2 1/2(x-8)=4 1/2
Help :(

Answers

Answer 1

The expression 2 1/2 (x - 8) = 4 1/2 is solved to get the value of x to be

9 4/5

How to solve the expression

The expression, 2 1/2 (x - 8) = 4 1/2 is solved be converting to decimal

2 1/2 (x - 8) = 4 1/2

2.5 (x - 8) = 4.5

expanding to remove the parenthesis

2.5x - 20 = 4.5

collecting like terms, being mindful of change of negative to positive when crossing the equality sign

2.5x = 4.5 + 20

applying addition property

2.5x = 24.5

dividing through by coefficient of  x which is 2.5

x = 24.5 / 2.5

x = 9.8

x = 9 4/5 as a mixed number

Therefore the value of x = 9 4/5

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Related Questions

Do the expressions (-2)(3) and (2)(-3) have the same value? Show your thinking .

Answers

Both expressions have the same value no matter if the number is changed.
(-x)(y) = -xy
(x)(-y) = -xy

Until this happens:
(-x)(-y) = xy
Abracadabra I think this is it

Mackenzie ha ome red, yellow and blue marble. She ha 3200 more red marble than yellow marble. She ha 3840 more blue than yellow. She give 1490 blue marble away. How many more red marble than blue marble doe he have left?

Answers

We know that there are 850 more red marbles left than blue marbles by solving equations.

What are equations?

The equals sign is used in mathematical equations to indicate that two expressions are equal.

An equation is a claim that demonstrates the equality of two mathematical expressions, according to algebra.

For instance, the word "equal" separates the formulas 3x + 5 and 14, which together form the equation 3x + 5 = 14.

So, a number of red marbles more than blue marbles is:

Mackenzie has 3200 more red than yellow marbles.
y + 3200 = r

Additionally, she has 3840 more blue than yellow marbles.

y + 3840 = b

Assume Mackenzie has one yellow marble, then.

1 + 3200 = 3201 red marbles

1 +3840 = 3841 blue marbles

She will have left over 2351 blue marbles after giving away 1490

3841 - 1490 = 2351

She now has 3201 red marbles and 2351 blue marbles.

r - b =?

3201 - 2351 = 850

Therefore, we know that there are 850 more red marbles left than blue marbles by solving equations.

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To qualify for the next marathon, a runner's time must be less than 314 hours. Indicate whether or not each runner will qualify for the next marathon.

who will qualify?

Answers

Answer:

(It's weird how I answered this question for someone else 12 minutes ago.)

There was no data provided but due to simple research i have conducted the following data

Qualifiers are in bold, italics and underlined.

Step-by-step explanations:

Chio- 3 1/5

Kevin- 3.2

Ojas- 3 8/30

Sydney- 3 13/60

Qualifiers: Chico, Kevin

let me know if this is incorrect data

A science club has 13 members. The club bought b bumper stickers to split among its members. Write an expression that shows how many bumper stickers each member will get.

Answers

Answer: b/13

Step-by-step explanation:

Divide b by 13 to get b/13

sketch the solution to each system of inequalities.
y<=-x-2
y>=-5x+2

Answers

Answer:

Where you see the colors overlap is the answer.

Step-by-step explanation:

Desmos is a free graphing calculator.

Which decimal is equivalent to 2/27

Answers

Answer:

0.07407407

Step-by-step explanation:

divide 2 by 27

Answer:

0.0740

Step-by-step explanation:

just divide 2 by 27

27. Solve and graph
-2n-5≥1 or 5n + 7 > 2
28. S

Answers

The solution to the inequality expression -2n - 5 ≥ 1 or 5n + 7 > 2 is -1 > n ≥ -3

How to determine the solution to the expression?

