What square root of 9 is less than 2 squared

Answers

Answer 1
3
The square root of 9=3×3. 2 squared =2×2, which=4. Therefore, 3 is less than 4.

The square root of a number is = to a number squared.

Example: The square root of 25=5, or 5*5. Also, the number 5 squared= 5*5, which also is 25.
Answer 2
Final answer:

The square root of 9 is 3, but the negative square root of 9, which is -3, is less than 2 squared (4). Therefore, the answer to the question is -3.

Explanation:

The square root of 9 is 3. We denote the square root symbolically as √9 = 3. However, if we're looking for which square root of 9 is less than 2 squared (which is 4), we consider that every positive number has two square roots: one positive and one negative. The negative square root of 9 is -3, which is indeed less than 4. Therefore, the square root of 9 that is less than 2 squared is -3.

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Related Questions

please need help asap !!!

Answers

The answer is B
My work is shown here on this pic

Find the slope of the line: 6x – 3y + 6 = 0

Answers

Answer:

m=2

Step-by-step explanation:

6x - 3y + 6 = 0

Subtract 6x from both sides.

-3y + 6 = -6x

Subtract 6 from both sides.

-3y = -6x - 6

Find the GCF of both sides by, which, in this case, is -3. Divide both sides by the GCF, -3.

y = 2x + 2

Since the formula for linear equations is:

y = mx + b , 2 in the slope.

f(x)=3.7-2x

g(x) = 0.25x-5

What is f(x) + g(x)

A) h(x)=3.95x-7
B) h(x)=8.7-2.25x
C) h(x)=-1.3-1.75x
D) h(x)=3.95-7x

Answers

Answer:

C) h(x)=-1.3-1.75x

Step-by-step explanation:

f(x)=3.7-2x  

g(x) = 0.25x-5

f(x) + g(x) =3.7-2x   + 0.25x-5

Combine like terms

              = -1.75x - 1.3

Answer:

The answer is C.) h(x)=-1.3-1.75x

Step-by-step explanation:

which of these quadrilateral types must have congruent diagonals. a. rectangle, square, rhombus b.square, rhombus c.rectangle, square d.parallelogram, rectangle, square, rhombus​

Answers

( C. Rectangles and squares)
This is because a square IS a rectangle and has alike properties. A rectangle always has congruent diagonals,therefore passing the property onto the square. Even though a square is a combination of a rhombus, a rhombus doesn’t have congruent diagonals. Finally, a parallelogram can be any shape so it doesn’t necessarily have to have congruent diagonals

Rectangles and squares always have congruent diagonals due to their geometrical properties, making option c (rectangle, square) the correct answer.

The question asks which of the given sets of quadrilaterals must have congruent diagonals. The key to answering this question is understanding the properties of each kind of quadrilateral mentioned. Rectangles and squares always have congruent diagonals because their diagonals bisect each other and are of equal length due to the right angles at the corners of the shapes.

A rhombus, while having diagonals that bisect each other at right angles, does not necessarily have congruent diagonals because the angles between adjacent sides do not guarantee equal lengths of diagonals. As such, the correct answer is c.rectangle, square, where both of these shapes must have diagonals of equal length due to their geometrical properties.

A patient received 84 mL per hour of normal saline solution. How many liters did the patient receive in 24-hour period?

Answers

Answer:

2.106 liters

Step-by-step explanation:

24 * 84 mL = 2016 mL = 2.106 L

Answer: 84*24=2016

You multiply 84 by 24 to get 2016.

If 5 cans of baked beans cost $2.85, how
many cans of baked beans can be bought
for $19.38?

Answers

Answer:

34 cans. If you set it up as ratios (5/2.85 = x/19.38), make the number of cans you need to know "x" and solve for x.

Final answer:

To determine how many cans of baked beans can be bought for $19.38, divide $19.38 by the cost of each can, which is found by dividing the total cost of 5 cans by 5. The result is that you can buy 34 cans of baked beans for $19.38.

Explanation:

To find out how many cans of baked beans can be bought for $19.38, we need to determine the cost of each can. Given that 5 cans of baked beans cost $2.85, we can divide the total cost by the number of cans to find the cost of each can: $2.85 ÷ 5 = $0.57 per can.

Next, we divide the amount of money we have, $19.38, by the cost of each can to find the number of cans we can buy: $19.38 ÷ $0.57 = 34 cans.

