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Vsevolod [243]
3 years ago
11

A bag of marbles contains only purple and yellow marbles. The bag has three times as many yellow as purple, the bag contains 164

total marbles
HOW MANY PURPLE MARBLES DOES IT CONTAIN??
Mathematics
1 answer:
slega [8]3 years ago
3 0

Answer:

41 purple marbles

Step-by-step explanation:

x= amount of purple marbles

3x+x=164

4x=164

x=164/4=41

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if the sum of a number and nine is tripled the results is seven less than twice the number. find the number
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How much must be added to each of the three numbers 1, 11, and 23 so that together they form a geometric progression?
Sliva [168]

Answer:

49

Step-by-step explanation:

Let x be unknown number which should be added to numbers 1, 11, 23 to get geometric progression. Then numbers 1 + x, 11 + x, 23 + x are first three terms of geometric progression.

Hence,

b_1=1+x\\ \\b_2=11+x\\ \\b_3=23+x

and

b_2=b_1\cdot q\Rightarrow 11+x=(1+x)q\\ \\b_3=b_2\cdot q\Rightarrow 23+x=(11+x)q

Express q:

q=\dfrac{11+x}{1+x}=\dfrac{23+x}{11+x}

Solve this equation. Cross multiply:

(11+x)^2=(1+x)(23+x)\\ \\121+22x+x^2=23+x+23x+x^2\\ \\121+22x=23+24x\\ \\22x-24x=23-121\\ \\-2x=-98\\ \\2x=98\\ \\x=49

5 0
3 years ago
46 out of 200 dogs are short haired breeds. What percent of dogs are not short haired breeds
Ivahew [28]

Hi!

46 out of 200 are short haired, which means that 200 - 46 = 154 out of 200 are not short haired. In percentages, that is:

154/200 = 77/100 = 77%

Hope this helps!

8 0
3 years ago
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