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nata0808 [166]
3 years ago
15

Andrea is saving money for a car. She makes $13 an hour shampooing dogs at the local groomer. After 18% is subtracted from her p

aycheck she puts 50% of her remaining check in her savings account. Let x represent the number of hours Andrea works. Write an expression in simplest form that represents the amount of money Andrea saves each paycheck.
Mathematics
1 answer:
SSSSS [86.1K]3 years ago
3 0

Answer:

Saved money = 0.41x

Step-by-step explanation:

x : hours Andrea works

If the 18% is subtracted from her paycheck, she still has the 82% (100 - 18)

Then after that she has:

0.82x

Now Andrea saves 50% of the remaining check (0.82x)

Saved money = 0.5(0.82x)

Saved money = 0.41x

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Damien is buying tickets to a movie. The movie he and his friends want to watch cost $4.85 per ticket. Damien has $32.00 total.
skad [1K]

Answer:

6

Step-by-step explanation:

Setup a equation.

32=4.85x (x equals amount of people)

Then divide both sides.

x=6.60

Obviously you can't split a person into .6, so the greatest amount of tickets is 6

7 0
3 years ago
Read 2 more answers
Can you help me? i do not get it
Allushta [10]

Let's assume the question is to find the area of the shaded region.

7. We have to assume the bottom right angle is right as well.

Consider the white triangle at the bottom; call its left leg x.

Then the big tra pezoid which includes the shaded part has area

(1/2)((14 + x) + 26)(15)

and the bottom right triangle has area

(1/2)x(15)

and white triangle on the right has

(1/2)(26)(15 - 6)

The total area of the shared part is thus

(1/2)((14 + x) + 26)(15) - (1/2)x(15) - (1/2)(26)(15 - 6)

= (1/2)(15)(40 + x - x) - 13(9)

= 183

Answer: 183 sq in

8. That's an annulus, the difference between two circles.  The outer one has radius 21/2 m, the inner one radius 21/2 - 3.5.

A = πR²-πr² = π( (21/2)² - (21/2 - 3.5)² ) = π(2(21/2)(3.5) - 3.5²) = 3.5π(21-3.5)=61.25π

Answer: 61.25π sq m

9. That looks like a parallelogram less a right triangle.

The parallelogram has area 15(23.8)

The right triangle missing leg x satisfies

x² + 21² = 23.8²

x = 11.2

The right triangle area is

(1/2) (21)(11.2)

So the shaded area is

15(23.8) - (1/2) (21)(11.2) =239.4

Answer: 239.4 sq ft

10.  That's a circle less a square.  The diagonal of the square is 8√2 and the radius of the square is half of that, 4√2

The area is

π(4√2)² - 8² = 32 π - 64

Answer: 32π - 64 sq cm

8 0
3 years ago
Which of the following expressions is equal to g(x)?
Tatiana [17]

Answer:

Option D is right

Step-by-step explanation:

Given are two graphs.  The first one is given as

f(x) = log_{2} x\\

The second one equation we have to find out.

Option A given as

g(x) =\frac{1}{2}  log_{2} x is having x intercept as

(0,1/2).  But our g(x) has x intercept as 1.  Hence not correct.

Option B: g(x) = log_{2} \frac{1}{2} x

This has x intercept as (0,2).  Since does not match with g(x) not correct

OPtion C:

g(x) = log_{2} 2x

Here x intercept = 1 matches with ours.

Also g(2) = 2, twice as that of original f(x)

Hence option C is not  right

Option D is only right  because x intercept should be 1 and also when x=4 y=2(log 4 to base 2)

3 0
3 years ago
Read 2 more answers
What is The sum of the cost of dinner d and a $12 tip divided equally between 3 people?
TEA [102]
So, if you're trying to ask what 12 divided by 3 is, then the answer is four. (Using inverse operation), because 4x3=12. But, make sure you put the label! The answer is $4.
8 0
3 years ago
Which polynomial is a difference of two squares? x2 − 16 x2 + 16 x2 − 8 x2 + 8
mart [117]
Difference means subtract so we can reduce the choices right away to first and third choices. of the only the first is the difference of squares, namely x² - 4²
8 0
3 years ago
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