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3 years ago

11

Michael has a collection of 1404 race cards.He hopes to sell the collection in packs of 36 cards,and make 633.75 when all the pa

cks are sold.If each pack is priced the same,how much should Michael charger per pack?

1 answer:

Anna007 [38]3 years ago

6 0

He should charge 16.25 for each pack

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Solve x2 − 8x + 5 = 0 using the completing-the-square method. (2 points)

RoseWind [281]

Answer:

$x = 4 + \sqrt{11}, \: \: x = 4 - \sqrt{11}$

Step-by-step explanation:

${x}^{2} -8x + 5 = 0 \\ \\ {x}^{2} - 8x + {4}^{2} = - 5 + {4}^{2} \\ \\ {(x - 4)}^{2} = - 5 + 16 \\ \\ {(x - 4)}^{2} = 11 \\ \\ x - 4 = \pm \sqrt{11} \\ \\ x = 4 \pm \sqrt{11} \\ \\ x = 4 + \sqrt{11}, \: \: x = 4 - \sqrt{11}$

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3 years ago

Amy has completed 21 deliveries so far this week.she needs to make 60 deliveries for the week.what percentage of her deliveries

Nonamiya [84]

Answer:

65% to go or 35% already delivered

Step-by-step explanation:

Amy has completed 35% of her deliveries since 21/60 is .35

If the question is how much she has left, Amy needs to complete 65% more of her deliveries.

If the question is how much she has completed, she has delivered 35% of her deliveries.

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3 years ago

At First Class Pizza, 12% of the pizzas made yesterday were pepperoni pizzas. If 27 pizzas have pepperoni, how many pizzas were

gogolik [260]

Answer: 225

Step-by-step explanation:

Let the total number of pizza made be represented by x.

Therefore, the situation in the question can be written as:

12% × x = 27

12/100 × x = 27

0.12 × x = 27

0.12x = 27

Divide both side by 0.12

0.12x/0.12 = 27/0.12

x = 225

The total pizza made was 225.

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3 years ago

What value for x satisfies the equation below? 12(x-2)+3x=13(x+12)+10x

inna [77]

Answer: Exact Form: x = − 45 /2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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3 years ago

Item 16 A sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. What is the difference of the vol

Zigmanuir [339]

Answer:

$672\pi \text{ cm}^3$ .

Step-by-step explanation:

We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.

We will use volume formula of sphere to solve our given problem.

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$ , where r is radius of sphere.

The difference of volumes would be volume of larger sphere minus volume of smaller sphere.

$\text{Difference of volumes}=\frac{4}{3}\pi(\text{8 cm})^3-\frac{4}{3}\pi(\text{2 cm})^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512)\text{ cm}^3-\frac{4}{3}\pi(8)\text{ cm}^3$

$\text{Difference of volumes}=\frac{4}{3}\pi(512-8)\text{ cm}^3$

$\text{Difference of volumes}=4\pi(168)\text{ cm}^3$

$\text{Difference of volumes}=672\pi\text{ cm}^3$

Therefore, the difference between volumes of the spheres is $672\pi \text{ cm}^3$ .

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4 years ago