Ask question

Ask question

All categories

3 years ago

14

The book store is having a sale on bookmarks. Each bookmark is on sale for $0.84. Each student in Ms. Duke's class decides to bu

y a bookmark. There are 23
students in Ms. Duke's class. How much will the class spend on bookmarks at the book store?

1 answer:

Natali [406]3 years ago

4 0

The class will spend 19.32 on bookmarks
$0.84 x 23 = 19.32

You might be interested in

What is the answer plz help homework

kompoz [17]

Eururhtntbtbthtgrhr 13733

8 0

3 years ago

Read 2 more answers

Mathematics I need help please

mel-nik [20]

5 1/7 x 1/9= 36/7 ×1/9= 4/7

8-3/2= 8-1 1/2= 7 1/2

7 0

3 years ago

What is the square root of

Veronika [31]

Sq rt of 8464= 92
sq rt of 29584= 172
sq rt of 15376= 124
sq rt of 10816 = 104
sq rt of 21904 = 148
sq rt of 44100= 210
We call these perfect squares.

5 0

2 years ago

In 2000, the average monthly price for basic cable television in the United States was $29.99. In 2016, the average monthly pric

Lelu [443]

Answer:

$y(x) = 29.99 + 1.86x$

The cost of basic cable television in the United States in the year 2020 will be $67.19.

Step-by-step explanation:

The linear function has the following format.

$y(x) = y(0) + ax$

In which y(x) is the cost x years after 2000, y(0) is the initial cost, that is, the cost in 2000, and a is the slope(how much the cost changes in a year).

In 2000, the average monthly price for basic cable television in the United States was $29.99.

This means that $y(0) = 29.99$

In 2016, the average monthly price for the same basic cable television was $59.75.

2016 is 16 years after 2000. So

$y(16) = 59.75$

Write a linear function that models the cost of basic cable television in the United States for x years after 2000.

$y(x) = y(0) + ax$

Applying y(16).

$59.75 = 29.99 + 16a$

$16a = 29.76$

$a = \frac{29.76}{16}$

$a = 1.86$

So

$y(x) = 29.99 + 1.86x$

Use the linear function to determine the cost of basic cable television in the United States in the year 2020.

2020 is 20 years after 2000, so this is y(20).

$y(x) = 29.99 + 1.86x$

$y(20) = 29.99 + 1.86*20 = 67.19$

The cost of basic cable television in the United States in the year 2020 will be $67.19.

3 0

3 years ago

Any help with this greatly appreciated.

Anestetic [448]

Put the equation in standard linear form.

$x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}$

Find the integrating factor.

$\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5$

Multiply both sides by $\mu$ .

$(t+5) x'(t) + x(t) = 5(t+5)e^{5t}$

Now the left side the derivative of a product,

$\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}$

Integrate both sides.

$(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt$

On the right side, integrate by parts.

$(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C$

Solve for $x(t)$ .

$\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}$

3 0

2 years ago