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This scale drawing shows a reduction in a figure.
What is the value of x?
Enter your answer as a decimal in the box.
X =
Answers
The value of x for the second triangle if it is the reduction of the first drawing is 6.3 feet.
Given two triangles.
Also given that, the scale drawings given are the reduction of the figure.
Most probably, the second triangle must be formed after a reduction with a scale factor of k.
Let k be the required scale factor.
The value of k can be found by taking the ratio of the corresponding sides.
k = 5.2 / 10.4
= 0.5
So all the corresponding sides will be half of the first triangle.
x = 0.5 × 12.6
= 6.3 feet
Hence the value of x is 6.3 feet.
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Related Questions
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
Answers
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
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A railroad crew can lay 7 miles of track each day. They need to lay 189 miles of track. The length L (in miles) that is left to lay after d days is given by the following L (d)=189-7d
Answers
The number of days it will take the crew to lay all the track is; 27 days
The number of miles of track the crew has left to lay after 18 days is; 65 miles
How to solve Algebraic Equations?
We are given the equation that represents the length L (in miles) that is left to lay after d days as;
L(d) = 189 - 7d
where;
L is length in miles
d is number of days
Thus, the number of days it will take to lay all the tracks is;
Number of days = 189/7
Number of days = 27 days
The length L (in miles) that is left to lay after 18 days is;
L= 189 - 7(18)
L= 189 - 126
L= 65 miles
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Complete question is;
A railroad crew can lay 7 miles of track each day. They need to lay 189 miles of track. The length, L (in miles), that is left to lay after d days is given by the following function. L(d) = 189 - 7d
(How many days will it take the crew to lay all the track?)
(How many miles of track does the crew have left to lay after 18 days?)
Ahmed is planning to cook his family dinner and needs to purchase several food items. He is able to purchase these items either at the local grocery store or the farmer's market. Given in the table are the items and their prices.
Grocery Store Farmer's Market
8 tomatoes for $13.20 10 tomatoes for $17.50
4 cups of mozzarella cheese for $4.60 3 cups of mozzarella cheese for $3.30
12 eggs for $3.00 7 eggs for $1.40
Part A: Choose one of the food items offered at the grocery store and the farmer's market and determine the unit price of the item at each location. Show all necessary work, including the name of the item chosen. (6 points)
Part B: Based on your answer in part A, which location offers a better deal? Explain
Answers
Part A: Grocery Store: unit price = $1.65 (Tomatoes)
Farmer's Market: unit price = $1.75
Part B: Grocery Store offers a better deal because the unit price is less.
How to determine the unit price of the item at each location?Unit price is defined as the price for one of something. For example, if 10 oranges cost $50, the unit price will be $50/10 = $5 i.e. $5 for one orange.
PART A:
Let's choose tomatoes
Grocery Store
8 tomatoes for $13.20
Unit price = $13.20/8 = $1.65
Farmer's Market10 tomatoes for $17.50
Unit price = $17.50/10 = $1.75
Part B:
The location that offers a better deal is Grocery Store. This is because the unit price is less.
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I NEED HELP PLEASE!!!
Answers
May anyone help me pls
Answers
Step-by-step explanation:
b is the smallest and then a , d, c, e
Select the correct answer. Which expression is equivalent to the given expression? (6n^-5)(3n^-3)^2
Answers
The equivalenet expression is 54\(n^{-11}\)
What is expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.
What is exponent?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
To simplify the given expression, we need to apply the power of a power rule, which states that to raise a power to another power, we need to multiply the exponents.
Starting with:
(\(6n^-5\))(\(3n^-3\))²
We can simplify as follows:
(\(6n^-5\))(\(9n^-6\))
Now, we can use the product of powers rule, which states that when multiplying two powers with the same base, we add their exponents.
