The scale used by Wyatt is; 11 inches : 4 yards.
What is defined by the term scale factor?The Scale Factor is utilised to scale forms in various dimensions. The scale factor is a measurement for figures with similar appearances but distinct scales or measures. Assume two circles appear similar but have different radii.The scale factor specifies how much larger or smaller a figure is than the earlier figure.Now, for the given values in question.
For the area of picnic is 84 yards.= long.
The length in the drawing is 31 inches.
Let the scale for yards is 'x'.
Then;
231 inches: 84 yards = 11 inches: x yards
Write in the fraction form,
231/84= 11/x
Cross multiplying;
x = (11×84)/231
x = 4
Thus, scale becomes; 11 inches : 4 yards.
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At the library, Newton borrows 8 books and Descartes borrows 4 books. 7 of their books are nonfiction. The rest are fiction. How many fiction books did they borrow together?
5
First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation. Linear equations in two variables, for example, are used when a linear equation contains two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
Total books borrowed = 8+4 = 12
No. of non - fiction books = 7
No. of fiction books = 12 -7
= 5
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Ella's bait and tackle shop sold 128,107 live worms in april and 102,278 live worms in may to the nearest thousand how many worms did ella's bait and tackle shop sell in april and may together
Ella's bait and tackle shop sells 230,385 in April and May.
Based on the given conditions, formulate:
Bait and tackle sold in 128,278 live worms in April
Bait and tackle sold in 102,278 live worms in May
So the total number of Bait and tackles sold in April and May =
=128,107+102,278
= 230,385
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(-13,2)(-17,9) find the slope of the line through each pair of points
Work Shown:
[tex](x_1,y_1) = (-13,2) \text{ and } (x_2,y_2) = (-17,9)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{9 - 2}{-17 - (-13)}\\\\m = \frac{9 - 2}{-17 + 13}\\\\m = \frac{7}{-4}\\\\m = -\frac{7}{4}\\\\[/tex]
A slope of -7/4 means that we move down 7 and to the right 4.
What is the f(n) for -5?
A.4
B.1
C.-1
D.-6
Enjoys town about 33 out of 100 cats are black if joe walks by 21 cats in one week predict how many of those cats are black
If joe walks by 21 cats in one week then 7 cats are black.
Percentage can be defined as a ratio that is expressed as fraction of 100.
For Example , 1%= 1/100
Given that Joe's town there are 33 black cats
Total cats = 100.
The percentage of black cats in town =[tex]\frac{33}{100}[/tex]=33%
Number of cats joe sees in a week =21
Number of black cats joe sees in a week will be = 33% of 21
[tex]=21*\frac{33}{100} \\ \\ =\frac{693}{100} \\ \\ =6.93\\ \\[/tex]= approx. 7
Therefore , If joe walks by 21 cats in one week then 7 cats are black.
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What is the quotient -3 divided by 9 fractions
Answer:
well it would be [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
Simply put [tex]-\frac{3}{9}[/tex]. The top and bottom are divisible by 3 so you simplify and you end up with negative one third.
Find the midpoint AND length of each segment with the given endpoints. Round to the nearest tenth of necessary.
J(4,3) & K(2-3) L(-4,5) & N(5,-3)
Midpoint: Length: Midpoint: Length:
The midpoint and length of the points J(4,3) and K(2,-3) is calculated as (1,0) and 40.
The midpoint and length of the points L(-4,5) and N(5,-3) is calculated as (-12,1) and 145.
Given : The endpoints J(4,3) and K(2,-3) and L(-4,5) and N(5,-3)
We need to find the midpoint and length of these endpoints.
