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2 years ago

9

Jonele is making a bracelet with red and yellow beads. She alternates 2 red beads with 5 yellow beads. If she needs 16 red beads

to complete a bracelet how many yellow beads does she need?

1 answer:

Papessa [141]2 years ago

8 0

Try multiplying 16 by 5
Then dividing by 2

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1/3(24x - 54) = 11(x-4)+5

fiasKO [112]

Answer:

x = -7

Step-by-step explanation:

<u>Step 1: Distribute</u>

1/3(24x - 54) = 11(x - 4) + 5

8x - 18 = 11x - 44 + 5

<u>Step 2: Solve for x</u>

8x - 18 = 11x - 44 + 5

8x - 18 - 11x + 18 = 11x - 39 - 11x + 18

-3x / 3 = -21 / 3

x = -7

Answer: x = -7

5 0

2 years ago

The average ticket price for a concert at the opera house was $50. The average attendance was 4000. When the ticket price was ra

kotegsom [21]

Answer

given,

opera house ticket = $50

attendance = 4000 persons

now,

opera house ticket = $52

attendance = 3800 person

assuming these are the points on the demand curve

(x, p) = (4000,50) and (x,p) = (3800,52)

using point slope formula

$p-50 = \dfrac{50-52}{4000-3800}(x - 4000)$

$p-50 = \dfrac{-2}{200}(x - 4000)$

$p-50 = \dfrac{-x}{100}+ 40$

$p = \dfrac{-x}{100}+ 90$

R(x) = x . p

$R(x) = x (\dfrac{-x}{100}+ 90)$

$R(x) = \dfrac{-x^2}{100}+ 90x)$

$\dfrac{d}{dx}(R(x)) = \dfrac{d}{dx}(\dfrac{-x^2}{100}+ 90x))$

$\dfrac{d}{dx}(R(x)) = (\dfrac{-2x}{100})+90)$

at $\dfrac{d}{dx}(R(x)) = 0$

$\dfrac{-2x}{100}= -90$

x = 4500

$\dfrac{d^2}{d^2x}(R(x)) = -ve$

hence at x =4500 the revenue is maximum

for maximum revenue ticket price will be

$p = \dfrac{-4500}{100}+ 90$

p = $45

6 0

2 years ago

What is the graph of the inequality 3x+2y>-5

Doss [256]

Answer:

The graph with solution is shown below.

Step-by-step explanation:

We need to find the $x-intercept$ and $y-intercept$ for given equation.

For $x-intercept$ , substitute $y=0$

Considering inequality sign as equality and simplifying,

$3x+2y=-5\\3x+0=-5\\x=-\frac{5}{3}$ , point is $(-\frac{5}{3} ,0)$

Similarly,

For $y-intercept$ , substitute $x=0$

We get,

$3x+2y=-5\\0+2y=-5\\y=-5/2$ , point is $(0,-\frac{5}{2})$

We locate this two points on the graph now and join them.

The joining line will be dotted as the inequality has just 'greater than' symbol. The region above the dotted line is the solution to graph.

4 0

2 years ago

Samantha drew Triangle JKL with the coordinates (2,3), (4, 3) and (5,2). She reflected this image over the x-axis to create an i

zavuch27 [327]

Answer:

J'(2,-3), K'(4, -3) and L'(5,-2)

Step-by-step explanation:

The given triangle has vertices at J(2,3), K(4, 3) and L(5,2).

The transformation rule for a reflection in the x-axis is:

$(x,y)\to (x,-y)$

We substitute the points to obtain the coordinates of the image triangle J'K'L'

$J(2,3)\to J'(2,-3)$

$K(4,3)\to K'(4,-3)$

$L(5,2)\to L'(5,-2)$

In other words, we negate the y-coordinates of triangle JKL to obtain the coordinates of J'K'L'

See attachment for graph.

3 0

2 years ago

What do e and f equal?

Aleks04 [339]

They both equal 78 degrees because they are the same angle which means that they have the same degrees for f and e.

6 0

2 years ago