To ensure profits, a store is going to sell a sweater for 115 percent of the production cost. It costs $10 to make the sweater. Below are the calculations for finding the selling price. What mistake did the store owner make? (Original Cost)(Percent) = New Cost ($10)(0.115) = $1.15 The new cost is correct. The owner should have divided by 0.115. The owner should have multiplied by 11.5. The owner should have multiplied by 1.15.

Answer: False

Step-by-step explanation: First, you are going to multiply the numbers in the first set of parenthesis, getting 72. Now, have 72 take the place of 12x6 in the equation. Your new equation looks like this: 0.3 x 72 = 0.4(12-3).

Going off of step one, you will be doing the same thing with the second set, but you will be subtracting instead. You will get 9, and plug it place of the parenthesis. Your equation now looks like o.3 x 72 = 0.4 x 9.

Next, you will multiply the set of numbers on the left side of the equal sign, getting 21.6. You now have an equation of 21.6 = 0.4 x 9.

Going off of step 3, you are going to do the exact same thing we did in step 3. Multiply 0.4 and 9, and you will get 3.6. The equation now looks like 21.6 = 3.6.

Now, the inequality is false because the left-hand side and right-hand side are two completely different numbers. A bigger number cannot be equal to a smaller number.

Hope this helps!

Answer:

3

1

4

-2

Step-by-step explanation:

imma math mannnnn

Answer:

Step-by-step explanation:

[tex]\frac{3}{2} + \frac{2m}{9} = \frac{37}{18}[/tex]

Multiply through by 18 to eliminate the fraction

That's

[tex]18 \times \frac{3}{2} + 18 \times \frac{2m}{9} = 18 \times \frac{37}{18} \\ 27 + 4m = 37[/tex]

Subtract 27 from both sides

That's

[tex]27 - 27 + 4m = 37 - 27 \\ 4m = 10[/tex]

Divide both sides by 4

That's

[tex] \frac{4m}{4} = \frac{10}{4} [/tex]

We have the final answer as

[tex]m = \frac{5}{2} [/tex]

Hope this helps you

[tex]\Huge{\boxed{\sf{\red{m = \frac{5}{2}}}}}[/tex]

[tex]\displaystyle{\sf{ \frac{3}{2} + \frac{2m}{9} = \frac{37}{18}}} [/tex]

| ∵ Transposing 3/2 to R.H.S

[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{2m}{9} = \frac{37}{18} - \frac{3}{2}}} [/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{2m}{9} = \frac{37-27}{18}}} [/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ \frac{2m}{9} = \frac{10}{18} = \frac{5}{9}}} [/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ 2m = \frac{5}{9} \times 9}} [/tex]

[tex]\implies[/tex] [tex]\displaystyle{\sf{ 2m = 5}} [/tex]

[tex]\longrightarrow[/tex] [tex]\large{\boxed{\sf{\red{ m = \frac{5}{2}}}}}[/tex]

Answer:

9,000,000

Step-by-step explanation:

Since the 5 next to the 8 is a number with a value of 5 or higher, you can round the 8 up to a 9 thus rounding to the nearest million.

Answer:

Two rays that share the same endpoint form an angle. The point where the rays intersect is called the vertex of the angle. The two rays are called the sides of the angle. An angle is also the space between the sides.

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

The square root of 16 is 4, and 4 + 1.5 is = to 5.5. An irrational number is defined as infinite and never-ending. Since 5.5 is not infinite, we can conclude that it isn't irrational.

Answer:

mode = maximum repeated item

here mode = 4.2

Answer:

1/2b=-4+16

1/2b= 12

b=12×2

b=24

Answer:

constants = -16 and -4

coefficients are 1/2

Step-by-step explanation:

a constant is a number not attached to a variable. a coefficient is a number attached to a variable

Answer:

r = 7

Step-by-step explanation:

Step 1: Write out equation

4r + 7 = 35

Step 2: Subtract 7 on both sides

4r + 7 - 7 = 35 - 7

4r = 28

Step 3: Divide both sides by 4

4r/4 = 28/4

r = 7

Solve 4r+7=35

4r=35-7

4r=28

r=7

:)

you calculate for the LCM of the denominator

9

7

6

5

which Thier Lcm is 630

The number 4.5x10⁻⁶ can be expressed in standard notation as decimal 0.0000045.

In scientific notation, numbers are expressed as a decimal number between 1 and 10 multiplied by a power of 10. In this case, 4.5 is the decimal number and 10⁻⁶ represents the power of 10.

To convert this to standard notation, we move the decimal point six places to the left to match the negative exponent of 10⁻⁶. This gives us:

0.0000045

In standard notation, this number is written as 0.0000045, where the zeros after the decimal point indicate the value of the number in the place of each digit. The last non-zero digit in this case is 5, which is in the sixth decimal place.

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The complete question:

What is 4.5x10⁻⁶ in standard notation?

Answer:

Susie rounded to the nearest thousandth.

Step-by-step explanation:

since the 100th place is 0 it would round down to 39,000 when you are rounding to the nearest thousand.

