Final answer:
To find the perimeter of Jill's room in the scale drawing, convert the actual room measurements using the scale and then calculate the perimeter based on the scaled dimensions. The perimeter on the drawing is 12 inches.
Explanation:
The question asks us to calculate the perimeter of a room in a scale drawing. Jill's room measurements are 12.5 feet in length and 11.5 feet in width, with a scale of 0.5 inch equals 2 feet. To find the perimeter on the drawing, we first convert the actual measurements into scale measurements:
Scale for Length: 12.5 feet / 2 feet = 6.25; then 6.25 × 0.5 inch = 3.125 inches.
Scale for Width: 11.5 feet / 2 feet = 5.75; then 5.75 × 0.5 inch = 2.875 inches.
Next, we calculate the perimeter of Jill's room on the drawing:
Perimeter = 2 × (Length + Width) in the drawing.
Perimeter = 2 × (3.125 inches + 2.875 inches) = 2 × 6 inches = 12 inches.
Therefore, the perimeter of Jill's room on the drawing is 12 inches.
What's -2x-x+8
?? Thanks
for f(x)=5x+1 find f(x) when x=2 and when x=3
Answer:
f(x)=11 and f(x)=16
Step-by-step explanation:
f(x)=5(2)+1
f(x)=11
f(x)= 5(3)+1
f(x)=16
3x - 2 (x + 3) = 4x - 7
The math club is selling gift wrap for a fundraiser. They sold all 45 rolls of solid wrapping paper at $4 each and rolls of patterned wrapping paper at $5 each. If they made $265, how many rolls of patterned wrapping paper did they sell?
Using the distributive property, which expression is equal to 7(9 - 5)? 7*9 - 7*5 7*9 + 7*5 7(5 - 9) 7+5 - 7+9
Answer:
7(9 - 5)
Step-by-step explanation:
63 - 35 = 28
A triangle has one angle measuring 3X degrees the second angle measures 2X +20° and the third angle measures 4X -20° what is the value of X
Answer:
[tex]x=20[/tex]
Step-by-step explanation:
We have been a triangle has one angle measuring [tex]3x[/tex] degrees the second angle measures [tex]2x+20[/tex] degrees and the third angle measures [tex]4x-20[/tex] degrees. We are asked to find the value of x.
We know that all interior angles of a triangle add up-to 180 degrees.
[tex]3x+2x+20+4x-20=180[/tex]
Combine like terms:
[tex]3x+2x+4x-20+20=180[/tex]
[tex]9x=180[/tex]
Divide both sides by 9:
[tex]\frac{9x}{9}=\frac{180}{9}[/tex]
[tex]x=20[/tex]
Therefore, the value of x is 20 for our given triangle.
HELP ME PLEASE!!!!
Construct the perpendicular bisector of each side of the given triangle. What do you observe about these bisectors?
The digit with the greatest value 6789
Evaluate -2/3 to the 4th power
How many ways can you stack 77 books into equal piles
Patio covers 56 square yards find length of a side of patio to nearest tenth of yard
The length of a side of the patio, rounded to the nearest tenth of a yard, is 7.5 yards.
Explanation:To find the length of a side of the patio, we need to find the square root of the area. The area of the patio is given as 56 square yards.
To find the length of a side, let's take the square root of 56. The square root of 56 is approximately 7.48.
Therefore, the length of a side of the patio, rounded to the nearest tenth of a yard, is 7.5 yards.
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differentiation. questions 1 and 2
Solve inequality.
x + 1 > -5(7 - 2x)
The Johnsons framed a family picture to hang on the wall. The perimeter of the frame is 72 inches. Use the formula p= 2l ÷ 2w to find the length of the frame if the width is 14 inches
The sum of four consecutive odd integers is 176
The numbers are 41,43,45,47.
Given that,
The sum of four consecutive odd integers is 176.Based on the above information, the calculation is as follows:
x + x + 2 + x + 4 + x + 6 = 176
4x + 12 = 176
4x = 164
x = 41
So, the four consecutive odd numbers are 41, 43, 45, 47
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Berto has $12 to put gas in his car. If gas costs $3.75 per gallon, which ordered pair relating number of gallons of gas, x, to the total cost of the gas, y, includes the greatest amount of gas Berto can buy?
