What expressions are equivalent to 10^-5x10^2

Answer:3/12 is greater

Step-by-step explanation:

Since 3/12 and 2/9 have different denominators, you need to find the Least Common Multiple (LCM) of the denominators and then multiply the top and bottom of each fraction by the number of times the denominator goes into the LCM.

According to my calculations, the LCM of the two denominators is 36. Therefore, since 12 goes into 36 a total of 3 times, you would multiply the top and bottom of the first fraction by 3. And since 9 goes into 36 a total of 4 times, you would multiply the top and bottom of the second fraction by 4.

Step #2: Now that the denominators are the same, you can simply compare the numerators to determine which fraction is greater. Since 9 is greater than 8, 9/36 is greater than 8/36. Therefore the 1st entry (3/12) is greater than the 2nd entry (2/9).

Answer

yes triangle ABC is equal to triangle ADE

Step-by-step explanation:

x=46 cm, I got this after simplifying the equation of triangle ABC, x+4+x-4+x=138 cm, so this equation simplifies to 3x as +4-4 cancels out and there're 3 x's, so divide 138 by 3 and you get 46 cm, so AB is 50 cm, BC is 42 cm, and AC is 46 cm, this means EA is equal to EC, now here come a property of equality, EC attaches 2 parallel lines, as does DB, this means these 2 lines are transversals, so a number of angles are equal as well, corresponding angles are congruent, a.k.a equal to each other along with alternate interior angles, so since line DB AND line EC are transversals, we can deduce angle ADE is congruent to angle ABC, and angle DEA is equal to ACB, this mean we have 2 congruent angles, and 1 congruent set of sides, this mean that the 2 triangles are congruent due to Angle Angle Side, if your teacher doesn't use these terms, look it up, but the answer in short is yes, they are congruent or equal

We proved that ABC = triangle ADE by the concept of vertically opposite angles and given perimeter.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

We know when a transversal intersects two parallel lines vertically opposite angles are equal hence DE ≅ CB.

Given, (x + 4) + x + (x - 4) = 138.

3x = 138.

x = 46.

Now, BC = ED = (46 - 4) = 42 cm.

Assuming DA to be y.

∴ 46 + 42 + y = 138.

y = 50

And AB = x + 4 = 50 hence proving triangle ABC = triangle ADE.

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Answer:

here is a hint

Step-by-step explanation:

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

For linear equation,

Compare slope of an equation and slope of a line on graph and compare y-intercepts.

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

Therefore, compare slope of an equation and slope of a line on graph and compare y-intercepts.

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Answer:

x = 2

Step-by-step explanation:

x = 4 is the equation of a vertical line parallel to the y- axis

A line parallel to it must also be a vertical line with equation

x = c ( c is a constant )

The only equation of this form is

x = 2 ← parallel to x = 4

Answer:40 miles

Step-by-step explanation:

5*4=20

20*2=40

Answer:

40 miles

Step by Step Explanation:

Each 1/4 of an hour is 15 minutes. 2 hours is 120 minutes, so you divide 120 by 15, which gives you 8. You multiply 8 times the 5 miles , and you get 40 miles. :)

Answer: On Monday, Heather had 32 hats.

Step-by-step explanation: After Heather bought six hats on Tuesday, she had double the amount of 19, since half of her hats were destroyed on Wednesday resulting in 19 left. Double of 19 is 38 hats, meaning she had 38 after she bought six on Tuesday. That means on Monday she had 38 - 6 = 32.

Answer:

8 gallons left

Step-by-step explanation:

0.75 times 4=3

11-3=8

hope this helps :)

Answer:

1. -15

2. 3

3. -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image.

5. -45, This change represents that achieving the goal will reduced the time by 45 seconds.

Step-by-step explanation:

Given that it is a 5 kilometre race.

Time to be reduced each month = 15 seconds

Total number of months left in the race = 3

1. Riley wants to achieve each month a decrease of 15 seconds.

Integer representing the change = -15

2. Change in time i.e. 3 months is represented by integer 3.

3. There are a total of 3 months and there is a decrease of 15 every month.

so, multiplication expression is: -15 [tex]\times[/tex] 3

4. Kindly refer to the attached image for the number line representation of the answer.

The arrow is from 0 to -45.

5. Total change in time is -45.

This change represents that achieving the goal will reduced the time by 45 seconds.

Answer:

k

Step-by-step explanation:

Answer: No real solutions.

Step-by-step explanation:

Answer:

2,391 paid altogether. The interest Rate was another 391 dollars.

