Consider the number 9,953.
Is this number divisible by 2, 3, 4, 5, 9, or 10? Provide justification for
each number without using a calculator.
Hint: If a number is not divisible by 2, then what other numbers is it
also not divisible by?
Write your answer in complete sentences.

Answers

Answer 1

Answer:

No for all of them

Step-by-step explanation:

2 --> not even

3 --> of the sum of the numbers are not divisible by three

4 --> the last two digits are not equal to a multiple of four

5 --> the last digit is not ending with 0 or 5

9 --> the sum of the digits is not equal to a multiple of nine

10 --> the last number is not zero


Related Questions

what is the inverse of f(x)=x^2+5

Answers

Answer:

[tex]\sqrt{X-5}[/tex], [tex]-\sqrt{X-5}[/tex]

Step-by-step explanation:

Replace X with Y

solve for Y; X = Y^2 + 5

subtract 5 from both sides

X - 5 = Y^2

take the square root

Y = plus or minus sqrt(X-5)

sqrt(X-5); -sqrt(X-5)

Express each of the following rational numbers in power notation
(i) -1/125

Answers

Answer:

[tex]\displaystyle \large{-5^{-3}}[/tex]

Step-by-step explanation:

Given:

[tex]\displaystyle \large{-\dfrac{1}{125}}[/tex]

Convert to exponent using the laws of exponent:

[tex]\displaystyle \large{\dfrac{1}{a^n} = a^{-n}}[/tex]

That means we must find the base and exponent for 125, which is [tex]\displaystyle \large{5^3}[/tex]:

[tex]\displaystyle \large{-\dfrac{1}{125} = -\dfrac{1}{5^3}}[/tex]

From the law of exponent:

[tex]\displaystyle \large{-\dfrac{1}{5^3} = -5^{-3}}[/tex]

Therefore, the solution is [tex]\displaystyle \large{-5^{-3}}[/tex]

anybody know if your suppose to use the pie symbol or the numbers when doing math

Answers

Answer:

Depends on the question or if it specifically says to.

Step-by-step explanation:

For finding the volume of cylinders and spheres use the pi symbol or just say "use 3.14 for pi"

A forest has 1260 trees.
The trees are maple, beech or oak.
A fifth of the trees are maple and the number of maple trees is 3 times the number of beech trees.
The rest of the trees are oak.
number of oak : number of beech = n : 1
Work out the value of n .
You must show how you get your answer.

Answers

Answer:

[tex]\huge\boxed{\sf n = 11}[/tex]

Step-by-step explanation:

Total trees = 1260 trees

Maple trees:

[tex]\displaystyle = \frac{1}{5} \ of \ total \ trees\\\\= \frac{1}{5} \times \ 1260\\\\= \frac{1260}{5} \\\\= 252 \ maple \ trees[/tex]

Beech trees:

Given that:

Maple trees = 3 × beech trees

=> There are 252 maple trees.

252 = 3 × beech trees

Divide 3 to both sides

252 / 3 = beech trees

84 trees = beech trees

[tex]\boxed{\sf beech \ trees = 84 \ trees\\}[/tex]

Oak trees:

It is said that all other trees are oak trees.

So, oak trees will be:

= total trees - maple trees - beech trees

= 1260 - 252 - 84

= 924 trees

The ratio of oak trees to beech trees:

= 924 : 84

Divide 84 to both sides

= 11 : 1

The question says:

number of oak : number of beech = n : 1

So, from the answer, it is clear that:

n = 11

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

Ram spent 1/3 of his salary on food, ,1/4 of his salary on rent and electricity, and 1/20 of his salary on the telephone. Since April -2022 is the month of Ramadan, irrespective of religion and cast Ram has donated 1/10 of his salary to an orphanage and 5000Aed to RCA Charity. He was left with 3000AED with him. What is his monthly salary?
STEP BY STEP PLS

Answers

The total monthly salary earned by Ram in the month of April 2022 is an amount of 30000 AED before payments and donations.

