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3 years ago

I need answers to 15 and 16 pleaseeeee

Mathematics

1 answer:

Elden [556K]3 years ago

3 0

$15. \: 12x + 7 = 5x + 5 + 58\Leftrightarrow 7x = 56\Leftrightarrow x = 8 \\ 16. \widehat{BDC} = 5x + 5 = 5 \times 8 + 5 = 40 + 5 = 45°$

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Ramon is a waiter. He waits on a table of 4 whose bill comes to $99.69. If Ramon receives a 20% tip, approximately how much will

vlabodo [156]

99.69/100=.9969
.9969*20=19.938
Ramon would receive ~ $19.94

4 0

3 years ago

How many solutions does this linear system have? one solution: (0, 0) one solution: (1, –4) no solution infinite number of solut

Anna35 [415]

The system of equations has infinite solutions.

<h2>Given to us,</h2>

$y=-6x+2$
$-12x-2y=-4$

<h3>Equation 2,</h3>

The value of y is already given in equation 1,

$-12x-2y=-4$

substituting the value of y in equation 2,

$-12x-2(-6x+2)=-4\\-12x +12x-4=-4\\-12x+12x=-4+4\\0=0$

The solution of the two equations is 0. Also, we can see that both the equations are in ratio.

Further, the image also shows that the line of the two equations are coinciding.

Hence, the system of equations has infinite solutions.

Learn more about System of solutions:

brainly.com/question/14264175

3 0

2 years ago

The perimeter of a rectangle is 42 inches, and its area is 110 square inches. find the length and width of the rectangle.

lorasvet [3.4K]

$p = 2w + 2l$ $p = 42$
$a = l * w$ $a = 108$

You want to make either the length or width variable (I chose the width variable to be by itself. It doesn't matter) by itself by:

Divide both sides by 2.
(p) ÷ 2 = (2w + 2l) ÷ 2
$2's$ $cancel$ $out$
$\frac{p}{2} = w + l$

Subtract both sides by either length or width depending on what variable you chose to make by itself (in this case I subtracted the length variable because I wanted the width variable by itself).
$\frac{p}{2} - l = w + l - l$
$l's$ $cancel$ $out$
p/2 - l = w

$a = l * w$

You replace w with the equation above p/2 - l = w
$a = l( \frac{p}{2} - l)$

Multiply out the L.
$a = \frac{p}{2}l - l^{2}$

Plug in all your numbers a = 110 and p = 42
$110 = \frac{42}{2}l - l^{2}$
$110 = 21l - l^{2$

Move everything to the left side so $l^{2}$ would be positive (makes the equation easier when $l^{2}$ is positive).
$l^{2} - 21l + 110 = 0$

Factor.
$(l -10)(l-11) = 0$

Make each parenthesis set equal to 0.
$l-11=0$ $l-10=0$

Add.
$l = 11$ $l = 10$

By doing this you solve for both the width and length so the answer is:
w = 11 L = 10

8 0

3 years ago

List all pairs of numbers that would have 20 as their LCM

Eddi Din [679]

The pair of numbers that would have 20 as their lcm is 4 and 5

6 0

3 years ago

Plz help me well mark brainliest if correct!!...

valina [46]

Answer:

You should stick with option D

4 0

3 years ago