factor the following polynomial completely.
0.3x^2-3x+7.2
7 times 23 is it easier to break apart the factor 23,20+3, or 15+8 ,explain
If x is 43, then what is x+1/5x
what is 0.13 +(-5.7)
tickets to the local basketball arena cost $54 for lower bowl seats and $20 for upper bowl seats. A large group purchased 123 tickets at a cost of $4,262. How many of each type of ticket did they purchase? help me please i nee the answer and can you please explain too
The number of lower bowl seats an upper bowl seats tickets to the local basketball arena bought by group is 53 and 70 respectively.
What is system of equation?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.
Tickets to the local basketball arena cost $54 for lower bowl seats and $20 for upper bowl seats. A large group purchased 123 tickets at a cost of $4,262.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.
Learn more about the system of equations here;
https://brainly.com/question/13729904
#SPJ2
two angles are supplementary if the sum of their measures is 180 degrees. find two supplementary angles such that the smaller is 30 degrees more than one-half of the larger.
step by step please
Aaron puts $1,000 in an account that pays 10% interest compounded quarterly. He leaves it in the account for six months. Estimate how much interest he earns.
A. $50
B. $100
C. $150
D. $200
Answer: . $50
Step-by-step explanation:
The formula to find the compound amount (compounded quarterly) is given by :-
[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex], where P Is principal amount, r is the rate of interest in decimal and t is the time in years.
Given : Aaron puts $1,000 in an account that pays 10% interest compounded quarterly.
Then, P=1000, r=10%=0.1 ; t=[tex]\dfrac{6}{12}=0.5[/tex] year
Now, [tex]A=1000(1+\dfrac{0.1}{4})^{4(0.5)}[/tex]
[tex]A=1000(1.025)^{2}=1050.625[/tex]
Then , Compound interest=[tex]A-P=1050.625-1000=50.625\approx\$50[/tex]
Hence, he earns the estimated interest of $50.
PLease help ME!!!!!!!!!!!!!!!!!!
Conduct a poll of adults and students in your area. Ask them how much time they spend online each week that is not for work or school. Describe how you conducted the poll and record the results of the poll in an organized manner below.
is it possible for number to be a rational number that is not an integer but is a whole number explain
A sheet of plywood was made by gluing 7 sheets of wood together.
2 of the sheets were 0.0625 inch thick and the rest were 0.125 inch thick.
how thick was the plywood?
Circle the ordered pairs that are solutions to the inequality y - 2x < - 1.
(1, 0)
(0, 1)
(0, -1)
(-1, 0)
(3, 2)
(-2, -4)
(2, 4)
(-4, 2)
(0, 0)
Please help!
SO YOU HAVE TO IDENTIFY THE PARTS OF THE LISTED EXPRESSION
5t + 3y - 9
Terms:________________
Variable(s)_______________
Coefficent(s)____________________
Variable Term(s)__________________________
Constant Term(s)_________________________-
8 hundreds 4 tens = 84 blank
It takes 37 pounds of seed to completely play a 4 acre field how many acres can be planted per pound of seed
What is the percent of decrease from 58.3 to 40.7?
Round your answer to the nearest tenth of a percent and include a percent sign (%).
how are the perimeters of two similar figures related?
james scored 300 runs in cricket. he requires 900 runs to qualify for league MVP contention. he scores 50 runs during the average of the game. how many games does he have to plsy to score the remaining runs he needs?
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.
I ALREADY SET UP THE GRAPH, I JUST NEED TO KNOW WHAT TO DO NEXT!
During swim practice, an Olympic swimmer is required to complete three swimming intervals, in this order: warm-up freestyle, sprint freestyle, and cool-down breast stroke. After he completes each interval, he rests for three minutes.
Sketch a graph that represents the swimmers’ interval times with respect to swimming speed. Assign the x- and y-axes with appropriate labels. You may use description words instead of numbers to label the graph
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.
