Given that the package contains 5 pairs of gloves
Let us first establish some facts
We know that a pairs consist of 2 glovesIn all we have 10 glovesNow let us solve for the cost of a glove
if 10 gloves cost 29.45
the 1 glove will cost x
Cross multiply to solve for x
10*x = 1*29.45
divide both sides by 10
x = 29.45/10
x= 2.945
Hence the cost of a single glove is 2.945
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If x is 43, then what is x+1/5x
7 times 23 is it easier to break apart the factor 23,20+3, or 15+8 ,explain
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)_________________________-
factor the following polynomial completely.
0.3x^2-3x+7.2
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?
plz help...Find f(-5)
f(x) = -4x + 3
A)
-17
B)
-7
C)
12
D)
23
8 hundreds 4 tens = 84 blank
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.
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.
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A bread making machine costs $99.The ingredients to make a one pound loaf of bread costs $0.45 .At store, you pay 2.19 for the same size loaf of bread.How many whole loaves of bread will you have to make in order for the cost of the machine and ingredients to be less than the cost of buying an equivalent Amount of bread at the store.
To determine the number of loaves of bread needed to make the cost of the machine and ingredients less than buying bread at the store, set up an inequality and solve for 'x'. With the given values, you would need to make at least 5 whole loaves of bread.
Explanation:To determine how many loaves of bread will need to be made for the cost of the machine and ingredients to be less than the cost of buying bread at the store, we need to compare the costs of making bread and buying bread.
The cost of making a one pound loaf of bread using the machine and ingredients is $0.45. The cost of buying a one pound loaf of bread at the store is $2.19.
Let's assume the cost of making each whole loaf of bread is $0.45. We can set up an inequality to represent the situation:
0.45x < 2.19
Where 'x' is the number of loaves of bread that need to be made.
To solve for 'x', we divide both sides of the inequality by 0.45:
x > 2.19/0.45
Using a calculator, we find that x > 4.87. Rounded up, this means you would need to make at least 5 whole loaves of bread in order for the cost of the machine and ingredients to be less than buying bread at the store.
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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.
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
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What values are needed to make each expression a perfect square trinomial?
x2 + 4x +_____________
x2 – 10x + ____________
Answer:
Part a) [tex]x^{2}+4x+4[/tex]
Part b) [tex]x^{2}-10x+25[/tex]
Step-by-step explanation:
we know that
A perfect square trinomial is equal to
[tex](x+a)^{2} =x^{2}+2ax+a^{2}[/tex]
Part a) we have
[tex]x^{2}+4x[/tex]
Compare with the formula of a perfect square trinomial
[tex]x^{2}+4x=x^{2}+2ax+a^{2}[/tex]
so
[tex]4x=2ax[/tex]
[tex]4=2a[/tex]
[tex]a=2[/tex]
therefore
[tex](x+a)^{2} =(x+2)^{2}=x^{2}+4x+4[/tex]
Part b) we have
[tex]x^{2}-10x[/tex]
Compare with the formula of a perfect square trinomial
[tex]x^{2}-10x=x^{2}+2ax+a^{2}[/tex]
so
[tex]-10x=2ax[/tex]
[tex]-10=2a[/tex]
[tex]a=-5[/tex]
therefore
[tex](x+a)^{2} =(x-5)^{2}=x^{2}-10x+25[/tex]
The values are needed to make each expression a perfect square trinomial x^2 + 4x + 4 and x^2 – 10x + 25.
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
A. [tex]x^{2} +4x+4[/tex]
A perfect square trinomial is
[tex](x+a)^2 = x^2 + 2ax + a^2[/tex]
Compare with the formula of a perfect square trinomial
4x = 2ax
4 = 2a
a = 2
Therefore, [tex](x+a)^2 = (x+2)^2 = x^{2} +4x+4[/tex]
B. [tex]x^{2} -10x + 25[/tex]
A perfect square trinomial is
[tex](x+a)^2 = x^2 + 2ax + a^2[/tex]
Compare with the formula of a perfect square trinomial
-10x = 2ax
-10 = 2a
a = -5
Therefore, [tex](x+a)^2 = (x-5)^2 = x^{2} -10x+25[/tex].
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PLEASE HELP!!!!!!!!!!!!!!!!
What value correctly fills in the blank so that the expressions are equivalent?
18 + 45 = ___ ´ (2 + 5)
2
3
7
9
What is the unit price for thecans
What number is 1/10 as greater as 7962
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.
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A train travels at a constant speed of 75 mi/h. The function f(x) = 75x gives the distance that the train travels in x hours. Graph this function and give its domain and range.
f(x) = 75x represents the distance covered by a train traveling at a constant speed of 75 mi/h. The graph is a line with a constant slope of 75, originating from (0,0). The domain and range of the function are both all non-negative real values ([0, +∞)).
Explanation:To graph the function f(x) = 75x, where x represents time in hours and f(x) represents distance in miles, we construct a simple 2D graph. In this case, the graph will be a straight line sloped upward, starting from the origin (0,0), since the time and distance both start from zero. The slope of the line corresponds to the speed of the train, 75 mi/h, indicating that the train covers 75 miles each hour.
The domain, or possible x-values, of this function are all non-negative real numbers since time cannot be negative. In mathematical terms, this is [0, +∞). The range, or possible f(x)-values, are also all non-negative real numbers as the distance covered also cannot be negative. So, the range is also [0, +∞).
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Add.
(5y - 1) + (-2y + 4)
A) 3y - 5
B) 3y + 3
C) 7y + 3
D) 7y - 3
Jack travels 2.45 miles to school. Wanda travels 2.31 miles to school. Compare the distances using words
Plz help really easy but don't guess asap plz
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 (%).
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.
List 3 prime numbers between 30 and 60...
Answer:
The three prime numbers are, 31, 37, and 41.
How I got the answer:
1. 31 is a prime number: 31 x 1 = 31
1 x 31 = 31
2. 37 is a prime number: 37 x 1 = 37
1 x 37 = 37
3. 41 is a prime number: 41 x 1= 41
1 x 41 = 41
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.NEED TO KNOW!!!!!
San rotated parallelogram ABCD 90 clockwise around the origin. If angle A is 130 and angle B is 50, what is the degree measurement of angle A
A: 80 degrees
B: 130 degrees
C: 50 degrees
D: 180 degrees
this brain plus is BS u cant do anything all the stuff i need is blocked
Chalene wants to cut her hair but is a little nervous. She decides to cut it off slowly so she can get used to it as it gets shorter. Right now, her is is 11.5 inches past her shoulders. She decides to cut an inch and a half off her hair every week. Write an expression to describe the length of her hair in relationship to her shoulders.
Final answer:
The length of Chalene's hair in relation to her shoulders can be described using the expression:
Length of hair = 11.5 - 1.5n,
where 'n' represents the number of weeks. Each week, Chalene cuts 1.5 inches off her hair.
Explanation:
To describe the length of Chalene's hair in relation to her shoulders, we can use the expression:
Length of hair = 11.5 - 1.5n
where 'n' represents the number of weeks.
Each week, Chalene cuts 1.5 inches off her hair, so we subtract 1.5 from the previous length to get the new length.
For example, after 1 week, the length of her hair will be 11.5 - 1.5(1) = 10 inches past her shoulders.
Solve. (–16.1) • 9.4 • (–7.2) = x • (–7.2) • (–16.1) A. 9.4 B. 1 C. –7.2 D. –16.1
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.