URGENT!

B is the midpoint of line segment AC. If AB = 4x + 1 and AC = 5x + 20, find the length of BC.

Answer:

3 3/10

Step-by-step explanation:

Step 1: Convert 2 4/5 to improper

2 4/5 = 14/5

Step 2: Rewrite

14/5 + 1/2

Step 3: Find common denominator

14/5(2/2) + 1/2(5/5)

28/10 + 5/10

Step 4: Add

33/10

Step 5: Simplify

3 3/10

Answer:

3 3/10

Explanation:

2 4/5 + 1/2           [change 2 4/5 to an improper fraction]

14/5 + 1/2             [make both fractions have a common denominator]

28/10 + 5/10         [add the numerators, leave the denominator the same]

33/10                    [change back into mixed number]

3 3/10

Answer:

4

Step-by-step explanation:

24÷(-4)+(-2)·(-5)

-6+(-2)·(-5)

-6+10

4

Answer:

Step-by-step explanation:

(3g - 7)/k = p

3g - 7 = pk

3g = pk + 7

g = (pk + 7)/3

Answer:

Step-by-step explanation:

From least to greatest: -10, -3, +1. From greatest to least: +1, -3, -10.

1st way: Just look at it.

2nd way: See which numbers are to the left of 0 on the number line. Those are your smaller (negative) numbers. The numbers that are on the right side of 0 are your bigger (positive) numbers.

Answer:

Order by value: On a number line, the integers to the left are less than the integers to the right. Order by magnitude: On a number line, the integers farther from zero have a greater magnitude. Least to greatest value: –10, –3, +1. Least to greatest magnitude: +1, –3, –10.

Step-by-step explanation:

Which did you include in your response? Check all that apply.

You can order by value.

You can order by magnitude.

Ordering from least to greatest value, the list is –10, –3, +1.

Ordering from least to greatest magnitude, the list is +1, –3, –10.

Answer:

10

Step-by-step explanation:

Absolute value stands for how far away a number is from 0 on the number line. In this case it is 10 jumps away or 10. Not negative 10 because that wont make sense.

Answer:

10

Step-by-step explanation:

The lines around -10 are basically asking how far the number inside is from 0. This goes for any number, negative or positive.

Knowing that information, just ask yourself what's 10-0?

10.

Answer:

Hey there!

7-1-299-689+478*84588

7-1-299-689+40433064

40432082

Let me know if this helps :)

Answer:

40432082

Step-by-step explanation:

hopefully this helps

Answer:

[tex]f^{-1}(x)=\frac{x+1}{6}[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=6x-1[/tex]

To find the inverse function, switch x and f(x), change f(x) to f⁻¹(x), and solve for f⁻¹(x). Therefore:

[tex]f(x)=6x-1[/tex]

Switch:

[tex]x=6f^{-1}(x)-1[/tex]

Add 1 to both sides:

[tex]x+1=6f^{-1}(x)[/tex]

Divide both sides by 6:

[tex]f^{-1}(x)=\frac{x+1}{6}[/tex]

And that's our answer :)

Answer:

5x^4+3x^3-8x^2+3x-11

Step-by-step explanation:

(5x^4+ 3x^3 - 6) - (8x^2 – 3x+5)

Distribute the minus sign

(5x^4+ 3x^3 - 6) - 8x^2 + 3x-5

Combine like terms

5x^4+3x^3-8x^2+3x-11

Answer:

5x4 + 3x3 - 8x2 + 3x - 11

Step-by-step explanation:

(5x4 + 3x3 - 6) - (8x2 - 3x + 5)

Combine like terms:

-6 - 5 = -11

Put in order:

5x4 + 3x3 - 8x2 + 3x - 11

Hope this helps

Answer:

$94.5

Step-by-step explanation:

What is 80% MORE than $52.50?

just multiply $52.50 by 1.80 = $94.5

why multiply by 1.80? ---- because we are adding 80% of 52.5 + the original price... that is why its 1.80.

Answer: 0.35km per minute

Step-by-step explanation:

Divide by 60 because it was in "km per HOUR".

