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myrzilka [38]
2 years ago
8

Helen puts 50 marbles into 9 jars. First, she puts in the greatest

Mathematics
1 answer:
adelina 88 [10]2 years ago
6 0

Answer:

She needs 4 more marbles for the 9th jar.

Step-by-step explanation:

Multiples of 8:

M = {0, 8, 16, 24, 32, 40, 48, 56, ...}

First, she puts in the greatest possible number of marbles into each of the 1st 8 jars.

The total is the greatest multiple of 8 below 50, which is 48.

In each jar:

48/8 = 6

The remaining marbles are then put into the 9th jar.

50 - 48 = 2 in the 9th jar.

How many more marbles does she need for the 9th jar such that every jar has the same number of marbles?​

All others have 6, the 9th has 2.

6 - 2 = 4

She needs 4 more marbles for the 9th jar.

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Find the x-intercept of the line 3x - 9y = 15.
erastovalidia [21]

Answer:

The x-intercept is 5.

Some people prefer you right it as a point (5,0).

Step-by-step explanation:

The x-intercept can be found by setting y=0 and solving for x.

Just like to find the y-intercept you can set x=0 and solve for y.

Let's find the x-intercept.

So we will set y=0 and solve for x:

3x-9y=15

3x-9(0)=15

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4 0
3 years ago
A 96-ft high transmission tower casts a 72-ft long shadow. An anchor wire runs from the top of the tower to the tip of the shado
galben [10]
See attached picture and check solution below.
We are given with the following values:
A = length of transmission line = 96ft
B = length of shadow = 72 feet
C = distance of ladder to base of transmission line = 66 feet

Solve for angle created between the wire and tip of the shadow:
tan x = opposite/ adjacent
tan x = 96 feet / 72 feet
x = 53.13°

Solving for the height of the ladder:
tan x = Ladder length / (72-66)
tan 53.13° * (72-66) = ladder length
ladder length = 8 feet

The answer is letter "B" which is 8 feet.


 

5 0
3 years ago
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