Simplify -3[5 - (-8 + 6)]

A + B  = - 2x² - 15 , A - B = 10x² - 5

A + B = 4x² - 10 - 6x² - 5 = - 2x² - 15

A - B = 4x² - 10 ) - ( - 6x² - 5 ) = 4x² - 10 + 6x² + 5 = 10x² - 5

Final answer:

To factor the expression 16a+40b by finding the GCF, you determine that the GCF is 8 and then express the original terms as 8(2a + 5b). By distributing the GCF back into the factored terms and obtaining the original expression, you confirm the factorization is correct.

Explanation:

To factor the expression 16a+40b by finding the Greatest Common Factor (GCF), you first list the factors of each coefficient:

Factors of 16 are 1, 2, 4, 8, 16.

Factors of 40 are 1, 2, 4, 5, 8, 10, 20, 40.

The GCF for these two numbers is 8 because it is the highest number that divides both 16 and 40 evenly. Now, you factor out the GCF from both terms in the expression:

8(2a + 5b)

To verify if the GCF is factored out correctly, you can distribute 8 back into the terms within the parentheses. If the original expression is obtained, the GCF was factored out correctly:

8*2a = 16a

8*5b = 40b

Therefore, the factored expression is correct, and Justine has successfully found and factored out the GCF.

Condensation. The water that evaporates into the sky gets condensed into clouds. For the dew,

"Dew is water in the form of droplets that appears on thin, exposed objects in the morning or evening due to condensation. As the exposed surface cools by radiating its heat, atmospheric moisture condenses at a rate greater than that at which it can evaporate, resulting in the formation of water droplets."

Clouds, fog, and dew result from condensation, where cooling water vapor transforms into water droplets. Fog is a type of cloud at ground level, and dew forms on surfaces when the air cools down to the dew point. Clouds form aloft when droplets condense around microscopic particles in the air.

Formation of Fog, Dew, and Clouds

The formation of fog, dew, and clouds is a result of the condensation process. When water vapor in the atmosphere cools, it changes into tiny droplets of liquid water. Clouds form when these droplets, which combine around condensation nuclei such as dust or pollen, group together aloft in the atmosphere.

Fog is essentially a type of cloud that forms near the ground level when the air temperature drops to the dew point where the air reaches saturation. Dew forms at the surface, typically during the night under cloudless skies and high humidity, when the surface cools enough to reduce the near surface air temperature to the dew point.

Frontal fogs occur due to a humidification process where warm, moist air over cooler, drier air at a weather front reach saturation and fog forms.

Answer:

a

4,5,8,11 are the domain

Step-by-step explanation:

x is always the domain, input and It could also be a function but I don't think that only four five eight and 11 are functions so I would go with a

Out of the provided statements, the correct one is that {4, 5, 8, 11} are the domain, as these values are the first elements in each ordered pair of the given set.

The set of data given is {(4, 0), (5, 0), (8, 0), (11, 0)}, and with respect to this set, the domain is the set of first elements of each ordered pair, while the range is the set of second elements. In this case, the domain is the set {4, 5, 8, 11}, and the range is the set containing just one element, which is {0}, since each second element is 0. Therefore, the correct statement is: {4, 5, 8, 11} are the domain.

To subtract 43.866 from 737.303, align the decimal points and subtract the corresponding digits from right to left.

To subtract 43.866 from 737.303, align the decimal points of the two numbers. Then subtract the corresponding digits from right to left, carrying over as necessary. The result is 693.437.

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Answer:

x + (x+1) + (x+2) = 90

3x + 3 = 90

3x = 87

x = 29 (which is the smallest of the 3 numbers).

Step-by-step explanation:

In order for them to be of an equal quotient, a possible solution for x is 3 or 1.

Answer:

 distance        distance

--------------- + ----------------- = 2.5 hrs

35 mph          45 mph

The distance is 49.22 miles.

Step-by-step explanation:

The time spent on the outward trip PLUS the time spent on the return trip add up to 2.5 hrs.  Thus,

 distance        distance

--------------- + ----------------- = 2.5 hrs

35 mph          45 mph

Then 45d + 35d = 2.5(35)(45) = 3937.5.  Adding 45d and 35d, we get 80d.  Dividing 3937.5 by 80 results in 49.22 (miles).

The home to work distance is 49.22 miles.

Answer:

49.22

Step-by-step explanation:

The equation to your answer is n/35+n/45=2.5

Answer:

11x = 19

Step-by-step explanation:

The equation 11x = 19 is not a result of solving the system of equations by addition.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

A system of linear equations is usually a set of two linear equations with two variables.

We have the system of equations as -

5x + 2y = 5

3x - y = 14

Assume that -

5x + 2y = 5    ..[1]

3x - y = 14    ..[2]

Eq[2] x 2, we get -

6x - 2y = 28  ..[3]

Adding [1] and [3], we get -

11x = 33

x = 3

The equation 11x = 19 is not a result while solving the equations

Therefore, the equation 11x = 19 is not a result of solving the system of equations by addition.

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To solve this problem you must apply the proccedure shown below:

1. You can make the following expression, where [tex]O[/tex] is the orange picks and [tex]G[/tex] is the green picks:

[tex]O+G=25[/tex]

2. You have that there are 3 orange picks gor every 2 green, therefore:

[tex][tex]\frac{3}{2} =\frac{O}{G}\\ G=\frac{2}{3}O[/tex][/tex]

3. Substitute [tex]G[/tex] into the first equation and solve for [tex]O[/tex]:

[tex]O+\frac{2}{3}O=25\\ \frac{5}{8}O=25\\ O=15[/tex]

The answer is: There are 15 orange.

