2. Round the following numbers to the nearest 10 thousand:

990,201:__________
159,994 :__________​

Answer: 240 mins

Step-by-step explanation:

Since the series is an Arithmetic progression, the difference between the consecutive terms is constant,

Therefore,

(2x+8) - (x+4) = 12 - (2x+8)

⇒ 2x + 8 - x - 4 = 12 - 2x - 8

⇒x + 4 = 4 - 2x

⇒ 3x = 0

⇒ x = 0

The value of x is 0,

So, the Arithmetic Progression is 4, 8, 12.......

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we have the function

To find out the instantaneous rate of change without using derivatives, we need two points

For x=0

The first point is (0,0)

For x=-1

The second point is (-1,1/3)

Find out the slope

therefore

Verify the answer with the exact answer (with derivative)

Answers:

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

Explanation:

Part 1

There are 5 teachers for every 120 students.

Think of it like this ratio

5 teachers: 120 students

Then divide both sides by 5 to turn the "5 teachers" into "1 teacher".

5 teachers: 120 students

5/5 teachers: 120/5 students

1 teacher: 24 students

There are 24 students per teacher

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

Part 2

There are 3 tutors for every 36 students

3 tutors: 36 students

3/3 tutors: 36/3 students

1 tutor: 12 students

There are 12 students per tutor

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

Part 3

The jump from 12 to 120 is "times 10"

We'll multiply 10 on both sides of the ratio we found in the previous part.

1 tutor: 12 students

10*(1 tutor) : 10*(12 students)

10 tutors : 120 students

Answer:

Quarter of a way through 1 and 2

Step-by-step explanation:

Quarter of a way through 1 and 2

On the graph can see that Tom completes the race in less than 5 hours and Sam in more than 5 hours, so Tom wins.

Tom and sam are running a 40-yard race, so, the first one in run 40 yards wins.

Here we have two graphs, both are lines that relate distance and time. With them we can see that:

Then the one that takes less time to complete the race is Tom, and thus, Tom wins the race.

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Distribute -5 to all terms inside the parenthesis.

-5(4x - 3y - 1)
-5(4x) + -5(-3y) + -5(-1)
-20x + -5(-3y) + -5(-1)
-20x + 15y + -5(-1)
-20x + 15y + 5

Substitution Property of Equality - (2) You replace one expression with another equivalent expression.

Segment Addition Postulate - (10) Parts of line segment combine to form longer segments.

Triangle Sum Theorem - (4)The measure of three interior angles in a triangle have a sum of 180 degrees.

Reflexive Property - (8) An expression is equal to itself

Angle Addition Postulate - (6)The measure of an angle formed by two adjacent angles is the sum of the measures of the two angles.

Symmetric Property - (9) You switch expressions from one side of the equals symbol to the other.

Angle Congruence Postulate - (1) If two angles are congruent their measures are equal.

Segment Congruence Postulate - (7)Two segments are congruent so they have the same length.

Definition of Right Angle - (5) An angle is a right angle so its measure is 90 degrees.

Transitive Property - (3) a = c because a = b and b = c.

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The length of side EC of the △ECD is 12 meters if the length of AB of △ABC is 9 meters using the concept of similarity of triangles.

As per the question statement, we are given an image depicted as a lattice bridge where △ABC ∼ △ECD and the ratio of lengths of corresponding sides in △ABC and △ECD is 3:4

Length of AB is 9 meters and we are supposed to find the length of side EC of the △ECD.

As ratio of corresponding sides is 3:4 and △ABC ∼ △ECD (given)

AB : EC = 3 : 4

But AB = 9 meters (given)

9 /EC = 3/4

EC = 4*9/3

EC = 12 meters.

Hence, The length of side EC of the △ECD is 12 meters if the length of AB of △ABC is 9 meters using the concept of similarity of triangles.

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If you bought 24 lemons, you would have spent $16.

A ratio of 6 lemons to the cost of 6 lemons in $ is 3:2.

The relationship or comparison between two quantities of the same unit to determine how much larger one number is than the other is known as a ratio. The expression is expressed as a/b or a:b when b is not equal to 0.

Given:

Cost of 6 lemons in bag = $4

Cost of 24 lemons = (24 × 4)/6 = $16

The ratio of 6 lemons to the cost of 6 lemons in $ is 6:4 which can be reduced to 3:2.

Hence, the required ratio is 3:2.

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The most appropriate choice for percentage will be given by

Number of cards sold on mother's day = 600

What is percentage?