Step-by-step explanation:

Answer:c: 28

Step-by-step explanation:

x-5 = -9

add 5 to both sides

x = -4

Answer:

x = - 4

Step-by-step explanation:

x - 5 = -9

=> x = -9 + 5

=> x = - 4

Answer:

[tex]3(x - 4) = - 3 \\ 3x + 12 = - 3 \\ 3x = - 15 \\ x = - 5[/tex]

Firstly, multiply the number and variable in the perenthesis. Then move the variable on it's own side of the equation. The simplify.

Answer:

You need to do the Distributive Property. This means multiplying the number outside the parenthesis to each number inside.

Step-by-step explanation:

3(x)=3x

3(-4)=-12

3x+-12=-3

then evaluate using inverse operations to get x=3

Answer:

The angle would be 123°.

Answer:

1) M(x) = 5 + 3x

2) Dependent variable; 3 dollar bills

Independent variable: chores

3) Range is continuous

Domain is discrete

4) Range: 0 ≤ x ≤ 10

Domain: 5 ≤ M ≤ 35

Step-by-step explanation:

We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.

Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;

M(x) = 5 + 3x

After 10 weeks, total number is;

M(10) = 5 + 3(10)

M(10) = 35

The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.

After 10 weeks, the range and domain will be;

Range: 0 ≤ x ≤ 10

For the; Domain:

For x = 1, M(0) = 5 + 3(0) = 5

M(10) = 35

Thus;

Domain: 5 ≤ M ≤ 35

The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.

Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.

Answer: Undefined or 0

Step-by-step explanation: Y=3 means there would just be a straight line across on (0,3) and when the slope and rise is 0 it means there is no slope or it is undefined

Answer:

It is a vertical line

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(1 - 9) / (-7 + 7)

-8/0

= undefined

Dividing by 0 gives you an undefined number. This means that the slope is undefined, and the line is a vertical line.

The equation of the line that passes through the points (-7,9) and (-7,1) is x = -7.

The point slope formula is represented below:

where

m = slope

Let's find slope

(-7, 9)(-7, 1)

m = 1 -9 / -7 - (-7)

m = -8 / 0 = Undefined slope.  

The slope is an undefined slope. Therefore, the line is a vertical line and cannot be written in a slope intercept or point slope form.

The equation of the line can be written as x = c.

where

c = constant

Therefore,

x = -7

The equation is  x = -7

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Answer:

Step-by-step explanation:

Volume of a sphere

The expression for the volume of a sphere is given as

V=4/3πr^3

Given that the radius is 2.3in

Substitute r= 2.3 in the expression to find the volume of the sphere

V=4/3*3.142*(2.3)^3

V=4/3*3.142*(12.167)

V=4/3*38.23

V=152.9/3

V=50.97in^3

Therefore the volume of the ornament is 50.97in^3

Answer:

Your answer is:

If you are solving to find x then your answer would have been: x = 0 , -3 , 2

If you are solving to find the x and y intercepts your answer is: ↓

x-intercept(s):  (0,0) (-3,0) (2,0)

y-intercept(s): (0,0)

If you are solving to find roots your answer is: x = 0 , -3 , 2

If you want the graph look below ↓

Step-by-step explanation:

Hope this helped : )

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

Work Shown:

8/3 = (6+2)/3

8/3 = 6/3 + 2/3

8/3 = 2 + 2/3

8/3 = 2 & 2/3

The whole part is 2. The fractional part is 2/3.

-----------

Another way you could do the problem is to use long division as shown in the diagram below.

The result of the long division is

8/3 = 2 remainder 2

The quotient 2 forms the whole part and the remainder is the numerator of the fractional part 2/3.

So that's another way to get 2 & 2/3

Answer:

[tex]y=-3x-8[/tex]

Step-by-step explanation:

Answer:

A: D and E are similar but not congruent.

Step-by-step explanation:

hope this help

Answer:

-3 is the answer because if we divide 15 by 5 we get 3 . So it is same only the question is -15 divide by 5 so the answer is -3

Answer:

The answer is A,C,D

Step-by-step explanation:

Just had the question :D

Answer:

Point C i think is: (33/8, 0)

Step-by-step explanation:

I hope this helps -w-

Answer:

5x^3- 6x^2 - 25/y + 18 / y

Step-by-step explanation:

It would be that expression over y.

Sorry if its wrong I'm still learning too:)

Answer:

The answers are

*There are four terms.

*The term -25/y is a ratio.

Step-by-step explanation:

Answer:

89/12

Step-by-step explanation:

Answer: The unit rate is 7 stickers per student!

Step-by-step explanation: This can be found by dividing the amount of stickers by the amount of students.

Hope this helps, if not, comment down below please!!!