The first one is 1:4 and the second is 4:1.
All there is to do is simple division (or simplifying). In the first set of two numbers side length is 6 and perimeter is 24. So if it's side length to perimeter then 6 to 24 which can be simplified to 1 to 4 and just switch the numbers with perimeter to side length.
Answer:
1. Side length to perimeter = 1:4
2. Perimeter to side length = 4:1
Step-by-step explanation:
Ok, so ratios are basically a way to compare two things.
For example, if someone askes the ratio of boys to girls in Mrs. White's class. Say there are 12 boys and 9 girls.
boys to girls = 12 to 9
That's a ratio!
Ratios are typically written like "12 to 9" (with the word "to") or "12:9" (with a colon) but there are also other ways.
In THIS question, you have to find the ratio of side length to perimeter and then vice versa. So, we see that the first number listed for side length is 6, and the first number for perimeter is 24. As we look down the chart, we should notice a pattern- the perimeter is 4 times as much as the side length! Therefore, the ratio of side length to perimeter is 1:4. To find the ratio of perimeter to side length, we just switch the order of the numbers. Now it's 4:1.
There! It's pretty simple! You just are finding the unit ratio!
If you need any more help, let me know! :)
At what ordered pair is "Parking Lot B" located at?
The ordered pair of the parking lot is the coordinates of the lot in the coordinate plane
Parking lot B is located in the ordered pair (-3,4)
How to determine the ordered pair of lot BFrom the figure, we have the following highlights
Parking lot B is located at x = -3 on the horizontal axis, and it is located at y = 4 on the vertical axis.
So, we have:
(x,y) = (-3,4)
Hence, parking lot B is located in the ordered pair (-3,4)
Read more about ordered pairs at:
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The café's menu lists 3 choices: Egg &Chips -£3.00 Sausage & Chips - £3.60 Sausage & Mash - £2.70 How much would it charge for Egg & Mash?
The price of the given menu items can be used to find the price of Egg &
Mash to be £2.1.
Response:
The price for Egg & Mash is £2.1
Which method can be used to find the price for Egg & Mash?Let x represent the cost of Egg, let y represent the cost of Chips, let
z, represent the cost of Sausages, and a the cost of Mash we have the
following system of linear equations;
x + y = 3...(1)
z + y = 3.6...(2)
z + a = 2.7...(3)
x + a = Required
Solution:
Subtracting equation (1) from (2) gives;
z + y - (x + y) = 3.6 - 3 = 0.6
z - x = 0.6
Therefore;
z is £0.6 more expensive than x
x = z - 0.6
By plugging in the value of x = z - 0.6, gives;
x + a = z - 0.6 + a = z + a - 0.6
z + a = 2.7, which gives;
x + a = z + a - 0.6 = 2.7 - 0.6 = 2.1
Egg and Mash = x + a = £2.1Learn more about system of simultaneous equation here:
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is x =4 a solution of the equation
13=2x + 4?
A.yes
B.no
No, it is not. If you plug 4 into the equation in the place of x, you get 13=2(4)+4
13=8+4
13=12
It equals 12, not 13.
Answer:
No
Step-by-step explanation:
Because If You Do 2 x 4 you get 8 and 8 + 4 = 12 and not 13 so the answer is 4.5 because 4.5 x 2 = 9 and 9 + 4 = 13
Tom earned 5600 last summer delivering newspapers. This summer, he earned 20% more. How much did he earn this summer?
Answer:
$6,720
Step-by-step explanation:
20% of 5600 is 1120.
1120+5600= 6,720
A tractor-trailer travels 205. 296 miles in 3. 12 hours. What is the speed at which the tractor-trailer is traveling? A. 62. 05 miles per hour B. 63. 2 miles per hour C. 64. 05 miles per hour D. 65. 8 miles per hour E. 66. 5 miles per hour.
Answer:
65.8 mph
Step-by-step explanation:
What I did was I divided 205.296 by 3.12 and I got 65.8.
You have Pennies and nickles that are equal to $8.80. You have twice the number of nickles than Pennies. Write an equation for this problem. How many nickles do you have and how many Pennies do you have?
