A new sweater cost $15.99.. If the sweater was on sale for 1/4 off it's price, about how much would you save?

Answer:

x =  negative 5 over 8  or
-0.625

Step-by-step explanation:

Isolate the variable by dividing the 2 sides

Answer:

x=-10/7

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable

Exact Form: x= -10/7

Decimal Form: x= -1.428571.........

Mixed Number Form: x= -1 and 3/7

Answer:

\(A=\frac{ab}{2}\) or \(A = a *\sqrt{c^2-a^2} /2\)

Step-by-step explanation:

Depending on the values you take depends on the equation you would use to solve for the area of a right triangle(the first answer accounts for measuring both arms(the sides connected to the 90 degree angle(a and b)), where as the second answer accounts for using the hypotenuse and one of the arms). That means that a 90 degree angle is involved, or as illustrated here, the square in the bottom right corner. If this were a non-right angle triangle, a different formula utilizing the height of the triangle would be used instead.

\(A = \frac{h_{b}+b}{2}\)

Since the right angle exists, a height is already given using one of the arms of the triangle in its place. We can also confirm it is a triangle by adding up all degrees of the triangle, in which it would equal 180 degrees confirming it is indeed a triangle as well.

By using trigonometric relations we will see that the area is:

How to find the area of one triangular section?

Remember that the area of a right triangle is equal to the product between the cathetus divided by 2.

Sadly, here we don't have the measures of any sides of the triangle, so getting the actual area is impossible, but if we assume that some dimension is given (like the height, let's say that is h).

h is the cathetus adjacent to the 60° angle, then the other cathetus (the bottom one) is given by:

tan(60°) = x/h

x = tan(60°)*h

Then our two catheti are h and tan(60°)*h.

This means that the area will be:

Here we only used trigonometric properties, so this area will work for any height given (always that the value of h is the cathetus adjacent to the 60° angle).

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Answer

Step-by-step explanation:

Answer:

Option #4

Step-by-step explanation:

Expand option #4

=-3(1-2x)

=-3 -2x*-3

=-3+6x which is what your original equation was.

Answer:

b

Step-by-step explanation:

Answer:

C. 40%

Step-by-step explanation:

There was a total of 30 girls surveyed. Out of those 30 girls 12 prefered soccer to baseball. 30/12 = 0.4 which is equivalent to 40%.

3(a-4)+1=9-a

or, 3a-12+1=9-a

or,3a+a=9+13

or,4a=22

a=22÷4

a=5.5ans

Answer:

A. 24 lap/hour.

B. r = 24h

Answer:

it is c option 50 degree it must

Answer:

C

Step-by-step explanation:

if you subtract the beginning height from the ending height, you can see how high the plant grew between the beginning and end, ex. 44-6=38

Answer:

1. r=5 2. x=2 3. x=-3 4. y=11 5. x=-11

Step-by-step explanation:

1. 7r-7=2r+18

combine

5r=25r

divide

r=5

5. 3(x-4)=5(x+2)

multiply

3x-12=5x+10

combine

-2x=22

x=-11

Answer:

3/4+3/4+3/4+3/4. 3/4×4/1 or 0.75×4

Step-by-step explanation:

If i had to answer this, this would be my best geuss

Answer: i got you dw 3/4 + 3/4 + 3/4 + 3/4 =( 3+3+3+3)/4=12/4=3

Step-by-step explanation:

Answer:

12miles

Step-by-step explanation:

wink :)

Answer:

CFD and DFE

Step-by-step explanation:

Supplementary angles are 2 angles that equal 180 degrees.

Answer:

angles EFB and BFC

angles CFD and DFE

Step-by-step explanation:

Both pairs of angles are supplementary because they are adjacent and have a sum of 180 degrees

Answer:

One-fifth times one-fifth times one-fifth times one-fifth = StartFraction 1 Over 625 EndFraction

Step-by-step explanation:

1/5^4 = 1/5 * 1/5 * 1/5 *1/5 = 1/625

The expanded form of (One-fifth)⁴ is "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction," and its value is "StartFraction 1 Over 625 EndFraction."

              The expanded form of (One-fifth)⁴ can be derived by multiplying (1/5) four times. Each multiplication represents multiplying by one-fifth, resulting in "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction." This can be further simplified as "StartFraction 1 Over 625 EndFraction" by multiplying the numerators and the denominators separately.

              In mathematical terms, when we raise one-fifth to the power of 4, we are essentially multiplying one-fifth by itself four times. Thus, (One-fifth)⁴ is equal to "StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction times StartFraction 1 Over 5 EndFraction."

            Evaluating this expression yields the value "StartFraction 1 Over 625 EndFraction" since multiplying the numerators (1 * 1 * 1 * 1) and the denominators (5 * 5 * 5 * 5) results in 1 and 625, respectively.

           Mathematical representation:  \(\frac{1}{5}^4= \frac{1}{5} * \frac{1}{5} * \frac{1}{5} * \frac{1}{5}\)

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Answer:

A) Nucleus

Step-by-step explanation:

By housing the cell's genome, the nucleus serves both as the repository of genetic information and as the cell's control center. DNA replication, transcription, and RNA processing all take place within the nucleus, with only the final stage of gene expression (translation) localized to the cytoplasm.

Answer: 27.62

Step-by-step explanation:

plug in 2.3 wherever 'n' is

I'm assuming that the '2' in 8n2 is an exponent

2.3 + 8(2.3)² - 17 =

Using PEMDAS

start out with exponent since there isn't any parenthesis  

(2.3)² = 5.29

2.3 + 8(5.29) - 17

move on to multiplication

8(5.29) = 42.32

2.3 + 42.32 - 17

with addition and subtraction, you do whichever comes first and since this equation starts with addition we'll start there

2.3 + 42.32 = 44.62

then the subtraction

44.62 - 17 = 27.62

Answer:

Step-by-step explanation:

The answer is 27.62

Answer:

over 36000

Step-by-step explanation:

It is said that over 36000 tiles or stones were used to make the Washington monument. Step-by-step explanation: The Washington monument stands tall at 555 feet and 5 1/8 inches with a width of 55 feet . This monument is built by using three different stones.

Answer:

36,000

Step-by-step explanation:

It is said that over 36000 tiles or stones were used to make the Washington monument. Step-by-step explanation: The Washington monument stands tall at 555 feet and 5 1/8 inches with a width of 55 feet . This monument is built by using three different stones.

Answer:

why is the dolphin being dumb and why is the diver be retarted

Answer:

-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. Vertical

2. Sup

3. Adj angles

4.sup

5. Vertical

6. No relationship

Answer: $6.05

Step-by-step explanation:

20% of $30.25

(30.25)(.20)=6.05

Answer:

To find the correct selling price, we need to first find the cost of the item plus the markup. We can do this by multiplying the cost of the item by the markup percentage: $6 * 67% = $4.02. However, since the question asks us to round to the nearest dollar, we can round this number down to $4.

Therefore, the correct selling price is $4.

The manager's likely error was that they set the selling price at the cost (option C).

Step-by-step explanation:

The correct selling price is $10 and the manager set the selling price at the markup so option (A) is correct.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

As per the given,

Cost of item = $6

Markup = 67%

67% of $6 ⇒ 0.67 x 6 = $4.02

Add the markup in the cost = $6 + $4.02 = $10.02

Round to nearest dollars = $10.2 ≈ $10.

The manager put $4 which is a markup instant of the selling price of $10.

Hence "The correct selling price is $10 and the manager set the selling price at the markup".

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Answer:

Step-by-step explanation:

4/1 x  1/3= 1 1/3