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Anon25 [30]
3 years ago
10

Solve these equations for the variable. (4p-4)(13p+27)

Mathematics
1 answer:
kondaur [170]3 years ago
8 0

Answer:

p is approximately equal to 1.125,  -1.925

Step-by-step explanation:

We can solve this first by expanding, giving us a quadratic equation in the usual ax² + bx + c format, then solving that for p:

(4p - 4)(13p + 27) = 0

52p² + 108p - 52p - 108 = 0

52p² + 52p - 108 = 0

13p² + 13p - 27 = 0

13p² + 13p  = 27

p² + p = 27 / 13

p² + p + 1/4 = 27/13 + 1/4

(p + 1/2)² = 108 / 52 + 13 / 52

(p + 1/2)² = 121 / 52

p + 1/2 = ± √(121 / 52)

p = -1/2 ± 11√(1/13) / 2

At that point we can simply plug those numbers into a calculator and solve it:

p ≈ 1.125,  -1.925

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Put these numbers in order from least to greatest. 0.57 5.07 50.7 57 75 ​
nordsb [41]

Answer:

It's basically already in order: 0.57, 5.07, 50.7, 57, 75

Step-by-step explanation:

Hope it helps!      :3

Plz mark as brainliest!

5 0
3 years ago
Read 2 more answers
??? Anyone know how to answer this question
True [87]
Answer: 35 additional teachers are needed

-------------------------------------------------
-------------------------------------------------

Explanation:

We have 2470 students and the ratio of students to teachers is 26:1. This means that for every teacher, there are 26 students. Put another way, we can set up this ratio

2470/x = 26/1

where x is the number of teachers. Cross multiply and solve for x

2470/x = 26/1
2470*1 = 26*x
2470 = 26x
26x = 2470
26x/26 = 2470/26
x = 95

So we have 95 teachers currently

-------------

Let y be the new number of teachers needed to bring the ratio down to 19:1

Using a similar idea as done above, we would have this ratio

2470/y = 19/1

Let's solve for y
2470/y = 19/1
2470*1 = 19*y
2470 = 19y
19y = 2470
19y/19 = 2470/19
y = 130

So we'll need 130 teachers to have the ratio be 19:1

The difference of the values is y - x = 130 - 95 = 35, which is the final answer. This is the additional amount of teachers needed.
5 0
3 years ago
Help plz i need help PLZ I HAVE A MATH TEST :(((((((((((
Naddik [55]

اختي هلق اذا نزلنا من الزاوية الثانية خط منحسن نلاقي مستطيل ونحيب مساحته ويلي هية ١٢ متر مربع

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3 0
3 years ago
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A construction worker is filling a container in the shape of a right circular cylinder with cement. the container has a base dia
kirza4 [7]

The volume of this container is 5990 feet³.

<h3>How to calculate the volume?</h3>

Volume of a cylinder = πr²h

π = 3.14

r = radius = 17.5/2 = 8.75

h = 24.5

The volume will be:

= πr²h

= 3.14 × 8.75² × 24.5

= 5990 ft³

Therefore, the volume of this container is 5990 feet³.

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brainly.com/question/463363

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2 years ago
First right answer gets brain
I am Lyosha [343]
Your answer would be D. They're all the same, Hope I helped!
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