what ratio is the same as 2/3?
a ) 8 / 12
b) 6 / 12
c) 9 / 12
d) 10 / 12

Answer:

See below

Step-by-step explanation:

Given the above information, we can make the first part to be;

First part = y + 10

Then,

Second part = y

y + 10 : y = 5 : 3

(y + 10) / y = (5) / (3)

Cross multiply,

3y + 30 = 5y

Collect like terms

5y - 3y = 30

2y = 30

y = 15

Therefore, substituting the value of y,

First part = y + 10

First part = 15 + 10

First part = 25

Second part = y

Second part = 15

Number = First part + Second part

Number = 25 + 15

Number = 40

Answer:

n + 23 = 42

Step-by-step explanation:

Well, let's see.

Let's name the number "n".

So, n + 23 = 42.

And there's your answer.

Hope this helped! :)

Answer:

y + 23 = 42

y = 19

Step-by-step explanation:

y + 23 = 42

Subtract 23 from both sides:

y + 23 - 23 = 42 - 23

y = 19

Option (A) 1 foot by 2 feet and option (C)  2 feet by 1 foot satisfy the perimeter given. Thus options A and C are correct.

"A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees. The two sides at each corner or vertex, meet at right angles".

For the above situation,

The length of the rectangle be 'l'

The breadth of the rectangle be 'b'

Perimeter of the rectangle, P = 2(l+b)

Option A : 1 foot by 2 feet

Here, l = 1 feet and b = 2 feet

⇒ [tex]P=2(l+b)[/tex]

⇒ [tex]P=2(1+2)\\[/tex]

⇒ [tex]P=6[/tex]

This perimeter is equal to the perimeter of the rectangle. Thus option A is correct.

Option B : 1 foot by 5 feet

Here, l = 1 and b = 5 feet

⇒ [tex]P=2(1+5)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option B is not correct.

Option C :  2 feet by 1 foot

Here, l = 2 and b = 1 feet

⇒ [tex]P=2(2+1)[/tex]

⇒ [tex]P=6[/tex]

This perimeter is equal to the perimeter of the rectangle. Thus option C is correct.

Option D : 2 feet by 4 foot

Here, l = 2 and b = 4 feet

⇒ [tex]P=2(2+4)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option D is not correct.

Option E :  3 feet by 3 feet

Here, l = 3 and b = 3 feet

⇒ [tex]P=2(3+3)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option E is not correct.

Option F : 4 feet by 2 feet

Here, l = 4 and b = 2 feet

⇒ [tex]P=2(4+2)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option F is not correct.

Option G : 5 feet by 1 foot

Here, l = 5 and b = 1 feet

⇒ [tex]P=2(5+1)[/tex]

⇒ [tex]P=12[/tex]

This perimeter is not equal to the perimeter of the rectangle. Thus option G is not correct.

Hence we can conclude that option (A) 1 foot by 2 feet and option (C)  2 feet by 1 foot satisfies the perimeter given. Thus options A and C are correct.

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Answer:

B. Angles that add up to 180°

Step-by-step explanation:

I think that's the answer because supplementary angles add up to 180°

Answer:

New Rural Urban distribution = 56.4 , 43.4

Step-by-step explanation:

Let the total population be = 100

The rural urban distribution = 55.4% & 44.6% of 100 = 55.4 & 44.6 respectively

Given , 15% of rural population shifts to urban. So, 15% of 55.4 ie = 8.31 shift from rural to urban.

Also, 21% of urban population shifts to rural. So, 21% of 44.6 , ie = 9.36 shift from urban to rural.

So, New rural population = old rural - rural to urban shift + urban to rural shift  = 55.4 - 8.31 + 9.36 = 56.39 ≈ 56.4

New urban population = old urban - urban to rural shift + rural to urban shift = 44.6 - 9.36 + 8.31 = 43.55 ≈ 43.4

So, the new distribution is =  56.4 , 43.4

Answer:

Start at the origin and go to the left by one and go down by 4

Step-by-step explanation:

The x coordinate relates to the horizontal axis and the y axis refers to the vertical axis.

Before we start graphing we must always begin at the origin (0,0)

Since the x value is -1 we have to move left by 1 on the x axis

We would move to the left one value because negative is on the left side

For the y value, we would have to move 4 down on the y axis because this number is also negative.

So your graph should look like this

Hope this helps :)

Answer:

the answer is 33.4 because 33.4 x 2 is 66.8 and you add 1.2 + 1.2 that is 2.4. you add both and you get 69.2. Th answer is 33.4

Step-by-step explanation:

33.4 x 2 (1.2 x 2) + 69.2

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Answer:

a = 33.4

Step-by-step explanation:

The short sides are both 1.2. You have to take them into account.

P = 2L + 2W

L is arbitrarily chosen to be the long side. The short side is W.

