The scale is equal to 1:500.
The ratio between a distance on a map and its corresponding distance on the ground is referred to as the "map scale."
if 1 cm on the map corresponds to 100 cm on actual ground then the scale of the map is given by the ration 1:100.
Scale of map is widely used in cartography and constructions.
The given condition states that 3 cm to 15 m.
We know that 1 cm =100 meters
Hence 15 meters = 15 × 100 cm =1500 cm
Therefore length on map = 1 cm
Length on ground = 1500 cm
Scale = distance on map : distance on ground
or, Scale = 3 : 1500
or, Scale = 1: 500.
Therefore the scale is 1: 500.
To learn more about scale visit :
https://brainly.com/question/13279076
#SPJ9
Cristina keeps track of how many items are sold each week so she can figure
out how much she needs to bake for the next week. Pretzel rolls are her best-
selling bread. Here are the weekly sales of pretzel rolls in March.
Week
Number of Pretzel Rolls Sold
March 1-7
287
March 8-14 304
March 15-21271
March 22-28 316
Rounding to the nearest 10, what is the best estimate of the number of
pretzel rolls sold in March? Enter your answer in the box.
The estimate of the number of pretzel rolls sold in March will be 890.
How to illustrate the information?The following can be deduced based on the information that given:
March 8-14. 304
March 15-21 271
March 22-28. 316
Therefore, it should be noted that 304 to the nearest ten is 300.
271 to the nearest ten will be 270
316 to the nearest ten will be 320
Therefore, the total number sold in March will be:
= 300 + 270 + 320
= 890
Learn more about numbers on:
brainly.com/question/25734188
#SPJ1
thank you so much i almost failed
Answer:
haha what happened, ur welcome
ofc ofc
In 2013, there were 50,304 runners in the New York City Marathon. Each runner runs a distance of 26.2 miles. If you add together the total number of miles for all the runners, how many times would they run back and forth from the earth to the moon? Consider the distance from the earth to the moon to be 2.389 x 105 miles.
The runners would be able to run 2 times back and forth from the earth to the moon if their distances were added.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
There are 50,304 runners and each runner runs a distance of 26.2 miles. Hence:
Total distance ran by runners = 26.2 miles * 50304 = 1317964.8 miles.
The distance from the earth to the moon is 2.389 x 10⁵ miles, hence:
Ratio of total distance to distance from earth to moon = 1317964.8 miles/ (2.389 * 10⁵) = 5.516
Time ran back and forth = 5.516 / 2 = 2.76
The runners would be able to run 2 times back and forth from the earth to the moon if their distances were added.
Find out more on equation at: https://brainly.com/question/13763238
#SPJ1
6. The amount of carbon-14 left / years after the death of an organism is given by
2(1) = Que-0.0001221
where Qo is the amount left at the time of death. For this problem, assume Qo=
6.0 x 1010 carbon-14 atoms.
(a) How much is left after 50,000 years? What fraction of the original amount is this?
(b) How much is left after 100,000 years? What fraction of the original amount is
this?
(c) What is the half-life of carbon-14?
(d) About how many half-lives will occur in 50,000 years? Roughly what fraction will
be left? How does this compare to your answer in part (a)?
The half-life of carbon-14 is 5,730 years. Assuming you start with 100% of carbon-14, what is the expression for the percent, P(t), of carbon-14 that remains in an organism that is t years old and what is the percent of carbon-14 remaining (rounded to the nearest whole percent) in an organism estimated to be 20,000 years old
Carbon-14, C-14, 14
C or radiocarbon, is a radioactive isotope of carbon with an atomic nucleus containing 6 protons and 8 neutrons. Its presence in organic materials is the basis of the radiocarbon dating method pioneered by Willard Libby and colleagues (1949) to date archaeological, geological and hydrogeological samples. Carbon-14 was discovered on February 27, 1940, by Martin Kamen and Sam Ruben at the University of California Radiation Laboratory in Berkeley, California. Its existence had been suggested by Franz Kurie in 1934.[2]
There are also trace amounts of the unstable radioisotope carbon-14 (14C) on Earth. Carbon-14 has a relatively short half-life of 5,730 years, meaning that the fraction of carbfon-14 in a sample is halved over the course of 5,730 years due to radioactive decay to nitrogen-14.
