Which of the following is a correct proportion?
А. 2/3 = 4/9
B. 5/7 = 10/11
C. 4/6 = 8/12
D. 3/4 = 12/9

Answers

Answer 1

First, we'll solve A.

2 x2 = 4

3 x2 = 9

3x2=6, not 9.

So it is not A.

5 x2 = 10

7 x2 = 11

7x2=14, not 11.

So B. is out too.

It isn't D. because 12/9 is improper and 3/4 isn't.

So C. is left.

4 x2 = 8

6 x2 = 12

hope it helps!

Answer 2
Answer: Choice C4/6 = 8/12

===============================================

Explanation:

Let's go through the answer choices

-----------

Choice A.

Assume that the given equation here is correct. If so, then we can cross multiply to get

2/3 = 4/9

2*9 = 3*4

18 = 12

The last equation is false, so the first equation is also false. Choice A is not the answer.

-------------

Choice B.

We could do the similar trick as with choice A, but I'll use another method.

Use your calculator to find that

5/7 = 0.714 approx

10/11 = 0.909 approx

We get different decimal values for each fraction, so there's no way the two sides are the same. Choice B is crossed off the list.

-------------

Choice C.

I'll use another method here. Note how the denominators are 6 and 12, and how 6*2 = 12. If we multiply top and bottom of 4/6 by 2, then

(4/6)*(2/2) = (4*2)/(6*2) = 8/12

meaning that 4/6 = 8/12 is a true equation. We can see it through cross multiplication

4/6 = 8/12

4*12 = 6*8

48 = 48

or we could use our calculator to find that

4/6 = 0.667 approx

8/12 = 0.667 approx

Another calculator trick you can use is type in "4/6 - 8/12" without quotes and you should get 0 (or very close to it) as a result. This is using the idea that if x = y, then x-y = 0.

Choice C is the answer

----------------

Choice D.

Since we found the answer, we technically don't need to check choice D. But let's do so anyway.

Right off the bat, we know that 3/4 is less than one, while 12/9 is greater than one. So there's no way 3/4 = 12/9 could be true.


Related Questions

how do you solve 6(6+8)

Answers

Answer:

84

Step-by-step explanation:

Simplify the following:

6 (6 + 8)

6 + 8 = 14:

6×14

6×14 = 84:

Answer: 84

Answer:

Your correct answer is 84.

Step-by-step explanation:

6 (6+8) = (6)(14) = 84

Mary's car can go 24 miles on one gallon of gasoline. However , her gas mileage can vary by 2 miles per gallon depending on where she drives . Write an absolute value equation that you can use to find the minimum and maximum gas mileage.

Answers

Answer: | x -24 |=2

Step-by-step explanation:

Given: Mary's car can go 24 miles on one gallon of gasoline.

her gas mileage can vary by 2 miles per gallon depending on where she drives .

i.e. either 2 miles added or subtracted in the  gas mileage.

i.e. -2< Gas milegae -24 <2

⇒  | Gas milegae -24 |=2

Let x represents the gas mileage.

Then,  | x -24 |=2 is the required absolute value equation that you can use to find the minimum and maximum gas mileage.

1/2(6h – 4) = -5h + 1

Answers

H=3/8. That’s the answer.

Answer: h= 3/8

Step-by-step explanation:

1/2 (6h-4)=-5h+1

distribute

1/2*6h+1/2*-4=-5h-1

3h+-2=-5h+1

add 5h to both sides

8h-2=1

add two to both sides

8h=3

divide both sides by 8

h= 3/8

Could someone help me

Answers

Answer:

Hey there!

The second box weighs (3/4)(3.5), which is 2 and 5/8. Option B is correct.

Let me know if this helps :)

-2x - 2y -2z + 5z -2y - 4z

Answers

Answer:

-2x-4y-z

-(2x+4y+z)

Step-by-step explanation:

hope it is helpful for you

if it is please follow me

Step-by-step explanation:

[tex] - 2x - 2y - 2z + 5z - 2y - 4z[/tex]

Collect like terms

[tex]2x - 4y - 2z + 5z - 4z[/tex]

[tex] - 2x - 4y - z[/tex]

The answer is - 2x-4y-z

Please mark as brainliest

can yall help me please.... thanks :)

Answers

Jeez lol so harsh but still

Isabella puts 100 marbles in a jar and shook the jar. There are 4 colors of marbles. There are 25 of each color. What is the probability that Isabella will pick a marble out of the jar that is her favorite color?

