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3 years ago

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Meg has saved up $350 to purchase a new TV from the local store. The sales tax in her county is 5% of the sticker price. Write a

n equation and solve it to determine the value of the highest priced TV Meg can purchase with her $350, including the sales tax. Round your answer to the nearest penny.

1 answer:

Sergio [31]3 years ago

3 0

For this case we have:

Let p be the highest price of the TV that Meg can buy

We have to:

5% of p is given by:

$0.05p$

So, we have:

$p + 0.05p = 350$

Clearing p we have:

$1.05p = 350$

$p=\frac{350}{1.05}\\p=333.33$

Thus, the highest price of the television that Meg purchases should be $p = 333.33$ dollars.

Answer:

$p + 0.05p = 350\\p = 333.33$

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Write the equation in slope-intercept form then change it to standard form with integer coefficients.

SCORPION-xisa [38]

Answer:

1. Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

2. Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

3. Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

Step-by-step explanation:

Slope intercept form: $y = mx + b$

where:

$y$ = y-coordinate
$m$ = slope
$x$ = x-coordinate
$b$ = y-intercept

Standard form: $Ax + By = C$

$\textsf{1. as} \ m=2: \ \ y = 2x + b$

$\textsf{at} \ (6, 8): \ \ 8 = 2(6) + b$

$\implies b = -4$

Slope-intercept form: $y = 2x - 4$

Standard form: $2x - y = 4$

$\textsf{2. as} \ \ m = \dfrac12: \ \ y = \dfrac12x + b$

$\textsf{at} \ (4, 1): \ \ 1 = \dfrac12(4) + b$

$\implies b = -1$

Slope-intercept form: $y = \dfrac12x - 1$

Standard form: $x - 2y = 2$

$\textsf{3. as} \ \ m = \dfrac45: \ \ y = \dfrac45x + b$

$\textsf{at} \ (1,5): \ \ 5 = \dfrac45(1) + b$

$\implies b = \dfrac{21}{5}$

Slope-intercept form: $y = \dfrac45x + \dfrac{21}{5}$

Standard form: $4x -5y = - 21$

7 0

2 years ago

Plz help cause idk what to do

mixer [17]

Answer:

<em>-9.5 + 6x ≥ 42.1 </em>

<em>6x ≥ 51.6</em>

x ≥ 8.6

Here, we can see that x is greater than or equal to 8.6. So, we can say that 8.6 is the lowest value of x

but we have 2 options with 8.6 as the lowest term, we can see that the brackets are different in the beginning

the '[' bracket tells us to include 8.6 in the values of x whereas the '(' bracket tells to exclude 8.6 from the possible values of x

since we know that x is greater than or equal to 8.6, we will use the '[' bracket

Hence, b is your answer

<em></em>

<em>PS: i need one brainly to reach the next rank, if you find this answer helpful. Mark Brainliest </em>

8 0

3 years ago

Whole page for 81! Good luck!

OLEGan [10]

Answer:

Prime number: A prime number has factor of only 1 and itself.

Ex: 3: 1 and 3 are the only ways to compose 3.

A whole number that has factors other than 1 and itself is called a composite number.

Ex: 8: the factors of 8 include 1,2,4,8

Circle 5,7,2,19,3,11

Box 18,20,22,16,15,30,26,38,45,10,21,6,14

To determine the prime factorization of a number, you must break down a number into its factors. (im not sure?)

Continute until all of the factors are (im not sure)

Prime factorization is written exponential form (im not quite sure)

30= 2x3x5

30= 2^1 3^1 5^1

24=2 × 2 × 2 × 3

24= 2^3 x 3

sorry idrk if they are all right

6 0

3 years ago

Karen claps her hand and hears the echo from a distant wall 0.113 s later. How far away is the wall? The speed of sound in air i

insens350 [35]

Answer:

19.3795 m

Step-by-step explanation:

If sound travels at 343 m/s and it took Karen 0.113 s to hear the echo from the wall, the distance travelled by the sound is:

$D=343\frac{m}{s} *0.113\ s\\D= 38.759\ m$

Note that the distance calculated above is the distance travelled from Karen to the wall and then back from the wall to Karen. Therefore, the distance between Karen and the wall is:

$d=\frac{38.759}{2}\\d=19.3795\ m$

The wall is 19.3795 m away from Karen.

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3 years ago

Amelia claims that if she doubles the length and width of the base of a rectangular prism and triples the height, she has increa

julia-pushkina [17]

Answer:

Step-by-step explanation:

(2L)(2W)(3H) = 12LWH.

Amelia gets it.

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3 years ago