From the question, we have the following parameters that can be used in our computation:

-2n-5≥1 or 5n + 7 > 2

So, we have

-2n - 5 ≥ 1 or 5n + 7 > 2

Evaluate the like terms

So, we have the following representation

-2n ≥ 6 or 5n > -5

Divide both sides by the coefficient of n

This gives

n ≤ -3 or n > -1

Combine the expression

-1 > n ≥ -3

Hence. the solution is -1 > n ≥ -3

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Find an equation of the line that has a slope of -1 and a y intercept of 5. Write your answer in the form
y = mx + b.
y =

Answers

[tex]y=\stackrel{\stackrel{m}{\downarrow }}{-1}x+\underset{\underset{\textit{\small b }}{\uparrow }}{5}\implies y=-x+5\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

What 2 time 200000= because i dont know the question so can i get some help

Answers

Answer:

400000

Step-by-step explanation:

B.
5x + 2 = 2x + 14

WITH SOLUTION
i also need it rn-

Answers

5x + 2 = 2x + 14
-2x = -2x

3x + 2 = 14
- 2 -2

3x = 12
x = 4

Answer:

4

Step-by-step explanation:

5x + 2 = 2x + 14

or, 5x - 2x = 14 - 2

or, 3x = 12

or, x = 12/3

.

. . x = 4

HELP ANYONE PLEASE IT'S DUE TODAY I WAS STUCK ON THIS QUESTION

Answers

A line that goes through (0, 0) and (3.6, 14.4).

Wewant a description of the line that describes the same proportional relationship as the points given in the table:

(x, y) = (3.6, 14.4), (12.2, 48.8), (2.1, 8.4)

What is Proportional relation ?

The graph of the relation will be a straight line through points with (x, y) values from the table. A graph of a proportional relation also goes through the point (0, 0).

Of the points listed in the answer choices, only (3.6, 14.4) and (12.2, 48.8) are ones that are given in the table. This eliminates all of the answer choices except the correct one:

A line that goes through (0, 0) and (3.6, 14.4).

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If f(x)=2x+1 and g(x)=x−5, find f(x)+g(x) to complete the polynomial

Answers

Answer:

[tex]\huge\boxed{\sf 3x -4}[/tex]

Step-by-step explanation:

Given functions:f(x) = 2x + 1g(x) = x - 5

Add both equations.

f(x) + g(x):

= 2x + 1 + x - 5

Combine like terms

= 2x + x + 1 - 5

= 3x - 4

[tex]\rule[225]{225}{2}[/tex]

Answer:

f(x) + g(x) = 3x - 4

Step-by-step explanation:

The problem is,

→ f(x) + g(x)

Let's solve the problem,

→ f(x) + g(x)

→ (2x + 1) + (x - 5)

→ 2x + 1 + x - 5

→ (2x + x) + (1 - 5)

→ 3x +(-4)

→ 3x - 4

Hence, answer is 3x - 4.

Are the polygons similar? If they are, write a similarity statement and give the scale factor.


The image consists of two quadrilaterals PQSN and AGKD. The lengths of the sides PQ = 10, QS = 7.5, SN = 15, NP = 15, AG = 12, GK = 12, KD = 8 and DA = 6. Angle P is congruent to angle K. Angle S is congruent to angle A. Angle N and G are right angles.



A. no

B. yes; POSN ~ KDAG, scale factor: 5 : 4

C. yes; POSN ~ KDAG, scale factor: 4 : 5

Answers

The polygons (quadrilaterals) are similar by the congruency of three interior angles and the equal ratios (5 : 4) of  a pair of adjacent sides. The correct option is therefore

B. Yes; PQSN ~ AGKD, scale factor; 5 : 4

What are similar polygons?

Similar polygons are polygons that have the same interior angle, and proportional dimensions.

The specified parameters indicate that we have;

Polygon PQSN and AGKD are quadrilaterals

Length of sides of polygon PQSN

Length of side PQ = 10, QS = 7.5, SN = 15, NP = 15

Length of sides of polygon AGKD

AG = 12, GK = 12, KD = 8, DA = 6

The measure of the angles are;

∠K ≅∠S

∠S ≅ ∠A

∠N = ∠G = 90°

The angle sum property of a quadrilateral indicates that the measure of the fourth angle of both quadrilateral are congruent

The ratio of two adjacent sides of the quadrilaterals are;

7.5/6 and 10/8

7.5/6 = 1.25

10/8 = 1.25

Therefore;

[tex]\dfrac{7.5}{6} =\dfrac{10}{8} =1.25[/tex]

The ratio of two adjacent sides of the quadrilaterals PQSN and AGKD are therefore the same.