Answers

Answer:

Step-by-step explanation:

It would be a 25% chance that she would get her favorite color

Answer:

Flipping a coin

Step-by-step explanation:

Mike spent half of his money on going to the movies. He washed the family car and earned 7 dollars. What is his weekly allowance is he ended with 18 dollars

Answers

Answer:

I think his weekly allowance would be $22.

Step-by-step explanation:

Because 18-7=11x2=22.

PLEASE HELP URGENT!!!!!! WILL GIVE BRAINLIEST!!!! MATH!!!!

Answers

What’s your question?

Solve and graph the inequality. −22<4x−2≤10

Answers

Step-by-step explanation:

-22 < 4x - 2 ≤ 10

-20 < 4x ≤ 12

-5 < x ≤ 3

1-3 Function Operations and Composition
Let f(x) = 4x - 7 and g(x) = 5 + 9x. What are f + g and f-g? What are their domains?
о А.
(f + g)(x) = 13x – 2; (f - 9)(x) = 5x + 12; domain of each is all real numbers except - 5
B. (f+g)(x) = 13x – 2; (1-9)(x) = -5x - 12; domain of each is all real numbers.
О С.
(f + g)(x) = 9x + 2: (8 - 9)(x) = 5x + 12; domain of f + g is all real numbers except
domain off-g is all real numbers except
O D. (+g)(x) = 9x + 2; (1-9)(x) = -5x - 12 domain off + g is all real numbers except - 5 domain of f- g is all real numbers except
1

Answers

Your answer would be C

PLZZZZ HELP ME!!!!! I WiLL MARK U AS BRAINLIEST

Answers

Answer:

Step-by-step explanation:

I would say you can distribute the money by saving $25 dollars for your medium and log term and $50 for your short term. Because you will eventually raise enough from your paycheck to get your laptop. Then, once you get your laptop you put more money to your other terms.

In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step 1: mZ8 = 60°, because m21+ m27 +m28 = 180º. Step 2:28 212, because 28 and 212 are corresponding angles. Step 3: So, mZ12 = 60° Use the drop-down menus to explain whether or not Stuart is correct.​

Answers

Answer:

180, same side interior, 120, incorrect

Step-by-step explanation:

Seeing that the other person failed to answer the question at all and made a worthless topic answer.  I went ahead and solved it.

So all you have to know that sets stuart wrong is that angle 12 is not 69 degrees. So the dropdowns as follows. Angle 1, 7 and 8 make one triangle and have equal degrees. So 180 equals a whole triangle. Angle 12 and 8 are on the same side and inside the triangle. (Remember 1,7,8? well divide 180 by 3 and u get angle 8 being 60. Same as angle 7. The interior trapezoid will be 60+60+120+120=360.) Angle 12= 120 thus Stuart is wrong.

The reasoning that may be used for finding the measure of m∠12, is the

same side interior angles theorem.

The correct options using the drop-down menu are;

The sum of ∠1, ∠7, and ∠8 is 180°∠8 and ∠12 are same side interior anglesThe measure of ∠12 must be = 120°Stuart is not correct

Reasons:

Given parameters;

Line x line y

m∠1 = 65°, m∠7 = 55°

m∠12 = 60°

Stuart states ∠12 = 60°

The reasoning is presented as follows;

Step 1: m∠8 = 60°, because m∠1 + m∠7 + m∠8 = 180°

Step 2: ∠8 ≅ ∠12, because ∠8 and ∠12 are corresponding angles

Step 3: So, m∠12 = 60°

Using the drop-down menu, we have;

The sum of ∠1, ∠7, and ∠8 is 180° (Sum of angles in the triangle)

∠8 and ∠12 are same side interior angles (by definition)

Same side interior angles are supplementary, therefore;