To know more about carbon14
visit-: https://brainly.com/question/27861556
SPJ9
How to simplify the square root of 36
Answer:
6
Step-by-step explanation:
6 times 6 = 36, so 6 is the answer
Hope this helps. Please mark me brainliest!
The answer to the question 36/12=3
Write each fraction in order from least to greatest values 1/15 5/6 7/10 1/2
Answer:
1/15, 1/2, 7,10,5/6
Step-by-step explanation:
I just got this right in my test.
Answer:
FROM LEAST TO GREATEST:
1/15, 1/2, 7/10, 5/6
Step-by-step explanation:
1 divided by 15 is 0.066666
5 divided by 6 is 0.8333333
7 divided by 10 is 0.7
1 divided by 2 is 0.5
Perform the operation 15.2 feet X 2.4 feet. Write the answer with the correct number of significant digits.
<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find m<2.
Answer:
∠ 2 = 122°
Step-by-step explanation:
given ∠ 2 = 2 ∠ 1 + 6
a linear pair of angles sum to 180° , then
∠ 1 + ∠ 2 = 180° , that is
∠ 1 + 2∠ 1 + 6 = 180° ( subtract 6 from both sides )
3∠ 1 = 174° ( divide both sides by 3 )
∠ 1 = 58° , then
∠ 2 = 180° - 58° = 122°
2. Subtract (5x² + 3) -(2x² + 4x - 12). (1 point)
3x² - 4x + 15
3x² + 4x + 15
3x²-4x-9
3x²+4x-9
Answer:
Step-by-step explanation: 3x^2-4x+15
1. (5x^2+3)-(2x^2+4x-12)
2. (5x^2+3)-1(2x^2+4x-12)
3. 5x^2+3-2x^2-4x+12
4. 3x^2-4x+15
what the sum of 4 15and9 15
Find the length of BC if B is the midpoint of AC
Answer:
x + 7
Step-by-step explanation:
5(2x + 2) - 3(3x -1)
10x + 10 - 9x - 3
x + 7
NO LINKS!! Please help me with these graphs
Answer:
square: 9 square unitstriangle: 24 square unitsStep-by-step explanation:
Using a suitable formula the area of a polygon can be computed from the coordinates of its vertices. You want the areas of the given square and triangle.
SquareThe spreadsheet in the first attachment uses a formula for the area based on the given vertices. It computes half the absolute value of the sum of products of the x-coordinate and the difference of y-coordinates of the next and previous points going around the figure.
For this figure, going to that trouble isn't needed, as a graph quickly reveals the figure to be a 3×3 square.
The area of the square is 9 square units.
TriangleThe same formula can be applied to the coordinates of the vertices of a triangle. The spreadsheet in the second attachment calculates the area of the 8×6 triangle.
The area of the triangle is 24 square units.
__
Additional comment
We have called the triangle an "8×6 triangle." The intention here is to note that it has a base of 8 units and a height of 6 units. Its area is half that of a rectangle with the same dimensions. These dimensions are readily observed in the graph of the vertices.
Explain the closure property for polynomials.
Answer:
Step-by-step explanation:
Similarly one knows that the set of polynomials is much like the set of integers because both sets are closed under addition, multiplication, negation, and subtraction, but are not closed under division. Particularly interesting examples of closure are the positive and negative numbers.
-4 times the difference of six and a number is at least seven times the number
1/4^x-1+1/2^x-4=2/5
Solve for x
Answer:
x = 7 and 1/5
Step-by-step explanation:
this is how you solve
Which point is a solution to the system?
(0,-1)
(2,3)
(4,0)
(6,-6)
a solution to the system of inequalities will be a point within the intersection region, namely the region overlapped by both, Check the picture below.
