the forth term of an arithmetic seaquence is 19 and the fifth term is 13 . what is the third term

Answer:

The answer is false for apex.

Answer:

Area of cross section is 104 [tex]\:inche^2[/tex]

Step-by-step explanation:

Given Dimensions of Rectangular prism are Length = 5 inches, Width = 12 inches and Height  = 8 inches.

The shape of the cross section that is perpendicular to the base and created by slicing  the prism through diagonals of top and bottom is Rectangle.

Length of rectangle = Length of diagonal of base & top = 13 inches

Width of Rectangle = Height of Prism = 8 inches

Area of Cross Sectional Rectangle = Length × Width

                                                          = 13 × 8

                                                          = 104 [tex]\:inche^2[/tex]

Therefore, Area of cross section is 104 [tex]\:inche^2[/tex]

Answer:

Step-by-step explanation:

Hello! So, you use 120 pieces of fabric. You could not use all 120 pieces, because you can not make a square. The most you could use to make a square is 100. That would be 10 squares a row, with a side length of 6, which would make a perimeter of 60. Then, the other side would be 60. So 60 * 60 is 3600. The area of the blanket is 3600 square inches.

Hello!!

This is the correct answer.

Probability (Blue Marble) = 20%

Probability (Green Marble) = 50%

Probability (Red Marble) = ?

20% - 50% = 30%

The probability of picking a red marble from the bag is 30%.

Likely is defined as 50% so in this case, the probability of picking a red marble is not likely.

Hope this helps!!!!

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Answer:

Time passes until the second bus catches up with the first bus = 2 hours

Step-by-step explanation:

One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour.

Speed of Bus 1 = 40 miles per hour

Time of leaving of Bus 1 = 4:00 p.m

The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour.

Speed of Bus 2= 60 miles per hour

Time of leaving of Bus 2 = 5:00 p.m

We need to find when they catch up

That is the distance traveled by them are same,

Let the time of travel for bus 1 be t, so time of travel for bus 2 is t -1

We have

                      Distance = time x Speed

                   Distance traveled buy bus 1 = Distance traveled buy bus 2

                   40 x t = 60 x (t -1 )

                   40 t = 60 t - 60

                     20t = 60

                         t = 3 hours,

So after 3 hours of starting of bus 1 they catch up,

Time passes until the second bus catches up with the first bus = t- 1 = 2 hours

Time passes until the second bus catches up with the first bus = 2 hours

The second bus takes 2 hours to catch up with the first bus after closing a gap of 40 miles at a relative speed of 20 miles per hour.

Calculating the Time for the Second Bus to Catch Up

To determine how much time passes until the second bus catches up with the first bus, we need to calculate the distance that the first bus travels before the second starts and then use the relative speeds of the buses to find out when the second bus will have covered the same distance.

The first bus travels for one hour before the second starts, covering a distance of:

Distance = speed x time = 40 miles/hour x 1 hour = 40 miles.

When the second bus starts, it closes the gap at a relative speed, which is the difference in their speeds:

Relative speed = 60 miles/hour - 40 miles/hour = 20 miles/hour.

To find out how long the second bus takes to catch up, we use the formula:

Time = Distance / Relative speed = 40 miles / 20 miles/hour = 2 hours.

So, it will take the second bus 2 hours to catch up with the first bus.

Answer:

B)

Step-by-step explanation:

Hope this helped!

The number of pieces can Lisa cut from the rope is 12 and the rope will be 0.33 (or 1/3) feet remaining.

/ Division operation: In the arithmetic,  Divides left-hand operand by right-hand operand.

For example 44/4 = 11

Given that Lisa has a rope that measures 9 1/4 feet in length.

And she will cut the rope into pieces that are each 3/4 foot long.

We have to determine the number of full pieces can Lisa cut from her rope.

The length of the rope:

⇒ 9 1/4 = 9.25

The length of the pieces that are each foot:

⇒ 3/4 = 0.75

The number of pieces can Lisa cut from the rope

⇒ 9.25 / 0.75 = 12.33

She has need full pieces so the number of pieces would be 12.

Therefore, the rope will be 0.33 (or 1/3) feet remaining.

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The base-ten number for 'forty-two' is written simply as '42'. This is derived from the base-ten system (or the decimal system), where each digit represents a certain amount of tens.

The base-ten number for forty-two is simply written as 42. The base-ten system, also known as the decimal system, is called so because it uses 10 as its base. Each digit in a base-ten number represents a certain amount of tens. For example, the number 42 consists of 4 tens and 2 ones. This is derived from our counting system being based on increases of ten; each place in our numbering system is ten times greater than the place to the right of it. This originated from human beings having ten fingers which were used in counting.

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Answer:

Step-by-step explanation:

We have been given an equation in which y equals something. Whenever that is the case, it means that if we solve the other side, this case -5/4 - 2, we have solved for y.

-5/4 - 2 = -3 1/4 so.... y = -3 1/4

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The value of reminder will change when we place the decimal value improperly

importance of correctly placing the decimal point in the quotient of a division problem

Representation of numbers by using digits or other symbols in a consistent manner is called Number system.

When we place the decimal point in quotient improperly, the value of quotient will change, as the value of quotient changes the remainder will change and we will get the inappropriate answer of division. To ignore this we should place the decimal value properly to get the approximate answer

The value of reminder will change when we place the decimal value improperly . Therefore placing the decimal point in the quotient of a division problem is important,

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Answer:

What is the value of y when the value of x is 1?

Step-by-step explanation:

60!

x = level ground

y = hills

x/6 +y/4 +y/12 + x/6 = 2 hours

 multiply everything by 12 to get rid of the denominators:

 equation becomes 2x +3y +y +2x = 24

 combine like terms:

4x +4y = 24

 divide everything by 4

 f +h = 6 miles to Jon's house

Jon's house is 6 miles further away from Marlene's house.

Given that:

Speed on level ground is 6 mph

Speed on uphills is 4 mph

Speed on downhills is 12 mph

Let there are x miles level ground and y miles hills(either up or low, which while returning to home will serve as low or up respectively) in the route, then the whole route's length is x + y miles.

Since time taken = distance/speed , thus we have:

[tex]2 = \dfrac{x}{6} + \dfrac{y}{4} + \dfrac{x}{6} + \dfrac{y}{12}\\\\\text{Multiplying 12 on both sides}\\\\24 = 4x + 4y\\6 = x + y[/tex]

Since x + y denotes the length of the whole route(one sided), thus, Jon's house is 6 miles further away from Marlene's house.

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