Lindsey has 50 coins in her change purse that are either dimes or quarters.if y represents the number of quarters she has,write an algebraic expression in terms of y that describes the number of dimes.

Answers

Answer 1

Answer: since y represents the number of quarters,
the number of dimes=50-y
if the number of dimes represents x, the equation would be
y=50-x

Answer 2

Answer:

Final answer:

The number of dimes that Lindsey has can be represented by the algebraic expression 50 - y, where y is the number of quarters.

Explanation:

Lindsey has a total of 50 coins which are either dimes or quarters. Let y represent the number of quarters Lindsey has. That means the total number of coins, 50, is the sum of the number of quarters (y) and the number of dimes (we'll call this x). So, we can write this equality as x + y = 50, where x is the number of dimes. We want an algebraic expression for x, the number of dimes, in terms of y, the number of quarters. From the equation above, we can solve for x: x = 50 - y. Therefore, the number of dimes Lindsey has in terms of the number of quarters is 50 - y.

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Please help, I'll mark brainliest.

Answers

I'm almost certain it's C :)

Write the Riemann sum to find the area under the graph of the function f(x) = x3 from x = 2 to x = 5.

Answers

Answer: The answer is 152.25 sq units.

Step-by-step explanation: Given function to be integrated is

$f(x)=x^3,~~x=2~~\textup{to}~~x=5.$

To find the area of the given curve from x = 2 to 5, first we need to integrate the function and we will put the boundary values and subtract the smallest from largest value.

The Riemann sum and the formula to find the area is given by

$A=\int_(x=2)^(5)f(x)dx\n\n\Rightarrow A=\int_(2)^(5)x^3dx\n\n\Rightarrow A=[(x^4)/(4)]_2^5=(1)/(4)(625-16)=152.25$

Thus, the required area is 152.25 sq units.

The area under the graph of the function $f\left( x \right) = {x^3}$ from $x = 2$ to $x = 5$ is $\boxed{152.25{\text{ unit}}{{\text{s}}^2}}.$

Further explanation:

Given:

The function is $f\left( x \right) = {x^3}.$

The function is defined in the interval from $x = 2$ to $x = 5.$

Explanation:

The given function is $f\left( x \right) = {x^3}.$

Integrate the given function with respect x.

$\begin{aligned}Area &= \int\limits_2^5 {f\left( x \right)dx} \n&= \int\limits_2^5 {{x^3}dx}\n&= \left[ {\frac{{{x^4}}}{4}} \right]_2^5\n&= \left( {\frac{{{5^4}}}{4} - \frac{{{2^4}}}{4}} \right)\n\end{aligned}$

Further solve the above equation to obtain the area under the curve,

$\begin{aligned}{\text{Area}} &= \frac{{625}}{4} - \frac{{16}}{4}\n&= \frac{{625 - 16}}{4}\n&= 152.25\n\end{aligned}\n$

The area under the graph of the function $f\left( x \right) = {x^3}$ from $x = 2$ to $x = 5$ is $\boxed{152.25{\text{ unit}}{{\text{s}}^2}}.$

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Answer details:

Grade: High school

Subject: Mathematics

Chapter: Riemann function

Keywords: Riemann, sum, area, graph function, Riemann sum, area under the curve, function, $f(x) -= x3, x = 2, x = 5.$

The temperature on Wednesday was 8° more than a third of Tuesday’s temperature. If T represents Tuesday’s temperature, write an expression for Wednesday’s temperature, W.

Answers

I love these problems -- you don't have to do math -- it's all just reading and using logic! So we're saying T represents Tuesday. 8 more than can be expressed as what? +8. A third can be expressed as what? 1/3. What are we splitting into thirds? T. Therefore, 1/3t+8 is your answer.

Answer:

what is it

Step-by-step explanation:

Expand the logarithmic expression log(8) a/2

Answers

$log _(8) (a)/(2) = \n log _(8)a - log_(8) 2 = \n log _(8)a - (1)/(3)log _(2)2= \n log _(8)a - (1)/(3)$

Final answer:

The given logarithmic expression log(8a/2) can be expanded as 2 log 2 + log a by using the properties of logarithms.

Explanation:

The question is asking to expand the logarithmic expression log(8a/2). The properties of logarithms can be applied in order to simplify it. There are two key properties that will be used. First, the logarithm of a product of two numbers is the sum of the logarithms of the two numbers, which can be represented as log xy = log x + log y. Second, the logarithm of the number resulting from the division of two numbers is the difference between the logarithms of the two numbers, represented as log (a/b) = log a - log b.

With these properties in mind, we can start simplifying the given logarithmic expression. The expression log(8a/2) can be represented as log 8 + log a - log 2. Simplifying further, we get log 2^3 + log a - log 2, which simplifies further to 3 log 2 + log a - log 2. Simplifying one more step gives 2 log 2 + log a.

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Between 1998 and 2018, inflation for prices of goods and services has been about 51%. Suppose a salon charged $18 for a basic haircut in 1998 and has been raising prices by a steady percentage each year to keep up with inflation.What is the price of a haircut at the salon in 2008? Explain or show your reasoning.

In 2003, the salon charged $19.95 for a basic haircut. Find the cost of the basic haircut in 2013. Explain your reasoning.

Answers

9514 1404 393

Answer:

$22.12
$24.51

Step-by-step explanation:

For some growth factor f each year, the growth factor over 20 years is given as ...

f^20 = 1 +0.51 = 1.51

Then the growth factor in 10 years is ...

f^10 = (f^20)^(1/2) = √1.51 ≈ 1.22882

a) In the 10 years between 1998 and 2008, the price of a basic haircut would rise to ...

$18 × 1.22882 ≈ $22.12 . . . price in 2008

b) In the 10 years between 2003 and 2013, the price of a basic haircut would rise to ...

$19.95 × 1.22882 ≈ $24.51 . . . price in 2013

What is an equation in Point slope form for the line perpendicular to y=2x+13 that contains (8,-4)?

Answers

given that equation, you should know the slope=2
so the slope of the line perpendicular to it is -1/2
so now put it in point slope form

y-(-4) = -1/2 (x-8)

Final answer:

To find the equation of a line perpendicular to y = 2x + 13 that contains the point (8, -4), we first determine the slope of the given line, which is 2. Then, we find the negative reciprocal of the slope to get the perpendicular slope, which is -1/2. Using the point-slope form of a line, we substitute the coordinates of the given point and the perpendicular slope to write the equation of the line.

Explanation:

To find the equation of a line perpendicular to y = 2x + 13 in point-slope form, we first need to determine the slope of the given line. The equation y = 2x + 13 is already in slope-intercept form, where the coefficient of x represents the slope. So, in this case, the slope is 2.

Since the line we are looking for is perpendicular to y = 2x + 13, we know that the slopes of the two lines are negative reciprocals of each other. Therefore, the slope of the line we're looking for is -1/2.

Now, we can use the point-slope form of a line, which is y - y1 = m(x - x1), to write the equation of the line. Plugging in the given point (8, -4) and the slope -1/2 into the equation, we get:

y - (-4) = -1/2(x - 8)

Simplifying further,

y + 4 = -1/2x + 4

Finally, simplifying the equation, we get:

y = -1/2x.

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