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3 years ago

Can you help me please.

Mathematics

1 answer:

Kamila [148]3 years ago

5 0

9514 1404 393

Answer:

a. (-1/2, 5)

Step-by-step explanation:

The coefficients of x have opposite signs, so the x-terms can be eliminated by adding the two equations.

(2y -12x) +(3y +12x) = (16) +(9)

5y = 25 . . . . . . simplify

y = 5 . . . . . . . . .divide by 5

This matches only answer choice A.

Check

The other part of answer choice A is x = -1/2. We can test this to make sure it works:

2(5) -12(-1/2) = 16

10 + 6 = 16 . . . . . . true, the selected answer works OK

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What is the correct answer to this?

ra1l [238]

Answer:

33.4933 ≈ 33.5 mm³

Step-by-step explanation:

Given that,

→ Radius (r) = 2 mm

Formula we use,

→ 4/3 πr³

Let's solve for the volume of sphere,

→ 4/3 πr³

→ 4/3 × 3.14 × 2 × 2 × 2

→ 4/3 × 3.14 × 8

→ 4/3 × 25.12

→ 100.48/3

→ 33.4933

→ [ ≈ 33.5 mm³ ]

Hence, volume of sphere is 33.5 mm³.

7 0

1 year ago

Read 2 more answers

The projected sales volume of a video game cartridge is given by the function s(p) = 3000 / (2p + a), where s is the number of c

Alex_Xolod [135]

Answer: 149 cartridges will be sold at 20 dollars per cartridge.

Step-by-step explanation:

Given: The projected sales volume of a video game cartridge is given by the function $s(p)=\dfrac{3000}{2p+a}$ , where s is the number of cartridges sold, in thousands; p is the price per cartridge, in dollars; and a is a constant.

Put s(p)=100000, p= 10, we get

$100000=\dfrac{3000}{2(10)+a}\\\\\Rightarrow\ 100=\dfrac{3}{20+a}\\\\\Rightarrow\ 100(20+a)=3\\\\\Rightarrow\ 2000+100a=3\\\\\Rightarrow\ 100a=-1997\\\\\Rightarrow\ a=-19.97$

i.e. $s(p)=\dfrac{3000}{2p-19.97}$

Put p=20, we get

$s(20)=\dfrac{3000}{2(20)-19.97}\\\\=\dfrac{3000}{40-19.97}\\\\=\dfrac{3000}{20.03}\approx149$

Hence, 149 cartridges will be sold at 20 dollars per cartridge.

8 0

3 years ago

4x+9=41 x is equal to

Mariana [72]

Answer and Step-by-step explanation:

Simply solve for x (very easy to do).

4x + 9 = 41

Subtract 9 from both sides of the equation.

4x = 32

Divide both sides of the equation by 4.

x = 8

x is equal to 8.

#teamtrees #PAW (Plant And Water)

7 0

2 years ago

After a reflection, segments are drawn between corresponding points on the image of a triangle and its preimage. What is the rel

valkas [14]

they are all parallel to each other.
Thanx !

8 0

3 years ago

The measure of the supplement of an angle exceeds three times the measure of the complement by 30. Find the measure of the angle

USPshnik [31]

Answer:

Angle = 45

Supplement = 135

Complement = 45

Step-by-step explanation:

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3 years ago