The three medals earned in the Olympics are the gold, silver, and bronze medals. In the 2014 Winter Olympics, the United States had 28 total medal winners. There were two more gold medals than sivler medals, and the number of bronze medals was four less than the sum of the number of gold and silver medals. How many winners were there of each type of medal? Gold: Silver: Bronze:

Answer:

x=2 is the answer.

Step-by-step explanation:

10+2x+6x=26

10+8x=26

Subtracting 10 on both sides to find out the value of x

10-10+8x=26-10

8x=16

Dividing 8 on both sides

8x/8=16/8

x=2

Hope it will help ^_^

Answer:

Step-by-step explanation: I hope it helps :)

[tex]10 + 2x + 6x = 26\\\\\mathrm{Add\:similar\:elements:}\:2x+6x=8x\\10+8x=26\\\\\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}\\10+8x-10=26-10\\\\Simplify\\8x=16\\\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}=\frac{16}{8}\\\\Simplify\\x =2[/tex]

Answer:

The reasonable domain is less extensive that the mathematical domain.

Step-by-step explanation:

The reasonable domain for the function is the set of all possible values of the independent variable (in this case x) that make sense to the situation in which the function is being applied.

For the function [tex]f(x)=16.4x+2[/tex], the mathematical domain is the set of real numbers.

Now, in the function the independent variable ''x'' represents the distance (in miles) between the job site and the office. We know that we can't have a negative distance in real life. Therefore, we need to restrict our mathematical domain into the reasonable domain by eliminating all the negative numbers from the set of all real numbers.

Our new domain (reasonable domain) is

{x ∈ IR : x ≥ 0}

The reasonable domain is less extensive that the mathematical domain.

Answer:

-3/2

Step-by-step explanation:

The average rate of change is synonymous to the slope.

So, to find the average rate of change from the interval x=-2 to x=2, first find the y-values at x=-2 and x=2.

At x=-2, we can see that y is 4. Thus, we have (-2,4).

At x=2, we can see that y is -2. Thus, we have (2,-2).

Now, use the slope formula. The formula for slope is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (-2,4) be x₁ and y₁ and let (2,-2) be x₂ and y₂. Therefore:

[tex]m=\frac{-2-4}{2--2}[/tex]

Simplify:

[tex]m=\frac{-6}{4}[/tex]

Reduce:

[tex]m=-3/2[/tex]

So, our average rate of change from the interval x=-2 to x=2 is -3/2.

Answer:

1363.6

Step-by-step explanation:

let the basic salary be = x

10% of x = 10/100x

So the equation = x + 10/100x = 1500

                           = x + 0.1x = 1500

                           = 1.1x = 1500

                           =  x = 1500/1.1

                           =  x = 1363.6

Answer:

x = Y-3 over 8

Step-by-step explanation:

Y = 8x+3

Take the 3 to the other side by subtracting it

so:

Y-3 = 8x

divide 8 to get only x

x = Y-3 over 8

Answer:

Holden's seed is 40 miles per hour

Step-by-step explanation:

The given parameters are;

The distance Holden drove = 110 miles

The  time duration in which Holden drove = 2 and 3/4 hours = 11/4 hours = 2.75 hours

Therefore, Holden's speed, s, can be found from the relationship;

Speed, s = Distance/time = 110 miles/(11/4 hours) = 40 miles per hour

Holden's seed = 40 miles per hour.

Step-by-step explanation:

2 x (16 + (10 + 3) - 3) - 22

2 x (16 + 13 - 3) - 22

2 x 26 - 22

2 x 4

= 8

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Explanation:

First focus on the fact that "the average of x and t is y". This means

(x+t)/2 = y

We basically add x and t, then divide by 2 to get the average y

--------

We are then told that s = 2y, so we double the average

s = 2y

s = 2(x+t)/2

s = x+t .... notice the 2's cancel each other out when dividing

s turns out to be the sum of x and t, which is fitting I think

---------

Now find the average of s, x, and t. You'll add the three values and divide by 3

(s+x+t)/3

(s + (x+t))/3

(s + s)/3 .... replace x+t with s

2s/3

2(2y)/3 ... plug in s = 2y

4y/3

The average of s, x, and t in terms of y is 4y/3. The correct option is D. 4y/3

From the question, we are to determine the average of s, x, and t in terms of y

From the given information

The average of x and t is y

That is,

(x+t)/2 = y

∴ x + t = 2y

Also,

s = 2y

The average of s, x, and t is

(s + x + t) / 3

Putting the values of x + t and s into the above expression, we get

(2y + 2y)/3

This becomes

4y/3

Hence, the average of s, x, and t in terms of y is 4y/3. The correct option is D. 4y/3

Learn more on Calculating average here: https://brainly.com/question/20118982

SPJ2

Answer: Slope - intercept form y = 1/7x - 1

Answer in fraction form = 1/20

Answer in decimal form = 0.05

Answer in percent form = 5%

These are three ways to express the same thing

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

Explanation:

Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.

The probability of getting a lion rubber band is 1/4 for similar reasoning as above.

Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20

Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.

Answer:

14

Step-by-step explanation:

d=5 so

2(5)+4(5)-9-7

10+20-9-7

30-9-7

21-7

14

Answer:

2×5+4×5-9-7.

10+20-9-7.

=14.

Answer:

2×5+4×5-9-7.

10+20-9-7.

=14.