The three interior angles of quadrilateral PQSN are congruent to three interior angles of quadrilateral AGKD, and the ratio of two adjacent sides from each quadrilateral are the same, therefore,  quadrilaterals are PQSN is similar to quadrilateral AGKD

The scale factor of dilation from quadrilateral PQSN to AGKD is 7.5 : 6 = 15 : 12 = 5 : 4

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A furniture maker buys foam rubber x times per year. The delivery charge is a flat rate of $400 dollars per purchase regardless of how much is bought. The annual cost of storage is figured as $10,000/x, because the more frequent the purchase, the less it costs for storage. The annual cost is: C = 400x+10,000/x

A. Graph the function.
B. Find the number of purchases per year that minimizes the annual cost of delivery and storage.

Answers

Answer:

Should be B

Step-by-step explanation:

HELP

Q1: e + -10.67 + 553⅝² - e × 8⅘⁴

Q2: 95⅚⁵ + -8⅚ + 1⅜

Q3: e⁸ + ⅓² × π × π³

Q4: φ⁸ ÷ 80 - 1⅗ + -108⅔

Answers

Answer:

Step-by-step explanation:

3

Two similar triangles have perimeters in the ratio of 2:7. The smaller
triangle has sides measuring 6 inches, 7 inches, and 8 inches. How long, in
inches, is the longest side of the larger triangle?
A) 18
B) 21
C) 28
D) 56
E) 74

Answers

A)это точно правильно

Consider all positive integers that are multiples of 10 and are less than or equal to 200. What fraction of those integers are multiples of 15?.

Answers

3/10 will be the proportion of those integers that are multiples of 15. Then, C is the best choice.

Algebra: What Is It?

Mathematical branch known as algebra deals with symbols and arithmetic operations on them. These symbols are referred to as variables because they lack fixed values. We frequently observe certain values that change in our day-to-day problems. However, there is a continuing need to depict these shifting values. These values are frequently represented in algebra by symbols, which are known as variables, such as x, y, z, p, or q.

Take into account all positive numbers that are multiples of 10 and have a value lower than or equal to 200.

Let x be the quantity of positive integers that are multiples of 10. The equation then becomes

10x ≤ 200

The value of the x will then be.

x ≤ 20

Below is a list of the numbers.

Set = 20 {10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200}

The set that can be divided by 15 is

Set = 6 {30, 6,0 90, 120, 150, 180}

So, the percentage of those integers that are multiples of 15 will be

⇒ 6 / 20

⇒ 3/10

3/10 will be the proportion of those integers that are multiples of 15. Then, C is the best choice.

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Miles is shopping for a new computer. He finds a computer with an original price of $325. 00 but finds that it is 15% off. After paying a 7% sales tax, how much does miles spend on his new computer?.

Answers

Miles has to spend $295.3375 on his new computer.

Sales tax is applied to the price after the discount is applied because discounts are typically provided directly by the retailer and lower both the sales price and the money the retailer receives.

So Original price of Computer  is $325.00

Discount with computer is 15% off.

15% of $325 is (325*15)/100 = $48.75.

Price of computer after discount = 325-48.75 =$276.25

Now sales tax will be applied on this price.

7% sales tax = 0.07

amount of sales tax = 276.25*0.07 = 19.3375

Price of Computer after sales tax   = 276+19.3375 = 295.3375.

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suppose there are 6 roads connecting town a to town b and 4 roads connecting town b to town c. in how many ways can a person travel from a to c via b?

Answers

Number of ways can a person travels from A to C via B = 24 ways

How it can be calculated that a person can travel in no. of ways?

To calculate the likelihood of an event occurring, we will apply the equation number of favourable outcomes divided by total number of outcomes. We sometimes need to apply a permutation to calculate the overall number of outcomes. A permutation is a method for calculating the number of events that occur when order is important.

Given,

Connection of roads from a = 6

Connection of roads from a = 4

Number of roads from a to b =6

Number of roads from b to c =4

Number of ways can a person travels from a to c via b

= 6*4

= 24 ways

The number of ways a person can go from A to C via B is 24.

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In the following expression, both A and B are variables that can take positive values.

(A+7)*2^B

Which of these actions will cause the expression's value to increase?
Choose 2 answers:

Answers

Answer:

its 3/5 and 9/5

Step-by-step explanation:

HOPE IT HELP :D

What transformations were applied to the parent function k(x)=x| to obtain f(x)= -1/2|x+3/-1.​

Answers

Answer:

The transformations applied to the parent function k(x)=x| to obtain f(x)= -1/2|x+3/-1 are reflection in the y-axis, vertical stretching by a factor of 1/2, and a horizontal shift of 3 units to the right.

