Find 3 consecutive odd integers such that the sum of 2 times the first and the last term is equal to 5 times the middle integer.

Answer:

The equation is: \(5c-2=9\)

Step-by-step explanation:

Since 2 less than the product of 5 and a number c is equal to 9, it follows:

\(5c-2=9\)

Answer:

Option B is the correct option.

Step-by-step explanation:

\( \mathsf{x + x + 2 + 2x = - 2}\)

Collect like terms

\( \mathsf{4x + 2 = - 2}\)

Move constant to R.H.S and change its sign

\( \mathsf{4x = - 2 - 2}\)

Calculate

\( \mathsf{4x = - 4}\)

Divide both sides of the equation by 4

\( \mathsf{ \frac{4x}{4} = \frac{ - 4}{4} }\)

Calculate

\( \mathsf{x = - 1}\)

Hope I helped!

Best regards!

Answer:

-2

Step-by-step explanation:

Because it says it in the problem.

Since you don't know the value of x you make that a zero.

You add the x's and you get zero.

2+2x=2

= -2

Answer:

Malik considers the enlargement of the trapezoid. The side with the length 10 cm becomes the side with the length 25 cm, the side with the length 18 cm becomes the side with x cm.

Write a proportion of corresponding sides:

Cross multiply:

so correct option is C,

(18)(25) =10x

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

65.5%

Step-by-step explanation:

The total cost of making 1000 lapel pins is:

Cost = 1000 * £1.10

= £1100

Out of these, 35% of the lapel pins are given to charities. So, the number of lapel pins that will be sold is:

Number of lapel pins for sale = 1000 - 35% of 1000

= 1000 - 350

= 650

60% of these lapel pins are sold at £3.00 each. So, the revenue from selling these lapel pins is:

Revenue from selling 60% of the lapel pins = 60% of 650 * £3.00

= 390 * £3.00

= £1170

40% of the remaining lapel pins are sold at £5.00 for 2. This means that for every 2 lapel pins sold, the revenue is £5.00. So, the revenue from selling these lapel pins is:

Revenue from selling 40% of the lapel pins = 40% of 650 / 2 * £5.00

= 130 * £5.00

= £650

The total revenue from selling the lapel pins is:

Total revenue = Revenue from selling 60% of the lapel pins + Revenue from selling 40% of the lapel pins

= £1170 + £650

= £1820

The profit is the difference between the revenue and the cost of making the lapel pins. So, the profit is:

Profit = Total revenue - Cost

= £1820 - £1100

= £720

The percentage profit is the profit as a percentage of the cost, multiplied by 100. So, the percentage profit is:

Percentage profit = (Profit / Cost) * 100

= (£720 / £1100) * 100

= 65.45%

Therefore, the company should make a percentage profit of 65.5%.

Answer:

Step-by-step explanation:

Area = LxWxH

So 12x13x2 is

312

hope this helps

Answer:

182

Step-by-step explanation:

A = (a + b)/2 x h

a = top = 12

b = bottom = 12 + 2 + 2 = 16

h = 13

A = (12+16)/2 x 13 = 182

Answer:Therefore, the percent change from 56 to 77 students is 37.5%.

Step-by-step explanation:

students, we can use the following formula:

percent change = ((new number - old number) / old number) x 100%

Plugging in the values given in the problem, we get:

percent change = ((77 - 56) / 56) x 100%

percent change = (21 / 56) x 100%

percent change = 0.375 x 100%

percent change = 37.5%

Therefore, the percent change from 56 to 77 students is 37.5%.

Answer: 37.5%

Step-by-step explanation:

Answer:

\(f^{-1}\left(f(576)\right)=\boxed{576}\)

\(f^{-1}(-7)+f(-7)=\boxed{13}\)

Step-by-step explanation:

The inverse of an invertible function with the domain of all real numbers is obtained by reflecting the original function across the line y = x, which swaps the input and output values of the function. Therefore, (x, y) → (y, x).

Given table:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&-7&11&-13&6&5&-9\\\cline{1-7}\vphantom{\dfrac12}f(x)&7&12&8&-7&13&5\end{array}\)

Inverse function:

\(\begin{array}{lrrrrrr}\vphantom{\dfrac12}x&7&12&8&-7&13&5\\\cline{1-7}\vphantom{\dfrac12}f^{-1}(x)&-7&11&-13&6&5&-9\end{array}\)

If we have a function f(x), the inverse function is denoted as f⁻¹(x), and it has the property that f⁻¹(f(x)) = x for all valid inputs x in the domain of f(x).

Therefore:

\(\large\boxed{f^{-1}\left(f(576)\right)=576}\)

The value of f(-7) is the value of f(x) when x = -7. Therefore, reading from the original table, f(-7) = 7.

The value of f⁻¹(-7) is the value of f⁻¹(x) when x = -7. Therefore, reading from the inverse function table, f⁻¹(-7) = 6.