So, for $19.38, we can buy 34 cans of baked beans.

what is y=2x-5 and x+3y=27 graphed

Answers

Answer:

See attachment

Step-by-step explanation:

The first function is [tex]y=2x-5[/tex].

The slope is [tex]m=2[/tex] and the y-intercept is [tex]b=5[/tex].

The second equation is [tex]x+3y=27[/tex].

The slope intercept form is [tex]y=\frac{1}{3}x+9[/tex]

The slope is [tex]m=\frac{1}{3}[/tex] and y-intercept is [tex]b=9[/tex]

The graph of these two functions is shown in the attachment.

Mrs. Vanwhy made a two-way table to show which students made honor roll and which students study a foreign language.
Which is the best two-way table for Mrs. Vanwhy to organize her data?

Answers

Answer:

2

Step-by-step explanation:

did it on edge

Option (B) Column 1 has entries honor roll, foreign language, total. Column 2 is labeled not on honor roll. Column 3 is labeled no foreign language. Column 4 is labeled total is the correct answer.

What is table of values?

A table of values is a set of ordered pairs usually resulting from substituting numbers into an equation (relation). By using this variable within the equation or in the other function, the value of the other variable or the missing number in the equation can be found easily.

For the given situation,

The diagram shows the two-way table.

Mrs. Vanwhy made a two-way table to show which students made honor roll and which students study a foreign language.

From the data, the table that shows all the required data for Mrs. Vanwhy  to organize her data should consist of honor roll, foreign language, not on honor roll, no foreign language.

Hence we can conclude that option (B) Column 1 has entries honor roll, foreign language, total. Column 2 is labeled not on honor roll. Column 3 is labeled no foreign language. Column 4 is labeled total is the correct answer.

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#11 Mrs Owen ordered 500 chicken wings to be shared equally among 250 guests invited to her wedding anniversary party. However the turnout was less than expected and every guest ate one more chicken wing than originally planned. If there were 92 chicken wings left after the party, how many people attended Mrs. Owen’s party?


 
#12 The total number of cherries on a plate, in a cup and in a bowl is 780. The plate contains 145 cherries. The number of cherries in the bowl is 4 times the total number of cherries on the plate and in the cup. How many cherries are in the cup?

Answers

Answer:

11: 136 people

12: 55 Cherries

two less than a number divided by four


Answers

Answer:

=x/4 - 2 (the third choice.

Step-by-step explanation:

Letting the number be x, the phrase two less than a number divided by four is expressed using the following steps:

We first take the the number x then divide by four then subtract 2.

The expression becomes:

(x/4) - 2

To solve an algebraic expression such as the one you described – "two less than a number divided by four" – you can follow these steps:
1. Start by identifying the variable, which is typically represented by "x." In this case, "a number" will be our variable "x."
2. The phrase "two less than" indicates a subtraction of two from a certain value. In algebraic terms, "two less than x" would be written as "x - 2."
3. Finally, the phrase "divided by four" tells us to take our result from step 2 and divide it by 4. So, we place the expression "(x - 2)" over 4, indicating division.
Putting it all together, the algebraic expression that represents the phrase "two less than a number divided by four" is:
(x - 2) / 4
To evaluate this expression for a particular value of x, you would substitute the value of x into the expression and then perform the calculation.
For example, if x is 10, you would evaluate the expression as:
(10 - 2) / 4
= 8 / 4
= 2
So, when x is 10, the value of the expression "two less than a number divided by four" is 2.

A paint box contains 12 bottles of different colors. If we choose equal quantities of 3 different colors at random, how many color combinations are possible? A. 479,001,600 B. 1,320 C. 220 D. 36

Answers

Answer:

C

Step-by-step explanation:

You are choosing 3 from a total of 12. Order does not matter. So you are working with combinations. The answer symbolically is

12C3

12C3 = 12!/(9!3!)

12C3 = 12 * 11 * 10 * 9!/(9! 3!)

12C3 = 12 * 11 * 10/6

12C3 = 2 * 11 * 10

12C3 = 220

Answer: Choice C) 220

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

We have 12 choices for the first selection, 11 for the second, and 10 for the third. There are 12*11*10 = 1320 permutations. If your teacher was asking about permutations, then you would be done at this point. However, your teacher is asking about combinations. With combinations, order does not matter.

For any group of 3 items, there are 3! = 3*2*1 = 6 ways to arrange this group. This means that we must divide 1320 over 6 to correct for the fact that we overcounted by a factor of 6

In this case,

number of combinations = (number of permutations)/6

number of combinations = 1320/6

number of combinations = 220

More generally, I'm using the connection that

nCr = (nPr)/(r!)

