Round 4,482,186 to the hundreds place

Answer:

Step-by-step explanation:

The age of three sisters are consecutive integers meaning they are only one year apart.

E.g. sister 1 = x yrs old

Sister 2 = (x + 1) yrs old

Sister 3 = (x + 2) yrs old

They have a sum of 180 meaning if you add all 3 of their ages, you get a total of 180.

Sister 1 + sister 2 + sister 3 = 180

x + (x + 1) + (x + 2) = 180

So gather the like terms and you get:

3x + 3 = 180

Subtract 3 from both sides

3x = 180-3 = 177

Solve for x by dividing both sides by 3.

x = 177/3 = 59

So now we know what x is so you just plug it back into the equations at the beginning for the ages of each of the sisters.

Sister 1 = x = 59

Sister 2 = x + 1 = 59 + 1 = 60

Sister 3 = x + 2 = 59 + 2 = 61

Answer:

74.15

Step-by-step explanation:

this is bc there are ten spaces between 74.1 and 74.2. halfway between that is another 00.05 points.

Answer:

74.15

Step-by-step explanation:

you can find the average, by adding 74.1 and 74.2 and dividing by 2, which would get you 74.15

you can look on a number line and find the midpoint that way

hope this helps :)

Answer:

The answer is

[tex] \huge \boxed{54 \: \: {units}^{2} }[/tex]

Step-by-step explanation:

Area of a triangle is given by

[tex]A = \frac{1}{2} \times base \times height \\ [/tex]

From the question

base = 18

height = 6

So we have

[tex]A = \frac{1}{2} \times 18 \times 6 \\ = 9 \times 6 \\ = 54 \: \: \: \: \: [/tex]

We have the final answer as

Hope this helps you

Answer:

The answer is 54 units squared

Step-by-step explanation:

This is because this triangle is made up of two triangles. The smaller one is an isosceles triangle, meaning all sides are the same length. Sense all sides are the same length each side = 6 units squared. You subtract 6 from 18 to get the length of the other triangles side.

From there you multiply each side as if it were a square, then divide both answers by two (because two triangles make up a square). Add them up and then Ta-daa! 54!

Answer:

19

Step-by-step explanation:

Simplify the following:

35/5 + 3 (30 - 3^3 + 1)

The gcd of 35 and 5 is 5, so 35/5 = (5×7)/(5×1) = 5/5×7 = 7:

7 + 3 (30 - 3^3 + 1)

3^3 = 3×3^2:

7 + 3 (30 - 3×3^2 + 1)

3^2 = 9:

7 + 3 (30 - 3×9 + 1)

3×9 = 27:

7 + 3 (30 - 27 + 1)

30 + 1 = 31:

7 + 3 31 - 27

| 2 | 11

| 3 | 1

- | 2 | 7

| 0 | 4:

7 + 3×4

3×4 = 12:

7 + 12

7 + 12 = 19:

Answer: 19

Answer:

10 x 10 is a a sum because by multiply 10 10 times you get 100 as your sum/PS:10 x 10 also equals 10 sqart(2)

Answer:

[tex]m=\frac{-8}{3}[/tex]

Step-by-step explanation:

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

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{-5-3}{1-(-2)}[/tex]

[tex]m=\frac{-8}{1+2}[/tex]

[tex]m=\frac{-8}{3}[/tex]

Parallel lines have the same slope.

Answer:

(3x + 5)(2x - 3) = 6x² + x - 15

Step-by-step explanation:

To find the product of two binomials, we could use the FOIL method.

First

Outer (Outside)

Inner (Inside)

Last

(3x + 5)(2x - 3) = (3x)(2x) + (3x)(-3) + (5)(2x) + (5)(-3) = 6x² - 9x + 10x - 15 = 6x² + x - 15

So the product of the two binomials would be 6x² + x - 15.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

10y° = 130°

(4x - 22)° = 50°

(7x + 4)° = 130°

(3y + 11)° = 50°

Step-by-step explanation:

From the picture attached,

Two lines are intersecting each other at a pint making two pairs of vertical angles.

By definition, pair of vertical angles are equal in measure.

10y° = (7x + 4)° [Vertical angles]

-7x + 10y = 4 -----(1)

(3y + 11)° = (4x - 22)° [Vertical angles]

-4x + 3y = -33 ------(2)

[Equation (1) × 3] - [Equation (2) × 10]

(-21x + 30y) - (-40x + 30y) = 12 + 330

-21x + 40x = 342

19x = 342

x = [tex]\frac{342}{19}=18[/tex]

From equation (1),

-7(18) + 10y = 4

-126 + 10y = 4

10y = 130

y = 13

Therefore, 10y° = 130°

(4x - 22)° = 50°

(7x + 4)° = 130°

(3y + 11)° = 50°

Answer:b and c

Step-by-step explanation:

Step-by-step explanation:

Simplifying

(2a2b4z)(6a3b2z5)

Remove parenthesis around (2a2b4z)

2a2b4z(6a3b2z5)

Remove parenthesis around (6a3b2z5)

2a2b4z * 6a3b2z5

Reorder the terms for easier multiplication:

2 * 6a2b4z * a3b2z5

Multiply 2 * 6

12a2b4z * a3b2z5

Multiply a2b4z * a3b2z5

12a5b6z6

Answer:     395

                 0.15x+350

Step-by-step explanation:

Answer:

x= -4

Step-by-step explanation:

