The two ratios represent proportional quantities is A: 22/3 and 14/21 = 1/3
When do two ratios form a proportion?Two ratios form a proportion if the simplified form of both ratios comes out as the same ratio. Suppose that we've got two quantities with measurements as 'a' and 'b' Then, their ratio(ratio of a to b) a:b
We usually cancel out the common factors from both the numerator and the denominator of the fraction we obtained. Remember that the ratio should always be taken of quantities with the same unit of measurement. Also, the ratio is a unitless(no units) quantity.
A.) 22/33 and 14/21
Here. the two ratios represent quantities that are proportional to 1/3.
B.) 48/60 and 35/42
Here. the two ratios represent quantities that are not proportional.
C.) 25/28 and 5/7
Here. the two ratios represent quantities that are not proportional.
D.) 16/13 and 13/16
Here. the two ratios represent quantities that are not proportional.
Hence, The two ratios represent proportional quantities is A: 22/3 and 14/21 = 1/3
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Peter draws lines r and s as two distinct parallel lines. Select each statement that is true about lines r and s. Lines r and s have exactly one point in common. Lines r and s form at least one right angle. Lines r and s will never intersect. Lines r and s have no point in common.
=========================================================
Let's go through the answer choices one by one
A) This is false because parallel lines do not cross or intersect. They cannot have a point in common.B) This is false because lines need to cross in order to form a right angle. C) This is true. Parallel lines never intersect. They are the same distance away from one another at any point along either line. One example of parallel lines are the metal tracks in a railroad.D) This is true. Having a point in common means a point is on both lines at the same time, but parallel likes never cross. So they have no points in common.angle 2 and angle 4 are vertical angles prove angle 2 is congruent to angle 4
Answer:
use therome 2 and 3 and try it
Answer:
answer in picture
Step-by-step explanation:
to find the sum of 4 and -5.
Answer:
-1
Step-by-step explanation:
-5 + 4 = 1
The perimeter of a rectangle is 34 units. If the width
is 5 units, what is the area of the rectangle?
I need to know what the answer to this is in radical form √6⋅√11⋅√5
Answer:
√330
Step-by-step explanation:
The product of radicals is the radical of the product.
(√6)(√11)(√5) = √(6·11·5) = √330
__
This cannot be simplified, because there are no square factors.
John went on a bike ride to the store 4 miles away. If it took 3/10 of and hour to get there and 1/2 of an hour to get back, what was his average rate of speed for the entire trip
Answer:
10mph or 10 miles per hour
Step-by-step explanation:
From the question,
John ride 4 miles to the store and 4 miles back
Total distance travelled = 4 miles + 4 miles
= 8 miles
Total time travelled
Time to the store = 3/10 of an hour
Time back from the store = 1/2 of an hour
Total time travelled
= 3/10 + 1/2
= (3 × 2) +(10 × 1)/20
= 6 + 10/20
= 16/20
= 4/5
Total time travelled= 4/5 hour
His average rate of speed for the entire trip formula =
Speed = Total distance travelled (miles)/ Time (hour)
= 8/(4/5)hour
= 8 ÷ 4/5
= 8 × 5/4
= 40/4miles/ hour
= 10 miles/ hour
Therefore, his average rate of speed for the entire trip is 10 miles/hour
How’d do you simplify it?
Answer:
The answer is
[tex]8 \sqrt{3} \: {m}^{2} [/tex]Step-by-step explanation:
[tex] \sqrt{192 {m}^{4} } [/tex]First of all factor out the perfect square
From the question the perfect square is 64
We have
[tex] \sqrt{64 \times 3 {m}^{4} } [/tex]The root of a product is equal to the product of the roots of each factor
So we have
[tex] \sqrt{64 \times {3m}^{4} } = \sqrt{64} \times \sqrt{3} \times \sqrt{ {m}^{4} } \\ [/tex]Simplify
[tex] \sqrt{64} = 8 \\ \sqrt{ {m}^{4} } = {m}^{2} [/tex]So we have
[tex]8 \times \sqrt{3} \times {m}^{2} [/tex]We have the final answer as
[tex]8 \sqrt{3} \: {m}^{2} [/tex]Hope this helps you
ANSWER THIS FAST PLZ
Answer:
the last one
Step-by-step explanation:
yes, because its graph is a line that passes through the origin.
