Eric bought a ruler for $1.29 and an eraser for $0.39. He paid with $2.00. What is the correct amount of change he should get back?

Answer:

The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.

Step-by-step explanation:

A composite number is an integer that is not a prime number, that is, a number that can be divided only by one and itself. Let be [tex]n[/tex] the smallest composite number such that there are two positive integers [tex]x[/tex], [tex]y[/tex] such that [tex]x - y = 10[/tex] and [tex]x\cdot y = n[/tex]. [tex]n[/tex] is a positive integer, since both integers are positive. Then, we can use the following formula:

[tex](y+10)\cdot y = n[/tex]

[tex]y^{2}+10\cdot y = n[/tex]

[tex]y^{2}+10\cdot y - n = 0[/tex] (1)

We obtain the roots of this second order polynomial by means of the Quadratic Formula:

[tex]y = \frac{-10\pm \sqrt{10^{2}-4\cdot (1)\cdot (-n)}}{2}[/tex]

[tex]y = -5\pm \sqrt{25+n}[/tex] (2)

Given that [tex]y > 0[/tex], we must observe the following inequation:

[tex]-5\pm \sqrt{25+n}>0[/tex] (3)

[tex]\sqrt{25+n} > 5[/tex]

[tex]25 + n > 25[/tex]

[tex]n > 0[/tex]

Let is find the values of x and y by iterative means:

x = 11, y = 1

[tex](11)\cdot (1) = 11[/tex]

11 is not a composite number, but a prime number.

x = 12, y = 2

[tex](12)\cdot (2) = 24[/tex]

24 is a composite number, which contains the following product of prime numbers:

[tex]2^{3}\cdot 3 = 24[/tex]

The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.

Answer:

787.5

Step-by-step explanation:

Givens

The bottom part of the figure is a trapezoid. Solve it first

a = 15 cm

b = 34 cm

h = 19 cm

Formula

Area = 1/2 (a + b)*h

Solution Trapezoid

area = 1/2 (15 + 34)*19

Area = 1/2 * 49 * 19

Area = 465.5

Remark

The top half of the figure is a parallelogram.

Formula

Area = base * height

Givens

base = 23

height = 14

Solution

Area = 23 * 14

Area = 322

Total Area

Total Area = 322 + 465.5

Total Area = 787.5

I just it into a calculator and got 162.72. Hope this helps you! Have a nice day and a nice rest of the holidays!

The product of 4.52 times by 36 is 162.72

Given,

4.52 times by 36

We need to find the product.

Example:

2.3 x 3.4 = 7.82

There are two numbers after the decimal point.

In 2.3 there is one number after the decimal point.

In 3.4 there is one number after the decimal point.

Now,

1 + 1 = 2 numbers

7.82 has two numbers after the decimal point.

We have,

4.52 times by 36

4.52 x 36 = 162.72

4.52 x 6 = 27.12

4.52 x 3 = 13.56

         4.52

       x   36

        27.12

     13.56        

     162.72

4.52 has two numbers after the decimal point.

162.72 has two numbers after the decimal point.

Thus the product of 4.52 times by 36 is 162.72

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Answer:

7:17 PM

Step-by-step explanation:

Answer:

7:17................

Answer: basically rate of change is the rate either slow or fast the thing could be anything changes

Step-by-step explanation:

so i was soooooooo confused on that same thing when i studied it

Step-by-step explanation:

there is the thing Google a said

Answer: 3 minutes and 12 seconds

Step-by-step explanation: You can see 8 minutes every 10 days as a fraction (8/10). This can be simplified to 4/5, meaning that the amount of time gained will be 4/5 of the # of days that have passed. 4/5 of 4 days is 3.2 minutes, and that can be converted to 3 1/5. 60 seconds divided by 5 is 12 seconds, meaning that 1/5 of a minute is 12 seconds. Therefore, the answer is 3 minutes and 12 seconds.

The required equation is m = 42 - 6.50d which is the correct answer would be an option (C).

A linear equation is defined as an equation in which the highest power of the variable is always one.

We have been given that Reese had $42 in his pocket on Sunday night. He spent $6.50 every day for lunch.

Let d represents the number of days since Sunday, and m represents the amount of money remaining

Reese has 42 total and it subtracts by 6.50$ every day

According to the given question,

The linear equation would be as

m = 42 - 6.50d

The above model equation is the relationship between d, the number of days since Sunday, and m, the amount of money remaining

Therefore, the required equation is m = 42 - 6.50d.

