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2 years ago

Which ordered pair is a solution of this equation? -3x + 7y - 6 =

Mathematics

1 answer:

Mumz [18]2 years ago

5 0

Answer:

There are actually an infinite number of ordered pairs that will satisfy the equation y=3x+7 including (-1,4), (0,7) and (1, 10).

Step-by-step explanation:

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There was a 6 square foot piece of wrapping paper for a birthday present

TiliK225 [7]

where's the rest of question so I can help?

5 0

2 years ago

Read 2 more answers

A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$

So, h = 40.2 inches

5 0

2 years ago

1: Ken earned $176 from his part-time job this summer. He spent 25% of his money on games. He is going to donate 14 of the rema

tatiyna

The charity will receive $ 11

<h3>Solution:</h3>

Ken earned $176 from his part-time job this summer

Amount earned = $ 176

He spent 25% of his money on games

Therefore,

Money spent on games = 176 - 25 % of 176

$\text{Money spent on games } = 176 - \frac{25}{100} \times 176\\\\\text{Money spent on games } = 176 - 0.25 \times 176\\\\\text{Money spent on games } = 176 - 44\\\\\text{Money spent on games } = 132$

He is going to donate 1/4 of the remaining money to charity

Reamining amount = 176 - 132 = 44

Therefore,

$Money\ given\ to\ charity = \frac{1}{4} \times 44 = 11$

Thus he gave $ 11 to charity

8 0

3 years ago

The equations -6x + 3y = 6 and x² + y = 10 intersect at the

eimsori [14]

The values of the letters in coordinates (a, b) and (c,d) are;

a = -4

b = -6

c = 2

d = 6

We are given two equations;

-6x + 3y = 6 ---(eq 1)

x² + y = 10 ---(eq 2)

We are told that they intersect at coordinates; (a, b) and (c, d).

Let us make y the subject in eq 2 to get;

y = 10 - x² --(eq 3)

Let us put 10 - x² into eq 1 to get;

-6x + 3(10 - x²) = 6

expanding further gives;

-6x + 30 - 3x² = 6

rearranging gives;

3x² + 6x - 24 = 0

Using online quadratic equation solver, we have;

x = -4 and x = 2

Putting x = -4 into eq 3 gives;

y = 10 - (-4)²

y = 10 - 16

y = -6

Putting x = 2 into eq 3 gives;

y = 10 - (2)²

y = 10 - 4

y = 6

Thus, the coordinates are; (-4, -6) and (2, 6)

Comparing with (a, b) and (c,d), we have;

a = -4

b = -6

c = 2

d = 6

Read more at; brainly.com/question/15165519

5 0

2 years ago

I need the answer to these math questions.

Studentka2010 [4]

Answer:

1) 506.85 minutes

2) 17.33 minutes

3) 23.25 hours

Step-by-step explanation:

1) 16 minutes and 21 seconds

$21\ seconds=\frac{21}{60}\\=0.35\ minutes$

16 minutes and 21 seconds=16.35 minutes

Multiply by 31

$\therefore 16.35\times 31=506.85\ minutes$

2) 537 minutes 20 seconds

$20\ seconds=\frac{20}{60}\\=0.33\ minutes$

537 minutes 20 seconds=537.33 minutes

Divide by 31

$\therefore 537.33\div 31=17.33\ minutes$

3) 999 hours 45 minutes

$45\ minutes=\frac{45}{60}\\=0.75\ hours$

999 hours 45 minutes=999.75 hours

$\therefore 999.75\div 43=23.25\ hours$

8 0

3 years ago