The length of the real airplane is equal to 45 feet.
What is scale factor?In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric figures such as airplanes, which can be used to either horizontally or vertically enlarge (increase) or reduce (decrease or compress) a function that represents their size.
Mathematically, the scale factor of a geometric figure can be calculated by dividing the dimension of the image by the dimension of the pre-image (original figure).
Since the scale factor is 1 in:9 ft, the length of the real airplane can be calculated by multiplying the given scale factor by 5 as follows;
Length of real airplane = (1 in : 9 ft) × 5
Length of real airplane = 5 in : 45 ft
Length of real airplane = 45 feet.
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Complete Question:
In a scale drawing the length of the airplane is 5 inches. What is the length of the real airplane? Scale factor: 1 in:9 ft
if 24 is not an even number, then 6 is divisible by 3
An art project has an area of 63.6 square inches what is the width in inches of the project
The art project with an area of 63.6 square inches and length of 12 inches, have a width of is 5.3 inches.
How to solve an equationAn equation is an expression that shows the relationship between two or more numbers and variables.
Area is the amount of space occupied by a two dimensional shape or object.
Let x represent the width and y represent the length
Let us assume that the art project is a rectangle with a length of 12 inches, since the area is 63.6 square inches, hence:
Area = length * width
63.6 = xy
63.6 = x(12)
x = 5.3 in
The width of the project is 5.3 inches.
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Use the distributive property to solve the following problems 40x43. 70x24
Answer:
Read below:
Step-by-step explanation:
To use the distributive property to solve 40x43, you can rewrite the expression as (40)(43) and then distribute the 40 to get:
40 * 43 = 40 * (40 + 3) = 40 * 40 + 40 * 3 = 1600 + 120 = 1720
To use the distributive property to solve 70x24, you can rewrite the expression as (70)(24) and then distribute the 70 to get:
70 * 24 = 70 * (20 + 4) = 70 * 20 + 70 * 4 = 1400 + 280 = 1680
An altitude and a median can be the same segment.
True
False
Answer:True
Step-by-step explanation:
A local cheese manafature is reducing the size of thier signiture cheese block from 1.25kg to 980g
Work out the percentage decrease?
Answer:
27.551%
Step-by-step explanation:
based on the given conditions ,formulate:
(1000x1.25-980)divide by 980
calculate the product or quotient :
1250 - 980 over 980 calculate the sum which would be 270 over 980
we gon cross out the common factor 27 over 98
rewrite the fraction as a decimal = 0.27551
multiply a number to both the numeration and denominator : 0.27551 x 100 over 100
now write as a single fraction 0.27551 x 100 / 100
calculate the product = 27.551 over 100
rewrite the fraction with denominator equals 100 to a presantage = 27.551
Question 3 (Multiple Choice Worth 1 points)
(05.05 MC)
Determine if the ordered pair (6,4) is a solution to the inequality y>-1/ 2x+7
Yes, because (6,4) is above the line
No, because (6,4) is below the line
Yes, because (6,4) is on the line
No, because (6,4) is on the line
Is the ordered pair (6,4) a solution to the inequality y > -1/2 x + 7: D. No, because (6,4) is on the line.
How to determine the true test point and ordered pair?In order to determine if this ordered pair (6, 4) is a true solution based on the given linear inequality, we would have to test the ordered pair by substituting their values into the linear inequality as follows;
For ordered pair (6, 4), we have the following:
y > -1/2x + 7
4 > -1/2 × (6) + 7
4 > -3 + 7
4 > 4 (False).
In this context, we can reasonably infer and logically conclude that the ordered pair (6, 4) is not a true solution for the given linear inequality because it is located on the line.
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w² +3 +16 ÷(2x) please help
Answer:
What grade is this ? I can help you
In the figure shown,trapezoid RSTU has vertices R(1,3),S(4,3),T(3,1),and U(2,1).
Draw the image RSTU after a dilation with a scale factor of 2,followed by a translation of 2 units down.Label the vertices EFGH
Answer:
To perform a dilation with a scale factor of 2, we multiply the x and y coordinates of each vertex by 2.
