Ratios, Rates, and Circles Solve each problem. Show your work. Sierra has a pet Burmese python. It has grown too large for its enclosure and needs a new one. The rectangular base of the current enclosure has the length and width shown. Sierra decides to buy a larger enclosure that is a scale copy of the small one. The base of the new enclosure is 48 inches long. What is the perimeter of the new base?
Answers
Answer:
144in
Step-by-step explanation:
METHOD 1:
18 - 36
x - 48
36x = 18 * 48
36x = 864
x = 24
ALTERNATIVE METHOD:
18:36 (breadth:length)
1:2
When the length is 48in, the breadth is half the length, hence, the breadth is 24in.
Final Solution:
So, when the base is 48in, the width is 24in.
Since we have the two values
P = 2(l+b)
= 2(48+24)
= 2 * 72
= 144in
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Related Questions
Consider the following data set:
0, 10, 12, 3, 13, 7, 2, 5
Find the upper quartile.
Answers
Answer:
11
Step-by-step explanation:
The upper quartile Q3 is the median of the upper half of the data.
x + 5 ≤ 13
PLEASE help!!!!
Answers
Answer:
x ≤ 8
Step-by-step explanation:
x + 5 ≤ 13
x ≤ 13 - 5
x ≤ 8
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Answer:
x ≤ 8
Step-by-step explanation:
x + 5 ≤ 13 (subtract 5 from both sides)
x ≤ 8
4) Solve each pair of simultaneous equations.
a. x+y=1 y=2x-8
b. x+y= 19 y=5x+1
c. x+y=-2 y=x-10
5) Solve these simultaneous equations.
3x=y x=y-16
Answers
y=2x-8—(2)
(2) into (1)
x+(2x-8)=1
3x-8=1
3x=1+8
x=9/3
x=3—(3)
(3) into (2)
y=2(3)-8
y=-2
ans x=3, y=-2
b. x+y=19—(1)
y=5x+1—(2)
(2) into (1)
x+(5x+1)=19
6x+1=19
6x=19-1
x=18/6
x=3—(3)
(3) into (2)
y=5(3)+1
y=16
ans x=3, y=16
c.x+y=-2—(1)
y=x-10—(2)
(2) into (1)
x+(x-10)=-2
2x-10=-2
2x=-2+10
x=8/2
x=4–(3)
(3) into (2)
y=4-10
y=-6
ans x=4, y=-6
5) 3x=y—(1)
x=y-16–(2)
(2) into (1)
3(y-16)=y
3y-48=y
2y=48
y=48/2
y=24–(3)
(3) into (2)
x=24-16
x=8
ans x=8, y=24
Given are the points A(0,1) and B(4,-7). Find an equation (the point-slope form is perfectly acceptable) of the perpendicular bisector of line segment AB
Answers
Answer:
y + 3 = 1/2(x - 2)Step-by-step explanation:
Find the slope of the given line using the coordinates of A and B.
The slope:
m = (-7 - 1)/4 = -2Find the midpoint of segment AB:
x = (0 + 4)/2 = 2y = (1 - 7)/2 = -3The perpendicular line has a slope of 1/2 ( opposite-reciprocal of -2) and passes through the point (2, -3).
The equation of this line is:
y - (-3) - 1/2(x - 2)y + 3 = 1/2(x - 2)Slope-intercept form:
y = 1/2x - 4Please someone answer fast
The Maya______predicted the end of the world on December 21,2012
Answers
Answer: Calendar
Step-by-step explanation:
Basically, the Mayan Calendar was going through cycles, and December 21 2012 was the end of a cycle. It was close to the 13th Bak’tun, but instead of moving towards the next Bak’tun and so on, the Mayan calendar actually reset itself back to 0. But the Mayans did not predict the end of the world, we decided to interpret the calendar that way.
what is the y-intercept
Answers
Answer: y-intercept=0
Step-by-step explanation: it meets at the origin, so its 0
I need it ASAP.
The sum of three numbers is 95. The second number is 7 more than the first. The third number is 4 times the second. What are the numbers?
