Is 4/5 equivalent to 5/6?

The number of  lower bowl seats an upper bowl seats tickets to the local basketball arena bought by group is 53 and 70 respectively.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Let the number of lower bowl seats purchased by group is x and upper bowl seats is y. As number of ticket purchased is 123. Thus,

[tex]x+y=123[/tex]        

Solve it further,

[tex]x+y=123\\x=123-y[/tex]             ....1

The total cost of ticket is 4262. Thus,

[tex]54x+20y=4262[/tex]

Put the value of x in this equation,

[tex]54(123-y)+20y=4262\\6642-54y+20y=4262\\-34y+20y=4262-6642\\-34y=-2380\\y=\dfrac{2380}{34}\\y=70[/tex]

Put this value in equation 1,

[tex]x=123-70\\x=53[/tex]

Thus the number of  lower bowl seats an upper bowl seats tickets to the local basketball arena bought by group is 53 and 70 respectively.

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Answer:

[tex]\frac{6 \ oranges }{4 \ bananas}[/tex] and [tex]\frac{9 \ oranges}{6 \ bananas}[/tex]

Step-by-step explanation:

An image is missing here. However, using the given ratio we can find different  representations of fruits.

We know that the ratio between oranges and bananas is

[tex]\frac{3 \ oranges}{2 \ bananas}[/tex]

So, if she uses between 8 and 16 oranges and bananas, we can only use ratios that fall between this numbers.

Some ratios that represent this situation are

[tex]\frac{6 \ oranges }{4 \ bananas}[/tex] using 10 oranges and bananas.

[tex]\frac{9 \ oranges}{6 \ bananas}[/tex] using 15 ranges and bananas.

This two ratios are the ones that can be used, because other ratios don't fall between the interval (8,16).

Therefore, the valid ratios here are

[tex]\frac{6 \ oranges }{4 \ bananas}[/tex] and [tex]\frac{9 \ oranges}{6 \ bananas}[/tex]

Answer:

9 orange

6 bananas

Step-by-step explanation:

After labeling and scaling the axes on your graph to represent the swimmer's interval times with respect to swimming speed, construct a histogram with bars for each workout interval and denote rest periods. Use a ruler for precision and clarity in your graph.

Once you have set up your graph to represent the Olympic swimmer's interval times with respect to swimming speed, the next steps are:

To sketch a graph representing the swimmer's interval times with respect to swimming speed, start by labeling the axes with Time (min) and Interval Time (min). Then, determine the appropriate scale for each axis. Plot the interval times on the graph and connect the points with lines.

Label the x-axis as Time (min) and the y-axis as Interval Time (min).

For the x-axis, number the axis from 0 to 70 minutes with a tick mark every 10 minutes. For the y-axis, use a scale from 0 to 160 minutes with a tick mark every 10 minutes.

Using the information given, plot the interval times on the graph. Start with the warm-up freestyle, then the sprint freestyle, and finally the cool-down breast stroke. Each interval time should be represented on the y-axis.

Connect the plotted points for each interval with a line. This will represent the swimmer's interval times with respect to swimming speed.

Carly has 2 nickels and 4 dimes if Carly has 2 more nickels than dimes in her pocket. She has 40 cents.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Carly has 2 more nickels than dimes in her pocket. She has 40 cents.

Let x be the number of nickels  Carly has and y be the number of dimes Carly has.

5(x + 2) + 10x = 40

5x + 10 + 10x = 40

15x = 30

x = 2 nickles

y = x + 2 = 2 + 2 = 4 dimes

Thus, Carly has 2 nickels and 4 dimes if Carly has 2 more nickels than dimes in her pocket. She has 40 cents.

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The amount that is reduced from the bench price is $40.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the outdoor furniture centre buys wooden benches for $ 50 each. The furniture store owner adds a 200% markup to the cost of the bench. After hearing from customers that the selling cost of the bench is too high the owner changes the markup to 120%.

The price at 200% markup is,

Price = 50 x 2 = $100

The price at 120% markup is,

Price = 50 x 1.2 = $60

The reduced price is,

Reduced = 100 - 60 = $40

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Final answer:

To solve cube roots, follow these steps: estimate, test, adjust, refine, and round the final answer.

Explanation:

To solve cube roots, you need to find the number that, when multiplied by itself three times, gives you the original number. Here are the steps:

James needs to score a total of 900 runs for MVP contention. Subtracting the 300 runs he has already made from the 900 required leaves 600 runs. By dividing these 600 remaining runs by his average of 50 runs per game, we find that James needs to play 12 more games.

James currently scored 300 runs and needs a total of 900 runs for MVP contention. To find out how many more games he must play, we need to calculate the remaining runs required and divide that number by the average runs he scores per game. The remaining runs needed are 900 - 300, which equals 600. As James scores an average of 50 runs per game, we divide the remaining runs, 600, by 50 to find the number of games he needs to play.

600 ÷ 50 = 12 games

Therefore, James will need to play 12 more games to score the remaining runs he requires for league MVP contention.