Ask question

Ask question

All categories

4 years ago

10

The rate for mailing an envelope is $0.80 per ounce. Choose a function rule that represents the total cost, c(w), to mail an env

elope weighing w ounces. How much will it cost to mail an envelope that weighs 5 ounces?

2 answers:

ANTONII [103]4 years ago

8 0

Answer: c(w) = 0.80 w and the cost of 5 ounces is $4

Step-by-step explanation:

To solve this we can simply use proportionality

from the question,

$0.80 = 1 ounce

c(w) = w

cross multiply

c(w) = $0.80 w

Therefore a function rule that represents the cost c(w) is $0.80 w

For the second part of the question, we are to find the cost of an envelope that weighs 5 ounce

we have different way of doing this, the first of which is to just use our function rule;

c(w) = $0.80 w

we substitute w= 5 into the function. Hence;

c(5) = $0.80 × 5 = $4

OR

We can use a longer method;

let x = the cost of 5 ounces

$0.80 = 1 ounce

x = 5 ounces

cross multi[ply

x = $0.80 × 5 = $4

Therefore, the cost of mailing an envelope that weighs 5 ounces is $4.

lana66690 [7]4 years ago

7 0

$0.80 per ounce.

for w ounces, cost will be: 0.80*w = 0.80w

Therefore c(w) = 0.80w

The cost for 5 ounces = 0.80*5 = 4.00

Cost for 5 ounces = $4.00

Hope this helps.

You might be interested in

Can someone answer and EXPLAIN PLEASE ILL MARK BRAINLIEST

Ganezh [65]

Like terms are terms that contain the same variables raised to the same power. Only the numerical coefficients are different. ... We combine like terms to shorten and simplify algebraic expressions, so we can work with them more easily. To combine like terms, we add the coefficients and keep the variables the same

7 0

3 years ago

Read 2 more answers

A student council has nine officers, of which six are girls and three are boys. If two officers are chosen at random to attend a

Effectus [21]

Answer: $\frac{1}{4}$

Step-by-step explanation:

Given

Student council has 6 girls and 3 boys

If two person chosen at random

Probability that first officer is girl and second is a boy

$=\text{Probability of choosing a girl officer}\times \text{Probability of choosing a boy officer}$

$=\frac{^6C_1}{^9C_1}\times \frac{^3C_1}{^8C_1}$

$=\frac{6}{9}\times \frac{3}{8}$

$=\frac{1}{4}$

8 0

3 years ago

Claire eats two pieces of buttered toast and a glass of pineapple juice for breakfast every day.

Bingel [31]

Answer:

B and C

Step-by-step explanation:

Since the price of one slice is B then 2 pieces has the price of 2B amd the total cost equals 2B+J

then to calculate the total cost for 7 days you have to multiply the cost for one day by 7 which is 7(J+2B) or if you expand that phrase you get 7J+14B

5 0

3 years ago

Read 2 more answers

DerKrebs [107]

<span> If you want to express the vertex form of an equation you have to know that the vertex form of a parabola’s equation can be expressed as: y = a(x - h)</span>²<span> + k. The way you know how the parabola will look like is:

If a is positive then the parabola opens upwards like a U. If a is a negative number, then the graph will open downwards like an upside down U.
<span>
I hope it helps, Regards.</span></span>

5 0

4 years ago

Read 2 more answers

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base

Olenka [21]

Answer:

The base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = $x\times\frac{1}{2} =\frac{x}{2} \ m.$

The height of triangle = $x\times \frac{3}{4} =\frac{3x}{4}\ m.$

The area of triangle = $16\ m^2.$

Now, we put the formula of area to solve:

$Area=\frac{1}{2} \times base\times height$

$16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}$

$16=\frac{3x^2}{16}$

<em>Multiplying both sides by 16 we get:</em>

<em /> $256=3x^2$ <em />

<em>Dividing both sides by 3 we get:</em>

<em /> $\frac{256}{3} =x^2$ <em />

<em>Using square root on both sides we get:</em>

$\frac{16}{\sqrt{3}}=x$

$x=\frac{16}{\sqrt{3}}$

Now, by substituting the value of $x$ to get the base and height:

$Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.$

<em>So, the base of triangle = </em> $\frac{8}{\sqrt{3}} \ m.$ <em />

$Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.$

<em>Thus, the height of triangle = </em> $\frac{12}{\sqrt{3}} \ m.$ <em />

Therefore, the base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

7 0

4 years ago