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alexira [117]
3 years ago
13

There are red, blue, and white buttons in a box. The ratio of the

Mathematics
1 answer:
vampirchik [111]3 years ago
5 0

Answer:

680

Step-by-step explanation:

Ratio of red to white 4 : 7

Number of white = 280

White + red buttons = x

7x / 11 = 280

7x = 280 * 11

7x = 3080

x = 3080 / 7

x = 440

Number of red buttons 440 - 280 = 160

Number of red bottons ;

Blue + red buttons = x

3 : 2 ; blue : red

3 + 2 = 5 ;

2x / 5 = 160

2x = 160 * 5

2x = 800

x = 800 / 2

x = 400

Number of Blue buttons :

400 - 160 = 240

Total :

White + red + blue

280 + 160 + 240 = 680 buttons

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One hundred grams of radium are stored in a container. The amount RR (in grams) of radium present after tt years can be modeled
drek231 [11]

Answer:

6967 years

Step-by-step explanation:

Given the exponential function :

R=100e−0.00043t

Time = t in years

R = final amount

Number of years in which only 5 grams of radium will be present :

R = 5

Plugging into our formula :

5 = 100 * e^−0.00043t

5 / 100 = e^−0.00043t

0.05 = e^−0.00043t

Take the In of both sides

−2.995732 = - 0.00043t

t = −2.995732 / - 0.00043t

t = 6966.819

t = 6966.819 years

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8 0
3 years ago
A cedar board is 2 inches long and 8 feet long. You will need to cut down the length of the board into 1 1/3 inches long. How ma
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Answer:

You will be able to cut at least 6 pieces

Step-by-step explanation:

4 0
3 years ago
Henry has a bag containing 39 letter tiles, some consonants, and some vowels. He selects a tile without looking and then replace
adoni [48]

Answer:

21 consonant tiles

Step-by-step explanation:

Henry has a bag containing 39 letter tiles, some consonants, and some vowels.

He selects a tile without looking and then replaces it. If he pulls 7 consonant tiles and 6 vowel tiles, which is the most likely number of consonant tiles in Henry's bag?

Step 1

We add up the number of tiles that he pulls out of the bag

= 7 consonant tiles + 6 vowel tiles

= 13 tiles

Step 2

We divide the total number of tiles in the bag by the total number of tiles that was pulled out of the bag

= 39 tiles ÷ 13 tiles

= 3

Step 3

The most likely number of consonant tiles in Henry's bag is calculated as:

3 × The number of consonant tiles that was pulled out of the bag.

Hence:

3 × 7 consonant tiles

= 21 consonant tiles.

Therefore, the most likely number of consonant tiles in Henry's bag is 21 consonant tiles.

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Can someone explain to me in words how to do this problem 3x+122=22x-11
inn [45]

When you have this type of problem, you need to combine the like-terms and isolate the variable.

3x + 122 = 22x - 11

Add 11 to both sides to get rid of it

3x + 122 + 11 = 22x - 11 + 11     (-11 + 11=0)

3x + 133 = 22x

Then you would bring the 3x to the other side, so subtract 3x from both sides

3x + 133 = 22x

-3x             -3x

133 = 22x - 3x

133 = 19x

Then divide both sides by 19 to isolate x

133/19 = 19x/19

133/19 = 7, so x = 7

Hope this helps!!

8 0
3 years ago
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