R(1,3) becomes R'(2,6)
S(4,3) becomes S'(8,6)
T(3,1) becomes T'(6,2)
U(2,1) becomes U'(4,2)
To perform a translation of 2 units down, we subtract 2 from the y-coordinates of each vertex.
R'(2,6) becomes E(2,4)
S'(8,6) becomes F(8,4)
T'(6,2) becomes G(6,0)
U'(4,2) becomes H(4,0)
So, the image of trapezoid RSTU after a dilation with a scale factor of 2, followed by a translation of 2 units down is trapezoid EFGH, with vertices E(2,4), F(8,4), G(6,0), and H(4,0).
Find the area of the shaded region to the nearest tenth.
Answer:
50 in
Step-by-step explanation:
(1)
[tex]area \: of \: the \: whole \: circle \: = \pi {r}^{2} [/tex]
= 22 × 5 ×5
7
= 78.57
(2)
[tex]area \: of \: the \: unshaded \: circle \: = \pi {r}^{2} [/tex]
= 22 × 3 ×3
7
= 28.28
(1) - (2) = Area of shaded circle
= 78.57 - 28.28
= 50.29
Jethro is planting flowers in his garden. He wants the ratio of tulips to roses to be 2 to 1. Jethro wants to plant a total of 33 flowers. How many tulips should he plant?
Answer: 22 tulips
Step-by-step explanation:
2 + 1 = 3
3 goes into 33 11 times, so you multiply each value by 11
2 * 11 = 22 tulips
22 tulips to 11 roses is 2:1 ratio
Which number sentence shows one way to find the sum of 4 and 5?
4 +4+5 = 13
4 + 5 +5 = 14
4 + 4 +4 = 12
4+4+1=9
The number sentence 4 + 4 + 1 = 9 shows one way to find the sum of 4 and 5.
What is sum of numbers?
By adding the digits of a number, we can find the sum of digits. To determine the digit sum, we can disregard the place values of the digits. For instance, 1 + 8 + 5 or 14 is the digit sum of 185.
We have to find Which number sentence shows one way to find the sum of 4 and 5.
Since, the sum of 4 and 5 equal to 9.
4 + 4 + 1 = 4 + 5
Given:
No. 1 - 4
No. 2 - 5
way 1. 4 + 5 = 9
2. 4 + 4 + 1 = 9
3. 4 + 3 + 1 + 1 = 9
4. 4 + 2 + 1 + 1 + 1 = 9
5. 4 + 1 + 1 + 1 + 1 + 1 = 9
Hence, the last option 4 + 4 + 1 is correct.
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Math 5th grade
The rule for an input/output table is output = x + 2
The output for x = 0, is 2.
The output for x = 0, is 2.
The output for x = 0, is 2.
The output for x = 0, is 2.
What is input output table ?An input-output table is a table that shows the relationship between sets of numbers that always follow the same rule. Input-output tables can be very complex (with several math operations) or simple (with just one math operation).
Given the equation
output = x+2
If input x = 0
output = 0+2 = 2
If input x = 1
output = 1+2 = 3
If input x = 2
output = 2+2 = 4
if input x = 3
output = 3+2 = 5
Hence for the every value x in the table the output will be 2, 3, 4, 5 respectively.
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Which of the following shows the simplified form of sin x/1-cos x ?
a. 1
b. sin x + tan x
c. sin x + cot x
d. csc x + cot x
Answer:
d. [tex]\csc x +\cot x[/tex]
Step-by-step explanation:
[tex]\frac{\sin x}{1-\cos x}=\frac{\sin x(1+\cos x)}{1-\cos^2 x}=\frac{\sin x(1+\cos x)}{\sin^2 x}=\frac{1+\cos x}{\sin x}=\csc x+\cot x[/tex]
Suppose f(x)=x^2+1. Find the graph of f(4x)
Graph of function f(4x) is a parabolic shape having the x value = {1, 2, 3, 0, -1, -2, -3} and y value = {17, 65, 145, 1, 17, 65, 145}
What is function?
In mathematics, a function is an expression that describe a relationship between an independent variable and dependent variable in a symbolic form.