Therefore:

\(\large\boxed{\begin{aligned}f^{-1}(-7)+f(-7)&=6+7\\&=13\end{aligned}}\)

Answer:

6

Step-by-step explanation:

3/4 of 801 is approx 600

   3/4 % of 801 would be this answer divided by 100 .... = 6

Answer:11people

Step-by-step explanation:

Answer:

She needs to sell the rest of her 29.41 rolls of wrapping paper. If she sells all of her rolls of wrapping paper, she'll be able to get a total of $131.48.

Step-by-step explanation:

To get the answer to "How many more rolls of wrapping paper does Daisy need to sell?" you would have to add up how many she already sold which is

2.24 + 5.75 + 0.6 = 8.59

and then subtract 8.59 from the total of rolls she's supposed to sell.

38 - 8.59 = 29.41

To get $131.48

You multiply how much each roll costs to the total of rolls she's supposed to sell:

38 * 3.46 = 131.48

Hope this helped :)

Answer:

Step-by-step explanation:

option D is the correct answer

1/2*3*4*10

HOPE U GOT THE ANSWER

PLS MARK THE BRAINLIST!! (❁´◡`❁)

Answer:

I think its 180 - 92 = 88

Step-by-step explanation:

i maybe wrong :(

Formula used,

Area of rhombus = Base × height

Substituting the values,

\( \longrightarrow\)Area = 18 × 15.5

\( \longrightarrow\) Area = 279 cm²

Therefore, 279 cm² is the area of the rhombus .

Answer:

D) 279 cm²

Step-by-step explanation:

Area of a rhombus formula:
\(A=bh\)

This formula is also used for squares and rectangles.

So, we can substitute in our values such as:

A=(18)(15.5)

simplify

A=279

Now, add our label and units:

A=279 cm²

Hope this helps! :)

Answer:

Step-by-step explanation:

Answer:

1. (A) Greece has the longest coastline in Europe and is the southernmost country in Europe. The mainland has rugged mountains, forests, and lakes, but the country is well known for the thousands of islands dotting the blue Aegean Sea to the east, the Mediterranean Sea to the south, and the Ionian Sea to the west.

1. (B) Rome was built on a defensible hill that dominated the last downstream, high-banked river crossing where traverse of the Tiber was facilitated by a midstream island. This hill, Palatine Hill, was one of a group of hills, traditionally counted as seven, around which the ancient city grew.

1. (C) The fertile soil of the Po and Tiber River Valleys allowed Romans to grow a diverse selection of crops, such as olives and grains. Greece's steep mountains and surrounding seas forced Greeks to settle in isolated communities. Travel by land was hard, and sea voyages were hazardous. Most ancient Greeks farmed, but good land and water were scarce. They grew grapes and olives and raised sheep, goats, pigs, and chickens.

2. (A) Monotheism:
So mono means like one, so monotheism means that you only believe in one god.  (The three religions of Judaism, Christianity, and Islam readily fit the definition of monotheism)

Polytheism:
So poly means more than one, so polytheism is the opposite of monotheism (more than one god) (for example, Hinduism, Shintoism, Thelema, Wicca, druidism, Taoism, Asatru, and Candomble).

2. (B) Jewish people believe there's only one God who has established a covenant—or special agreement—with them. Their God communicates to believers through prophets and rewards good deeds while also punishing evil. Most Jews (with the exception of a few groups) believe that their Messiah hasn't yet come—but will one day.
2. (C) Christians believe there's only one God, and he created the heavens and the earth. This divine Godhead consists of three parts: the Father (God himself), the Son (Jesus Christ), and the Holy Spirit.

2. (D) So I was not sure about the Greek, so I only did the Roman part, hope that's alright. As different cultures settled in what would later become Italy, each brought its own gods and forms of worship. This made the religion of ancient Rome polytheistic, in that they worshipped many gods. They also worshipped spirits. Rivers, trees, fields, and buildings each had their own spirit or numen. (I think)

3. (A) The Greeks made important contributions to philosophy, mathematics, astronomy, and medicine. Literature and theatre was important aspect of Greek culture and influenced modern drama. The Greeks were known for their sophisticated sculpture and architecture.

3. (B) The legacy of Ancient Rome is still felt today in Western culture in areas such as government, law, language, architecture, engineering, and religion.

(Not too sure about this one) Roman models of colonialism and of warfare also became influential.

It was due to their exceptional concrete that they were able to produce their sturdy aqueducts and bridges as well as other structures.

3. (C) The Greeks made important contributions to philosophy, mathematics, astronomy, and medicine.

3. (D) A people known for their military, political, and social institutions, the ancient Romans conquered vast amounts of land in Europe and northern Africa, built roads and aqueducts, and spread Latin, their language, far and wide.