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Answer:

Step-by-step explanation:

Step one:

given data

weekly earnings= $375

Commission is 4% of sales.= 0.4

supposing sale is x, and the total earning is y

the expression for the total earning will be

y=375+0.4x

Step two:

for x= 2513, y will be

y=375+0.4(2513)

y=375+1005.2

y=1380.2

Hence  her total earnings for the week will be $1380.2

Answer:

Scalene – none of the sides of the triangle have equal lengths

Isosceles – two sides of the triangle have the same length

Equilateral – all sides of the triangle have the same length

1. Equilateral

2. Scalene

3. Isosceles

4. Isosceles

5. Isosceles

6. Isosceles

7. Isosceles

8. Equilateral

Hope this helps! :)

Answer:

3/2-3/4a

Step-by-step explanation:

just solve for b basically, also the 3/2 and 3/4 is a fraction so they're over eachother but it wont let me do that on here so yeah. also sorry this is very late so i dont know if im any help.

The required function h(a) is a = -4b +18

A simplified function h for a-5=-4b+13 to be determine.

A function is defined as for every input their is a certain output.Function is a type of relation, or rule, that maps one input to specific single output.

Here, we have a-5=-4b+13

a−5=−4b+13

a = -4b + 13+ 5

a = -4b +18

Thus, the required function h(a) is a = -4b +18

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Answer:

TRUE

i think

Step-by-step explanation:

Answer and explanation:

We are told that Sarah has 600g of butter, 300g of caster sugar, 1kg of plain flour, and 500g of cornflour

We are also told that she found this list of ingredients for making 8 shortbread biscuits. The question isn't clear on whether the ingredients listed above are for the 8 shortbreads, or ingredients for 8 shortbreads were omitted.

We are told Sarah wishes to make as many shortbreads as possible.

To work out how many shortbreads Sarah can make, we need to know the ingredients required for one shortbread(or a number of shortbreads) and ingredients Sarah currently has. The question lists Sarah's ingredients and the number of shortbreads(8) that can be made with them, but doesn't go further than this. Therefore we can conclude that Sarah can only make 8 shortbreads given the amount of ingredients in her possession.

Answer:

x = 77 ft

Step-by-step explanation:

55 ÷ 45 = 1.222222222

1.222222222 x 63 = 77

Answer:

63+45 divided by 12 + 55 times 12 + 95 (is what i think is the approximate length of the shadow)

Step-by-step explanation:

then after you do all this round it to the nearest foot

Answer: c

Step-by-step explanation: i did the test

Answer:

2 and -2

Step-by-step explanation:

Answer:

the number 2

Answer:

8

Step-by-step explanation:

Get rid of the denominator first.  -Multiply both side by 2-

1/2 × 2 = 1 (n + 4) ----- n + 4

6 × 2 = 12

n + 4 = 12

Now solve for N

N = 12 - 4

N = 8

Answer:

-12

Step-by-step explanation:

-3x^2-5x  x is -3

-3(-3)^2-5(-3)

-27+15

Answer:

C

Step-by-step explanation:

the three binomial factors are (x+2)(x-1)(x-3)

Answer:

C

Step-by-step explanation:

Given a zero x = a then the corresponding factor is (x - a )

Here the zeros ( where the graph crosses the x- axis ) are at

x = - 2, x = 1 and x = 3

Thus the corresponding binomial factors are

(x - (- 2) ), (x - 1) and (x - 3), that is

(x + 2), (x - 1), (x - 3) → C

Answer:2.0 m/s,south

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

your equation can be written as: x + 3 = 11

subtract 3 from both sides to isolate x: x = 8

your answer is 8

Answer:

B

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

i hope this helps :)

Answer:

I think 42

Step-by-step explanation:

Answer:

X = 7

Step-by-step explanation:

Please mark brainliest.

Answer:

[tex]\huge\boxed{\sf x = -2}[/tex]

Step-by-step explanation:

4x - 2y = 5 -------------------------------(1)

y = 3x - 1 ----------------------------------(2)

Put Eq. (2) in (1)

4x - 2(3x-1) = 5

4x - 6x + 1 = 5

-2x + 1 = 5

Subtracting 1 to both sides

-2x = 5 - 1

-2x = 4

Dividing both sides by -2

x = 4 / -2

x = -2

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

Hope this helped!

Answer:

x=4

Step-by-step explanation:

Hope this helps!

Plz, mark brainiest! ^.^

Answer:

x = 4

Step-by-step explanation:

Use the distributive property to distribute the -3 amongst the 2x and the -3 in the parenthesis. Once distributed you should have -6x + 9 = -5x + 5. Next, you want to get all like terms on the same side, and to do that you must swap the +9 and the -5x. When you swap these, you must 'flip' the sign and change 9 to -9 and -5x to 5x. Now the equation should look like this: -6x + 5x = -9 + 5.

Now just solve. After solving, it should look like this: -1x = -4. Now to get rid of the negatives. Just divide each side by negative one and your answer is x = 4.

Answer:

it's b.

Step-by-step explanation:

Answer:

B. 4.0 x 10^-3

Step-by-step explanation:

Correct answer on edge 2022.