∠8 +∠12 = 180°

∠12 = 180°  - ∠8

Which gives;

The measure of ∠12 must be 180° - ∠8 = 180° - 60° = 120°

The measure of ∠12 must be = 120°

Stuart is not correct

Learn more about angles formed between parallel lines and a transversal here:

https://brainly.com/question/2633335

Which represents the solution set of the inequality 5x-9<21

Answers

Answer:

x < 6

Step-by-step explanation:

5x -9 < 21

then add 9 to both sides

5x< 30

divide by five

x<6

1/2 + 2/3 ÷ 1/6 PLEASE HELP ASAP ASAP!!!!!!!!

Answers

Answer:

4.5

Step-by-step explanation:

Step 1. Turn the second fraction (the one you want to divide by) upside down

(this is now a reciprocal).

Step 2. Multiply the first fraction by that reciprocal

Step 3. Simplify the fraction (if needed)

So, I'm giving 23 points! I need the area, just the number.

Answers

Answer:

21

Step-by-step explanation:

just the answer?

no explanation?

ok,

Answer: 21

a+ ab + b for a = 11, b = 8

Answers

Answer:

107

Step-by-step explanation:

Plug in 11 for a, and 8 for b.

a + ab + b

(11) + (11 * 8) + (8)

Remember to follow PEMDAS. First multiply, then combine terms:

11 + (11 * 8) + 8

11 + (88) + 8

99 + 8

107

107 is your answer.

~

What is the sum of 4.5 + 3.2 + (-7.5)

Answers

Answer:

0.2

Step-by-step explanation:

4.5 + 3.2 = 7.7

7.7 - 7.5 = 0.2

A statue at the park needs to be moved. Workers need to move it 7 yards north and 20
yards west. Which of the following represents the job they must do?
a) ( − 20, + 7)
b) ( + 7, + 20)
c) ( + 20, + 7)
d) ( − 7, − 20)

Answers

Answer:

the answer is a) (-20, +7)

Step-by-step explanation:

This because by moving the statue north, they are moving it up, and bye moving west they move it to the left. You can tell what is positive and negative by visualizing a graph. Going north is like moving up the y-axis, so you add 7 to the y coordinates. And moving it west would be like moving the statue towards the negative side of the x-axis, thus subtracting 20.  

A bag contains 39 colored marbles. There are 6 blue marbles, 14 red marbles, 8 yellow marbles, and 11 clear marbles. What is the ratio of blue to red marbles?

Answers

Answer:

3 to 7

Step-by-step explanation:

blue to red

6 to 14

Divide each side by 2

6/2 to 14/2

3 to 7

Answer:

The ratio would be 6:10 or 6/10 ( 3/5) or 0.6.  

Step-by-step explanation:

Why?  A ratio is comparing two numbers with a fraction, colon or decimal or percent.

Well there are 6 blue marbles out of the 35 colored marbles. And there are 10 clear marbles.

The question is asking for a blue/clear. It is easy to get confused and put clear/blue. So that is why 6:10 is the ratio.

Television sizes are described by the length of their diagonal measure. What would be the listed size of the TV shown? (to the nearest whole inch)
1,424
32
38
20

Answers

Answer:

38 inches

Step-by-step explanation:

since we are finding the diagonal we are going to use the equation a^2+b^2=c^2

so if we do substitution we would have 32^2+20^2=C^2

32^2= 1024

20^2= 400

so,

1024 + 400 = C^2

1424 = C^2

to get rid of the C^2 we have to take the square root of it. But whatever we do on one side of the equation we have to do on the other side so,

C = sqrt(1424)

C = 37.73

C = 38 inches

-13 is classified as?Select all that apply * Natural Number Whole Number Integer Rational Numbe

Answers

Answer:

Integer and Rational number.

3x-2 is less than or equal to -20

Answers

Answer:

x [tex]\leq[/tex] -6

Step-by-step explanation:

3x - 2 [tex]\leq[/tex] -20

Solve for x:

3x [tex]\leq[/tex] -18

x [tex]\leq[/tex] -6

The answer is -6 which means it is less than

help please thank you.

