Answer:
She will sell aproximately 13 dresses sold in 1 hour.
Step-by-step explanation:
Answer:
16/21
Step-by-step explanation:
a cable on a crane measures 89 yards feet how much total would be on 14 idenicial cranes convert you answer into larger units
Answer:
If you mean it's 89 feet, the answer is 415.3333 yards.
If you mean it's 89 yards, the answer is 1246 yards.
Step-by-step explanation:
Multiply 14 and 89 to get the distance of 14 identical cranes.
Since your question had two types of distance,
Feet: Divide by 3 since the conversion of feet to yards is 1/3.
Yards: Don't convert to a mile, as a mile is alot larger, and you will have a small answer.
Hope this helps.
The total length of cable on 14 identical cranes, each with a cable 89 yards long, would be approximately 0.71 miles.
Explanation:The question you're asking involves measurement conversion and multiplication. If each cable is 89 yards long, and one yard is equivalent to 3 feet, then we first need to convert the length of each cable into feet. Therefore, 89 yards equal to 89*3 = 267 feet. Thereafter, to determine the total length of cable that 14 identical cranes would have, we simply multiply 267 feet by 14, which gives us 3,738 feet.
Bigger unit for feet is in miles, and we know 1 mile is equal to 5,280 feet, so to convert the total feet to miles, you divide the total length in feet by the number of feet in a mile. Hence 3,738 divided by 5,280 equals approximately 0.71 miles.
Learn more about Measurement Conversion here:https://brainly.com/question/31419854
#SPJ3
what is 265 times 14.? Explain what you did.
Answer:
3710
Step-by-step explanation:
265 * 14
multiply 4 by 5, then 4 by 6, then 4 by 2 which would look like this 860
then you multiply 1 by 5, then 1 by 6, then 1 by 2 which should loo like 2650
it looks like that because for every digit you multiply by except the first you add a zero in front of it. then you add those two up which adds up to 3710 you're welcome. :}
Answer:
3,710
Step-by-step explanation:
First, write it in a multiplication form. (staking on top of each other)
First Step: Multiply the 5 and the 4 in the one's column. 20. So regroup the 2 and place the zero under the 4. Then you multiply the 5 and the one. 5. Also ad what you regrouped it to be. 7. Place that number under the 1 in 14.
Second Step: Add a zero in the ones place. Then multiply the 5 and the 1. 5. Then you multiply the 6 and the 1. 6. Then lastly multiply the 2 and the one.
Third Step: Now add the two numbers to multiplied together to get your final answer.
Have a Nice Winter Break!
:-)
You don't have to mark me as brainliest though.
Pls mark the other person as brainliest!
Please help me solve this.
Answer:
The value of x is -0.5.
Step-by-step explanation:
The given equation is
[tex]-2(5x-6)+6x=4(x+4)[/tex]
Use distributive property to solve the above equation.
[tex]-2(5x)-2(-6)+6x=4(x)+4(4)[/tex]
[tex]-10x+12+6x=4x+16[/tex]
[tex]-4x+12=4x+16[/tex]
Add 4x both sides.
[tex]12=8x+16[/tex]
Subtract 16 from both sides.
[tex]-4=8x[/tex]
Divide both sides by 8.
[tex]\frac{-4}{8}=\frac{8x}{8}[/tex]
[tex]-0.5=x[/tex]
Therefore value of x is -0.5.
Can someone show me step by step?
Answer:
AB = JK = 49
Step-by-step explanation:
Since ABC = JKL
We know the length of AB has to equal the length of JK.
AB = JK
14x+7 = 5x+34
Subtract 5x from each side.
14x-5x +7 = 5x-5x+34
9x+7 = 34
Subtract 7 from each side
9x+7-7 = 34 -7
9x = 27
Divide each side by 9.
