- B is the midpoint of line segment AC. If AB = 3x - 8 and BC = x + 12, find the value of x.

Answer:

The answer is below

Step-by-step explanation:

a)

1/4x + 5/2x - 2 = 4 - 1/4x

collecting like terms:

(1/4)x + (5/2)x + (1/4)x = 4 + 2

3x = 6

x = 6/3

x = 2

b)

7.9x + x + 4 = -1.1x - 16

collecting like terms:

7.9x + x + 1.1x  = - 16 - 4

10x = -20

x = -2

c)

3.2x + 5.7 = -2.5x

collecting like terms:

3.2x + 2.5x = 5.7

5.7x = 5.7

x = 1

d)

10.1x - 1.6x + 44 = -7

collecting like terms:

10.1x - 1.6x = -7 - 44

8.5x = -51

x = -6

Hence the equations in increasing order of the value of their solutions is:

10.1x - 1.6x + 44 = -7

7.9x + x + 4 = -1.1x - 16

3.2x + 5.7 = -2.5x

1/4x + 5/2x - 2 = 4 - 1/4x

Answer:

D

Step-by-step explanation:

8 divided by 3 = 8/3

Answer:

2nd one

Step-by-step explanation:

y=16x+8

Answer:

b

Step-by-step explanation:

Answer:

A. Sugar was central to people’s daily lives, work, and economy.

Step-by-step explanation:

Slavery was abolished in the British Empire in 1833, thirty years before the Emancipation Proclamation in the United States. But even after they freed their slaves, the sugar plantation owners were desperate to find cheap labor to cut cane and process sugar. So the British owners looked to another part of the empire—India—and recruited thousands of men and women, who were given five-year contracts and a passage back.

so that means

My great-grandparents had come from India to Guyana—then British Guiana—in the late nineteenth century to work on the sugar plantations. Sugar was the backbone of the British Empire at that time. The demand was huge, for sugar had gone from being a luxury that only kings could afford to a necessity. Even the poorest of London shopgirls took sugar in their tea.

Answer:

j = [tex]\frac{2k+3}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5j-3}{2}[/tex] = k ( multiply both sides by 2 to clear the fraction )

5j - 3 = 2k ( add 3 to both sides )

5j = 2k + 3 ( divide both sides by 5 )

j = [tex]\frac{2k+3}{5}[/tex]

Answer:

No, they are not inverses.

Step-by-step explanation:

To find out if this are inverses we will have to switch the x and y in one of the equations. Let's do it with the second equation:

(Remember that f(x)/g(x) and y are virtually the same)

y = -4x + 2

Switch x and y

x = -4y + 2

Now solve for y

x - 2 = -4y

[tex]-\frac{x}{4} + \frac{2}{4} = y\\-\frac{x}{4} + \frac{1}{2} = y[/tex]

Therefore, the 2 functions in the question are not inverses of each other because the actual inverse has a negative in front of the -x/4.

I hope this helps!!

- Kay :)

Answer:

5 3/4

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

5 3/4

Step-by-step explanation:'

adding a negative number is just subtracting

Answer:

35

Step-by-step explanation:

Answer:

[tex]\frac{49}{60}[/tex]

We can conclude that, both of them have eaten almost the complete bag of Tootsie rolls

Step-by-step explanation:

Given that:

Fraction of Tootsie rolls eaten by Jaxton = [tex]\frac{3}{5}[/tex]

Fraction of Tootsie rolls eaten by Drake = [tex]\frac{5}{12}[/tex]

Here, we have to use the Benchmark fractions to estimate what fraction of tootsie roll bags was eaten by Jaxton and Drake.

First of all, let us add the given two fractions to find the total amount of Tootsie rolls eaten by both of them together.

Total Tootsie rolls eaten by both of them =

[tex]\dfrac{3}{5} + \dfrac{5}{12}\\\\\text{Taking LCM of denominator i.e. 5 and 12 = 60}\\\Rightarrow \dfrac{3\times 12 + 5\times 5}{60}\\\Rightarrow \dfrac{49}{60}[/tex]

The most commonly used benchmark fractions are 0, [tex]\frac{1}{2}[/tex] and 1.

Here, with the fraction we can write our benchmark fractions as:

[tex]\dfrac{0}{60}, \dfrac{30}{60}, \dfrac{60}{60}[/tex]

We can see that, [tex]\frac{49}{60}[/tex] is near to [tex]\frac{60}{60}[/tex].

Therefore, we can conclude that, both of them have eaten almost the complete bag of Tootsie rolls.

Answer:

6.325,6.38,6.4,6.42

Answer:

28

Step-by-step explanation:

The ratio of shots made to shots total is 7:15. Now since we don't know the shots made from 60 total shots, we can set the ratio as x:60. Since 15 goes into 60 4 times, we can multiply both parts of the ratio by 4 to get 28:60.

Answer:

a carrot

Step-by-step explanation:

(-4)^2+6÷(3+4)(2)-5? x 2 +1(2) x 8 equals carrot

Answer:

Mario odyssey

Step-by-step explanation:

Answer: 2

Work: I just did 20 times .10 (You do .10 because everytime you multiply by any percent, you move the decimal back two spots). And after doing the multiplication, I got 2

I hope this helps, and Happy Holidays! :)

The mean of the data is 6.25. Then the mean absolute deviation of the data will be 1.75.

