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3 years ago

Estimate 11.14+9.543 by first rounding each number to the nearest tenth. HELP PLSZZ

1 answer:

6 0

To round each number to the nearest tenth, we have to look at the second digit after the decimal point, the hundredths. We look at tenths to round whole numbers, hundredths to round tenths, thousandths to round hundredths, etc. If the digit is 4 or below, then we would round down. If the digit is 5 or up, we would round up.

11.14

The digit is below 5, so we round down to 11.1.

9.543

The digit is also below 5, so we round down to 9.5.

Henceforth, adding these two numbers, we can conclude that an accurate estimation of the sum is 11.1 + 9.5, or 20.6.

If we wanted to round this answer further, we would use the same rounding rule. 20.6, where the tenths place digit, 6, is above 5, would be rounded up to 21.

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In a society there are 30 men and 20 women members.

krek1111 [17]

<h3>Answer: 2/5</h3>

This is because there are 20 women out of 50 people total (30+20 = 50).

So 20/50 = 2/5

This converts to the decimal form 0.4 and the percentage form 40%

3 0

3 years ago

Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the tabl

MakcuM [25]

The equation for the direct variation is y= kx (where k is contant of variation.)

This equation represent that if x will increase then y will also increase because it's k times x.

Where the equation for indirect variation is $y=\frac{1}{k} x$

By this equation if x will increase then y will decrease and vice versa.

The given data is :

x: 2 4 8 12

y: 4 2 1 2/3

Notice as x is increasing then y is decreasing. Like x has increased from 2 to 4 then y is decresing from 4 to 2 and so on.

So, the given data represent an indirect variation.

7 0

3 years ago

Which equation is a solution to (x-3)(x+9)=27?

Shtirlitz [24]

Answer:

x = ± $3\sqrt{7}$ - 3

Explanation:

I'm assuming you want the solutions to that equation, so here goes! (If not, please comment.)

(x-3)(x+9)=27

Let's FOIL this all out and expand. (Remember: First, Outer, Inner, Last.)

x^2 + 9x - 3x - 27

(first+ inner + outer + last)

x^2 + 9x - 3x - 27 = 27

Combine like terms, and add 27 to both sides.

x^2 + 6x - 27 + 27 = 27 + 27

x^2 + 6x = 54

Let's complete the square, because factoring doesn't work, and because it's good practice.

x^2 + 6x + ___ = 54 + ____

In the blank we will put b/2 ^2 = 6/2 ^2 = 3^2 = 9 to complete the square.

x^2 + 6x + 9 = 54 + 9

Now we've got a perfect square factor:

(x + 3)^2 = 63

sqrt(x+3)^2 = $\sqrt{63}$

x + 3 = ± $3\sqrt{7}$

x = ± $3\sqrt{7}$ - 3

7 0

3 years ago

Suppose the relationship between x and y is proportional. When x is 29, y is 275.5. Find the constant of proportionality of y t

ruslelena [56]

If it’s proportional, then when X is 1, y is 2.6, you get that by dividing 275.5 by 29

so when y is 408.5, x is 156.91

I believe that is correct.

3 0

3 years ago

Read 2 more answers

Show work please! I don't understand how to get this answer! I will give brainliest to the best answer!

Marina86 [1]

Answer:

(x,y,z) = (2,-2,1)

Step-by-step explanation:

Three equations with three variables are given. Take two equations at a time to eliminate one variable.

x + y - z = -1 .....(1)

4x -3y + 2z = 16 .....(2)

2x - 2y - 3z = 5 ......(3)

Solve (1) and (3) to eliminate z.

To do that multiply (1) by 2 and add (1) and (2). We get:

4x - 5z = 3 ......(4)

Now, solve (2) and (3) and subtract them. We get:

2x + 13z = 17 ......(5)

Solve (4) and (5). Multiply (5) by 2 and subtract. We get:

z = 1

Substituting z = 1, in (4) we get: x = 2.

Now to find y, substitute values of x and y in (1).

⇒ x + y - z = -1 ⇒ 2 + y - 1 = -1

⇒ y = -2

∴ Values of (x, y, z) = (2, -2, 1).

4 0

3 years ago