Therefore:
6 x 9 = 54
\(n^-5 * n^-6 = n^-11\)
So the simplified expression is:
\(54n^-11\)
Therefore, the expression \((6n^-5)(3n^-3)^2\) is equivalent to \(54n^-11.\)
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The expression that is equal to (6n-5)(3n-3) option D, 54n11.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
We can use the distributive property of multiplication to expand the expression (6n - 5)(3n - 3) as follows:
(6n - 5)(3n - 3) = 6n(3n) - 6n(3) - 5(3n) + 5(3)
= 18n² - 18n - 15n + 15
= 18n² - 33n + 15
Therefore, the expression that is equivalent to (6n - 5)(3n - 3) is 18n² - 33n + 15, which is option D.
So, the answer is option D, 54n11.
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HELP ME ALSO WITH THIS!!!!!
Answers
Explanation:
Start by multiplying both sides of the second equation by -2. Now line up both equations and add them to each other. Since the 2y and -2y cancel out, you are left with -10x = -60. Thus, you get x = 6 and can plug it back in to either equation to solve for y. After that, you are left with the solution (6,3).
If Ryan does a job in 10 hours and with the help of Chelsea they can do it together in 5 hours, how long would it take Chelsea to do it alone?
Answers
It would take her 10 hours. If it is double the time for one person to complete the task versus two, you can guess that the other person takes the same amount of time
The perimeter of the triangle is 59 cm
Answers
If f(x) it varies directly with X and f(X)=90 when x=10, find the value of f(x) when x=7
Then round to the nearest whole number
Answers
Answer:
(5/2,9)
Step-by-step explanation:
Midpoint Formula: (((x1+x2)/2),((y1+22)/2))= (((-6+11)/2),((13+5)/2))= (5/2,9)
help me I don't know which one it is ASAP
Answers
Answer: It is credit discount.
Step-by-step explanation:
Answer:
Markup
Step-by-step explanation:
It is a markup because they use a markup to make profit. I hope this helps, :)
800 adults were surveyed to find out how many notes per week they cook dinner 60% indicated that they cooked dinner more than four nights at per week based on the results of the survey how many adults out of a group of 2000 to cooked dinner more than four nights per week
Answers
Answer:
1200
Step-by-step explanation:
60 x
- = -
100 800
There are 2 ways to solve this.
1) 800 x 60= 48,000
Divide by 100= 480
x=480
2) Multiply 60 by 8.
Now there are another 2 ways to go.
1) 480 x
- = -
800 2000
OR2) 60 x
- = -
100 2000
I recommend the second option for both. It is easier. The second option allows you to find and equal ratio, with less of the hassle.To get 2000, 100 must be multiplied by 20. So.... multiply 60 by 20 to get a equal ratio.
Your answer is 1200. Meaning 1200 adults cooked dinner more than four nights per week.
I hope this helps you significantly
~~~LampteyJ
Answer:
1200
Step-by-step explanation:
Need answers please help
Answers
Answer
Yes, zero is contained in the interval
Victor knows who killed his brother, but remains silent in chapters 5-8 of Frankenstein. Why?
A. He doesn't want to be executed.
B. He fears people will think he's insane if he tells the truth.
C. He is afraid Elizabeth will hate him.
D. He is afraid of being expelled from school.
Answers
Answer: b
Step-by-step explanation:
i took the quiz duhh
give a proper fraction whose denominator and denominator add up to 10
Answers
9514 1404 393
Answer:
1/9, 2/8, 3/7, 4/6
Step-by-step explanation:
The fraction will be proper when the numerator is less than the denominator. That means numerators can be less than 10/2 = 5. The fractions that satisfy the requirement are ...
1/9, 2/8, 3/7, 4/6
Those with even numerators can be reduced. So the reduced fractions are ...
1/9, 3/7
Find the least number which when divided by 35, 56 and 91 leaves the same remainder 7 in each case
Answers
Answer: 3647
Step-by-step explanation:
The smallest number when divided by 35, 56, 91 leaves a remainder of 7 in each case = 3640 + 7 = 3647.
PLEASE PLEASE PLEEEASE HURRY! ILL GIVE 20 POINTS!!! WILL GIVE BRAINLIEST!
Answers
Answer:
y = 3x + 3
Step-by-step explanation:
y = mx + b
m = slope
m = y2-y1/x2-x1 = 9-6/2-1 = 3/1 = 3
m = 3
b = y-intercept
b = 3
Answer:
The answer would be y = 3x + 3.