Answers

Answer:

44

Step-by-step explanation:

Plug in the values for x, y, and z.

this makes the equation 5(8)+12/3

multiply 5x8 and get 40

divide 12/3 and get 4

add 40+4 to get 44

Answer:

The answer is 44

Step-by-step explanation:

[tex]5y + \frac{x}{z} [/tex]

From the question

x = 12 , y = 8 and z = 3

Substitute the values into the above expression

That's

[tex]5(8) + \frac{12}{3} [/tex]

[tex] \frac{12}{3} = 4[/tex]

So we have

[tex]5(8) + 4 \\ 40 + 4[/tex]

We have the final answer as

44

Hope this helps you

a rectangular picture has a length of 9 1/2 feet and width of 7 7/8 feet. How will you determine how much border is needed.
a. add 9 1/2 and 7 7/8
b. multiply 9 1/2 and 7 7/8
c. estimate with length 9 feet and width 7 feet
d.estimate with length 10 feet and length 8 feet

Answers

Answer:

c) part

Step-by-step explanation:

M is the midpoint of AB. If A (0,4) and M (2,5) find the coordinates of B

Answers

Answer:

(4,6)

Step-by-step explanation:

1. Midpoint formula:

[tex](x_m,y_m)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]

2. Find [tex]x_2[/tex]:

[tex]x_m=\frac{x_1+x_2}{2}[/tex] [tex]2=\frac{0+x_2}{2}[/tex] [tex]x_2=4[/tex]

3. Find [tex]y_2[/tex]:

[tex]y_m=\frac{y_1+y_2}{2}[/tex] [tex]5=\frac{4+y_2}{2}[/tex] [tex]y_2=6[/tex]  

4. Coordinates of B:

[tex](x_2, y_2)=(4,6)[/tex]

3 times an unknown number is 21. Find the unknown number. The unknow number is

Answers

Answer:

The answer is 7

Step-by-step explanation:

Because 7 times 3 will give you 21, just divide 21 by 3.

Answer:

The answer is 7

Step-by-step explanation:

7+7+7=21

3×7=21

in the following figure, how many planes are shown​

Answers

Answer:

5 planes

Step-by-step explanation:

A plane is a surface joining three points.

Planes are the flat two dimensional surfaces which extends infinitely far.

From the figure attached planes are,

ABC, DEF, ABE, BCD, ACD

Therefore, there are five planes shown in the given picture attached.

Serena wants to create snack bags for a trip she is going on. She has 6 granola bars and 10 pieces of dried fruit. If the snack bags should be identified without any food leftover, what is the greatest number of snack bags Serena can make?

Answers

Answer:

2

Step-by-step explanation:

Given the question :

Serena wants to create snack bags for a trip she is going on. She has 6 granola bars and 10 pieces of dried fruit. If the snack bags should be identified without any food leftover, what is the greatest number of snack bags Serena can make?

Number of granolas = 6

Number of dried fruits = 10

Since the snackbag is to be designed in such a way that there should be no food leftover, the greatest number of snack bags Serena can make could be obtained by getting the highest common factor of (6 and 10)

____6____10

2___3____5

Here, the highest common factor of 6 and 10 is 2

Hence, the greatest number of snack bags she can make is 2.

11. A bottle of shampoo cost $7. You have $16 and a coupon for a
$5 discount at Walmart. How many bottles of shampoo can
you buy?
I

Answers

Answer:

3 bottles

Step-by-step explanation:

