Would you consider these shapes congruent??

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

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].

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

3 the opposite as in |-3|

is 3

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.

Is the =6 supposed to be +6?

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

We are given

total number of cars =12

cost of each car = $178

now, we have to find total cost

so, we can use formula

total cost = (total number of cars)* ( cost of each car)

so, we can plug values

and we get

[tex]TC=12\times 178[/tex]

[tex]TC=2136[/tex]

So, the cost of 12 cars is $2136.........Answer

Answer:

2136

Step-by-step explanation:

multiply 12 and 178

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

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

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

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).

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:

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

4+3= 7

7-2=5

She has 5 quarters.

Hope I helped!

Good Luck!

Becky has 5 quarters left.

Becky starts with 4 quarters and then receives an additional 3 quarters from her mom, giving her a total of 7 quarters. After spending 2 quarters on candy, she subtracts those from her total, leaving her with 5 quarters remaining.

To solve the chocolate problem, we need to work backward from the information given.

Lisa ends up with 6 chocolates, which means before Lisa received her half, there must have been 12 chocolates remaining (since 6 is half of 12).

Jenny ate 2 chocolates before that, so she originally had 14 chocolates.

Therefore, the correct answer is C. 14.

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 :)

They will go 175 Miles, all you have to do is 25 x 7 Hope this Helps :D

If the truck gets 25 MPG [Miles Per Gallon] And They use 7 Gallons Of gas you do 25*7.

Making it 175 Miles. Martin's Family Can Drive 175 On 7 gallons of Gas.

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

40 is the LCM,

Hope it helps ❤️

10

hop thats helps ya

$25. 25 x 3 is 75. Plus the 100 is 175. 200 - 175 is $25

the answer is 5.5.5.5.5 because i just did the math

732 ÷ 42 = 17.42857143

Rounding up the answer to nearest whole number gives 17

Move the decimal point 6 places to the right to get the answer. the answer would be    

6039000.000

in decimal notation, it should be 6/1 x 1000000/1000000 + 0/1 x 100000/10000 + 3/1 x 10000/10000 + 9/1 x 1000 + 0/1 x 100/100 + 0/1 x 10/10 + 0/1 x 1/1

Hello 156339

Since we know the amount of money is always decreasing, then we should know to subtract by 35. Because 2.25 is the cost per meal and x is the number of meals, the total cost should be 2.25x, which is correct because y is the amount of money left over.

Our final equation would be:

y = 35 - 2.25x

:)

The relationship between Timothy's beginning funds, cost of meals, and money left can be represented as y = 35 - 2.25x, where x is the number of meals bought and y is the remaining money.

The relationship between the amount of money Timothy started with, the cost of meals he bought, and the money he had left at the end of the week can be represented with a simple linear equation. The key detail provided in your question is that Timothy started with $35 and his meals cost $2.25 each (we can represent the number of meals as x). We can also denote the amount of money he has left at the end of the week as y. We can then write the equation as: y = 35 - 2.25x. With each meal Timothy buys, his remaining money (y) is reduced by $2.25.

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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.