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mote1985 [20]
3 years ago
5

Autumn collected 129 seashells at the beach. What is 129 rounded to the nearest ten ?

Mathematics
2 answers:
skad [1K]3 years ago
8 0
If you rounded off 129 to the nearest ten the answer would be 130
Black_prince [1.1K]3 years ago
4 0
To round this to the nearest ten, find the ten position and then look to the right, at the ones, if it is 5 or more than round or change the tens by +1 if not, the number remains as is, followed by zeros.

129 is estimated to 130, since 9 is greater than 5 and 2 goes up by 1.
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Find two positive integers such that the sum of the first number and four times the second number is 1000, and the product of th
vladimir2022 [97]

Answer:

The two numbers are:

x = 500

y = 125

Step-by-step explanation:

We want to find two numbers x and y, such that:

x + 4*y = 1000

f(x, y) = x*y is maximum.

From the first equation, we can isolate one of the variables to get

x = 1000 - 4y

now we can replace it in f(x, y):

x*y = (1000 - 4*y)*y  = 1000*y - 4*y^2

So now we want to maximize the function:

f(y) =- 4*y^2 + 1000*y

where y must be an integer.

Notice that this is a quadratic equation with a negative leading coefficient (so the arms of the graph will open downwards), thus, the maximum will be at the vertex.

Remember that for a general quadratic equation:

y = a*x^2 + bx + c

the x-value of the vertex is:

x = -b/(2*a)

so, in the case of:

f(y) =- 4*y^2 + 1000*y

the y-value of the vertex will be:

y = -1000/(2*-4) = 1000/8 = 125

So we found the value of y.

now we can use the equation:

x = 1000 - 4*y

x = 1000 - 4*125 = 1000 - 500 = 500

x = 500

Then the two numbers are:

x =500

y = 125

6 0
2 years ago
7x - 2 = 2y
ser-zykov [4K]
\left\{\begin{array}{ccc}7x-2=2y\\3x=2y-1\end{array}\right\\\\substitution:\\\\3x=7x-2-1\\3x-7x=-3\\-4x=-3\ \ \ /:(-4)\\x=\frac{3}{4}\\\\2y=7\cdot\frac{3}{4}-2=\frac{21}{4}-2=\frac{21}{4}-\frac{8}{4}=\frac{13}{4}\\2y=\frac{13}{4}\ \ \ \ /:2\\y=\frac{13}{8}\\\\Answer:x=\frac{3}{4};\ y=\frac{13}{8}.
6 0
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mojhsa [17]

The volume of a cylinder is V = \pi r^{2} h

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Thus the volume = \pi (17)^2*27=3.14*17^2*27=24501.42m^{3}

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