A number divided by 3.Then 14 is added to the quotient. The result is 33.What is the original number? I did x/3 + 14 = 33. Then i multiplied the 3 on both sides but didn't get the right answer .Help!!

Answer:

Distributive property is the same as product of sum

So

0.25 (16.6 a + 12.2 y) = 0.25 × 16.6a + 0.25 × 12.2y = 0.25 [16.6 a + 12.2 y]

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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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:

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 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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The equation of the line with a slope of −4 and y-intercept of 1 will be y = −4x + 1.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The slope of the line is negative 4. And the y-intercept of the line is 1. Then the equation of the line is given as,

y = −4x + 1

The graph of the line is given below.

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Answer:

-$16.52

Step-by-step explanation:

I did this test and got 100% percent

The relationship between the number of ears of corn and cost is proportional because for every set of 3 ears of corn bought, the cost is a consistent $1, which maintains a constant ratio.

A store sells 3 ears of corn for $1, and they round prices to the nearest cent. We need to determine if this represents a proportional relationship between the cost and the number of ears of corn. A proportional relationship means that the ratio between two quantities is constant. Here, for every 3 ears of corn, the cost is $1. If we buy 6 ears of corn, the cost would be $2, and so on. This pattern indicates that the relationship is proportional because the ratio of corn to dollars is always 1:3 or $0.33 per ear of corn, rounded to the nearest cent.

Answer:

D

Step-by-step explanation:

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.

Answer:

3.19

Step-by-step explanation:

We are asked to find the value of the given expression [tex](-2.75)(-1.16)[/tex].

We can see that in our given expression two negative quantities are being multiplied.

We know that product of two negative quantities is positive, so our product will be positive as well.

[tex](-2.75)(-1.16)=3.1900=3.19[/tex]

Therefore, the value of our given expression is 3.19.

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 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

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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