Answer:

3 years

Step-by-step explanation:

By simple interest formula:

[tex]i = \frac{prt}{100} \\ \\ 27 = \frac{225 \times 4 \times x}{100} \\ \\ x = \frac{27 \times 100}{900} \\ \\ x = \frac{2700}{900} \\ \\ x = 3 \: years[/tex]

Answer:

160

Step-by-step explanation:

Answer:2.25 + 4.5 = 6.75 cups of flour

2.25

Step-by-step explanation: 1 batch is already 2.25 in decimal form so just infer from there.. divide 2.25 from .5 and get 4.5 then add to the one batch you've already received .. 4.5 + 2.25 = 6.75 and just convert into a fraction 6 3/4

Answer:

liked = 45 ; disliked = 18

Step-by-step explanation:

Let the number of songs he liked be x & disliked be y.

The ratio of x & y :-

[tex] \frac{x}{y} = \frac{5}{2} \\ = > 2x = 5y \: \: \: \: [/tex]

And total number of songs he listened = 63

Then, x + y = 63...................eqn.1

=> x = 63 - y

Substituting the value of x in eqn. 2x = 5y gives :-

2(63 - y) = 5y

=> 126 - 2y = 5y

=> 7y = 126

=> y = 18

Substituting the value of y in eqn.1 gives

x = 63 - 18

= 45

Hence no. of songs he liked = 45 & disliked = 18

Answer:

1. alternate exterior angles

2. co-interior angles

3. corresponding angles

4. alternate interior angles

5. corresponding angles

6. co-interior angles

Answer:

Q 7. First=33 Second=35 Third=37

Q 8. First=46 Second=48 Third=50

Step-by-step explanation:

Question 7. Find three consecutive odd integers whose sum if 105.

Let x=the first number (the smallest number）

Then, x+2=the second number, x+4=the third number

x+(x+2)+(x+4)=105

x+x+2+x+4=105

3x+6=105

3x=99

x=33

First=33 Second=35 Third=37

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Question 8. The sum of three consecutive even integers is 144. Find the numbers (I think so since you didn't took the whole picture)

Let x=the first number (the smallest number)

Then, x+2=the second number, x+4=the third number

x+(x+2)+(x+4)=144

x+x+2+x+4=144

3x+6=144

3x=138

x=46

First=46 Second=48 Third=50

Hope this helps!! :)

Please let me know if you have any question

Answer:

The answer is D

Step-by-step explanation:

A . 0 it is correct because 0 is an integer

B .It seems like rational number but it is not simplified yet so -18 \ 2= -9

C .

[tex] \sqrt{9} = 3 \: so \: it \: is \: also \: integer[/tex]

D . 4\5 it is decimal so it is rational number not integer

I hope u like it

Answer: the answer is when the wheel is at 70.43° after 7.82seconds from when you ride on it

Step-by-step explanation:

Rule of 3

65ft center meaning the top point at 90° will be at 115ft since the diameter of the wheel is 50ft

If the 90° gets you at 115ft, at what degree will you reach 90ft?

90°----115ft

X°------90ft

(90x90) ÷ 115 = 70.43°

Then if 360° takes 40seconds which is the complete turn

360°----40s

70.43°--X

(70.43 x 40) ÷ 360 = 7.82s

Answer:

its b

Step-by-step explanation:

i just did it.

Answer:

[tex]Noon\ Temperature = 7F[/tex]

Step-by-step explanation:

Given

Initial Temperature = -5F

Change (by noon) = 12 degrees

Required

Determine the temperature at noon

The temperature by noon is calculated as thus;

[tex]Noon\ Temperature = Initial\ Temperature + Change[/tex]

Substitute values for Initial temperature and change

[tex]Noon\ Temperature = -5F + 12[/tex]

[tex]Noon\ Temperature = 7F[/tex]

Hence, the temperature at noon is 7F

Answer:

Graph on the top right.

Step-by-step explanation:

A function is a relation where one domain value is assigned to exactly one range value.

In a table, there would be no values repeating in the x-column.

The graph on the top right does not repeat any x values. Therefore, it is a function.

Why the other options are not functions:

Hope this helps.

Answer:

6      :  15       : 11

Step-by-step explanation:

men:women:children

24  :  60        : 44

Divide each part by 4

24/4  :  60/4     : 44/4

6      :  15       : 11

Answer:

2167.2

Step-by-step explanation:

Answer:

2167.2

Step-by-step explanation:

For this problem, let's use the distributive property to make this multiplication easier.

4.2 can be redistributed into 4 & 1/5, as 0.2 == 1/5.

Now let's multiply these numbers with 516.

(516 * 4) + (516 * 1/5) == ?

(2064) + (103.2) == ?

2167.2 == ?

So the product of 516 and 4.2 is equal to 2167.2.

Cheers.

Answer:

n = 0 or n = -9/16

Step-by-step explanation:

Solve for n:

2 (8 n^2 + 9 n) - 9 n = 0

Hint: | Write the quadratic polynomial on the left hand side in standard form.

Expand out terms of the left hand side:

16 n^2 + 9 n = 0

Hint: | Factor the left hand side.

Factor n from the left hand side:

n (16 n + 9) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

n = 0 or 16 n + 9 = 0

Hint: | Look at the second equation: Isolate terms with n to the left hand side.

Subtract 9 from both sides:

n = 0 or 16 n = -9

Hint: | Solve for n.

Divide both sides by 16:

Answer: n = 0 or n = -9/16

Answer:

the living room

Step-by-step explanation:

Answer 2/3

Step-by-step explanation:

Answer:

Area = length × width = 15 × 9 = 135

Perimeter = 2 × (length + width) = 2×(15 + 9) = 48