The number of yellow fish at the aquarium is 5 fewer than 3 times the number of blue fish. The table shows how the number of yellow fish, y, depends on the number of blue fish, b. Choose the equation which represents the rule.

480

This is this awnser because its 120 a second, for 4 seconds so 4 times 120 = 480.

Well the equation is rate*time=work/distance(in this case total vibrations)

Now we plug in the numbers:

(we know that 120 times per second is the rate because it uses the word per)

(4 seconds is the time because the unit is just seconds)

12*4=48*10=480

120*4=480

The answer is 480 vibrations

Hope this helps :)

If 13% of 100 is 13, than 13% of 100 million is 13 million. And multiplying two on both sides, we get that 13% of 200 million is 26 million. If we take it the other way, we get that 13% of 50 million is 6.5 million. As 6.5 million + 25 million is 31.5 million, this is our answer.

your answer is 32,500,000

Answer:

a) Median stays the same

b) Mean is decreased by $9

Step-by-step explanation:

The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,

Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.

When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,

679, 715, 799, 844, 891, 917, 938, 946, 1002

Here also median will be the 5th number which will be equal to 891.

Therefore, , median will not change.

Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.

In the initial case,

Mean =[tex]\frac{679+715+799+844+891+917+938+1002+1027}{9} =868[/tex]

When the salary is changed from $1027 to $946,

Mean=[tex]\frac{679+715+799+844+891+917+938+1002+946}{9} =859[/tex]

Therefor we can see that Mean has decreased by $9.

The answers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, and 97.

All of these number CANNOT be divided by any number (or cannot have any smaller numbers multiplied together to make it) besides 1 and itself (1 * 5 = 5).

8. domain=hours

range=cost

it is a function because there is a y value for ever x

9. minutes =60, 120,180, 240 (domain)

calories= 360, 720, 1080, 1440 (range)

this is also a function

1. Make the equation. The product of the number and 6 equals the sum of the number and 45, so the equation would be 6x = x + 45.

2. Subtract x from both sides. You'll get 6x - x = 45.

3. You can combine like-terms by subtracting 6x - x. This is the same as 6x - 1x, which is 5x. You'll get 5x = 45.

4. Divide both sides by 5 to get x = 9.

Therefore, the number is 9.

3 the opposite as in |-3|

is 3

Answer:

14379.50

Step-by-step explanation:

If I remember correctly, the Medicare tax is taken on Gross Income. The question has already limited the base amount for Social Security.

Social Security: 118,500 * 6.2/100 =   7347

Medicare Tax:    485,000*1.45/100 =  7032.50    Add

Add                                                       14379.50

Sonny paid 14370 in taxes for these 2 items.

Answer:

$14,379.50

Step-by-step explanation:

Given that:

As we know that, the Federal Insurance Contributions Act (FICA) is made up of two items, Social Security and Medicare taxes.

So

Social Security tax: $118,500*6.2% = $7347

Medicare tax: $485,000*1.45% = $732.5

=> the amount of  FICA taxes as a rookie pitcher she needs to pay is:

= $7347 + $732.5

= $14,379.50

$100 worth of groceries.

Using the traditional division algorithm, 137 divided by 3 equals 45 with a remainder of 2.

To find the quotient of 3 divided into 137 using the traditional divisor algorithm, we take it step by step. Starting from the left, we see if 3 fits into the first digit, 1. It does not, so we look at the next digit, making it 13. 3 fits into 13 four times. Write this 4 on top of the division line. Then you subtract the value of 4 times 3, or 12, from 13 to get a remainder of 1. Bring down the next digit from the dividend, so now we're dividing 3 into 17. 3 fits into 17, five times. Write this 5 on top of the division line. Therefore, 137 divided by 3 using traditional division algorithm equals 45 remainder 2.

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The repeating decimal 2.26 (with 26 repeating) is converted to a fraction by setting it as 'x', scaling by 100, subtracting the original x, and then simplifying to get the fraction 224/99.

To convert the repeating decimal 2.26 (with 26 repeating) to a fraction, we use the following steps:

We now have our fraction, which is 224/99.

5 x 4= 20

20 students play basketball.

5 x 4= 20

20 students play basketball.

Final answer:

To find how many times larger 3 x [tex]10^{15}[/tex] is than 6 x [tex]10^{10}[/tex], divide the first by the second resulting in 5 x [tex]10^{4}[/tex]. This means 3 x [tex]10^{15}[/tex]  is fifty thousand times larger than 6 x [tex]10^{10}[/tex].

Explanation:

To find out how many times larger 3 x [tex]10^{15}[/tex]  is than  6 x [tex]10^{10}[/tex], you can divide the first number by the second number:

This means that 3 x [tex]10^{15}[/tex]  is fifty thousand times larger than 6 x [tex]10^{10}[/tex].

Is the =6 supposed to be +6?

If so, the slope would be -2 and the y-intercept is 6.

it is -6

-3x2=-6

do 3x2 (6) but add the negative after

Using multiplication operation, the value of -3 * 2, which is the product of -3 and 2 is: -6.

To calculate -3 × 2, you multiply the two numbers together using the standard multiplication operation.

-3: This is a negative constant, representing the number -3.

×: This symbol represents the multiplication operation.

2: This is a positive constant, representing the number 2.

Now, perform the multiplication:

-3 × 2 = -6

So, -3 × 2 equals -6. The result is a negative number because when you multiply a negative number (-3) by a positive number (2), the product is negative.

Learn more about multiplication operation on:

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732 ÷ 42 = 17.42857143

Rounding up the answer to nearest whole number gives 17

40 is the LCM,

Hope it helps ❤️

10

hop thats helps ya

the answer is 5.5.5.5.5 because i just did the math

The equation format for point-slope form is y-y1 = m(x-x1)

The slope is M, which is given as -1/5

You are given a point of (7,2) which would be x1 and y1.

replace x1 and y1 in the equation with the appropriate numbers:

x1 = 7, y1 = 2

The equation becomes y - 2 = -1/5x -7

Answer:

The numbers are a= 4 and b= 8.

Step-by-step explanation:

Let the unknowns number be a and b.

assume a>b.

As per the given condition: The sum of two number is 12 and the difference of the same is -4.

from the above conditions we have:

[tex]a+b =12[/tex]      ......[1]

[tex]a-b=-4[/tex]        ......[2]

Now, adding equations, we will eliminate b leaving an equation in a that we can solve:

⇒ [1]+[2] gives;

[tex](a+b)+(a-b)=12+(-4)[/tex] or

[tex]a+b+a-b=12-4[/tex]

Simplify:

[tex]2a=8[/tex]

Divide by 2 on both sides, we get

[tex]\frac{2a}{2}= \frac{8}{2}[/tex]

Simplify:

a=4

Substitute the value of a= 4 in equation [1] . to solve for b;

[tex]4+b=12[/tex] or

b= 12-4 =8

Therefore, the numbers a and b are 4 and 8

34' of 34 into 45. that's your answer.

Answers:

1)

Mean = $349.2

Median = $352.5

Range = $210

2)

$499.90

3)

$355

I have attached a photo of the work written for this question:

First you have to divide 1,230 by 6:

1,230 ÷ 6 = 205

She will need 205 pages to display all 1,230 of her cards

E=mc sguare

solve for c

Rewrite equation

Mc^2=e

Divide both sides by m

C^2=e/m

Square root both sides to get c alone .

C= ± square root e/m

Withsquare root you need a positive and negative solution

C= square root em/m, - square root em/m