Map scale shows the relationship that exists between a map distance and the normal ground distance. A map scale gives a smaller representation of the main map. A map of a park says its scale is 1 to 100 simply means that 1cm on the map is equal to 100cm on the ground.
Find an equation of the line
Through (-3,-7); parallel to 2x + 3y = 5
Answer:
2x +3y = -27
Step-by-step explanation:
You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).
Parallel lineA parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.
To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:
2x +3y = c
2(-3) +3(-7) = c = -6 -21 = -27
The desired equation is ...
2x +3y = -27
2,745 dividido en 45
Answer: 61
Step-by-step explanation:
You can get 52 to point if you answer every single answer hurry up this a test
Determine the number of units a given figure would be translated using the given notation.
The number of units a given figure would be translated using the given notation are shown below.
What is a translation?In Mathematics, the translation of a graph to the left is a type of transformation that simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph to the right is a type of transformation that simply means adding a digit to the value on the x-coordinate of the pre-image.
Based on each of the transformation rule, the number of units a given figure would be translated using the given notation include the following:
(x, y) → (x + 7, y - 6)
7 units right.
6 units down.
(x, y) → (x - 9, y + 2)
9 units left.
2 units up.
(x, y) → (x - 11, y)
11 units left.
0 units up/down.
(x, y) → (x - 8, y - 5)
8 units left.
5 units down.
(x, y) → (x + 13, y + 3)
7 units right.
3 units up.
(x, y) → (x, y + 9)
0 units right/left.
9 units up.
(x, y) → (x - 14, y + 12)
14 units left.
12 units up.
(x, y) → (x, y - 4)
0 units right/left.
4 units down.
Read more on translation here: brainly.com/question/26869095
#SPJ1
Ling is a camp counselor at a local summer camp. She is in charge of the weekly craft activity
for 40 campers. She plans to make fabric-covered frames that each require 1/6 yard of fabric.
The camp director gave her 6 2/3 yards of fabric remnants for this project. Does Ling have
enough fabric for her craft activity?
She has the exact amount of fabric that she needs for this project.
Does Ling have enough fabric for her craft activity?
We know that she is in charge of 40 campers, and she wants to make fabric-covered frames, such that each one needs 1/6 yards of fabric.
We know that he has a total of 6 + 2/3 yards to do this, and we need to see if that is enough.
Now, for each one of the 40 campers she needs 1/6 yards, so the total amount she needs is given by the product:
T = 40*(1/6 yards) = 40/6 yards = (36 + 4)/6 yards = (6 + 4/6) yards
T = (6 + 2/3) yards
So she has the exact amount of fabric that she needs for this project.
If you want to learn more about products:
https://brainly.com/question/10873737
#SPJ1
Which graph is defined by f(x) = x²-x-2|?
O A.
О в.
OC.
O D.
graph A
graph B
graph C
graph D
Colette made a scale drawing of the elementary school. The scale of the drawing was 1 millimeter : 5 meters. The schoolyard is 34 millimeters long in the drawing. How long is the actual schoolyard?
Answer:
170 METERS
Step-by-step explanation:
because 1millimeter is 5meter
34 multiplied by 5 = 170
HELP MEEEEE PLZZZZZ!!!
Answer:
75.02 ft and 64.62 ft.
Jeff is playing a racing game. The game awards him an initial $4,000 of virtual money. In addition, he gets $100 of virtual money for each race he wins. In the end, he calculates average earnings $200 of for each race he won. If x represents the number of races he won, which equation can be used to find the number of wins?
Answer:A
Step-by-step explanation:
Answer:
[4000+200x] /x=100 is your answer
As a promotional feature, a store conducts a weekly raffle. During any week, 40% of the customers who turn in one or more tickets do not bother to turn in tickets the following week. On the other hand, 30% of the customers who do not turn in tickets will turn in one or more tickets the following week. Find and interpret the steady matrix for this situation.
Given statement solution is :- Interpreting the steady matrix:
The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.
The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.
The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.
To analyze the steady matrix for this situation, let's consider the two groups of customers: those who turn in tickets and those who do not turn in tickets.
Let's denote the proportion of customers who turn in tickets as X and the proportion of customers who do not turn in tickets as Y.
According to the given information:
40% of the customers who turn in tickets do not turn in tickets the following week. This means that 60% of the customers who turn in tickets will turn in tickets again the following week.
30% of the customers who do not turn in tickets will turn in tickets the following week. This means that 70% of the customers who do not turn in tickets will continue not turning in tickets the following week.
Based on these percentages, we can construct the steady matrix:
java
Copy code
| Customers turning in tickets (X) | Customers not turning in tickets (Y) |
----------|----------------------------------|--------------------------------------|
Next week 0.6 0.3
This week 0.4 0.7
Interpreting the steady matrix:
The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.
The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.
The value 0.4 in the bottom left cell represents the proportion of customers who do not turn in tickets this week but will turn in tickets next week.
The value 0.7 in the bottom right cell represents the proportion of customers who do not turn in tickets this week and will continue not turning in tickets next week.