Step-by-step explanation:

To obtain f(x) from k(x), we first reflect k(x) in the y-axis, which changes the sign of the function and flips it over the x-axis. This gives us -k(x). Next, we vertically stretch the graph of -k(x) by a factor of 1/2. This makes the graph of -k(x) taller and narrower. Finally, we shift the graph of -k(x) 3 units to the right. This moves the entire graph 3 units to the right on the x-axis. The resulting function is f(x)=-1/2|x+3/-1.To understand why these transformations were applied, it's helpful to consider the effect of each transformation on the graph of k(x)=x|. Reflecting in the y-axis flips the graph over the x-axis and changes the sign of the function, so it becomes -k(x). Vertical stretching by a factor of 1/2 makes the graph of -k(x) taller and narrower. Finally, shifting the graph of -k(x) 3 units to the right moves the entire graph 3 units to the right on the x-axis. This results in the graph of f(x)=-1/2|x+3/-1.

Answer:

(Assuming it is k(x) = |x| and f(x) = -1/2|x+3| -1

Scale vertically by a factor of -1/2

Shift left 3

Shift down 1

Step-by-step explanation:

The -1/2 is multiplied by everything, so it scales the graph vertically by -1/2. The -1 is again, everything(as opposed to just modifying the x), so it shifts the graph down by 1.

The + 3 is a little more confusing. Basically, x would have to be x-3(which is shifting the graph left) in order to retain the same x-value(to make the equation true) for the same value. This is the same for y, but we usually isolate y so it doesn't come up as often. If we add 1 to both sides, we get [tex]f(x) + 1= -1/2|x+3|[/tex], and for the same reasoning the graph would shift down 1 even though it is f(x) + 1, because for the same x-value the y-value would need to be 1 less to make the equation to hold true.

Feel free to message me/comment on this answer if you would like more clarification/why it is "backwards" or anything else about my answer.

I hope this helps!

Suppose your parents agree to pay you
one cent today, two cents tomorrow (the first day after today), four cents the next day (second day after today), and so forth. Each time they double the amount they pay you. Write an equation expressing amount paid in terms of number of days after today. What kind of function is this? How much will they pay you the 30th day? Surprising?! Show that the amount paid today (0 days after today) agrees with the definition of zero exponents.

Answers

They will pay You $5368709.12 on the 30th day

What does the term "compound interest" mean?

Compound interest is when you receive interest on both your interest income and your savings.

You start with a one cent.

You have $0.01 x 2 the following day.

You have $0.01 x 2 x 2 the following day.

and so forth

You will have $0.01 x 2^n-1 on day n.

This means that on the 30th day, you have $0.01 x 2^29 = $5 368 709.12.

That is compound interest at work! It equates to daily payments of 100% interest. It immediately soars to inconceivable heights with even a penny as your initial investment!

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Select all of the following that are quadratic functions.
x=3y²-6y+5
y+3=-2x2+5
y=2x2−8x+6
y=-7x-4
y-3x=4x³-x² +9
y = 5 x(x +9)-8
y-2x²=3x-2x²+4
DONE​

Answers

Step-by-step explanation:

For this select the function with the leading term with the power of 2

1 and 6 are the only quadratic function ( BECAUSE THEY ONLY HAVE FUNCTION WITH GREATEST POWER OF 2)

Graph the line that has a slope of
1
6
and includes the point (0,0).

Answers

Hence, the line having the slope of [tex]\frac{1}{6}[/tex] which includes the point [tex](0,0)[/tex] is [tex]y=\frac{x}{5}+c[/tex].

What is the slope of line?

The slope is always estimated by determining the ratio of the “vertical change” to the “horizontal change” between any two different points on a line.

Here given thaat the line that has a slope of [tex]\frac{1}{6}[/tex] which includes the point [tex](0,0)[/tex].

Then,

[tex]y=mx+c\\\\y=\frac{x}{5}+c\\\\x=0,y=0\\\\0=0+c\\\\c=0[/tex]

Thus,

[tex]y=\frac{x}{5}+c\\\\c=0[/tex]

Hence, the line having the slope of [tex]\frac{1}{6}[/tex] which includes the point [tex](0,0)[/tex] is [tex]y=\frac{x}{5}+c[/tex].