9x/9 = 27/9
x =3
AB = 14x+7
Substitute x=3
14(3) +7
42+7
AB = 49
Pls ANSWER NOW HELP
Which table shows a proportional relationship between x and y?
x 1 3 4 7
y 2 5 8 14
x 2.5 3 5 6
y 5 6 10 15
x 1 2 3 4
y 4 10 12 16
x 7 14 28 35
y 1 2 4 5
The proportional relationship between x and y is;
x 7 14 28 35
y 1 2 4 5
The correct option is D.
Proportional relationships;Proportional relationships between x and y satisfy the following equation;
[tex]\rm y=kx[/tex]
Where k is some constant.
Rearranging the equation;
[tex]\rm y=kx\\\\k=\dfrac{y}{x}[/tex]
Then,
The proportional relationship between x and y is;
[tex]\rm k = \dfrac{y}{x}\\\\\rm When \ x= 7 \ and \ y= 1\\\\K=\dfrac{1}{7}\\\\\rm When \ x= 14 \ and \ y= 2\\\\K=\dfrac{2}{14}=\dfrac{1}{7}\\\\\rm When \ x= 28 \ and \ y= 4\\\\K=\dfrac{4}{28}=\dfrac{1}{7}\\\\\rm When \ x= 35 \ and \ y= 5\\\\K=\dfrac{5}{35}=\dfrac{1}{7}[/tex]
Hence, the proportional relationship between x and y is the correct option is D.
To know more about proportional relationships click the link given below.
https://brainly.com/question/14237929
solve for x in simplest form 15 = 1/3(x+9)
Heya!
Your question states: Solve for x in simplest form 15 = 1/3(x+9)
Answer: X = 36
Numerical Explanation:
1. Step by step
I. 15 = 1/3(x+9)
2. Simplify both sides of the equation:
II. 15 = 1/3x + 3
3. Flip the equation:
III. 1/3x + 3 = 15
4. Subtract 3 from both sides:
IV. 1/3 x +3 = 15
-3 -3
5. Multiply both sides by 3:
V. 3 * (1/3 x) = (3) * (12)
6. Final answer:
VI. x = 36
I Hoped I Helped!
~KINGJUPITER
Answer:
x = 36
Step-by-step explanation:
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS:
Remember to follow PEMDAS and the left -> right rule.
PEMDAS:
Parenthesis
Exponent (& roots)
Multiplication
Division
Addition
Subtraction
----------------
15 = 1/3(x + 9)
First, multiply 3 to both sides of the equation
(15)(3) = (1/3(x + 9))(3)
(15)(3) = x + 9
45 = x + 9
Next, to isolate the x, subtract 9 from both sides
45 (-9) = x + 9 (-9)
45 - 9 = x
36 = x
-----------
36 is your answer for x.
~
V= 2i +9j Find ||9v||
Answer:
9[tex]\sqrt{85}[/tex]
Step-by-step explanation:
9v = 9(2i + 9j) = 18i + 81j
|9v | = [tex]\sqrt{18^2+81^2}[/tex] = [tex]\sqrt{x6885}[/tex] = 9[tex]\sqrt{85}[/tex]
What is a real world problem for 2(n+20)=110
To solve the algebraic equation '2(n+20)=110', we first divide by 2, yielding 'n+20=55', and then subtract 20 to find 'n=35'. A real-world example could be calculating an initial inventory of items before doubling and adding 20 to reach a target inventory.
Explanation:The student's question, 'What is a real world problem for 2(n+20)=110?' can be seen as a basic algebra question. To solve for n, we start by dividing both sides of the equation by 2, giving us n+20 = 55. Then we subtract 20 from both sides, which leaves us with n = 35.
A real-world interpretation of this equation could be a scenario where someone has twice the number of objects plus an additional 20 objects, and they want to end up with 110 objects in total. To find out the original number of objects, they would perform the calculations above. In this case, the real-world problem could involve an initial inventory of 35 items that needs to be doubled and then 20 more added to achieve a target inventory of 110 items.
