Using the concept of constant of proportionality, the square meters of 100 number of tiles is: 9.30 square meters
How to find the constant if proportionality?Constant of proportionality is defined as the constant value of the ratio between two proportional quantities.
When two variables are directly or indirectly proportional to each other, then their relationship can be described as y = kx or y = k/x, where k determines how the two variables are related to one another. This k is known as the constant of proportionality.
The parameters given are:
1 square meter = 10.75 number of tiles
10 square meters = 107.5 number of tiles
Thus, the constant of proportionality is:
10/1 or 107.5/10.75 = 10
If 10.75 number of tiles = 1 square meter, then we say that:
100 number of tiles = (100 * 1)/10.75 = 9.30 square meters
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A garden hose supplies 36 gallons of water in 3 mins use a table of equivalent ratios to show the garden hoses water flow in gallons per min and min per gallon
Answer:
The answer is 12
Step-by-step explanation:
If there are 36 gallons per 3 min. To find the per min you would divide 36 by 3.
You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets. Your friend finds $1 near your table and asks if it belongs with the ticket money. Do you think it does?
The 1 dollars found near the table by your friend is likely the money for the tickets.
How to find if the money belong to the ticket money?You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets.
let
x = number of individual ticket
y = number of couple tickets = 2x
Therefore, using equation,
2x(10) + 6x = 1075
2x + x = 195
Hence,
20x + 6x = 1075
3x = 195
x = 195 / 3
x = 65
Hence,
26x = 1075
26(65) = 1690
Therefore, the money on the table is the ticket money because the money is short of the amount of the tickets in dollars.
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4xy = 88. If y = 2, then what is x?
Answer: x = 11
Step-by-step explanation:
first, i did simple calculations.
4x(2) = 88
that calculates out to:
8x = 88
then, i divided both sides by 8, in order to get x by itself.
8x/8 = 88/8
x = 11
Find the surface area of the following pyramid using its net. Please answer correctly the 4 questions and I'll give you brainliest :D
Answer:
The surface is 7.4344433322 acording to the exact dynamiter and angle of the pyrmaids
Step-by-step explanation
Im smart like that :)
Answer:
1. 224
2. 424.8
3. 85.4
4. 960
Step-by-step explanation:
I used the triangle calculator :)
hope it helps!
Each unit on the coordinate grid represents 1 yard. The rectangular pool and triangular hot tub shown are both in need of covers. How much total material is needed to cover both? square yards
Answer:
29 square yards
Step-by-step explanation:
see attachment for the graph
Vertices of rectangular pool are A(3,2),B(7,8),C (4,10), and D (0,4).
AB=\(\sqrt{(7-3)^{2}+(8-2)^{2}}= \sqrt{16+36}=\sqrt{52}\) yard=CD
BC= \(\sqrt{(7-4)^{2}+(8-10)^{2}}=\sqrt{9+4}=\sqrt{13}\)yard=DA
In order to find the area of rectangular pool =Length × Breadth
=√52 ×√13=13×2=26 sq. yard
Vertices of triangle given are: P(5,2),Q(7,2) and R(7,5).
PQ= 2 units, QR= 3 units
Area of right triangle PQR=1/2 ×PQ×PR
=1/2×2×3= 3 sq. yards
Next is to find total material needed to cover( that includes bot rectangular pool and triangular hot tub)
= Area of rectangle + Area of right triangle
=26+3=29 square yards
Answer:
29
Step-by-step explanation:
I just did my homework
A vase has the shape of a rectangular prism. The vase has a height of 4 1/2 inches and a
square base with a side length of 4 inches. You want to fill the vase with water. You have a pitcher that holds about 75 cubic inches of water. Is the amount of water in the pitcher not enough, just enough, or more than enough? Explain
Pitcher holds 75 in³ of liquid, more than enough to completely fill a vase with a 72 in³ rectangular prism shape.
What is a rectangular prism?A rectangular prism is a polyhedron in geometry that has two parallel and congruent bases.
It also goes by the name cuboid.
Six faces, each with a rectangle shape and twelve edges, make up a rectangular prism.
So, the volume of the rectangular prism is:
V = h*w*l
Now, insert values as follows:
V = h*w*l
V = 4.5*4*4
V = 72 in³
Pitcher has 75 in³ of water which is more than enough to fill the vase.
Therefore, the pitcher holds 75 in³ of liquid, more than enough to completely fill a vase with a 72 in³ rectangular prism shape.
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What’s the most common color ?
Answer:
I think the most common color is blue .
