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3 years ago

A piano costs $1000. It is on sale

Mathematics

1 answer:

Taya2010 [7]3 years ago

3 0

Answer:

$856

Step-by-step explanation:

$1000x(1-20%)x(1+7%)

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Find the slope of the given line, if it is defined.

il63 [147K]

Answer: A. The slope is $-\dfrac{4}{3}$ .

Step-by-step explanation:

The slope of a line helps to specify the direction of the line.

The slope of a line that passes through (a,b) and (c,d) is given by :-

$\text{Slope}=\dfrac{d-b}{c-a}$

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

$\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}$

Hence, the slope is $-\dfrac{4}{3}$ .

8 0

2 years ago

A newspaper subscription costs $60. Mary Ellen can get a discount of 25% off through her work. How much will Mary Ellen pay for

AysviL [449]

Answer:

$45

Step-by-step explanation:

6 0

3 years ago

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A picture frame (see figure) has a total perimeter of 3 feet. The width of the frame is 0.64 times its length. Find the dimensio

Naya [18.7K]

Answer:

$\approx 0.59\text{ ft by }0.91\text{ ft}$

Step-by-step explanation:

Let $\ell$ represent the length of the rectangle. The width can be represented as $0.64\ell$ .

The perimeter of a rectangle with lengths $l$ and $w$ is given by $p=2l+2w$ .

Thus, we have:

$2\ell+2(0.64\ell)=3,\\2\ell +1.28\ell=3,\\3.28\ell=3,\\\ell=0.91463414634\approx 0.91$

The width is then $0.64(0.91463414634)=0.58536585365\approx 0.59$ .

8 0

3 years ago

Find thhe remainder when 7^203 is divided by 4

Aleksandr [31]

Using the square-and-multiply approach, we have

$7^{203}=7\times(7^{101})^2$
$7^{101}=7\times(7^{50})^2$
$7^{50}=(7^{25})^2$
$7^{25}=7\times(7^{12})^2$
$7^{12}=(7^6)^2$
$7^6=(7^3)^2$
$7^3=7\times7^2$

and so, using the property that, if $a_1\equiv b_1\mod n$ and $a_2\equiv b_2\mod n$ , then $a_1a_2\equiv b_1b_2\mod n$ , we get

$7\equiv3\mod4$
$7^2\equiv9\equiv1\mod4$
$7^3\equiv7\times1\equiv7\equiv3\mod4$
$7^6\equiv9\equiv1\mod4$
$7^{12}\equiv1\mod4$
$7^{25}\equiv7\times1\equiv7\equiv3\mod4$
$7^{50}\equiv9\equiv1\mod4$
$7^{101}\equiv7\times1\equiv7\equiv3\mod4$
$7^{203}\equiv7\times9\equiv3\times1\equiv3\mod4$

4 0

3 years ago

Katrina said that the lines y=-2/3x + 5 and y = -3/2x + 2 are perpendicular. Explain Katrina's error.

Elis [28]

There shouldn't be a negative in front of one of the equations.

8 0

3 years ago

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