For A, it's true but in a proportional relationship, the coefficient of x can be negative
B and C are obviously wrong
*PLEASE ANSWER, NEED HELP* Which of the following is not a type of probability model? a.) A systematic list b.) An area model c.) A spinner d.) A tree diagram
Answer:
a)systematic list
Step-by-step explanation:
hope it helps
URGENT
in two or more complete sentences, describe a system of equation in which subtraction would be the most efficient way of solving the system.
Answer:
a system of equations in which subtraction would be the most efficient way of solving the system is: A system of equations in which one of the variables has exactly the same coefficient in both equations. Solve the system by the elimination method. ... Solve the system by the elimination method.
PLSSSS HEP ITS URGENT!!
1+6=6x6/6
Answer:
7=6
Step-by-step explanation:
since it is times 1 plus 6 = 6 times 6 divided by 6
1+6=6x6/6
1+6 is 7
6 times 6 is 36 then 36 divided by 6 is 6
then you get 7=6
Write a recursive formula for the sequence.
11, 7, 3, -1, ...
Answer:-4
Step-by-step explanation:
11,7,3,-1,-5,......they have a difference of -4
11-4=7
7-4=3
3-4=-1
-1-4=-5
Recursive formula for the given sequence is [tex]a_{n}=a_{n-1}-4[/tex]
What is Recursive formula?A recursive formula is a formula that defines any term of a sequence in terms of its preceding term(s).
Consider
The first term [tex]a_{1} =11[/tex]
second term [tex]a_{2}=7[/tex]
Common difference = 7-11 = -4
Third term [tex]a_{3}=3[/tex]
Common difference = 3-7 =- 4
Fourth term [tex]a_{4}=-1[/tex]
Common difference = -1-3= -4
Then the formula for the sequence is [tex]a_{n}=a_{n-1}-4[/tex]
Hence, the Recursive formula for the give sequence is [tex]a_{n}=a_{n-1}-4[/tex]
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Toby is packaging 21 baseball cards and 12 football cards to sell at the swap meet. Each packet will have the same number of cards. Each packet will have the cards for only one sport. What is the greatest number of cards you can place each packet? How many packets would it be for each sport?
Answer: The greatest number of cards you can place each packet = 3
There would be 7 packets of baseball cards and 4 packets of football cards.
Step-by-step explanation:
Given: Number of baseball cards =21
Number of football cards = 12
Each packet will have the same number of cards.
Each packet will have the cards for only one sport.
Then, the greatest number of cards you can place each packet = GCD (21,12) i.e. greatest common divisor of 21 and 12
Since 21 = 3 x 7 and 12 = 2 x2 x3
so, GCD(21, 12)=3
So, the greatest number of cards you can place each packet = 3
Number packets of baseball cards = [tex]\dfrac{21}{3}=7[/tex]
Number packets of football cards = [tex]\dfrac{12}{3}=4[/tex]
So, there would be 7 packets of baseball cards and 4 packets of football cards.
Is 740 divisible by 10?
yes
no
Answer:
yes
Step-by-step explanation:
since it ends with a zero it is divisible by ten. If you take the 0 off of 740 then it would be 74 and 74x10=740
Hope this helps.
simplify this expression 10x-5y+2x-37
Answer:
12x-5y-37
Step-by-step explanation:
10x-5y+2x-37
10+2
12x-5y-37
3 1 8 5 7 2 1 6 find the mode
Answer:
1
Step-by-step explanation:
Mode is 1 as 1 has repeated the most number of times
Answer:
The mode is 1.
Step-by-step explanation:
The mode is 1 because that number occurs the most number of times.
Hope I helped!
I need help with this- I've never seen a graph like this- haha
Answer:
I think it's the third answer.
Step-by-step explanation:
The line is going through those points.
Let's find 1/8 + 1/2 . First, write the addition so the fractions have denominator . Then add.
