Write the ratio 75g:3kg in its simplest form

Sierra is selling bracelets to raise money for the Language Club at school. Each bracelet with yellow beads sells for $5. Each b

matrenka [14]

Answer:

Correct answer is:

$5y+6r=660\\y=2r+8$

Step-by-step explanation:

Given that Number of bracelets with yellow beads is represented by $y$

Each bracelet with yellow beads is sold for $5.

Total money raised by bracelets with yellow beads = Number of bracelets sold $\times$ Money raised by sale of one such bracelet = $5y$

Also Given that Number of bracelets with Orange beads is represented by $r$

Each bracelet with orange beads is sold for $6.

Total money raised by bracelets with orange beads = Number of bracelets sold $\times$ Money raised by sale of one such bracelet = $6r$

Given that total money raised by sale of both type of bracelets is $660.

so, the first equation becomes:

$5y+6r=660 ....... (1)$

It is also given that "The number of bracelets with yellow beads that Sierra sold is 8 more than twice the number of bracelets with orange beads"

$\Rightarrow r =2r+8 ...... (2)$

So, by equation (1) and (2), the system of equations is:

$5y+6r=660\\y=2r+8$

5 0

2 years ago

A cosine function has been reflected over the x-axis and horizontally compressed by a factor of One-third

romanna [79]

Answer:The answer is D

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

What is the solution to 2 log Subscript 9 Baseline (x) = log Subscript 9 Baseline 8 + log Subscript 9 Baseline (x minus 2) x = n

Kaylis [27]

Answer:

$\large\boxed{\large\boxed{x=4}}$

Step-by-step explanation:

The equation to solve is:

$2\log_9 x=\log_9 8+\log_9 (x-2)$

1. On the left-hand side use: "The product of a constant by a logarithm is equal to the logarithm raised to the constant"

Thus, the left-hand side is:

$2\log_9 x=\log_9 x^2$

2. On the right-hand side use "The sum of two logarithms with the same base is the logarithm of the product":

Then, on the right-hand side:

$\log_9 8+\log_9 (x-2)=\log_9 8(x-2)$

3. Make them equal:

$\log_9 x^2=\log_9 8(x-2)$

4. Since the two functions are the same, make the arguments equal:

$x^2=8(x-2)$

5. Solve the equation:

$x^2=8x-16\\\\x^2-8x+16=0\\\\(x-4)^2=0\\\\x-4=0\\\\x=4\leftarrow solution$

4 0

2 years ago

Read 2 more answers

Kenise is looking for a job that has benefits. She'd like to work in one place and not have to search for a new job anytime soon

solong [7]

Answer:

Kenise is looking for a job that has benefits. She'd like to work in one place and not have to search for a new job anytime soon. Kenise is looking for a Full-time job. She would most likely be paid an hourly wage, by the project.

5 0

2 years ago

Read 2 more answers

Prajna is listing squares of two-digit numbers in such a way that the digit in their units place is 6.

dem82 [27]

Answer:

2 (option B)

Question:

Prajna is listing squares of two-digit numbers in such a way that the digit in their units place is 6.

How many numbers should he have listed?

a) 9 b) 2 c)18 d) 20

Step-by-step explanation:

We would find the perfect squares that are two digit numbers

For two digit perfect squares:

Largest two digit number= 81 = 9²

Smallest two digit number= 16 = 4²

Total Two digit number perfect squares = Highest number - lowest number + 1

= 9-4+1 = 6

There are 6 two digit perfect squares

Next, we have to find how many of them have 6 in their units place.

The rule to be applied: If a number has 4 or 6 in the unit place, then its square has 6 in the units place.

Following this, the possibilities are 4², 6².

We have two of such numbers.

Therefore, he would have listed 2 numbers.

6 0

2 years ago