100m In 9 3/5 seconds
Answer:
Speed = 10.42 m/secs
Step-by-step explanation:
We have been given with:-
Distance = 100m
Time taken = 9[tex]\frac{3}{5}[/tex] secs
1) First, we need to convert the mixed number 9[tex]\frac{3}{5}[/tex] to an improper fraction.
Method to convert a mixed number to an improper fraction
[tex]a\frac{b}{c} = \frac{c*a+b}{c}[/tex]
Applying the above formula, we get
9[tex]\frac{3}{5}[/tex] = [tex]\frac{5*9+3}{5}[/tex]
= [tex]\frac{45+3}{5}[/tex]
= [tex]\frac{48}{5}[/tex]
2) Now we need to convert [tex]\frac{48}{5}[/tex] into a decimal by dividing 48 by 5.
We get time taken as 9.6 secs
3) We need to find the speed using the below formula:-
Speed = [tex]\frac{Distance}{Time taken}[/tex]
Plugging the values of Distance and Time taken into the formula, we get
Speed = [tex]\frac{100}{9.6}[/tex]
= 10.416 m/secs
4) Upon rounding it to the nearest hundredth, we get
Speed = 10.42 m/secs
What is the correlation coefficient with the following data points: (15,36), (13,22), (12,6), (11,20)?
A.0.75
B.-0.75
C.0.65
D.-0.65
Answer:
A. 0.75
Step-by-step explanation:
The formula for the correlation coefficient r is
[tex]r =\frac {n \sum{xy} - \sum{x}\sum{y}}{\sqrt{[n \sum{x^{2}}- (\sum{x})^{2}}][n \sum{y^{2}}- (\sum{y})^{2}]}[/tex]
It's easier to use a statistical calculator, but this question probably expects you to do it by hand.
Let’s write a table for easy calculation.
x y xy x² y²
15 36 540 225 1296
13 22 286 169 484
12 6 72 144 36
11 20 220 121 400
51 84 1118 659 2216
(Σx)² = 2601
(Σy)² = 7056
[tex]r =\frac{4\times1118-51\times84}{\sqrt{[4\times659-2601][4\times2216-7056]}}[/tex]
[tex]r =\frac{4472-4284}{\sqrt{[2636-2601][8864-7056]}}[/tex]
[tex]r =\frac{188}{\sqrt{35\times1808}}[/tex]
[tex]r =\frac{188}{\sqrt{63280}}[/tex]
[tex]r =\frac{188}{251.6}[/tex]
r = 0.747
The graph below shows that there is a poor correlation among the points.
Is my unweighted 3.4 GPA good for honor roll? These are my grades:
Math: A
Finance: A
English: B
Biology: A
AP Human Geography: B
Nutrition and Wellness: A
Spanish 2: C
Answer:
You must have all A's for Honor roll.
Step-by-step explanation:
My sister is in it and she has all A's
A 3.4 unweighted GPA is generally considered good and may qualify for the honor roll, depending on your school's criteria.
Based on your grades, you have a 3.4 unweighted GPA.
To determine if this qualifies you for the honor roll, it would be best to check your school's specific requirements, as they can vary.
Typically, a 3.4 GPA is considered solid and may be sufficient for honor roll status in many high schools.
Here is a breakdown of your grades:
Math: AFinance: AEnglish: BBiology: AAP Human Geography: BNutrition and Wellness: ASpanish 2: CWhile you have mostly As and Bs, the C in Spanish 2 may affect your honor roll eligibility depending on your school's criteria.
For every 1 girl in Mr Hegarty's class there are 4 boys. What is the ratio of boys to girls in the class? Give your answer in its simplest form.
Answer:
4:!
Step-by-step explanation:
4:1 because their are 4 boys for every 1 girl
Rashida was paid $720 for 30 hours of work. How much would she be paid for 40 hours of work?