Find the midpoint M of the line segment joining the points C = (-8, -8) and D = (-2, 6)?
[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ C(\stackrel{x_1}{-8}~,~\stackrel{y_1}{-8})\qquad D(\stackrel{x_2}{-2}~,~\stackrel{y_2}{6}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ -2 -8}{2}~~~ ,~~~ \cfrac{ 6 -8}{2} \right) \implies \left(\cfrac{ -10 }{2}~~~ ,~~~ \cfrac{ -2 }{2} \right)\implies (-5~~,~~-1)[/tex]
Which expression is equivalent to -75.4+ (-63.4)−75.4+(−63.4)
Expression is equivalent to - 277.6.
Simplify:
-75.4+ (-63.4)−75.4+(−63.4)
-75.4 - 63.4 −75.4 − 63.4
- 277.6
In mathematics, simply or simplification is reducing the expression/fraction/problem during a simpler form. It makes the matter easy with calculations and solving.
Here are the essential steps to follow to simplify an algebraic expression:
Remove parentheses by multiplying factors.
Use exponent rules to get rid of parentheses in terms with exponents.
Combine like terms by adding coefficients.
Combine the constants.
Here's differently to explain it: The is used to refer to a specific or particular member of a group. for instance, "I just saw the foremost popular movie of the year." There are many movies, but just one particular movie is the most popular.
To learn more about Simplify from the given link:
brainly.com/question/17579585
#SPJ9
Two angles are supplementary. The larger angle is 88∘ more than the smaller angle. Find the measure of the larger angle.
Step-by-step explanation:
Mathematically the statement can be written as
SUPPLEMENTARY Angles add up to 180°
x+y=180°....(1)
let y be the larger angle and x be the smaller angle.
y=x+88°....(2)
plug in the (2) in the first equation
[tex]x + (x + 88) = 180 \\ 2x + 88 = 180 \\ 2x = 180 - 88 \\ 2x = 92 \\ \frac{2x}{2} = \frac{92}{2} \\ x = 46[/tex]
the measure of the larger angle is y=x+88°
[tex]y = 46 + 88 \\ y = 134[/tex]
The bigger angle is equal to 134°
HOPE THIS HELPS!!!!
Answer: 134°
here's your answer
Suppose a relationship is proportional and the point (4,10) lies on the graph of the proportional relationship. Name another point, other than (0,0), that lies on the graph of the line. Please help me.
Another point on function assuming it as direct and linear proportion with the independent variable will be (1,5/2).
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Let,s suppose the given graph is a direct relationship and linear as well.
Now,
y ∝ x
By removing proportion,
y = kx
Since (4,10) lies on the graph thus it must satisfy the equation.
So,
y = kx
10 =k (4)
k = 10/4 = 5/2
So the equation is y = (5/2)x
Now corresponding to x = 1 ⇒ y = 5/2
So point (1,5/2) lies on the graph.
Hence "Another point on function assuming it as direct and linear proportion with the independent variable will be (1,5/2)".
For more about the equation,
https://brainly.com/question/10413253
#SPJ1
at a recent school event the booster club was selling school flags and t-shirts as a fundraiser each school flag was sold for $2 and each t-shirt sold for $5 they sold a total of 220 items and made a total of $695 how many of each type did they sell
Write a system of linear equations to model this situation
Answer:
The number of school flags sold are 135 and the number of t-shirts sold are 85.
Step-by-step explanation:
It is given that at a recent school event the booster club was selling school flags and t-shirts as a fundraiser each school flag was sold for $2 and each t-shirt sold for $5 they sold a total of 220 items and made a total of $695.
Now, let us analyze these statements one by one;
Each school flag for the fundraiser was sold for dollar = $2
Each t-shirt for the fundraiser was sold for dollar = $5
Further, they sold a total of 220 items including the school flags and t-shirts and made a total of $695.