Answers
Answer:
I think the answer is 2,660 i am not really sure but that's my answer sorry if i got it wrong
The ratio of the number of cups of yellow paint to the number of cups of blue paint that Greg mixed to make a shade of green paint is 2:1.
Part A: Write a sentence to describe the number of cups of yellow paint that Greg mixed with each cup of blue paint. (4 points)
Part B: How many cups of blue paint should Greg add to each cup of yellow paint to make the shade of green? Explain your reasoning. (4 points)
Part C: If Greg purchased 6 cups of yellow paint for $54, what is the unit price per cup of yellow paint? (2 points)
(GIVING 15 points)
Answers
Answer:
Part A: A ratio of 2:1 means that he uses 2 cups of yellow paint for each cup of blue paint.
-------------------------------------------------------------------------------------------------
Part B: The ratio of yellow to blue is 2:1 = 2/1. So, if for 2 yellow is 1 blue, then for 1 yellow is x:
2/1 = 1/x
x = (1*1) / 2
x = 1/2
For each cup of yellow paint, Greg should add 1/2 cup of blue paint.
-------------------------------------------------------------------------------------------------
Part C: 6 cups cost $54, then 1 cup cost:
54 / 6 = 9
The price per cup of yellow paint is $9.
A. The number of cups of yellow paint that Greg mixed with each cup of blue paint is (1/2) cup.
B. Greg should add 2 cups of blue paint to each cup of yellow paint.
C. The unit price of per cup of yellow paint is 9 dollars.
What is the ratio?The ratio compares similar quantities in simplest form.
Given that the ratio of the number of cups of yellow paint to the no. of cups of blue paint to make a green shade paint is 2:1.
This can also be written as
(yellow paint/blue paint) = (2/1).
∴ 1 cup of yellow paint and 2 cups of blue paint is required to make a green shade of paint.
A. The number of cups of yellow paint that Greg mixed with each cup of blue paint is (1/2) cup.
B. Greg should add 2 cups of blue paint to each cup of yellow paint.
C. The unit price of per cup of yellow paint is (54/6) = 9 dollars.
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Yesterday the children at Deion’s preschool chose to pursue various play with stuffed animals 15, read books 2, paint 1, play math game 1, Based on past data, if 24 preschoolers are at school today, how many should you expect to read books?
Answers
Based on past data, we can expect that 2 preschoolers will be reading books today out of the total of 24 preschoolers present. we can apply this ratio to the total number of preschoolers present today.
To determine the expected number of preschoolers who should be reading books today, we can use the ratio of the number of preschoolers who chose to read books yesterday to the total number of preschoolers present yesterday.
Yesterday, there were 24 preschoolers present, and 2 of them chose to read books. Therefore, the ratio of preschoolers reading books to the total number of preschoolers yesterday is:
2 / 24
To find the expected number of preschoolers reading books today, we can multiply this ratio by the total number of preschoolers present today (which is 24):
(2 / 24) * 24
Simplifying this expression, we find:
2
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15. Matthew and some friends are going to a concert. They hire a car service for $60 to
drive them to a restaurant for dinner and then to the concert. They divide the $75 cost
of the dinner equally. However, since Matthew's dad provided concert tickets for the
group, the friends agree that Matthew doesn't have to help pay for the car service.
The friends divide this cost equally among themselves. If each friend spends a total of
$30, how many friends went to the concert with Matthew?
A4
B5
C6
D7
Answers
Answer:
7
Step-by-step explanation:
i got it correct on my test
Nine times a number more than 8 equals 12.
What is the number?
Pls Help!
Answers
Answer:
21
Step-by-step explanation:
_A triangle has height 15 in. and area 120 in... What is
the length of its base?
Answers
3240000 boooooooooooooooom
Answer:
16 inches
Step-by-step explanation:
21 p?=u² + 2as
u= 12 a = -3
s= 18
(a) Work out a value of v.
Answers
Answer:
6 or -6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex]v^2 = 12^2 + 2(-3)(18)[/tex] [tex]v^2 = 144 + (-6)(18)[/tex] [tex]v^2 = 144- 108[/tex] [tex]v^2 = 36[/tex]Step 2: Take square root of both sides.
