6. A publisher requires 2⁄3 of a page of advertisements for every 5 pages in a magazine. If a magazine has 98 pages, to the nearest whole page, how many pages of the magazine are advertisements?

The dimensions of the garden, based on the given condition and the total perimeter of 132 meters, are determined to be 46 meters in length and 20 meters in width.

In order to find the dimensions of the garden, you have to solve two equations. The first equation comes from the definition of the perimeter of a rectangle, which is 2*length + 2*width = perimeter, so 2*length + 2*width = 132 meters. The second equation comes from the given information that the length is 6 meters longer than twice the width so length = 2*width + 6.

Now you can use substitution to solve these equations. Plug (2*width + 6) in for length in the perimeter equation and get: 2*(2*width + 6) + 2*width = 132. Simplifying this gives 4*width +12 + 2*width = 132, which further simplifies to 6*width + 12 = 132. Solving for width gives width = 20 meters.

Substituting width = 20 meters into the equation for length gives length = 2*20 + 6 = 46 meters. So the dimension of the garden is 46 meters by 20 meters.

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[tex]5\dfrac{42}{170}-3\dfrac{80}{170}=(5-3)+\left(\dfrac{42}{170}-\dfrac{80}{170}\right)\\\\=2+\left(-\dfrac{38}{170}\right)=2-\dfrac{32}{170}=1\dfrac{170}{170}-\dfrac{38}{170}\\\\=1\dfrac{170-38}{170}=1\dfrac{132}{170}=1\dfrac{132:2}{170:2}=1\dfrac{66}{85}[/tex]

[tex]5\dfrac{42}{170}-3\dfrac{80}{170}=4\dfrac{170+42}{170}-3\dfrac{80}{170}\\\\=(4-3)+\left(\dfrac{212}{170}-\dfrac{80}{170}\right)=1+\dfrac{212-80}{170}\\\\=1+\dfrac{132}{170}=1\dfrac{132:2}{170:2}=1\dfrac{66}{85}[/tex]

You can answer this question by writing and solving an equation to model the calculation of the total bill.

[tex]1.16x=98.19[/tex]

[tex]x=84.65[/tex]

$84.65

The tip Lana received corresponds to 16% of the bill total which amounts to about $15.71.

In this question, we are asked to calculate Lana's tip from her pizza delivery. As it's described that the tip was 16% of the total bill, we use the percentage formula to find out how much Lana got. The formula for finding a percentage of a number is Percent% x Total Amount.

To apply this formula here, we'll multiply the total bill amount ($98.19) by 0.16 (which represents the 16% tip as a decimal). This will give us Lana's tip. The calculation will look like this: $98.19 * 0.16 = $15.71. So Lana's tip for the pizza delivery was approximately $15.71.

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First you need to add the prices to get 85.55. Then 100 - 85.55 is 14.45.

She will have $14.45 leftover

h(x) = 3x + 5

h(a) = 27

We can write this as 3a + 5 = 27

Now, we just need to solve for a.

Subtract 5 from both sides

3a = 22

Divide 3 from both sides.

a = 7.33

Now, let's plug 7.33 back into the original equation.

3 * 7.33 + 5 = 27

22 + 5 = 27

27 = 27 √ this is correct

To find 'a' in the equation h(x)=3x+5 when h(a)=27, we substitute h(a) with 27 and solve for 'a'. After some simple algebra, we find that 'a' equals approximately 7.33.

This question is about solving algebraic equations. Here, we are given that h(x)= 3x+5 and h(a) =27. To find the value of 'a', we need to substitute 'h(a)' with 27 in the equation h(x)= 3x+5.

So, 27 = 3a + 5. To isolate 'a', we'll first subtract 5 from both sides of the equation: 27-5 = 3a, which simplifies to 22 = 3a.

Next, we divide both sides of equation by 3 to solve for 'a': 22/3 = a, hence a = 22/3 or approximately 7.33.

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Let n = the unknown number

"The product of a number and 4" = 4 * n = 4n

"increased by 16" = + 16

Set it all equal to - 2.

4n + 16 = - 2

Subtract 16 from both sides to get constants on one side and variables on the other.

4n = - 2 - 16

Combine like terms:

4n = - 18

Divide both sides by 4 to isolate variable n.

n = - 18 / 4

= - 4 and 2/4 = - 4 and 1/2

1/3=2/6

5/6-2/6= 3/6 or 1/2

He has 1/2  pound of more jelly beans than gummy bears.

☺☻♥Hope I helped!☻☺♥

Good Luck!♣

Steven has 1/2 lb. more of jelly beans than gummy bears.

1. The fractions need to have the same denomination (bottom number). The lowest common multiple of 3 and 6, is 6. So multiply 1/3 by 2 in order to get 2/6.

2. Now that the fractions have the same denominator, subtract 2/6 from 5/6 to get 3/6.

3. Simplify the fraction so it's in simplest from. 3/6 is the same as 1/2.

Answer: 3

Step-by-step explanation: Here we're asked to determine the opposite of the following integer which is -3.

Think of the opposite of an integer in terms of a number line. The opposite of an integer is the same distance from zero as the original integer but on the opposite side of 0.

Since -3 is 3 units to the left of 0,

its opposite will be 3 units to the right of 0.

So the opposite of -3 is 3.

I have also shown my work on a number line on the whiteboard.

The opposite of the given integer -3 is 3. Therefore, option D is the correct answer.

The given integer is -3.