Step-by-step explanation:
1/8+1/2make both denominators 8
in 1/2 multiply both the numerator and the denominator by 4to get 4/8
1/8 + 4/8=5/8
ASAP Please! Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem. A. 3 B. 5 C. 7 D. 9
Answer:
9
Step-by-step explanation:
First add 6 to Benjamin's age to make it 18, which is twice Lucas's age. Because it's twice as much, divide 18 by 2 to get 9.
Brett has consumed 1,400 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 2,000 calories per day. How many calories does he have left to consume for the day? Is 1,200 a viable solution to this problem?
Answer:
1000 calories
Step-by-step explanation:
2000-(1400-400)
Answer:
800
Step-by-step explanation:
2000−1200
=2000−1200
=2000+−1200
=800
What is the value of (–7 + 3i) – (2 – 6i)?
Answer:
9 (i - 1)
Step-by-step explanation:
Simplify the following:
-7 + 3 i - (-6 i + 2)
Hint: | Distribute -1 over 2 - 6 i.
-(2 - 6 i) = -2 + 6 i:
-2 + 6 i - 7 + 3 i
Hint: | Evaluate -2 + 6 i - 7 + 3 i.
-2 + 6 i - 7 + 3 i = (6 i + 3 i) + (-2 - 7) = -9 + 9 i:
9 i - 9
Hint: | Factor common terms from 9 i - 9.
Factor 9 out of 9 i - 9 giving 9 (i - 1):
Answer: 9 (i - 1)
(please helpppp!!)What are the questions for Module one DBA for algebra? (Flvs)
Answer:
you should try contacting your instructor if you dont have access to them,
Solve for xxx. Enter the solutions from least to greatest. 2x^(2)-2x-180 =0
Answer:
{-9, 10}
Step-by-step explanation:
The equation can be factored as ...
2x^2 -2x -180 = 0
x^2 -x -90 = 0 . . . . divide by 2
(x +9)(x -10) = 0
Solutions are the x-values that make the factors zero:
-9, 10
(QUICK RESPONSE!) Fiona enlarges a parallelogram that has a perimeter of 17 meters. What is the perimeter of the enlarged parallelogram?
A.30 meters
B.73.5 meters
C.102 meters
D.105 meters
it C.102 meters
Answer:
c.102 meters
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Which graph represents a reflection in the y-axis?
Please and thank you
Answer:
B
Step-by-step explanation:
A reflextion across the y axis is across the center line.
need help finding the area
Answer:
256inches
Step-by-step explanation:
8×16 + 8×16
128+128=256
Answer: 288 I think.
Step-by-step explanation: First you find the area of the first rectangle, then the second. You do this by splitting both rectangles and finding the area there. Add those up. Then you want to find you the area for the corners. Add that and there’s your answer.
(x - 5)2 = 25
Solution steps:
Add 5 to both sides
Multiply both sides by 5
Square both sides
Take the square root of both sides
Here is your answer
x = 17.5
Make as brainliest plzz....
Hope this answer is helpful....
six less than three times a number. write an algebraic expression to represent the given phrase
Answer: 3x-6
Step-by-step explanation:
Let the number be x
3 times the number is 3x
6 less than 3x is 3x-6
What is the solution to the equation One-third (x minus 2) = one-fifth (x + 4) + 2? x = 12 x = 14 x = 16 x = 26
Answer:
x = 26
Step-by-step explanation:
1 / 3 (x - 2) = 1 / 5 (x + 4) + 2
1/3x - 2/3 = 1/5x + 4/5 + 2
1/3x - 1/5x = 4/5 + 2/3 + 2
(5x - 3x)/15 = (12 + 10 + 30) / 15
2x / 15 = 52 / 15
2x = 52
x = 52 / 2
x = 26
Answer:
x=26
Step-by-step explanation:
Translate each sentence into a equation
Answer:
1. q + 4t = 29
2. n² + 12 = p /4
3. ( 1/2 j) -5 = k+12
4. 3b -100 = 6xb
5. g³ = 24 x (g+4)
Step-by-step explanation: Math language is very simple but needs to be learnt
of means x or mulitply
sum means +
is means =
a quotient of x and y = x/y which means division
times means to multiply ( x)
less means to subtract ' - '
x to the third power means x to the exponent 3 or x³