The product of two rational numbers is -25/18. If one of the numbers is -3/7, find the other

For the class of 2013's prom Norman's dress shop sold cheaper dresses for $90 each and more expensive dresses for $140 each. The

Tema [17]

Answer:

Number of cheaper dresses sold is 35

Number of expensive dresses sold is 15

Step-by-step explanation:

Given:

Cost of cheaper dresses = $90

Cost of expensive dresses = $140

Total cost of the dresses = $5250

To Find:

Number of cheaper dress = ?

Number of expensive dress = ?

Solution:

Let

The number of cheaper dresses be x

The number of expensive dresses be y

(Number of cheaper dresses X cost of cheap dress) + (Number of Expensive dresses X cost of expensive dress) = $5250

$x \times90 +y \times 140 = 5250$ = $5250

It is given that the 20 more of the cheaper dresses than the expensive dresses is sold

So,

number of cheaper dress = 20 + number of expensive dress

x = 20 + y---------------------------------------(1)

$(20+y) \times90 +y \times 140 = 5250 = 5250$

$(20 \times 90 +y\times 90) +y \times 140= 5250$

$1800 + 90y+ 140y = 5250$

$1800 + 230y = 5250$

$230y =5250 -1800$

$230y = 3450$

$y = \frac{3450}{230}$

y = 15

Substituting y in (1)

x = 20 +15

x= 35

5 0

3 years ago

34 divided by ten by the power of zero

Alex_Xolod [135]

the answer is 1 because 34 divided by 10 is 3.4 and anything to the zero power is always 1

3 0

2 years ago

She earns $3.10 for each hour she works and $2.30 for each bushel of apples she picks. Her goal is to earn at least $100 this we

nika2105 [10]

The inequality would be 3.1h + 2.3b ≥100

Step-by-step explanation:

Earning of Tammy for each hour of work= $3.1

Total hours she worked= h

Earning for picking each bushel of apple= $2.3

Total bushel she picks= b

Her goal = minimum of $100

Hence total earning from working= earning from each hour* no of hours worked

Total earning= 3.1h

Similarly, total earning from picking up apple bushels= earning from picking one bushel*no of bushels picked

Total earning= 2.3b

According to question total earning must be greater than $100

Hence, 3.1h + 2.3b ≥100

3 0

2 years ago

PLEASE HELP. Please show all work. Im giving 80 points to whoever answers it first.

mr_godi [17]

Answer:

1.1) B=12.42°, C=146.58°, c=15.37

1.2) B=8°, C=124°, c=35.7

2) In the case of SSA, when the given angle A is acute (<90°), the side "a" (opposite to the given angle "A") is less than the other given side "b" (a<b), and a > b sinA.

3.1) Perimeter = 31.37 units, Area = 16.5 square units

3.2) Perimeter = 73.70 units, Area = 75.6 square units

4.1) Magnitude of vector AB=5.1

4.2) Direction of vector AB=348.69°

5.1) The dot product of two vectors is equal to the sum of the product of their components

5.2) a . b = 10

6.1) Trigonometric form: z = 3√2 (cos 315°+ i sin 315°)

6.2) The 4th roots are:

w1 = 18^(1/8) [cos(78.75°) + i sin(78.75°)]

w2 = 18^(1/8) [cos(168.75°) + i sin(168.75°)]

w3 = 18^(1/8) [cos(258.75°) + i sin(258.75°)]

w4 = 18^(1/8) [cos(348.75°) + i sin(348.75°)]

Step-by-step explanation:

3.1) Perimeter: P = a+b+c → P = 10+6+15.37 → P = 31.37

Area: A = a b sinC / 2

Replacing the known values:

A = (10)(6) sin 146.58325418° / 2 → A = 60(0.55072472) / 2 →

A = 16.52174152 → A = 16.52 square units

3.2) Perimeter: P = a+b+c → P = 32+6+35.70 → P=73.70

Area: A = a b sin C /2

Replacing the known values:

A = (32)(6) sin 123.99036327° / 2 → A = 192(0.82913161) / 2 →

A = 75.59663485 → A = 75.6 square units

3 0

2 years ago

3/5 of 40$ restaurant Bill

Ad libitum [116K]

Hey there Willialili!

Fraction Question::

We first have to divide the number ($40) from the denominator of our fraction (5) - This would be 8! {40 / 5}

We then multiply this with our numerator which is 3! {8 x 3}

This gives us 24!

**Answer: 40$

Hope this helped :)

3 0

2 years ago

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