[tex]\sqrt{v^2} =[/tex] ± [tex]\sqrt{36}[/tex] [tex]v =[/tex] ± [tex]\sqrt{36}[/tex] [tex]v = 6[/tex] or [tex]-6[/tex]Therefore, the answer is 6 or -6.
A. 0.15
B. an equal sign
C. a multiplication sign
D. a percent sign
Answers
Answer:
C.
Step-by-step explanation:
Because “of” means multiplication
PLEASE HELP i have no idea how to solve this L teacher for being rude when i asked for help
Answers
Answer:
I assume your teacher is asking you to prove how lines a and b are parallel. The given is the example: Line l and m are parallel because angles 1 and 2 are congruent. So I assume in the statement box you would write it like the given example and in the reason you would explain that statement. Hope this helps
Please help. Geometry!
Answers
5x+15=180
5x=165
x=33
Angle 5 = 2(33)+11
Angle 5 = 77 degrees
henry is 7 years older than his brother,ted.the sum of their ages is 23 years how old is each
Answers
Answer:
The answer is Henry is 15 and Ted is 8.
Step-by-step explanation:
Step 1: Take 7 away from 23. You will then get 16.
Step 2: Divide 16 by 2. Your answer will then be 8.
8 will end up being Ted's age.
Step 3: Add 7 to 8. Once you do this, you will get Henry's age.
You start at (-2, -1). You move up 6 units. Where do you end?
Answers
Answer:
(-2,5)
Step-by-step explanation:
Since you're only moving up on the graph then only the Y axis will change and -1+6 is 5.
Answer:
(-2,4)
Step-by-step explanation:
When you move UP it changes the Y axis so you just add whatever number to there. But when you move down it subtracts the number of units your moving.
WHICH NUMBER LINE MODEL REPRESENTS THE EXPRESSION: 2.5 + 4.5?
A)
B)
C)
Answers
can someone help me with this I'm stuck
Answers
Answer:
you got to subtract 4 from 1
May I please receive help?
Answers
Hi there!
We know that:
m∠WXZ = 112°
Since m∠1 is 48° greater than m∠2, we can write an expression:
m∠2 = x°
m∠1 = (x + 48)°
Since both angles sum up to m∠WXZ, we can write this as:
112° = x° + (x + 48)°
Solve for x:
112 = 2x + 48
64 = 2x
x = 32°
The function y=5x+10 represents the total cost y of a group of x members to go paintballing.
What do the independent and dependent variables represent?
Answers
Answer:
The independent variable (x) represents the members to go paintballing.
The dependent variable (y) represents the total cost.
Step-by-step explanation:
The y is always dependent on the x. The number of people attending affects the total cost of the trip. The more people attend, the more it costs.
Three increased by twice a number is at least -7. Write the inequality and then try to solve it!
Answers
Answer:
Inequality: 3+2n≥-7
Solve for n: n≥-5
Step-by-step explanation:
3+2n≥-7
2n≥-10
n≥-5
Write the slope-intercept form of the line with a slope of 2 and a
y
-intercept of -4. Include your work in your final answer. Type your answer in the box provided to submit your solution.
Answers
y = 2x - 4
Step-by-step explanation:
Slope-intercept is written in this form:
y = mx + b
Where m = slope and b = y-intercept
With this information, plug in the slope and the y-intercept where they belong
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept. y=2x-4 is the slope-intercept form of the line with a slope of 2 and a y-intercept of -4.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope intercept form of a line is y=mx+b,
where m is slope and b is the y intercept.
slope-intercept form of the line with a slope of 2 and a y intercept of -4.
m=2 and b=-4
Substitute the m and b value in slope intercept form.
y=2x-4.
Hence y=2x-4 is the slope-intercept form of the line with a slope of 2 and a y-intercept of -4.
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Write a formula that shows the dependent of the mass of a piece of cork on its volume note the density of the cork is 0.18 g/cm^3. Then use the formula to find the answer.
