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Doss [256]
3 years ago
14

The ratio of two numbers is 2/3. The sum of the numbers is 105. What are the two numbers?

Mathematics
1 answer:
brilliants [131]3 years ago
7 0
42 and 63 both are at the rate of 2 to 3 and they add up to 105
You might be interested in
__________________________________________
xz_007 [3.2K]

Answer:

3.3 x 10⁻⁴

Step-by-step explanation:

Given expression:

           \frac{2.64 x 10^{-3} }{8.0 x 10^{0} }

 To solve this problem;

    10°   = 1

So;

             \frac{2.64 x 10^{-3} }{8.0}

    =  \frac{2.64}{8}  x 10⁻³

    = 0.33 x 10⁻³

    = 3.3 x 10⁻¹  x 10⁻³

     = 3.3 x 10⁻⁴

4 0
3 years ago
What is the greatest common factor of 15 and 45? Explain your answer.
timofeeve [1]
Factors of 15: 1, 3, 5, 15

<span>Factors of 45: 1, 3, 5, 9, </span>15, 45

<span>The Greatest common factor is 15.</span>
6 0
3 years ago
Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)
Lisa [10]

Answer:

f(x) = 4x^2 - 3x + 6

Step-by-step explanation:

Quadratic function is given as f(x) = ax^2 + bx + c

Let's find a, b and c:

Substituting (0, 6):

6 = a(0)^2 + b(0) + c

6 = 0 + 0 + c

c = 6

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

f(x) = ax^2 + bx + c

16 = a(2)^2 + b(2) + 6

16 = 4a + 2b + 6

16 - 6 = 4a + 2b + 6 - 6

10 = 4a + 2b

10 = 2(2a + b)

\frac{10}{2} = \frac{2(2a + b)}{2}

5 = 2a + b

2a + b = 5 => (Equation 1)

Substituting (3, 33), and c = 6

f(x) = ax^2 + bx + x

33 = a(3)^2 + b(3) + 6

33 = 9a + 3b + 6

33 - 6 = 9a + 3b + 6 - 6

27 = 9a + 3b

27 = 3(3a + b)

\frac{27}{3} = \frac{3(3a + b)}{3}

9 = 3a + b

3a + b = 9 => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

3a + b = 9

2a + b = 5

a = 4

Replace a with 4 in equation 2.

2a + b = 5

2(4) + b = 5

8 + b = 5

8 + b - 8 = 5 - 8

b = -3

The quadratic function that represents the given 3 points would be as follows:

f(x) = ax^2 + bx + c

f(x) = (4)x^2 + (-3)x + 6

f(x) = 4x^2 - 3x + 6

6 0
3 years ago
Kyle is having a party he has 43 hot dogs there will be 8 people at his party how many hotdogs will each person get
Brrunno [24]

each person will get 5 hot dogs.

Step-by-step explanation:

Total number of Hot dogs =43

Total number of people at party= 8

Each person will get hot dogs= \frac{Total number of Hot dogs}{Total number of people at party }

Each person will get hot dogs= \frac{43}{8}

Each person will get hot dogs= 5.37 or ≈ 5

So, each person will get 5 hot dogs.

Keywords: Word Problems

Learn more about Word Problems at:

  • brainly.com/question/10978510
  • brainly.com/question/11007026
  • brainly.com/question/10717746

#learnwithBrainly

6 0
3 years ago
Anyone please help me <br><br>solve for x and Y will give brainliest ​
Vedmedyk [2.9K]

Answer:

x = - 5, y = - 9

Step-by-step explanation:

Given

x + 9i = - 5 - yi

For the 2 sides to be equal then the coefficients of like terms must be equal.

x = - 5 and 9 = - y ⇒ y = - 9

6 0
3 years ago
Read 2 more answers
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