At the library you find nine books on a certain topic the librarian tells you that 55% of the books on this topic have been signed out how many books does the library have available on the topic

When 250 is divided by 10 the 2nd power will be 5².

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

250 is divided by 10. Then the value of the expression will be

⇒ 250 / 10

⇒ 25

Write the expression in the form of 2nd power, then we have

⇒ 25

⇒ 5 x 5

⇒ 5²

When 250 is divided by 10 the 2nd power will be 5².

More about the Algebra link is given below.

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Final answer:

After dividing the pizza into 3 equal parts twice, Lupita has the exact number of pieces needed for the party, which is 27.

Explanation:

The student's question is about dividing a rectangular pizza into equal parts. Lupita cut the pizza into 3 equal pieces, then each piece into 3 equal parts two more times. To determine if Lupita has enough pieces for 27 people, we can use multiplication to find how many total pieces she has created. The math goes as follows:

First division: 1 pizza is cut into 3 pieces.

Second division: Each of the 3 pieces is cut into 3 pieces, resulting in 3 x 3 = 9 pieces.

Third division: Each of the 9 pieces is cut into 3 pieces, resulting in 9 x 3 = 27 pieces.

After the final division, there are 27 pieces of pizza. Therefore, Lupita has enough pieces for the party as the required number of pieces is also 27.

Amount of money Julian can spend on trip= $1250

Amount spent on airfare = $358

Money left for trip = Total money - money spent on airfare= 1250 - 358= $892

So writing an inquality ,

[tex] x\leq 1250-358 [/tex]

where x is amount he can spend on trip.

Solving the inequality,

[tex] x\leq 892 [/tex]

So he can spend less than or equal to $892 on the trip.

Answer:

I'm answering super late but I want to help others who don't know the answer

Step-by-step explanation:

The answer is in the picture.

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Answer:

See attachment

Step-by-step explanation:

Given : Jennifer is on a hiking trip. She begins her hike at an altitude of 4,000 feet, and she is descending with an average speed of 40 feet per minute.

We have to Graph the function that represents the given situation.

Let the y - axis represents the height of Jennifer (in feet) and x axis represents the time (in minutes)

Since initially, Jennifer is at 4000 feet.

and is descending with an average speed of 40 feet per minute.

So when she begins to descend she is at 4000 feet that is y- intercept is 4000.

Then, the equation of graph is given by

y = -40x + 4000

As she is descending at the rate of 40 feet per minute so  -40x

Thus, The graph for the given equation can be drawn as shown below.

also, when x = 100

then y = -40(100) - 4000 = 0

Plot points (0, 4000) , (100,0) to obtain the graph.

The solution to the equation 62 = 5 + x is x = 57. This is found by subtracting 5 from both sides of the equation and checking the solution by substitution.

To solve the equation 62 = 5 + x, we will follow algebraic properties to isolate the variable x.

Therefore, the solution to the equation is x = 57, and after checking, it is reasonable.

Answer:

I can ride 3.3 miles in $10.

Step-by-step explanation:

Let i can ride x miles in $10.

So for first 0.5 miles I have paid = $2.4

The for remaining ride of (x - 0.5) payment done = $[tex]\frac{0.20}{0.1}\times (x-0.5)=2(x - 0.5)[/tex]

I gave the tip = $2

Total payment I have done for the ride = $10

So equation will be

2.4 + 2(x - 0.5) + 2 = 10

4.4 + 2x - 1 = 10

3.4 + 2x = 10

2x = 10 - 3.4

2x = 6.6

x = [tex]\frac{6.6}{2}=3.3[/tex]

Therefore, i can ride 3.3 miles in $10.

Altitude not a point of concurrency in a triangle.

The circumcenter of a triangle is the point at which its three perpendicular bisectors coincide. It is the center of the circle that is equidistant from all three of the triangle's vertices and is circumscribed around the triangle.

As, we know

Any location where three or more lines converge is known as a point of concurrency. The centroids, orthocenters, circumcenters, and incenters are the four points of concurrency that are shared. The intersection of a triangle's three medians is known as the centroid.

So, according to that Altitude not a point of concurrency in a triangle.

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We can see here that according to the agreement, each time Josh jumped the fence, his money would be tripled. Thus, Josh had to pay Sam $54 back for the privilege of jumping.

Josh jumped the fence for the first time. Sam Slick paid Josh the agreed-upon amount, which was triple the initial money Josh had. Then Josh paid Sam $54 back as per the agreement.

We see that Josh jumped the fence for the second time. Sam Slick paid Josh the agreed-upon amount, which was triple the money Josh had after paying Sam $54. After Josh received the payment, he had only $54 left, which was exactly the amount he needed to pay Sam.

Final answer:

The given ratios indicate there should be 17.5 cherries in the fruit salad, but the number must be a whole number. There appears to be an error in the problem statement, as the conditions cannot be met with the total number of fruits given.

Explanation:

Solving the Fruit Salad Problem

Let's define the number of cherries in the fruit salad as x. According to the problem, there are four times as many cherries as raspberries, so the raspberries would be 4x. Since there are twice as many raspberries as blueberries, the blueberries would be 2(4x) = 8x. Lastly, there are three times as many grapes as cherries, meaning there are 3x grapes. To find out how many cherries are in the fruit salad, we can set up the following equation representing the total pieces of fruit:

x + 4x + 8x + 3x = 280

Adding all terms on the left side of the equation gives:

16x = 280

Dividing both sides by 16 to find the value of x gives:

x = 280 / 16

x = 17.5

Since we cannot have half a cherry in the fruit salad, the correct number of cherries must be a whole number. Therefore, it seems there's a mistake in the original statement regarding the relationship between the number of cherries and other fruits. Without the correct ratios or total pieces of fruit, a precise answer cannot be determined.

Final answer:

The two numbers in question are found by setting up a system of linear equations. The larger number is 39.2, and the smaller number is 27.4, found through substitution and simplification of equations representing their relationship and their sum.

Explanation:

The question involves solving a system of linear equations. Given the smaller number is 2 less than 3/4 the larger number, and the sum of the two numbers is 47, we can set up the following equations where x represents the larger number and y represents the smaller number:

y = ¾ x - 2

x + y = 47

We can substitute equation (1) into equation (2) which gives us x + (¾ x - 2) = 47. Solving for x gives us the larger number, and then y can be determined using either equation (1) or (2).

Following these steps:

x + (¾ x - 2) = 47

1¾ x - 2 = 47

1¾ x = 49

x = 49 / (5/4)

x = 49 * (4/5)

x = 39.2 (larger number)

y = ¾ * 39.2 - 2

y = 29.4 - 2

y = 27.4 (smaller number)

Thus, the two numbers are 39.2 and 27.4.