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snow_lady [41]
3 years ago
8

1. The sum of two numbers is 64. One of the numbers is 16 more than 3 times the other. Find the

Mathematics
1 answer:
Mamont248 [21]3 years ago
5 0

Answer:

The two numbers are 52 and 12.

Step-by-step explanation:

x+y=64

x=16+3y

Now, substitute the second equation into the first one.

16+3y+y=64

16+4y=64

4y=48

y=12

Substitute 12 into one of the equations in order to find x.

x=16+3(12)

x=16+36

x=52

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Prove the quadratic formula
STALIN [3.7K]

ax² + bx + c = 0

x = (-b ± √(b² - 4ac))/2a


First, rewrite the first equation so that the first coefficient is 1. Divide everything by a.

(ax² + bx + c = 0)/a =

x² + (b/a)x + (c/a) = 0

Isolate (c/a) by subtracting (c/a) from both sides

x² + (b/a)x + (c/a) (-(c/a) = 0 (- (c/a)

x² + (b/a)x = 0 - (c/a)

Add spaces

x² + (b/a)x          =  -c/a

Take 1/2 of the middle term's coefficient and square it. Remember that what you add to one side, you add to the other.

x² + (b/a)x + (b/2a)² = -c/a + (b/2a)²

Simplify the left side of the equation.

x² + (b/a)x + (b/2a)² = (x + (b/2a))²

(x + b/2a))² = ((b²/4a²) - (4ac/4a²)) -> ((b² - 4ac)/(4a²))

Take the square root of both sides of the equation

√(x + b/2a))² = √((b²/4a²) - (4ac/4a²))

x + b/(2a) = (±√(b² - 4ac)/2a

Simplify. Isolate the x.

x = -(b/2a) ± (∛b² - 4ac)/2a = (-b ± √(b² - 4ac))/2a

~

3 0
3 years ago
Marble Slab Creamery is creating a cone-shaped paper wrapper for its new green Baby Yoda waffle cone. The wrapper should have a
mote1985 [20]

Answer:

3927 cm² wrapping paper will be required.

Step-by-step explanation:

Lateral surface area of a cone shaped wrapper = πrl

where, r = radius of the waffle cone

and l = slant height of the cone

It has been given in the question, radius 'r' = 5cm

and lateral height 'l' = 10 cm

Lateral surface area of the cone = π(5)(10)

                                                      = 50π

                                                      = 157.08 cm²

If they plan to make 25 waffles then wrapper paper required

= 25×157.08

= 3927 cm²

Therefore, 3927 cm² wrapping paper will be required.

3 0
3 years ago
Hey guys umm help me
gavmur [86]
The answer is c

1/6 divided by 1/2

i had this question on my own
3 0
3 years ago
Combine like terms to create an equivalent expression
klasskru [66]

Answer:

1/6a-1/6

Step-by-step explanation:

-2/3 transferred into 6th's is -4/6. You combine like terms, -4/6a+5/6a=1/6a

Then since -1/6 doesn't have a like term, it stays the same.

7 0
3 years ago
The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches = ____________ in2
nevsk [136]

Answer:

150

Step-by-step explanation:

S.A.=2(wl+hl+hw)=

2((3x9)+(4x3)+(4x9))

2(27+12+36)

2(75)

150

8 0
3 years ago
Read 2 more answers
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