what is 55>-7v+6 help me

Final answer:

The number that fits all the conditions given is 835. It's a 3-digit odd number greater than 800, with a sum of digits equaling 12, tens digit 2 less than the ones digit, divisible by 3 but not 5.

Explanation:

To solve the problem, we need to find a 3-digit odd number greater than 800, divisible by 3 but not 5, with the sum of the digits equaling 12 and the tens digit being 2 less than the ones digit. Starting with the sum of the digits being 12, we can form possible combinations of three digits that add up to 12. Considering that the number is odd and greater than 800, our hundreds digit must be 8. To be divisible by 3, the sum of the digits must also be divisible by 3, which we already know is valid. Now, since the number is not divisible by 5, the ones digit cannot be 0 or 5. Therefore, we establish our ones digit first, which could be 1, 3, 7 or 9. Since the tens digit is 2 less than the ones digit, we cannot have 1 as our ones digit because that would make the tens digit negative.

With these constraints in mind and trying possible combinations, we realize that a workable combination is 8 for the hundreds place, 3 for the tens place (2 less than 5), and 5 for the ones place, giving us the number 835. This number satisfies all conditions: it's a 3-digit number, odd, greater than 800, divisible by 3, not divisible by 5, and the sum of its digits is 12.

James will need 43 5/6 feet of fencing to surround his garden.

Given the parameter:

Length of the garden = 12 1/4 feet

Width of the garden = 9 2/3 feet

Perimeter =?

To determine the length of fencing James will need to surround his garden, we can use the formula for the perimeter of a rectangle:

Perimeter = 2( length + width )

Plug in the values and solve for the perimeter:

Perimeter = 2( 12 1/4 + 9 2/3)

Perimeter = 2( 49/4 + 29/3)

Perimeter = 2( 263/12 )

Perimeter =  263/6

Perimeter = 43 5/6 feet

Therefore, the needed length of fencing is 43 5/6 feet.

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The student will use 5.5 gallons of paint to paint the living room by multiplying 13.75 gallons by 2/5.

The student has 13.75 gallons of paint and wishes to use 2/5 of it to paint the living room. To calculate the amount of paint used, we multiply the total amount of paint by the fraction representing the portion they wish to use.

The calculation is as follows:

Amount of paint used = Total paint × Fraction of paint used

Amount of paint used = 13.75 gallons × 2/5

Amount of paint used = 5.5 gallons

Therefore, the student will use 5.5 gallons of paint to paint the living room.

Answer:

The employee pays $172.50 and he got 25% employee discount.

If the cost is $100, he pays $(100 - 25) = $75.

So, employee pays =  

100

------

75

.

172.50

= $230.00.

Again, price was increased by 15% last year. So whose cost is $100

is sold by $(100+15) = $115.

When sell price is $115, then cost price is $100. Then,

when sell price is $230, then cost price is  

100

------

115

⋅

230

= $200.

Step-by-step explanation:

Answer:

y + 7 = -2/3(x-1)

Step-by-step explanation:

i took the test :)

The store sold 9 polyester-fill sleeping bags and 5 down-fill sleeping bags.

We need to find the number of polyester-fill and down-fill sleeping bags sold.

Let's denote the number of polyester-fill sleeping bags as x and the number of down-fill sleeping bags as y. The given equations based on the problem statement are:

x + y = 14 (the total number of sleeping bags sold)

79x + 149y = 1456 (the total sales from sleeping bags)

We can solve this system of equations using either the substitution method or the elimination method. By multiplying the first equation by 79, we have:

79x + 79y = 1106

Subtracting this new equation from the second equation gives us:

149y - 79y = 1456 - 1106

70y = 350

y = 5

Substituting y = 5 into the first equation:

x + 5 = 14

x = 9

The rule of an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

[tex]a_1[/tex] - first term

[tex]d[/tex] - a difference  [tex]d=a_n-a_{n-1}[/tex]

We have:

[tex]a_1=20;\ a_2=17;\ a_3=14;\ a_4=11;\ a_5=8;\ ...[/tex]

[tex]a_1=20;\ d=a_2-a_1\to d=17-20=-3[/tex]

substitute:

[tex]a_n=20+(n-1)\cdot(-3)=20-3n+3=-3n+23[/tex]

Answer: f(n) = -3n + 23

Answer:

f(n) = -3n + 23

Step-by-step explanation:

We get a quotient of 1074 and a remainder of 2 when we divide 4298 by 4.

So, the quotient of 4298/4.

Calculate: 4298/4

(Refer to the image attached below for division calculation)

Therefore, we get a quotient of 1074 and a remainder of 2 when we divide 4298 by 4.

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To calculate the percentage of girls who like bowling, you would divide the number of girls who like bowling (12) by the total number of girls (300) and then multiply by 100. This yields a result of 4%.

To find the percentage of girls who mentioned bowling as their favorite sport, you would use the following formula:

Number of favorites / Total number * 100

In this instance, the calculation would be:

12 girls / 300 girls * 100

By doing this calculation, you get 4% which indicates that 4% of girls mentioned bowling as their favorite sport.

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Final answer:

The order of operations is followed to solve the expression 304 divided by 2 minus 26 plus 17 times 16, resulting in a final answer of 398.

Explanation:

The student is asking to solve the mathematical expression 304 divided by 2 minus 26 plus 17 times 16.

To solve this, we need to follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

We first divide 304 by 2, then subtract 26, and finally add the result of multiplying 17 by 16.

Calculation:

(304 / 2) - 26 + (17 * 16)

= (152 -26) + 272

= 126 + 272

= 398

The number three hundred thousand, five thousand sixty-three written in standard form is; 3.00563 × 10⁵.

According to the question;

The number three hundred thousand, five thousand sixty-three written in digits is; 300,563.

When written in standard form as follows is; 3.00563 × 10⁵

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The total number of spaces in the parking lot is 28, calculated by using the ratio of empty spaces to taken spaces (5:2) and knowing there are 20 empty spaces.

To calculate the total number of parking spaces in the lot, given a ratio of empty spaces to taken spaces, we use the information provided: there are 20 empty spaces and the ratio of empty spaces to taken spaces is 5:2. To solve this, set up a proportion with the given ratio:

5 (empty spaces) : 2 (taken spaces) = 20 (empty spaces) : x (taken spaces)

Now, cross-multiply and solve for x:

5x = 2 × 20

5x = 40

x = 40 / 5

x = 8

There are 8 taken spaces. Now, add the empty spaces to get the total:

Total spaces = empty spaces + taken spaces

Total spaces = 20 + 8

Total spaces = 28

So, the total number of spaces in the parking lot is 28.

The perimeter of square is 1848 m.

All sides add up to the perimeter.

Square perimeter equals the sum of its four sides' lengths.

= side +side +side +side.

= 4 x sides.

Square's perimeter is therefore equal to 4s units.

Given:

Side of Square = 462 m

Now, Perimeter of Square = 4 x side

Perimeter of Square = 4 x 462

Perimeter of Square = 1848 m

Hence, the perimeter of square is 1848 m.

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