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2 years ago

7

Olive has raised $3,428 to buy toothpaste to place in care packages. Each tube costs $2. Abut how many tubes of toothpaste can s

he buy? Choose the best estimate.
A. 3,000
B. 1,000
C. 2,700
D. 1,700

1 answer:

dybincka [34]2 years ago

5 0

Answer:

D

Step-by-step explanation:

a(Dividend)/b(Divisor)

3428/2

1714 = 1700(rounded)

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Hey how do you get from standard form to vertex form?

vlabodo [156]

Explanation:

Conversion of a quadratic equation from standard form to vertex form is done by completing the square method.

Assume the quadratic equation to be $\mathbf{ax^{2}+bx+c=0}$ where x is the variable.

Completing the square method is as follows:

send the constant term to other side of equal $\mathbf{ax^{2}+bx=-c}$
divide the whole equation be coefficient of $\mathbf{x^{2}}$ , this will give $\mathbf{x^{2}+\frac{b}{a}x=- \frac{c}{a}}$
add $\mathbf{(\frac{b}{2a})^{2}}$ to both side of equality $\mathbf{x^{2}+2\times\frac{b}{2a}x+\frac{b}{2a}^{2}=-\frac{c}{a}+\frac{b}{2a}^{2}}$
Make one fraction on the right side and compress the expression on the left side $\mathbf{(x+\frac{b}{2a})^{2}=\frac{b^{2}-4ac}{4a^{2}}}$
rearrange the terms will give the vertex form of standard quadratic equation $\mathbf{a(x+\frac{b}{2a})^{2}-\frac{b^{2}-4ac}{4a}=0}$

Follow the above procedure will give the vertex form.

(NOTE : you must know that $\mathbf{(x+a)^{2}=x^{2}+2ax+a^{2}}$ . Use this equation in transforming the equation from step 3 to step 4)

8 0

3 years ago

Your bill from Acme Supply Company is marked "3/15, net 30." The amount of the bill is $289.95. If you pay the bill within 15 da

Sonbull [250]

Answer:

$8,698.50

Step-by-step explanation:

289.95x30= $8,695.50

6 0

2 years ago

Completely simplify the expression 4x+10+6x+2x4x+10+6x+2x

oksian1 [2.3K]

<span>Simplifying 4x + 20 = 6x + -10 Reorder the terms: 20 + 4x = 6x + -10 Reorder the terms: 20 + 4x = -10 + 6x Solving 20 + 4x = -10 + 6x Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 20 + 4x + -6x = -10 + 6x + -6x Combine like terms: 4x + -6x = -2x 20 + -2x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 20 + -2x = -10 + 0 20 + -2x = -10 Add '-20' to each side of the equation. 20 + -20 + -2x = -10 + -20 Combine like terms: 20 + -20 = 0 0 + -2x = -10 + -20 -2x = -10 + -20 Combine like terms: -10 + -20 = -30 -2x = -30 Divide each side by '-2'. x = 15 Simplifying x = 15</span>

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3 years ago

Read 2 more answers

Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2 again

ohaa [14]

Answer:

A. 15

B. 25.6

C. 41.6

Step-by-step explanation:

You need to divide

6 0

2 years ago

Math expressions that equal 13

qaws [65]

Step-by-step explanation:

There can be a lot of math expressions that may equal 13. Here are some of the expressions that equal 13.

9 + 4 = 13

15 - 2 = 13

1 × 13 = 13

Now, let us consider some interesting expression

$x^3-x^2+x+7$

If the value of x = 2, then the expression will be equal to 13.

i.e.

$2^3-2^2+2+7=13$ ∵ when x = 2

Considering a word problem

<em>'Tom has 10 oranges while Tony has 3 more oranges than Tom. How many oranges Tony has?</em>

Let 'x' be the number of oranges Tom has.

The number of oranges Tony has = x + 3

as Tom has 10 oranges, so x = 10

Therefore, the number of oranges Tony has = x + 3

= 10 + 3 = 13

Therefore, the number of oranges Tony has = 13

7 0

3 years ago