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vodomira [7]
3 years ago
12

The second of the three numbers is 4 times the first the third is 2 more than the second. If the second number is decreased by t

wice the third the result is 28 what are the three numbers
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
7 0

Answer:

the three numbers = -8, -32, -30

Step-by-step explanation:

let the first number = a

let the second number = b

let the third number = c

From the first statement:  b = 4a

From the second statement: c = b + 2

From the third statement: b - 2c = 28

From the above equations, we can solve (1) and (2) together.

c = b + 2

b = c - 2

Also, b - 2c = 28

(c - 2) - 2c = 28

c - 2 - 2c = 28

-c = 30

c = -30

b = -30 - 2

  = -32

b = 4a

a = b/4

a = -32/4

a = -8

Therefore, the three numbers = -8, -32, -30

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Kylie is birdwatching and has seen 9 thrushes so far, as well as 24 other birds. Considering this data, how many of the next 88
OLEGan [10]

Answer:

33

Step-by-step explanation:

9 out of 24

x out of 88

so by interpolation it's gonna be 33.

4 0
2 years ago
A parallelogram has sides 17.3 m and 43.4 m long. The height corresponding to the 17.3-m base is 8.7 m. Find the height, to the
Anvisha [2.4K]

Answer:

3.5m

Step-by-step explanation:

A parallelogram has sides 17.3 m and 43.4 m long.

The height corresponding to the 17.3-m base is 8.7 m.

The area of a parallelogram = base × height

= 8.7m × 17.3m

= 150.51m²

Both parallelograms have the same area

Hence, the height, to the nearest tenth of a meter, corresponding to the 43.4-m base is calculated as:

= 150.51m²/43.4m

= 3.4679723502m

Approximately = 3.5m

7 0
2 years ago
Need some help working these out
s2008m [1.1K]

Answers:

  • Problem 1)  40 degrees
  • Problem 2) 84 degrees
  • Problem 3) 110 degrees

===============================================

Explanation:

For these questions, we'll use the inscribed angle theorem. This says that the inscribed angle is half the measure of the arc it cuts off. An inscribed angle is one where the vertex of the angle lies on the circle, as problem 1 indicates.

For problem 1, the arc measure is 80 degrees, so half that is 40. This is the measure of the unknown inscribed angle.

Problem 2 will have us work in reverse to double the inscribed angle 42 to get 84.

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

For problem 3, we need to determine angle DEP. But first, we'll need Thales Theorem which is a special case of the inscribed angle theorem. This theorem states that if you have a semicircle, then any inscribed angle will always be 90 degrees. This is a handy way to form 90 degree angles if all you have is a compass and straightedge.

This all means that angle DEF is a right angle and 90 degrees.

So,

(angle DEP) + (angle PEF) = angle DEF

(angle DEP) + (35) = 90

angle DEP = 90 - 35

angle DEP = 55

The inscribed angle DEP cuts off the arc we want to find. Using the inscribed angle theorem, we double 55 to get 110 which is the measure of minor arc FD.

3 0
3 years ago
The function f(x) = 16,800(0.9)x represents the population of a town x years after it was established. What was the original pop
Setler79 [48]

I am guessing that the correct form of equation is:

f(x) = 16,800(0.9)^x
where x is the exponent of (0.9)  

Since we are looking for the original population and x stand sfor the number of years, therefore x=0
substituting:
f(x) = 16,800(0.9)^0

Since (0.9)^0  would just be equal to 1. Therefore the original population is 16,800. 

 

Answer: B. 16,800

3 0
3 years ago
Read 2 more answers
HELPPPPP !!!
kifflom [539]

Answer:

(A) the subtraction property of equality

Step-by-step explanation:

Given

The steps in the question

Require

Justify step 2 to 3

Write out step 2:

-4x+9 = 2x+10

Apply subtraction property by subtracting 2x from both sides

-4x-2x+9 = 2x-2x+10

-6x+9 = 10

Notice that the above equation is represented in step 3.

<em>Hence, option A answers the question.</em>

7 0
3 years ago
Read 2 more answers
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