Here, -3 is negative integer.

Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.

The opposite of -3 is 3. This is because when two numbers have opposite signs, they add up to zero. For example, -3 + 3 = 0.

Therefore, option D is the correct answer.

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I will use x for days. The equation is y=0.7x+9

0.7 is the growth per day * the days it has been growing.

+9 is the initial height

y is total height.

y=0.7x+9

The equation that matches the information provided is:

In this equation, we have two variables: s represents the number of small tables, and t represents the number of large tables.

The equation states that the number of small tables (s) is equal to two times the number of large tables (t). In other words, for every large table, there are two small tables.

For example, if there are 3 large tables (t = 3), then according to the equation, there would be 2 times 3 small tables, which is 6 small tables (s = 6).

This equation captures the relationship between the number of small tables and large tables in the conference room, where the number of small tables is always double the number of large tables.

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Answer is "C" 30 sq cm

Ana is located farther from the cave entrance than Chuyen. She is at -30 feet below the entrance, while Chuyen is at -12 feet, and the absolute value of Ana's depth is greater.

The comparison of depths below the cave entrance for Ana and Chuyen is essentially a basic math problem involving negative numbers. In this case, we are looking at distances relative to a reference point, which is the entrance of the cave.

Ana's location is -30 feet below the cave entrance, while Chuyen's location is -12 feet below the cave entrance. To determine which girl is located farther from the cave entrance, we need to compare the absolute value of these numbers because depths below ground are considered negative.

Because Ana's absolute depth is greater than Chuyen's, Ana is located farther from the cave entrance.

Answer:

2

Step-by-step explanation:

To calculate the value of the given rational expression (2x + 6) / (4x - 8), it is a good idea to simplify it first.

To simplify this expression, we can take the common out of both, the numerator and the denominator, as shown:

From the term 2x + 6, we can take out 2 as the common and from 4x-8, we can take 4 as common so the terms will become;

2 (x + 3) / 4 (x - 2)

2 from the numerator and 4 from the denominator will get cancelled and we will get x+3 / 2(x-2)

so we will solve for x-2 = 0 to get x = 2 which is the excluded value.

Answer:

Step-by-step explanation:

The second 1 is eight hundred and ninedey seven then it’s 899+90+70

Using the Division Property of Equality you need to divide.

How to get answer:

Reduce the expression by cancelling the common factors.

Factor 3 out of 3y^6.

Cancel the common factor.

Rewrite the expression.

Reduce the expression by cancelling the common factors.

−1⋅14

Last step: Multiply −1 by 14.

Answer: −14

I believe it is “C”

given that

c = 15h + 245

when h = 30.35  , cost c = (15 × 30.35) + 245

= 453.75 + 245 = 698.75

so cost if painter works = 698.75 unit of currency.

To find the total cost for a painter working 30.25 hours using the function rule c= 15h + 245, multiply the hourly rate (15) by the hours worked (30.25) and add the fixed cost (245). The total cost would be $698.75.

To calculate the total cost c a painter charges to paint a house given the function rule c= 15h + 245, where h is the number of hours worked, we need to substitute the value of h with the given number of hours. In this case, the painter works for 30.25 hours. Therefore, the cost calculation would be:

c = 15 × 30.25 + 245

Step 1: Multiply the hourly rate by the total hours worked:

15 × 30.25 = 453.75

Step 2: Add the fixed cost to the result from step 1:

c = 453.75 + 245

Step 3: Combine the values to get the total cost:

c = 698.75

So, if the painter works for 30.25 hours, the total cost to paint the house would be $698.75.

It would be positive. The minus sign makes the negative a positive and adds the two. Just remember keep, change, change.

They will need 11 yards of rope

In order to find the common prime factors of 130 and 165, let us first find prime factors of 130 and 165 individually and then we can compare.

Prime factors of 130 can be found as:

130 is a composite number because it has factors other than 1 and itself.

It is not a prime number. The 8 factors of 130 are 1, 2, 5, 10, 13, 26, 65, and 130. The factor pairs of 130 are 1 x 130, 2 x 65, 5 x 26, and 10 x 13.

The proper factors of 130 are 1, 2, 5, 10, 13, 26, and 65.

The prime factors of 130 are 2, 5, and 13.

Prime factors of 165 can be found as:

165 is a composite number because it has factors other than 1 and itself. It is not a prime number.

The 8 factors of 165 are 1, 3, 5, 11, 15, 33, 55, and 165. The factor pairs of 165 are 1 x 165, 3 x 55, 5 x 33, and 11 x 15.

The proper factors of 165 are 1, 3, 5, 11, 15, 33, and 55.

The prime factors of 165 are 3, 5, and 11.

Answer: On comparing the two, we can see that 5 is the common prime factor of both 130 and 165.

All these given roots are contained in option C.

The given equation is :

[tex]9x^{3}+9x^{2}-4x-4=0[/tex]

[tex]9x^{2}(x+1)-4(x+1)=0[/tex]

[tex](9x^{2}-4)(x+1)=0[/tex]

[tex]9x^{2}-4=0,x+1=0[/tex]

[tex]x^{2}=\frac{4}{9},x=-1[/tex]

[tex]x=\frac{2}{3},x=-1[/tex]

Roots = [tex]-1,\frac{-2}{3} ,\frac{2}{3}[/tex]

Hence these lie in between [tex](\frac{-3}{2} ,\frac{3}{2})[/tex]

Answer:

Step-by-step explanation: