All categories

3 years ago

The ratio of plates to napkins is 18:72 Write. The ratio in its simplest form

Mathematics

1 answer:

RideAnS [48]3 years ago

7 0

The ratio in simplest form would be 2:8 because you divide both 18 and 72 by 9 to get 2 and 8

You might be interested in

Whoever gets it correct first gets brainliest

timama [110]

3)
82 + p >= 150
p>= 150 - 82
p>= 68

answer A.

4)
x/-10 > 6
x > -60
answer
x > -60

5)
5z >= - 75
z >= -75/5
z >= -15

answer
z >= -15

7 0

2 years ago

The first 3 figures in a pattern are shown.

Gennadij [26K]

C because wikenenebbejebe

4 0

2 years ago

Write the slope-intercept form of the equation of the line that is perpendicular to and passes through Point X. Show all work fo

Semmy [17]

Answer:

$y =\dfrac{12}{5}x + 22$

Step-by-step explanation:

Slope-intercept form of line:

First find the slope of the line AB. ie, m

Slope of the perpendicular line = -1/m

(2 , 3) ⇒ x₁ = 2 & y₁ = 3

(-10, 8) ⇒ x₂ = -10 & y₂ = 8

$\boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}$

$= \dfrac{8-3}{-10-2}\\\\=\dfrac{5}{-12}\\\\=\dfrac{-5}{12}$

$\sf slope \ of \ the \ perpendicular \ line \ m_1 = \dfrac{-1}{m}= -1 \ \div \dfrac{-5}{12}$

$\sf = -1 * \dfrac{12}{-5}=\dfrac{12}{5}$

Equation of the required line: y = mx + b

$y =\dfrac{12}{5}x+b$

The line passes through (-5 , 10). Substitute in the above equaiton,

$10 =\dfrac{12}{5}*(-5) + b\\\\ 10 = (-12) + b\\\\$

10 + 12 = b

b = 22

Equation of the line:

$y =\dfrac{12}{5}x + 22$

3 0

2 years ago

A, b, c, d are the roots of 3x⁴-6x²+2=0. what is the value of a⁴+b⁴+c⁴+d⁴?

Pani-rosa [81]

Hello,

P(x)=x^4-6x²+2=(x-a)(x-b)(x-c)(x-d)
=x^4-(a+b+c+d)x^3+(ab+ac+ad+bc+bd+cd)x^2-(abc+abd+acd+bcd)x+abcd

==>
ab+ac+ad+bc+bd+cd=-6
abc+abd+acd+bcd=0
abcd=2
a+b+c+d=0 ==>(a+b+c+d)²=0=a²+b²+c²+d²+2(ab+ac+ac+bc+bd+cd)
==>a²+b²+c²+d²=0-2*(-6)=12

if a is a root P(a)=0==>a^4-6a²+2=0
if b is a root P(b)=0==>b^4-6b²+2=0
if c is a root P(a)=0==>c^4-6c²+2=0
if d is a root P(a)=0==>d^4-6d²+2=0

==>a^4+b^4+c^4+d^4-6(a²+b²+c²+d²)+4*2=0
==>a^4+b^4+c^4+d^4=-8+6*12=64

6 0

3 years ago

Solve for x x-3/4=x/10

BARSIC [14]

Given <span>x-3/4=x/10 find the LCD. It is 20, as both 4 and 10 divide evenly into 20.

Then you have 20x - 15 = 2x, or 18x = 15, or x = 15/18, or x =5/6 (answer).</span>

3 0

3 years ago