Explanation:Once you have set up your graph to represent the Olympic swimmer's interval times with respect to swimming speed, the next steps are:
Label the x-axis with 'Time (min)' because this is the independent variable, and scale it appropriately. Considering that the intervals occur every few minutes and there are rest periods, number the x-axis from 0 to 70 minutes with a tick mark every 10 minutes.For the y-axis, choose a label such as 'Swimming Speed' and decide on a unit that makes sense for your data. The scale should begin at 0 and should be high enough to include the swimmer's fastest speeds. Scales are often made with consistent intervals such as every 1 unit or every 5 units, depending on the range of data.Construct a histogram to visually represent the swimmer's speeds during the intervals. Each bar will show the average speed during a specific interval. Make sure to use a ruler for neatness and accuracy.Consider including three distinct histogram bars for each of the swimming intervals -- warm-up, sprint, and cool-down -- with the heights corresponding to the average speeds of these intervals.Don't forget to mark the rest periods between the intervals. These could be represented by gaps or separate annotations on the x-axis to denote the 3-minute rest times.Finally, ensure the histogram is clear, with each interval and rest period accurately represented in your scaled graph.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.
Explanation:Step 1: Label the graphLabel the x-axis as Time (min) and the y-axis as Interval Time (min).
Step 2: Determine the scaleFor 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.
Step 3: Plot the intervalsUsing 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.
Step 4: Connect the pointsConnect 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 more nickels than dimes in her pocket. She has 40 cents. How many nickels does Carly have How many dimes does Carly have? Show your work.
Carly has 2 nickels and 4 dimes if Carly has 2 more nickels than dimes in her pocket. She has 40 cents.
What is a linear equation?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.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
how to solve cube roots
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:
Start with the cube root symbol (∛) and the number you want to find the cube root of.Estimate the cube root by finding a number that, when cubed, is close to the original number.Test your estimate by cubing it and comparing it to the original number.If your estimate is too high or too low, adjust it and repeat the testing step.Once you have a good estimate, refine it by using a calculator or a computer program.Round the final answer to an appropriate number of decimal places.Tony spent $11.52 for some pens that were on sale for $.72 each how many pens did Tony bye
Tasha finished the first draft of her history essay. The teacher said it had to be at least six hundred words long. She counted in her draft and found she had 369. How many more words does she need to meet the minimum words count for the assignment?
Salama makes fruit baskets with oranges and bananas. She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas. Drag the correct number of fruit into the box to meet these requirements.
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:
evaluate (-B)2 for A=5,B=-4, and C=2
Final answer:
To evaluate [tex](-B)^2[/tex] for A=5, B=-4, and C=2, substitute the given values into the expression. The result is 16.
Explanation:
To evaluate [tex](-B)^2[/tex] for A=5, B=-4, and C=2, we substitute the given values into the expression. Since B=-4, we have [tex](-B)^2=(-(-4))^2=4^2=16.[/tex]
The significance of raising a number to a power lies in its ability to represent repeated multiplication in a concise and efficient manner. Powers allow us to express large numbers and complex mathematical relationships in a compact form. They are fundamental in various mathematical operations, such as arithmetic, algebra, calculus, and number theory. Additionally, powers play a crucial role in scientific notation, where they facilitate the representation of very large or very small numbers in a more manageable format. Overall, understanding powers is essential for comprehending a wide range of mathematical concepts and applications.
What is the unit price for thecans
Please help. I don't know how to answer this.
Andy runs 436.8 meters in 62.08 seconds. I’d Andy runs at a constant speed, how far does he run in one second? Give you answer to the nearest tenth of a second.
David charges $15 plus $5.50 per hour to mow lawns Arie charges $12 plus $6.25 per hour to mow lawns. In what situation is Aries charge greater than or equal to David’s charge?
what number is midway between 1/7 and 1/5. show your work
He outdoor furniture center buys wooden benches for $50each. 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% how much less per bench does the store owner make with the lower markup?
The amount that is reduced from the bench price is $40.
What is the percentage?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
To know more about percentages follow
https://brainly.com/question/24304697
#SPJ2