you equation is 7x-5=16

you add 5 to both sides which gets you 7x=21

then you divide 7 by both sides that gets you x=3

Other Questions
Jack's bank statement shows an account balance of $25 50 Which descubes the magnitude or size of the debt in dollars? $50 50 $25 50 SO 0-$25 50 Almaden Hardware Store sells two product categories, tools and paint products. Information pertaining to its 2021 year-end inventory is as follows:Inventory,by Product Category Quantity Per Unit Cost Net Realizable ValueTools: Hammers 120 $5.50 $6.00 Saws 250 10.50 9.50 Screwdrivers 350 2.50 3.10 Paint products: 1-gallon cans 550 6.50 5.50 Paint brushes 120 4.50 5.00 Required:1. Determine the carrying value of inventory at year-end, assuming the lower of cost or net realizable value (LCNRV) rule is applied to (a) individual products, (b) product categories, and (c) total inventory.2. Assuming inventory write-downs are common for Almaden, record any necessary year-end adjustment amount for each of the LCNRV applications in requirement 1. The scale of a map is 1cm : 70km. What is the actual distance between two towns that are 3cm apart on the map Solve this system of equations and enter an ordered pair (x,y). y = x + 3 y = -x - 5 1500 meters in 6 seconds as a unit rate Alkaptonuria is an infrequent autosomal recessive condition. It is first noticed in newborns when the urine in their diapers turns black upon exposure to air. The condition is caused by the defective transport of the amino acid phenylalanine through the intestinal walls during digestion. About 4 people per 1000 are carriers of alkaptonuria. Sara and James had never heard of alkaptonuria and were shocked to discover that their first child had the condition. Sara's sister Mary and her husband Frank are planning to have a family and are concerned about the possibility of alkaptonuria in one of their children.The four adults (Sara, James, Mary, and Frank) seek information from a neighbor who is a retired physician.After discussing their family histories, the neighbor says, " I never took genetics, but I know from my many years in practice that Sara and James are both carriers of this recessive condition. Since their first child had the condition, there is a very low chance that the next child will also have it, because the odds of having two children with a recessive condition are very low. Mary and Frank have no chance of having a child with alkaptonuria because Frank has no family history of the condition."The two couples each have babies and both babies have alkaptonuria.Required:a. What is the probability that the second child of Mary and Frank will have alkaptonuria?b. What is the chance that the third child of Sara and James will be free of the condition?c.The couples are worried that one of their grandchildren will inherit alkaptonuria.d. What is the chance that a child with alkaptonuria will have an offspring with alkaptonuria if the child's mate has no family history?e.The couples are worried that one of their grandchildren will inherit alkaptonuria.f. What is the chance that a child with alkaptonuria will have an offspring with alkaptonuria if the child's mate has no family history? Which of the following graphs show a proportional relationship?Choose all answers that apply: The surface area of the side of a right cylinder can be found by multiplying twice the number by the radius times the height. If a circular cylinder has radius r and height h, write an expression that represents the surface area of its side. Which has more kinds of specialized cells, a tissue or an organ? How does Bradford's diction (choice of words)reveal his own thoughts and feelings about theevents or the individuals described in theexcerpt? Cite one example from the text andexplain how this reflects Bradford's point of view. Stefan has 4 1/2 cups of oats. He uses 3 1/4 cups to make granola bars for a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed Coco with the oats he has left? x+4.9=7.28 x= what is the answer passes through (-4, 11) and (2,8) Change 53/5 from an improper fraction to a mixed number. Look at the pattern below.6, 12, 18, 24, 30, 36What characteristics of this pattern are true? All the numbers have 4 as a factor. All the numbers are composite. All the numbers are a multiple of 3. All the numbers are divisible by 2. Which statement is true? Lipids are a type of fat. Fats are a type of lipid. Fats and lipids are unrelated. All lipids are fats, and all fats are lipids. twenty four students in Jamal's class are wearing tennis shoes there are 30 students in his class, jamal says that 70% of his class is wearing tennis shoes, is this correct? yes or no 0.3(10-5x)=31.5(8x+9) I really need help before 11:50The Influence of the Enlightenment and the Great AwakeningDuring the 1700s, ideas based on the Enlightenment circulatedamong well-educated American colonists. The Enlightenment was aEuropean intellectual movement. Enlightenment philosophersbelieved that all problems could be solved by human reason.Frenchman Baron de Montesquieu and Englishman John Lockewere two thinkers who applied reason to government and politics.Enlightenment philosophy affected religious beliefs in the colonies.Colonists who admired these ideas wanted a religion that was lessemotional and more rational. At the same time, attendance at churchservices was in decline.During the 1740s, concern about these trends led to a religiousmovement called the Great Awakening.Explain how the philosophies of the enlightenment affected American colonists i need seven please help