What is the maximum of f(x) = sin(x)?

Answers

Answer:

Sinx= 1(maximum value)

Step-by-step explanation:

Answer:

The maximum is 1

Step-by-step explanation:

-1<_sin(x)<_1

Range of sin(x)= [-1,1]

sin(x)= 1

Segment XY is dilated through point M with a scale factor of 2. Which segment shows the correct result of the dilation?



1. AE
2. BF
3. CG
4. DH

Answers

Answer:

4.DH

Step-by-step explanation:

let's assume the point P to be the point that X will be after it is  dilated.

we know that after dilation the length of PM should be two two times the length of XY

PM = 2.XY ===>[tex]\frac{PM}{XY}[/tex] = 2

and from proportionality theorem we now that:

[tex]\frac{PM}{XY}[/tex] = [tex]\frac{MX}{MP}[/tex] = 2

So we know XY should be half the size of MP  and we can see the only line matching is DH thus the answer is DH

A single card is drawn from a deck of 52 cards, find the following
probabilities:

a. result is a queen

b. result is a queen result is a face card

c. result is a heart

d. result is a heart | result is a red card

e. result is a heart result is a black card

f. result is a heart result is not a diamond

Answers

Answer:

a. 1/13

b. 1/78

c. 1/4

d. 1/12

e. 1/6

f. 1/4

Step-by-step explanation:

First, lets write some basic data

There are total 52 cards.26 cards are red and 26 cards are blackOut of 26 red cards; 13 cards are of diamond and 13 cards are of heartOut of 26 black cards; 13 cards are of spade and 13 cards are of clubsIn spade, clubs, heart and diamond there is one card of ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, King, Queen, Jack

a. result is a queen

Each set has one queen; 1 of spade, 1 of clubs, 1 of heart, 1 of heart

There are total 4 queens

Total number of cards is 52

Probability = Number of favourable outcomes/total number of outcomes

Probability = 4/52

Probability = 1/13

b. result is a queen result is a face card

From my understanding, this question is result is a queen given that result is a face card.

Queen: 4 cards

Face card means King, Queen and Jack

Each set has one King, one Queen and one Jack

There are total 4 sets

Therefore, there are 4 Kings, 4 Queens and 4 Jacks

Face cards: 12-4 (because 4 queens have already been taken out) = 8

Total number of cards: 52-4 (because 4 queens have already been taken out) = 48

Probability (A|B) = P(A) * P(A|B)

P(A) = result is a queen = 4/52 = 1/13

P(A|B) = result is a face card = 8/48 = 1/6

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/13 * 1/6

Probability (A|B) = 1/78 or 0.01282

c. result is a heart

Out of the 52 cards, there are 26 red cards and out of the 26 red cards, there are 13 cards of heart

Heart = 13 cards

Total number of cards = 52 cards

Probability = Number of favourable outcomes/total number of outcomes

Probability = 13/52

Probability = 1/4

d. result is a heart | result is a red card

Result is a heart = P(A) = 13/52 = 1/4

Result is a red card=26/52 Total number of red cards is 26 but 13 cards (heart) are already taken out so 13 will be subtracted from the numerator and denominator

= 13/39 = 1/3

Result is a heart given that result is a red card P(A|B) = 1/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1/3

Probability (A|B) = 1/12

e. result is a heart result is a black card

Result is a heart = P(A) = 13/52 = 1/4

Result is a black card=26/52 Total number of cards is 52 but 13 cards (heart) are already taken out so 13 will be subtracted from the denominator

= 26/39 = 2/3

Result is a heart given that result is a black card P(A|B) = 2/3

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 2/3 = 1/6

f. result is a heart result is not a diamond

Result is a heart = P(A) = 13/52 = 1/4

Result is not a diamond = there are 13 diamonds in a deck so cards that are not diamond are 52-13 = 39

Total cards = 52 - 13 (because hearts are already taken out) = 39

= 39/39 = 1

Probability (A|B) = P(A) * P(A|B)

Probability (A|B) = 1/4 * 1 = 1/4

!!