How to solve a word problem

Word problems are statements that embody a set of algebraic expressions that offers at least one solution. In this case, we have to read the statement, find the equivalent formula and solve for the resulting variable.

After a careful reading, the statement is equivalent to the following formula:

x = x / 3 + x / 4 + x / 20 + x / 10 + 5000 + 3000

4 · x / 15 = 8000    (1)

Where x is Ram's monthly salary.

The solution of (1) is x = 30000.

To learn more on word problems, we kindly invite to check this verified question: https://brainly.com/question/11240316

If sin o = -square root 3/2 and pi < o < 3pi/2 what are the values of cos and tan?

Answers

Answer:

c

Step-by-step explanation:

Solve for x and round to nearest tenth for both please and Thankyou:)

Answers

Answer:

For the first picture, 57.14

For the second picture, 27.04

2) Michael purchased a used car for $6,150 and had to pay 6.5% sales tax. How much tax
did he pay?

Answers

Answer:

$399.75

Step-by-step explanation:

6.5% of $6,150 =

= 0.065 × $6,150

= $399.75

Answer: $399.75

He had to pay $399.75

formula:  Tax = Tax Rate * Purchase Price

$6,150 * 6.5%$399.75

Chart Rodrigo's total utility for lattes and the marginal utility for the same using information

from the table.

Quantity

Utility

0

14

2

3

4

on ANO

22

28

32

35

5

1)

40

30

Units of Total Utility

20

10

0

1

2

3

4

N

5

Number of Lattés

2)

)

20

15

Units of Total Utility per Latte

10

5

0

1

2

3

4 5

Number of Lattés

Answers

The marginal utility is the extra satisfaction derived from the consumption of a product.

How to illustrate the marginal utility?

Your information isn't well written. Therefore, an overview of utility will be given. The total utility is the total amount of satisfaction that a consumer derives from a product.

The marginal utility simply means the extra satisfaction that's gotten from a product when an additional unit is consumed.

The formula for marginal utility will be:

= Total utility difference/Quantity of goods difference

Learn more about marginal utility on:

https://brainly.com/question/24922430

gary goes to the grocery store to but hot dogs and hamburgers for a cookout. He buys a total of 8 packages for a total of $28.52. A package of hot dogs costs $2.29 and a package of hamburgers costs $5.69.

Answers

d + b = 8
2.29d + 5.69b = 28.52

Hotdogs (d) = 2.29d
Hamburgers (b) = 5.69b
Total ( 8) = 28.52
[Hello, ssabic36]

Answer:

3 hamburger packs

5 hot dog packs

Step-by-step explanation:

Knowing that:

Gary buy ⇒ 8 packages for a total of $28.52

A package of hot dogs costs $2.29 and a package of hamburgers costs $5.69.

Solving:

Let the Hotdogs = HD

Let the Hamburgers = HB

HD + HB = 8

2.29HB + 5.69HB = 28.52

Hotdogs (HD) = 2.29

Hamburgers (HB) = 5.69

Total ( 8) = 28.52

Since we now know that

Hotdogs (HD) = 2.29

Hamburgers (HB) = 5.69

Thus,

2.29x5 = 11.45

5.69 x 3=17.07

17.07 + 11.45 = 28.52

Thus, gray buy

3 hamburger packs

5 hot dog packs

~[DiscordUser]~

Here's a graph of a linear function. Write the
equation that describes that function Express it in slope-intercept form.

Answers

Answer:

The answer to the linear function is

y = 1/2x + 4

Which of the following points is in the solution set of y < x^2 - 2x - 8?
(4, 0)
(-2, -1)
(0, -2)

Answers

Answer:

(4,0)

Step-by-step explanation:

Out of the given answers (4,0) would be correct

fully explain why, in general, (a + b)^2 = a^2 +b^2.

Answers

No this is not correct identity

(a+b)²(a+b)(a+b)a(a+b)+b(a+b)a²+ab+ba+b²a²+2ab+b²

Hence it's wrong

Answer:

Below!

Step-by-step explanation:

Let's simplify each side to determine if both sides are equal.

