Answers
From the question given above, the ratio of L : W in simplified form is given as: 6 : 5. See the explanation below.
What is a ratio?A ratio, simply, can be defined as the quantitative relationship that exists between two values which is indicative of the number of times one value can be obtained from the other.
What is the explanation for the solution above?Step 1 - Indicate your assumptionsLet X be the width of one of the rectangles and let its height be Y.
It is clear from the image that:
4X = 3Y
Hence
(4/3)X = Y
Therefore,
Lenght (L) = 3Y
= 3 (4/3)X
= 4X
Width (W) = Y + 2X
= (4/3)X + 2X
= (10/3)X
Therefore,
L : W = 4X: 10/3X
= 4:10/3
To remove the fraction, multiply both sides of the ratio by 3
= 12 : 10, furhter simplify by halving each value, and we have
= 6:5
Hence, the ratio L: W in simplified form is 6 : 5.
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Related Questions
Translate the given phrase into an algebraic expression and simplify if possible: the quotient of 12 and the product of 3 and 4.
Note: Enter only the simplified result.
Answers
Answer: 1
Step-by-step explanation:
First, we will translate this into an algebraic expression.
-> Quotient means we will be using divison
-> Product means we will be using multiplciation
the quotient of 12 and the product of 3 and 4
[tex]\displaystyle \frac{12}{\text{the product of 3 and 4}}[/tex]
[tex]\displaystyle \frac{12}{3*4}[/tex]
Now, I will simplify.
Given:
[tex]\displaystyle \frac{12}{3*4}[/tex]
Multiply:
[tex]\displaystyle \frac{12}{12}[/tex]
Divide:
1
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2x-3y=7
-3x +7y = - 8
4x-3y = 9
2x + 3y = 9
SOLVE BOTH EQUATIONS??
Answers
Answer:
(5, 1 ) and (3, 1 )
Step-by-step explanation:
2x - 3y = 7 → (1)
- 3x + 7y = - 8 → (2)
multiplying (1) by 3 and (2) by 2 and adding will eliminate x
6x - 9y = 21 → (3)
- 6x + 14y = - 16 → (4)
add (3) and (4) term by term to eliminate x
0 + 5y = 5
5y = 5 ( divide both sides by 5 )
y = 1
substitute y = 1 into either of the 2 equations and solve for x
substituting into (1)
2x - 3(1) = 7
2x - 3 = 7 ( add 3 to both sides )
2x = 10 ( divide both sides by 2 )
x = 5
solution is (5, 1 )
------------------------------------------------------------
4x - 3y = 9 → (1)
2x + 3y = 9 → (2)
adding the 2 equations term by term will eliminate y
6x + 0 = 18
6x = 18 ( divide both sides by 6 )
x = 3
substitute x = 3 into either of the 2 equations and solve for y
substituting into (2)
2(3) + 3y = 9
6 + 3y = 9 ( subtract 6 from both sides )
3y = 3 ( divide both sides by 3 )
y = 1
solution is (3, 1 )
Leslie set up a fruit stand to sell some of her crop of oranges. The first person who came by bought 1/3 of her oranges. The second person bought 4 oranges. The thrid person bought 1/4 of the REMAINING oranges. Leslie took the last 15 oranges home to make orange juice. How many oranges did Leslie have at the beginning?
Answers
Answer:
36
Step-by-step explanation:
Let's say Leslie starts with x oranges.
The first person buys 1/3 of the oranges, leaving behind 2/3 x.
The second person buys 4 oranges, leaving behind 2/3 x − 4.
The third person buys 1/4 of the remaining oranges, leaving behind:
3/4 (2/3 x − 4)
This amount equals 15. Solving for x:
15 = 3/4 (2/3 x − 4)
20 = 2/3 x − 4
24 = 2/3 x
36 = x
Please help I will mark Brainly
Answers
Help :') ................................
Answers
Answer:
1. 90
2. 120
3. 30
4. 60
Step-by-step explanation:
Hope it helps
Find the area of the circle. A circle has a diameters of 17 centimeters. Pi value is 3.142
Answers
Answer:
Area of the circle = 227.0095 cm^2
Step-by-step explanation:
Given:
Diameter (D) = 17 cmπ = 3.142To Find:
Area of the circle
Soln:
We know that,
Area of the circle: πr²
where:
π = 3.142r = radiusBut we don't know the radius,as the diameter is given.We could use the formula of diameter & plug the value of it do find the radius.
We know that,[tex] \rm \: Diameter = 2(r)[/tex]
Where
r = radiusSubstitute the value of Diameter:
Diameter = 2r
17 = 2r
17/2 = r
8.5 = r
r = 8.5
Now we got the radius, so substitute radius onto the formulae:
Area of the circle = πr²Ar(circle) = π(8.5)²Ar(circle) = 72.25π(Answer in terms of π)Ar(circle) = 72.25 * 3.142Ar(circle) = 227.0095 cm^2[tex]\text{Area of circle} = \pi\cdot \text{Radius}^2\\\\\\~~~~~~~~~~~~~~~~~~=\pi~ \left( \dfrac{\text{Diameter}}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=3.142 \left(\dfrac{ 17}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=227.0095~ \text{cm}^2[/tex]
Are 100 10 and 5 1 equivalent rates ? Pls answer quick
Answers
Answer:
No
Step-by-step explanation:
I don't think so
Reliable food sources and the ability to settle in one place contributed to what?
