One section of wood is 3 5/8 meters long. Another section is twice that long . when the two pieces are put together, how long is the piece of wood that is created?

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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Answer:

Step-by-step explanation:

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To find out how much sugar is in each muffin, calculate the total grams of sugar in 3/4 cup and then divide that by the number of muffins (six). This will provide the amount of sugar in each muffin, which can be expressed in grams per muffin.

To determine how much sugar is in each muffin when 3/4 cup of sugar is needed to make six muffins, we simply divide the total amount of sugar by the number of muffins. First, we can find out how many grams of sugar are in 3/4 cup of sugar given that there are 200 grams in a full cup. So, we calculate .75 cups of sugar X 200 grams/cup to get the total grams of sugar in 3/4 cup.

Once we have the total grams of sugar for six muffins, we divide that amount by 6 to find out how much sugar is in each muffin. Mathematically, we can set up the following equivalency ratio for a formal solution: 3/4 cups sugar / 6 muffins = sugar per muffin. This will give us the amount of sugar in each individual muffin.

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]​​​​

Answer:

b. The domain is all real numbers less than or equal to 81; and The range is not all real numbers because the square root symbol applied to a non-negative number is non-negative.

Step-by-step explanation:

The square root function is not defined in the real number system for the square root of a negative number.

In order for the number under the radical sign to be positive, then the value of x must be all numbers less than or equal to 81.

The range cannot be negative numbers, since the square root of a positive number will give a positive answer.

This makes the correct choice b.

 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.

Given: y = (-3/2)x + 15,

Here the slope is -3/2 and the y-intercept is 15.

The y-intercept tells us how many spoonfuls of chips Tiffany has at the beginning of her baking spree. This count decreases with each muffin that she makes, by 1 1/2 spoonfuls.

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.

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]

This is True

answered false got it wrong

Answer:

true

Step-by-step explanation:

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

Answer:

1. - $ 175

2.  -$ 195

3. Rochelle has $ 20 more than Denae.

Step-by-step explanation:

1. Given,

Rochelle made three withdrawals of $25,

Again she wrote $ 100,

So, the total amount she withdraw = 3 × 25 + 100= 75 + 100 = $ 175,

Thus, the total change in balance in her account = -$175,

2. Denae deposited 5 dollars,

i.e. change in her balance = $ 5,

Then she wrote a $200 check,

i.e. change in her balance = -$200,

Thus, the total change in her account = 5 - 200 = -$ 195

3. ∵ -175 > -195

⇒ Rochelle withdrew less amount,

If both started with the same balance,

Then the amount in Rochelle's account is more than that of Denae's account.

Also, -175- (-195) = -175 + 195 = $ 20

i.e. Rochelle has $ 20 more than Denae.

The answer is -116. I took the test