What is the graph of the above function?
we are given, f(x) = x² + 1
let y = f(x)
if we put 4x instead of x we get function of f(4x) = (4x) ²+1
y = f(4x) = 16 x² +1
for different input value of x, we get different output value of y
such as x=1, 2, 3, -1, -2, -3 ,0
we get f(4x) = y = 17, 65, 145, 17, 65, 145, 1
if we put the x and y values on the XY coordinate system we will get a parabolic curve.
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Stephanie is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is 7}, and let B = {the second number cube shows an even number}. Are events A and B independent?
They are independent since the sum of the number cubes is 7 B = the second number cube shows an even number.
How to illustrate the information?From the information, Stephanie is playing a board game and rolls two number cubes. Let A = {the sum of the number cubes is 7}, and let B = {the second number cube shows an even number}.
If the occurrence of one event does not change the likelihood that the other event will also occur, two events A and B are said to be independent. The two events are said to be dependent if the occurrence of one event affects the likelihood that the other event will also occur.
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Frank had 42 rocks that he wanted to share with his 4 friends. If he gave each friend
the same number of rocks (and kept the same number of rocks for himself), how
many rocks did each person get? Use labeled sketches, numbers, or words to solve
this problem. Show all your work.
The number of rocks that each friend will get will be 10 rocks.
How to illustrate the expression?An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information. In this case, it is vital to note that they have at least two terms which have to be related by through an operator.
In this case, Frank had 42 rocks that he wanted to share with his 4 friends. If he gave each friend the same number of rocks, the rocks that each friend will get will be:
= 42 / 4
= 10.5
Each person gets 10 rocks
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can someone help me solve these please? thank you.
Answer:
DA = 24 GS = 39 9 inchesStep-by-step explanation:
Given various quadrilaterals with side lengths marked, you want specific side lengths.
1. DAOpposite sides of the parallelogram are the same length, so ...
5x -18 = 2x +12
3x = 30 . . . . . . . . . add 18-2x
x = 10
DA = 3x -6 = 3·10 -6 = 24
2. GSAll of the sides of a rhombus are the same length, so ...
3p -6 = 2p +9
p = 15 . . . . . . . . . . . add 6-2p
GS = 2p+9 = 2·15 +9 = 39
3. Shortest sideThe perimeter is the sum of the side lengths.
46 = (x +8) +(2x +1) +(3x -6) +(4x -7)
46 = 10x -4
50 = 10x
5 = x
Then the side lengths are ...
x+8 = 132x+1 = 113x-6 = 94x-7 = 13The length of the shortest side is 9 inches.
__
Additional comment
The attachment shows a graphical solution to the third problem. The lines y1–y4 are the side lengths as a function of x. The black line finds the value of x that makes the perimeter be 46. That value is 5. The vertical line at x = 5 intersects the other lines at their side length values. The bottom of these is the shortest side length: 9 inches when x=5.
Can you say this number: 15,130,000,000? (Write it out in words.)
List as many possible ways that you can think of to write this number. (Ex. 15,130 x 1,000,000) What is the shortest way you can think of for writing this number?
Answer:
Word form:
Fifteen billion and one hundred thirty million.
The shortest way of writing this would be:
1,513 + 10 to the seventh power.
Step-by-step explanation:
Hope it helps!
Place parentheses and brackets in the expression below so that it equals 18
2³ x 4/2 +2
The value of the equation A = ( 2³ x 4 ) / 2 + 2 = 18
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A = 18
Substituting the values in the equation , we get
A = ( 2³ x 4 ) / 2 + 2 be equation (1)
On simplifying the equation , we get
2³ = 8
A = ( 8 x 4 ) / 2 + 2
A = 32/2 + 2
A = 16 + 2
The value of A = 18
Therefore , the value of A = 18
Hence , the equation is A = ( 2³ x 4 ) / 2 + 2
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The data set below shows a city's high temperature for 11 days in degrees Fahrenheit. 56,60,60,60,62,64,64,66,66,90,95. Which is the most reasonable measure of central tendency for the data set?
