You backpacked for a distance of 15.75 miles today. If you backpacked at an average speed of 1.26 miles per hour, how many hours did you spend backpacking today?

the width of a rectangular table is 7 feet and the length of a rectangular table is 42 feet.

The area of a rectangular table is 294 ft².

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Let the width of a rectangular table be x.

Then, six times as long as it is wide = 6x

Area of a rectangular table = 6x × x

⇒ 6x²=294

⇒ x²=49

⇒ x=7 feet

So, length=6x=42 feet

Therefore, the width of a rectangular table is 7 feet and the length of a rectangular table is 42 feet.

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Answer:

Inequality is m ≤ 1000

Step-by-step explanation:

Capacity of the pool to hold the maximum water is = 4500 gallons of water.

Pool is already having 1500 gallons of water so remaining volume of the pool that can be filled is = 4500 - 1500 = 3000 gallons

Marcus begins to add 30 gallons water per minute and it takes "m" minutes to  fill the remaining volume.

So amount of water required = 30m gallons

There is a condition that Marcus continues to add water without exceeding the maximum amount of water.

This means remaining amount "3m gallons" will be never cross the limit of "3000 gallons" of remaining volume of water.

Now we can form the inequality as 3m ≤ 3000

or m ≤ 1000

Therefore, answer is m ≤ 1000

Answer to this question is pie of 5

The number that produces an irrational number when added to 2/5 is 0.55....

A rational number is one that can be stated mathematically as the ratio or fraction p/q of two numbers, where p and q are the numerator and denominator, respectively.

To produce an irrational number when added to 2/5, the number must be irrational itself.

Therefore, options B, C, and D are eliminated since they are all rational numbers.

Option A, 0.555..., is a repeating decimal and can be expressed as a fraction of 5/9. When added to 2/5, we get:

2/5 + 5/9 = (18/45) + (25/45) = 43/45

Since 43/45 is not a rational number, the answer is A) 0.555...

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If we assume the total no. of people to be odd then the no. of handshakes

each person will have will be an even number.

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

Assuming the no. of total people to be 'n' and 'n' is an odd no.

Now if each person shakes hands with each other except their own hands each person will have (n - 1) no. of handshakes and (n - 1) or odd - 1 will always be an even no.

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The sum of handshakes is always even at a party as each handshake involves two people.

To show that the sum of handshakes is even:

Consider that each handshake involves two people, adding two handshakes to the total.

Since each person shakes hands with an odd number of people, the total sum of handshakes will be even.

Hence, the sum of the number of people a person has shaken hands with will always be even.

Answer:

Step-by-step explanation:

To calculate the percentage of each expenses we use this formula :

[tex]\frac{amountofbudgetitem}{Totalbudget}[/tex]  × 100

Household Budget Items             Amount ($)            Percentage

Donations                                       1,620                       12%

Taxes                                               1,620                       12%

Food                                                 3,510                       26%

Clothing                                           2,700                       20%

Housing                                           1,350                        10%

Transportation                                   675                         5%

Insurance                                           675                         5%

Savings                                              675                         5%

Recreation and

miscellaneous                                    675                        5%

Total Budget                                     13,500                    100%

Answer:

[tex]sin (70^{\circ})=cos (20^{\circ})[/tex]

Option C is correct.

Step-by-step explanation:

we have to choose the option for which the value is equals to sin(70°)

As in the first quadrant sine and cosine both are positive

[tex]\sin \theta = \cos (90-\theta)\\\\\sin (70^{\circ})= \cos (90-70)=\cos (20^{\circ})\\\\sin (70^{\circ})=cos (20^{\circ})[/tex]

hence, option C is correct.

Answer: The given figure does not have any line of symmetry.

Explanation:

Since, Given figure seems a parallelogram.

And, a line of a symmetry is an imaginary line through which we get two same figure or unchanged figure. Or, we can say that Line of symmetry makes a reflection of a figure in which the size or shape of the figure does not change.

In the case of parallelogram diagonals must be the line of symmetry. But  any diagonal in parallelogram does not make symmetry. Therefore, there is no line of symmetry in parallelogram.

Answer:

I think it is C

Step-by-step explanation:

Answer:

10 divided by 4 =10 over 4 is the correct answer guys if your doing think through math

Step-by-step explanation:

The two prisms are congruent means that they have the same measures of bases, height, faces and angles.

So, for congruent prisms, the corresponding angles are expected to be of the same sizes and the corresponding sides are expected to be of the same length.

Therefore the correct statements are:

The base areas are equal.

The prisms have the same height.

The lengths of corresponding edges are in a 1:1 ratio.

The volumes are equal.

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Correlation coefficient measures the relationship between two variables in a scatterplot. Its value ranges from -1.0 to 1.0. You can estimate it by observing the direction and the closeness of the data points to a line of best fit.

The correlation coefficient is a statistical measure that calculates the strength of the relationship between the relative movements of two variables. The values range between -1.0 and 1.0. A calculated number greater than 1.0 or less than -1.0 means that there was an error in the correlation measurement. A correlation of -1.0 shows a perfect negative correlation, while a correlation of 1.0 shows a perfect positive correlation. A correlation of 0.0 shows no linear relationship between the movement of the two variables.

To estimate the correlation coefficient from a scatterplot, observe the tightness of the points around a line of best fit and whether the points are mainly increasing or decreasing. For tight points increasing, it's close to 1. For tight points decreasing, it's close to -1. If there's no pattern, it's close to 0.

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Answer: 1:00 PM

Step-by-step explanation:

Josefina spent $65 in total, with $20 on earrings and $45 on three blouses at the cost of $15 each.

Calculating Total Cost

Josefina spent a certain amount of money on a pair of earrings and three blouses. The cost of the pair of earrings is separate from the blouses and is a fixed amount of $20. Each blouse costs $15, and she bought three blouses. Therefore, the total cost for the blouses is 3 times $15, which equals $45. To find the total amount Josefina spent, we need to add the cost of the earrings to the cost of the blouses.

Total spent on blouses = 3 * $15 = $45

Cost of the earrings = $20

Total amount spent = Cost of the earrings + Total spent on blouses

Total = $20 + $45 = $65

Therefore, Josefina spent a total of $65 on her purchase.

Hello!

I believe the answer is A) 1052.

I hope it helps!