The probabilities of the given result in each subpart for deck of 52 cards can be given as following:
a. 1/13

b. 1/3

c. 1/4

d. 1/2

e. 0

f. 1/3

Following are the basics points need to know to solve this question:

There are total 52 cards.26 cards are red and 26 cards are black.Out of 26 red cards; 13 cards are of diamond and 13 cards are of heart.Out of 26 black cards; 13 cards are of spade and 13 cards are of clubs.In spade, clubs, heart and diamond there is one card of ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, King, Queen, Jack.

a. Probability that the result is a queen

There are 4 queens in a standard deck of 52 cards. So the probability:

[tex]P(Queen) = \frac{ Number \ of \ Queens }{Total \ Cards} = \frac{4}{52} = \frac{1}{13}[/tex]

b. Probability that the result is a queen given the result is a face card

There are 12 face cards in a deck (3 face cards each for 4 suits: Jack, Queen, King). So, conditional probability:

[tex]P(Queen | Face Card) = \frac{ Number \ of \ Queens }{Total \ Face \ Cards} = \frac{4}{12} = \frac{1}{3}[/tex]

c. Probability that the result is a heart

There are 13 hearts in a deck. So the probability:

[tex]P(Heart) = \frac{ Number \ of \ Hearts }{Total \ Cards} = \frac{13}{52} = \frac{1}{4}[/tex]

d. Probability that the result is a heart given the result is a red card

Red cards consist of hearts and diamonds. There are 26 red cards, and half of them are hearts. So, conditional probability:

[tex]P(Heart | Red \ Card) = \frac{ Number \ of \ Hearts }{Number \ of \ Red \ Hearts} = \frac{13}{26} = \frac{1}{2}[/tex]

e. Probability that the result is a heart given the result is a black card

Black cards consist of spades and clubs. There are no hearts in black cards. So:

[tex]P(Heart | Black \ Card) = 0[/tex]

f. Probability that the result is a heart given the result is not a diamond

If the card drawn is not a diamond, it must be either a heart, club, or spade. There are 39 such cards. So:

[tex]P(Heart |Not \ a \ Diamond) = \frac{ Number \ of \ Hearts }{Number \ of \ Non-Diamond \ Cards} = \frac{13}{39} = \frac{1}{3}[/tex]

Which can be the first step in finding the equation of the line that passes through the points 5,-4 and -1,8 in slope-intercept form?

Answers

The first step in finding the equation of the line would be to find the slope of the points.

The slope-intercept form of a line is given by:

[tex]\[ y = mx + b \][/tex]

where:

- [tex]\( m \)[/tex] is the slope of the line, and

- [tex]\( b \)[/tex] is the y-intercept.

To find the equation of the line that passes through the points (5, -4) and (-1, 8) in slope-intercept form, you need to follow these steps:

1. Find the slope [tex](\( m \))[/tex]:

  The slope [tex](\( m \))[/tex] is given by the formula:

  [tex]\[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} \][/tex]

  Pick two points, let's say (x1, y1) = (5, -4) and (x2, y2) = (-1, 8), and substitute them into the formula to find [tex]\( m \)[/tex].

 [tex]\[ m = \frac{{8 - (-4)}}{{-1 - 5}} \][/tex]

  Simplify the expression to find [tex]\( m \)[/tex].

2. Use the slope and one of the points to find the y-intercept [tex](\( b \))[/tex]:

  Substitute the slope [tex](\( m \))[/tex] and one of the points (let's use (5, -4)) into the slope-intercept form equation and solve for [tex]\( b \)[/tex].

  [tex]\[ -4 = m \cdot 5 + b \][/tex]

  Substitute the value of [tex]\( m \)[/tex] that you found in step 1 and solve for [tex]\( b \)[/tex].

3. Write the equation in slope-intercept form:

  Once you have the values of [tex]\( m \) and \( b \)[/tex], substitute them into the slope-intercept form equation.

  [tex]\[ y = mx + b \][/tex]

  Write the final equation.

By following these steps, you can find the equation of the line passing through the given points in slope-intercept form.

Final answer:

To find the equation of the line passing through (5,-4) and (-1,8), calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1), which results in a slope of -2.

Explanation:

The first step in finding the equation of the line that passes through the points (5,-4) and (-1,8) in slope-intercept form is to calculate the slope (m) of the line. The slope of a line is determined by the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. In this case, we would use the following calculation:

Let Point 1 be (5, -4) and Point 2 be (-1, 8).The slope m = (8 - (-4)) / (-1 - 5)m = (8 + 4) / (-1 - 5)m = 12 / -6m = -2

With the slope, you can then use the point-slope form or directly the slope-intercept form (y = mx + b) to find the equation, using either of the two points to solve for b, the y-intercept.

