The blueprint scale is 1 inch : 9 feet if the gym's area is 60 square inches on the blueprint, what is the actual square footage of the gym
Answers
Answer:
4860 ft^2
Step-by-step explanation:
9 feet is represented by 1 inch.
● 9 => 1
Square both sides
● 81 => 1
So a 81 ft^2 square is represented by a 1 in^2 square (picture below)
■■■■■■■■■■■■■■■■■■■■■■■■■■
The gym's area in the blueprint is 60 in^2
That 60 1in^2 squares.
● 1 => 81
● 1×60 => 81×60
We have multiplied both sides by 60
● 60 => 4860
So the original are is 4860 ft^2
The actual square footage of the gym will be 4860 square feet.
What is dilation?Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
The blueprint scale is 1 inch : 9 feet.
Then the scale factor will be (1/9).
If the gym's area is 60 square inches on the blueprint.
Then the actual square footage of the gym will be
⇒ 60 / (scale factor)²
⇒ 60 / (1/9)²
⇒ 60 x 81
⇒ 4860 square feet
More about the dilation link is given below.
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Related Questions
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7. If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of b? Select two options. –2 in. 0 in. 0.5 in. 2 in. 7.9 in.
Answers
The answer is 0.5 and 2 in.
-4(3-1)+2 need hep please
Answers
Answer: [tex]-6[/tex]
Subtract
[tex]-4(3-1+2)=-4(2)+2[/tex]
Multiply
[tex](-4)(2)+2=-8+2[/tex]
Add
[tex]-8+2=-6[/tex]
Answer:
-6
Step-by-step explanation:
Follow the PEMDAS order of operations
Calculate within parentheses: 3 - 1 = 2
Multiply and divide (left to right): - 4 * 2 = -8
Add and subtract (left to right): -8 + 2 = -6
Please help. I don’t understand how to do this
Answers
Greetings from Brasil...
Let's apply the given formula:
A = (1/2)·B·H
The base of this polygon (in this case, the triangle) is B
B = X² - 2X + 6
The height of this polygon is H and is H
H = X + 4
Applying these values (B and H) in the given formula.....
A = (1/2)·B·H
A = (1/2)·(X² - 2X + 6)·(X + 4)
A = (1/2)·(X³ + 2X² - 2X + 24)
A = (X³/2) + X² - X + 12
OR
A = (X³ + 2X² - 2X + 24)/2
Answer:
First find hypotenuses
Step-by-step explanation:
First you must find h by using formula
A^2+b^2=c^2 when you find this you already given base and put the c you find is h and b is given in the formula you will get area
12. A cyclist travels 40 km at a speed of x km/h. Find the time
taken in terms of x. Find the time taken when his speed is
reduced by 2 km/h. If the difference between the times is
1 hour, find the original speed x.
Answers
Answer:
Step-by-step explanation:
distance = rate times time, so
distance
time = --------------
rate
Here the distance is 40 km and the rate is x. Then
40 km
time = -------------- = (40/x) hr
x km/hr
If the speed is reduced by 2 km/hr, we get:
40 km 40 km 40
time = ------------------------------- or time = ----------------------- = --------- hr
(x km/hr - 2 km/hr) (x - 2) (km/hr) x - 2
The difference between the times is:
40 40
-------- - --------- = 1 hr Solve this for the original speed, x
x - 2 x
40x - 40x + 80 80
----------------------- = 1 hr or ------------ = 1 or 80 = x^2 - 2x
x(x - 2) x(x - 2)
Rewriting this in standard quadratic form: x^2 - 2x - 80 = 0
Here a = 1, b = -2 and c = -80, and so the discriminant b^2 - 4ac is:
(-2)^2 - 4(1)(-80) = 324
The solutions are:
-(-2) ± √324 2 ± 18
x = -------------------- = ------------ = 1 ± 9, or 10 (discard the other root)
2 2
The original speed was 10 km/hr
the answer is 10 km/hr.
