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omeli [17]
3 years ago
13

Your team wins 18 medals at a competition. The metals are gold, silver, and bronze in a ratio of 2:4:3. How many of each metal d

id your team win?
Mathematics
1 answer:
Anarel [89]3 years ago
3 0

Answer

Find out the how many of each metal did your team win.

To prove

As given

Your team wins 18 medals at a competition.

The metals are gold, silver, and bronze in a ratio of 2:4:3.

Let us assume that x be the scalar multiple of the gold, silver and bronze medal.

Thus

Number of gold medal = 2x

Number of silver medal = 4x

Number of bronze medal = 3x

Than the equation becomes

2x + 4x + 3x = 18

9x = 18

x = \frac{18}{9}

x = 2

Number of gold medal = 2 × 2

                                      = 4

Number of silver medal = 4 × 2

                                       = 8

Number of bronze medal = 3 × 2

                                           = 6

Therefore the number of gold medal are 4, silver medal are 8, bronze medal are 6.

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Oduvanchick [21]

Answer:

4.25

Step-by-step explanation:

4 0
3 years ago
If you help ill give you some of my banana milk...
snow_tiger [21]

Given:

The function is:

f(x)=4x^2-25x-21

To find:

The domain of the given function.

Solution:

Domain is the set of input values.

We have,

f(x)=4x^2-25x-21

It is a quadratic polynomial.

We know that a quadratic polynomial is defined for all real values of x. So, the given function is defined for all real values of x and the domain of the given function is:

Domain = Set of all real number

Domain = (-∞,∞)

Therefore, the correct option is B.

3 0
2 years ago
Melissa buys 2 1/2 pounds of salmon and 1 1/4 pounds of swordfish. She pays a total of $31.25, and the swordfish cost $.20 per p
julsineya [31]

Answer:

The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.66

Step-by-step explanation:

Let us assume the cost of 1 pound salmon = $ m

So the cost of 1 pound of 1 pound swordfish cat = $ ( m - 0.20)

Now, the Amount of salmon purchased  = 2 1/2 pounds

2\frac{1}{2}  = 2 + \frac{1}{2} = 2 + 0.5 = 2.5

So, the amount of salmon purchased = 2.5 pounds

Cost of buying 2.5 pounds = 2.5 x ( 1 pound cost)

= 2.5 ( m) = $ 2.5 m  ...... (1)

Also, the Amount of swordfish purchased  = 1 1/4 pounds

1\frac{1}{4}  = 1 + \frac{1}{4} = 1 + 0.25 = 1.25

So, the amount of swordfish purchased = 1.25 pounds

Cost of buying 1.25 pounds = 1.25 x ( 1 pound cost of swordfish)

= 1.25 ( m - 0.20) = $ 1.25 m - 0.25       .... (2)

Now, the combined cost paid  = $ 31.25

⇒Cost of buying (2.5 pounds salmon  +  1.25 pounds swordfish) = $ 31.25

or, 2.5 m +   1.25 m - 0.25  = 31.35       (from (1) and (2))

or, 3.75 m = 31.60

or, m = 31.60/3.75 =  8.43

⇒ m = $8.43

So, the cost of 1 pound salmon = m = $8.43

and the cost of 1 pound swordfish = m - 0.20 = $8.43 - 0.20 = $ 8.23

Hence, the combined cost  1 pound of salmon and 1 pound of swordfish = $8.43 + $ 8.23 =  $ 16.66

6 0
3 years ago
Given sec theta=-4/3 and 90°
hoa [83]

Answer:

Option A.

Step-by-step explanation:

It is given secθ = - \frac{4}{3}

then cosθ = -\frac{3}{4}

Now we know the identity

sinθ = \sqrt{1-cos^{2}\theta }

       = \sqrt{1-(-\frac{3}{4} )^{2}}

       = \frac{\sqrt{7} }{4}

Now sin2θ = 2sinθcosθ

Now we put the values of cosine and sine in the formula

sin2θ = 2×(-\frac{3}{4})(\frac{\sqrt{7}}{4})

         = -\frac{3\sqrt{7}}{8}

Therefore, option A. is the answer.

3 0
3 years ago
Mika wants to buy two types of cookies. The vanilla cookies cost $4 per box and the peanut butter cookies cost $6 per box. She w
ollegr [7]

Answer:

A & B

Step-by-step explanation:

8 0
3 years ago
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