Melody lives due south of her cousins house and 40 miles due west of her grandparents house. One day she drove to her cousins house in a straight line from her grandparents house. How far did she drive?

Answers

i’m pretty sure it would be 40 miles :)

Final answer:

Melody drove approximately 56.57 miles in total on her trip from her grandparents' house to her cousin's house by traveling in a straight line.

Explanation:

Melody drove a distance of 40 miles in a straight line from her grandparents house to her cousin's house. To find the total distance she drove, we can use the Pythagorean theorem as she traveled in a right-angled triangle.

Distance due south = 40 miles

Distance due west = 40 miles

Total distance driven = √(40² + 40²)

Total distance driven = √(1600 + 1600) = √3200

Total distance driven ≈ 56.57 miles

Alexa and Bart are arguing about who will do the dishes. How can they make
a fair decision?

Answers

Answer:

Flip a fair coin. It has a 50% chance of landing heads up and a 50% chance of landing tails up. Therefore, the person who will do the dishes will be chosen at random.

Answer:

B: Put each person's name on a separate piece of paper in a bag.  Randomly draw a name. The person whose name is chosen does the dishes.

D: Roll a number cube. If the number rolled is even, Alexa does the dishes. If the number is odd, Bart does the dishes.

Step-by-step explanation:

I got it right:)

Cathy uses 3/4 teaspoon of vanilla in a batch of cookies. How many teaspoons are needed for 8 batches of cookies

Answers

6 teaspoons
3/4 * 8 is 24/4
24/4= 6
So you need 6 teaspoons

-4(w+2)+6w=
Can someone ease help me with this

Answers

Answer:

2w -8

Step-by-step explanation:

-4(w+2)+6w

Distribute the -4

-4w -8 +6w

Combine like terms

-4w  +6w   -8

2w -8

Answer:

Step-by-step explanation:

-4w-8+6w=0

8+2w=0

2w= -8

w= -4

Complete the solution of the equation. Find
the value of y when x equals -2.
-9x - 3y = 6

Answers

Answer:

y=4

Step-by-step explanation:

-9x - 3y = 6

Let x =-2

-9(-2) -3y =6

18 -3y =6

Subtract 18 from each side

18-18-3y = 6-18

-3y = -12

Divide each side by -3

-3y/-3 =-12/-3

y=4

How many months are in ¾ of a year

Answers

Answer:

9

Step-by-step explanation:

Answer:

9 months

Step-by-step explanation:

There are 12 months in a year

Multiply 12 months by 3/4

12 *3/4

36/4

9

There are 9 months in 3/4 of a year

please help meeeeeeeee!

The velocity v at time t of an object travelling in a straight line is given by v = t - 3.  Determine the distance it travels from t = 0 and t = 4.

Answers

Answer:

5

Step-by-step explanation:

To solve with calculus, distance is the integral of speed:

d = ∫ |v| dt

d = ∫₀⁴ |t − 3| dt

d = -∫₀³ (t − 3) dt + ∫₃⁴ (t − 3) dt

d = ∫₀³ (3 − t) dt + ∫₃⁴ (t − 3) dt

d = (3t − ½ t²) |₀³ + (½ t² − 3t) |₃⁴

d = [ (9 − 9/2 ) − (0 − 0) ] + [ (8 − 12) − (9/2 − 9) ]

d = 9/2 + 1/2

d = 5

You can also find this geometrically.  Graph y = |x − 3|, then find the area under the curve.  You will find it's the area of two triangles.

d = ½ (3)(3) + ½ (1)(1)

d = 5

It's important to note that distance is not the same thing as displacement.  Displacement is the difference between where you start and where you stop.  Distance is length of the path you take.

*****WILL GIVE BRAINLEST IF CORRECT******

Answers

Conner's work is correct. To combine and make it simple, you Multiply:

(3^5+9)+(6^8+10) which will equal 3^14 6^18.

But Jane's work, instead of adding, Jane multiplies. So, Conner is correct.

Hope that helped!

!!PLEASE HELP I WILL MARK YOU BRAINLIEST!!!
In this unit you have learned about several different ways to solve quadratic equations. How do you determine which method to use when you’re trying to solve a quadratic equation?

Answers

Answer:

You will use this formula x= -b +

[tex] x = - b + \sqrt{ { \: - 4ac}^{?} } [/tex]

Step-by-step explanation:

4n

[tex] {?}^{?} [/tex]

so you want to do n to the second power minus and minus 39 equals 0 so you using the quadratic formula

How would you explain this ?