The formula for midpoint is x1+x22, y1+y22
From the first endpoints, x1=4 , y1=3 , x2=2 , y2=-3
4+22, 3-32 => (22,02) => (1,0)
So, the midpoint for the endpoints is (1,0)
The formula to find the length is (x2-x1)2+(y2-y1)2
From the first endpoints , the length becomes
(2-4)2+((-3)-3)2=> (-2)2+(-6)2 => 4+36 => 40
The formula for midpoint is x1+x22, y1+y22
From the first endpoints, x1=-4 , y1=5 , x2=5 , y2=-3
-4+52, 5-32 => (-12,22) => (-12,1)
So, the midpoint for the endpoints is (-12,1)
The formula to find the length is (x2-x1)2+(y2-y1)2
From the first endpoints , the length becomes
(5+4)2+((-3)-5)2=> (9)2+(-8)2 => 81+64 => 145
Hence, the midpoint and the length from the endpoints is calculated and determined.
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Choose the numbers that are equivalent to three and two ninths. twenty-nine ninths, 3.2 repeating where the 2 is repeating, 322.2 repeating percent where the 2 is repeating twenty-nine ninths, 3.29, 329% six ninths, 3.2 repeating where the 2 is repeating, 322.2% six ninths, 3.29, 329%
Answer: D
Step-by-step explanation:
i did the test
A small town has two local high schools. High School A currently has 850 students and is projected to grow by 75 students each year. High School B currently has 1000 students and is projected to grow by 65 students each year. Let AA represent the number of students in High School A in tt years, and let BB represent the number of students in High School B after tt years. Write an equation for each situation, in terms of t,t, and determine which high school is projected to have more students in 11 years.
Answer:
For High School A, let denote the number of students after years. Define analogously.
Then and .
After 6 years the number of students in both high schools would be the same.
Step-by-step explanation:
For High School A, let denote the number of students after years. Define analogously.
Since we start out at 850 students at High School A and it is growing by 35 students every year, we must have that .
Since we start out at 700 students at High School B and it is growing by 60 students every year, we must have that .
Setting the two equations equal to each other, we see that
So after 6 years the number of students in both high schools would be the same.
What's the GCF of 30,60 and 78
Answer:
6
Step-by-step explanation:
Answer: 6
Step-by-step explanation:
First, take the prime factorization of all 3 numbers.
30: 15*2 ==> 5*3*2
60: 30*2 ==> 15*2*2 ==> 5*3*2*2
78: 39*2 ==> 13*3*2
Notice any common factors? That's the GCF.
GCF: 3*2=6
GCF: 6
EASY NEED THE ANSWER FAST
b: 3 x 10 to the power of 7
can you please give brainliest
how do you turn this root into a power?
√5
Answer:
5^(1/2)
Step-by-step explanation:
Square root means to the power of (1/2)
cube root means to the power of (1/3)
and so on
Dorothy earns a regular hourly rate of $15.25 and earns double time and a half for weekend work. Dorothy worked her normal 40 hours and 8 weekend hours.
Answer:$976
Step-by-step explanation:
add 7.5m, 2.25 and 50cm and give results in metres
The sum of the three values is 10.25 meters.
Here, we are given three measurements- 7.5m, 2.25m and 50cm
Since, we need to find the answer in meters, let us convert all the units to meters so that we can add them.
7.5 and 2.25 are already in meters so we do not need to covert them.
We only need to convert 50 centimeters.
As per mathematical conversions,
1 meter = 100 centimeters
This means that 50 centimeters will be,
100/2 centimeters = 1/2 meters
⇒ 50 centimeters = 0.5 meters
Now, we add all the given numbers,
= 7.5 + 2.25 + 0.5
= 9.75 + 0.5
= 10.25
Thus, the sum is 10.25 meters.
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Fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of?
The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of "Law of Multiple Proportions."
What is Law of Multiple Proportions?When two elements combine to form and over one compound, the weights with one element which combine with such a fixed weight of the second are in a ratio of small whole numbers, according to the law of multiple proportions.