The members of a film crew are at least 75 miles from their camp and must carry equipment back to camp before a storm arrives. The storm is scheduled to begin in 24 hours. They plan to travel as far as possible by truck and then walk the rest of the way. The truck can travel at a rate of 10 miles per hour through the terrain, and the team can travel 2 miles per hour on foot. Which system represents the number of hours the crew can travel by truck, x, and on foot, y, to reach camp before the storm? x + y < 24 2x + 10y ≥ 75 x + y > 24 2x + 10y ≥ 75 x + y < 24 10x + 2y ≥ 75 x + y > 24 10x + 2y ≥ 75
Answers
Answer: B
Step-by-step explanation:
PLSSSSS HELP MARKING BRAINLIST QUESTION BELOW
Answers
We already know the rate of change for function A, 2, to find the rate of change for function B you have to divide the change in Y by the change in X, which gives you 4.
What is the Value of -5+2/3 A) 17/3 B) -13/3 C) 13/3 D) -17/3
Answers
= -5x 3
=-15+2/3
final answer =-13/3 > B
= -5*3
=13/3 so B is the answer
The cost of a daily rental car is as follows: The initial fee is $59.99 for the car, and it costs $0.30 per mile. If Joan's bill was $200.00 before taxes, how many miles did she drive?
Answers
Answer:
.466.7 miles
Step-by-step explanation:
[tex]total \: cost - rental \: cost = \: the \: total \: cost \: for \: travel \: in \: miles[/tex]
[tex]200 - 59.99 = 140.01 [/tex]
[tex]\ 140.01 \div 0.30 = 466.7 \: miles[/tex]
140.01 divided by 0.30 = 466.7 miles
ANSWER
466.7 miles
jan's gas tank is nearly empty, at 1/12 full. she doesn't have enough cash to fill the tank, she adds enough gas to reach 2/3 full.
How much gas did she add, as a fraction of the tank?
Answers
Answer:
7/12
Step-by-step explanation:
well first you have subtract 2/3 from 1/12 how you do that is that you have to change the denominator into twelve by multiplying 3 times 4 and 2 times for which you get 8/12 them subtract 8/12 from 1/12 which is 7/12
If Jan's tank is 1/12 full and after addition it becomes 2/3 full then she added 7/12 gas as a fraction of tank.
What is fraction?Fraction is a combination of two numbers one in numerator and the other one in denominator. The number which is above the division sign is known as numerator and the number which is below the division sign is known as denominator. It is expressed as v/u where v is numerator and u is denominator.
How to calculate fraction?Initial quantity of gas is 1/12 of the tank.
Quantity of gas after filling is 2/3 of the tank.
So the initial fraction is 1/12 and final fraction is 2/3.
let the fraction of gas added be x.
So,
1/12+x=2/3
x=2/3-1/12
x=(8-1)/12
x=7/12
Hence the gas which is added by Jan is 7/12 fraction of the tank.
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pls helpASAP!!!
3x+ 12 = 2(8+ 4x)
Answers
[tex]3x+12=2(8+4x)[/tex] distribute
[tex]3x+12=16+8x\\[/tex] collect like-terms
[tex]3x-8x=16-12\\-5x=4\\x=-\frac{4}{5}=-0.8[/tex]
x = - 4/5
Step-by-step explanation:3x + 12 = 2(8 + 4x)
3x + 12 = 16 + 8x
12 - 16 = 8x - 3x
- 4 = 5x
x = - 4/5
Why does each 3 have a different value in 3.453?
Answers
Answer: 3 has a different value because its in a different place value. It says 3 but it's value isn't 3. It's 0.003.
Answer:
Because they're in different places the 3 in the ones place couldn't equal as much as the three in the thousands place those places make them have different values
Hope this helps \_(OwO)_/ can i get marked brainliest o.O
Calculate 12% simple interest to be paid on a loan of $2000 repaid in 1 1/2 year?
Answers
Answer:$360
Step-by-step explanation:
I=PRT
I=12/100×2000×1.5
I=24×1.5
I=$360
Hope this helps !
Please anyone help me The measure of an angle is five times the measure of its supplementary angle. What is the measure of each angle?
Answers
Answer:
150 and 30
Step-by-step explanation:
Hello!
Supplementary angles are angles that when added up equal 180
Which can be shown by
x + x = 180
Since one has to be 5 times bigger we put a 5 in front of one of the x's
5x + x = 180
5x is an angle and x is the other
Now we solve for x
5x + x = 180
Combine like terms
6x = 180
Divide by 6
x = 30
Now we put that into each angle
5(30) = 150
30
The answer is 150 and 30
Hope this Helps!
Hello!
