last option would be correct p= 75 + 5a. The reason being the last option is the right one is because the expression represents the additional points plus her original 75 she had on her homework assignments.
HELP pls will mark you the brainliest.
Answer: (-3, -1/2)
Step-by-step explanation: Search math w ay on the internet for any further math questions :)
please help: solve for x
WILL MARK BRAINLIST PLS HELP
Solve for x on the diagram below
Answer:
x = 56
Step-by-step explanation:
64 + x + 60 = 180
124 + x = 180
x = 56
The missing angle x of the diagram is; x = 56°
How to find the sum of angles on a straight line?In geometry, we know that the sum of angles on a straight line sums up to 180 degrees.
Now, in the given image we see that the three angles we are concerned with all form a straight line and as such they will all add up to 180 degrees. Thus;
64 + x + 60 = 180
124 + x = 180
x = 180 - 124
x = 56°
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HELP pls will mark you the brainliest
An equation for Windy Kite's total cost, y, in terms of the number of kites purchased, x, is y = 2x + 20.
An equation for Kites-R-Fun's total cost, y, in terms of the number of kites purchased, x, is y = 4x + 8.
Based on the table, if the Alaskan customer wants to buy 4 kites, Kites-R-Fun charges the least.
If the Alaskan customer wants to buy 10 kites, Windy kites charges the least.
The solution to the system of equations is (6, 32).
The meaning of the solution is that 6 kites would cost a total of $32 at both Windy kites and Kites-R-Fun.
How to write an equation to model this situation?In order to write a linear equation to describe this situation, we would a assign variable to the number of kites purchased and the total cost respectively, and then translate the word problem into a linear equation as follows:
Let the variable x represent the number of kites purchased.Let the variable y represent the total cost.Since Wendy charges $2 per kite and a flat rate of $20 for shipping, a linear equation that models the total cost is given by:
y = 2x + 20
When x = 4, the total cost for Windy kites is given by:
y = 2(4) + 20
y = $28.
When x = 7, the total cost for Windy kites is given by:
y = 2(7) + 20
y = $34.
When x = 10, the total cost for Windy kites is given by:
y = 2(10) + 20
y = $40.
For Kites-R-Fun, a linear equation that models the total cost is given by:
y = 4x + 8
When x = 4, the total cost for Kites-R-Fun is given by:
y = 4(4) + 8
y = $24.
When x = 7, the total cost for Kites-R-Fun is given by:
y = 4(7) + 8
y = $36.
When x = 10, the total cost for Kites-R-Fun is given by:
y = 4(10) + 8
y = $48.
Lastly, we would use an online graphing calculator to plot the system of linear equations as shown in the graph attached below.
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jane bought 22 t shirts for her fundraiser in total she spent 231 how much as each t shirt
What are we looking to solve for?
What variable can be used to represent the unknown? what is the equation to solve the variable?
Pls answer all those
Answer:
What are we looking to solve for?
How much each shirt she bought for the fundraiser costs, each.
What variable can be used to represent the unknown?
The variable "t".
What is the equation to solve the variable?
You can use the following equation as a framework for solving:
t * 22 = 231 solve for t.
Now lets solve:
I am going to use inverse operations: Divide instead of multiply.
231/22 = 10.05
Each shirt is worth $10.50.
Step-by-step explanation:
Hope it helps! =D
Answer:
We want to know how much each t-shirt costs.
t = 10.50
Step-by-step explanation:
We want to know how much each t-shirt costs.
Let the cost of each t-shirt = t
22 * t = 231
Divide each side by 22
22t/2 = 231/22
t = 10.50
The cost of each t-shirt is 10.50
a) Write down the next two numbers in the following sequent
33
22
45
12
10
Please help I have a learning disailty and this is due today.PLEASE PLEASE I DONT KNOW THE ANSWER AND SOOOOOOOOOOOO NEED THIS I WILL DO ANYTHING YOU WANT MARK YOU ASK A QUESTION SO YOU GET THE POINTS PLEASE I JUST REALLY NEED HELP.
Start at hexagon A. After you solve the expression find the answer in blue on the edge on the hexagon. The answer will lead you to your next hexagon.
Continue along the maze path until you reach the hexagon with an S in the flower. This is where you will finish.
To answer the questions below, type the letter in each hexagon that you solved along the maze in the order they were answered.
You do not need to include the starting hexagon (of A) or the end hexagon (of S). These are already written in the order below.