Now, let us assume that;
The number of school flag for the fundraiser sold are 'x' and
The number of t-shirts for the fundraiser sold are 'y'
So, we can formulate an equation from the given conditions;
=> 2x + 5y = 695
and
=> x + y = 220
Now, on solving both the equations and putting the value of x in another equation we get;
=> x + y = 220
=> x = 220 - y
Furthermore,
=> 2x + 5y = 695
=> 2 (220 - y) + 5y = 695
=> 440 - 2y + 5y = 695
=> 440 + 3y = 695
=> 3y = 695 - 440
=> 3y = 255
=> y = 255/3
=> y = 85
Now, let us put the value of y in one of the equations formed on the given conditions;
=> x = 220 - y
=> x = 220 - 85
=> x = 135
Therefore, the number of school flags sold are 135 and the number of t-shirts sold are 85.
To know more about this topic, click here:
https://brainly.com/question/23380024
#SPJ9
Multiply.
[−135⋅(−6)]⋅(−334)⋅10
Answer:
-2705400
Step-by-step explanation:
[−135⋅(−6)]⋅(−334)⋅10
[810} · (-334) · 10
[810] · -3340
-2,705,400
I hope this helps!
five and five hundred sixty -two thousandths in expanded form
When five and five hundred sixty -two thousandths is written in expanded form, the result is 5 + (5 x 0.1) + (6 x 0.01) + (2 x 0.001).
How to write in expanded form?When writing in expanded form, you should multiply each figure by the power of 10 that corresponds with their position.
Tens will be multiplied by 10
Tenths will be multiplied by 0.1
Hundredths will be multiplied by 0.01
Thousandths will be multiplied by 0.001
These numbers are then added to each other.
Five and Five hundred sixty -two thousandths is 5.562 so when written in expanded form it becomes:
5 + (5 x 0.1) + (6 x 0.01) + (2 x 0.001)
Find out more on expanded form at https://brainly.com/question/91057
#SPJ1
what is the foil method ive seen people use that as a explnation for expressing trynomials for stuff like (3x+1)(2x-1)
Answer:
First, Outer, Inner, Last: Usually referred to as FOIL for simplicity is a rule for expanding polynomials. It is quite straight forward. You can do as follows for any binomial expression multiplied by a secondary binomial as you have provided.
(3x+1)(2x-1).
Step 1 of FOIL is to multiply the first 2 expressions in your binomials.
(3x)(2x) = 6x^2
Step 2 is to multiply the first by the last
(3x)(-1) = -3x
Step 3 is to do the last by the first
(1)(2x) = 2x
Step 4 is to do the last by the last
(-1)(1) = -1
You are left with the following:
6x^2 -3x + 2x -1
ADD LIKE TERMS!!
6x^2 -x -1
Remember, -x and -1x are the same!
Hope that helps!
A random experiment has sample space Ω = {a, b, c} and probabilities pa = 1/7, pb = 2/7 and pc = 4/7. Describe an urn experiment that can be used to simulate this random experiment.
To find the probability of an outcome the steps are as follows:
Find the total number of outcomes of the random experiment. Find the number of favorable outcomes. Divide step 2 by step 3 to determine the probability.The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive .Urn -some objects of real interest are represented as colored balls .
Given data
space Ω = {a, b, c}
p(a )= 1/7,
p(b) = 2/7 and
p(c) = 4/7.
p(E) = p(a) + p(b) +p(c).
where p(E) = random experiment i. e. union
p(E) = 1/7 + 2/7 + 4/7
p(E) = 7/7
p(E) =1
An outcome is a result of a random experiment. The set of all possible outcomes is called the sample space. Thus in the context of a random experiment, the sample space is our universal set. Here are some examples of random experiments and their sample spaces:
Random experiment: toss a coin; sample space: S={heads,tails} or as we usually write it, {H,T}.
Random experiment: roll a die; sample space: S={1,2,3,4,5,6}.
Random experiment: observe the number of iPhones sold by an Apple store in Boston in 2015; sample space: S={0,1,2,3,⋯}.