Answers

Answer:

Step-by-step explanation:

The first thing you have to do is look at the mother curve. That curve is y = 1/x

It becomes undefined at x = 0 (I will show both curves below).

That is not what has been given. The graph you have been given becomes undefined at x = - 1 , so the equation of the curve (so far) y = 1/(x + 1)

Now we have to worry about the y intercept. When x = 0, y = 4. That can be accomplished in two ways

A. y = 4/(x + 1) or

B.  y = 2/(x + 1) + 2 or

C.  y = 1/(x + 1) + 3

All three of these will give a value of y = 4 when x = 0. But you have 1 problem left. What happens as x goes to say 5.

The value of A will give y = 4/(5 + 1)=4/6 = 2/3. Which does not work.

The value of C will give y = 1/(5 + 1) + 3 which gives 3 1/5 which also does not work.

Only B works. y = 2/(5+1) + 2 = 2/6 + 2 = 2 1/3 which is a little above the horizontal asymptote.

Red: y = 1/x

Blue: y = 2/(x + 1) + 2

The value at the end is never going to change. y will always be just a bit

Find the least positive angle measurement that is coterminal with –100°.

Answers

Answer:

260 degrees is coterminal with -100 degrees.

Step-by-step explanation:

So a full rotation about a circle is 360 degrees.

So if we do 360+(-100) we get 260.

They will share the same terminal ray because if we go 100 clockwise from the initial ray that will be an angle coming counterclockwise 260 from the initial ray.

100+260=360.

Answer:

260°

Step-by-step explanation:

Co terminal angles are angle ± 360°n where n = 0, 1, 2, 3, ....

The least positive = - 100° + 360° = 260°

Which of the following is rational?
3•π
2/3 +9.26
45 + 36
14.3+5.78765239

Answers

Let's consider each of the options and evaluate whether the given number is rational or not. Remember, a rational number is any number that can be expressed as the quotient or fraction of two integers (where the denominator is not zero).
1. **3•π**: This number is not rational because π (pi) is an irrational number. An irrational number is a number that cannot be expressed as a simple fraction - its decimal goes on forever without repeating. When you multiply an irrational number by an integer (in this case 3), the result is still irrational.
2. **2/3 + 9.26**: To determine if this sum is rational, we can evaluate each addend. The fraction 2/3 is clearly rational, as it is already expressed as a quotient of two integers. The decimal 9.26 can be expressed as a fraction because it is a terminating decimal; in fraction form, it is \( \frac{926}{100} \) which simplifies to \( \frac{463}{50} \) when reduced to lowest terms. The sum of two rational numbers is also rational (since both can be written as fractions, and the sum of two fractions is a fraction), so this number is indeed rational.
3. **45 + 36**: Both 45 and 36 are integers and the sum of two integers is also an integer. Integers are a subset of rational numbers, because they can be expressed as a fraction with a denominator of 1 (e.g., \( \frac{45}{1} + \frac{36}{1} \)). Thus, this number is rational.
4. **14.3 + 5.78765239**: The number 14.3 is a terminating decimal and can be represented as a fraction (\( \frac{143}{10} \)). However, 5.78765239 is given without any indication that it is a repeating or terminating decimal. If it is a non-repeating and non-terminating decimal, then it cannot be expressed as a fraction and would be considered irrational. Without further information, we cannot determine if this number is rational or not. Therefore, we can neither confirm nor deny that the sum is rational.
Given these considerations, the rational option from the given choices is **45 + 36**.

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Write a real-world problem in which you would solve the equation a+12=30.

Answers

Answer:

Brian has 12 apples. How many more apples does he need to have 30 apples in all?

Step-by-step explanation:

In this case "a" is the number of apples he needs to have 30 in all, and adding that to 12 results in the equation a + 12 = 30.

Hope this helps!

two perpendicular Lines intersect at the origin. If the slope of the First line is -1/2, What is the equation Of The second Line?​

Answers

Answer: y=2x

Step-by-step explanation: A perpendicular line is the opposite reciprocal of the slope. The opposite reciprocal of -1/2 is 2.

The equation of the second line is y=2x

Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance ticket and one same-day ticket is $35. For
one performance, 35 advance tickets and 30 same-day tickets were sold. The total amount paid for the tickets was $1125. What was the price of each kind of
ticket?​

Answers

Answer:

Advance=15$

Same-day=20$

Step-by-step explanation:

Advance=15 Same-day=20

15*35=525

20*30=600

525+600=1125

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