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Doss [256]
3 years ago
8

If 12 shirts and a dress cost $450 and a dress costs the same as 3 shirts, then how much does a dress cost?

Mathematics
1 answer:
Dovator [93]3 years ago
8 0

First, let's identify some variables:

d = dress price

s = shirt price

d = 3s

12s + d = 450

Because d = 3s, we can substitute the variable:

12s + 3s = 450

15s = 450

s = 30

The shirt costs $30, and the dress $10

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Prove this trigonometric equation;<br><br> - tan^2x + sec^2x = 1,
alekssr [168]
Hey there :)

- tan²x + sec²x = 1    or    1 + tan²x = sec²x

sin²x + cos²x = 1 
Divide the whole by cos²x

\frac{sin^2x}{cos^2x} + \frac{cos^2x}{cos^2x} = \frac{1}{cos^2x}

\frac{sinx}{cosx} = tanx so \frac{sin^2x}{cos^2x} = tan^2x
and
\frac{1}{cosx} = secx so \frac{1}{cos^2x} = sec^2x

Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}

1 = - tan²x = sec²x or sec²x - tanx = 1

3 0
3 years ago
A water park charges a rental fee plus $1.50 per hour to rent inflatable rafts. The total cost to rent a raft do 6 hours is $15.
djyliett [7]

Answer:

rental fee = $6

average cost for 6 hours = $2.50/hour.

Step-by-step explanation:

x + 1.50*6 = 15       where x = the initial rental fee

x + 9 = 15

x = $6

The rental fee is $6.

For 6 hours, the cost per hour works out to 15/6 = $2.50

4 0
3 years ago
What do landforms include
olganol [36]

Answer:

A landform is a feature on the Earth's surface that is part of the terrain. Mountains, hills, plateaus, and plains are the four major types of landforms. Minor landforms include buttes, canyons, valleys, and basins. Tectonic plate movement under the Earth can create landforms by pushing up mountains and hills.

7 0
2 years ago
Directions: Foil the following if the answer is not standard form then standardize it.
Hatshy [7]
The answer to your question is 4x^2+11x-20
4 0
3 years ago
Read 2 more answers
How to factor this expression <br><br>x^3 - 4x^2 + 4x - 16
Natalija [7]
X²(x - 4) +4 (x - 4)

(x² + 4) (x - 4)

First find the common terms that can enter into both x³ and 4x² then write its down in this case it’s x² that can enter x³ leaving only x _since x³/x² = subtract of the indices. x² will also enter 4x² leaving only four hence you having x² (x - 4)
then do the same for the next pair of terms giving you 4 that can enter into both 4 and 16
Leaving you with +4 (x - 4)

Now you can put the common terms together like so (x² + 4) and choose get one of the other two which are the same= (x - 4)
= (x² + 4) (x - 4)
8 0
3 years ago
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