Juliette made the jewelry box shown below.The jewelry bow was shaped like a right rectangular prism

Answer: [tex]6\times10^{11}[/tex]

Step-by-step explanation:

We know that the scientific notation is a technique to write a very large or a very small number in the product of a decimal form of  number [generally between 1 and 10]and powers of ten.

[tex]6\times10^{11}\\\text{ It is in scientific form}\\\\12\times10^{-8}\\\text{It is not in scientific form, since} 12 >9\\\\0.2\times10^5\\\text{It is not in scientific form, since }0.2<1\\\\8\times7^2\\\text{ It is not in scientific form, since power of 10 is not there}[/tex]

Hence, the number written in scientific notation is [tex]6\times10^{11}[/tex]

After the simplification of the  given radial expression [tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex] we get [tex]\frac{2}{y}[/tex].

A radical expression is defined as any expression containing a radical ([tex]\sqrt{}[/tex]) symbol.

The term underneath the radical symbol is called the radicand.

To solve a radical expression, simply take the the square root of the radicand.

According to the given question, we have a radical expression

[tex]\sqrt{\frac{64y^{10}h^{5} }{16y^{12} h^{5} } }[/tex]

=[tex]\sqrt{\frac{64}{16}(\frac{y^{10} }{y^{12} } )\frac{h^{5} }{h^{5} } }[/tex]                           ([tex]\frac{x^{m} }{x^{n} } =x^{m-n}[/tex])

= [tex]\sqrt{4(\frac{1}{y^{2} })(1) }[/tex]

= [tex]\sqrt{\frac{4}{y^{2} } }[/tex]

= [tex]\frac{2}{y}[/tex]

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She can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.

Deb possesses 3/4 of a brownie and intends to partition it into smaller portions, each equivalent to 1/8 of a brownie, allowing her to savor it throughout the day.

To determine the number of 1/8 portions she'll obtain, we can perform a simple division.

By dividing 3/4 by 1/8, we essentially multiply the numerator of 3/4 by the reciprocal of 1/8, which is 8/1.

This multiplication yields (3 * 8) / (4 * 1) = 24/4.

Simplifying further, we find that Deb will have 6 portions of 1/8 of a brownie.

Consequently, she can enjoy her original 3/4 brownie divided into six equal parts, each constituting 1/8 of the delectable treat.

for such more question on equivalent

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Question

Deb has 3/4 of a brownie. She wants to divide it up into 1/8 of a brownie so she can have it throughout the day. How many 1/8s will she have's will she have?

Answer:

27.1

Step-by-step explanation:

hope it helps!

Answer:

Step-by-step explanation:

Here we have to use the rate of depreciation, the initial value and the total time to find the final value with this formula

[tex]A=A_{0}(1-r)^{t}[/tex]

Where [tex]A[/tex] is the final value, [tex]A_{0}[/tex] is the initial value, [tex]r[/tex] is the rate of depreciation and [tex]t[/tex] is the time.

Replacing all values, we have

[tex]A=20300(1-0.0875)^{12}[/tex]

[tex]A=6765.35[/tex]

Therefore, after 12 years the car will value $6,765.35.

27/40 miles long was the bus ride.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

The store is 7⁄8 of a mile away from your house.

Distance covered by Walking = 1/5

and, the rest is covered by Bus.

So, the distance covered by Bus

= 7/8- 1/5

= 35/ 40- 8/40

= 27/40

Hence, 27/40 miles covered by Bus.

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General Idea:

When we are working with word problems, we need to follow the below steps:

Step 1: Assign variable for the unknown that we need to find.

Step 2: Write a meaningful mathematical equation using the sentence given

Step 3: Solve the equation by Performing reverse operation by Undoing whatever is done to the variable. Solving means find the value of the variable which will make the equation TRUE.

Applying the concept:

Step 1: Let x be the number of books that Brett can afford without spending more than his gift voucher amount.

Step 2: Writing mathematical equation based on the given sentence "Brett has a $30 online gift voucher. He plans to buy as many books as he can. The cost of each book is $4. There is also a single shipping charge of $2"

[tex] Online \; Gift \; Voucher=Number \; of \; books \; \times \; Cost\;per \; Book \; + \; Single \; shipping \; charge [/tex]

[tex] 30=4x+2 [/tex]

Step 3: Solving equation

[tex] 4x+2=30\\ Subtract \; 2 \; on \; both \; sides\\ \\ 4x+2-2=30-2\\ Combine \; like \; terms\\ \\ 4x=28\\ Divide \; 4 \; on \; both \; sides\\ \\ \frac{4x}{4}= \frac{28}{4} \\ Simplifying \; fraction \; on \; both \; sides\\ \\ x=7 [/tex]

Conclusion:

The number of books that Brett can afford without spending more than his gift voucher amount is 7 !!

Answer:

g3h

Step-by-step explanation:

I got it right

Answer:

Step-by-step explanation: Add pic so ppl can help

The solution set is (9, ∞).

To solve the inequality 3.3x-11.6>18.1, we need to isolate the variable x.

First, we can add 11.6 to both sides of the inequality to get 3.3x>29.7.

Then, we can divide both sides by 3.3 to solve for x: x>9.

We can express the solution set using interval notation as (9, ∞).

Therefore, The solution set is (9, ∞).

The solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9, meaning x is greater than 9.

To solve the inequality 3.3x - 11.6 > 18.1, you can follow these steps:

1. Add 11.6 to both sides to isolate the term with x:

3.3x - 11.6 + 11.6 > 18.1 + 11.6

3.3x > 29.7

2. Now, divide both sides by 3.3. Remember, when you divide by a positive number, the inequality sign remains the same:

[tex]\[ \frac{3.3x}{3.3} > \frac{29.7}{3.3} \][/tex]

[tex]\[ x > \frac{29.7}{3.3} \][/tex]

x > 9

So, the solution set for the inequality 3.3x - 11.6 > 18.1 is x > 9.

The ratios equivalent to 2:6 are: 9:3 and 7:21

The given ratio is [tex]\(2:6\)[/tex]. To find equivalent ratios, you can multiply or divide both parts of the ratio by the same non-zero number. Let's analyze the options:

1. 10:7

  To check if this is equivalent to 2:6, divide both parts by 2:

[tex]\[\frac{10}{2} : \frac{7}{2} = 5: \frac{7}{2}\][/tex]

  This is not equivalent.

2. 9:3

  To check if this is equivalent to 2:6, divide both parts by 3:

 [tex]\[\frac{9}{3} : \frac{3}{3} = 3: 1\][/tex]

  This is equivalent.

3. 7:21

  To check if this is equivalent to 2:6, divide both parts by 7:

 [tex]\[\frac{7}{7} : \frac{21}{7} = 1: 3\][/tex]

  This is equivalent.

Therefore, the ratios equivalent to 2:6 are:

2:6

9:3

7:21

Answer:

Its K ≥ 12

Step-by-step explanation:

Hope this helps! Have a good day!:) and happy St. Patrick's day lol