These values describe the transition probabilities between the two customer groups. For example, if there are 100 customers in total, 60 of them will turn in tickets next week, and 40 of them will not. Similarly, 30 customers who turn in tickets this week will not do so next week, while 70 customers who do not turn in tickets this week will continue to not turn them in next week.
The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.
For such more questions on Steady Matrix for Promotion
https://brainly.com/question/14011142
#SPJ8
Bookwork code: N84
Look at the poster below showing the price of pencils in a stationery shop.
Annabel wants to buy exactly 76 pencils. What is the lowest amount she can
pay?
Give your answer in pounds (£).
spar
..
Pencils for sale!
30p each
Pack of 10
pencils for £2
Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20
How is the lowest amount determined?The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.
Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.
If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).
If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].
Pencils for sale
30p each
Pack of 10 pencils for £2
Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.
Learn more about mathematical operations at https://brainly.com/question/4721701.
#SPJ1
Write 108 in exponential form using only prime numbers as a base
Please help find the answer. Thank You!
Answer:
Step-by-step explanation:
208
-9 - (-4) =
What does that equal to?
Answer:
-5
Step-by-step explanation:
When you subtract a negative you end up adding it instead
PLEASE HELP ME
An article claimed the state's typical price of a gallon of gasoline is $2.69. The prices from 5 gas stations surveyed were $2.79, $2.99, $2.69, $2.89, and $2.69.
According to this data, what is wrong with the article's statement?
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
How to determine what is wrong with the data?The prices from 5 gas stations surveyed are given as:
$2.79, $2.99, $2.69, $2.89, and $2.69.
There are no outliers in the dataset
So, the dataset can be summarized by the mean
The mean is
Mean = Sum/Count
So, we have
Mean = ($2.79+ $2.99+ $2.69+ $2.89+$2.69)/5
Evaluate
Mean = 2.81
The article quoted $2.69 as the typical price
This statement in the article is wrong because $2.69 is not the mean price ($2.81)
Read more about mean at:
https://brainly.com/question/20118982
#SPJ1
Answer please please plaease
Answer:
I might be wrong on this but I think the answer is C)
Step-by-step explanation:
Step-by-step explanation:
Option → B
Because, the domain has two ranges and it doesn't represent a function.
How many ways can 1st place, 2nd place, and 3rd place be chosen if there are 50 contestants in the beauty pageant?
Answer:
\(Ways = 117600\)
Step-by-step explanation:
Given
\(n = 50\)
\(s= \{1,2,3\}\)
Required
The number of ways
This is possible by:
\(1st \to\) any of the 50 people
\(2nd \to\) any of the remaining 49
\(3rd \to\) any of the remaining 48
So, the number of ways is:
\(Ways = 50 * 49* 48\)
\(Ways = 117600\)
The cross-section of the prism below is a compound shape formed of two
rectangles.
Work out the volume of the prism.
Give your answer in cm³.
Answer:
V = 4(5)(7) + 6(5)(15) = 140 + 450 = 590 cm³
what is the perimeter for a 141 by 234
Step-by-step explanation:
the width is 23.5ft and the length is 47ft
In a choir, the ratio of boys to girls is 5 to 6. There are 10 boys in the choir.
What is the total number of boys and girls in the choir?
Enter your answer in the box.
A bucket contains 72 red, 48 blue, 48 green, and 48 yellow crayons. The art teacher also has 120 pieces of drawing paper. What is the largest number of identical kits the art teacher can make with all of the crayons and all of the paper?
The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.
To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.
The GCD represents the largest number that can divide all the quantities without leaving a remainder.
The GCD of the quantities of crayons can be found by considering the prime factorization:
72 = 2³ × 3²
48 = 2⁴ × 3
48 = 2⁴ × 3
48 = 2⁴ × 3
The GCD of the crayons is 2³ × 3 , which is 24.
Now, we need to find the GCD of the quantity of drawing paper:
120 = 2³ × 3 × 5
The GCD of the drawing paper is also 2³ × 3 , which is 24.
Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.
Each kit would contain an equal distribution of crayons and drawing paper.
Learn more about distribution here:
brainly.com/question/30034780
#SPJ1
Which linear equation best represents the data given in the table?
Answers
y=7x+4
y=7x-4
y=4x+7
y=4x-7
Linear equations are equations that have constant slopes
The linear equation that represents the table is (a) y = 7x +4
How to determine the linear equationStart by calculating the slope (m) using:
\(m = \frac{y_2 -y_1}{x_2 -x_1}\)
So, we have:
\(m = \frac{-10 +17}{-2 +3}\)
Simplify
\(m = \frac{7}{1}\)
\(m = 7\)
The equation is then calculated as:
\(y = m(x -x_1) + y_1\)
So, we have:
\(y = 7(x +2) -10\)
Open the brackets
\(y = 7x +14 -10\)
\(y = 7x +4\)
Hence, the linear equation that represents the table is (a) y = 7x +4
Read more about linear equations at:
https://brainly.com/question/14323743
The length of a rectangle is 7yd more than twice the width x. The area is 555yd2.
