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DochEvi [55]
3 years ago
6

WILL MARK BRAINLIEST!!! A pyrotechnician plans for two fireworks to explode together at the same height in the air. They travel

at speeds shown below. Firework B is launched 0.25 s before Firework A. How many seconds after Firework B launches will both fireworks​ explode? ​(Simplify your answer. Type an integer or decimal rounded to two decimal places as​ needed.)
Mathematics
1 answer:
avanturin [10]3 years ago
3 0

Answer:

What can u show pic

Step-by-step explanation:

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The product of two consecutive odd integers is 99. If
bonufazy [111]

The equation in terms of x is x(x + 2) = 99 or x^2 + 2x - 99 = 0

The pairs of integers are  -11 and -9 or 9 and 11

<em><u>Solution:</u></em>

Let the two consecutive odd integers be x and x + 2

Let "x" be the smallest integer

Given that product of two consecutive odd integers is 99

To find: an equation in terms of  x

Product of x and x + 2 = 99

x(x + 2) = 99\\\\x^2 + 2x = 99\\\\x^2 + 2x - 99 = 0

Thus the equation in terms of x is found

Let us solve the above equation to find all pairs of integers

Solve the quadratic equation by grouping method

Middle term 2x can be written as 11x - 9x

\rightarrow x^2 + 2x - 99 = 0\\\\\rightarrow x^2 + 11x - 9x -99 = 0

Now group the terms,

\rightarrow (x^2 + 11x) - (9x + 99) = 0

Take "x" as common term from first group and 9 as common term from second group

\rightarrow x(x + 11)-9(x+ 11) = 0

Now take x + 11 as common term,

\rightarrow (x + 11)(x - 9) = 0

Equating to zero we get,

x + 11 = 0 or x - 9 = 0

x = -11 or x = 9

<em><u>When x = -11 :</u></em>

x + 2 = -11 + 2 = -9

Thus first set of two consecutive odd integers are -11 and -9

<em><u>When x = 9 :</u></em>

x + 2 = 9 + 2 = 11

Thus second set of two consecutive odd integers are 9 and 11

5 0
3 years ago
Yuri is shopping for new workout clothes. He picks up a shirt for $12.50 and two pairs of shorts for $14.75 each. His total, wit
Annette [7]

The equation that can be used to determine the tax rate, x is ;44.31 = 42 + (x% of 42) where x = 5.5%

<h3>How to write equation</h3>

  • Cost of a shirt = $12.50
  • Cost of each shorts = $14.75

  • Cost of two shorts = 2 × $14.75

= $29.5

  • Total cost = $12.50 + $29.5

= $42

  • Tax rate = x%

  • Total amount paid = $44.31

Total = total cost + x% of total cost

44.31 = 42 + (x% of 42)

44.31 = 42 + 42x/100

44.31 - 42 = 42x/100

2.31 = 42x / 100

x = 2.31 ÷ 42/100

= 2.31 × 100 /42

= 231/42

= 5.5%

Learn more about equation:

brainly.com/question/13763238

6 0
2 years ago
Jacob ate 21 chips ahoy cookies in 1 hour and Bryant ate 25 chips ahoy cookies in the same time, at this rate, how mant whole co
marissa [1.9K]
Answer:
55 cookies in 80 mins
Step-by-step explanation:
1 hour has 60 mins
so 25/60=0.417
0.417/3=0.139
0.139x4=0.556
so he can eat 55 cookies in 80 mins
4 0
3 years ago
. Solve for the missing value (x).
just olya [345]

The missing value of x will be 9.6 mL.

<h3>What are ratio and proportion?</h3>

A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.

The equation is given below.

12.5 mg : 5 mL = 24 mg : x mL

Then the value of x will be

12.5 / 5 = 24 / x

          x = (24 × 5) / 12.5

          x = 9.6 mL

More about the ratio and the proportion link is given below.

brainly.com/question/14335762

#SPJ1

4 0
2 years ago
Diana is solving the inequality 2x−14≤8.
Rainbow [258]

Answer:

The number line on the top right

Step-by-step explanation:

Her solution should be

2x - 14 ≤ 8

   x ≤ 22

     x ≤ 11  

'x' is less than or equal to 11.

8 0
3 years ago
Read 2 more answers
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