Answer:
The required ordered pair is (3.2,12).
Step-by-step explanation:
Let the x be the relating number of gallons of gas and y be the total cost of the gas.
It is given that the cost of gas is $3.75 per gallon. Total cost of x gallons is
[tex]y=3.75x[/tex]
Berto has $12 to put gas in his car.
[tex]y\leq 12[/tex]
[tex]3.75x \leq 12[/tex]
Divide both sides by 3.75.
[tex]x \leq 3.2[/tex]
The maximum number of gallons of gas is 3.2 and the total cost of the gas is 12.
Therefore the required ordered pair is (3.2,12).
Sara recorded the height of the ocean at low tide, with respect to sea level, for four days.
Time Low Tide (inches)
Monday a.m. −4
Monday p.m. −6
Tuesday a.m. −3
Tuesday p.m. −1
Wednesday a.m. 0
Wednesday p.m. 2
Thursday a.m. −1
Thursday p.m. −3
What is the average height of the ocean at low tide with respect to sea level?
The average height of the ocean is -2.
What is Average?Average The arithmetic mean is calculated by adding a set of integers, dividing by their count, and then taking the result.
For instance, the result of 30 divided by 6 is 5, which is the average of 2, 3, 3, 5, 7, and 10.
Averages are used to condense a vast number of data points into a single value. It is a visual depiction of all the data set's accessible numbers.
Given data:
Monday a.m.: −4
Monday p.m.: −6
Tuesday a.m.: −3
Tuesday p.m.: −1
Wednesday a.m.: 0
Wednesday p.m.: 2
Thursday a.m.: −1
Thursday p.m.: −3
So, the average height of the ocean at low tide
=(-4 + (-6)+ (-3)+ (-1) + 0+ 2 + (-1) + (-3))/8
= (-18 + 2 ) / 8
= -16 /8
= -2
Hence, the average height of the ocean is -2.
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how do u decompose 122 and 3 in math
Final answer:
Decomposing the number 122 involves breaking it into place values: 100 + 20 + 2. The number 3 is prime and can't be decomposed further except when used as an exponent, as in 3² = 9. Decomposing non-integer exponents, suggested by 3¹.⁷, is complex and often requires a calculator for exact results.
Explanation:
To decompose the number 122 in mathematics means to break it down into parts that can be more easily understood or used in calculations. One common method of decomposition is to break the number into its place values. For 122, this would be 100 + 20 + 2. As for the number 3, it is a prime number and cannot be decomposed into other numbers, except if we are talking about an operation such as factoring 3², which would be 3 x 3 or 9.
When dealing with exponents, as in the expression 3¹.7, we face a different type of decomposition. This is not a standard notation, and it might be a typo, as decimal exponents are not normally used. However, if we try to make sense of it, we could assume the intention was to represent a non-integer exponent, which might occur in expressions like [tex]3^{(17/10)[/tex], which would have to be calculated using a calculator or logarithms for a precise result. The decomposition in such scenarios is not as straightforward as with integer exponents like in 3´, which is simply 3 x 3 x 3 x 3.
number 8 d+3n=1 solve for n
if a doctor prescribes tablets with a strenght of 0.2 mg and 0.6 mg is ordered, how many tablets should the patient take?
What is 4 3/4 times 2 1/8 5 simplified? Helppppp
What is the equivalent decimal to 1/2?
click on the graph until the graph of a line with undefined slope appears
please help! picture is above!
The slope is undefined for figure 2.
In general, when the x-values or x-coordinates is the same for both points, the slope is undefined.
For example, let us try to get the slope for a line passing through the points (1, 3) and (1, 9)
Let x₁ = 1 , y₁ = 9 and x₂ = 1 and y₂ = 3
Slope, m = (y₂ − y₁)/((x₂ − x₁)
m = (3 − 9)/(1 − 1)
m = -6/0, which is undefined.