Note the equal sign. What you do to one side, you do to the other. Isolate the a.

Add 4 to both sides

a- 4 (+4) = 15 (+4)

a = 15 + 4

a = 19

19 is your answer for a

hope this helps

The answer is 19.

-4 + a = 15

4 + -4 + a = 15 + 4         -Add 4 to both sides

a = 19

6b < 24     |:6

b < 4

or

4b + 12 > 4     |-12

4b > -8     |:4

b > -2

-2 < b < 4

Answer:

the answer is 5/4 cup

Step-by-step explanation:

the equation would be 1/2 + 3/4.          to have common denominators, you multiply the numerator and denominator by 2, which changes the equation to 2/4 + 3/4. then you add the numerators up and you get 5/4 cup

0.07 to 1 significant figure

the zero's are not significant. They are place settings.

The 6 is significant and the 9 following it round the 6 to 7

hence, 0.07 is the rounded value

Answer:

91000 or 9.100 * 10^4

Step-by-step explanation:

This mean that a lot of things are going to change. The decimal will disappear. If that happens what you have is

90998

Now many other things will disappear as well because you are rounding

The easiest way to show this is just to round which will give you

91000

If you know scientific notation then the answer becomes

9.100 * 10^4

Does it say how many less leashes the store has compared to X collars? Cause if it doesn't you'll just have to estimate the answer between I would say 5 and 7.

Hey there!

The correct answer would be~

The diver is now swimming at -7 meters.

Here's how:

If the diver is already swimming at negative 10, going deeper would add to that.

(-10) + (-3) = -13

So at this point, he is at -13 meters. However, it says he rises 6 meters.

So if he rises, we need to subtract.

13 - 6 = 7

Therefore he is now at -7 meters.

Hope this helps!

~Fluerie

0.8596873205... because it does not repeat the same numbers in a certain order

Without a repeating pattern, 0.8596873205... is most likely irrational.

The question is asking us to identify which among the given numbers is irrational.

An irrational number is a number that cannot be expressed as a ratio of two integers, and whose decimal expansion is non-terminating and non-repeating.

Among the options given, the number 0.8596873205... (although not fully expanded) is likely to be irrational if the digits do not form a repeating pattern.

However, we cannot definitively conclude that it is irrational without additional information about the continuation of its decimal digits.

In contrast, numbers with repeating patterns, such as 0.117117117..., 0.812812812812..., and 0.605605605..., can be expressed as fractions and are therefore rational

A=length*width

30 1/3 = 6 1/2 w

w= 30 1/3 divided by 6 1/2

w=182/39

w=4 2/3

4 and 2/3

i turned it into an improper fraction

91/3÷13/2=

4 2/3 when simplified

Answer:

2/5 or 0.4

Step-by-step explanation:

10 students like building snowmen but do not like skiing

so students who like both building snowman and skiing = 60 - 10 = 50

Total number of students who does not like building snowman and also does not like skiing = 80 - 60 = 20

Therefore, the probability that  a student who does not like building snowmen also does not like skiing = 20/50 = 0.4

The value of one (1) is one-thousand (1,000)

The value of five (5) is five-hundred (500)

The value of six (6) is sixty (60)

The value of seven (7) is seven (7)

The value of two (2) is two-tenths (0.2)

The value of zero (0) is zero hundredths (0.00)

The value of nine (9) is nine thousandths (0.009

The basketball team, based on their average score of 52 points a game, would score a total of 780 points in 15 games.

Explanation:

To compute the total number of points a team scores in all games, based on their average score, the formula to use is: Total Score = (Average Score) × (Number of Games). The question states that the basketball team scored an average of 52 points in each of 15 games. So, we have:

Total Score = 52 points per game × 15 games

Calculating the above gives Total Score = 780 points.

This means that, based on their average of 52 points per game, the basketball team would score a total of 780 points in 15 games.

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102900000000 is the answer

Im pretty sure.. Im 50/50

Hope this helps... Just comment me and say if im wrong or right

BTW I did the question on the calculator and got that answer

To add 7.14 x 10^10 and 3.15 x 10^10, sum the coefficients (7.14 + 3.15 equals 10.29) and keep the common exponent, resulting in the answer 10.29 x 10^10.

The student's question involves the addition of two numbers that are written in scientific notation. This is a common operation in mathematics, specifically when dealing with very large or very small numbers. To add these numbers, we can simply add the coefficients (7.14 and 3.15) since the powers of 10 are the same (10^10 in both cases).

Here is the calculation step-by-step:

Therefore, the sum of 7.14 x 10^10 and 3.15 x 10^10 is 10.29 x 10^10.

Answer:

  Equation, 45 p + 25 q = 900

Explanation:

 Pecan trees yield 45 pounds per acre and hazelnut trees yield 25 pounds per acre.

Pecan tree yield per acre = 45 pounds

Hazelnut tree yield per acre = 25 pounds

Acres of pecan trees in Jenna's farm = p

Acres of hazelnut trees in Jenna's farm = q

Total pounds of nut yielded = 900

So we have the equation,

         45 p + 25 q = 900

Solution

The sequence is an Arithmetic sequence.

Here the 1st term = -13

An = A(n-1) + 4

Therefore, the common difference (d) = 4

2nd term = first term + common difference

2nd term = -13 + 4 = -9

The answer is -9.