Givens

P = 69.2

L = a

W = 1.2

Solution

69.2 = 2 * 1.2 + 2a

69.2 = 2.4 + 2a

69.2 - 2.4 = 2a

66.8 = 2a                    

66.8/2 = a

a = 33.4

Step-by-step explanation:

4 is the common difference

Answer:

I believe you would write the answer is 7 * x is less than 94 (use actual less than symbol for answer).

Step-by-step explanation:

"The sum of negative two and nine" is saying -2 + 9.

"times a number" is saying the answer of -2 + 9 is multiplied by a number, or x.

"is less than ninety four."​ is saying that -2 + 9 * x is less than (use symbol) 94.

So the equation looks like this:

-2 + 9 * x is less than 94.

Now you can simplify the equation:

-2 + 9 = 7

7 * x is less than(use actual less than symbol) 94.

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Answer:

adults = 52

children = 108

Step-by-step explanation:

two equations can be derived from the question

x + y = 160 equation 1

2x + 5y = 476   equation 2

x = number of children

y = number of adults

multiply equation 1 by 2

2x + 2y = 320  equation 3

subtract equation 1 from 2

3y = 156

y =52

substitute for y in equation 1

x + 52 = 108

x = 160 - 52 = 108

Answer:

26.4 (srr if incorrect)

Step-by-step explanation:

Answer: C (15/56)

Step-by-step explanation:

probability of red card: 5/8

probability of blue card (after): 3/7

5/8 times 3/7 = 15/56 so C

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Answer:

-5x - 5

Step-by-step explanation:

distribute both -4 and -1/2

it should look like this...

-4x - 8 - x + 3 now add the like terms

-5x - 5

Final answer: -5x - 5

Answer:

90,000

Step-by-step explanation:

We can't see the container. You should ask again with a different picture so you can get the right answer.

Answer:

x=-3

Step-by-step explanation:

Answer:

The Correct Answer is: 15 bicycles and 6 skateboards.

Step-by-step explanation:

I'm sure it is that one. No Doubts.

Answer:

72 and -2

Step-by-step explanation:

x - y = 74

2x + 3y = 138

x - y = 74

y = x - 74

2x + 3(x - 74) = 138

2x + 3x - 222 = 138

5x = 360

x = 72

x - y = 74

72 - y = 74

-y = 2

y = -2

Answer:

Step-by-step explanation:

So basically you’re asking if blank plus 8 is greater than 14 so the answers would be 8 and 10

Answer:

 =  − 2

Step-by-step explanation:

Answer:

x = -2

Step-by-step explanation:

Answer:

x=7

Step-by-step explanation:

You need to bring 9x to the right side and bring '-ll' to the left side so it will be 11+10 = 12x-9x. Then you calculate 11+10, which is 21, then you subtract 12x to 9x. Then it will be 21 = 3x. Lastly, you divide 3 on both sides of the equation and get x to be 7!

Answer:

x=7

Step-by-step explanation:

9x+10=12x-11

-9x. -9x. subtract 9x from both sides

10 = 3x-11

+11 +11. add 11 to both sides

21 =3x

divide by 3x (21 ÷3=7) therefore x=7

Answer:

2 adult tickets

Step-by-step explanation:

we have two relations

[tex]a + c = 5[/tex]

[tex]9a + 4c = 30[/tex]

first rearrange the top equality for one of the variables

[tex]a = 5 - c[/tex]

now substitute into the second equation

[tex]9(5 - c) + 4c = 30[/tex]

perform the distribution and combine like terms

[tex]45 - 9c + 4c = 30[/tex]

[tex]45 - 5c = 30[/tex]

[tex] - 5c = - 15[/tex]

[tex]c = 3[/tex]

place this 3 into our first equation and solve for a

[tex]a + (3) = 5[/tex]

[tex]a = 2[/tex]

Answer:

Since there are three colors and a standard number cube has 6 sides, you can let the numbers 1 and 2 represent red, 3 and 4 represent white, and 5 and 6 represent blue. Then roll the number cube repeatedly, recording the results for each roll. After you have recorded a sufficient number of rolls, determine which color was rolled the most often.

RESULT

Let the numbers 1 and 2 represent red, 3 and 4 represent white, and 5 and 6 represent blue.

Option (C) predicts the probability of the above situation correctly is the correct answer.

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

A toy machine has equal numbers of red, white, and blue foam balls which it releases at random.

Ross wonders which color ball will be released next.

A standard number cube is used to model and predict this situation.

A standard number cube has six faces namely 1,2,3,4,5,6.

There are three foam balls. If we assign two numbers for each foam, then we can able to predict the probability of next foam by rolling it for number of times.

Thus from the given options, Let 1 and 2 represent red, let 3 and 4 represent white, and let 5 and 6 represent blue. Toss the cube 50 times to determine the experimental probability for each color. Predict that the next ball will be the color with the greatest experimental probability. This option determines the above situation.

Hence we can conclude that option (C) predicts the probability of the above situation correctly is the correct answer.

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Answer:

X = 70

Step-by-step explanation:

180 - 40 = 140

140/2 = 70

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