$960
720÷30=24
24×40=960
At the beach, Malia measured the footprints of the people who passed by. The line plot displays the length of each footprint. What fraction of the footprints measure more than a foot?
A. 11/16
B. 5/8
C. 1/2
D. 9/16
Answer: Choice B) 5/8
================================================
Explanation:
There are 10 dots that represent a measurement larger than 1/2 a foot (either the dot is over 5/8 or 3/4 or 7/8). Call this value A, so A = 10.
There are 16 dots total. Call this B, so B = 16.
Divide A over B and then reduce: A/B = 10/16 = 5/8 so that is why the answer is choice B
Coincidentally, we end up with 5/8 but that is not the same as the "5/8" as shown on the chart. It just means that if we had 8 people, the 5 of them would have a foot size larger than half a foot.
Answer:
Step-by-step explanation:
A car salesman has
5 used cars for sale. They have a mean price of $7000
. What is the total price of all 5
cars?
Step-by-step explanation:
We are given total number of cars = 5 cars.
The mean of all of five cars = $7000.
Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.
Total price = Mean × Total number of cars.
According to problem, mean is 7000 and total number of cars is 5.
Therefore, Total price of all 5 cars = 7000 × 5 = $35000.The total price of all 5 cars is $35000, calculated by multiplying the mean price ($7000) by the number of cars (5).
Explanation:The subject of this question is Mathematics, specifically mean and total values. The mean price of the cars is given as $7000. The mean is calculated by dividing the total price by the number of items, in this case, cars. To find the total price, we therefore multiply the mean price by the number of cars. So, $7000 (mean price of each car) times 5 (total cars) equals $35000. Therefore, the total price of all 5 cars is $35000.
Learn more about Mean and total price here:https://brainly.com/question/32926071
#SPJ3
What is the axis of symmetry and vertex given the equation,
y=2x^2-12x+21
y = 2x² - 12x + 21 = 2(x² + 6x) + 21.
Using the complet the square method, you get:
2(x² + 6x) + 21 = 2(x² + 6x + 9) - 2*9 + 21 = 2(x + 3)² + 3.
So the axis of symmetry is: x = -3.
The vertex is: (-3, 3)
Answer: 2(x + 3)² + 3
Explanation: Axis of symmetry: x = -3 Vertex: (-3, 3)
Write an equation of the line that passes through point (5,6) and has a slope of 2.
The equation of the line through (5,6) has a slope of 2 will be y=2x-4.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that, the line passes through (-10,-7)and (-5,-9).
We have to find the equation of the line through given points,
The slope of the line is,
m= 2
The equation of the line is obtained as,
y-y₁=m(x-x₁)
y-(6)=-2(x-(5)
y-6=2x-10
y=2x-10+6
y=2x-4
Thus, the equation of the line through (5,6) has a slope of 2 will be y=2x-4.
Learn more about the straight line here:
brainly.com/question/3493733
#SPJ3
Final answer:
To find the equation of the line with a slope of 2 passing through the point (5,6), we use the point-slope formula and obtain y = 2x - 4.
Explanation:
To write an equation of a line that passes through a given point, such as (5,6), with a given slope of 2, we can use the point-slope form of a linear equation, which is: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Substituting the given point and slope into this formula, we have:
y - 6 = 2(x - 5)
Expanding this equation and solving for y, we get:
y - 6 = 2x - 10
Add 6 to both sides to find the y-intercept:
y = 2x - 4
This equation represents the line with a slope of 2 that passes through the point (5,6).
kim took a trip to china. upon leaving she decided to convert all of her yuan back into dollars. How many dollars did she receive if she exchanged 16 yuan at a rate of 8 yuan for $1
You are a mechanic. You have been given an engine repair job that has a job time of 0.7 hour. About how many minutes should you allow for the job?
Answer:
42 minutes
Step-by-step explanation:
There are 60 minutes in an hour and we want to find 0.7 of that. Of means multiply so we multiply 60 by 0.7 and we get 42 minutes.
