Ask question

Ask question

All categories

3 years ago

13

Deal A is at Walmart and they are selling 50 cupcakes for $30 dollars but gives you 10% discount. Deal B is at Costco gives you

50 percent more cupcakes at the same price at $30 of but no discount. which is a better deal.

1 answer:

nadezda [96]3 years ago

3 0

Answer:

Deal B

Step-by-step explanation:

Deal A : $ 30 *10%=3 dollars

the price for 50 cupcake is 27 dollars (54 cent for one cupcake)

Deal B: 50*50%= 25 more cupcake

75 cupcake for 30 dollars ( 40 cents per cupcake)

Deal B is better than Deal A

You might be interested in

Whats the simplest form for 20/30

Ket [755]

Answer: 2/3 is the simplest form

8 0

3 years ago

Read 2 more answers

Prove it. this question is from trigonometry

konstantin123 [22]

Answer:

See below for step-by-step proof.

Step-by-step explanation:

$\textsf{Given expression}:$

$\cos^6 \theta+\sin^6 \theta$

$\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:$

$\implies (\cos^2 \theta)^3+(\sin^2 \theta)^3$

$\textsf{Use the identity}\quad a^3+b^3=(a+b)^3-3ab(a+b):$

$\implies (\cos^2 \theta+\sin^2 \theta)^3-3 \cos^2 \theta\sin^2 \theta (\cos^2 \theta+\sin^2 \theta)$

$\textsf{Use the identity}\quad \sin^2 \theta + \cos^2 \theta=1:$

$\implies (1)^3-3 \cos^2 \theta\sin^2 \theta (1)$

$\implies 1-3 \cos^2 \theta\sin^2 \theta$

$\implies 1-3 (\cos \theta\sin \theta)^2$

$\textsf{Use the identity}\quad \sin 2 \theta=2 \sin \theta \cos \theta \implies \dfrac{1}{2}\sin 2 \theta= \sin \theta \cos \theta:$

$\implies 1-3 \left( \dfrac{1}{2}\sin 2 \theta\right)^2$

$\implies 1-\dfrac{3}{4} \sin^2 2 \theta$

$\textsf{Use the identity}\quad \sin^2 2\theta + \cos^2 2\theta=1 \implies \sin^2 2\theta=1-\cos^2 2\theta$

$\implies 1-\dfrac{3}{4} \left(1-\cos^2 2 \theta\right)$

$\implies 1-\dfrac{3}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\implies \dfrac{1}{4} +\dfrac{3}{4}\cos^2 2 \theta$

$\textsf{Factor out }\dfrac{1}{4}:$

$\implies \dfrac{1}{4}\left(1+3\cos^2 2 \theta\right)$

$\textsf{Use the identity}\quad \cos (4 \theta)=2 \cos^2 2\theta - 1 \implies \cos^2 2 \theta=\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}:$

$\implies \dfrac{1}{4}\left(1+3\left(\dfrac{1}{2}\cos 4 \theta+\dfrac{1}{2}\right)\right)$

$\implies \dfrac{1}{4}\left(1+\dfrac{3}{2}\cos 4 \theta+\dfrac{3}{2}\right)$

$\implies \dfrac{1}{4}\left(\dfrac{5}{2}+\dfrac{3}{2}\cos 4 \theta\right)$

$\implies \dfrac{1}{4} \cdot \dfrac{1}{2}\left(5+3\cos 4 \theta\right)$

$\implies \dfrac{1}{8}\left(5+3\cos 4 \theta\right)$

6 0

2 years ago

In - ABC shown below, side AC is extended to point D with mZ DAB = (180 – 3x) °,

Setler [38]

Answer:

<BAC = 36degrees

Step-by-step explanation:

Find the diagram attached

The sum of the interior angle is equal to the exterior. Hence;

<B + <C = <DAB

6x+40 + x+20 = 180 - 3x

7x+60 = 180 - 3x

7x+3x = 180 - 60

10x = 120

x = 120/10

x = 12

Get <BAC

<BAC = 180 - (180-3x)

<BAC = 180-180+3x

<BAC = 3x

<BAC = 3(12)

<BAC = 36degrees

4 0

3 years ago

How many solutions does the equation 3(2.4x +4)=4.1x+7+3.1x

BabaBlast [244]

The equation has 0 solutions.

7 0

3 years ago

madam [21]

The distance traveled by the ray will be 26 inches. Then the correct option is B.

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected.

If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively.

Then the distance traveled by the ray will be

We know the formula

D² = L² + W² + H²

We have

L = 24 in

W = 6 in

H = 8 in

Then the distance will be

D² = 24² + 6² + 8²

D² = 576 + 36 + 64

D² = 676

D = 26 in

Thus, the correct option is B.

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ1

7 0

2 years ago