Percentage is any number which is expressed as a fraction of 100

In percentage,the denominator is 100

For example, 2% means [tex]\frac{2}{100}[/tex]

Here,

Let the number of cards sold for mother's day be x

A salesman sold 4% of the card sold for mother's day

Number of cards sold by the salesman = [tex]\frac{4}{100} \times x[/tex]

                                                                 = [tex]\frac{x}{25}[/tex]

By the problem,

                           [tex]\frac{x}{25} = 24[/tex]

                            [tex]x = 24 \times 25\\[/tex]

                            [tex]x = 600[/tex]

Number of cards sold on mother's day = 600

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Answer:

.... the number is (13). 13+4=17 , and 19-2=17

Step-by-step explanation:

The stems are 0, 2, 3, 4, 5, 6, 8. Therefore option e, is the correct answer

Stem and leaf plot are used in statistics to organize data that are collected. Any number in a data is broken down into a stem and a leaf.

Stem displays data on the left while leaf displays data to the right

The data for the amounts of money (cents) in coins carried by 10 students in a statistics class: 50, 35, 0, 46, 86, 0, 5, 47, 23, 65 can be represented in the stem and leaf plot below:

2 I 3 ⇒ 2 on the stem and 3 on the leaf read as 23

3 I 5 ⇒ 3 on the stem and 5 on the leaf read as 35

4 I 6 ⇒ 4 on the stem and 6 on the leaf read as 46

4 I 7 ⇒ 4 on the stem and 7 on the leaf read as 47

5 I    ⇒ 5 on the stem as 5

5 I 0 ⇒ 5 on the stem and 0 on the leaf read as 50

6 I 5 ⇒ 6 on the stem and 5 on the leaf read as 65

8 I 6 ⇒ 8 on the stem and 6 on the leaf read as 86

Hence, stems are 0, 2, 3, 4, 5, 6, 8

Therefore, option e, is the correct answer

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Answer:Never mind I don't want to spread it around

Step-by-step explanation:

lol

The number of hours Hamal works is represented as x.

Since we need to find the amount Hamal is earning per hour (or in an hour), we replace x as 1 (for 1 hour)

Now, we get the equation : y = 10 x 1 + 50.

Since y represents the amount of money he earns, we need to find y when x = 1, or the equation above.
-> y = 60.

Therefore, Hamal earns 60 (dollars?) per hour.

When pushing a car using a force of 500 N. The work done is 7500 Joule.

Force is a power that results in the motion of an object. It is calculated by newton. Distance is the measurement of two entities from one side to another side. It is calculated in meters and kilometers.

By multiplying the total force used, and the total distance traveled, the total work done may be calculated.

Given, the force is 500 N

Distance is 15 m

Total work done = force × distance

500 × 15 N = 7500 Joule

Hence, 7500 Joule work is done.

Therefore, the total work done is 7500 Joule.

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The question is incomplete. Your most probably complete question is given below:

Pushing a car 15 m using a force of 500 N. How much work was done?

The formula for calculating standard deviation of a sample is expressed as

Standard deviation = √Σ(x - mean)^2/(n - 1)

where

n = the number of samples = 5

Mean = (17 + 20 + 44 + 39 + 40)/5

Mean = 32

Σ(x - mean)^2 = (17 - 32)^2 + (20 - 32)^2 + (44 - 32)^2 + (39 - 32)^2 + (40 - 32)^2 = 626

n - 1 = 5 - 1 = 4

Standard deviation = √(626/4)

Standard deviation = 12.51

whole numbers that are between 25 and 50 and have a difference of 4 are 26, 30, 34, 38, 42, 46.

What is rational number?

Rational numbers are those numbers which include natural numbers, whole numbers as well as integers. And it is written in the form of a/b where a and b are integers. Sometimes, the values of the denominator is one then the given number is not fraction.

Here,

The whole numbers that are between 25 and 50 and have a difference of 4 their digits will start from 26 and next number will be at the gap of 4 that is 30 and so no :

all whole numbers = 26, 30, 34, 38, 42, 46.

Therefore, whole numbers that are between 25 and 50 and have a difference of 4 are 26, 30, 34, 38, 42, 46.

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The graph of y = - |x + 1| - 5 will be like an inverted "V" letter, such that the vertex is on the point (-1, -5).

The general absolute value function can be written as:

y = |x - a| + b

This function looks like a "V", such that the vertex of the graph is located at the point (a, b).

Particularly, if we have a negative sign before the absolute value part, like in:

y = -|x - a| + b

The "V" will open downwards.