Step-by-step explanation:
Which of the following is a list that follows this pattern with its numbers: prime, prime, prime, composite, prime, prime 1, 5, 7, 9, 11, 13 1, 2, 5, 7, 9, 15 2, 4, 6, 8, 10, 12 11, 9, 3, 2, 5, 4, 8
Answers
The correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.
What are prime and composite numbers?Prime numbers:-
The prime number is defined as the number which is divided by 1 and itself.
Composite numbers:-
The number is defined as the composite number when the number is divided by 1 itself and any other numbers also.
From the given options we need to choose the pattern of the series { prime, prime, prime, composite, prime, prime } so we can see that in option A correct pattern is followed.
Pattern { 1, 5, 7, 9, 11, 13 }
1 → prime
5 → prime
7 → prime
9 → composite
11 → prime
13 → prime
Therefore the correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.
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Lynnette can wash 95 cars in 5 days. How many xars does she wash each day
Answers
Answer:
19 cars
Step-by-step explanation:
Answer:
19 cars
Step-by-step explanation:
because 95 divdide by 5 is 19
Given the ratio below, draw the triangle and find the other two trig ratios for it. Show yo
sin 0 = 8/10
Answers
the complete set of trig ratios for this triangle is: sinθ = 8/10, cosθ = 3/5, tanθ = 4/3
To draw the triangle, let's label one of the acute angles as θ and the side opposite that angle as 8 (since sinθ = opposite/hypotenuse and sinθ = 8/10). We can then label the hypotenuse as 10 (since it is given in the ratio) and use the Pythagorean theorem to find the adjacent side:
a² + b² = c²
a² + 8² = 10²
a² + 64 = 100
a² = 36
a = 6
Now we can find the other two trig ratios:
cosθ = adjacent/hypotenuse = 6/10 = 3/5
tanθ = opposite/adjacent = 8/6 = 4/3
Therefore, the complete set of trig ratios for this triangle is:
sinθ = 8/10
cosθ = 3/5
tanθ = 4/3
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Which point is a solution to the inequality shown in this graph?
(5.0)
O A. (60)
O B. (0, -3)
O C. (5,-5)
ОО
D. (0,-5)
Answers
The owner of a quick oil-change business charges
$
36
per oil change and has
40
customers per day. If each increase of
$
3
results in
2
fewer dailer customers, what price should the owner charge (to the nearest
$
3
) for an oil change if the income from the business is to be as great as possible?
Answers
Answer:
the sun is actually a planet
Step-by-step explanation:
The spinner is divided into 5 equal sections. Trina is going to spin the arrow once.
red
green
yellow
red
What is the probability that the arrow will land on a red section?
A 20%
B. 25%
C. 40%
D. 50%
E. 67%
Answers
Answer:
Did you mean 4 equal sections, not 5 equal sections?
Step-by-step explanation:
Did you mean 4 equal sections, not 5 equal sections?
Answer:
ther answer is 100% c
Step-by-step explanation:
i did the test
Is this statement true or false?
This is a rational number: -2
True or False
Answers
Answer:
True
Step-by-step explanation:
rational numbers are integers and whole numbers.
Gravity acceleration at the Earth surface is 9.81 m/s². What is the acceleration in inches/s² (rounded to the nearest tenth) ?
Answers
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
To convert the acceleration from meters per second squared (m/s²) to inches per second squared (in/s²), we need to use the conversion factor between the two units.
1 meter is equal to 39.37 inches.
To convert the units, we can set up the following conversion factor:
1 m/s² = (39.37 in/m)^2 = 1550.0031 in/s²
Now, we can multiply the given acceleration in m/s² by the conversion factor to obtain the acceleration in in/s²:
Acceleration in in/s² = 9.81 m/s² * 1550.0031 in/s²
Acceleration in in/s² ≈ 15222.7568 in/s²
Rounded to the nearest tenth, the acceleration in inches per second squared is approximately 15222.8 in/s².