Answer:
Each angle; the answer is 30 & 150
Step-by-step explanation:
So let say that the supplement is ‘X’.... You want to find the angle of 5x
Therefore, 6x=180 (X=30)
Since we found out one angle out which is 30.
Now you find 5x.
5x30 and you will get 150.
So the angles of each is “30” and “150”.
Hope this helps!
By, Cherry
Norma has a credit card that uses the adjusted balance method. For the first
10 days of one of her 30-day billing cycles, her balance was $1850. She then
made a purchase for $160, so her balance jumped to $2010, and it remained
that amount for the next 10 days. Norma then made a payment of $930, so
her balance for the last 10 days of the billing cycle was $1080. If her credit
card's APR is 29%, which of these expressions could be used to calculate the
amount Norma was charged in interest for the billing cycle?
Answers
Answer:
50
Step-by-step explanation:
Interest charged: $1080 x 2.416% = $ 26.09
a map that was created using a scale of 1 inch : 3 miles shows a lake with an area of 4.5 square inches. What is the actual area of the lake?
Answers
Answer:
the area represents 40.5 square miles
Step-by-step explanation:
Since 1 inch represents 3 miles, then 1 inch x 1 inch = 1 square inch represents 3 mi x 3 mi = 9 square miles
Therefore, 4.5 square inches would represent 4.5 x 9 square miles = 40.5 square miles
A 2 column table with 5 rows. The first column, yards of red fabric, x, has the entries 1, 2, 3, 4. The second column, yards of blue fabric, y, has the entries 27, 26, 25, 24. Sophie is buying fabric to make items for a craft fair. The table shows some combinations of how much of each color fabric she might buy. Which equations model the total yards of fabric Sophie will buy? Check all that apply. x+y=28 28+x=y x-y=28 28-x=y 28-y=x
Answers
The correct answer would be options (A), (D), and (E)
x + y = 28
28 - y = x
28 - x = y
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The first column, yards of red fabric, x, has the entries 1, 2, 3, 4.
The second column, yards of blue fabric, y, has entries 27, 26, 25, and 24.
Sophie is buying fabric to make items for a craft fair.
when substitute x = 1 and y = 27
⇒ x + y = 1 + 27 = 28
So the equations model the total yards of fabric Sophie will buy as
⇒ x + y = 28
⇒ 28 - y = x
⇒ 28 - x = y
Hence, the correct answer would be options (A), (D), and (E)
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-3(k-8)-(k+5)=23 please explain how to do this
Answers
Answer:
k = -1
Step-by-step explanation:
-3(k-8)-(k+5)=23
Distribute
-3k +24 -k-5 = 23
Combine like terms
-4k +19 = 23
Subtract 19 from each side
-4k +19-19 = 23-19
-4k = 4
Divide by -4
-4k/-4 = 4/-4
k = -1
Answer:
k = -1
Step-by-step explanation:
Use the distributive property to eliminate parentheses. That property tells you that the outside factor multiplies each term inside parentheses:
-3(k -8) -(k +5) = 23
-3k -3(-8) -k -(+5) = 23
-3k +24 -k -5 = 23 . . . . simplify
-4k +19 = 23 . . . . . . . . . collect terms
-4k = 4 . . . . . . . . . . . . . subtract 19 from both sides
k = -1 . . . . . . . . . . . . . . . divide both sides by -4
_____
The rule for manipulating equations is, "any operation performed on one side of the equation must also be performed on the other side." Operations include addition, subtraction, multiplication, division, application of a function. Using the distributive property and collecting terms are ways to simplify equations that don't affect the truth of the equal sign (if those are done correctly).
In general, you make use of inverse operations to undo the operations you don't want. The goal is to get the variable by itself on one side of the equal sign.
PLSSSS HELP MARKING BRAINLIST question below
Answers
Hey There!!
