Some conveyor belts have two pulleys. If one pulley has a diameter of 45 cm and another has a diameter of 20 cm, what is the ratio of the smaller diameter to the largest diameter?

Answer: x + 5y - 15 = 0

Step-by-step explanation:

First, we find the slope

Given : x₁ = 2 y₁= 5 x₂= 3 y₂=0

m = y₂ - y₁ / x₂ - x₁

m = 0-5 / 3-2

m = -5 / 1 = -5

equation of a straight line;

y - y₁ = m (x - x₁)

y - 5 = -5(x - 2)

y - 5 = -5x + 10

y + 5x - 15 = 0

The answer is -116. I took the test

we know that

The simple interest formula is equal to

[tex]A=P(1+rt)[/tex]

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

[tex]t=?\ years\\ P=\$3,900\\ A=\$10,000\\r=0.0783[/tex]

substitute in the formula above

[tex]10,000=3,900(1+0.0783t)[/tex]

Solve for t

[tex]10,000/3,900=(1+0.0783t)[/tex]

[tex](10,000/3,900)-1=0.0783t[/tex]

[tex]0.0783t=1.5641[/tex]

[tex]t=1.5641/0.0783[/tex]

[tex]t=19.98\ years[/tex]

therefore

the answer is the option C

[tex]20\ years[/tex]

Answer:

Step-by-step explanation:

ee

Final answer:

The total length of the string before being cut was 319 cm. The bookstore, given the ratio of 6:5:9 for fiction books, textbooks, and workbooks, sold a total of 1650 fiction books and textbooks in a month.

Explanation:

Answer to String Ratio Problem

Let's represent the length of the longest piece of string as 5x, the medium piece as 4x, and the shortest piece as 2x, based on the given ratio 5:4:2. According to the problem, the longest piece is 87 cm longer than the shortest piece. Thus, we have:

5x - 2x = 87 cm

3x = 87 cm

x = 29 cm

Now, to find the total length of the string before cutting, we add up all the pieces:

Total length = 5x + 4x + 2x = 11x = 11(29 cm) = 319 cm

So, the string was 319 cm long before it was cut.

Answer to Bookstore Ratio Problem

In the bookstore problem, we're given the ratio of fiction books, textbooks, and workbooks sold as 6:5:9, respectively, and that 1350 workbooks were sold. If we denote the common ratio multiplier as y, we can represent the amounts of each as follows:

Fiction books = 6y, Textbooks = 5y, Workbooks = 9y = 1350

To find y, we solve 9y = 1350:

y = 150

Now, we can calculate the total number of fiction books and textbooks sold:

Fiction books = 6y = 6(150) = 900

Textbooks = 5y = 5(150) = 750

Total fiction books and textbooks = 900 + 750 = 1650

The bookstore sold a total of 1650 fiction books and textbooks.

A number less than five

OR

n minus five

We will call A and M the scores obtained by Alonzo and Miguel respectively​

A + M = 54 (Alonzo and Miguel scored a total of 54 points) Equation 1​

M = A + 4 (Miguel scored four more points than Alonzo) Equation 2​

We will substitute the value of M for the second equation in the first equation​.

A + A + 4 = 54​

2A = 54 - 4​

A = 50/2 = 25 points (Alonzo scored this.​)

M = A +4 = 25+4 = 29 points (Miguel scored this.​)

Answer : Alonzo scored 25 points and Miguel scored 29 points

Checking

A + M = 25 points + 29 points = 54 points Check !

Hope this helps!​​​​​​​

[tex]\textit{\textbf{Spymore}}[/tex]​​​​

The expression can be written in terms of p after making the subject as s the expression is s = p/6.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

p = 6s

To solve the above expression in terms of p make the subject as s

As we know, the arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

Divide by 6 on both sides:

p/6 = 6s/6

p/6 = s

Or

s = p/6

Thus, the expression can be written in terms of p after making the subject as s the expression is s = p/6.

Learn more about the expression here:

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 to get the numbers in step 3

multiply -1.6 by 3

then multiply -1.6 by 0.1

 and add them together

answer is D) (–1.6)(3) + (–1.6)(0.1)

Answer:

In Step 2 the expression is Option 4 is correct.                                    

Step-by-step explanation:

Given : Sydney applied the steps below to find the product of [tex](3.1)(-1.6)[/tex].

To find : Which expression correctly fills in the blank in Step 2?

Solution :

Step 1 : Commutative property applied, [tex]ab=ba[/tex]

[tex](3.1)(-1.6)=(-1.6)(3.1)[/tex]

Step 2 - Apply distributive property [tex]a(b+c)=ab+ac[/tex] by re-write 3.1=3+0.1

[tex](3.1)(-1.6)=(-1.6)(3+0.1)[/tex]

[tex](3.1)(-1.6)=(-1.6)(3)+(-1.6)(0.1)[/tex]

Step 3 - Solve the multiple,

[tex](3.1)(-1.6)=(-4.8)+(-0.16)[/tex]

Step 4 - Add the terms,

[tex](3.1)(-1.6)=-4.96[/tex]

Therefore, In Step 2 the expression is Option 4 is correct.

The eighth layer of the pyramid will have 280,896 cans.

To find the number of cans in the eighth layer of the pyramid, we need to observe the pattern in the number of rows and cans in each layer. The pattern is that each layer doubles the number of rows and the number of cans in each row. The eighth layer will have 2^7 (128) rows and 3^7 (2187) cans in each row. Therefore, there will be a total of 128 * 2187 = 280,896 cans in the eighth layer of the pyramid.

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This is True

answered false got it wrong

Answer:

true

Step-by-step explanation:

Answer:

The percent increase is [tex]\(10\%\).[/tex]

Explanation:

To find the percent increase, we use the formula:

[tex]\[\text{Percent Increase} = \left( \frac{22 - 20}{20} \right) \times 100\%\][/tex]

Given:

- Original price = $20

- New price = $22

Substitute these values into the formula:

[tex]\[\text{Percent Increase} = \left( \frac{22 - 20}{20} \right) \times 100\%\][/tex]

[tex]\[\text{Percent Increase} = \left( \frac{2}{20} \right) \times 100\%\][/tex]

[tex]\[\text{Percent Increase} = \left( 0.1 \right) \times 100\%\][/tex]

[tex]\[\text{Percent Increase} = 10\%\][/tex]

So, the percent increase is [tex]\(10\%\).[/tex]