In this case, the function is:

y = - |x + 1| - 5

In this case, the vertex will be at (-1, 5).

And we can see a negative sign before the absolute value part, so the graph opens downwards.

That is the description of the graph.

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The most appropriate choice for Quadratic  equation will be given by -

Third option is correct

What is Quadratic equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.

A two degree equation is known as Quadratic equation.

Here,

[tex]x^2 +2x=24\\x^2+2x-24=0\\x^2+6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\[/tex]

[tex]x+ 6 = 0[/tex] or [tex]x - 4 = 0[/tex]

x = -6 or x = 4

Third option is correct

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The width of a rectangle is 4 units less than the length. The width, in units, of the rectangle is 2 units.

Represent the length and width by L and W.

Then W = L - 4.

The area of the rectangle is 12 units

= Length x width  

=  L x W

=  L(L - 4)

=L^2 - 4L = 12

L^2 -4L - 12 = 0

Now on solving this quadratic equation we get

L^2 -4L - 12 = 0

L^2 - 6L  + 2L -12 = 0

L(L - 6 ) -2(L - 6) = 0

(L-6)(L-2) = 0

This factors easily into

(L - 2)(L - 6) = 0

so L must be 2,6.  

When L = 2

The width of the rectangle is W = L - 4 = 2 - 4 = -2 units.

We ignore the negative values.

when L= 6

The width of the rectangle is W = L - 4 = 6 - 4 = 2 units.

The width of a rectangle is 4 units less than the length. The width, in units, of the rectangle is 2 units.

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Answer:

7x

Step-by-step explanation:

x is something you find in 2 parts of the equation. Simply do 10-3 and add an x to the end

For the given question,

The provided number is 32.

The first 5 multiple of 32 = 2, 4, 8, 16 and 32.

Now, all factors of 32 = 2, 4, 8, 16 and 32.

Thus, the 5 multiples and the all factors of 32 are determined.

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Answer:

Look Down.

Step-by-step explanation:

The LEAST number of significant figures in any number of the problem determines the number of significant figures in the answer.

So in the first place, the 5:6 ratio of 12 tomato plants would be 2 tomato plants left over making ralph's plant # 840 in the first place.

Proportional relationships in real world settings are given as follows:

A direct proportional relationship is modeled as follows:

y = kx.

In which:

One example is the relation between distance, velocity and time, given as follows:

d = st.

In which the velocity is the constant.

This relationship can also be interpreted as proportional between distance and velocity, with time as constant.

Another format of this relationship is:

t = d/s

Which means that time and distance are proportional, which one divided by the velocity as the constant.

Velocity and distance can also be proportional, as follows:

s = d/t.

With one divided by the time as constant.

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You have the segment EG and point F in it.

Point F separates the segment in two smaller ones EF and FG.

You can say that

EG= EF + FG

You have to replace the name of the segments with their values to get the equation:

Now that you have a one unknown equation you can clear X

The value of x is 3.6

By solving a system of equations we can see that Alang sold 25 pounds of blueberries and 45 pounds of grapes.

Here we need to define the variables:

g = pounds of grapes bought.

b = pounds of blueberries bought.

We know that:

"Alang sold 20 more pounds of grapes than pounds of blueberries and made $182.50 altogether."

then we can write the system of equations:

g = b + 20

g*3.5 + b*1 = 182.50

To solve this, we can replace the first equation into the second one, so we get:

(b + 20)*3.5 + b*1 = 182.50

b*4.5 + 70 = 182.50

b*4.5 = 182.50 - 70

b*4.5 = 112.50

b = 112.50/4.5 = 25

And we know that:

g = b + 20 = 25 + 20 = 45

So he sold 25 pounds of blueberries and 45 pounds of grapes.

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Answer: 11

Step-by-step explanation:

Use distance formula: [tex]\sqrt{(x_1 - x_2)^2 + (y_2 - y_1)^2\\}[/tex]

5 - 5 = 0

7 - - 4 = 7 + 4 = 11

[tex]\sqrt{11^2} = 11[/tex]

Answer:

The submarine will be at -50 feet after the descent.

Step-by-step explanation:

A submarine at -20 feet descends 30 feet. What is the submarine's current location after the descent?

If the starting point is -20 feet and it says that the submarine goes down another 30 feet we can write an equation and solve it.

Descending indicates going down or subtraction.

Let x=the current location after the descent.

-20+(-30)=x

-20-30=x

-50=x

The submarine will be at -50 feet after the descent.

Hope this helps :)