what is this answer because I don't know how to do it

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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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.

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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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:

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.

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.

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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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.

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.

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

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, +∞)).

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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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.

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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