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2 years ago

3. A local pizza restaurant has two options for birthday parties; the Premium Plan and the

Mathematics

1 answer:

Nitella [24]2 years ago

4 0

Answer:

Most likely C .

Step-by-step explanation:

The premium plan charges 20 dollars per cake. (+ 20) and $5 per child (5x) for pizza.

The premium plan would represent: $5x + 20$

The basic plan would charge $6 per child for pizza.

This would be: $6x$

In a equation when the cost of the premium plan is the same as the basic plan, $20 + 5x = 6x$ would be the best for modeling.

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A carpenter uses a hand saw to cut a piece of wood in half. The length of the saw blade is 40 cm, while the wood he is cutting i

Oxana [17]

Answer:

The equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17

Step-by-step explanation:

The given parameters are;

Length of the saw blade = 40 cm

Thickness of the wood across = 8 cm

Length of blade between wood saw handle with hand extended = 5 cm

Length of the tip from the wood at the above time = 40 - 8 - 5 = 27 cm

Length of blade between wood saw handle with saw pulled inwards = 25 cm

Length of the tip from the wood at the above time = 40 - 8 - 25 = 7 cm

Time for one complete cycle = 1 second

We note that the basic equation for oscillatory motion is of the form;

x(t) = A·cos(ωt) + d

Where:

A = Amplitude of the motion = (27 - 7)/2 = 10 cm

ω = Angular frequency = 2·π/T

ωt = Motion's phase

t = Time of the motion

d = The middle location = 27 - 10 = 17 cm

T = The time to complete a cycle = 1 s

Therefore;

ω = 2·π

Given that he stars with his arm extended out, we have;

27 = 10×cos(2×π×0) + 17

Therefore, the equation that models how far from the tip of the saw is from the wood in terms of time is x(t) = 10×cos(2×π×t) + 17.

4 0

2 years ago

In the expression " 5.3t - (20÷4) + 11" what part is a quotient? Describe its parts.

enyata [817]

Answer:

(20 divided by 4) is the quotient

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Alexis put $2000 in a savings account. After 4 years, she had $2543 in the account. What rate of interest did she earn? Use the

Flauer [41]

This is substitution, it's very simple once you get the hang of it!

okay, what you want to do is plug in the numbers you already have, to get the number you don't have(r).

First, you plug in the numbers.

1. P= $2000
A=$2543
t= 4(years)
r=?

2543=2000^r(4)

Secondly, you want to solve the equation.

5 0

1 year ago

Read 2 more answers

What is 15 tens - 1 gross

vampirchik [111]

Answer:

see the explanation

Step-by-step explanation:

we know that

A gross is equal to 120 ones or ten dozen

what is 15 tens - 1 gross

we know that