Use only capital letters when typing in the hexagon letter
Starting hexagon A
Second hexagon solved ______________________
Third hexagon solved____________________________
Fourth hexagon solved________________________________
A mathematical description of hexagon is given above.
What is a polygon?In geometry, a polygon is a plane figure that is described by a finite number of straight line segments connected to form a closed polygonal chain.
The bounded plane region, the bounding circuit, or the two together, may be called a polygon.
The segments of a polygonal circuit are called its edges or sides.
Given is hexagon.
In geometry, a hexagon is a six-sided polygon creating the outline of a cube. The total of the internal angles of any simple (non-self-intersecting) hexagon is 720°.
A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).
Therefore, a mathematical description of hexagon is given above.
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got kinda lost.. anyone know how i could solve??
The perimeter of this triangular park is equal to: 3x² 37x - 4 feet.
How to calculate the perimeter of this triangle?Mathematically, the perimeter of a triangle can be calculated by using this mathematical expression:
P = a + b + c
Where:
P represents the perimeter of a triangle.
a, b, and c represents the length of sides of a triangle.
Substituting the given parameters into the perimeter of a triangle formula, we have the following;
Perimeter of triangle, P = 12x + (15x + 4) + (10x + 3x² - 8)
Perimeter of triangle, P = 12x + 15x + 4 + 10x + 3x² - 8
Perimeter of triangle, P = 3x² 37x - 4 feet.
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in a situation where the sample size was decreased from 39 to 29, what would be the impact on the confidence interval?
When the sample size is decreased from 39 to 29 , the impact on confidence interval will be (c) It would become wider due to using the t distribution.
we know that , in general, as the sample size decreases, the variability of the estimate increases and the width of the confidence interval becomes larger.
The t distribution is used when the sample size is small, which increases the width of the confidence interval to account for the greater uncertainty in the estimate.
When the sample size is large, the t distribution approaches the standard normal (z) distribution, which results in a narrower confidence interval.
Therefore, a decrease in sample size would result in a larger t distribution and a wider confidence interval.
The given question is incomplete , the complete question is
In a situation where the sample size was decreased from 39 to 29, what would be the impact on the confidence interval ?
(a) It would become narrower with fewer values.
(b) It would remain the same as sample size does not impact confidence intervals.
(c) It would become wider due to using the t distribution.
(d) It would become narrower due to using the z distribution.
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Please help with this, im so confused
The required equivalent expression to the given expression is Lima invests $1000 in a mutual fund which gives her a return of 12% per year this situation can be modeled as y = 1000(1.2)ⁿ.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
An expression is given in the question that is,
[tex]Z(t) = 4000(12^{2t +2})[/tex]
We have to form a problem that represents the format of a function same as shown above.
Expression and problem is given as, Lima invests $1000 in a mutual fund which gives her a return of 12% per year this situation can be modeled as y = 1000(1.2)ⁿ.
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Please help fastttt
Each graph shows a linear function. Find an equation for it’s inverse and graph it’s inverse. The first one is done for you.
4. 5.
6. Examine the graphs you drew in problems 4 and 5. How does the dotted like y=x relate to the graphs of f(x) and f^-1(x)?
The inverse of the functions y = x + 3 and y = 2x - 4 are y = x - 3 and
y = (x + 4)/2 respectively.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function y = x + 3 or f(x) = x + 3.
Now, To find the inverse of f(x) we'll solve for 'x' in terms of 'y'.
y = x + 3.
x = y - 3.
y = x - 3.
f⁻¹(x) = x - 3.
Again,
y = 2x - 4.
2x = y + 4.
x = (y + 4)/2.
y = (x + 4)/2.
f⁻¹(x) = (x + 4)/2.
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at conditions of standard temperature and pressure, determine how many liters of hydrogen gas are produced by completely reacting a zinc nail with a mass of 2.2g with an excess of hydrochloric acid.a. 0,75Lb. 0,0025Lc. 6,42Ld. 1,33L
By thoroughly reacting a 2.2g zinc nail with an excess of hydrochloric acid, 0.0075 L of hydrogen gas is created.
What is pressure?The force per unit area on an item in the fluid or on the surface of a closed container is measured as fluid pressure. Gravity, acceleration, or forces outside a closed container can all create this pressure. Because a fluid has no fixed structure, its pressure is applied in all directions.