You get a large ice-cream cone for $2.99 and a bottle of water for $1.07 . You pay with a 10 -dollar bill. How much change will you get back?
The money obtained back after payment is $5.94.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
Given that,
The cost of ice-cream is $2.99.
And, the cost of water bottle is $1.07.
The total money paid is $10.
Now, the change that can be got back is obtained by arithmetic operation as follows,
10 - (2.99 + 1.07)
= 10 - 4.06
= 5.94
Hence, the change that is got after the payment is $5.94.
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A cafeteria sells 30 drinks every 15 minutes.How many drinks would they sell in 1 hour?
A student solved the following problem and made an error:
Triangles ABC and DEF. Angles A and F are congruent and measure 63 degrees. Coordinates for the vertices are at A 1, 2 and B 1, 4 and C 3, 3 and D 5, 1 and E 3, 2 and F 5, 3.
Line 1 segment AB equals 2, segment FD equals 2, segment AB is congruent to segment FD
Line 2 ∠A ≅ ∠F
Line 3 Length of segment AC.
A (1, 2)
C (3, 3)
d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub 1 squared, then d equals square root of quantity 1 minus 3 all squared plus quantity 2 minus 3 all squared, then d equals square root of negative 2 squared plus negative 1 squared, then d equals square root of 4 plus 1, then d equals square root of 5
segment AC = 2.23
Line 4 Length of segment EF.
E (3, 2)
F (5, 3)
d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub squared then d equals square root of quantity 3 minus 5 all squared plus quantity 2 minus 3 all squared, then d equals square root of negative 2 squared plus negative 1, then d equals square root of 4 plus 1, then d equals square root of 5
segment EF= 2.23
Line 5 segment AC is congruent to segment FE
Line 6 triangle ABC is congruent to triangle EFDby SAS
In which line did the student make the first mistake?
Line 1
Line 5
Line 6
Line 2
Rodrigo researched the number of pets owned in the U.S. and displayed his results in the bar graph shown. in his research, he found that $7,737.6 million was spent on annually on veterinary visits for the dogs and $5,913 million was spent annually on visits for cats. How much more was spent, on average, by each person for dogs than cats?
Answer:
$29 million is spent more by each person for dogs than cats.
Step-by-step explanation:
Amount spent on visits for the dogs = $7,737.6 millions.
Number of dogs owned = 31.2 millions (by bar graph)
∴ On average amount spent on each person = [tex]\frac{7,737.6}{31.2} = $248 millions [/tex]
Amount spent on visits for the cats = $7,737.6 millions.
Number of cats owned = 27 millions (by bar graph)
∴ On average amount spent on each person = [tex]\frac{5913}{27} = $219 millions [/tex]
Thus, on average, by each person amount spent for dogs than cats = $248 millions - $219 millions = $29 millions.
On Monday two hundred ninety students went on a trip to the zoo.All five buses were filled and only five students had to travel in cars.How many students were in each bus?
As of December 2006, the national debt was $8.6 trillion, or 8.6 x 1012 dollars. At that time, the U. S. population was approximately 300,000,000 (300 million), or 3 x 108. If the national debt was evenly divided among every individual in the United States, how much would each citizen have to pay?
Write 28 as a product of its prime factors write the factors in order, from smallest to largest
Final answer:
To express 28 as a product of its prime factors, you would write [tex]28 = 2^2 \times 7[/tex], where 2*2 represents 2 multiplied by itself and 7 is a prime number.
Explanation:
To write 28 as a product of its prime factors, we begin by finding the smallest prime number that divides 28. Since 28 is an even number, we know it's divisible by 2. So we start with 2 and keep dividing:
28 ÷ 2 = 14
14 ÷ 2 = 7
Now, 7 is a prime number and cannot be divided further except by 1 and itself. So, we end up with:
28 = 2 × 2 × 7
We can also express this using exponents:
28 = 2² × 7
These are the prime factors of 28, written in order from smallest to largest.