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3 years ago

Devon is buying 3 greeting cards that cost $0.97 each. How can rounding be used to estimate the total cost of the cards?

Mathematics

1 answer:

Elis [28]3 years ago

8 0

Answer:

Since each card is about $1, the total cost is approximately 3 × 1 = $3.

Step-by-step explanation:

So 3 x 1 = 3

1 > 0.97

0.97 x 3 ≈ 2.91 which if rounded to the nearest WHOLE number it would be approximately 3$

Hope this helps!

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Please Help! In which of the following intervals does the trigonometric inequality sec(x)

timofeeve [1]

Step-by-step explanation:

sec(x) = 1/cos(x)

cot(x) = cos(x)/sin(x)

sec is smaller than cot, if cos is negative (making sec negative) and sin is negative (making cot positive).

and that is true for the third quadrant.

which is pi < x < 3×pi/2

so, the third answer is right.

3 0

2 years ago

Which choice is equivalent to the expression below when y2 0? √y^2 + √16y^3 – 4y√y

DanielleElmas [232]

Answer:

Option C.

Step-by-step explanation:

We start with the expression:

$\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y}$

where y > 0. (this allow us to have y inside a square root, so we don't mess with complex numbers)

We want to find the equivalent expression to this one.

Here, we can do the next two simplifications:

$\sqrt{16*y^3} = \sqrt{16} \sqrt{y^3} = 4*\sqrt{y^3}$

And:

$y*\sqrt{y} = \sqrt{y^2} *\sqrt{y} = \sqrt{y^2*y} = \sqrt{y^3}$

If we apply these two to our initial expression, we can rewrite it as:

$\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y}$

$\sqrt{y^3} + 4*\sqrt{y^3} - 4\sqrt{y^3} = \sqrt{y^3}$

Here we can use the second simplification again, to rewrite:

$\sqrt{y^3} = y*\sqrt{y}$

So, concluding, we have:

$\sqrt{y^3} + \sqrt{16*y^3} - 4*y\sqrt{y} = y*\sqrt{y}$

Then the correct option is C.

8 0

3 years ago

No one helped so im asking for these 2 again

ipn [44]

Answer:

3. Option No. 2:

6x + 2y = 22

3x + 3y = 18

4. Option No. 2:

$2.50

Step by step explanation:

4. 6x + 2y = 22

(3x + 3y = 18) * 2

- Negate

6x + 2y = 22

6x + 6y = 36

2y - 6y = 22 - 36

-4y = -14

y = -14/-4

y = 3.5

An order of onion rings = $3.50

- Substitute to find for x

6x + 2(3.5) = 22

6x + 7 = 22

6x = 22 - 7

6x = 15

x = 15/6

x = 2.5

An order of French fries = $2.50

3 0

2 years ago

How to solve 5-2x=-4x-7

stepan [7]

Answer:

x=-6

Step-by-step explanation:

Use Substitution

so 5-2x=-4x-7

I'ma move that -4x to the other side by making it a positive

5+2x=-7

than I'ma move that 5 to the other side by making it a negative

2x=-12

to isolate the x you dived by both sides by the 2

x=-6

I doubled checked and it's -6

8 0

3 years ago

Read 2 more answers

What is the simplest form of

11111nata11111 [884]

Answer:

15 = -3c +12
-3n +8 = -7
5z -40 = 10
3.4s -35 = 50

Step-by-step explanation:

Usually, you're asked to "simplify" an equation, meaning that you eliminate parentheses and combine like terms. Asking for "simplest form" suggests something different. The simplest form is the form that has the variable equal to a constant--the solution, in other words.

We suspect you want the simplified form, but since you asked for the simplest form, that is here, too.

1. 15=-3(c-1)+9

15 = -3c +3 +9

15 = -3c +12 . . . . . simplified form of the given equation

-1 = c . . . . . . . . . . "simplest" form

2. 2(1.5n+4)-6n=-7

3n +8 -6n = -7

-3n +8 = -7 . . . . . . simplified form of the given equation

n = 5 . . . . . . . . . . . "simplest" form

3. 2(z-20)+3z=10

2z -40 +3z = 10

5z -40 = 10 . . . . . . simplified form of the given equation

z = 10 . . . . . . . . . . "simplest" form

4. 2/5s -2+3(s-11)=50

0.4s -2 +3s -33 = 50

3.4s -35 = 50 . . . . simplified form of the given equation

s = 25 . . . . . . . . . . "simplest" form

4 0

2 years ago