Here,
The reaction between zinc and hydrochloric acid produces hydrogen gas according to the following equation:
Zn + 2HCl -> ZnCl2 + H2
From the equation, we can see that 1 mole of zinc reacts with 2 moles of hydrochloric acid to produce 1 mole of hydrogen gas. The volume of a gas is proportional to the number of moles at constant temperature and pressure, so if we can determine the number of moles of zinc that were reacted, we can calculate the volume of hydrogen produced.
The moles of zinc can be calculated using the molar mass of zinc:
moles = mass / molar mass
moles = 2.2 g / 65.38 g/mol = 0.0337 mol
Since 1 mole of zinc reacts with 2 moles of hydrochloric acid, the number of moles of hydrogen produced is 0.0337 mol * 1 mol H2/1 mol Zn = 0.0337 mol H2.
Finally, the volume of hydrogen produced at standard temperature and pressure (STP) is calculated using the Ideal Gas Law:
PV = nRT
V = nRT / P
V = (0.0337 mol) * (0.08206 L atm / K mol) * (273.15 K) / (1 atm)
V = 0.0075 L
0.0075 L of hydrogen gas are produced by completely reacting a zinc nail with a mass of 2.2g with an excess of hydrochloric acid.
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Complete question:
What volume of hydrogen gas are produced by completely reacting a zinc nail with a mass of 2.2g with an excess of hydrochloric acid?
Which one of the following simplifications is incorrect ?
94 0 16x4 = 12x4
. در 0
3/ 3.
26 = 22
=
0 2 0 42 = 2017
3
O 264 0 481 = 12
Answer: is A
Step-by-step explanation: if you do the problem youd get 2 root 3x^2
A playstation 5 sells for $500. today only, it is on sale for 30% off. what is the sale price of the ps5?
The original price of the PlayStation 5 is $500 and there is a 30% discount, calculated as $500 x 30/100 = $150. The sale price is $500 - $150 = $350.
The calculation of the sale price of the PlayStation 5 involves finding the amount of the discount first. The original price of the PlayStation 5 is $500. The discount is 30%, which means that 30% of the original price will be taken off. To find the amount of the discount, we multiply the original price by the discount rate (30% or 0.30).
$500 x 0.30 = $150
Next, we subtract the discount from the original price to get the sale price:
$500 - $150 = $350
So, the sale price of the PlayStation 5 is $350.
The sale price of the PlayStation 5 is an important aspect for customers who are looking for a good deal. By knowing the original price and the discount, one can easily find the sale price. This type of calculation is common in retail and commerce, and is used to determine the savings that a customer can make on a particular item during a sale. Understanding these concepts is crucial for consumers to make informed decisions about their purchases, and for businesses to effectively promote their products and attract customers.
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if 10 cars are sold to a rental company, what is the probability that at most 1 car has any surface flaws?
The probability that at most one car has any surface flaws is 0.0067.
The formula to calculate the surface flaws will be -
P(X = 0) = [tex] {e}^{- lambda} {lambda}^{X} [/tex]/X!, where lambda is the mean of Poisson random variable with mean. It is 5 according to the question. Now keeping the values in formula to find the probability.
P = [tex] {e}^{- 5} {5}^{0} [/tex]/0!
As exponent 0 will be considered 1 and factor of the 0 is 0. So, rewriting the equation -
P = [tex] {e}^{- 5} [/tex]
Finding the value now
P = 0.0067
Thus, the probability is 0.0067.
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The complete question is -
The number of surface flaws in plastic panels used in the interior of automobile has a Poisson distribution with a man of 0.05 flaws per square foot of plastic panel. Assume an automobile interior contains 10 square feet of plastic panel.
if 10 cars are sold to a rental company, what is the probability that at most 1 car has any surface flaws?
a. If Mei has earned 30 points, write and solve a multiplication equation to find how many books she needs to read.
If Mei has earned 30 points, the multiplication equation to find how many books she needs to read is 30=5x.
How to find the number of books she needs to read?Let x represent the number of books she needs to read.
So,
The equation to find the number of books she need to read is:
30=5x
Let solve for x
30 =5x
Divide both side by 5x
x = 30/5
x = 6 books
Therefore the number of books is 6 books.
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Estimate √487 plsssssss
Answer:
Step-by-step explanation:
=22.068
Answer:
5
Step-by-step explanation:
actual answer 4.69766713281
what angles does the line y=1/2x + 1 make with x-axis (explain ans)
The required angle is 26.5°, line y=1/2x + 1 made with an x-axis.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Given the equation of the line,
y = 1/2x + 1
Compare the above equation with equation y = max +c
m = 1/2
tanФ = 1/2 [since m = tanФ]
Ф = tan⁻¹[1/2]
Ф = 26.5°
Thus, the required angle is 26.5°.