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Answer two questions about Systems AAA and BBB: System AAA \text{\quad}start text, end text System BBB \begin{cases}x-7y=-3\\\\4x+y=7\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ x−7y=−3 4x+y=7 \begin{cases}4x+y=7\\\\x-7y=-3\end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ 4x+y=7 x−7y=−3 1) How can we get System BBB from System AAA?
Answers
Answer:
A System
5x+y=3
4x−7y=8
B System
5x+y=3
x+8y=−5
1) How can we get System B from System A?
CORRECT (SELECTED)
Replace one equation with the sum/difference of both equations
2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?
CORRECT (SELECTED)
Yes
Calculator
What is the value of x in the triangle?
Enter your answer in the box. Round your final answer to the
nearest hundredth.
URGENT
Answers
Answer:
23.78 cm
Step-by-step explanation:
size of the missing angle is (180 - 90 - 18) = 72°
angle 72° is opposite the side x. angle 90° is opposite side 25.
x/sin 72 = 25/sin 90
multiply both sides by sin 72:
x = (25 X sin 72) / sin 90
= (23.78) / 1
= 23.78 cm
Shen the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were clients who did Plan A and who did Plan B. On Thursday there were clients who did Plan A and who did Plan B. Shen trained his Wednesday clients for a total of hours and his Thursday clients for a total of hours. How long does each of the workout plans last?
Answers
The length of time that it will take for each of the workout sessions would be: Plan A = 1.5 hours, and Plan B = 0.5 hours.
What would be the length of the sessions?The length of the sessions can be obtained by first obtaining drawing a system of equations for the two cases. On Wednesday, we can represent the sessions as follows:
2A + 12B = 9 hours
On Thursday, we would have
5A + 3B = 9 hours
2A + 12B = 9 Eqn 1
5A + 3B = 9 Eqn 2
Multiply equation 2 by -4
2A + 12B = 9
-20A - 12B = -36
2A - 20A = 9 -36
-18A = -27
Divide both sides by -18
A = 1.5 hours
For B, substitute A in the first equation
2(1.5) + 12B = 9
3 + 12B = 9
12B = 9 - 3
12B = 6
Divide both sides by 12
B = 0.5
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Complete Question:
Ann the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 2 clients who did Plan A and 12 who did Plan B. On Thursday there were 5 clients who did Plan A and 3 who did Plan B. Ann trained her Wednesday clients for a total of 9 hours and her Thursday clients for a total of 9 hours. How long does each of the workout plans last?
a number is one more than twice the other number. their product is 36. what are the numbers
Answers
Answer:
Possible solution 1: -4.5 and -8
Solution 2: 4 and 9.
Step-by-step explanation:
Let the two numbers be a and b.
One of them (let it be b) is 1 more than twice the other one. In other words,
b= 1+ 2a.
Their product is 36. Or:
a(b) = 36.
Substitute b:
a(1+2a) = 36
2a^2 + a = 36
2a^2 + a - 36 = 0
This is now a quadratic. We can factor to solve it. Find two numbers that equals 2(-36)=-72 and add to 1. We can use 9 and -8. Thus:
2a^2 - 8a + 9a - 36 = 0
2a(a - 4) +9(a-4) = (2a+9)(a-4) = 0
So, a = -9/2 = -4.5 or a = 4.
Thus, b can equal 1 + 2(-4.5) = -8 or 1 + 2(4) = 9
At Riverview High School, 120 students were asked whether they prefer a lion or a timber wolf as a new school mascot. The two-way frequency table shows the results of the survey. A what is the probability of randomly selecting a student who is the girl that prefers the timber wolf.B what is the probability of randomly selecting a student who is not a boy that prefers the lion?
Answers
A.
Probability of randomly selecting a student who is the girl that prefers the timber wolf = number of girls that prefer Timber wolf / Total number of student
\(P(g,tw)=\frac{no(g,tw)}{total}=\frac{19}{120}=0.1583\approx15.83\)B.
Probability of randomly selecting a student who is not a boy that prefers the lion = (total number of students - number of boys that prefers the lion) / Total number of student
\(P=\frac{total-no(b,lion)}{total}=\frac{120-40}{120}=\frac{80}{120}=0.6667\approx66.67\)