A cube-shaped box can be made from 486 square inches of cardboard. What is the volume of the box?

There are 21 more green crayons than blue crayons. There are 14 blue crayons. How many green crayons are there?

dimaraw [331]

Answer:

35 green crayons

Step-by-step explanation:

g is number of green crayons

b is number of blue crayons

g = b + 21

plug in 14 for b:

g = 14 + 21

g = 35

35 green crayons

3 0

3 years ago

Read 2 more answers

HELP PLEASE IM STRUGGLING

ser-zykov [4K]

Step-by-step explanation:

Both are very correct,

$5 { }^{ - 2} = \frac{1}{25} \: or \: \frac{1}{5 {}^{2} }$

because any number raised to the power of a negative

is given as

$a {}^{ - x} = \frac{1}{a {}^{x} }$

if this helped pls give brainliest

4 0

3 years ago

The difference of six times a number and 7 is -49

gtnhenbr [62]

Greetings!

"The difference of six times a number and 7 is -49"...

In number and variables, this would be:
 $6x-7=-49
$

Add 7 to both sides.
 $(6x-7)+7=(-49)+7$
Simplify.
 $6x=-42$
Divide both sides by 6.
$(6x)/6=(-42)/6$
Simplify.
$x=-7$

Hope this helps.
-Benjamin

5 0

4 years ago

A certain manufacturing company has the following data on quantities shipped and unit costs for each of its four products.

AnnyKZ [126]

Answer:

Paasche's Index= 168.63= 169

Step-by-step explanation:

Products

Base-Period Current Period

Quantities Mean Shipping Quantities Mean Shipping

(Year 1) Cost per Unit ($) (Year 5) Cost per Unit ($)

A 1,500 10.50 4000 15.90

B 5,000 16.25 3000 33.00

C 6,500 12.20 8000 18.40

D 2,500 20.00 3000 35.50

Paasche's Index= ∑ pn.qn/∑po.qn* 100

Where pn is the price of the current year and qn is the quantity of the current year and po. is the price of the base year and qo. is the quantity of the base year.

Paasche's Index is the percentage ratio of the aggregate of given period prices weighted by the quantities sold or consumed in the given period to the aggregate of the base period prices weighted by the given period quantities.

Multiplying the current year prices with the current year quantities and the base year price with the current year quantities we get.

Product pn.qn po.qn

A 15.90* 4000 10.50* 4000

= 63600 =42000

B 33.00*3000 16.25 * 3000

= 99000 = 48750

C 18.40* 8000 12.20 *8000

=147200 =97600

D 35.50* 3000 20.00*3000

=106500 60,000 

∑ 416300 248350

Paasche's Index= ∑ pn.qn/∑po.qn= 416300/ 248350 *100 = 1.676=1.68= 168.63= 169

7 0

3 years ago

What is the perimeter of parallelogram HIJK? Round to the nearest hundredth.

bixtya [17]

Answer:

Perimeter of the parallelogram = 26.64 units

Step-by-step explanation:

The perimeter of parallelogram = 2(a + b)

Here a = KJ = 7 units.

b = HK

We need to find the HK using the distance formula.

Distance formula = $\sqrt{(x2 - x1)^2 + (y2 - y1)^2}$

H = (-4, 3) and k = (-2, -3)

Now plug in x1 = -4, y1 =3, x2 = -2, y2 = -3 in the distance formula

HK = $\sqrt{(-2 -(-4))^2 + (-3 - 3)^2}$

= $\sqrt{(-2 +4)^2 + (-6)^2}$

= $\sqrt{4 + 36}$

= $\sqrt{40}$

HK = b = 6.32 units

Now plug in a = 7 and b = 6.32 in the perimeter formula, we get

Perimeter = 2(7 + 6.32)

= 2(13.32)

= 26.64 units

Thank you.

6 0

3 years ago