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a certain number of students can be arranged in groups of 3, 4, 6 or 8 with no student left behind. find the number of students.
The number of students will be equal to LCM which is 24.
Given:- A certain number of students can be arranged in groups of 3,4,6or 8 with no student left behind.
To find:- The number of students.
Solution:- To find minimum number of students need to find LCM (3,4,6,8).
[tex]3=3^{1}[/tex]
[tex]4=2*2=2^{2}[/tex]
[tex]6=2*3=2^{1} *3^{1}[/tex]
[tex]8=2*2*2=2^{3}[/tex]
LCM: Least common multiplier of given numbers is the Leastmultiplier number which is given perfectly divisible by the given numbers.
LCM= product of eac factor of highest power.
LCM=[tex]2^{3} *3^{1} =8*3=24[/tex]
Hence, minimum number of students= 24 or students are multiple of 24.
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help pls i don’t understand it
The length of the similar polygon is as follows:
GK = 30 units
TU = 24 Units
How to find similar polygon?Two polygons are similar if their corresponding angles are congruent and their corresponding sides are in proportion.
Therefore, the corresponding angles of the polygons are congruent and the sides are in ratio of each other.
Hence, let's find the side GK and TU as follows:
QRSTU ~ IJKGH
Therefore,
24 / GK = 16 /20
cross multiply
16GK = 480
GK = 480 / 16
GK = 30 Units
Hence,
TU / 30 = 16 / 20
cross multiply
20 TU = 480
TU = 480 / 20
TU = 24 Units
Therefore,
GK = 30 units
TU = 24 units
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how long would it take johnny to watch and finish a show with 61 episodes, if each episode is 23 minutes long?
Answer: 1,403
Step-by-step explanation: None
Answer:
1403
Step-by-step explanation:
First you find out how many minutes is each episodes at that is 23
Then you multiple 23 by 61 and you get 1403
There were 72 runners to start a race. In the first half of the race,1/
4
of them dropped out. In the second half of the race,2/3 of the remaining runners dropped out How many runners finished the race?
Step-by-step explanation:
First find 1/4 of 72 runners. To do this divide by 4.
So
72/4=18
Now take 72 and subtract 18 to get 54
Next find 1/3 of 54 runners
54/3=18
Because it is 2/3 you need to multiply 18 by 2
So
18 x 2 = 36
So
54-36=18 runners that finished the race
If needed in fraction form
18/72
Now simplify
9/16 of the runners finished
PLS HELP MEEEEEEEE PLS
The complex number z = 4√3 - i 4 has a norm 8 and a direction 330°. Its representation is in the image shown below.
How to graph a complex number and identify its norm and direction
In this question we find the definition of complex number in rectangular form, whose definition is shown below:
z = a + i b, where a, b are real numbers.
Where:
a - Real componentb - Imaginary componentGraphically speaking, the real component is associated to the horizontal axis of Cartesian plane and the imaginary component is associated to the vertical axis of that plane. The norm (r) and direction (θ) of the complex number are, respectively:
Norm
r = √(a² + b²)
Direction
θ = tan⁻¹ (b / a)
The norm and the direction of the complex number are, respectively:
r = √[(4√3)² + (- 4)²]
r = 8
θ = tan⁻¹ [(- 4) / (4√3)]
θ ≈ 330°
Lastly, we represent the complex number with the help of a graphing tool.
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Find the area of the given rhombus if AC = 2 m, DB = 9 m.
show that the volume V in cubic metres of water in a full container is given by the formul V=2x^2
The volume of a cuboid will be, V = 2x² If it has one side of 2 meters and the other two sides are of equal length.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
We know, The volume of a cuboid is (length×width×height).
Assuming the height of the cuboid to be 2 meters and it has a square base of 'x' meters.
Therefore, The volume of the cuboid V = 2×x×x.
V = 2x².
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There are 11 kittens and 15 puppies. How many ways can you select 3 kittens and 4 puppies to pet
The total number of ways are 225, 225.
What is Combination?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.
Given:
There are 11 kittens and 15 puppies.
so, we have to select 3 kittens from 11 kittens and 4 puppies from 15 puppies.
Then, the number of ways can be
= C(11, 3) x C(15, 4)
= 990 / 6 x 32,760/ 24
= 165 x 1365
= 225, 225.
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