3. (E) Though it has been thousands of years since the Roman Empire flourished, we can still see evidence of it in our art, architecture, technology, literature, language, and law.

3. (F) The Greeks pretty much invented modern mathematics, sculpture, philosophy, science, and even medicine.

Hope this helps!

Answer:1. (A) Greece has the longest coastline in Europe and is the southernmost country in Europe. The mainland has rugged mountains, forests, and lakes, but the country is well known for the thousands of islands dotting the blue Aegean Sea to the east, the Mediterranean Sea to the south, and the Ionian Sea to the west.

Step-by-step explanation:

Answer:

32 degrees

Step-by-step explanation:

The sum of all angles in a triangle is 180 degrees.

A right angle (The one marked by a small square on the bottom left) measures 90 degrees.

You're given that the other two angles in the triangle measure 58 and x degrees.

To find x, we'll find the sum of all angles, and equate it to 180.

The sum of all angles = 90 + 58 + x = 148 + x degrees

\(148 + x = 180 \text{ // -148}\\\cancel{148 -148} + x = 180 - 148\\x = 32^{\circ}\)

Answer: 1/2 + 2/3 + 4 /6  = 11/6

Step-by-step explanation:

1/2 + 2/3 + 4 /6

We need to find a common multiple, for the denominator. Let us choose 6, so we do not have to deal with large numbers.

Note that we do not change 4/6, since it already has a denominator of 6.

==> 3/6 + 4/6 + 4/6

Add;

==> 11/6

3/6 + 4/6 + 4/6  equal to 11/6

Hope this helped!

Answer:

-3n-4n = 25 + 17

-7n = 42

n= -6

the main thing for here is to combine the like terms and to solve for n which is done by putting all the numbers with variables on one side and the non variables on the other and divide each side by the number that has the variable. Remember that when you bring numbers on the other side, you change its sign, for example if you have 5 on one side and you bring to the other side of the equal sign it becomes -5.

-15 + 15d -7.5d =7.5

15d - 7.5d = 7.5 + 15

7.5d = 22.5

d = 3

for the part where theres 7.5(2d-1)

you multiply each number inside the bracket by 7.5, its called distributivity of multiplication

hope that answers your question

hope you understand what i wrote lol

good luck:)

Answer:

Question 1

Original Equation:

-3n-4n-17=25

Add 17 to both sides (cancels out the -17)

-3n-4n=42

Combine -3n and -4n.

-7n=42

Divide by -7

n = -6

Question 2

Original Equation:

-15+7.5(2d-1)=7.5

Distribute:

-15+15d-7.5=7.5

Add 7.5 to both sides:

-15+15d=15

Add 15 to both sides:

15d=30

Divide by 15:

d = 2

Let me know if this helps!

answer: B,C

Step-by-step explanation:

to be able to reproduce sexually you need enough of the same species to mate with. A says no individuals to reproduce with but for that it would be better if they were asexual. D says they change living environment and that usually changes the amount of same species animals that are around to reproduce with.

Answer:

6

Step-by-step explanation:

Think of the activities as numbers 1, 2, 3, 4. Since she can only do two, here are all the combinations: 1 and 2, 1 and 3, 1 and 4, 2 and 3, 2 and 4, 3 and 4.

That is 6 different combinations in total.

Answer:

6

Step-by-step explanation:

this should be more than 111 but less than 162.

162/25= 6 12/25

111/18= 6 3/111

So the amount that should fit should be 6.

The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:

2/8 = j/18

This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:

2/8 = j/18

218 = 8j

36 = 8*j

j = 36/8

j = 4.5

Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.

Answer:

Step-by-step explanation
2 over 8 equals j over 18

This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.

So, the correct proportion is:

Answer: c 262 cm^3

Step-by-step explanation:

Answer:

96×7.49=719.04(A)......

Answer is A

all you need to do is times it

Answer: = − 3 /2

Precalculus, Matrix

Rearrange terms, Combine multiplied terms into a single fraction, distribute, Multiply all terms by the same value to eliminate fraction denominators, Multiply all terms by the same value to eliminate fraction denominators . Cancel multiplied terms that are in the denominator . Multiply the numbers . Add 4 to both sides of the equation . Simplify.

Divide both sides of the equation by the same term  . Simplify

Answer:

z = -3/2

Step-by-step explanation:

Our goal here is to solve -1/3 (4+z)=-5/6 for z.

Begin by multiplying both sides by 6, to eliminate the fractions:

-2(4 + z) = -5

Isolate (4 + z) by dividing both sides by -2:  4 + z = 5/2

Finally, determine z by subtracting 4 from both sides:  z = 5/2 - 8/2 = -3/2

z = -3/2

Answer: It's D, I got it wrong. It's, 1,3,4,5,6,7,8,10.

Step-by-step explanation:

I got it wrong bc of those bozos.