Answer:

length=16 and width = 8

Step-by-step explanation:

p= 2(length + width) ........ p= 48 m

width=length-8

48=2(length + length -8)

48= 2(2length -8)

48= 4 length-16

48 +16 = 4 length

[tex] \frac{64}{4} = length [/tex]

length =16

Width = length - 8

width = 16 - 8

width = 8

Hope u like it

For any question comment me

Answer:

[tex]231[/tex]

Step-by-step explanation:

[tex]3 + jk + k {}^{3} = 3 + 2(6) + 6 {}^{3} = 3 + 12 + 216 = 231 [/tex]

Answer:

Step-by-step explanation:

[tex]3+jk+k^3\\\\j = 2\\k=6\\\\3+ 2(6) + 6^3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:exponents}\:6^3\::\quad 216\\=3+2\left(6\right)+216\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:2\left(6\right)\::\quad 12\\=3+12+216\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:3+12+216\:\\:\quad 231[/tex]

Answer:

Step-by-step explanation:

-12+(-63)

=-12 - 63

= - 75

Hope this helps.. Good luck :)

Answer:

Step-by-step explanation:

(d - 8)/5 = p

d - 8 = 5p

d = 5p + 8

Greetings from Brasil...

According to the statement of the question, we can assemble the following system of equation

X = 7 + 3Y i

X + Y = 75 ii

So, multiplying ii by -1 and adding with i

X = 7 + 3Y

- X - Y = - 75

- Y = 7 + 3Y - 75

4Y = 68

Y = 17

for X we will use ii:

X + Y = 75

X + 17 = 75

X = 58

The smaller number is: 17

Answer:

(3,-3)

Step-by-step explanation:

First you divide 2 out of the first equation and it turns into 5x+y=12.

Then you write one on top of the other so you can add them. It looks like:

5x + y = 12

-5x + y = -18

Then you add them together and the 5x's cancel each other out and you are left with 2y = -6

So then you divide both sides by 2 and get y = -3

Then you plug -3 into the second equation because it is simpler and get -5x - 3 = -18

So then you add three to both sides and get -5x = -15

And finally you divide both sides by -5 and get x=3

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{4x}{(x + 2)(x - 2)}}}}}} [/tex]

Step-by-step explanation:

[tex] \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{ {x}^{2} + 4} }[/tex]

Use the formula of a² - b² = ( a + b ) ( a - b )

[tex] \longrightarrow{ \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{ {x}^{2} + {2}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \frac{1}{x + 2} + \frac{1}{x - 2} + \frac{2x}{(x + 2)(x - 2)}}} [/tex]

[tex] \longrightarrow{ \sf{ \frac{x - \cancel{2} + x + \cancel{ 2} + 2x}{(x + 2)(x -2 )} }}[/tex]

[tex] \longrightarrow{ \sf{ \frac{4x}{(x + 2)(x - 2)}} } [/tex]

Hope I helped!

Best regards! :D

Answer:

1. Cardinal Number

2. Ordinal number

3. Integer

4. Counting Number

5. Fraction

6. Base

7. Exponent

8. Factor

9. Prime factor

Step-by-step explanation:

A cardinal number is a number denoting quantity.

Ordinal numbers denote position, like first and second.

Integers are all whole numbers that are negative, and positive. It also includes 0.

Counting numbers are only positive integers.

Fractions always consist of a numerator and denominator.

Bases are always the number below the superscript of an exponent

Exponents are always the superscript of an exponent, such as 9^3. 3 would be the exponent.

A factor is a number that evenly divides into another number. For example, 2 and 4 are factors of the number 8.

Prime factors are factors of a number that are prime. Prime numbers are numbers that have the factors as themselves and the number 1. One example of a prime factor is 3. When given the number 9, 3 is a prime number, and factor of 9.

Answer:

1000 millimeters

Step-by-step explanation:

Its the shortest one

Answer:

22cm and 16 1/2 cm is the answer

Write the ratio as a fraction and multiply with each dimension

If a photograph is 8cm by 6cm, the new dimensions after enlarging the photograph by a ratio of 11:4 would be: 22 cm by 16.5 cm.

Given the following measurement of a photograph:

To enlarge the photograph using a scale factor of 11:4 (11/4), multiply the scale factor by each of the dimensions.

Thus:

Therefore, if a photograph is 8cm by 6cm, the new dimensions after enlarging the photograph by a ratio of 11:4 would be: 22 cm by 16.5 cm.