Final answer:
To convert the job time of 0.7 hours to minutes for the engine repair job, multiply it by 60, resulting in an approximate job time of 42 minutes.
Explanation:
You have been given an engine repair job that has a job time of 0.7 hour. To find out how many minutes you should allow for the job, convert hours to minutes. Since there are 60 minutes in one hour, you would perform the following calculation:
Multiply 0.7 (hours) by 60 (minutes per hour).
0.7 hour * 60 minutes/hour = 42 minutes
You should therefore allow for approximately 42 minutes to complete the engine repair job.
I will be happy for you to help me with this question
Answer:
Your y-intercept is 1 and your slope is 2
Step-by-step explanation:
How to find Slope
To find your slope you have to do the change of y over the change of x. So if you go to your table find how much each value of numbers is changing by. Your y-values are changing differently, but it is fine so to get to 5 from 3 you add 2 and to get to 9 from 5 you add 4. You do the same thing for the x-values are changing differently, but it is fine, so to get to -1 from -2 you add 1 and to get to 1 from -1 you add 2. Next you will take the two values that you get on the y side which are 2 and 4 and the x side which are 1 and 2 and put them in change of y over change of x. So 4/2 with equal 2 and 2/1 equal 2. So the slope is changing by 2.
State the amplitude and period of f(x)= 3cos 9/5 (t)
Answer:
The period is [tex]\dfrac{10\pi}{9}[/tex] and the amplitude is 3.
Step-by-step explanation:
The period goes from one peak to the next (or from any point to the next matching point). The amplitude is the height from the center line to the peak.
The period of the function [tex]y=a\cos (bx)[/tex] is [tex]T=\dfrac{2\pi }{b}[/tex] and the amplitude is [tex]|a|.[/tex]
Consider the function [tex]f(t)=3\cos \left(\dfrac{9}{5}t\right).[/tex]
The period for the function [tex]f(t)[/tex] is
[tex]T=\dfrac{2\pi}{\frac{9}{5}}=\dfrac{2\pi}{1}\cdot \dfrac{5}{9}=\dfrac{10\pi}{9}[/tex]
and the amplitude is 3.
The amplitude of the function f(x) = 3cos(9/5 t) is 3, and the period is approximately 3.4907 units of time.
Explanation:The amplitude of the function f(x) = 3cos(9/5 t) is 3. This is because the amplitude A of a cosinusoidal function of the form x(t) = Acos(wt + φ) is the coefficient in front of the cosine, which describes the peak-to-peak swing of the wave.
The period T of the function can be found using the relationship between angular frequency w and the period T, which is T = 2π/w. Here, the angular frequency w is 9/5. Thus, the period T is 2π × (5/9), which simplifies to approximately 3.4907 units of time.
In One hour a bakery sold five muffins and nine bagels for a total of $25.50 the next hour the bakery sold three muffins and 12 bagels for a total of $28.50 let M represent the price of one muffin and B represent the cost of one bagel Draco wrote the following system of linear equations to solve for the cost of each item.
5m+9b=28.50
3m+12b=25.50
What is Draco’s error?
A.) Draco should have set the first equation equal to 25.50 and the second equation equal to 28.50.
B.) Draco should have written the first equation as 3m+9b= 25.50.
C.) Draco should have written 9b in the second equation and 12b in the first equation.
D.) Draco should have written the second equation as 5m+12b=28.50.
Answer:
Option A is the correct choice.
Step-by-step explanation:
We have been given the system of linear equations written by Draco. We are asked to find Draco's error.
Let us form a system of equations using our given information.
Let m represent the price of one muffin and b represent the cost of one bagel.
We are told that in one hour a bakery sold five muffins and nine bagels for a total of $25.50. We can represent this information in an equation as:
[tex]5m+9b=25.50...(1)[/tex]
The next hour the bakery sold three muffins and 12 bagels for a total of $28.50. We can represent this information in an equation as:
[tex]3m+12b=28.50...(2)[/tex]
Now let us see system of equations written by Draco.