It is the average distance between each data point and the mean. Then the mean absolute deviation is given as,

[tex]\rm MAD = \dfrac{\Sigma _{i = 1}^n|x_i - \mu|}{n}[/tex]

The data is given below.

6, 2, 8, 4, 8, 6, 8, 8

The mean of the data will be given as,

μ = (6 + 2 + 8 + 4 + 8 + 6 + 8 + 8) / 7

μ = 50/8

μ = 6.25

Then the mean absolute deviation of the data will be given as,

MAD = (|6 - 6.25| + |2 - 6.25| + |8 - 6.25| + .... + |8 - 6.25|) / 8

MAD = (0.25 + 4.25 + 1.75 + 2.25 + 1.75 + 0.25 + 1.75 + 1.75) / 8

MAD = 14 / 8

MAD = 1.75

More about the mean absolute deviation link is given below.

https://brainly.com/question/10258446

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Answer:

86 calories per pound

Step-by-step explanation:

516/6 = 86

There are 86 calories in one pound of ice cream

Answer:

D

Step-by-step explanation:

Boom

Answer:

$2.50

Step-by-step explanation:

6…=15

1…=15/6

2.50

Answer:

Step-by-step explanation:

Answer:

please help help me me my question

Answer:

Hi I hope you have a wonderful day!!

Step-by-step explanation:

I hope this makes your day :))!

Answer:

-212

Step-by-step explanation:

This question seems to be incrementing by steps of -4, starting at -8.  To get the 52'nd term, we can simply start at the first term and add that -4 51 more times.

Assuming that negative eight is the first term then, we get:

-8 - 4 * 51

= -8 - 204

= -212

The 52nd term of the sequence will be -212.

A sequence of events or things is a number of events or things that come one after another in a particular order.

Given a sequence, -8, -12, -16,...

nth term of a sequence is given by

an = a + (n-1)*d

a(-212) = -8 + (52-1)*-4

a(-212) = -8-204

a(-212) = -212

Hence, The 52nd term of the sequence will be -212.

For more references on sequences, click;

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Answer:

AB = 4

[tex]m\angle E=30^\circ[/tex]

Step-by-step explanation:

Similar shapes

Two figures are similar if the ratios of the lengths of their corresponding sides are equal. The corresponding angles are also congruent.

Being ABCD and EFGH similar, the ratio of the lengths of AB and EF is equal to the ratio of the lengths of AD and EH, thus:

[tex]\displaystyle \frac{AB}{EF}=\frac{AD}{EH}[/tex]

Solving for AB:

[tex]\displaystyle AB=\frac{AD}{EH}\cdot EF[/tex]

Since AD=6, EH=1.5, and EF=1:

[tex]\displaystyle AB=\frac{6}{1.5}\cdot 1[/tex]

AB = 4

Since angle A is congruent to angle E:

[tex]m\angle E=m\angle A[/tex]

[tex]\mathbf{m\angle E=30^\circ}[/tex]

Answer:

Markup: $1.40

New price: $8.40

Step-by-step explanation:

20% of $7.00 is $1.40

$1.40 + $7.00 is $8.40

Answer:

Step-by-step explanation:

slope is the diference in y over the difrevce in x

m= (y2-y1) / (x2-x1) = (5-2) / (0-1) = 3 / -1  = - (3/1)

Tip:

keep in mind that you can start with any point you want as long as you do the same order for x and y.

For example both of those are correct

m = (5-2) / (0-1) = 3 / -1  = - (3/1)

m = ( 2-5)/ (1-0) = -3/1 = -(3/1)

Answer:

$13.77 per person in the family

Step-by-step explanation:

Cost of the meal = $54.65

Sales tax rate = 8%

Sales tax amount = 8% of $54.65

= 8/100 × 54.65

= 0.08 × 54.65

= $4.372

Tip = 18% of $54.65

= 18/100 × 54.65

= 0.18 × 54.65

= $9.837

Total cost of the dinner = Cost of the meal + Sales tax amount + Tip

= $54.65 + $4.372 + $9.837

= $68.859

There are 5 people in the Holcombe family

What was the cost per person for the meal, including sales tax and tip?

cost per person for the meal, including sales tax and tip = Total cost of the dinner / total number of people in the family

= $68.859 / 5

= $13.7718

Approximately

$13.77 per person in the family

Answer:

From the graph, it is clear that

at x = 1, the value of y=2

Therefore,

B(1) = 2, hence option 'C' is true.

Step-by-step explanation:

Given that the graph is associated with the function B.

From the graph, it is clear that

at x = 1, the value of y=2

In other words,

Therefore,

B(1) = 2, hence option 'C' is true.

Answer:

78

Step-by-step explanation:

The difference is 30, which means that 4:9 is equal to 4x:9x, and the difference is 5x. x = 6, so 4x + 9x = 24 + 54 = 78

The expression that equals 2B + 2C in standard form of equation  is.

  [tex]4x^2 + 8x +16[/tex]

Calculations

2 (3x - 1) + 2 (2x^2 + x + 9)

6x - 2 + 4x^2 +2x + 18

[tex]4x^2 + 8x +16[/tex]

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is rather simple (x and y). When attempting to solve systems involving two linear equations, this form is also quite helpful.

Standard form refers to any number that may be expressed as a decimal number between 1.0 and 10.0 when multiplied by a power of 10.

To learn more about standard form of a equation from the given link:

brainly.com/question/12452575

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