Learn more here:

https://brainly.com/question/14248094

Answer:

34 units

Step-by-step explanation:

Given a rectangle TREC, with RC and ET being the diagonal both intersecting at the middle, then the following are true;

Let O be the point of intersection of RC and ET;

RO+OC = RC

Given the distance from point R to the middle as 2 x - 3, then RO = 2x-3 and if the distance from the middle point to point C is x + 7, then OC = x+7

Since they intersect in the middle, RO = OC

2x-3 = x+7

Collect like terms

2x-x = 7+3

x = 10

RO = 2x-3

RO = 2(10)-3

RO = 17

since RO = OC, then OC = 17units

Note that both diagonal RC and ET inyetsect at the middle O hence diagonal RC = ET = RO+OC

RC = ET = 17+17

RC = ET = 34units

Hence the length of ET is 34 units

Answer:

34 units

Step-by-step explanation:

EDGE 2020-2021

Answer: (-3.5 + (-1.5))

Step-by-step explanation:

Given the expression :

The temperature in the morning was -3.5 °F. By noon, the temperature had dropped by 1.5 °F. Write an addition expression to represent this scenario.

Morning temperature : - 3.5°F

By Noon : change (drop) in temperature

Addition expression to represent the scenario :

A drop in temperature means a further reduction in the initial temperature level :

Addition expression :

(Morning temperature + ( - drop in temperature))

(-3.5 + (-1.5))

Answer:

  6 servings

Step-by-step explanation:

To find the number of servings, divide the total amount by the quantity per serving.

You can compute this using a calculator:

  5.333/0.875 ≈ 6.095 ≈ 6 servings

__

Or, you can do the mixed-number math:

  (5 1/3)/(7/8) = (16/3)(8/7) = 128/21 = 6 2/21 ≈ 6

There were 6 servings in the container.

Answer:

6

Step-by-step explanation:

6 is the answer.

Answer:

12

Step-by-step explanation:

Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)

From the box plot given, the first quartile is located at the beginning of the edge of the rectangular box = 73,

the third quartile is located at the other edge of the rectangular box to your right = 85

[tex] IQR = 85 - 73 = 12 [/tex]

Answer: 11u^3+2u^2−7u+15

Step-by-step explanation: Hope this helps.

Answer:

[tex]\frac{1}{26}[/tex] inches

Step-by-step explanation:

In order to solve this problem, we need to create a ratio.

Since we're looking for the rate per hour, we need to find how long it is from 10pm to 7:45am.

10pm + 2 hours = 12 AM

12 AM + 7.75 hours = 7:45 AM

So in total, it's 9.75 hours.

[tex]\frac{3}{8}[/tex] is the same as 0.375.

Our fraction will become [tex]\frac{0.375}{9.75}[/tex], which can simplify down to [tex]\frac{1}{26}[/tex].

Now we can create the proportion:

[tex]\frac{1}{26}=\frac{x}{1}[/tex]

Now we solve for x by cross multiplying.

[tex]1\cdot1=1\\\\1\div26=\frac{1}{26}[/tex]

Hope this helped!

Answer:

The land not made up of farmland = 5 million acres

Step-by-step explanation:

Number of farms in Nebraska = 48000

Total acres of land used by Nebraska = 45 million acres

Total of the state covered = [tex]\frac{9}{10}[/tex] of the state

To find:

How many acres are not made up of farmland ?

Solution:

Given that [tex]\frac{9}{10}[/tex] of the state is covered by the farmland.

Total area in farmland = 45 million acres

It means that, Rest of the land is not made up of farmland.

First of all, let us calculate the total land of Nebraska then we will subtract the farmland from total, to find the land not made up of farmland.

That will be our answer.

Let the total land be = [tex]x[/tex] million acres.

As per the question statement:

[tex]\frac{9}{10}\ of\ x = 45\ million\ acres[/tex]

OR

[tex]\dfrac{9}{10}\times x =45\\\Rightarrow x = \dfrac{45\times 10}{9}\\\Rightarrow x = 50\ million\ acres[/tex]

Therefore, the land not made up of farmland = [tex]x[/tex] - 45 = 50 -45

5 million acres

Answer:

Step-by-step explanation:

4b - 16b + 12 = 48

-12b + 12 = 48

-12b = 36

b = -3

This is not a function. The input 7 in set A maps to outputs -1 and -3 at the same time in set B, which is why we don't have a function.

For a function to be possible, each input must map to exactly one output only.