Simplify the following:
2 (-20)+3 (5/4 (-20))+5×2/5×50+4×50
5/4 (-20) = (5 (-20))/4:
2 (-20)+3×(5 (-20))/4+5×2/5×50+4×50
2/5×50 = (2×50)/5:
2 (-20)+3×(5 (-20))/4+5×(2×50)/5+4×50
3×(5 (-20))/4 = (5 (-20) 3)/4:
2 (-20)+(5 (-20) 3)/4+5×(2×50)/5+4×50
5×(2×50)/5 = (2×50×5)/5:
2 (-20)+(5 (-20) 3)/4+(2×50×5)/5+4×50
(-20)/4 = (4 (-5))/4 = -5:
2 (-20)+5×-5×3+(2×50×5)/5+4×50
(2×50×5)/5 = 5/5×2×50 = 2×50:
2 (-20)+5 (-5) 3+2×50+4×50
2 (-20) = -40:
-40+5 (-5) 3+2×50+4×50
5 (-5) = -25:
-40+-25×3+2×50+4×50
-25×3 = -75:
-40+-75+2×50+4×50
2×50 = 100:
-40-75+100+4×50
4×50 = 200:
-40-75+100+200
-40-75+100+200 = (100+200)-(40+75):
(100+200)-(40+75)
300-(40+75)
300-115
Answer: | 185
Hope It Helps!
[tex]ItsNobody^{[/tex][tex]ItsNobody[/tex]
A map that was created using a scale of 1 inch : 3 miles shows a lake with an area of 18 square inches. what is the actual area of the lake?
Answers
Answer:
The area of the lake is actually 182 square miles 1 inch represents one side 3 miles long the other side is also 3 miles. 3×3=9 square miles. 1 Square Inch on the map represents 9 Square Miles.Step-by-step explanation:
The actual area of the lake is 162 square miles if the map that was created using a scale of 1 inch : 3 miles.
What is a scale factor?The ratio among comparable dimensions of an object and a model with that object, is known as an exponent in algebra. The replica will be larger if the scale factor is a whole number. The duplicate will be lowered if the step size is a fraction.
We have:
A map that was created using a scale of 1 inch : 3 miles
1 inch = 3 miles
1 square inch = 9 square miles
The area of the lake = 18 square inches
The actual area of the lake = 18×9 = 162 square miles
Thus, the actual area of the lake is 162 square miles if the map that was created uses a scale of 1 inch : 3 miles.
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The box plot shows the number of years during which 16 schools have participated in a marching band competition: A box plot is titled Years of Participation and labeled Years. Number line from 0 to 10 with primary markings and labels at 0, 5, and 10. The box extends from 3 to 7 on the number line. There is a vertical line at 5. The whiskers end at 1 and 10. At least how many schools have participated for 3 to 7 years? (4 points) 3 schools 5 schools 7 schools 8 schools
Answers
*see attachment showing the box plot
Answer:
8 schools
Step-by-step explanation:
In a typical box plot, data set are usually represented and denoted by quartiles in almost equal proportion. That is, 25% of the data set falls between the min and the Q1 value. From Q1 to median value, we have about 25%. From median to Q3, we have 25%, and from Q3 to the max, we have about 25%.
In the box plot given, we have:
Schools that have participated for at least 3 - 7 years fall within Q1 (3) and Q3 (7). Therefore, we have about 50% of the total number of schools that have spent 3 to 7 years.
No of schools that have spent at least 3 - 7 years = [tex] \frac{50}{100}*16 = 8 schools [/tex]
Answer:
8 schools
Step-by-step explanation:
I took the test and got it right.
Graph parallelogram WXYZ with coordinates W(-9,9) X(-6,9) Y(-4,4) Z(-11,4).Translate by moving right 5 and up 2. What are the coordinates of the transformed image? Line segment WX and line segment YZ are parallel. In the transformed image, is line segment W’Z’ parallel to line segment Y’Z’? Explain your answer.
Answers
Answer:
The coordinates of the trasformed image is W(-4,11) X(-1,11) Y(1,6) Z(-6,6)
WZ and YZ are not parallel
Step-by-step explanation:
the word form for 9.806
Answers
Answer:
Nine and eight hundred six thousandths
Step-by-step explanation:
You probably already know nine. The digits to the right of the decimal point are 8, 0, and 6. Their places are tenths, hundredths, and thousandths. When referring to a group of numbers in a sentence like in this situation, refer to them as the place value of the smallest number, in this case thousandths, making the answer nine and eight hundred six thousandths.
the diagram represents a 12 cm by 4 cm rectangle, calculate the area of the rectangle, giving the units of your answer.