(a) Write an equation in terms of x that represents the given relationship.
The equation in terms of x that represents the given relationship is (7 + x)x = 555
Write an equation in terms of x that represents the given relationship.The given parameters are
Length = L
Width = x
Area = 555 yd^2
From the question, we have
L = 7 + x
The area of a rectangle is
A = Lx
Substitute 7 + x for L
So, we have
A = (7 + x)x
Substitute 555 for A
So, we have
(7 + x)x = 555
Hence, the equation in terms of x that represents the given relationship is (7 + x)x = 555
Read more about areas at
https://brainly.com/question/24487155
#SPJ1
Find the median of these numbers ? 2,7,5,4,3
Answer:
4
Step-by-step explanation:
MARK AS BRAINLIST!!
Answer:
4.
Step-by-step explanation:
The median is the 'middle number.'
In order to find the median of a data set, you must first put the numbers in numerical order.
2, 7, 5, 4, 3
↓
2, 3, 4, 5, 7
The 'middle number' in this data set is 4.
Therefore, the median is 4.
Claim: Most adults would erase all of their personal information online if they could. A software firm survey of 618 randomly selected adults showed that 59% of them would erase all of their personal information online if they could. Find the value of the test statistic.
The value of the test statistic is given as follows:
z = 4.47.
How to obtain the test statistic?The equation to calculate the test statistic using the z-distribution is given as follows:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
In which:
\(\overline{p}\) is the sample proportion.p is the expected value.n is the sample size.The parameters for this problem are given as follows:
\(\overline{p} = 0.59, p = 0.5, n = 618\)
p = 0.5 as the most term means that we are testing if the proportion is either less than or greater than 0.5.
Then the test statistic is obtained as follows:
\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)
\(z = \frac{0.59 - 0.5}{\sqrt{\frac{0.5(0.5)}{618}}}\)
z = 4.47.
More can be learned about test statistics at https://brainly.com/question/13873630
#SPJ1
What is the base of the rate is 16.1% and the portion is 454
The rate is 16.1% and the base is the final portion with the rate added on to it.
Chance the percentage into a decimal.
16.1% / 100 = 0.161
Multiply.
454 * 0.161 = 73.094
Add.
454 + 73.094 = 527.094 or 527.09
Therefore, the final base is roughly 527.09
Best of Luck!
Mrs. Lewis's class is raising money for needy people during January.
Anna saved a dime for each day of the month to donate.
Billy saved a quarter each day. Who collected more money? By how much more?
Answer:
billy
Step-by-step explanation:
if you multiply 10 times 31 it gives you 310 and if you have 25 cents and multiply that by 31 you get 750 so billy got more money by 440$
Hope this helps
Lo is making beaded necklaces. For each necklace, she uses 38 spacers, +4 beads per inch of necklace length. Write an equation to find out how many beads Li needs for each necklace, where x is the length, in inches, of the necklace
Answer:
3x+5 is 130 whereas they have no
Jasmine has a circular swimming pool with a radius of 4.2 meters. What is the circumference of the pool? Use 3.14 for π
. Round to the nearest hundredth if necessary.
__ m
If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.
The "Circumference" of a circle is known as the distance around the boundary of a circle.
The circumference of a circle is given by the formula : 2 × π × radius,
where π (pi) is a mathematical constant approximately equal to 3.14,
We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :
⇒ Circumference = 2 × 3.14 × 4.2 meters,
⇒ Circumference ≈ 26.4 meters,
Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.
Learn more about Circumference here
https://brainly.com/question/16125353
#SPJ1
An entrepreneur invests in a new play. The cost includes an overhead of $33,750 plus production costs of $1700 per performance. A sold-out performance brings in $2325 . Assume every performance is sold out, and let x represent the number of sold-out performances.
The entrepreneur's revenue is $2325x, entrepreneur's cost is $33,750 + $1700x and entrepreneur's profit from x sold-out performances is $625x - $33,750
The entrepreneur's revenue from x sold-out performances is given by the formula:
Revenue = (Price per Performance) x (Number of Performances)
Revenue = $2325 x x
Revenue = $2325x
The entrepreneur's cost from x sold-out performances is given by the formula:
Cost = Overhead + (Production Cost per Performance) x (Number of Performances)
Cost = $33,750 + $1700x
The entrepreneur's profit from x sold-out performances is the revenue minus the cost:
Profit = Revenue - Cost
Profit = $2325x - ($33,750 + $1700x)
Profit = $625x - $33,750
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ1
Given that R = 6x + 9y
Find y when X = 1 and R= 39
Give your answer as an improper fraction in its simplest form.
y=
Answer:
11/3
Step-by-step explanation:
x=1, R=39, y=?
R=6x + 9y
(substitute the parameters into the equation)
39=6(1) + 9y
39= 6 + 9y
(collect like terms)
39 - 6 =9y
33=9y
(divide both sides by 9)
33/9=9y/9
11/3=y
therefore, y= 11/3