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S_A_V [24]
3 years ago
12

Claire buys a jacket that originally cost $76, the price is marked down 25%and Claire has a coupon to further reduce the price b

y 10%. How much does Claire pay for the jacket?
Mathematics
1 answer:
Sauron [17]3 years ago
5 0

Answer:

$51.30

Step-by-step explanation:

76 decrease 25% =

76 × (1 - 25%) = 76 × (1 - 0.25) = 57

57 decrease 10% =

57 × (1 - 10%) = 57 × (1 - 0.1) = 51.3

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In a lab, a substance was cooked by 42 C over a period of 7 hours at a constant rate. What was the change in temperature each ho
Mekhanik [1.2K]

Given that we have the change in temperature over 7 hours and we are looking for the change over 1 hour, we can divide the total change in temperature by 7. Thus, the change in temperature would be \frac{42}{7} C^{\circ}.


Additionally, this can be solved by equations:

\dfrac{42 \,\textrm{C}^{\circ}}{7 \,\textrm{hours}} = \dfrac{x \,\textrm{C}^{\circ}}{1 \,\textrm{hour}}

1 \,\textrm{hour} \cdot \dfrac{42 \,\textrm{C}^{\circ}}{7 \,\textrm{hours}} = x \,\textrm{C}^{\circ}

\dfrac{42}{7} \,\textrm{C}^{\circ} = x \,\textrm{C}^{\circ}

\dfrac{42}{7} = x


By using two different methods, we can determine that the change each hour was equal to 42/7 C° per hour.

6 0
3 years ago
Mark has 10 pens. Kate has 5 times as many pens as Mark.
Inessa05 [86]

Answer:

The third one, y = 5 x 10

Step-by-step explanation:

y = number of Kate's pens, 5 = how many times more pens Kate has than Mark, and 10 = how many pens Mark has.

5 0
2 years ago
Luke buys 4 bolts and 6 washers for $2.20 and Holly spends $1.80 on 3 bolts and 5 washers at the same local hardware store. Dete
blondinia [14]

Answer:

Cost of bolts = x = $0.3

Cost of washers = y = $0.167

Step-by-step explanation:

Let us represent:

Cost of bolts = x

Cost of washers = y

Luke buys 4 bolts and 6 washers for $2.20

Hence:

4x + 6y = 2.20....Equation 1

Holly spends $1.80 on 3 bolts and 5 washers at the same local hardware store.

3x + 5y = 1.80....Equation 2

Combining both Equations

4x + 6y = 2.20....Equation 1

3x + 5y = 1.80....Equation 2

Multiply Equation 1 by 3 and Equation 2 by 4 to eliminate x

12x + 18x = 6.6.....Equation 4

12x + 20x = 7.2.......Equation 5

Substract Equation 4 from 5

= 2x = 0.6

x = 0.6/2

x = $0.3

Solving for y

4x + 6y = 2.20....Equation 1

4 × 0.3 + 6y = 2.2

1.2 + 6y = 2.2

6y = 2.2 - 1.2

6y = 1.0

y = 1.0/6

y = $0.167

Cost of bolts = x = $0.3

Cost of washers = y = $0.167

8 0
2 years ago
In 1990, the rate of change of the world population was approximately 0.09125 billion per year (or approximately 1 million peopl
babunello [35]

Answer: Option A

P = 5.3 + 0.09125t

Step-by-step explanation:

Note that for the initial year, 1990, the population was 5.3 billion.

The exchange rate is 0.09125 billion per year. In other words, each year there are 0.09125 billion more people.

In year 2 there will be 0.09125 * 2 billion people

In year 3 there will be 0.09125 * 3 billion people

In year 4 there will be 0.09125 * 4 billion people

In year t there will be 0.09125 * t billion of people

So the equation that models the number of people that there will be as a function of time is:

P = P_0 + rt

Where P_0 is the initial population

P_0 = 5.3 billion

r is the rate of increase

r = 0.09125 billion per year

finally the equation is:

P = 5.3 + 0.09125t

The correct answer is option A.

6 0
3 years ago
Read 2 more answers
Which inequality represents the graph shown below?
Kaylis [27]
Option c is right that is x>-2 because point is open.
8 0
2 years ago
Read 2 more answers
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