The measure of central tendency of the data set that has a mode of 60, and median of 64 is the mean, 67.[tex]\overline{54}[/tex]
What is a measure of central tendency?A measure of central tendency is a descriptive statistics that describes the location of the center of a set of data.
Measure of central tendencies includes the mean, the mode, and the median.
The mean is the average value of the data set
The mode is the value of the most frequent data of the data set
The median is the value at the middle of the dataset, when the data is arranged in order of their increasing values.
The values in the data set are;
56, 60, 60, 60, 62, 64, 64, 66, 66, 90, 95
The mean of the data = (56 + 60 + 60 + 60 + 62 + 64 + 64 + 66 + 66 + 90 + 95) ÷ 11 ≈ 67.[tex]\overline{54}[/tex]
The mode of the data = 60
The median of the data = 64
The value of the measure of central tendency that most accurately describes the set of data is 67.[tex]\overline{54}[/tex], which is the mean.
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GIVING BRAINLY
During our trip, we keep a constant rate of 55 miles per hour traveled. How many hours will it take us to travel 500 miles?
Use coordinates to solve the real-world problems
involving ratio and rates
If u answer the question u get 5 stars and brainly
I Need it before 2:00 pm and 2:30 pm
Answer: 3hr 16min
I hope this answers your Question
Question 2 (Multiple Choice Worth 1 points)
(06.02 MC)
Three friends, Nakobe, Mikah, and Ashton, are saving up money to buy microphones for their podcast. The total cost of the microphones is represented by the expression 9 x^2-3 x+4
The friends have already saved the following amounts:
Nakobe x^2
Mikah x-12
Ashton: 3x+4
Which expression represents the amount of money the friends still need to buy the microphones?
8x^2-7 x-4
8x^2-7 x+12
4x^2+5 x+4
x^2+4 x-8
An expression which represents the amount of money the friends still need to buy the microphones include the following: B. 8x² - 7x + 12.
What is a quadratic function?In Mathematics, a quadratic function can be defined as a mathematical expression which defines and represent the relationship that exists between two or more variable on a graph, with a maximum exponent of two (2).
Generally speaking, the standard form of a quadratic function is given by;
ax² + bx + c = 0
Next, we would determine the total amount of money that has been saved by these three friends, Nakobe, Mikah, and Ashton as follows;
Total amount of money saved = x² + x - 12 + 3x + 4
Total amount of money saved = x² + 4x - 8
Now, we can determine the total amount of money that is still needed for the purchase of the microphones:
Total amount of money remaining = 9x² - 3x + 4 - (x² + 4x - 8)
Total amount of money remaining = 9x² - 3x + 4 - x² - 4x + 8
Total amount of money remaining = 8x² - 7x + 12.
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Answer:
B: 8x² − 7x + 12
Anne donates blood at a rate of 200 mL in 3 minutes. How long will it take Anne to donate 500 mL of blood?
Answer: 7.5 minutes
Step-by-step explanation:
Please help I need help
Answer:
2000/17 = 117 11/17 miles
Step-by-step explanation:
You want to know the number of miles of a 250-mile trip that are not downhill if 9/17 of the trip is downhill.
FractionThe fraction that is not downhill is the difference between the fraction representing the whole trip, and the fraction that is downhill:
[tex]\dfrac{17}{17}-\dfrac{9}{17}=\dfrac{17-9}{17}=\dfrac{8}{17}[/tex]
MilesThat fraction of the total trip miles is ...
(8/17) · (250 mi) = (8·250)/17 mi = 2000/17 mi = 117 11/17 mi
The number of miles not downhill was 2000/17 or 117 11/17 miles.
I need yall help with this
Part A: The weekly gross pay with overtime above 40 hours is as follows:
1. $336.602. $574.403. $605.6254. $757.10.Part B: The gross pay per pay period is as follows:
5. $515.486. $4,083.337. $2,049.158. $1,352.08.What is the gross pay?Gross pay refers to the total earnings before taxable deductions and taxes are removed.
The gross pay per week entails a total paycheck of 52 since there are approximately 52 weeks in a year.
There are 12 months in a year and 26 biweekly payments annually.
