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g100num [7]
3 years ago
8

An isosceles trapezoid has a perimeter of 33 feet. Its shorter base measures 5 feet and its longer base measures 6 feet. The two

remaining sides have the same length; what is that length?
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
7 0

Answer:

The other two sides are both 11 ft long

Step-by-step explanation:

you would add 5 plus 6 which gives you 11

then, subract 33 from 11 which gives you 22

then divied 22 by two which will tell you that both sides of the triangle are 11 ft long.

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I think it would be easier to covert the fractions to decimals here

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A bag contains purple marbles and blue marbles, 41 in total. The number of purple marbles is 4 less than 2 times the number of b
Andreas93 [3]

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

1) We have purple (p) and blue (b) marbles in a bag, and 41 marbles total so:

p+b = 41

2) we want to know how many purple marbles we have, so let's rearrange for p:

p = 41 - b

3) Our problem gives us an expression for the purple marbles in terms of the blue,  let's write it using math symbols instead of words:

<em>"The number of purple marbles is 4 less than 2 times the number of blue marbles."</em>

so: p = 2b - 4

3) Now we're going to plug this in (or substitute it) for our p in our first equation, and solve for b

p = 41 - b

2b - 4 = 41 - b     (substitution)

2b = 45 - b         ( add 4 to both sides)

3b = 45               (add b to both sides)

b = 15                  (divide both sides by 3)

4, last step!)

Now we know we have 15 blue marbles, that's great! But we still want to know how many purple marbles we have.

41- 15 = 26 purple marbles

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Step-by-step explanation:

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