A. The Architectural Revolution.
B. Equal distribution of resources to all.
C. The beginning of hunter-gatherer societies.
D. Growth of the world's population.
Answers
Answer: A: sorry if I'm wrong but that's what I was told
Step-by-step explanation:
WHAT ARE THE ANSWERS TO 1,2,3,4 SOMEONE PLEASE HELP ME!!!!
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The correct option for 1,2,3, and 4 are C,B,A, and C, respectively.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
A.) The Set which represents the integers is in the third option.
{.....,-3,-2,-1,0,1,2,3......}
B.) The property that is shown is option B, the cumulative property of multiplication.
C. The expression can be rewritten as,
4(x+5)-3(x+2) = 14
4x + 20 - 3x - 6 = 14
Thus, the correct option is the first option.
D.) The simplification of the expression (x⁵y²z)/(x³y⁶) can be done as,
(x⁵y²z)/(x³y⁶) = (x²z)/(y⁴)
Thus, the correct option is C.
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SOMEONE PLEASE HELP IVE BEEN WAITING FOREVER
Answers
Answer:
Only option A. cannot be simplified; is in its simplest form.
Step-by-step explanation:
In order for A. to have a simplified form, it must have a specified degree or leading term, which it does not have, making it impossible to simplify.
PLEASE HELLPPPP Ms. Rudolph randomly selects one student from a group of students.
are wearing a black shirt, 6 students are wearing a red shirt, and 9 students are
wearing a blue shirt.
Show your work to determine the PROBABILITY that the selected student is
wearing a BLACK shirt?
You may write your answer as a FRACTION or DECIMAL.
Answers
Using it's concept, it is found that the probability that the selected student is wearing a black shirt is given by:
[tex]p = \frac{n}{n + 15}[/tex]
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, we have that out of n + 6 + 9 = n + 15 students, n are wearing black shirts, hence the probability is given by:
[tex]p = \frac{n}{n + 15}[/tex]
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EASY POINTS Which of the following is best defined as segments that intersect at a right
angle?
A. Intersecting segments
B. Perpendicular segments
C. Parallel segments
D. Coplanar segments
Answers
Answer:
I would say B.
Step-by-step explanation:
Perpendicular lines meet at a right angle.
Answer: B
Step-by-step explanation:
Harper surveyed 800 of the students in her school about their favorite color. 424
students said their favorite color was blue. What percentage of the surveyed students
said their favorite color was blue?
Answers
Using it's concept, it is found that the percentage of students surveyed that said their favorite color was blue was of 53%.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, 424 out of the 800 students surveyed said their favorite color was blue, hence the percentage is given by:
[tex]P = \frac{424}{800} \times 100\% = 53\%[/tex]
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8 is added to the quotient of 36 divided by 4
Answers
Answer: (36/4)+8
Step-by-step explanation: brainliest?
Answer:
36/4 +8 = 17
Step-by-step explanation:
thanks and brainliest
Which statements can be used to accurately compare the functions? Select two options. [ g(x) has the lowest minimum. f(x) has the greatest maximum. All three functions have a y-intercept. All three functions have an x-intercept. 2 The domain of all three functions is the same.
Answers
The statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
From the graph, we can see all the functions have y-intercept:
At x = 0
f(0) = 1
g(0) = -1/2
h(0) = -5
The f(x) has the greatest maximum, which is 10
Thus, the statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.
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Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?
82°
92°
102°
112°
Answers
Answer:
102 deg
Step-by-step explanation:
The sum of the interior angles of a n-gon
are equal to ( n-2)*180
for a pentagon ( 5-2)(180) = 540
88+118+132+100 + x = 540 x= 102 deg
Answer:
C. 102 is correct
Step-by-step explanation:
just took test
A graph titled Calories in Strawberries. The x-axis shows the number of strawberries, numbered 1 to 9, and the y-axis shows the number of calories, numbered 3 to 27. A straight line with a positive slope begins at point (0, 0) and ends at point (6.8, 27).
The graph shows the relationship between the number of strawberries eaten and the approximate number of calories consumed. Which statement is true?
Each strawberry contains 4 calories.
Each strawberry contains 3 calories.
Twenty-four strawberries contain 6 calories.
Four strawberries contain 15 calories.
Answers
From the equation y = 4x, each strawberry contains 4 calories.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let y represent the number of calories in x strawberries. Hence:
y - 0 = [(27 - 0)/(6.8 - 0)](x - 0)
y = 4x
From the equation y = 4x, each strawberry contains 4 calories.
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Answer:
a
Step-by-step explanation:
What is the volume of the solid
Answers
Answer:
A.264
Step-by-step explanation:
((Area Of triangle*height)=Volume
Area of triangle is the base of the triangle multiplied by height of triangle divided by 2
((8*6)/2)*11=264
What is the volume of a gift box with a length of
12 inches, a width of 5 inches, and a height of
3 inches?