A plumber charges $25 for a service call plus $50 per hour of survice write an equation in slope-intercept form the cost for,C, after h hours of survice
The total cost for 8 hours of work is $425.
The total cost for 10 hours of work is $525.
The total amount the plumber earns is made up of a fixed charge and a variable charge. A fixed charge is a charge that remains constant regardless of the number of hours the plumber works. The fixed charge is $25. The variable charge is the charge that increases per hours worked. The variable charge is $50 per hour.
Cost = fixed charge + variable charge
C = $25 + $50h
The total cost for 8 hours
$25 + $50(8)
$25 + $400
= $425.
The total cost for 10 hours
$25 + $50(10)
$25 + $500
$525.
find the figure measure of each interior angle of a regular 12 sided polygon
Answer:
150°
Step-by-step explanation:
the sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 12 , then
sum = 180° × 10 = 1800°
the 12 interior angles of a regular polygon are congruent , then
interior angle = 1800° ÷ 12 = 150°
pls pls help whoever gets it right gets marked brainliest
Answer:
\(x + 2 = - 3x\)
\( - 4x = 2\)
\(x = - \frac{1}{2} \)
\( - 3( - \frac{1}{2} ) = \frac{3}{2} = 1 \frac{1}{2} \)
So the lines intersect at (-1/2, 1 1/2), or
(-.5, 1.5).
what kinds of images are based on mathematical instructions that define lines, curves, text, ovals, and other geometric shapes?
The mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics
The vector graphics is defined as the computer graphics that the visual images are created directly from geometric shapes. It is defined on the Cartesian plane such as lines, curves, texts, ovals and other geometric shapes
The vector artworks are the artwork that created by vector graphics. There will be lines curves, text, oval and other geometric shapes according to the mathematical expression
Therefore, the vector graphics is the mathematical instruction that defines the geometric shapes
Hence, the mathematical instructions that define lines, curves, text, ovals, and other geometric shapes is vector graphics
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Given that sinФ = 8/17 and cos Ф < 0:
In which quadrant does the terminal side lie when it is placed in standard position?
What is the value of CosФ? CosФ =
What is the value of tanФ? TanФ =
Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
What is the mean of the modes of the given set of numbers 54 55 55 55 56 57 57 57 58 and 59?
56.6 years is the mean of the modes of the given set of numbers.
What are the mean, median, and example?
The most frequent number, or the one that happens the most frequently, is known as the mode.
Example: Since the number 2 appears three times, more than any other number, it is the mode of the numbers 4, 2, 4, 3, and 2.
The mean is calculated by adding together all the values
= (54+54+54+55+56+57+57+58+58+60+60
= 623
= 56.6 years.
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how do I sketch the graph for y= -2x + 3 ?
Answer:
y=-2x+3
-2x=slope
3=y intercept
draw ur first point at (0,3) and then move two point down and one point to the right, (this means that the next point will be (1,1)), then go down two right one again (2,-1), keep doing this until u reach end of graph or get bored, then to do the other side go back to (0,3) and go up two left one (reverse of slope) to the point (-1,5) keep doing this until you reach the end or get bored.
2. the butler and the cook have decided to murder their employer. they draw straws to determine which one of them must carry out the dirty deed (so each has the same chance). the butler has four poison tipped pens, two crowbars and four knives and the cook has three rolling pins and seven knives. whoever is chosen to be the murderer will select one of their weapons randomly. a. what is the probability that the murder was committed with a knife? b. given that the murder was committed with a knife, what's the probability that the cook did it?
a) The probability that the murder was committed with a knife: 0.55
b) The probability that the cook did it, given that the murder was committed with a knife: 0.275
To determine the probability that the murder was committed with a knife, we first need to find the total number of weapons.
The butler has four poison tipped pens, two crowbars and four knives and the cook has three rolling pins and seven knives.
So, the total knives: 4 + 7 = 11
crowbars: 2
poison tipped pens: 4
and rolling pins: 3
So, the total number of weapons: 11 + 2 + 4+ 3 = 20
The probability that the murder was committed with a knife:
p = 11/20
p = 0.55
Now we need to find the probability that the cook did it, given that the murder was committed with a knife.
P = 0.55 × 0.5
P = 0.275
The required probability is 0.275
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Determine K such that 2/3, k, 5/8,K are consecutive terms of an ap
Answer:
k = 16/33
Step-by-step explanation:
Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p
k - 2/3 = 5/8k - k
3k-2/3 = 5k-8k/8
Cross product
(3k-2)(8) = (3)(5k-8k)
24k - 16 = 15k - 24k
24k - 16 = -9k
24k + 9k = 16
33k = 16
k = 16/33
THE PRESENT AGE OF A FATHER IS THREE TIMES THAN THAT OF HIS SON. FIVE YEARS AGO HE WAS FIVE TIMES AS OLD AS HIS SON. FIND THEIR PRESENT AGES.
