Lucy is thinking of a number. the number is greater than two hundred twenty-five. her number is less than 2hundred, 2 tens,7 ones. what is lucy number? howq do i solve this

Answer:

[tex]\text{2 Dimes}< \text{2 Dollars}[/tex]      

Step-by-step explanation:

A dime has a value of 10 cents. It is a 10 cent coin.

So, the value of 2 dime = [tex]2\times10 = 20 \text{ cents}[/tex]

Now, 1 dollar consist of 100 cents.

1 dollar = 100 cents

so, the value of 2 dollars = [tex]2\times100 = 200\text{ cents}[/tex]

Comprinf, 2 dimes and 2 dollars, we have,

[tex]\text{2 Dimes}< \text{2 Dollars}[/tex]

as

[tex]\text{20 Cents}< \text{200 Cents}[/tex]

A system of linear equations can be used to model the given situation. The number of rows with exactly 2 passengers can be found by solving the equation 2x = 12, and the number of rows with exactly 3 passengers can be found by solving the equation 3y = 12.

To write a system of linear equations, we need to translate the given information into algebraic expressions.

Let n be the number of packets of crackers.

According to the problem:

To determine the number of rows with exactly 2 passengers and 3 passengers:

The system of linear equations is:

p = 2n + 9

pn = 3(2n + 9)

2x = 12

3y = 12

We can solve this system of equations to find the values of x and y.

Final answer:

The term order of magnitude refers to the scale of a value expressed in the metric system. Each power of 10 in the metric system represents a different order of magnitude. For example, 10¹, 10², 10³, and so forth are all different orders of magnitude.

Explanation:

The term order of magnitude refers to the scale of a value expressed in the metric system. Each power of 10 in the metric system represents a different order of magnitude. For example, 10¹, 10², 10³, and so forth are all different orders of magnitude. All quantities that can be expressed as a product of a specific power of 10 are said to be of the same order of magnitude. For example, the number 800 can be written as 8 x 10², and the number 450 can be written as 4.5 x 10². Thus, the numbers 800 and 450 are of the same order of magnitude: 10². Order of magnitude can be thought of as a ballpark estimate for the scale of a value. The diameter of an atom is on the order of 10⁻⁹ m, while the diameter of the sun is on the order of 10⁹ m.

The requried, Devon needs to score between 46% and 95% on the fifth test to receive a final grade of a B in the course.

To find the range of grades Devon needs on the fifth test to receive a final grade of a B (between 80% and 90% inclusive), we need to consider the average of all five tests.

Let's denote the grade on the fifth test as "x" (in percentage).

The average of the five tests will be:

Average = (92% + 82% + 88% + 92% + x) / 5

To achieve a final grade of a B, the average must be greater than or equal to 80% but less than 90%:

80% ≤ Average < 90%

Now, substitute the given grades and the variable "x" into the average equation:

(92% + 82% + 88% + 92% + x) / 5 ≥ 80%

(92 + 82 + 88 + 92 + x) / 5 ≥ 80

(354 + x) / 5 ≥ 80

354 + x ≥ 400

x ≥ 400 - 354

x ≥ 46

Now, for the upper limit:

(92 + 82 + 88 + 92 + x) / 5 < 90

(354 + x) / 5 < 90

354 + x < 450

x < 450 - 354

x < 96

So, Devon needs to score between 46% and 95% on the fifth test to receive a final grade of a B in the course.

Learn more about averages here:

https://brainly.com/question/28883997

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Devon must score between 46% and 91% on his fifth test to achieve a B average in the course.

To determine the range of grades on the fifth test that would give Devon a final grade of B, we need to calculate the average of the five test scores. For an average to fall between 80% and 90%, the total sum of the five test grades must be between 400% and 449%, since 5 tests × 80% = 400% and 5 tests × 89% (just below 90%) = 445%. Devon's current grades add up to 92% + 82% + 88% + 92% = 354%. Therefore, to achieve a B, his fifth test score needs to be between 400% - 354% = 46% and 445% - 354% = 91%.

To find the measure of ANGLE AXC, we assume Angle AXB is supplementary to Angle AXC. Solving the supplementary angle equation with the given expressions, we find x = 16. Substituting x back into the expression for Angle AXC, we determine its measure to be 121 degrees.

The question asks to find the measure of ANGLE AXC given that the measure of Angle AXC is represented by the expression 8x-7 and Angle AXB is represented by the expression 3x+10. Without additional context, it is not clear whether Angle AXB is related to Angle AXC in a way that would allow us to solve for x. However, if we assume Angle AXC and Angle AXB are supplementary angles (which sum to 180 degrees), we could set up the equation 8x - 7 + 3x + 10 = 180. If we solve this equation, we get:

Once we have found that x = 16, we can substitute it back into the expression for Angle AXC:

Therefore, the measure of ANGLE AXC is 121 degrees.

Final answer:

The question asks for the average speed of the second car given that two cars travel in opposite directions and the total distance between them after 4 hours. By calculating the distance one car traveled at 20 mph after 4 hours, it's possible to determine that the other car must have traveled at an average speed of 60 mph to cover the remaining distance.

Explanation:

The student's question is a problem involving distance, speed, and time, which are fundamental concepts in mathematics. To find the average speed of the other car, we can use the formula distance = speed times time. Since the two cars travel in opposite directions, their distances add up to the total separation distance after a certain time.

