Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends and still had 2 chocolates left.
Write an equation to determine the number of friends (x) at Jack's party.
Find the number of friends at Jack's party.
friends
​

Answer:

Theory

Step-by-step explanation:

A triangular number or triangle number counts objects arranged in an equilateral triangle. The nth triangular number is the number of dots in the triangular arrangement with n dots on a side, and is equal to the sum of the n natural numbers from 1 to n. The sequence of triangular numbers , starting at the 0th triangular number, is  0, 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, 66, 78, 91, 105, 120, 136, 153, 171, 190, 210, 231, 253, 276, 300, 325, 351, 378, 406, 435, 465, 496, 528, 561, 595, 630, 666...

Answer:

-m^5*x^10*y^15

Step-by-step explanation:

remember alphabetical order

The standard form of the monomial equation (–x²y³m)⁵ is -m⁵x¹⁰y¹⁵.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is (–x²y³m)⁵. The standard form of the number will be written as,

E = (–x²y³m)⁵

Solve the exponents and simplify.

E =  -m⁵x¹⁰y¹⁵

Therefore, the standard form of the monomial equation (–x²y³m)⁵ is -m⁵x¹⁰y¹⁵.

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Answer:

x = 1

Step-by-step explanation:

Well the first step is to apply the distributive property:

4(3x - 1) is equal to (12x - 4). You DISTRIBUTE a '4' to what is inside the parentheses.

And btw, to make it easier, you can make 9 - x so that x is first. For example, (-x + 9). They're both the same thing, just written differently.

Your new equation is 12x - 4 = -x + 9. You want to now solve the equation.

Add the (-x) to both sides. It cancels out on the right side and you add it to 12x on the left side.

[If there's no number in front of a variable, you can always just put 1 in order to make it easier]

12x + 1x = 13x. Your new equation is 13x - 4 = 9. This should look very familiar. You simply add 4 to both sides. 9 + 4 = 13

Finally, 13x = 13. Divide 13 ÷ 13 to get 1.

x = 1

Answer:

0.15

Step-by-step explanation:

Given expression

3 tenths- 3 twentieth

⇒

[tex]=\frac{3}{10} -\frac{3}{20} \\=\frac{6}{20} -\frac{3}{20}\\=\frac{6-3}{20} \\=\frac{3}{20} \\=0.15[/tex]

Therefore value of given expression is 0.15

Answer:

x< (-6)

Step-by-step explanation:

If you have any questions about the way I solved it,don't hesitate to ask

Answer:

what is the problem?

Step-by-step explanation:

Answer:

What work do you need help with tag a photo or write it out.

Answer:

P(The color of the car is red)  is 0.32 .

P(The color of the car is white) is 0.34 .

P(The color of the car is silver) is 0.19 .

P(The color of the car is blue) is 0.15 .

P(car color is not red or blue) is 0.53 .

Step-by-step explanation:

We know that total angle subtended at the center by a complete circle is

360° .

According to the question,

P(The color of the car is red)

= [tex]\frac {115.2}{360}[/tex]

= 0.32

P(The color of the car is white)

= [tex]\frac {122.4}{360}[/tex]

= 0.34

P(The color of the car is silver)

= [tex]\frac {68.4}{360}[/tex]

= 0.19

P(The color of the car is blue)

= [tex]\frac {54}{360}[/tex]

= 0.15

So

P(car color is not red or blue)

= 1 - (0.15 + 0.32)

= 0.53

Answer:

0.53 is the correct answer.

Step-by-step explanation:

I'm assuming your teacher wants you to translate the given sentence into an algebraic expression.

y = some unknown number

4y = 4*y = four times a number y

4y+8 = four times a number, y, increased by 8

For this case we must solve the following equation:

[tex]\frac {x + 4} {3} = 2[/tex]

We follow the steps below:

Multiplying by 3 on both sides of the equation we have:

[tex]x + 4 = 3 * 2\\x + 4 = 6[/tex]

Subtracting 4 from both sides of the equation:

[tex]x = 6-4\\x = 2[/tex]

Thus, the solution of the equation is[tex]x = 2[/tex]

Answer:

[tex]x = 2[/tex]

Answer:

8

Step-by-step explanation:

3u+4u=7u

7u=56

u=8 because you divide

Answer:

U=8

Step-by-step explanation:

3u+4u=56

7u=56

u=8

Answer:

whats the question?

Step-by-step explanation:

Answer:

the answer is type 2

Step-by-step explanation:

ok so you first have to find the ratio of all of them and for type 1 it is 40 to 1 for type 2 it is 50 to 1 type 3 is 25 to 1 and type 4 is 30 to 1 so there for type two has the biggest ratio of fragrance to wax

The required table that has a higher ratio of fragrance to wax is type 2.