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suppose we have trained 10 different models on the exact same training data, and magically, they all achieve 95% precision. is there any possibility these models could all be combined to achieve better performance? if so, how? if not, why?

Answers

If you train 10 distinct models on the same training data, try integrating them into a voting ensemble, which will eventually produce better results.

what is voting ensemble ?

Voting is an ensemble technique for making predictions by combining the results of various models. The predictive performance of an ensemble is better than that of a single predictive model in a predictive modeling issue. This is accomplished by the model adding bias, which lowers the variance component of the prediction error

calculation

Voting ensembles frequently produce even better results, so try combining them.

The models should differ greatly for it to operate. 95 percent accuracy.

We will therefore get better results if we combine them.

If you train 10 distinct models on the same training data, try integrating them into a voting ensemble, which will eventually produce better results.

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mona wants to buy pens each pens costs 3.50 she can only buy 3 pens with the money she has which of these could be the money she has

a. rs 11
b. rs 10
c. rs 14
d. rs 9

Answers

Neither of these answer are correct because the answer had a decimal but if your rounding up go with 11

Answer:

a.  11

Step-by-step explanation:

Mona wants to buy pens each pens costs 3.50 she can only buy 3 pens with the money she has which of these could be the money she has:

a.  11

b. 10

c. 14

d. 9

3.5 * 3 = 10.5 cost

She has 11.

10 post hole that are 3 feet deep and 1 foot across with a pipe down the center that is 3 inches in diameter

Answers

The total volume of all 10 holes and pipes is about 24.135 cubic feet.

What is Volume?

Generally, To calculate the volume of the holes, you can use the formula for the volume of a cylinder:

Volume = π * radius^2 * height

In this case, the radius of the hole is 0.5 feet (since the hole is 1 foot across and the diameter of the pipe is 3 inches, which is 0.25 feet), and the height is 3 feet. Plugging these values into the formula, we get:

Volume = π * 0.5^2 * 3 = 0.785 * 3 = 2.355 cubic feet

So each hole has a volume of about 2.355 cubic feet. To find the total volume of all 10 holes, you can simply multiply this number by 10:

Total volume = 2.355 * 10 = 23.55 cubic feet

This is the volume of the holes themselves, not including the volume of the pipes. To find the volume of the pipes, you can use the same formula, but with the radius of the pipe (which is 1.5 inches, or 0.125 feet) and the length of the pipe (which is 3 feet).

Volume = π * 0.125^2 * 3 = 0.0195 * 3 = 0.0585 cubic feet

So the volume of one pipe is about 0.0585 cubic feet. To find the total volume of all 10 pipes, you can multiply this number by 10:

Total volume = 0.0585 * 10 = 0.585 cubic feet

23.55 + 0.585 = 24.135 cubic feet.

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CQ not found

I am very confused on what to do.Can someone help me?

Answers

Answer:

739 m²

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{9 cm}\underline{General form of an Exponential Equation}\\\\$y=ab^x$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the initial value ($y$-intercept). \\ \phantom{ww}$\bullet$ $b$ is the base (growth/decay factor) in decimal form.\\\end{minipage}}[/tex]

The given scenario can be modelled as an exponential equation.

Let y be the area the fire covers (in meters squared).

Let x by the time (in hours).

If the fire currently covers an area of 32 m² then the initial value, a, is 32.

If the area covered by the fire increases by 17% each hour, then the growth factor, b, is 1.17 (since an increase of 17% is 117% of the previous amount).

Therefore:

a = 32b = 1.17

Substitute the values of a and b into the exponential formula:

[tex]y=32(1.17)^x[/tex]

To find the area that the first covers in 20 hours' time, simply substitute x=20 into the equation:

[tex]\implies y=32(1.17)^{20}[/tex]

[tex]\implies y=32(23.1055991...)[/tex]

[tex]\implies y=739.37917...[/tex]

Therefore, the area the fire will cover in 20 hours' time is 739 m²  (nearest 1 m²).

Compare √18 and 23/5 using >, <, or =.

23/5<√18
23/5 = √18
√18 > 23/5
√18<23/5

Answers

Answer: Thus, sqrt 18 < 23/5

Step-by-step explanation:

23/5=4.6

4.6x4.6=21.16

18<21.16

Find X round answer to the nearest integer.

Answers

I think it’s B, but u can check on mathaway!
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