I need help please people help me

On one side of the balance scale, Henry placed a 6-gram weight. On the other side of the scale, he placed a ballet slipper.

olchik [2.2K]

Answer:

A. 6,000 miligrams

Explanation:

A balance scale is balanced when the weights on both sides are equal. Then, since the image shows that both sides are equal, the weight of the 6-gram weight, placed by Henry on one side of the balance scale is equal to the weight of the ballet slipper placed on the other side.

Weight of the balance slipper = weight of the 6-gram weight

Weight of the balance slipper = 6 grams

Conversion of units:

6 grams × 1,000miligrams/1gram = 6,000 miligrams

Weight of the balance slipper = 6,000 miligrams

That is the option A.

7 0

3 years ago

What is the sum of the first 6 terms of this geometric sequence? –4, –16, –64, –256, …

MatroZZZ [7]

$a_1=-4;\ a_2=-16;\ a_3=-64;\ a_4=-256;\ ...\\\\r=\dfrac{a_{n+1}}{a_n}\to r=\dfrac{a_2}{a_1}\to r=\dfrac{-16}{-4}=4$

The formula of the sum of a geometric sequence:

$S_n=a_1\cdot\dfrac{1-r^n}{1-r}$

We have:

$a_1=-4;\ n=6;\ r=4$

substitute:

$S_6=-4\cdot\dfrac{1-4^6}{1-4}=-4\cdot\dfrac{1-4096}{-3}=-4\cdot\dfrac{-4095}{-3}=-4\cdot1365=-5460$

Answer: C. -5460

6 0

3 years ago

A group of 25 students want to see a drake concert. Tickets for members of drakes fan club cost $20 and tickets for no members c

Gwar [14]

If you would like to know how many of each type of ticket were sold, you can calculate this using the following two equations:

a ... the number of drakes fan club tickets
s ... the number of no members tickets

$550 = a * $20 + s * $25 ... 550 = 20 * a + 25 * s
a + s = 25 ... a = 25 - s
__________________
550 = 20 * a + 25 * s

550 = 20 * (25 - s) + 25 * s

550 = 20 * 25 - 20 * s + 25 * s

550 - 20 * 25 = 5 * s

550 - 500 = 5 * s /5

s = 50 / 5

s = 10 tickets

a = 25 - s = 25 - 10 = 15 tickets

Result: There were 15 drakes fan club and 10 no members tickets sold.

6 0

3 years ago

charissa ordered 3 cans of lemonade for each person at her party. She also ordered 1 pizza for every 4 people. If she ordered 6

krek1111 [17]

Answer:

72 cans

Step-by-step explanation:

step 1

Find the number of people

we know that

She ordered 1 pizza for every 4 people

using proportion

Find out the number of people for 6 pizzas

$\frac{1}{4}=\frac{6}{x}\\\\x=24\ people$

step 2

Find the number of cans ordered

we know that

Charissa ordered 3 cans of lemonade for each person

so

using proportion

Find out the number of cans of lemonade she ordered for 24 people

$\frac{3}{1}=\frac{x}{24}\\\\x=24(3)\\\\x=72\ cans$

7 0

2 years ago

On a map, 1/4 inch between locations represents an actual distance of 2 miles between the locations. What is the actual distance

Fittoniya [83]

Answer:

12/17 miles

Step-by-step explanation:

Make the denominators equal -> 1/4 = 17/68, 3/34 = 6/68

17/68 inches represent 2 miles

The ratio between 17/68 and 6/68 is 17/68 : 6/68 = 17/6
So, the ratio between the distance should also be 17/6

-> 3/34 inches represent 2 : 17/6 = 12/17 (miles)

Hope it helps :)

3 0

2 years ago