What is measure of angle D? pls provide explanation

Amanda is having new tile installed in her kitchen. TileAll charges a flat fee of $378.00 plus $15.00 per tile. Kitchen Plus cha

myrzilka [38]

Answer:

$C = 495 + 13.05x$

60 tiles.

Step-by-step explanation:

$15.00 per tile plus a flat fee of $378.00 that charges Tile All.

Therefore, for x number of tiles, the total cost of installation will be

C = 378 + 15x ........... (1)

Again, $14.50 per tiles plus a flat fee of $550.00 that charges Kitchen Plus. Amanda has at Kitchen Plus, a 10% discount coupon.

Therefore, for x tiles installation the charges will be

$C = (550 + 14.5x)(1 - \frac{10}{100}) = 495 + 13.05x$ .......... (2) (Answer)

Now, if for x number of tiles both the company charges the same, then

378 + 15x = 495 + 13.05x (From equations (1) and (2)}

⇒ 1.95x = 117

⇒ x = 60 tiles. (Answer)

3 0

3 years ago

Which number is a solution of the inequality?

padilas [110]

we know that

A number is an inequality solution if the number satisfies the inequality

Part 1) $10.6 < b$

rewrite the inequality

$b > 10.6$

The answer Part 1) is the option D $14$

Because $14$ satisfies the inequality

$14 > 10.6$ -----> is true

Part 2) $m > 7/12$

The answer Part 2) is the option A $1$

Because $1$ satisfies the inequality

$1 > 7/12$ -----> is true

Part 3) $8< x(7-x)$

we're going to verify every case

case A) For $x=2$

substitute the value of x in the inequality

$8< 2(7-2)$

$8< 10$ ------> is true

therefore

The number $2$ is a solution

case B) For $x=8$

substitute the value of x in the inequality

$8< 8(7-8)$

$8< -8$ ------> is not true

therefore

The number $8$ is not a solution

case C) For $x=-1$

substitute the value of x in the inequality

$8< -1(7-(-1))$

$8< -8$ ------> is not true

therefore

The number $-1$ is not a solution

case D) For $x=0$

substitute the value of x in the inequality

$8< 0(7-0)$

$8< 0$ ------> is not true

therefore

The number $0$ is not a solution

therefore

The answer Part 3) is the option A $2$

6 0

3 years ago

Read 2 more answers

The opening course of the Dog Olympics involves the dogs running over a parabolic

Lemur [1.5K]

Answer:

x=13 feet

Step-by-step explanation:

A ramp is between 1.96 and 1.80 feet, we will take 1.96

$If R(x) =-0.05x+0.8x$ and R(x)=1.96 feet: we apply quadratic formula; $\frac{-b+-\sqrt{b^{2} -4ac} }{2a}$ , where a=-0.05, b=0.8 and c=-1.96, so

$\frac{-0.8+-\sqrt{0.8^{2}-4*(-0.05)*(-1.96) } }{2*(-0.05)},$ solving $x_{1}=13 ; x_{2} = 3,02$ ; we take the highest value of x, x=13

8 0

3 years ago

Determine whether quantities vary directly or inversely and find the constant of variation.

insens350 [35]

This is a problem in direct variation. For every five minutes that goes by, Liz utters 225 words. The general form of an equation of direct variation is

w = k x, where w is the # of words, k is the constant of proportionality and x is the number of minutes that have elapsed.

Find k by dividing 225 words by 5 minutes, to find the number of words per minute.

Next: How many minutes are there between 10:30 a.m. and 11:15 a.m.? Calculate w=kx, using your constant of proportionality, k, and that number of minutes.

7 0

3 years ago

Sal was tired of waiting for Amir to show up at their meeting place, so he started running at an average speed of 4.5 mph withou

strojnjashka [21]

27 minutes (0.45 hours)

4 0

3 years ago

What is measure of angle D?pls provide explanation​

What is measure of angle D?pls provide explanation