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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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Ann's first option is a plot of land adjacent to a current park.
oksian1 [2.3K]

Given:

The equation for the area of the first option is:

x^2+200x=166400

Where x is the side length of the current square park.

To find:

The side length of the current square park.

Solution:

We have,

x^2+200x=166400

It can be written as:

x^2+200x-166400=0

Splitting the middle term, we get

x^2+520x-320x-166400=0

x(x+520)-320(x+520)=0

(x-320)(x+520)=0

x=320,-520

We know that the side length of a park cannot be negative. So, the only possible value of x is 320.

Therefore, the most direct method to solve the given equation is splitting the middle term and the side length of the current square park is 320 meters.

4 0
2 years ago
Each number in pascal's triangle is the ___ of the two numbers directly above it in the previous row.
mrs_skeptik [129]
Sum. To build the triangle, start with 1 at the top, then continue placing numbers below it in a triangular pattern. Each number is the numbers directly above it added together.
5 0
3 years ago
The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents
nirvana33 [79]

Since x represents the year, year 15 will be 15 years.

Plug in "15" as your "x"

y = -2(15)^2 + 36(15) + 6

15^2 = 225 (Exponents come before multiplication)

y = -2(225) + 36(15) + 6

y = -450 + 540 + 6

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<em>The answer is B</em>

3 0
3 years ago
Plz Help
Afina-wow [57]
We are asked in the problem to determine the value of x in the equation <span>4x² + 2x = 7 using completing the square method. in this case,

</span><span>4x² + 2x = 7 
x2 + 0.5 = 1.75
(x + 0.25)^2 - 0.0625 = 1.75
</span>(x + 0.25)^2 = 1.8125
<span>x+0.25=1.3462
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2 years ago
Please help! (100 points!) look at the image :)
viva [34]

Answer:

Step-by-step explanation:

8 0
2 years ago
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