[tex]5m+9b=28.50[/tex]
[tex]3m+12b=25.50[/tex]
We can see that Draco has set the price of 5 muffins and 9 bagels equal to $28.50, which is the price of 3 muffins and 12 bagels.
Therefore, Draco should have set the first equation equal to 25.50 and the second equation equal to 28.50. The correct choice is option A.
What property is d • e • 0 = 0
Answer:
Zero Product Property
Step-by-step explanation:
The zero product property states that anything multiplied by 0 is 0.
Find the number of units that produce a maximum revenue, R =95x-0.1x^2, where R is the total revenue in dollars and x is the number of units sold
Answer:
[tex]x=475[/tex] units
Step-by-step explanation:
Method 1
The given revenue function is [tex]R(x)=95x-0.1x^2[/tex].
We rewrite this function in the vertex form by completing the square.
[tex]\Rightarrow R(x)=-0.1x^2+95x[/tex].
[tex]\Rightarrow R(x)=-0.1(x^2-950x)+0[/tex].
We add and subtract half the coefficient of [tex]x[/tex] multiplied by a factor of [tex]-0.1[/tex], which is [tex]-0.1(-\frac{950}{2})^2=-0.1( -475)^2[/tex] to get,
[tex]R(x)=-0.1(x^2-950x)+-0.1(-475)^2--0.1(-475)^2 +0[/tex].
We factor [tex]-0.1[/tex] out of the first two expressions again to get,
[tex]R(x)=-0.1(x^2-950x+(-475)^2)--0.1(-475)^2 +0[/tex].
We now got a perfect square.
[tex]\Rightarrow R(x)=-0.1(x-475)^2+22562.5[/tex].
Therefore the maximum revenue occurs when [tex]x=475[/tex] units were sold.
Method 2
Use derivatives to find the x-value of the maximum point.
[tex]R(x)=-0.1x^2+95x[/tex]
[tex]R'(x)=-0.2x+95[/tex]
At maximum point,
[tex]R'(x)=0[/tex]
[tex]\Rightarrow -0.2x+95=0[/tex].
[tex]\Rightarrow -0.2x=-95[/tex].
[tex]\Rightarrow x=\frac{-95}{-0.2}[/tex].
[tex]\Rightarrow x=475[/tex].
The maximum revenue is achieved when 475 units are sold in the given function R = 95x - 0.1x^2, which was determined by taking the first and second derivatives of the revenue function.
Explanation:In order to find the number of units that produce maximum revenue in the equation R = 95x - 0.1x^2, you have to differentiate the revenue function R with respect to x and set the derivative (first derivative) equal to 0 to find the critical points.
The derivative of the function R with respect to x is R' = 95 - 0.2x. Setting this equal to zero gives: 95 - 0.2x = 0. Solving for x provides x = 95/0.2 = 475. Hence, 475 units sold will maximize revenue according to the provided revenue function.
To confirm this is a maximum, you can use the second derivative test. The second derivative of R, R'' = -0.2. Since this value is negative, x = 475 indeed corresponds to a maximum point on the graph of R(x). Hence, maximum revenue is achieved when 475 units are sold.
Learn more about Maximizing Revenue here:https://brainly.com/question/33395222
#SPJ3
Which linear inequality represents the solution set graphed?
A) 2y + 3x < 10
B) 2y + 3x > 10
C) 2y − 3x < 10
D) 2y − 3x > 10
Answer:
Its A.
Step-by-step explanation:
Because, I have the same question for my test online and the greater than sign with out the under marking is correct.
Approximately how many liters are in 18 quarts
Answer:18 us liquid quarts =
17.034 liters
Step-by-step explanation:
1 us liquid quart =
0.946 liter
Multiply 0.946 *18 =17.034
Mark me brainliest
Avery had $25.88 in her wallet. If she bought lunch with dollars from her wallet, how much money did she have in her wallet after lunch?