The volume of a piece of cork with a mass of 64.8g
Answers
Answer:
43.2 grams
Step-by-step explanation:
We will use density formula to solve our given problem:
he mass of a piece of cork with a volume of 240 cm³ is 43.2grams
The formula for calculating the density of a substance with mass "m" and volume "v" is expressed as:
m is the mass of the substance
v is the volume of the substance
Given the following parameters
Density = 0.18g/cm³
Volume = 240cm³
Substitute the parameters into the formula to get the mass:
Which of the following is equivalent to 2/5 x 3/8?
A. 3/8 / 2/5
B. 2/5 / 3/8
C. 2/5 / 8/3
D. 5/2 / 8/3
Answers
Explanation:- 2/5 x 3/8 = 0.15
2/5 / 8/3 = 0.15
Help how to do it because this is hard
Answers
Multiply $315 by 5 weeks to determine how much is his 5-weeks’ worth of work:
$315 × 5 weeks = $1,575.
Next, we need to multiply $1,575 by 40% or 0.40 to determine the agency’s fee:
$1,575 × 0.40 = $630
40% of Enid’s 5-week pay = $630.
Therefore, Enid must pay the employment agency $630.
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The playing area of a board game is a rectangle with
the length of 14 inches and a width of 20 inches.
What is the area of the board game?
Answers
Area formula is A=L*W
14*20= 280
Performance task trigonometric identities
Answers
x = 0
Simplify — x/ 2
x ((((cs•(c2))•x)-2c3sx2ot)+((co•(t2))•x))-((ta•(n2))•—) = 0 2
xtan2 ((((cs•(c2))•x)-2c3sx2ot)+((co•(t2))•x))
Equivalent Fraction:
Rewrite the whole as a fraction using 2 as the denominator :
-2c3sx2ot + c3sx + cxot2 (-2c3sx2ot + c3sx + cxot2) • 2 -2c3sx2ot + c3sx + cxot2 = 0
The equations are solved below using trigonometric identities.
What are trigonometric identities?Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.
[tex]\frac{sin(x)}{1-cos(x)} -cot(x) = cosec(x) \\\\LHS= \\\\=\frac{sin(x)}{1-cos(x)} -cot(x) \\\\=\frac{sin(x)}{1-cos(x)} -\frac{cos(x)}{sin(x)}\\ \\\frac{sin^{2}(x) - (1-cos(x))cos(x) }{sin(x)(1-cos(x))}\\\\=\frac{sin^{2}(x)-cos(x) +cos^{2}(x) }{sin(x)(1-cos(x))}\\\\=\frac{1-cos(x)}{sin(x)(1-cos(x))}\\ \\=\frac{1}{sin(x)} \\\\=cosec(x)\\\\RHS=\\\\=cosec(x)[/tex]
[tex]cosec(x)^{2} - 2cosec(x)cot(x) + cot(x)^{2} = tan^{2}(\frac{x}{2})\\\\LHS= \\\\= cosec(x)^{2} - 2cosec(x)cot(x) + cot(x)^{2} \\\\=( cosec(x) - cot(x) )^{2} \\\\=(\frac{1-cos(x)}{sin(x)}) ^{2}\\\\=(\frac{(1-cos(x))(1+cos(x))}{sin(x)(1+cos(x))}) ^{2}\\\\=(\frac{sin(x)^{2} }{sin(x)(1+cos(x))}) ^{2}\\\\=(\frac{sin(x) }{1+cos(x)}) ^{2}\\\\=(\frac{2sin(x/2)cos(x/2) }{1+2cos^{2}(x/2)-1}) ^{2}\\\\= (\frac{sin(x/2)cos(x/2) }{cos^{2}(x/2)}) ^{2}\\\\= tan^{2}\frac{x}{2}\\\\RHS = \\\\=tan^{2}\frac{x}{2}[/tex]
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Simplify 4(12x−14y+3)
Answers
Answer:
48x - 56y +12
Step-by-step explanation:
Use the distributive property to simplify
(multiply each number in the parenthesis by 4)
4(12x−14y+3)
(4 * 12x)+ (4 * -14y) + (4*3)
48x - 56y +12
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