(STEP BY STEP PLZ) (HOPE U ENJOY IT)
Answer:
Pls See the photo
Step-by-step explanation:
Hope u like it
Answer:
His son is 10 and his father is 30.
Step-by-step explanation:
Let the age of his son be x and his father's age be 3x.
5(x-5) = 3x-5
5x-25 = 3x-5
5x-3x = 25-5
2x = 20
x = 10
3x = 10 × 3
= 30
Josh has a part-time job mowing yards. On average, it takes him 2.25 hours to mow one yard. If he completed 6 1/3 yards this weekend, how many hours did he spend mowing yards
Answer:
14.25 hours
Step-by-step explanation:
We know
2.25 hours = 1 yard
13.5 hours = 6 yards
1/3 yard = 2.25 / 3 = 0.75 hours
To find how long it takes him to complete 6 1/3 yards, we take
13.5 + 0.75 = 14.25 hours
So, he spent 14.25 hours mowing yards.
which is the smallest number 6.1 5.4 5 1/10 6 7/10
Answer:
5 1/10
Step-by-step explanation:
Convert all integers to decimals.
6.1
5.4
5 1/10 = 5.1
6 7/10 = 6.7
The smallest number frrom the list is 5.1 or 5 1/10.
Answer:
5 1/10
Step-by-step explanation:
Convert to the same format, IE. decimals so you can compare like numbers. The other numbers are:
6.1
5.4
5.1 (1/10 = 0.1)
6.7 (7/10 = 0.7)
So, from least to greatest they are:
5.1
5.4
6.1
6.7
What is the solution: 4x - 1 = 10 + 4x
Answer:
0=11
Step-by-step explanation:
If Eric can paint $3$ cars in $4$ hours and $2$ trucks in $5$ hours, then how long, in hours, would it take him to paint $4$ cars and a truck? Express your answer as a common fraction.
Answer:
47/6
Step-by-step explanation:
Given that :
Time taken to paint 3 cars = 4 hours
Time taken to paint 2 trucks = 5 hours
How long will it take him to paint 4 cars and a truck
If 3 cars = 4 hours ;
Then ;
1 car = (4/3)hours
If 2 trucks = 5 hours
Then;
1 truck = (5/2) hours = 2 1/2 hours
Time required To paint 4 cars :
4 × (4/3) = 16/3 hours
Time required to paint 1 truck :5/2 hours
Total time required :
(16/3 + 5/2) = (32 + 15) / 6 = 47/6
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:30
Step-by-step explanation:
60 plus 30 equals 90 so common sense says that’s the answer
Answer:
30
Step-by-step explanation:
What is the solution for this system of equations?
Answer: y = x +8
Step-by-step explanation:
Using The Chi-Square Distribution Table, =σ2225 , =α0.01 , =n25 , and a two-tailed test, find the following:
State the hypotheses.
Null hypothesis (H0): The population variance is equal to the hypothesized variance, i.e., H0: σ² = 225.
Alternative hypothesis (H1): The population variance is not equal to the hypothesized variance, i.e., H1: σ² ≠ 225.
Based on the given information, you want to perform a Chi-Square test with a significance level (α) of 0.01, sample size (n) of 25, and variance (σ²) of 225, using a two-tailed test. Here's the answer with the terms included:
State the hypotheses:
1. Null hypothesis (H0): The population variance is equal to the hypothesized variance, i.e., H0: σ² = 225.
2. Alternative hypothesis (H1): The population variance is not equal to the hypothesized variance, i.e., H1: σ² ≠ 225.
To determine whether to accept or reject the null hypothesis, you would need to calculate the Chi-Square test statistic and compare it to the critical values found in the Chi-Square distribution table for the given α and degrees of freedom (n-1).
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With Alpha set to .05, would we reduce the probability of a Type
I Error by increasing our sample size? Why or why not? How does
increasing sample size affect the probability of Type II Error?
With Alpha set to .05, increasing the sample size would not directly reduce the probability of a Type I error. The probability of a Type I error is determined by the significance level (Alpha) and remains constant regardless of the sample size.
However, increasing the sample size can indirectly affect the probability of a Type I error by increasing the statistical power of the test. With a larger sample size, it becomes easier to detect a statistically significant difference between groups, reducing the likelihood of falsely rejecting the null hypothesis (Type I error).
