All categories

4 years ago

Match the following equation to the correct situation.

Mathematics

1 answer:

uranmaximum [27]4 years ago

8 0

Answer:

The equation given in the question matches the situation C.

Step-by-step explanation:

A. The amount that Cindy paid for books was 15% of p i.e. it is only $\frac{15p}{100} = 0.15p$

B. The amount is given to a charity after saving 15% of p. That means if p is the amount of charity, then there were a savings of 15% of p.

Therefore, the total charity payment after savings = p - 15% of p = $p - \frac{15p}{100} = p - 0.15p = 0.85p$

C. The amount that Sandy paid for a shirt with 15% tax on p.

Therefore, if the price of a shirt is p, then total payment of Sandy after tax is = p + 15% of p = $(p + \frac{15p}{100}) = p + 0.15p = 1.15p$

Hence, the equation given in the question matches the situation C. (Answer)

You might be interested in

Hi please i nedd help with these questions .

Vlad1618 [11]

Answer:

Step-by-step explanation:

#1:

$\frac{18m^2u}{16n^3v^2} \div \frac{24m}{15nu^3}*\frac{8n^2v^3}{30m^3u}$

division sign means that we flip the fraction

$\frac{18m^2u}{16n^3v^2} * \frac{15nu^3}{24m}*\frac{8n^2v^3}{30m^3u}$

now we can multiply all the constants together and all variables

$m: (m^2)/(m*m^4) = (m^2)/(m^4) = 1/(m^2)\\u: (u * u^3)/(u) = (u^4)/(u) = u^3\\n: (n*n^2)/(n^3) = 1\\v: (v^3) / (v^2) = v\\(18*15*8)/(16*24*30) = \frac{3}{16}$

now we can combine all the parts

$\frac{3u^3v}{16m^2}$

#2:

$\frac{24a^2b^3c}{9bc^3}\div\frac{4a^5bc^3}{27a^3b^2c}$

$\frac{24a^2b^3c}{9bc^3}*\frac{27a^3b^2c}{4a^5bc^3}$

$a: (a^2 * a^3)/(a^5) = 1\\b: (b^3 *b^2)/(b*b) = b^3\\c: (c*c)/(c^3*c^3)= 1/(c^4)\\(24*27)/(9*4)= 18$

$\frac{18b^3}{c^4}$

3 0

3 years ago

Read 2 more answers

Jack's mother gave him 50 chocolates to give to his friends at his birthday party. He gave 3 chocolates to each of his friends a

Elis [28]

Answer:

Equation: 3x + 2 = 50

# of friends: 16

Step-by-step explanation:

3 chocolates each or 3x because what "each" means is not known yet-

<em>Note: Always use x for an unknown value</em>

2 remaining chocolates-

3x + 2

50 total chocolates-

3x + 2 = 50

Remove two to keep the x alone-

3x = 48

Remove the 3 or the "Coefficient" by dividing-

48/3 = 16

x = 16

Equation: 3x + 2 = 50

# of friends: 16

8 0

3 years ago

Which of the following is a solution to the inequality below?

Leni [432]

Answer:

m < - 6.4

Step-by-step explanation:

- 4 + 10m < - 68 ( add 4 to both sides )

10m < - 64 ( divide both sides by 10 )

m < - 6.4

3 0

2 years ago

Read 2 more answers

3x+2y=6 and y=-3/2x+5

love history [14]

In order to solve for parallel, perpendicular, or neither, you have to look at the slope.

If the slope is the same for both equations, it is most likely parallel.
If it's the reciprocal (Where you flip the number and add change the signs. For example, the reciprocal of 1/2 is -2)
If the slope is not the same or the reciprocal, then it is neither.

So for the first equation, your slope is:
3x+2y=6
2y=-3x+6
y=-3/2x+3 The equation y=mx+b can help you here, where m is the slope.
Your slope is -3/2

For the second equation, your slope is -3/2 since y=-3/2x+5 is already in y=mx+b form and m is the slope.

Since both slopes are -3/2, then you have parallel equations!

(Be careful though, sometimes it will have the same slope but there will also be the same y-intercept. If that happens, it's no longer parallel, but it's the same equation. Such as y=-3/2x+1 and y=-3/2x+1. In this case there will be infinite solutions, but parallel equations have no solutions.)

I hope this helps!! Please ask if you have more questions!

6 0

3 years ago

A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle

saw5 [17]

Answer:The unicycle would travel 226.29 inches in 6 revolutions.

Step-by-step explanation:

8 0

3 years ago