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2 years ago

There are 1,000 grams in 1 kilogram. Nate is mailing a package that has a mass of 8,000 grams.

1 answer:

5 0

Nate's package is 8 kilograms. This is because, if there are 1,000 grams in 1 kilogram, 8,000/ 1,000= 8 Therefore, the mass of his package is 8 kilograms.

Have a Merry Christmas!

You might be interested in

Which expressions are equivalent to 4 to the 5 power choose all that apply

Nuetrik [128]

Answer:

since you didn't put the answer choices, this is what I know...

4 to the 5 power is 1024

it can be written as:

4x4x4x4x4 or 4^5

Step-by-step explanation:

7 0

2 years ago

3. Rewrite -2x + 3y = 6 in slope intercept form.

zaharov [31]

The equation in slope-intercept form is:

$y=\frac{2}{3}x+2$

Further explanation:

The standard slope-intercept form is:

$y=mx+b$

Given equation is:

$-2x+3y=6$

In order to bring the equation in slope-intercept form we have to isolate y on left hand side of equation

So,

Adding 2x on both sides

$-2x+3y+2x=6+2x\\3y=2x+6$

Dividing both sides by 3

$\frac{3y}{3}=\frac{2x+6}{3}\\y=\frac{2x+6}{3}$

Simplifying

$y=\frac{2x+6}{3}\\y = \frac{2x}{3}+\frac{6}{3}\\y=\frac{2}{3}x+2$

The equation in slope-intercept form is:

$y=\frac{2}{3}x+2$

Keywords: Slope-intercept form, linear equation

Learn more about slope-intercept form at:

#learnwithBrainly

4 0

2 years ago

leonhard wants to place a triangular-based cabinet in the corner of his rectangle-shaped living room. the triangular base has a

Georgia [21]

The answer is $x = \frac{-7+ \sqrt{193} }{4}$ .

There is very similar question on Brainly, in which dimensions of the living room are given (20 feet, 30 feet).
So, knowing this, we first need to calculate how much 6% of the living room is.
The area of the living room is 600 square feet, since it is rectangle-shaped:
P = a * b = 200 feet * 30 feet = 600 square feet.

6% of 600 square feet is 36 square feet:
600 square feet : 100% = A : 6%
A = 600 * 6 / 100 = 36 square feet

The area of the triangular-based cabinet (A) is $A = \frac{a*h}{2}$ , where a is the base, and h is the height of the triangle.
It is given:
A = 36
a = 2x + 3
h = 3x + 6

Now, let's implement this to the formula $A = \frac{a*h}{2}$ :
$36 = \frac{(2x+3)(3x+6)}{2}$
⇒ $36*2=6 x^{2} +12x+9x+18$
$72=6 x^{2} +21x+18$

Let's both sides divide by 3:
$24=2 x^{2} +7x+6$
⇒ $2 x^{2} +7x-18=0$

This is the quadratic formula ( $a x^{2} +bx+c=0$ ) for which
$x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}$ or
 $x = \frac{-b-\sqrt{b^{2} -4ac} }{2a}$ .
We will use only $x = \frac{-b+\sqrt{b^{2} -4ac} }{2a}$ , because the length cannot have negative value.

From the equation $2 x^{2} +7x-18=0$ , we know that
a = 2
b = 7
c = -18

Thus, $x = \frac{-7+ \sqrt{193} }{4}$ :
 $x= \frac{-b+ \sqrt{ b^{2} -4ac} }{2a} = \frac{-7+ \sqrt{ (7)^{2} -4*2*(-18)} }{2*2} = \frac{-7+ \sqrt{49+144} }{4} = \frac{-7+ \sqrt{193} }{4}$

4 0

3 years ago

If the triangle ABC=JKL and ACB=12,KL=6cm,and AC=8.5cm what is BC

Illusion [34]

BC is equal to KL so there for BC is 6 cm

5 0

2 years ago

12. Thomas walks his dog for 30 minutes today—15 more minutes than yesterday. Express as a

sasho [114]

Yesterday = 30 -15
yesterday = 15 minutes

Find the percentage
percentage = 30/15 × 100%
percentage = 2 × 100%
percentage = 200%

5 0

3 years ago