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3 years ago

A farmer divides his ranch into 10 equal squares. The side length of each square section is 20 m. Calculate the total

Mathematics

1 answer:

bazaltina [42]3 years ago

3 0

Area = (side)^2

Area = (20cm)^2

Area = 400cm^2 = the area of one square.

Let T = total area

T = 10(Area)

T = 10(400cm^2)

T = 4,000cm^2

Done.

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120 feet is the height of the lighthouse.

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Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct

Nana76 [90]

Answer:

$Fx=\frac{5\pm\sqrt{25+24} }{6}$

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

$ax^2+bx+c$

Where:

$a\neq 0$

The roots of this equation can be found using the quadratic formula, which is given by:

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$

So:

$y(x)=3x^2-5x-2=0$

As you can see, in this case:

$a=3\\b=-5\\c=-2$

Using the quadratic formula:

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}=\frac{-(-5)\pm\sqrt{(-5)^2-4(3)(-2)} }{2(3)}=\frac{5\pm\sqrt{25+24} }{6}$

Therefore, the answer is:

$Fx=\frac{5\pm\sqrt{25+24} }{6}$

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3 years ago

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each

Firdavs [7]

Answer:

Number of small boxes shipped = 10

Number of large boxes shipped = 12

Step-by-step explanation:

Let x be the number of small boxes

and

y be the number of large boxes

According to the first statement, a total of 22 boxes were shipped

Equation 1 will be:

x+y=22

And

According to 2nd statement, Total weight was 1350 and we know the weight of one small box is 45 and large box is 75

So equation 2 will be:

45x+75y=1350

We will use the substitution method for solving the equation

So from equation 1

$x+y=22\\x=22-y$

Putting the value of x in eqn 2

$45x+75y=1350\\45(22-y)+75y=1350\\990-45y+75y=1350\\-45y+75y=1350-990\\30y=360\\\frac{30y}{30}=\frac{360}{30}\\y=12$

Putting the value of y in eqn 1

$x+y=22\\x+12=22\\x=22-12\\x=10$

So,

Number of small boxes shipped = 10

Number of large boxes shipped = 12 ..

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3 years ago

A total of 432 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student t

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Answer:

144

Step-by-step explanation:

Adult tickets comprised 1/3 of the total, so 432/3 = 144 tickets.

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