A. $14.38
B. $15.88
C. $15.38
D. $15.68
Answer:
B
Step-by-step explanation:
Carol has a small Copley of a painting. The dimensions of her copy are shown at the right. The scale of the copy is 0.5 inches: 12 centimeter.
Question A) Find the dimensions of the original painting.
Question B) Find the area of the original painting.
Question C) One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet. Round to the nearest thousandth.
Answer:
Question A: The dimensions of the original painting are 42 cm by 126 cm.
Question B: The area of the original painting is [tex]5292cm^2[/tex]
Question C: The dimensions of the painting in feet are 1.386 ft by 4.158 ft.
Step-by-step explanation:
Question A:
The scale of the copy is
0.5 inches:12 centimeter.
This means that 1 inch on the scale is 24 centimeters.
Therefore the width of the original painting is:
[tex]1.75*24cm=42cm[/tex]
and the height of is:
[tex]5.25*24cm=126cm[/tex]
Therefore the dimension of the original painting are 42 cm by 126 cm.
Question B;
The area of the original painting is just width multiplied by height:
[tex]Area=42cm*126cm=5292cm^2[/tex]
Question C:
We convert the dimensions of the painting from centimeters to feet:
[tex]width=42cm*0.033\frac{feet}{cm} =1.386\:feet.[/tex]
[tex]height=126cm*0.033\frac{feet}{cm} =4.158\:feet.[/tex]
Therefore the dimensions of the original painting in feet are 1.386 ft by 4.158 ft.
Answer:
(A) 42 cm by 126 cm.(B) 5,292 square centimeters.(C) 1.386 feet by 4.158 feetStep-by-step explanation:
The scale of the copy is 0.5 : 12, which means 0.5 inches of the copy represents 12 centimeters actual.
From the given scale we can deduct that 1 inch equals 24 centimeters.
So, the dimensions of the original are
[tex]1.75 \times 24 =42[/tex]
[tex]5.25 \times 24= 126[/tex]
Therefore, the original painting has dimensions 42 cm by 126 cm. (A)
Notice that the original painting is also rectangular, so its area is
[tex]A_{original}=42 \times 126 = 5,292 cm^{2}[/tex] (B)
Now, if 1 centimeter is equivalen to 0.033 foot, the dimensions of the original painting in feet are
[tex]42 \times 0.033 =1.386 ft\\126 \times 0.033=4.158 ft[/tex]
Therefore, the dimensions in feet are 1.386 feet by 4.158. (C)
Let x = 6.
What is the value of the expression 5x^2+x−7 ?
the 2 is a exponent. The ^ Symbol means an exponent 40points!
Put the value of x = 6 to the eqpression 5x² + x - 7:
5(6)² + 6 - 7 = 5(36) + 6 - 7 = 180 + 6 - 7 = 179
Answer: 179A 2X2 square is centered at the origin. It is dilated by a factor of 3. What are coordinates of the vertices of the square?
Answer:
The vertices are:
A' = (-3, -3)
B' = (3, -3)
C' = (3, 3)
D' = (-3, 3)
Step-by-step explanation:
Given:
A 2 x 2 square is centered at the origin.
So, the center of the square is (0, 0)
Since it is 2 x 2 square, the side of the square is 2 units.
So, the vertices of the 2 x 2 square are A (-1, -1), B(1, -1), C(1. 1), D(-1, 1)
The above square is dilated by a factor of 3.
Let's name the dilated square A'B'C'D'
To find the coordinates of the vertices of dilated square, we need to multiply each vertices of ABCD by 3.
A(-1, -1) = 3(-1, -1) = A'(-3, -3)
B(1, -1) = 3(1, -1) = B'(3, -3)
C(1, 1) = 3(1, 1) = C'(3, 3)
D(-1, 1) = 3(-1, 1) = D'(-3, 3)