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4 years ago

Find the solution of y = 2x + 5 for x = 1.

Mathematics

1 answer:

Mumz [18]4 years ago

6 0

Answer:

1.)

y = 2x + 5 for x = 1

y = 2(1) + 5

y = 2 + 5

y = 7

2.) The function rule that relates the total cost of the party to the number of children n.

TCP = $60 + $4(n)

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Snape has 2000 mL of a magic potion solution that is 30% DeMuggle Juice. He also has hundreds of 25 mL bottles that are full of

ELEN [110]

Answer:

Step-by-step explanation:

We use the equation for the percentage of solute concentration in a solution:

$volume percent = \frac{volume of solute}{volume of solution} * 100$ (1)

In this case the equiation (1) is transformed into:

$34 = \frac{Total volume of DeMuggle juice}{Total volume of the magic potion} * 100$ (2)

n = number of times he must waves his wand to have a solution that is at least 34% DeMuggle juice.

Vpo = Initial volume of the magic potion = 2000ml

Vjo= Initial volume of DeMuggle juice = 30% * Vpo = (0.3)2000 = 600ml

Vb= Volume of a bottle = 25ml

Vjb = DeMuggle juice volume in a bottle = 75% * Vb = (0.75)25= 18.75ml

Vpmt = Total volume of the magic potion = 2000 + 25*n = Vpo + Vb * n

Vjt = Total volume of DeMuggle juice = 600 + 18.75*n = Vjo + Vjb * n

Replacing in (2):

$34 = \frac{600 + 18.75*n }{2000 + 25*n} *100$

$\frac{34}{100} (2000 + 25*n) = (600 + 18.75* n)$

$680+8.5*n=600+18.75*n$

$80 = 10.25*n$

$n = 7.8$

Since the number of times the wand should be waved must be an integer, it approximates 8

Replacing n=8 in (1)

$\frac{600+(18.75*8)}{2000+(25*8)} *100 = 34.0909$

6 0

4 years ago

Find the 120th term of the following sequence <br> 7, 14, 21, ...<br> a120 =

dlinn [17]

Answer:

840

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 14 - 7 = 21 - 14 = 7

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 7 , thus

$a_{120}$ = 7 + (119 × 7 ) = 7 + 833 = 840

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3 years ago

At the store, a frozen turkey costs $0.99

Nana76 [90]

Answer:frozen turkey is $11.00 fresh is $20.28 cents

Step-by-step explanation:

so $8.40 cents

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3 years ago

The triangle with side lengths 4, 4, and 5 would be

iogann1982 [59]

An Isosceles triangle.

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3 years ago

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GarryVolchara [31]

Answer:

Step-by-step explanation:

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3 years ago