Some key features regarding the Law of Multiple Proportions are-
There are five distinct nitrogen oxides, for example, and the weights of oxygen in mixture with 14 grams of nitrogen are, in ascending order, 8, 16, 24, 32, and 40 grams, or in a ratio of 1, 2, 3, 4, 5. The English chemist John Dalton announced the law in 1803; its verification for a broad range of compounds delivered to be the most powerful evidence in favor of Dalton's theory that matter is made up of indivisible atoms.To know more about Law of Multiple Proportions, here
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The complete question is-
Carbon monoxide can be broken down into carbon and oxygen in a mass ratio of 3:4 or 0.75. Carbon dioxide can be broken down into carbon and oxygen in a mass ratio of 3:8 or 0.375. The fact that the ratio of 0.75 to 0.375 is a small whole number is an illustration of
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Answer: kndkfnsjkfrjgkbgjb
Step-by-step explanation:
listen to koRn
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What, approximately, is the percent uncertainty for the measurement given as 1.59 m²?
Answer: The approximately percent uncertainty for the measurement is 0.62%.
Step-by-step explanation:
The given parameters:
Area of the measurement, A = 1.59 m²
The uncertainty in the measurement of the area = ±0.01 m²
The approximately percent uncertainty for the measurement is calculated as follows;
[tex](0.01/1.59)*100[/tex] %
=0.62%
Thus, the approximately percent uncertainty for the measurement is 0.62%.
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Answer: 0.6 percent.
Step-by-step explanation: to find the uncertainty , we will take that absolute uncertainty _0.01 divided by the measurement of 1.59 _ times by a hundred percent and we get 0.6 percent.
8th grade Mathematics
A line has a slope of -3 and a y-intercept of 3.
What is the slope of the line?
O. -9
O. -1
O. 1
O. 9
I appreciate all of your answers even if they are wrong, thanks!! :)
Answer:
1
Step-by-step explanation:
(a) What was the maximum height the rocket reached?
After how many seconds?
Answer:
Can you provide more info? Like is there a graph that comes along with this question?
Step-by-step explanation:
Pls help me im stuck
Write two scoring questions pertaining to your game that you could give to another student to answer. each question must require the other student to operate with integers. include both an answer key and a solution key for each question.
The required question for another student is to find out how many goals will be scored by both teams in 90 minutes if the game.
In mathematics, it deals with numbers of operations according to the statements.
Here,
In order to make the question,
1. In a football match, there are two teams competing, team A scoring 1 goal every 10 mins while team B scores 1 goal in every 15 minutes, so find out how many goals will be scored by both the teams in 90 minutes if the game.
Solution;-
For every ten minutes team score a goal so in 90 minutes,
= 90/10 * 1
= 9
Similarly,
For team B
= 90/15 * 1
= 6
Answer:- Thus team A scores 9 goals in a game and team b scores 6 goals.
Thus, the required question, solution, and answer are mentioned above.
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un mesero gana $5 la hora, el sábado ganó $108 en propinas. si él hizo $128 En total cuántas horas trabajo? escribe una ecuasion y responde.
The waiter worked for 4 hours.
The waiter earns $5 an hour.The waiter earned $108 in tips. The waiter made $128 in total.The earnings of the waiter, excluding tips, are total minus the tips.The earnings of the waiter, excluding tips, are $128-$108.The earnings of the waiter, excluding tips, are $20.The Earnings Rate is the amount for each fund computed for each business day that represents the net rate of gain or loss on the assets of that fund.The earnings of the waiter due to work = number of working hours * Earning rate20 = Number of working hours * 5The number of working hours is 20/5.The number of working hours is 4 hours.To learn more about rate, visit :
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Anna is buying tomatoes and jalapenos to make salsa. Tomatoes cost $2.99 per pound and jalapenos cost $1.33 per pound. Anna spent $12.65 buying tomatoes and jalapenos. The relationship between pounds of tomatoes, t, pounds of jalapenos, j, and the total cost is represented by the equation 2.99t+1.33j=12.65. Write an equation that makes it easy to find the number of pounds of jalapenos if we know the number of pounds of tomatoes purchased.
The equation that makes it easy to find the number of pounds of jalapenos is j = (12.65 - 2.99t)/1.33.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Tomatoes cost $2.99 per pound and jalapenos cost $1.33 per pound. Anna spent $12.65 buying tomatoes and jalapenos.