1. Expand the brackets (multiply everything inside by the number outside):

5x + 15= 2x + 3

2. Move all of the x terms to one side and all of the number terms to the other:

Subtract 2x from both sides

5x-2x + 15= 2x-2x + 3

3x + 15= 3

Subtract 15 from both sides

3x + 15- 15= 3 - 15

3x= -12

3. Solve for x:

x= -12/3

x= -4

1000^2 = 100000 the smallest 7 digit perfect square

(1000-1)^2 = 999^2 =998001

Answer:

Addition of the opposite

Step-by-step explanation:

You are adding a negative number to the original (11) and that number you are adding ir the opposite of the first one, so the process will result in a zero (neutral element of the addition)

Step-by-step explanation:

let x be the missing side length.We know that hypotenuse is 2x because x is opposite the 30 angle.

Using pythagorean theorem we have that x^2+9^2=(2x)^2

81=4x^2-x^2

81=3x^2

x^2=81/3=27

x=√27

so the missing side is √27

Answer:

t=10

Step-by-step explanation:

t+14=24

 -14   -14

t=10

Answer:

t = 10

Step-by-step explanation:

t + 14 =24

Subtract 14 from both sides:

t = 10

Check your work by substitution:

10 + 14 = 24

24=24

t = 10

Answer:

The answer is:

u = 7

Step-by-step explanation:

7 x 1 = 7

7 x u = 7u

So..

u = 7

Answer:

1. The independent variable is a and the dependent variable is m

2. The domain is discrete

Step-by-step explanation:

let us explain the difference between discrete or continuous domains

Discrete domain: It is a set of input values that consists of only certain numbers in an interval.

Continuous domain: It is a set of input values that consists of all numbers in an interval.

In the question

m = 3a, where

m is the amount of money m in dollars

Each customer can buy a maximum of three apps

1.

∵ m is depended on the value of 3a

∴ m is the dependent variable ⇒ (output)

∴ a is the independent variable ⇒ (input)

∴ The independent variable is a and the dependent variable is m

2.

∵ The domain the input values

∴ Each customer can buy a maximum of three apps

→ That means it is a certain numbers

∴ The domain is discrete

Answer:

Honda made 32 cars

Step-by-step explanation:

Total no. of cars = 60

car made by ford = 3/10 of total no of cars

car made by ford = 3/10 of 60 = 3/10* 60 = 18

car made by General Motors = 1/6of total no of cars

car made by General Motors = 1/6 of 60 = 1/6* 60 = 10

No of cars made by Honda = Total no. of cars - car made by ford - car made by General Motors

No of cars made by Honda = 60 - 18 - 10 = 32

In this lot, Honda made 32 cars.

Answer:

I think its b because is says loosing 1/4 lbs each week. That would be subtraction. The others are adding.

The equation that represents two Gorillas weighing the same is,

B. 135 + (1/2)x = 143 - (1/4)x.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A mountain gorilla weighs 135 pounds and is gaining 1/2 pound each week and an eastern gorilla weighs 145 pounds and is losing 1/4 pound each week.

The weights of the two Gorillas will be the same when we'll equate their individual equations which is,

135 + (1/2)x = 143 - (1/4)x.

Solving for 'x' would give us the number of weeks required for two Gorillas

to weigh the same.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

Answer:

0.946 liters

Step-by-step explanation:

since the fourth decimal place is below 5, you would not round up the thousandths. also, the thousandths is the third decimal place (tenths, hundredths, thousandths).

where are the coorordinates at?

Answer:

The correct options are;

1) The mean (average) score for each class is the SAME

2) The variance of Class B is 159.14

3) Class B has a greater spread

4) Based on the data A score of 8 is more likely in class B than in class A

Step-by-step explanation:

The given data are;

For the 1st period (Class A), we have

The mean, μ = (10 + 15 + 20 + 25 + 30 + 35 + 40)/7 = 175/7 = 25

The standard deviation σ, is given as follows;

[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}}[/tex]

Where;

N = The number population size = 7

[tex]x_i[/tex] = The individual data values

Solving using Microsoft Excel formula STDEV.P gives, σ = 10

[tex]\sigma _A[/tex] ≈ 10

The variance = σ² = 10² = 100

For the 2nd period (Class B), we have

The mean, μ = (7 + 12 + 17 + 25 + 33 + 38 + 43)/7 = 175/7 = 25

The standard deviation σ, is given as follows;

[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{N}}[/tex]

Where;

N = The number population size = 7

[tex]x_i[/tex] = The individual data values

Solving using Microsoft Excel formula STDEV.P gives, [tex]\sigma _B[/tex] ≈ 12.615

[tex]\sigma _B[/tex] ≈ 12.615 > [tex]\sigma _A[/tex] ≈ 10, class B has greater spread

The variance = σ² = 12.615² ≈ 159.14

A score of 8 is more likely in class B than in class A due to the availability of data before and after the a score of 8

Answer:

t= -1.333

Step-by-step explanation:

Answer:

Answer included in photo.

Step-by-step explanation:

Answer:

4.32 × 10⁻⁶

Step-by-step explanation:

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Answer:

the answer is A hope this helped

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

2(x – 2) + 6 = 0

~Distribute left side

2x - 4 + 6 = 0

~Combine like terms

2x + 2 = 0

~Subtract 2 to both sides

2x = -2

~Divide 2 to both sides

x = -1

Best of Luck!