A test was given to a group of students. The grades and gender are summarized below

Mathematics

1 answer:

Airida [17]3 years ago

7 0

Number of female students that got an A: 13
total number of female students: 38
13 divided by 38= 34%

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caleb wants to rent a kayak. Kayak rental cost 14.50 for a half hour.If caleb rents a kayak for one hour and forty-five minutes.

jolli1 [7]

50.75
you multiply 14.50 times 3.5
the reason why it is 3.5 is because there are two half hours in one hour, and another half hour plus 15 minutes ( which is half of a half hour)
i hope this is clear!!
good luck!!

6 0

4 years ago

Write the standard form of 2 (4x - 1)(2x + 5)

kobusy [5.1K]

Answer:

16x^2+36x-10

Step-by-step explanation:

2 (4x - 1)(2x + 5)

=2(8x^2-2x+20x-5)

=2(8x^2+18x-5)

=16x^2+36x-10

7 0

3 years ago

A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$

So, h = 40.2 inches

5 0

3 years ago

Stephon has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

alekssr [168]

Answer: The expressions for the length and width of the new patio are

$\ell=x+4,~~w=x-4.$

And the area of the new patio is 384 sq. feet.

Step-by-step explanation: Given that Stephen has a square brick patio. He wants to reduce the width by 4 feet and increase the length by 4 feet.

The length of one side of the square patio is represented by x.

We are to write the expressions for the length and width of the new patio and then to find the area of the new patio if the original patio measures 20 feet by 20 feet.

Since Stephen wants to reduce width of the patio by 4 feet, so the width of the new patio will be

$w=(x-4)~\textup{feet}.$