Random experiment: observe the number of goals in a soccer match; sample space: S={0,1,2,3,⋯}.
To learn more about Random Experiment
Visit - https://brainly.com/question/28107339
#SPJ9
Given that your allotted budget for a week in $500, find the amount that you saved from your budget.
If my allotted budget for a week in $500, and considering I spend $400 dollars as my complete expenses up till the end of the week, (since no information about my expenses is the question statement), the amount that I will be able save from my budget is $100, calculated using basic subtraction.
As per the question statement, my allotted budget for a week in $500 and there is no further information about my expenses for the week. Hence, Let us consider that I had to spend $400 dollars as my complete expenses for the week.
We are required to calculate the amount that I will be able save from my budget.
To solve this question, we simply have to subtract my total week's expenses from my weekly budget, i.e., [tex][(500-400)=100][/tex].
Hence, I will be able to save upto $100 from my weekly budget.
Subtraction: In Mathematics, subtraction is one of the basic operations, where we take a matrix, vector, or other quantity away from another, under specific rules to obtain their difference.To learn more about Subtraction, click on the link below.
https://brainly.com/question/2346316
#SPJ1
WHO EVER GETS THIS QUESTION RIGHT WILL GET 30 POINTS!
A school district has paid a construction business 1.5 million to build a school, but still needs to pay the construction business 12.35 million for the total amount of work. How much will it cost to build the school?
PLEASE SHOW WORK!
It will cost 13.85 million to build the school
How to calculate the amount of money it will take to build the school ?The school district paid a construction business 1.5 million to build a school
They still need to pay 12.35 million for the total amount of work
Therefore the cost of building the school can be calculated as follows
= 1.5 million + 12.35 million
= 13.85 million
Hence it will cost 13.85 million to build the school
Read more here
https://brainly.com/question/18123532?referrer=searchResults
#SPJ1
If the sum of a number and six is tripled, the result is four less than twice the number. Find the number.
A diagonal of a rectanglar field is 16.9m. If the ratio of the length to the width is 12:5, find the (a) dimensions, (b) Perimeter of the field
we get that the length of the rectangular field is 15.6 m, width is 56.5 m and the perimeter is 44.2 m.
The diagonal of a rectangular field = 16.9 m
d = 16.9 m
Ratio of length to the width is 12 : 5
Let length be 12 x
Width = 5 x
We get that:
16.9² = (12 x)² + (5 x)²
285.61 = 144 x² + 25 x²
169 x² = 285.61
x² = 285.61 / 169
x² = 1.69
x = √1.69
x = 1.3 m
Length = 12 (1.3 m) = 15.6 m
Width = 5 (1.3 m ) =6.5 m
Perimeter = 2 ( l + w)
P = 2( 15.6 + 6.5)
P = 2(22.1) m
P = 44.2 m
Therefore, we get that the length of the rectangular field is 15.6 m, width is 56.5 m and the perimeter is 44.2 m.
Learn more about perimeter here:
https://brainly.com/question/397857
#SPJ9
rearrange the equation to make x the subject a=4x/t-p
If we rearrange the equation to make x the subject a=4x/t-p, then we will have [tex]x= \frac{a(t-p)}{4}[/tex]
How can the equation be re arrange to make x the subject a=4x/t-p?from the question we were given the equation a=4x/t-p which is required to rearrange so that X can be made the subject of the formular, and this can be done below:
[tex]a=\frac{4x}{t-p}[/tex]
[tex]4x= a(t-p)[/tex]
[tex]x= \frac{a(t-p)}{4}[/tex]
Therefore If we rearrange the equation to make x the subject a=4x/t-p, then we will have , [tex]x= \frac{a(t-p)}{4}[/tex] because if we make the x the subject of the formular it will stay alone at the one side when all other term at the opposite side.
Learn more about equation at:
https://brainly.com/question/13763238
#SPJ1
NOTE; This is a complete question , no given option , even on internet.