Increasing the sample size generally decreases the probability of a Type II error, which is failing to reject a false null hypothesis. With a larger sample size, the test becomes more sensitive and has a higher likelihood of detecting a true effect if one exists, reducing the likelihood of a Type II error. However, it's important to note that other factors such as the effect size, variability, and statistical power also play a role in determining the probability of a Type II error.
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A study was conducted of all 2223 passengers aboard the Titanic when it sank. Does the value of 2223 represent a statistic or a parameter? a. The given value is a parameter because the data collected represent a sample b. The given value is a parameter because the data collected represent a population c. The given value is a statistic because the data collected represent a population d. The given value is a statistic because the data collected represent a sample
A study was conducted of all 2223 passengers aboard the Titanic when it sank, the value of 2223 represent a statistic or a parameter is
b. The given value is a parameter because the data collected represent a population.
Parameter: A parameter is a numerical value that describes a characteristic of a population. A population refers to the entire group or set of individuals or items we are interested in studying. Parameters are typically unknown because it is often impractical or impossible to collect data from an entire population. Therefore, we estimate parameters using sample statistics.
Statistic: A statistic is a numerical value that describes a characteristic of a sample. A sample represents a subset or a smaller portion of a population. Statistics are calculated based on the data collected from the sample and are used to estimate or make inferences about the unknown parameters of the population.
In statistics, a parameter is a numerical summary measure of a population. In this case, the study was conducted on all 2223 passengers aboard the Titanic, which represents the entire population of interest. Therefore, the value of 2223 represents a parameter because it pertains to the entire population.
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find the value of x
\(\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{11 + x}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{17}\\ \end{cases}\implies (11+x)^2=x^2+17^2 \\\\\\ (11+x)(11+x)=x^2+17^2\implies \stackrel{F~O~I~L}{121+22x+x^2}~~ = ~~x^2+289 \\\\\\ 121+22x=289\implies 22x=168\implies x=\cfrac{168}{22}\implies x=\cfrac{84}{11}\implies x=7\frac{7}{11}\)
If ABC = DEF, AB = 8, BC = 19, AC=14, EF = 4x-1, and DE=y-6, f
x and y.
As ΔABC ≅ ΔDEF, Using congruence properties the value of x= 5 and the value of y= 14.
What are congruent triangles?Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them. Two triangles must have the same angles and, as a result, must be congruent if their sides are the same.
Given that ΔABC ≅ ΔDEF, so that
AB ≅ DE
BC ≅ EF
AC ≅ DF
and AB = 8
BC = 19
AC = 14
EF = 4x-1
DE = y-6,
As AB ≅ DE
8 = y - 6
add 6 both sides we get
y = 8 + 6
y = 14
and BC ≅ EF
19 = 4x - 1
Add 1 both sides we get
4x = 19 + 1
4x = 20
divide both sides by 4 we get
x = 20/4
x = 5
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A large pizza at Wilde Pizza costs $10 plus $1 for each topping. The cost of a large pizza at Lake Pizza is $8 plus $2 for each topping. How many toppings need to be added to a large pizza from Wilde Pizza and Lake’s Pizza in order for the pizzas to cost the same, not including tax?
Answer:
10+1x=8+2x
10-8+1x=8+2x-8
2+1x-1x=2x-1x
2=1x
x=2
Step-by-step explanation:
please pass this on... ( #helpsavelives )
Who ever is reading this:
I love u.
U matter.
The world needs u
hang in there ik it may be bad but u deserve the world <3
ur beautiful no matter ur shape, size, color, gender.. anything
don't give up i need u to live.
i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me
Pls pass this on. Everyone deserves to know this. ♥️♥️
just copy and paste its not hard pls this could save someones life
Answer:
2 toppings from each
Step-by-step explanation:
Since Wilde pizza is $10 and each topping is $1, and Lake pizza is $8 and each topping is $, you need to add to figure out this because they are not the same price.
Wilde: start off with $10
1 topping: $11
2 toppings: $12
Lake: start off with $8
1 topping: $10
2 toppings: $12
They both are the same price at $12, and both have 2 toppings, therefore it ia 2 toppings.
In the diagram above, ∠1=135° . Find the measure of ∠2.
Answer:
Angle 2 = 45 degrees
Step-by-step explanation:
Angle 1 = Angle D because they are alternate interior angles.
Angle 3 = Angle A because they are alternate exterior angles.
Angle 1 = 135 degrees
Therefore, Angle D = 135 degrees
180 - Angle D = Angle 2
Angle 2 = 180 - 135
Angle 2 = 45 degrees