what happens to a rational number in fractional form converts to a decimal

To solve this problem, we should first find out how much Reese made from selling cookies. To do this, we have to multiply the cost of one cookie ($2) by the number of cookies he sold (24). This is modeled below:

24 * $2 = $48

To find Reese's total profit, we must subtract how much he spent on the supplies ($4.95) from his earnings ($48). This is modeled below:

$48 - $4.95 = $43.05

Therefore, Reese's profit is $43.05.

Hope this helps!

The terms in the expression - x - 9x*2 + 12x*2 + 7 are -x, -9x*2, +12x*2, and +7. The like terms in the expression are -9x*2 and +12x*2. The terms -x and +7 are not like terms.

In the expression - x - 9x*2 + 12x*2 + 7, the terms are:

The like terms are the terms that have the same variable and exponent. In this expression, the like terms are -9x*2 and +12x*2, since they both have the variable x raised to the power 2. So, the like terms are -9x*2 and +12x*2.

The terms -x and +7 do not have the same variable or exponent, so they are not like terms.

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Answer: 9 points per minute.

Step-by-step explanation:

Hi, answer this question we have to calculate the unite rate in points per minute; by dividing the number of points (117) by the number of minutes.

Mathematically speaking:

117 points / 13 minutes = 117/13= 9 points per minute

So, the unit rate is 9 points per minute.

Feel free to ask for more if needed or if you did not understand something.

Answer:

25

Step-by-step explanation:

Rounding 871 to the nearest ten gives us 870.

We have,

To round 871 to the nearest ten, we look at the ones digit, which is 1.

If the ones digit is 5 or greater, we round up to the next ten.

If the ones digit is less than 5, we round down to the previous ten.

In this case, the ones digit is 1, which is less than 5.

Therefore, we round down.

Rounding 871 to the nearest ten gives us 870.

Thus,

Rounding 871 to the nearest ten gives us 870.

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Answer: Simplifying the expression of the substraction of the two complex numbers we get  11-2i

Solution:

(5-5i)-(-6-3i)

Eliminating the parentheses: 5-5i+6+3i

Grouping similar terms: (5+6)+(-5+3)i

Adding the similar terms: 11+(-2)i = 11-2i

Answer:

The simplify form of given expression is 11-2i.

Step-by-step explanation:

The given expression is

[tex](5-5i)-(-6-3i)[/tex]

Using distributive property, we get

[tex]5-5i-(-6)-(-3i)[/tex]

[tex]5-5i+6+3i[/tex]

Combined real and imaginary parts.

[tex](5+6)+(-5i+3i)[/tex]

[tex]11+(-2i)[/tex]

[tex]11-2i[/tex]

Therefore the simplify form of given expression is 11-2i.

1 3/4 quarts is equivalent to 56 fluid ounces. This conversion is done by first converting the mixed fraction to an improper fraction, and then multiplying by 32, which is the number of ounces in one quart.

The subject of your question is Mathematics, specifically a unit conversion problem. You want to convert 1 3/4 quarts of milk to fluid ounces. We know that there are 32 fluid ounces in one quart. So, to convert quarts to fluid ounces, we multiply the number of quarts by 32:

For 1 3/4 quarts:

1. First, convert the mixed fraction to an improper fraction: (1 * 4) + 3 = 7/4 quarts

2. Multiply by 32(our conversion factor from quarts to fluid ounces): (7/4) * 32 = 56

So, 1 3/4 quarts is equal to 56 fluid ounces.

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Answer:

Step-by-step explanation:

[tex]|x+3|<5\iff x+3<5\ \wedge\ x+3>-5\qquad\text{subtract 3 from both sides}\\\\x<2\ \wedge\ x>-8\Rightarrow -8<x<2[/tex]

Answer with Step-by-step explanation:

We are given a expression:

[tex]11x-2-3(1-7x)^2+(x+1)[/tex]

We have to determine the first step in the solution of the above expression.

First step will be to solve the term [tex](1-7x)^2[/tex]

We will firstly square the term 1-7x

[tex]11x-2-3(1-7x)^2+(x+1)\\\\=11x-2-3(1+49x^2-14x)+(x+1)\\\\=11x-2-3-147x^2+42x+x+1\\\\=-147x^2+54x-4[/tex]

Hence, First step is:

solve the term [tex](1-7x)^2[/tex]

Answer:

Option D 170.00.

Step-by-step explanation:

I took the test.

The absolute value of Jamal's score is 20, indicating a loss of 20 points.

In math, the absolute value of a number is the positive value of that number, regardless of its sign. Since Jamal's score on the puzzle was -20 points, we can use absolute value to describe today's score as a loss by taking the absolute value of the score. The absolute value of -20 is 20, which means that today's score was a loss of 20 points.

Answer:

The nth term of sequence is [tex]3n^{2}+7[/tex]

Step-by-step explanation:

We need to find out the general recurrence relation of sequence:

[tex]10, 19, 34, 55[/tex]

if we see pattern of sequence that every square of each number 'n' is multiple of 3 and addition of 7

check this pattern by [tex]3n^{2}+7[/tex]

For n=1

[tex]3n^{2}+7[/tex]

[tex]3(1)^{2}+7[/tex]

[tex]3+7[/tex]

[tex]10[/tex]

For n=2

[tex]3n^{2}+7[/tex]

[tex]3(2)^{2}+7[/tex]

[tex]3\times 4+7[/tex]

[tex]12+7[/tex]

[tex]19[/tex]

For n=3

[tex]3n^{2}+7[/tex]

[tex]3(3)^{2}+7[/tex]

[tex]3\times 9+7[/tex]

[tex]27+7[/tex]

[tex]34[/tex]

And so on..

Therefore, the nth term of sequence is [tex]3n^{2}+7[/tex]

82.80

32.75+39.88=72.63

72.63x1.14=82.7982 rounds to 82.80

multiply 12.50 by 16% to find the new cost

12.50 * 1.16 = 14.50 per student

14.50 * 50 = $725

The value of x will be 16 2/3.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

LMN is a triangle shown in figure.

Now,

Here, LMN is a triangle shown in figure.

By definition of proportionality, we get;

⇒ x / 15 = (20 + x) / (15 + 18)

Solve for x as;

⇒ x / 15 = (20 + x) / 33

⇒ 33x = 15 (20 + x)

⇒ 33x = 300 + 15x

⇒ 33x - 15x = 300

⇒ 18x = 300

⇒ x = 300/18

⇒ x = 50/6

⇒ x = 16 2/3

Thus, The value of x will be 16 2/3.

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