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3 years ago

If a^2 -b^2 =12 and a-b=4 what is the bay of a +b

Mathematics

1 answer:

slava [35]3 years ago

7 0

Answer:

a+b = 3

Step-by-step explanation:

a = b+4

a^2 = (b+4)(b+4) = b^2 + 8b +16=-b^2 = 12

8b=-4

b = - 1/2

a = 3.5

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The cafeteria can serve 32 lunches in 5 minutes. How long will it take them to serve 57 lunches?

PolarNik [594]

Answer:

Around 364

Step-by-step explanation:

So to fund the answer, you need to find how much they can eat per minute: 32/5 = 6.4 (around 6 lunches)

Then you multiply this by 57: 57x6.4 = 364.8

8 0

2 years ago

The radius of a sphere is 5 yards. Find the<br> volume of the sphere.

FinnZ [79.3K]

Answer:

V = 523.6 yd³

Step-by-step explanation:

The equation for the volume of a sphere of radius r is

V = (4/3)πr³

and if we substitute 5 yds for r, we get

V = (4/3)*π*(5 yd)³, or

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3 0

2 years ago

The Varners live on a corner lot. Often children cut across their lot to scar walking distance. The diagram to the right represe

icang [17]

About 12.56 units.
Solve for x by plugging in values into Pythagorean theorem.
$a^{2} +b^{2} = c^{2}$
$x^{2} +(x+12)^{2} = 34^{2}$
Simplify
$2x^{2} + 24x+144 = 1156$
Subtract 144 from both sides
$2x^{2} + 24x = 1012$
divide both sides by 2
$x^{2} + 12x = 506$
complete the square
$x^{2} + 12x + 36 = 506 +36 . = (x+6)^2 = 542$
take the square root of both sides.
$x+6 = 23.28$
subtract by 6 to get about 17.28 for x.
Plug in values for x to get distance traveled on outside of the yard.
17.28 + (17.28 +12) = 46.56
subtract 34 from the length to get the difference in travel. 46.56-34=12.56

8 0

3 years ago

A pizza baker uses 2.5 cups of flour to make each large pizza. If f represents the number of cups of flour, which equation model

nata0808 [166]

F = 2.5p, where p is 1 large pizza

The first option

7 0

3 years ago

HELP ME PLZZ asap I really need it

Furkat [3]

Answer:

20) 2/32 so colour 2 boxes

21) 7/16

22) 2/60

23) 3/8

24) 35/63 or 5/9

25) 7/32

26) 45/60 or 9/12 or 3/4

27) 1/32

28) 3/21 or 1/7

29) 13/6 × 9/2

= 117/12

30) 3/4 × 17/2

= 51/8

31) 9/8 × 10/3

= 90/24

= 45/12

= 15/4

32) 16/5 × 2/3

= 32/15

sorry if theres any calculation mistake becoz i did all the calculations in mind

Step-by-step explanation:

5 0

3 years ago