Left hand side of the equation:

Expression: (a + b)²

This expression can be simplified using the rule (x + y)² = x² + 2(x)(y) + y².

⇒ a² + 2(a)(b) + b²

When opening the parenthesis, we get;

⇒ a² + 2ab + b²

This expression cannot be simplified further as there are no like terms in the expression obtained.

Right hand side of the equation:

Expression: a² + b²

This expression cannot be simplified further as there are no like terms in the expression obtained.

Given equation:

(a + b)² = a² + b²

This can be rewritten as;

a² + 2ab + b² = a² + b² (False)

Therefore, it is impossible for a² + b² to be equivalent to a² + 2ab + b².

-8 . (-10+(-7))
Please help im stuck on this.

Answers

Answer:

136.

Step-by-step explanation:

-8 . (-10+(-7))

= -8*-10 + - 8*-7

= 80 + 56

= 136.

On a farm there was a cow. And on the farm there were 2 sheep. There were also 3 chickens. What is the total mass of the 1 cow, the 2 sheep, the 3 chickens, and the 1 farmer on the farm?
Make a conjecture about how many ants might be on the farm. If you added all these ants into the previous question, how would that affect your answer for the total mass of all the animals?
What is the total mass of a human, a blue whale, and 6 ants all together?
Which is greater, the number of bacteria, or the number of all the other animals in the table put together?

Answers

The total mass of the living things on the farm is 588 kg.

Mass calculation

Since on a farm there was a cow, 2 sheep and 3 chickens, to determine what is the total mass of the 1 cow, the 2 sheep, the 3 chickens, and the 1 farmer on the farm, the following calculation must be performed :

(6.2 x 10) + (4 x 10 x 10) + (2 x 6 x 10) + (3 x 2 x 1) = X62 + 400 + 120 + 6 = X588 = X

Therefore, the total mass of the living things on the farm is 588 kg.

Learn more about mass calculation in https://brainly.com/question/14695611

Is the function is even, odd or neither? How do you know?

Answers

Answer:

Step-by-step explanation:

A function is even if [tex]f(x)=f(-x)[/tex], or if the graph has a rotational symmetry about the x-axis. A function is odd if [tex]f(x)=-f(-x)[/tex]. For example, if you were to reflect that graph about the y-axis. Would it present symmetry?

From the graph we know from the fundamental theorem of Algebra that since f has 3 distinct roots, and changes directions three times, we are dealing with a cubic equation in the form of [tex]f(x)=x(x+2)(x-2)[/tex]

Since the equation is known, try the formulas

First, test for an even function, [tex]f(x)=f(-x)[/tex], this means that for our function, f, [tex]f(2)=f(-2)[/tex] see if this holds true

[tex]2(2+2)(2-2) = -2(-2+2)(-2-2)\\2(4)(0)=-2(0)(-4)\\0 = 0[/tex]

This means that the function is even.

Determine if the system has a solution, if so how many?

A) X-y=4 and 2x-2y=1
B)x-4y=0 and2x+4y=3
C)x-2y=1 and 4x-8y=4

PLEASE HELP DUE BY NOON

Answers

A) System doesn't have a solution.

x-y=4

2x-2y=1

x=4+y

2(4+y)-2y=1

8+2y-2y=1

8≠1

B) System has one solution.

x-4y=0

2x+4y=3

x=4y

2(4y)+4y=3

8y+4y=3

12y=3

y=1/4

C) Every solution is right for the system.

x-2y=1

4x-8y=4

x=1+2y

4(1+2y)-8y=4

4+8y-8y=4

4=4

Consider the line y=9x-1.
Find the equation of the line that is perpendicular to this line and passes through the polnt (6, -5).
Find the equation of the line that is parallel to this line and passes through the point (6,-5).

Answers

Step-by-step explanation:

Slope=9

i)

[tex]y−y1=m(x−x1)[/tex]

When line is parallel

y+5=9(x-6)

y+5 = 9x - 54

59 = 9x-y

When line is perpendicular

y+5=-1/9(x-6)

9(y+5)= -1(x-6)

9y + 45 = -x+6

x+9y = -39

MARK ME AS BRAINLIST

What is the scale factor???

