Juan has a box that is filled with toys. The box is 3 1/2 feet long,6 feet wide ,and 3 feet high. What is the volume and surface area of a box.

Answer:

data displayed in a line graph represents change over time

Step-by-step explanation:

and example could be effects of different soil on the same kind of plant over a week

Answer:The scale factor is  \frac{1}{5}

Step-by-step explanation:

Choose a number from 101 to 110, we selected 106. To represent it with tens and ones, draw ten groups of ten for 'ten tens' which equals 100, and then draw 6 individual objects depicting 'and more' to visually show that 106 is 100 plus 6.

To choose a number from 101 to 110 and represent it as ten tens and more, let's select the number 106. The number 106 can be broken down into ten tens (which is 100) and an additional 6 to make up the full number.

A visual representation of this could be:

For the ten tens, you can draw ten groups of ten sticks or circles together, which would represent 100.

For the additional 6, draw six more sticks or circles away from the groups of tens.

So the drawing will show ten sets of ten objects, such as sticks or dots for the tens, and then six individual objects for the ones, clearly indicating that 106 consists of 100 (ten tens) plus 6 more.

Final answer:

Jerry used 2 lives to beat the 1st world, determined by dividing the 10 lives used for the 2nd world by 5.

Explanation:

Jerry used 10 lives to beat the 2nd world and it took him 5 times as many lives as it did to beat the 1st world. To find out how many lives it took him to beat the 1st world, we need to divide the number of lives used for the 2nd world by 5.

Let x represent the number of lives Jerry used to beat the 1st world. The equation based on the given information is:

5 * x = 10

Now, we solve for x:

x = 10 / 5

x = 2 lives

Therefore, Jerry used 2 lives to beat the 1st world.

There were 50 adult tickets and 20 children's tickets sold.

To determine the number of adult and children's concert tickets sold, we use a system of equations: x + y = 70 (total tickets) and 9x + 5y = 550 (total revenue). Solving these, we find 50 adult tickets and 20 children's tickets were sold.

To find the number of adult and children's concert tickets sold, given the total revenue and the price of each ticket, we can set up a system of linear equations. Let's define x as the number of adult tickets and y as the number of children's tickets. We are given that:

Now we have the following linear equations:

We can solve this system using either the substitution or elimination method. For simplicity, we'll use the elimination method.

Multiply the first equation by 5 to match the coefficient of y in the second equation:

Now subtract the new equation from the second equation given:

Using the value of x in the first equation, we find y:

Therefore, there were 50 adult tickets and 20 children's tickets sold.

Answer:

d=2(13)

Step-by-step explanation:

These expressions satisfy the criteria for being polynomials based on their structure and components.

[tex]\( 20x^2y \)[/tex]

[tex]\( 20x^2 \)[/tex]

[tex]\( 20x^2 + y \)[/tex]

Let's analyze each expression:

1. [tex]20x^2y[/tex]

This expression can be rewritten as [tex]\( 20x^2y \).[/tex]

It consists of variables [tex]\( x \)[/tex] and [tex]\( y \)[/tex], coefficients ([tex]20[/tex]), and exponents ([tex]2[/tex] on [tex]\( x \))[/tex]

It involves multiplication and addition (implied by the terms).

Conclusion: This expression is a polynomial.

2. [tex]20x^2[/tex]

This expression can be rewritten as [tex]\( 20x^2 \)[/tex].

It consists of variable [tex]\( x \)[/tex], coefficient ([tex]20[/tex]), and exponent ([tex]2[/tex]).

It involves multiplication and addition (implied by the term).

Conclusion: This expression is a polynomial.

3. [tex]20x^2+ y[/tex]

This expression consists of two terms: [tex]\( 20x^2 \)[/tex] and [tex]\( y \)[/tex]

[tex]\( 20x^2 \)[/tex] is a polynomial (as identified above).

[tex]\( y \)[/tex] is also a polynomial (since it can be seen as [tex]\( 1y^1 \)[/tex], where the coefficient is [tex]1[/tex] and the exponent is [tex]1[/tex]).

The expression involves addition and multiplication.

Conclusion: This expression is a polynomial.

4. [tex]20x^2+y^{12[/tex]

This expression is not standard notation and appears to be incorrectly formatted:

It lacks clear separation between terms.

It combines numeric digits directly without appropriate variables and exponents.

Conclusion: This expression is not a polynomial.

Final answer:

Dennis's other number, considering the conditions of only having 1 and 3 as common factors and 18 as the least common multiple with 9, is 6.

Explanation:

To solve the problem regarding Dennis's numbers, it's crucial to understand the conditions provided: the numbers only share common factors of 1 and 3, one of the numbers is 9, and their first common multiple is 18. To find the other number, knowing one of the numbers allows us to apply the rule of least common multiples (LCM). Since 9's factors are 1, 3, and 9, and the LCM with the other number is 18, this other number must be divisible by itself and 3 but not be a multiple of 9 to maintain the unique common factors condition. The only number that satisfies the condition in which 18 is the LCM and shares only 1 and 3 as common factors with 9, would be 6, since 18 is the smallest number that both 9 and 6 can divide into without other common multiples.

Final answer:

You can tell that the first digit of the quotient of 2,874 divided by 3 is in the hundreds place by using estimation and recognizing that 287 (the first three digits) is greater than 3 multiplied by 100, thus ensuring the quotient reaches the hundreds place.

Explanation:

To determine if the first digit of the quotient of 2,874 divided by 3 is in the hundreds place before actually dividing, we can use an estimation technique. Estimation helps us to predict the placement of the quotient's digits without doing the full calculation. For the divisor 3 to produce a number in the hundreds place, it must be able to go into the first three digits of the dividend (here, 2,874).

We look at the thousands and hundreds places of the dividend. Since the number 2,874 has a 2 in the thousands place, we know 3 cannot be divided into 2 to give us a number in the hundreds place. But when we include the next digit in the hundreds place, we have 287, which is greater than 3 imes 100. Therefore, we can say that 3 will go into 287 at least 100 times, making the first digit of the quotient in the hundreds place.

This estimation is further validated by the recognition that the number in the hundreds place of 2,874 (which is 8) is more than twice 3, and therefore, dividing it by 3 will definitely yield a number greater than 100 but less than 1,000.

The rectangular quilt has length 7 feet and width as 5 feet.

In order to find the perimeter, we have this formula:

[tex] P = 2(l+w) [/tex]

Plugging these values in the formula:

[tex] P = 2(7+5) [/tex]

Perimeter = 24 feet.

So 24 feet of lace are needed to cover the edges of the quilt.

The volume of the Jacksons' camping tent is 94.5 cubic feet. To calculate the volume, you multiply the dimensions: height (3.5 ft) by length (6 ft) by width (4.5 ft).

The formula for calculating the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.

The volume of the tent is determined by multiplying its length, width, and height. In this instance, the Jacksons' tent has a volume of 94.5 cubic feet, providing ample space for their camping needs. Understanding the volume of a three-dimensional object is essential for assessing its capacity and ensuring it meets the requirements of its intended use.

Complete Question:

The Jacksons went camping in a state park. One of the tents they took is shown, tent size in the attached picture 3.5 ft high, 6 ft long and 4.5 ft wide. What is the volume of the tent?