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Semmy [17]
3 years ago
13

A grocery store has a 13%-off sale on al breads. You decide to purchase 6 loaves of bread. Let b be the original price of a loaf

of bread. Expand the expression 6(b-0.13b). Once the expression is expanded, what do the terms represent
Mathematics
1 answer:
blagie [28]3 years ago
5 0

The term 6b represents the original price of loaves of bread and 0.78b represents the amount of discount on 6 loaves of bread.

Step-by-step explanation:

Given,

Sale = 13% off

Number of bread purchased = 6

Original price of loaf of bread = b

The given expression is;

6(b-0.13b)

Expanding the expression;

6b-0.78b

5.22b

Here;

The term 6b represents the original price of loaves of bread and 0.78b represents the amount of discount on 6 loaves of bread.

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What is 8. 05 × 10-5 in standard notation? 0. 0000805 0. 00000805 805,000 8,050,000.
krok68 [10]
It’s 0.0000805 (hope this helps!)
4 0
3 years ago
Mr. Jackson traveled to a city 170 miles from his home to attend a meeting. Due to car trouble, his average speed returning was
Umnica [9.8K]

Answer: the average speed at which he traveled to the city is 52.9 mph

Step-by-step explanation:

Let x represent the average speed at which he traveled to the city. Due to car trouble, his average speed returning was 8mph less than his speed going. It means that the speed at which he returned is (x - 8) mph.

Time = distance/speed

Assuming the distance travelled to and from the city is the same(170 miles), then

Time spent in travelling to the city is

170/x

Time spent in travelling back from the city is

170/(x - 8)

If the total time for the round trip was 7 hours, it means that

170/x + 170/(x - 8) = 7

Multiplying both sides of the equation by x(x - 8), it becomes

170(x - 8) + 170x = 7x(x - 8)

170x - 1360 + 170x = 7x² - 56x

7x² - 56x - 170x - 170x + 1360 = 0

7x² - 396x + 1360 = 0

Applying the general formula for solving quadratic equations which is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 7

b = - 396

c = 1360

Therefore,

x = [- - 396 ± √(- 396² - 4 × 7 × 1360)]/2 × 7

x = [396 ± √(156816 - 38080)]/14

x = [396 ± √118736]/14

x = (396 + 344.58)/14 or x = (396 - 344.58)/14

x = 52.9 or 3.7

Checking both values of x,

For x = 52.9

170/52.9 + 170/(52.9 - 8) = 7

= 3.2 + 3.8 = 7

Therefore, x = 52.9 mph

4 0
3 years ago
Give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at x = 4.
Greeley [361]

Answer:

Possibility 1: \frac{(x+1)(x+1)}{(x-4)(x+5)}

Possibility 2: \frac{(x+1)(x+3)(x-3)}{x(x-4)(x+5)}

Possibility 3: \frac{-4(x-4)(x+1)}{-4(x-4)(x-4)}

There are infinitely many more possibilities.

Step-by-step explanation:

So we are looking for a fraction in terms of x.

We have a horizontal asymptote so that means the degree of the top has to equal to degree of the bottom. It is also at y=1 which means the coefficient of the leading term on top and bottom must be the same (but not zero) since the same number divided by the same number is 1.  

Now we also have a vertical asymptote at x=4 which means we need a factor of x-4 on bottom.

So there is a lot of possibilities. Here are a few:

Possibility 1: \frac{(x+1)(x+1)}{(x-4)(x+5)}

You have the degrees are the same on top and bottom and the leading coefficients are the same.  You also have that factor of (x-4) on bottom.

Possibility 2: \frac{(x+1)(x+3)(x-3)}{x(x-4)(x+5)}

Possibility 3: \frac{-4(x-4)(x+1)}{-4(x-4)(x-4)}

Now a factor of (x-4) can be canceled here but you still have a factor of (x-4) left on bottom so you still have the vertical asymptote. You also still have the same leading coefficient on top and bottom (-4 in this case) and the same degree.

4 0
3 years ago
The equation 2(3x–4)= –(8–6x) has how many solutions.
zlopas [31]

Answer:

So infinite solutions

Step-by-step explanation:

Do all the parenthesis

6x-8=-8+6x

0=0

So infinite solutions

6 0
3 years ago
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Point A is at (-1, -9) and point M is at (0.5, -2.5).
rjkz [21]
I think the coordinates are (2, 4)
7 0
3 years ago
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