Semimonthly payments are made on two set dates in a month, which translates to 24 payments annually.
PART A: Weekly Gross Pay:
1) Hourly rate = $9.90
Total hours worked = 34
Gross pay = $336.60 ($9.90 x 34)
2) Hourly rate = $14.36
Total hours worked = 40
Gross pay = $574.40 ($14.36 x 40)
3) Hourly rate = $12.75
Total hours worked = 45
= ($12.75 x 40 + 5 x $12.75 x 1.5)
= ($510 + $95.625)
Gross pay = $605.625
4) Hourly rate = $13.40
Total hours worked = 51
= ($13.40 x 40 + 11 x $13.40 x 1.5)
= ($536 + 221.10)
Gross pay = $757.10
PART B: Gross Pay Per Pay Period:
5. Annual Salary = $26,805
Pay period = weekly
Number of paychecks = 52
Gross pay per week = $515.48 ($26,805/52)
6. Annual Salary = $49,000
Pay period = monthly
Number of paychecks = 12
Gross pay per month = $4,083.33 ($49,000/12)
7. Annual Salary = $53,278
Pay period = biweekly
Number of paychecks = 26 (52/2)
Gross pay per paycheck = $2,049.15 ($53,278/26)
8. Annual Salary = $32,450
Pay period = semimonthly
Number of paychecks = 24 (1st and 15th)
Gross pay per paycheck = $1,352.08 ($32,450/24)
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What are the dimensions of a rectangle if the area is 103ft²
The dimensions of the rectangle are 25 by 4.12 feet
How to determine the dimensions of the rectangleFrom the question, we have the following parameters that can be used in our computation:
Rectangle area = 103 square feet
The area of a rectangle is calculated as
Area = Length * Width
Assume the length is 25
So, we have
Area = 25 * Width
Substitute the known values in the above equation, so, we have the following representation
25 * Width = 103
Divide both sides by 25
Width = 4.12
Hence, the dimensions are 25 by 4.12 feet
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Richard buy a pizza that cost $5.20 plus 5% tax what is the total cost
Answer:
$5.46
Step-by-step explanation:
To calculate tax, you multiply 5.20 by 1.05
You multiply by 1.05 because this represents an increase in price
This equals 5.46 dollars
5 feet to 36 inches what is the ratio
The ratio would be 5:3
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio denotes how two distinct entities or groups are related.
5 feet to 36 inches
converting feet to inches
1 foot = 12 inches
Therefore, 5 feet = 5x12
5 feet = 60 inches
60 inches : 36 inches
Finding the lowest possible terms
5 inches : 3 inches
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Select the correct answer.
You are a delivery driver for an online retail company. The table shows your statistics for total, successful, and missed shipments.
Day Total Shipments Successful Shipments Missed Shipments
1 58 51 7
2 79 72 7
3 82 80 2
4 64 58 8
Which day in the table has incorrect information?
A.
A math error was made when computing the total shipments for day 4.
B.
The missed shipment value for day 4 was accidentally copied from day 1.
C.
The missed shipment value for day 1 was accidentally copied from day 4.
D.
A math error was made when computing the total shipments for day 1.
Answer:
A.
A math error was made when computing the total shipments for day 4.
Which of the following are independent events?
A. Teacher prefers tea; Teacher teaches English
B. Teacher prefers coffee; Teacher teaches math
C. Teacher prefers soda; Teacher teaches science
D. Teacher prefers coffee; Teacher teaches social studies
Drink preferences for teachers in a high school are given in the table
below.
The only option that represents independent events is;
D. Teacher prefers coffee; Teacher teaches social studies
How to identify Independent events?Independent events are defined as those events whose occurrence are not dependent on any other event. For example, when we flip a coin in the air and get the outcome as Head, then again if we flip the coin but this time we get the outcome as Tail.
Now, we see the table showing drink preferences for teachers in a high school.
Now, from the table, the row that has the highest total will be an independent event while the column that has the highest total will be an independent event.
Thus, we see that the column that has the highest total is coffee while the rows that have the highest total are english and social studies.
The only option with both combination is option D which is correct.
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