In this case, one car travels at 20 mph, so in 4 hours it covers 20 mph times 4 h = 80 miles. The total distance between them after 4 hours is 320 miles. Therefore, the distance covered by the second car is 320 miles - 80 miles = 240 miles. To find the average speed of the second car, we divide the distance it covered by the time it traveled which is 240 miles / 4 h = 60 mph. Hence, the average speed of the other car is 60 mph.

Answer:FG=29+29

Step-by-step explanation:

Answer:

The quotient is:

                    [tex]xy^6+2y-6[/tex]

Step-by-step explanation:

We are asked to find the quotient of the mathematical expression which is given in terms of variable x and y is represented as:

[tex]=\dfrac{6x^2y^8+12xy^3-36xy^2}{6xy^2}[/tex]

Here the numerator is:

[tex]6x^2y^8+12xy^3-36xy^2[/tex]

and the denominator is:

[tex]6xy^2[/tex]

We can also represent our numerator term by the method of factoring it as:

[tex]6x^2y^8+12xy^3-36xy^2=6xy^2(xy^6+2y-6)[/tex]

Hence, our expression gets converted by replacing the numerator term to:

[tex]\dfrac{6x^2y^8+12xy^3-36xy^2}{6xy^2}=\dfrac{6xy^2(xy^6+2y-6)}{6xy^2}\\\\\dfrac{6x^2y^8+12xy^3-36xy^2}{6xy^2}=xy^6+2y-6[/tex]

                 Hence, the quotient is:

                  [tex]xy^6+2y-6[/tex]

The distance between any 2 points P(a,b) and Q(c,d) in the coordinate plane, is given by the formula:

 [tex]|PQ|= \sqrt{ (a-c)^{2} + (b-d)^{2}}[/tex]

Using this formula we calculate the distances |PA|, |PB|, |PC|, |PD| and |PE| and compare to 5.

[tex]|PA|= \sqrt{ (-2-2)^{2} + (-2-1)^{2}}= \sqrt{16+9}= \sqrt{25}=5 [/tex]

[tex]|PB|= \sqrt{ (-2-4)^{2} + (-2+1)^{2}}= \sqrt{36+1}= \sqrt{37} \approx 6 [/tex]

[tex]|PC|= \sqrt{ (-2-2)^{2} + (-2+3)^{2}}= \sqrt{16+1}= \sqrt{17}\approx4 [/tex]

[tex]|PD|= \sqrt{ (-2+6)^{2} + (-2+6)^{2}}= \sqrt{16+16}= \sqrt{32}\ \textgreater \ \sqrt{25}=5 [/tex]

[tex]|PE|= \sqrt{ (-2+5)^{2} + (-2-1)^{2}}= \sqrt{9+9}= \sqrt{16}=4 [/tex]

Answer: B and D

subtracting the smaller number from the larger number

ex. 1+ -5 becomes 5-1 = 4, since the larger number is the negative, the answer is negatives oit is -4

ex2. -5+7 = 7-5 = 2, since the larger number is positive, the answer is positive 2

We have

SinC/ c  = Sin A / a

Sin 71/ 26 = Sin A / 27

Sin A  = 27 Sin 71 /  26  = about .982

So°

Sin-1(.982)  = A  = 79. 08°

Then angle B = 180 - 71 - 79.08 = 29.92°

And b is given by

b/sin29.92  = 26/sin 71

b = 26sin29.92/sin71 =  about 13.72

But A could also be an obtuse angle = 180 - 79.08 =  100.92°

So we have

B = 180 - 71 - 100.92 = 8.08°

And we have

b / sin 8.08  = 26/sin71

b = 26sin8.08/sin 71 = 3.865

Answer:  81/8 simplified form = 10 1/8 mixed form

Step-by-step explanation:

Hi, to answer this question we have to solve the expression:

First, we have to convert the mixed fractions into improper fractions:

-2 1/4 = -(2 x 4 +1) /4 = -9/4

-4 1/2 = -( 4 x 2 + 1 ) / 2 = -9/2

Next, we have to simply multiply both numbers:

-9/4 x -9/2 = 81/8 simplified form = 10 1/8 mixed form

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

6.5 gallons = 24.6052 liters

6.5 has 2 significant figures, so it would need to be 25 liters

Given the statements, we cannot conclude whether Mike will or will not go to the bank; therefore, no conclusion is possible.

The statement 'If Mike gets paid today, then Mike will go to the bank' sets up a conditional relationship where Mike going to the bank is dependent on whether he gets paid or not. The second statement 'Mike did not get paid today' is a fact that allows us to draw a conclusion about the first conditional statement.

Since the condition for Mike going to the bank (getting paid) is not met, we cannot conclude that Mike will go to the bank based on the information given. However, this also does not mean that Mike will not go to the bank for some other reason. Therefore, the only valid conclusion we can draw here is option D: 'No conclusion is possible' about Mike's action related to going to the bank.

Answer:

This is an example of inductive reasoning.

Step-by-step explanation:

You eat at several Mexican restaurants and decide that Mexican food is hot. This is an example of inductive reasoning.

Inductive reasoning is defined as the type of reasoning, where multiple premises are considered and all are believed to be true. These are combined to obtain a specific conclusion.