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Leya [2.2K]
3 years ago
7

Match the following equation to the correct situation.

Mathematics
1 answer:
uranmaximum [27]3 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)

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If 5/9 of a tank can be filled in 2 minutes how many minutes will it take to fill the whole tank
asambeis [7]

Answer:

3 3/5 minutes

Step-by-step explanation:

Let one measure of volume be 5/9 of a tank, or (5/9)(tank).

We're interested in filling the whole tank, which we represent by (1)(tank) or (9/9)(tank.

Write and solve an equation of ratios:

 (5/9) (tank)        2 minutes

------------------- = ----------------

  (9/9) (tank)               x

Solve for x, which represents the number of minutes required to fill the whole tank:

(5/9)(x) = (9/9)(2), or (after simplifying) 5x = 18, or x = 18/5 (3  3/5 minutes)

The whole tank will be filled in 3  3/5 minutes.

8 0
3 years ago
A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with A random s
wel

Answer:

95%: (3278.354 ; 3270.083)

99% : (3221.646 ; 3278.354)

Step-by-step explanation:

Given :

Sample size, n = 12

Mean, xbar = 3250

Sample standard deviation = √1000

The 95% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.05, df=12-1 = 11 ;

Tcritical at 95% = 2.20

Hence,

Margin of Error = (2.20 * √1000/√12) = 20.083

Confidence interval : 3250 ± 20.083

Lower boundary = 3250 - 20.083 = 3229.917

Upper boundary = 3250 + 20.083 = 3270.083

2.)

The 99% confidence interval :

Mean ± Margin of error

Margin of Error = Tcritical * s/√n

Tcritical at 0.01, df=12-1 = 11 ;

Tcritical at 99% = 3.106

Hence,

Margin of Error = (3.106 * √1000/√12) = 28.354

Confidence interval : 3250 ± 28.354

Lower boundary = 3250 - 28.354 = 3221.646

Upper boundary = 3250 + 28.354 = 3278.354

3 0
3 years ago
One photoshop charges $0.36 per print. Another photoshop charges $2.52 plus $0.08 per print. Juan finds that the cost of printin
Rufina [12.5K]
He would have to print 9
7 0
3 years ago
Read 2 more answers
1/5 divided by 3 is what
Vsevolod [243]

Answer:

the answer would be 1/15, or approximately 0.067.

Step-by-step explanation:

8 0
3 years ago
Solve for q.<br> a=qb+r<br> What is q equal to?<br> q=a−r−b<br> q=a−r/b<br> q=a/b −r<br> q=a/rb
Mademuasel [1]

The given equation is a=qb+r

We need to solve the equation for q.

<u>Value of q:</u>

The value of q can be determined by solving the equation a=qb+r for q.

Thus, subtracting both sides of the equation by r, we get;

a-r=qb

Now, dividing both sides of the equation by b, we have;

\frac{a-r}{b}=\frac{qb}{b}

Simplifying the terms, we get;

\frac{a-r}{b}=q

Therefore, the value of q is q=\frac{a-r}{b}

Hence, Option B is the correct answer.

7 0
3 years ago
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