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2 years ago

The pink striped dress that Carolina had been admiring finally went on

Mathematics

1 answer:

amid [387]2 years ago

5 0

Answer:

she will save %60 and pay $90

Step-by-step explanation:

You might be interested in

7 out of 10 doctors prefer cough syrup over any competitors. Using the given ratio, answer the following questions. out of 500 t

luda_lava [24]

Answer:

350

Step-by-step explanation:

All you have to do is:

Multiply the fraction 7/10 by 500=350

7 0

3 years ago

(7-13x^3-11x)-(2x^3+8-4x^5)

riadik2000 [5.3K]

Answer:

4x^5−15x^3−11x−1

Step-by-step explanation:

Simplify the expression. 4x^5−15x^3−11x−1

5 0

3 years ago

Austin got a raise. Their hourly wage was increased from $18.00 to $20.50. What was the percent increase in Austin’s wage to the

agasfer [191]

Answer:

option 3)

14% approx

Step-by-step explanation:

Given data

Initial= $18.00

final =$20.50

% increase= final - initial/initia *100

% increase= 20.50-18.0/18*100

% increase=2.5/18*100

% increase=0.138*100

% increase=13.8%

Hence the increase is 13.8%

=14% approx

7 0

2 years ago

Solve the equation 2 sec² x = 3 - tan x for the domain 0° ≤ x ≤ 360°

vodka [1.7K]

$2 \sec^2 x = 3- \tan x \\\\\implies 2(1 +\tan^2 x) = 3- \tan x \\\\\implies 2 + 2 \tan^2 x +\tan x -3 =0\\\\\implies 2 \tan^2 x + \tan x -1 =0\\\\\implies 2u^2 + u -1 =0~~~ ;[\text{set} \tan x = u]\\\\\implies u = \dfrac{-1\pm \sqrt{1-4\cdot 2 \cdot (-1)}}{2(2)}\\\\\implies u =\dfrac{-1 \pm\sqrt{9}}{4}\\\\\implies u = \dfrac{-1 \pm 3}{4}\\\\\implies u = \dfrac{2}{4}=\dfrac 12~~ \text{or} ~~u =\dfrac{-4}{4} =-1\\\\$

$\implies \tan x = \dfrac 12 ~~ \text{or} ~~ \tan x =-1~~~ ;[\text{Substitute back u =tan x}]\\\\\text{Now,}~ \\\\\tan x = -1,\\\\\implies x = n\pi - \dfrac{\pi}4\\\\\\\text{For interval,}~ [0,2\pi) \\\\x = \dfrac{3\pi}4, \dfrac{7\pi}4\\\\\text{In degrees,}~ x = 135^{\circ}, x =315^{\circ}\\\\\tan x = \dfrac 12\\\\\implies x = n\pi + \tan^{-1} \left(\dfrac 12 \right)\\\\\text{For interval} ~[0,2\pi),\\\\$

$x=\tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\text{in degrees,} ~~x=\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\\\\text{Combine all solutions:}\\\\x=\dfrac{3\pi}4, \dfrac{7\pi}4, \tan^{-1} \left(\dfrac 12 \right), \left[\pi +\tan^{-1} \left( \dfrac 12 \right)\right]\\\\\\$

$\text{In degrees,}~ x = 135^{\circ},~315^{\circ},~\tan^{-1} \left(\dfrac 12 \right), \left[180^{\circ} +\tan^{-1} \left( \dfrac 12 \right)\right]$

4 0

2 years ago

Lisa takes 3 hours to mow the lawn, while her cousin, Barb, takes 2 hours. How long will it take them working together?

Colt1911 [192]

Answer:6 hours

Step-by-step explanation:

3x2=6

5 0

3 years ago

Read 2 more answers