Answer:
Step-by-step explanation:
Let's set up the variables as nickel=n and penny=p, for how many coins he has of each type. What we know is that Calvin had $8.80 total and that he has twice as many nickels as pennies. So, one equation for his total money and another for how many separate coins: 8.80 = 0.01p + 0.05n 2p=n
This shelf is perpendicular to the wall. The shelving bracket makes an angle with the wall that measures 120°. Find the measures of the two interior acute angles shown. A. 50° and 40° B. 30° and 60° C. 46° and 20° D. 50° and 50°
Answer:
B
Step-by-step explanation
i just did it
Answer:
(B) 30 and 60 degrees
Step-by-step explanation:
if the radius of a circle is increased by 50 perent what will be the percent increase in the circumfrence
Answer:
50%
Step-by-step explanation:
The equation for circumference is:
[tex]C=2\pi r[/tex]
In this case, the radius and the circumference are directly proportional meaning that if the radius increases by 50%, the circumference will also increase by 50%.
Let's use some examples to prove this:
Radius : 2
Increase by 50% : 2*50%=2*(50/100)=2(1/2)=1 --> 1+2 = 3
[tex]C=2\pi r=2\pi 3=6\rightarrow 50 \ percent\ increase\ from\ 4\\C=2\pi r=2\pi 2=4[/tex]
Radius : 4
Increase by 50% : 4*50%=4*(50/100)=4(1/2)=2 --> 2+4 = 6
[tex]C=2\pi r=2\pi 6=12\pi\rightarrow50\ percent\ increase\ from\ 8\\C=2\pi r=2\pi 4=8\pi[/tex]
In both cases, when we increased the radius by 50%, the circumference also increased by 50%, proving our previous statement correct.
Therefore, when the radius of a circle is increased by 50%, the circumference will also increase by 50%
8 1/3 divided by x=2 1/3 divided by 8.1
Answer:
[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]
Step-by-step explanation:
[tex]\textsf{We are asked to solve for x in the given equation.}[/tex]
[tex]\large\underline{\textsf{What are Equations?}}[/tex]
[tex]\textsf{Equations are statements that determine 2 or more expressions are equal.}[/tex]
[tex]\underline{\textsf{This means that;}}[/tex]
[tex]\tt \frac{8 \frac{1}{3} }{x} \ is \ equal \ to \ \frac{2 \frac{1}{3} }{8.1}[/tex]
[tex]\textsf{For equations, rather \underline{proportions} such as these, we should \underline{Cross Multiply}.}[/tex]
[tex]\large\underline{\textsf{What are Proportions?}}[/tex]
[tex]\textsf{Proportions are comparisons to the size, and how large/small a value is.}[/tex]
[tex]\large\underline{\textsf{What is the Cross Multiplying?}}[/tex]
[tex]\textsf{Cross multiplying is indeed as simple as it sounds, basically multiply the oppsite}[/tex]
[tex]\textsf{known value by another known value, then divide the product by last known}[/tex]
[tex]\textsf{number. This sounds like a lot, but I'll give an example.}[/tex]
[tex]\underline{\textsf{Example;}}[/tex]
[tex]\tt \frac{1}{3} = \frac{2}{x}[/tex]
[tex]\textsf{We are asked to find x in the given proportion. We should use the cross}[/tex]
[tex]\textsf{multiplication method. Note that we should multiply the known values that are}[/tex]
[tex]\textsf{on opposite sides, and leave the known value with x as its opposite value alone}[/tex]
[tex]\textsf{until we have our product.}[/tex]
[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x}[/tex]
[tex]\textsf{3 and 2 are opposite from each other, hence we'll multiply them.}[/tex]
[tex]\tt \frac{1}{\small\boxed{\tt 3}} = \frac{\small\boxed{\tt 2}}{x} \rightarrow \frac{6}{1} = x[/tex]
[tex]\textsf{We'll divide by the last remaining known value, 1, then that should be the value}[/tex]
[tex]\textsf{of x.}[/tex]
[tex]\tt x = 6[/tex]
[tex]\large\underline{\textsf{Solving;}}[/tex]
[tex]\textsf{Use the Cross Multiplication Method.}[/tex]
[tex]\tt \frac{8 \frac{1}{3} }{x} = \frac{2 \frac{1}{3} }{8.1}[/tex]
[tex]\tt 8 \frac{1}{3} \ \textsf{and} \ \tt 8.1 \ \textsf{are opposite from each other, which means we will multiply those}[/tex]
[tex]\textsf{values together.}[/tex]
[tex]\tt \frac{ \small\boxed{\tt 8 \frac{1}{3}} }{x} = \frac{2 \frac{1}{3} }{\small\boxed{\tt 8.1}} \rightarrow 67.5.[/tex]
[tex]\textsf{Our product is 67.5, which means we are ready to divide 67.5 by 2} \tt \frac{1}{3} .[/tex]
[tex]\tt x = \frac{67.5}{2 \frac{1}{3} }[/tex]
[tex]\textsf{This quotient is going to be irrational, hence I will round to 7 digits.}[/tex]
[tex]\large\boxed{\tt x \approx 28.9 \overline{285714}.}[/tex]
HELP ME PLEASE HURRY THIS IS DUE IN 30 MINS
Answer:
F(x)= (x-5)(x+3)
Step-by-step explanation:
we have two roots/ X-intercepts meaning we can assume that it is a quadratic function
Solve 5p(2p - 3)(p + 7) = 0.