Answers
Answer:
Answer: 48cm^2
Step-by-step explanation:
The formula for area of rectangle is length × width
So u do 12 × 4 = 48cm^2
Step-by-step explanation:
Answer:
48 cm^2
Step-by-step explanation:
Multiply the length and width of this rectangle to obtain its area:
(12 cm)(4 cm) = 48 cm^2
Theresa and Mark are playing cards. Each card is -50 points.
A) How many points does There have if she has 5 cards?
B) How many points does Mark have if he has 8 cards?
C) Who has more points?
Answers
*Since each card is worth -50 points, you need to remember that a positive times a negative integer gives you a negative integer.*
Part A) Theresa has 5 cards so: 5 x -50 = -250
Theresa has -250 points.
Part B) Mark has 8 cards so: 8 x -50 = -400
Mark has -400 points.
Part C) Theresa has more points because -250 is closer to 0 on a number line.
Answer:
Negative x Positive = Negative
A) -50 x 5 = -250
B) -50 x 8 = - 400
C) Theresa
-250 > -400
What are the steps, in order, needed to solve - 5 = 20? Add 5, and then divide by 2. Subtract 5, and then multiply by 2. Add 5, and then multiply by 2. Subtract 5, and then divide by 2.
Answers
Answer:
Add 5, and then multiply by 2
Step-by-step explanation:
Please help me understand this problem
Answers
Answer:
y = 6x
Step-by-step explanation:
Choose two points on the graph of this line for the purpose of calculating the slope (rise/run). One such point is (0, 0), which is a good choice because both x and y are exactly zero there. Another point would be (16, 96), as the line goes through this point exactly.
Then the slope is m = rise / run = 96/16 = 6.
We'll use y = mx + b, with x = 0 and y = 0, learning immediately that b must be 0.
Thus, the equation of this graph is y = mx + b => y = 6x, which is a proportional relationship.
Hi Dear Brainly User!
Answer: y = 6x
y and x:
12 - 2
24 - 4
36 - 6
.......
If we want to find m, we divide y by x. (m: the slope)
m = y/x = 12/2 = 24/4 = 36/6 = ... = 6
We use for find the y:
y = ax + b
Then, we write y = 0 and x = 0 on the formula.
And we find the b is 0.
If we multiply the slope by x, we get y.
y = 6*x = 6x
Sorry for my bad English.
-You should smile, everytime :)
is -7.5 a rational number
Answers
Answer:
Yes
Step-by-step explanation:
-7.5 is a rational number because it can be made by dividing two integers(-75/10)
abc is an isosceles triangle. Solve for x. In your final answer, include all of the necessary calculations
Answers
1. Using the Rule, sum of interior angles of a Triangle is Equal to 180:
180 - 88 = 92
2. Using the Rule that Angle A = Angle C ( since its an Isosceles triangle ) :
92 / 2 = 46
Therefore A=46 & C=46
3. Using the Rule, Angle of a Straight line is 180:
Angle of C = 46
X = 180 - 46
X = 134
Hence Solved ✌
I Hope it helps!
Answer:
The Angle of C = 46
X = 180 - 46
X = 134
Step-by-step explanation:
1) Determine the unit rate of travel for each animal by dividing the distance traveled (y) by the
number of hours (x).
Bottlenose Dolphin: 40 = 20 miles per hour
King Penguin: 40 = 5 miles per hour
Swordfish: 60 miles per hour
Answers
Answer:
It takes the Dolphin 2 hours for swimming 40 miles. The penguin takes 8 hours and the swordfish will take 2/3 of an hour, which is 40 minutes to travel 40 miles.
Step-by-step explanation:
Given :
The bottlenose dolphin travels 40 miles in 2 hours. Or it takes 20 miles in 1 hour.
Now, dividing the distance by unit rate given in the question:
40/20=2 hours
40/5=8 hours
40÷60= 2/3 hour
Therefore,
- the dolphin takes 2 hours for swimming 40 miles.
- the penguin takes 8 hours
- the swordfish takes 2/3 rd of an hour
U got ur answer
PLLSSSSS HELP MARKING BRAINLIST QUESTION BELOW
Answers
Answer:
C. The function shown on the graph has a greater rate of change, but a lower starting point.
Step-by-step explanation
5x-6=y (equation on the graph)
4x+2=y
5 is a greater rate of change (slope) compare to 4, however the y-intercept on the graph is lower (starting point) compare to the equation (2)