Answer:

y=-2

Step-by-step explanation:

9(y−4)−7y=5(3y−2)

(9)(y)+(9)(−4)+−7y=(5)(3y)+(5)(−2)

9y+−36+−7y=15y+−10

(9y+−7y)+(−36)=15y−10

2y+−36=15y−10

2y−36=15y−10

Step 2:

2y−36−15y=15y−10−15y

−13y−36=−10

Step 3:

−13y−36+36=−10+36

−13y=26

divide

/13     /13

y=-2

Answer:

y=-2

Step-by-step explanation:

Simplifying

9(y + -4) + -7y = 5(3y + -2)

Reorder the terms:

9(-4 + y) + -7y = 5(3y + -2)

(-4 * 9 + y * 9) + -7y = 5(3y + -2)

(-36 + 9y) + -7y = 5(3y + -2)

Combine like terms: 9y + -7y = 2y

-36 + 2y = 5(3y + -2)

Reorder the terms:

-36 + 2y = 5(-2 + 3y)

-36 + 2y = (-2 * 5 + 3y * 5)

-36 + 2y = (-10 + 15y)

Solving

-36 + 2y = -10 + 15y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-15y' to each side of the equation.

-36 + 2y + -15y = -10 + 15y + -15y

Combine like terms: 2y + -15y = -13y

-36 + -13y = -10 + 15y + -15y

Combine like terms: 15y + -15y = 0

-36 + -13y = -10 + 0

-36 + -13y = -10

Add '36' to each side of the equation.

-36 + 36 + -13y = -10 + 36

Combine like terms: -36 + 36 = 0

0 + -13y = -10 + 36

-13y = -10 + 36

Combine like terms: -10 + 36 = 26

-13y = 26

Divide each side by '-13'.

y = -2

Simplifying

y = -2

Answer:

3m=18+12

3m=30

divide both sides by 3

m=10

Answer:

m = 10

Step-by-step explanation:

3m - 12 =18

Add 12 to each side

3m - 12+12 =18+12

3m = 30

Divide by 3

3m/3 = 30/3

m = 10

Answer:

4

Step-by-step explanation:

just subtract 4.5 from 8.5

A fraction is a way to describe a part of a whole. The distance between 8 1/2 and 4 1/2 is 13 feet.

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,

2 1/2 = (2×2 + 1)/2

= 5/2

= 2.5

Now, the distance between them

Distance = (8 1/2) feet + (4 1/2) feet

Converting Mixed fractions to fractions,

(8×2 + 1)/2  +  (4×2 + 1)/2

= 17/2 + 9/2

= (17+9)/2

= 26/2

= 13 feets

Hence, the distance between 8 1/2 and 4 1/2 is 13 feet.

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Answer:

[tex]MP= (-6,3)[/tex]

Step-by-step explanation:

[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{6+-6}{2} )(\frac{12+-6}{2} )\\MP= (\frac{-12}{2} )(\frac{6}{2} )\\MP= (-6,3)[/tex]

Answer:

5/4

Step-by-step explanation:

(y₂ - y₁) / (x₂ - x₁)

(4,9) (-8, -6)

plug in

(-6 - 9) / (-8 - 4)

solve within parentheses

-15/-12

simplify

5/4

what is the slope of points (4,9) (-8,-6)

Answer:

5/4

The dimensions of this rectangle are 4 units by 3 units

4 units * 3 units = 12 sq units

Answer:

slope is undefined

Step-by-step explanation:

x = - 5 is the equation of a vertical line, parallel to the y- axis.

The slope of a vertical line is undefined.

Answer:

Step-by-step explanation:

(5x + 4)(x^2 - 7x + 12)

5x^3 - 35x^2 + 60x + 4x^2 - 28x + 48

5x^3 - 31x^2 + 32x + 48

Answer:

[tex]\huge\boxed{x=12}[/tex]

Step-by-step explanation:

If B is the midpoint of line AC, we know that lines AB and BC will be equivalent to each other.

Since we know the measures of AB and BC, we can just set these expressions equal to each other and find the value of [tex]x[/tex].

[tex]6x - 27 = 3(x+3)[/tex]

Let's simplify this equation until we have [tex]x[/tex] on one side of it.

[tex]6x-27=3x+9\\\\6x=3x+36\\\\3x=36\\\\x=12[/tex]

Hope this helped!

Answer:

1) 21

2) -10

3)10

4)50

5) 3,700

Answer:

7/8

Step-by-step explanation:

Given the length of the actual movie time and the length of the total movie time, the actual movie is 7/8 of the total movie time.

Given the data in the question;

Total time of the movie is 2 hours and 40 minutes = 160 minutes

Preview time is 20 minutes

Now time of the actual movie will be;

Total time of the movie - Preview time

2 hours and 40 minutes - 20 minutes

160 minutes - 20 minutes

Time of the actual movie is 140 minutes

Now we get the fraction

Time of the actual movie / Total time of the movie

= 140 minutes / 160 minutes

= 14/16

= 7/8

Therefore, given the length of the actual movie time and the length of the total movie time, the actual movie is 7/8 of the total movie time.

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