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3 years ago

At a bead store, glass beads cost $2.85 per ounce. What is the price for 8.6 ounces of glass beads?

Mathematics

2 answers:

viva [34]3 years ago

8 0

The price for 8.6 ounces will cost $24.51

Zielflug [23.3K]3 years ago

4 0

(2.85)(8.6) = $24.51

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Please answer this question

makvit [3.9K]

Step-by-step explanation:

Using the properties of logarithms, the left side of the equation becomes

$\log{3x^3} - \log{x^2} = \log{3x}$

while the right hand side becomes

$\log{27} - \log{x} = \log{\frac{27}{x}}$

so we end up with

$3x^2 =27 \Rightarrow x = 3$

4 0

2 years ago

Sari drives 55 miles per hour. Which equation shows the proportional relationship between hours (h) and miles (m)?

Finger [1]

Answer:

$m=55h$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Let

m ----> the distance in miles (y-coordinate)

h ----> the time in hours (x-coordinate)

In this problem the constant of proportionality k is given and is equal to

$k=55\ \frac{miles}{hour}$ ----> the speed

substitute

$m=55h$

8 0

3 years ago

PQ=2x+1 and QR=5x-44; Find PR

Dima020 [189]

Answer:

x=15

Step-by-step explanation:

subtract 1 from both sides so you are left with 2x=5x-45

then subtract 5x from both sides and you have -3x=-45

then finally divide -3 from -45 to get x=15

4 0

3 years ago

If an x-coordinate repeats, can a relation still be a function?<br><br>I need help right now

Gre4nikov [31]

Answer:

Step-by-step explanation:

if you see any duplicates or repetitions in the x-values, the relation is not a function.

8 0

3 years ago

Using mathematical induction prove whether or not the following statement is true for all positive integers n, or show why it is

aniked [119]

Base case: For $n=1$ , the left side is 2 and the right is $2\cdot1^2=2$ , so the base case holds.

Induction hypothesis: Assume the statement is true for $n=k$ , that is

$2+6+10+\cdots+4k-2=2k^2$

We want to show that this implies truth for $n=k+1$ , that

$2+6+10+\cdots+4k-2+4(k+1)-2=2(k+1)^2$

The first $k$ terms on the left reduce according to the assumption above, and we can simplify the $k+1$ -th term a bit:

$\underbrace{2+6+10+\cdots+4k-2}_{2k^2}+4k+2$

$2k^2+4k+2=2(k^2+2k+1)=2(k+1)^2$

so the statement is true for all $n\in\mathbb N$ .

5 0

3 years ago