MATHEMATICS HIGH SCHOOL

A rectangle measures 14cm by 4cm what is the area

Answers

Answer 1

Answer:

Answer:

56 $cm^(2)$

Step-by-step explanation:

A rectangle measures 14 cm by 4 cm

Length of Rectangle= 14 cm

Breadth of Rectangle= 4 cm

Area of Rectangle= Length × Breadth

Area of rectangle= 14 cm× 4 cm

Hence,Area of rectangle = 56 $cm^(2)$

Hence, the correct answer is 56 $cm^(2)$

Answer 2

Answer: The answer is 56 so I am getting how many points?

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The quadratic equation (3k-2)x^2 +12x+3(k+1) =0 has equal roots. Find the two possible values of k.

Answers

$x_1=x_2 \Rightarrow \Delta=0\n\Delta=12^2-4\cdot(3k-2)\cdot3(k+1)\n\Delta=144-(36k-24)(k+1)\n\Delta=144-36k^2-36k+24k+24\n\Delta=-36k^2-12k+168\n-36k^2-12k+168=0\n-3k^2-k+14=0\n-3k^2+6k-7k+14=0\n-3k(k-2)-7(k-2)=0\n-(3k+7)(k-2)=0\nk=-(7)/(3) \vee k=2$

A veterinarian is interested in the average number of pets her clients own. Over the course of a month, she questions each client she meets with and records their responses. The veterinarian calculates the average and draws a conclusion from her data.What kind of statistical study did the veterinarian conduct?

A.
theoretical study
B.
survey
C.
experiment
D.
observational study

Answers

I’m pretty sure the answer is B. survey.

Answer:b

Step-by-step explanation:

Plato

A bus company charges a fixed amount plus a fee based on the distance traveled. The cost chart for the company is shown: Cost Chart Distance traveled (miles) (x) Cost (dollars) (y)
0 4
1 9
2 14
What is the fixed amount charged? $4 $5 $10 $12

Answers

The requried fixed amount charged by the bus company is $4. Option A is correct.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
To find the fixed amount charged, we need to look at the cost when the distance traveled is 0. From the given cost chart, we can see that when x = 0, y = 4.

Therefore, the fixed amount charged by the bus company is $4.

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Answer:

Step-by-step explanation:

Because with no distance traveled, the fixed amount charged would be $4. For every mile traveled, there is an additional $5. So your correct answer is $4.

There are 8 players in a chess tournament. after the tournament each player has to shake hands with e

Answers

There are 8 players in a chess tournament. After the tournament each player has to shake hands with every other player. Which number sentence below is the best way to show the number of handshakes?
Answer :
7+6+5+4+3+2+1= 28

How many 2.5 inch by 6 inch tiles will fit on a back splash that is 2.5 feet tall and 8 feet long?

Answers

Area of each of the tiles = (2.5 * 6) inches^2
   = 15 inches^2
Now we have to get down to the case of the backsplash
1 feet = 12 inches
Then
Length of the back splash = 8 feet
   = (8 * 12) inches
   = 96 inches
Height of the back splash = 2.5 feet
   = (2.5 * 12) inches
   = 30 inches
Then
Area of the back splash = ( 30 * 96) inches^2
   = 2880 inches^2
So
The number of tiles required to fit in the back splash = 2880/15
   = 192
So 192 tiles will be required to fit in the back splash. I hope the procedure is clear enough for you to understand.

Final answer:

Convert the back splash dimensions to inches. Calculate the areas of the back splash and a tile. Then divide the total area of the back splash by the tile area to get the number of tiles required, which is 192 tiles.

Explanation:

To determine the number of tiles needed, we first need to convert the dimensions of the back splash from feet to inches since the size of the tiles is given in inches. So, the back splash is 2.5 feet tall equal to 30 inches (because 1 foot = 12 inches and 2.5x12 = 30) and it is 8 feet long which is 96 inches (because 1 foot = 12 inches and 8x12 = 96).

Next, we calculate the area of the back splash by multiplying the length by the height which is 2880 square inches (30 inches x 96 inches = 2880).

Then, we find the area of a tile by multiplying the length and the width of the tile: 2.5 inch x 6 inch which equals 15 square inches.

Finally, we divide the total area of the back splash by the tile area to get the number of tiles required. So, 2880 square inches / 15 square inches equals 192 tiles.

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There are 240 students in a marching band. If the director wants the band to march in 40 equal rows, which equation could be used to find the number of students, s, in each row?

Answers

$(240)/(s) = 40$

$240 = 40s$

$6=s$

There will be six people in a row

Division 240/40=6 per row

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