What are the coordinates of the center of the circle if this is its equation:x2 + y2 - 16x + 6y +53 = 0

Answers

Answer 1

Answer: Hello,

x²-16x+y²+6y+53=0
==>x²-2*8*x+8² + y²+2*3*y+3²+53-64-9=0
==>(x-8)²+(y+3)²=20
Center is (8,-3) and radius =√20

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If you grow 523 eggplants and sell 378, how many do you have left?

Answers

145, you subtract the total number with how many you sold
523-378=145

If you grow 523 eggplants and sell 378 of them then you will have 145 left.

523 - 378 = 145

Adam is going to cook a turkey for 14 people and wants to allow ¾ lb of turkey for each person. 1lb = 450 g
How much would a turkey cost for 14 people? £

Answers

Missing info:
Turkey Sizes:
small - 2kg - 3.9kg
medium - 4kg - 5.4kg
large - 5.5kg - 7.2kg
extra large - 7.3kg - 9.2kg

Turkey Prices:
Small / Medium - £5.99 per kg
Large / Extra Large - £4.99 per kg

3/4 lb x 14 persons = (3*14)/4 = 42/4 = 10.5 lbs

1 lb = 450 grams

10.5 lbs * 450grams/lb = 4,725 grams

1 kg = 1000 grams

4,725 grams * 1kg/1000 grams = 4725 kg / 1000 = 4.725 kg.

4.725 kg is under the Medium size of the Turkey.

Medium sized turkey costs £5.99 per kg.

4.725 kg * £5.99 per kg = £28.30

A turkey would cost £28.30 for 14 people.

At Pizza Hut they have exponential pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. If Cardona ordered the exponential pizza and was charged $29.25, how many toppings were on his pizza? Write an equation and solve it.

Answers

So you would want to find what would add up to $29.25
So for the toppings ($2.35×5) equals $12.75
Now just add $17.50
SO your equation is:
(2.35×5)+17.50=29.25

Is 30/54 equivalent to 3:5

Answers

Answer:

It is not.

Step-by-step explanation:

See, lets do simplification

30 divided by 10 = 3

54 divided by 10= 5.4

3:5 is not equal to 3:5.4

Given this equation, what is the largest possible value for z?

Answers

Hello,
z=-2x²+15x-3y²+21y-6
=-2(x²-2*15/2*x+(15/2)²) -3(y²-2*7/2y+(7/2)²)-6+2*225/4+3*49/4
=-2(x-15/2)²-3(y-7/2)²+573/4

The max is for x-15/2=0 and y-7/2=0 thus 537/4

The sum of 5x and 2x is at least 14

Answers

$5x+2x\geq14\n7x\geq14\nx\geq2$

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