2.99t + 1.33j = 12.65
Make the subject as j and solve the equation for j:
1.33j = 12.65 - 2.99t
j = (12.65 - 2.99t)/1.33
Thus, the equation that makes it easy to find the number of pounds of jalapenos is j = (12.65 - 2.99t)/1.33.
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For part a), sketch the figures on your own paper. Then, answer part b) below.
8
Figure 1
a. On your paper, sketch Figures 4 and 5.
b. How does the pattern grow? Explain how you know.
Submit Answer
Math formatter
Figure 2
insert into paragraph
Figure 3
Answer: the pattern grows by one square being added to the figure before it. I know because when I count the squares on figure one to three I count one block being added to each side.
Step-by-step explanation:
find the cumulative frequency
We get the cumulative frequency as:
3
7
13
22
29
36
37
We are given the data:
Daily Low(°F) Frequency
35 - 39 3
40 - 44 4
45 - 49 6
50 - 54 9
55 - 59 7
60 - 64 7
65 - 69 1
We have to find the cumulative frequency of the data.
We will do this by adding the data values of previous interval.
Daily Low(°F) Frequency cumulative frequency
35 - 39 3 3
40 - 44 4 7
45 - 49 6 13
50 - 54 9 22
55 - 59 7 29
60 - 64 7 36
65 - 69 1 37
Therefore, we get the cumulative frequency as:
3
7
13
22
29
36
37
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K
Membership warehouse clubs offer shoppers low prices, along with rewards of cash back on club purchases. If the
yearly fee for a warehouse club membership is $100 and the reward rate is 4% on club purchases for the year, then the
linear equation y=100-0.04x models the actual yearly cost of the membership y, in dollars. Here x represents the
yearly amount of club purchases, also in dollars.
a) Determine the actual yearly cost of the membership if club purchases for the year
The actual yearly cost of the membership if club purchases for the year is $40
What is actual yearly cost of the membership of the club?
The annual membership cost of Membership warehouse clubs is modelled based on the fact that yearly fee is $100 and that 4% is given off purchases the member make in the course of year, hence, the actual yearly cost is modelled as shown below:
y=100−0.04x
y= actual yearly cost of the membership=unknown
x=cost of purchases in the year=$1,500
y=100-0.04($1500)
y=100-60
y=actual yearly cost of the membership =$40
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Full question:
Membership warehouse clubs offer shoppers low prices, along with rewards of cash back on club purchases. If the yearly fee for a warehouse club membership is $100 and the reward rate is 4%
on club purchases for the year, then the linear equation
y=100−0.04x models the actual yearly cost of the membership y, in dollars. Here x represents the yearly amount of club purchases, also in dollars.
a) Determine the actual yearly cost of the membership if club purchases for the year are $1500.
On the following number line, what number would you plot at point C?
A
+++
6
06.038
6.408
6.82
6.983
6.1
6.2 6.3
B
++++
6.4 6.5 6.6
6.7
C
D
++++
6.9
7
6.8
Answer:
Step-by-step explanation:
69420 hello my name is 69420
D
S
Ed
D
3/2x - 2/3x =2
Find x
The value of x by simplified the given equation is 5/12.
By considering the given equation
3/2x - 2/3x =2
We are finding the value of x by simplify it.
(9-4)/6x=2
5/6x=2
5=12x
x=5/12
To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
If a fraction's top and bottom share only one additional common factor, it is said to be in its simplest form. In other words, the top and bottom cannot be divided further and remain full numbers. Simplest form is also referred to as "lowest words."
The reduced form of a fraction is another name for its most basic form. For instance, the simplest representation of a fraction with a common component of 1 is 34 The simplest form, however, is not 2/4 because 12 is a further simplification of 2/4 that can be written.
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Is 30/3 a natural number
Answer:
Yes
Step-by-step explanation:
30/3=10
10 is a whole number, so it is a natural number.
He said "l travel a lot in my job change into i direst speech
Step-by-step explanation:
the ratio between two circles vqjoizxcvu g çm