p=___, p=____, p=_____
Answer:
5p(2p-3)(p+7)=0
10p-15 p +7 =0
10p+p=0+15-7
11p =8
11p=8
p=8/11
Answer:
p=0, p=1.5, p=-7
Step-by-step explanation:
Assuming we need the equation to equal zero we do this.
5p(2p-3)(p+7)
5p = 0 (2p-3) = 0 (p+7)= 0 Separate each part
5(0) = 0 2(1.5)-3 = 0. (-7)+7 = 0 Replace P so the outcome is 0
p=0, p=1.5, p=-7 Solution
please help !!!!! If (x−3)^2=5, what values of x make the quadratic equation true?
Answer:
x = 3 ±√5
Step-by-step explanation:
We can take the square root of both sides of the equation:
(x -3)^2 = 5 . . . . . . . . given
x -3 = ±√5 . . . . . . . . square root
x = 3 ±√5 . . . . . . . . add 3
_____
Additional comment
It is a good idea to remember this process. It is the final step in solving a quadratic by "completing the square."
please help me. B more than 9
how many times does 144 go into 204?
Answer:
1.4166
Step-by-step explanation:
204/144
Hope this helps!!
Answer:
144 can go into 204 once cause if it goes twice it gonna be 288
Please help me in this question!
Step-by-step explanation:
The second part fir y
Explained in pic
Triangle BCD, with vertices B(-2,-7), C(-4,-2), and D(-7,-4), is drawn on the coordinate grid below.
What is the area, in square units, of triangle BCD?
(Geometry)
Answer:
[tex] \frac{4}{15} [/tex]
in percentages
In the year 2003, a company made $6.5 million in profit. For each consecutive year after that, their profit increased by 8%. How much would the company's profit be in the year 2007, to the nearest tenth of a million dollars?
Answer:
$8,580,000 (rounded) = $9,000,000
Step-by-step explanation:
Keep in mind, 2007 is four years after 2003.
So, 8(%) • 4 = 32(%)
Over the course of 4 years, the companies profits increased by a total of 32 percent.
(*Write 6.5m in standard form)
6,500,000 + 32% = $8,580,000
8,580,000 (rounded up) = 9,000,000
Show all your work and the answer in the space below.
Answer:
m= 12
Step-by-step explanation:
[tex]\frac{3m+4}{8} = 5[/tex]
First multiply both sides by 8 to cancel out the 8 on the left side
[tex]3m + 4 = 80[/tex]
Isolate the m so subtract 4 from both sides.
[tex]3m = 36[/tex]
Divide both sides by 3.
[tex]m = 12\\[/tex]
The table shows a probability of drawing numbered tickets from a jar if 8 tickets are randomly drawn how many tickets would be expected to have a number that ends with a 6
Answer:
4
Step-by-step explanation:
If you do .50 x 8 from each ticket being drawn and the probability you get 4
Estimate to compare. Select < or >. Round each number to the nearest whole number to estimate each sum.