Answers
Answer:
180 inches
Step-by-step explanation:
The volume of a rectangular prism is length x width x height. So you would do (12)x(5)x(3) which would get you 180 inches.
Luke was asked to find the median of the following numbers:
16, 24, 12, 7, 30, 11, 22
The work below shows the steps he used.
The numbers 7, 11, 24, and 30 are crossed out. StartFraction 16 + 22 Over 2 EndFraction = StartFraction 38 Over 2 EndFraction = 19.
What error did Luke make?
He forgot to put the numbers in order first.
He crossed off the low and high pairs incorrectly.
He left out a number when putting the numbers in order.
He did not make an error.
Answers
The mistake made by Luke is that he forgot to arrange the numbers in order first before finding the median.
How to find the median of a data?The median is the middle number of a distribution when arrange in ascending or descending order.
7, 11, 12,16, 22, 24, 30
The number has been arrange from the smallest to the largest.
Therefore, the median can be calculated as follows:
median = 16
Therefore, Luke forgot to put the numbers in order first.
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Answer: (C)
100% Correct Answer! Pls, give me brainliest. Thank You!
answer this, will give brainlist
Answers
Answer:
(-3, -10)
Step-by-step explanation:
We are asked to solve the system of equations simultaneously.
We need to equate the equations.
=============================================================
Solving :
⇒ -4 + 2x = 4x + 2
⇒ 4x - 2x = -4 - 2
⇒ 2x = -6
⇒ x = -3
============================================================
Finding y :
⇒ y = 4(-3) + 2
⇒ y = -12 + 2
⇒ y = -10
============================================================
Hence, the solution :
(-3, -10)
We have to solve them graphically as per question
y=-4+2xSome points has already been found
y=4x+2Graph attached
Solution is
(-3,-10)MEAN, MEDIAN AND MODE OF GROUPED DATA
Answers
See the attached files!!!!
Translate (10,8) down 5
Answers
Answer:
A (10,3)
Step-by-step explanation:
You purchase a new car today.the value of that car depreciates based on the function f(t)=12,000(0.96)^t, where t is measured in years after purchase. How much is the car worth after 3/2 years, rounded to the nearest dollar
Answers
Considering the definition of exponential function, the value of the car is 11,287.25 dollars.
What is exponential functionAn exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:
f(x)= aˣ
Being a a positive real, a > 0, and different from 1, a ≠ 1.
When 0 < a < 1, then the exponential function is a decreasing function and when a > 1, it is an increasing function.
What is the price of the carIn this case, the value of that car depreciates based on the function f(t)=12,000×[tex]0.96^{t}[/tex] where t is measured in years after purchase.
After 3/2 years, the value of the car is calculated as:
f(3/2)=12,000×[tex]0.96^{3/2}[/tex]
Solving:
f(3/2)= 11,287.25
Finally, the value of the car is 11,287.25 dollars.
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(07.03 MC)
What is the solution to the following equation? (1 point)
4(3x − 11) + 23 = 5x − 14
0
1
10
14
Answers
Answer:
1
Step-by-step explanation:
[tex]~~~~~~4(3x-11) +23 = 5x -14\\\\\implies 12x -44 + 23 -5x +14 = 0\\\\\implies 7x-7=0\\\\\implies 7x = 7\\\\\implies x = \dfrac 77 \\\\\implies x = 1[/tex]
Answer:x=1
Step-by-step explanation: did the test
y= x^2-4x+3 in vertex form
Answers
Answer:
[tex]y=(x-2)^2-1[/tex]
Step-by-step explanation:
Complete the square
[tex]y=x^2-4x+3\\\\y+1=x^2-4x+3+1\\\\y+1=x^2-4x+4\\\\y+1=(x-2)^2\\\\y=(x-2)^2-1[/tex]
A group of 5 friends each have x action figures in their collections. Each friend buys 6 more action figures. Now the 5 friends have a total of 150 action figures. How many action figures did each friend start with?
Answers
Answer:
29
Step-by-step explanation:
The problem is 5x + 6 = 150
I subtract 6 from each sides except the one with the variable.
6 - 6 = 0 and 150 - 6 = 144.
Then I bring 5x down.
Then I divided 5x with 5 and 144 with 5.
I got 28.8 for x, which means the friends had 28.8 action figures each.
And I don't think it would be possible for them to have 28.8 action figures, so you round to a whole number which would give you the answer 29.
I think I that makes sense.
Point T is on line segment S U ‾ SU . Given S T = 6 ST=6 and T U = 10 , TU=10, determine the length S U ‾ . SU
Answers
If Point T is on the line segment S U, then ST + TU = SU, Hence the length of SU is 16.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
If Point T is on the line segment S U, then ST + TU = SU
Given;
S T = 6 and T U = 10
Substitute
SU = ST + TU
SU = 6 + 10
SU = 16
Hence the length of SU is 16.
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what is the surface area of this? giving out 30 pts
Answers
I can’t figure this out…going on 4 hours now
Answers
Answer:2: 95/215, 3: 95/580, 4: 210/330 5: 365/580
Step-by-step explanation:probability=outcome in question/the total number in the given category