As given in the question, a company makes four different types of candles. The ratio of fragrance to wax for each type of candle is shown in the tables.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
For Type 1
The ratio of Fragrance to wax.
= 20 / 0.5 = 40 / 1

For Type 2
The ratio of Fragrance to wax.
= 150 / 3 = 50 / 1

For Type 3
The ratio of Fragrance to wax.
= 250 / 10 = 25

For Type 4
The ratio of Fragrance to wax.
= 30 / 1

Now,
50 > 40 > 30 > 25
Type 2 > type 1 > type 3 > type 4

Thus, the required table that has a higher ratio of fragrance to wax is type 2.

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Answer:

21 divided by 14 is 1.5

and

1.5 x 4 = 21

The calculated division of the numbers 21 divided by 14 is 3/2

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

21 divided by 14

When represented as an equation, we have

21 divided by 14 = 21/14

Divide 21 by 14

So, we have the following result

21 divided by 14 = 3/2

Using the above as a guide, we have the following:

the result is 3/2

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For this case we have the following inequality:

[tex]-5y \leq-15[/tex]

To solve, we follow the steps below:

We divide between 5 on both sides of the inequality:

[tex]-y \leq \frac {-15} {5}\\-y \leq-3[/tex]

We multiply by -1 on both sides taking into account that the sense of inequality changes:

[tex]y \geq3[/tex]

Thus, the solution is given by all values of "y" greater than or equal to 3.

Answer:

[tex]y \geq3[/tex]

See attached image

The vertical axis represents the "y" axis

Answer:

width = 5

length = 15

Step-by-step explanation:

width: x

length : 3x

x + 3x + x + 3x = 40

8x = 40

x = 5

width = 5

length = 15

The percent equation showing the fiction books is y = 0.65x showing that among the 4,000 books in the library, 2,600 are fiction.

An equation is a mathematical representation of the equality of two expressions.

The number of books in the town's library = 4,000

The number of fiction books = 2,600

The number of nonfiction books = 1,400 (4,000 - 2,600)

The percentage of fiction books to the total number of books = 65% (2,600/4,000 x 100)

Let the total number of books in the library = x

Let the number of fiction books = y

Equation:

y = 0.65x

y = 2,600 (0.65 x 4,000)

The length of basketball court is 32 meters and width is 13 meters.

Step-by-step explanation:

Perimeter = 90 meters

Let w be the width

Length = l = 2w + 6

As basketball court are in rectangular shapes, therefore,

Perimeter = 2(length+width)

[tex]90=2(2w+6+w)\\90=2(3w+6)\\90=6w+12\\90-12=6w\\6w=78[/tex]

Dividing both sides by 6;

[tex]\frac{6w}{6}=\frac{78}{6}\\w=13\ meters[/tex]

Length = 2w+6

[tex]l=2(13)+6\\l=26+6\\l=32\ meters[/tex]

The length of basketball court is 32 meters and width is 13 meters.

Keywords: perimeter, rectangles

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Answer:

Δ MNO ≅ Δ PQR by ASA postulate

Step-by-step explanation:

Δ MNO and Δ PQR are congruents because:

1. Their included sides MN and PR are equal (22 units = 22 units)

2. Their angles ∠M and ∠P are equal  (100° = 100°)

3. Their angles ∠N and ∠Q are equal  (35° = 35°)

Now, we can conclude that Δ MNO ≅ Δ PQR by ASA postulate.

Answer:

solutions

Step-by-step explanation:

use the quotient property to rewrite the expression.

write the difference of logs as the quotient log((d+1)/d).

substitute 1 for d to get log(2).

since log(2) = 0.30, the probability that the number 1 is the leading digit is about 30%.

Answer:

Use the quotient property to rewrite the expression.

Write the difference of logs as the quotient log((d+1)/d).

Substitute 1 for d to get log(2).

Since log(2) = 0.30, the probability that the number 1 is the leading digit is about 30%.

Step-by-step explanation:

Answer:

1/3 or 0.33 feet

Step-by-step explanation:

This question can be easily answered by using simple proportions.

If 75 feet are represented by 45 inches on a scale, then the scaling factor from feet to inches is 45/75, or from inches to feet is 75/45

If we have 1/5 inch and want feet, just multiply by 75/45 to get

1/5*75/45=1/3=0.33 feet

Answer:

1/3 feet

Step-by-step explanation:

We are given that

On a scale drawing

45 inches represented =75 feet

We have to find a scale of 1/5 inch how many feet represents.

To find the value in feet represented by  a scale of 1/5 inch we will use unitary method.

