ms clay said that 21 out of 25 students passed her dpm what percent of the students did not pass her dpm

Mark charges 100.00 for an encoding work. In addition, he charges 5.00 per page of printed output.

o-na [289]

The total amount charged for each work can be expressed by the equation : 100 + 5x

Fixed charged per work = 100.00

Charge per page printed = 5.00

<u>Let the number pages printed be represented as x :</u>

Total amount charged for n pages can be related thus :

Fixed charge per work + (cost per page × number of pages)

100 + 5x

Therefore, the total amount charged can be expressed with the equation 100 + 5x

Learn more :brainly.com/question/18796573

7 0

2 years ago

Use technology to create an appropriate model of the data. (-2,-9), (0,-3), (1,0), (3,6), (5,12)

kiruha [24]

Screenshots of the model are attached.

3 0

3 years ago

Read 2 more answers

Cynthia besch wants to buy a rug for a room that is 23ft wide and 26ft long. She wants t ok leave a uniform strip of floor aroun

Lostsunrise [7]

Answer:

Dimension of rug is $(15\times 18)\ ft$

Step-by-step explanation:

Given: Area of rug= 270 ft²

Cynthia besch wants to buy a rug for a room that is 23ft wide and 26ft long.

Let´s assume the uniform strip size of floor around rug be "x".

As given, Cynthia wants to leave a uniform strip of floor around the rug.

∴ Rug dimension will be $(23-2x)\times (26-2x)$

We know, area of rectangle= $width\times length$

Forming an equation for area of rug.

⇒ $270= (23-2x)\times (26-2x)$

Now solving the equation to find the dimension of rug.

$270= (23-2x)\times (26-2x)$

Using distributive property of multiplication.

⇒ $270= 598-46x-52x+4x^{2}$

⇒ $598-98x+4x^{2}= 270$

Subtracting both side by 270

⇒ $4x^{2}-98x+328= 0$

using quadratic formula to solve the equation.

⇒ Formula: $\frac{-b\pm \sqrt{b^{2}-4(ac) } }{2a}$

∴ In the expression , we have a= 4, b= -98 and c= 328.

Now, subtituting the value in the formula.

= $\frac{-(-98)\pm \sqrt{-98^{2}-4(4\times 328) } }{2\times 4}$

= $\frac{98\pm \sqrt{9604-4(1312) } }{8}$

Opening parenthesis.

= $\frac{98\pm \sqrt{9604-5248 } }{8}$

= \frac{98\pm \sqrt{4356}}{8}

We know 66²=4356 and √a²=a or -a

= $\frac{98\pm 66}{8}$

= $\frac{98+66}{8}\ or \ \frac{98-66}{8}$

= $20.5 \ or\ 4$

∴ Value of x will be either 20.5 ft or 4 ft

Ignoring decimal value, therefore taking value of x is 4 ft

Subtituting the value of x to find the dimension of rug.

Width of rug= $(23-2x)$

⇒ Width of rug= $23- 2\times 4$

⇒ Width of rug= $23-8= 15\ ft$

Next, Length of rug= $(26-2x)$

⇒ Length of rug= $(26-2\times 4)$

⇒ Length of rug= $26-8= 18\ ft$

Hence, dimension of rug is $(15\times 18)\ ft$

6 0

3 years ago

Does anyone know what the formula is?

N76 [4]

Answer:

29.50 degrees to the nearest hundredth.

Step-by-step explanation:

First we can find the measure of < CGB by using the Cosine Rule:

cos <CGB = (11^2 - 5.3^2 - 6.9^2) / (-2 * 5.3 * 6.9)

= -0.61936

So m < CGB = 128.27 degrees.

Now we can find the measure of x by using the Sine Rule:

11 / sin 128.27 = 6.9 / sin x

sin x = 6.9 * sin 128.27 / 11

= 0.49248

x = 29.5035 degrees

6 0

3 years ago

Read 2 more answers

The line with an x-intercept of (4, 0) and a slope of -2

dlinn [17]

9514 1404 393

Answer:

y = -2(x -4)

Step-by-step explanation:

The equation of the line is conveniently written in point-slope form, since we are given a point and a slope. That form is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

Using the given point and slope, the equation for the line is ...

y = -2(x -4)

__

This simplifies to the slope-intercept form ...

y = -2x +8

6 0

3 years ago