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3 years ago

Find the markup and the cost of the following item. Round answers to the nearest cent.

Mathematics

1 answer:

scoray [572]3 years ago

8 0

Answer:

1st question: M=22.62 while C=75.38

2nd question: M=.22 while C=1.97

Step-by-step explanation:

If a mirror costing x dollars is marked up 30%, then we have to find x such that 30%x+x is 98 dollars.

We are solving:

.3x+x=98

Combine like terms:

1.3x=98

Divide both sides by 1.3:

x=75.38

M=98-75.38=22.62

C=75.38

So M=22.62 while C=75.38.

If ream of paper cost x and is marked up 11%, then we have to find x such that 11%x+x is 2.19.

We are solving:

.11x+x=2.19

1.11x=2.19

x=1 97

M=2.19-1.97=.22

So M=.22 while C=1.97

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LCD of 11/12 and 7/60

goldfiish [28.3K]

LCD is 12.
12 goes into 12 once. 12x1=12
12 goes into 60 five times. 12x5=60

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3 years ago

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Divide. 413÷129 Enter your answer, as a mixed number in simplest form, in the box.

kompoz [17]

For this case we must divide the following expression:

$\frac {413} {129}$

The expression can not be simplified. When dividing we have that its decimal form is given by:

3,201550

If we convert to a mixed number we have:

$3 \frac {26} {129}$

Verifying:

$3 \frac {26} {129} = \frac {129 * 3 + 26} {129} = \frac {413} {129}$

Answer:

$3 \frac {26} {129}$

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3 years ago

Which solution set is graphed on the number line? A number line going from negative 4 to positive 4. An open circle is at 1. Eve

lidiya [134]

Answer:

an open circle means it contains no equal signs.....everything to the left is shaded....means it is less then

x < 1 (thats a less then sign only) ....no equal sign in there

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3 years ago

Read 2 more answers

Rick and Sara have two children, Marcos and Jade. Use the clues to determine their ages. Rick is 4 years younger than Sara. Marc

Morgarella [4.7K]

Step-by-step explanation:

Let age of rick = x

age of sara = y

age of marcos = a

age of jade = b

Rick is 4 years younger than Sara.

x = y - 4

Marcos is 3 years older than Jade.

a = b + 3

Rick's age is twice the age of Marcos and Jade's ages combined.

x = 2(a+b)

The youngest is 9 years old.

The youngest is jade because rick and sara are the parents and marcos is older than she is.

b = 9

How old is each??

a = b + 3

a = 9 + 3 = 12

Marcos is 12 years old

x = 2(a+b)

x = 2 (12 + 9)

x = 2 (21) = 42

Rick is 42 years old

x = y - 4

42 = y - 4

y = 42 + 4 = 46

Sara is 46 years old

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3 years ago

Express sin A,cos A and tan A as ratios

OverLord2011 [107]

Answer:

Part A) $sin(A)=\frac{2\sqrt{42}}{23}$

Part B) $cos(A)=\frac{19}{23}$

Part C) $tan(A)=\frac{2\sqrt{42}}{19}$

Step-by-step explanation:

Part A) we know that

In the right triangle ABC of the figure the sine of angle A is equal to divide the opposite side angle A by the hypotenuse

$sin(A)=\frac{BC}{AB}$

substitute the values

$sin(A)=\frac{2\sqrt{42}}{23}$

Part B) we know that

In the right triangle ABC of the figure the cosine of angle A is equal to divide the adjacent side angle A by the hypotenuse

$cos(A)=\frac{AC}{AB}$

substitute the values

$cos(A)=\frac{19}{23}$

Part C) we know that

In the right triangle ABC of the figure the tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A

$tan(A)=\frac{BC}{AC}$

substitute the values

$tan(A)=\frac{2\sqrt{42}}{19}$

8 0

3 years ago