Answers

Answer:

I believe your answer is 2 because that is the difference in the width of the cars.

A(n) _____ is a tool used to measure or draw angles.

Answers

A protractor is used to measure and draw angles

Sarah spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F. Between noon and 3pm, the temperature went up 12.1°F. Between 3pm and 6pm, the temperature dropped 5.5°F. What was the temperature at 6pm?

Answers

Using a system of equations, it is found that the temperature at 6pm was of -0.6 ºF.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

At 9 am, the temperature was -9.2°F. Between 9am and noon, the temperature rose 2°F, hence the temperature at noon was of -9.2 + 2 = -7.2ºF.

Between noon and 3pm, the temperature went up 12.1°F, hence at 3 pm, the temperature was of -7.2 + 12.1 = 4.9 ºF.

Between 3pm and 6pm, the temperature dropped 5.5°F, hence the temperature at 6 pm was of 4.9 - 5.5 = -0.6 ºF.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Write an equation in slope intercept form for the like with
y-intercept -4 and slope 6

Answers

Answer: y=6x-4



Step-by-step explanation: see attached.




help please! it’s Geometry

Answers

I can’t see the screen can you resend the photo

Please Help me ASAP.

Answers

40-19=21
21/7=3
X=3
Equation:
40=7x+19

a circular clock face has a diameter of 7 inches how many inches does the tip of the minute hand travel in a day

Answers

Answer:

14π inches

Step-by-step explanation:

Diameter of the clock = 7 × π = 7π

one day = 24 hours which means

2 clockwise turns around the clock

sooo 7π × 2 = 14π

Answer:

527.52 in

Step-by-step explanation:

To answer this question you have to find the circumference of the circle.

You have to use the formula below to find the circumference.

C = π d

Here,

d ⇒ diameter ⇒ 7 in

Let us solve it now.

C = π × d

C = 3.14 × 7

C =  21.98 in

So, the tip of the minute hand is traveling 21.98 in an hour.But they're asked for the distance traveled by the tip of the minute in a day.So, to find that we have to multiply the answer by 24 hours.

Let us find it now.

Distance traveled in a day = 21.98 × 24

                                            = 527.52 in

Calculate the side lengths of the given scale.

Answers

Answer:

x: 4metres

y: 8metres

Step-by-step explanation:

using scale 1:4

x:16 ÷ 4

y: 2×4

Solve for x assuming that the lines are tangent to the circle.

Answers

Answer:

x = 5

Step-by-step explanation:

Tangents from a specific point are equal in length.

3x - 7 = 18 - 2x

5x - 7 = 18

5x = 25

x = 5

PLS help i need this ASAP

Answers

Answer:

I beleive your answer would be ∡B

Step-by-step explanation:

Calculate the perimeter of the shape below. Show your work.

Answers

Answer:

88 ft

Step-by-step explanation:

The perimeter of a shape is the sum of the lengths of all its sides.

Perimeter of rectangle

= 2(length +breadth)

= 2(18 +26)

= 2(44)

= 88 ft

Noah is making grilled cheese sandwiches for friends. He has 24 ounces of cheese. He plans to split the cheese evenly between 6 sandwiches.

Write an equation to determine how many ounces of cheese, ccc, Noah can use on each sandwich.

Answers

Answer:

24 / 6 = ccc

Step-by-step explanation:

There is 24 oz of cheese total that will be split evenly (divided) into 6 parts.

Each part will equal one sandwich worth of cheese (ccc) on the other side of the equation.

This one is very simple to solve, you could just calculate 24/6 to get your answer. But I'll go through it using typical algebra you would use for a less simple equation.

To solve:

Multiply by 6 to cancel the division by 6 on the left side

24 = 6ccc

Divide by 6 to isolate ccc again

4 = ccc

So each sandwich would get 4oz of cheese.

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