2.73 + 5.28 ? 3.12 + 1.72
estimate estimate
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isaac parents paid $3,200 per month to rent an office space for their own business. Of this amount, $325 was for the utilities. What percent of their rental cost was for the utilities
Tony wants to buy 2.3 pounds of dried berries and 2.6 pounds of trail mix. How much will he spend?
Need help with MATH!!!!
Answer:
-47/48
Step-by-step explanation:
Can anyone please help me with this? I’d appreciate it a lot!
Answer:
(−2, −3)
Step-by-step explanation:
Let's solve your system by substitution.
x−9y=25;6x−5y=3
Step: Solvex−9y=25for x:
x−9y=25
x−9y+9y=25+9y(Add 9y to both sides)
x=9y+25
Step: Substitute9y+25forxin6x−5y=3:
6x−5y=3
6(9y+25)−5y=3
49y+150=3(Simplify both sides of the equation)
49y+150+−150=3+−150(Add -150 to both sides)
49y=−147
49y
49
=
−147
49
(Divide both sides by 49)
y=−3
Step: Substitute−3foryinx=9y+25:
x=9y+25
x=(9)(−3)+25
x=−2(Simplify both sides of the equation)
Therefore answer:
x=−2 and y=−3 which is (-2, -3)
Hope it helps!
A list of all possible outcomes of an experiment is called:.
Answer:
sample space
Step-by-step explanation:
If eight pencils cost 5.20 what is the unit price of pencils
8 divided by 5.2
that’s all it takes
Answer:
0.65
Step-by-step explanation:
Since we have given that
Cost of 8 pencils = 5.20
We need to find the cost of 1 pencil.
For this we'll use the unitary method,
5.20 divided by 8 = 0.65
Solve for x
2x-3x(3+2)=10
Answer:
Step-by-step explanation:
2x - 3x(3+2) = 10
Distribute the -3x to the numbers inside the parenthesis:
2x - 9x -6 = 10
Simplify:
-7x = 16
Isolated the x:
x = 16/-7
270 students went on a field trip. 6 buses were each filled with s students. How many students were on each bus?
Answer:
45
Step-by-step explanation:
(-2,3)
find tan cos sin
[tex]\huge \underline\frak \red{Answer}[/tex]
Given thing are
cos Θ = 2/3
we know that Cos Θ = Adjacent Side / Hypotenuse, so we get
Adjacent Side = 2
Hypotenuse = 3
Hypotenuse : BC = 3
Adjacent Side : AB = 2 (Adjacent to ∠ Θ)
Opposite Side : AC = ? (Opposite to ∠ Θ)
To find the Opposite Side - AC , we use Pythagoras theorem ((Hypotenuse)2 = (Leg 1)² + (Leg 2)²)
AC = √ BC² - AB²
AC = √ 32 - 22
AC = √ 9 - 4
AC = √5
Now we will try to simplify square root of 5. As no pairs can be made the final value will be
__
AC = √ 5
So Sin, Cos and Tan will be as follows -
Sin Θ = Opposite Side / Hypotenuse
__
Sin Θ = √5/3
Tan Θ = Opposite Side / Adjacent Side
__
Tan Θ = √5/2
Cos Θ = Adjacent Side / Hypotenuse
Cos Θ = 2/3
A sporting goods store sells square exercise mats that are 17 m on a side. Find the perimeter and area of the mat.
Answer:
Permeter= 68m
Area= 289m^2
Step-by-step explanation:
Perimeter = 17^4 = 68m cause perimeter is the total length and square has 4 sides
Area= 17 ^17= 289m^2
Area of square is to multiply length x length
The perimeter and area of the mat will be 68 meters and 289 square meters.
What is the area and perimeter of the square?All the sides of a square are congruent. Let a be the side length of the square. Then the area of the square is the square of the side length of the square.
The area of the square will be
A = a² square units
The sum of all the sides of the square will be known as the perimeter of the square.
The perimeter of the square will be
P = 4a units
A sporting goods store sells square exercise mats that are 17 m on a side.
The area of the square will be
A = 17²
A = 289 square meters
The perimeter of the square will be
P = 4 x 17
P = 68 meters
The perimeter and area of the mat will be 68 meters and 289 square meters.
More about the area and perimeter of the square link is given below.
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