Using unitary method

45 inches represents =75 feet

1 inch represents =[tex]\frac{75}{45}[/tex] feet

1/5 inch represents =[tex]\frac{75}{45}\times \frac{1}{5}[/tex] feet

1/5 inch represents=[tex]\frac{1}{3}[/tex] feet

Hence, a scale of 1/5 inch represents 1/3 feet

Answer:

72

Step-by-step explanation:

multiply

Answer:

72

Step-by-step explanation:

Answer:

d = 49

Step-by-step explanation:

Given that the expression is a perfect square of the form

(ay - b)² = a²y² - 2aby + b²

Then comparing like terms

a²y² = 25y², that is

a² = 25 ⇒ a = 5

and -2aby = - 70y, thus

2ab = 70, that is

2(5)b = 70

10b = 70 ⇒ b = 7

b² = 7² = 49

Hence

25y² - 70y + d = (5y - 7)² = 25y² - 70y + 49

Thus d = 49

One number is 7 less than a second number. Twice the second number is 1 less than 5 times the first. Then the two numbers are 5 and 7

Solution:

Given that one number is 7 less than a second number.

Twice the second number is 1 less than 5 times the first.

Need to determine two numbers.

Let assume first number be represented by variable x and second number be represented by variable y.

As first number is 7 less than a second number, adding 7 to first number will give us second number

=> x + 7 = y   ------ (1)

[tex]\begin{array}{l}{\text { Twice of second number }=2 \times \text { second number }=2 \times y=2 y} \\\\ {\text { 5 times the first number }=5 \times \text { first number }=5 \times x=5 x}\end{array}[/tex]

As given that Twice the second number is 1 less than 5 times the first , if we 1 to twice of second number we will get 5 times first number ,

=> 2y + 1 = 5x     ------ (2)

On substituting value of y as x + 7 from equation 1 into equation 2 , we get

2(x + 7) + 1 = 5x      

=> 2x + 14 + 1 = 5x

=> 2x – 5x = -15

=> -3x = -15

x = 5

Substituting x = 5 in equation (1) to get value of y  

=> y = 5 + 7 = 12

Hence first number is 5 and second number is 12

Each side of garden measures 13.2 feet.

Step-by-step explanation:

Given,

Area of Kaitlyn's garden = 175 square feet

As the garden is in square shape, each side will have equal length.

Let,

a be the length of each side.

Area of square garden = A = a²

[tex]a^2=175[/tex]

Taking square roots on both sides

[tex]\sqrt{a^2}= \sqrt{175} \\a=13.22 \ feet[/tex]

Rounding off to nearest tenth,

Length of each side = 13.2 feet

Each side of garden measures 13.2 feet.

Keywords: area, square root

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Answer: I think you answered your own question

Step-by-step explanation:

Answer:

8000

Step-by-step explanation:

you multiply 20 and 400

Answer: He could read at most 8000 pages this year.

Answer:

He is correct

Step-by-step explanation:

multiplication and division are inverse operations so lets divide to see if he is correct

40.7/10=4.07

he is correct

Since the result tallies with Ethan's assumption, hence the result of Ethan is correct.

According to Ethan, he assumed that the product of  10 and 4.07 is 40.7, we are to check if the calculation of Ethan is correct.

To do that, we will have to multiply 10 with 4.07 as shown below:

[tex]= 10 \times 4.07 \\= 10 \times \frac{407}{100}\\=\frac{4070}{100} \\=40.70[/tex]

Since the result tallies with Ethan's assumption, hence the result of Ethan is correct.

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It takes 1 painter 24 hours to paint two class rooms

Step-by-step explanation:

When some worker do a job together, then

∵ It takes three painters 4 hours to paint 1 classroom

∵ It takes 1 painter x hours to paint 1 class room

- Equate 3 × 4 by 1 × x because they will do the same job

∴ 3 × 4 = 1 × x

∴ 12 = x

∴ It takes 1 painter 12 hours to paint 1 class room

We need to find it takes 1 painter to paint two class room

∵ The painter will paint 2 class rooms

∵ He takes 12 hours to paint 1 class room

- Multiply his time in one class room by 2

∵ 12 × 2 = 24

∴ It takes 1 painter 24 hours to paint 2 class rooms

It takes 1 painter 24 hours to paint two class rooms

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is 9:10 hope it helps

Final answer:

Katie was a quarter of an hour, or 15 minutes, late to school which starts at 8:55 AM. So, she arrived at 9:10 AM.

Explanation:

If school starts at 8:55 AM and Katie was a quarter of an hour late, that means she was 15 minutes late because a quarter of an hour is 15 minutes (60 minutes divided by 4 equals 15 minutes).

To find out what time Katie arrived, we need to add 15 minutes to the starting time of school:

School starts: 8:55 AM

Time late: + 15 minutes

Time of arrival: 9:10 AM

So, Katie arrived at school at 9:10 AM.