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Luda [366]
3 years ago
10

The perimeter of a rectangular mat is 16 feet. It is 6 feet long. How wide is it?

Mathematics
1 answer:
dezoksy [38]3 years ago
7 0

Answer:

2ft

Step-by-step explanation:

because perimeter of a rectangle formula is p=2(l+w)

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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
the ratio of white pens to green pens is 2 to 8. how many green pens are there if there are 18 white pens?
NISA [10]
There are 72 green pens.

There is 9 times as many white pens from 2 to 18, so there has to be 9 times as many green pens because of the ratio. 9 times 8 is 72.
5 0
3 years ago
alex has a 48 mile trail first half of the time he was biking twice as fast as the second half of the time if he spent 4 hours o
Irina-Kira [14]

Answer:

16 mph

Step-by-step explanation:

Givens:

4 hours total time

48 miles total distance

So our equation should look like this.

48 = 2x(2) + x(2)

Where x = speed second half of trip.

x = 8

x*2 = 16 mph

4 0
3 years ago
Please help I am confused will give brainly. Not sure how to find the measurements of 2, 3 and 4
antiseptic1488 [7]

Answer:

2: 99° 3: 81° 4: 81°

Step-by-step explanation:

2 is supplementary to 1 so subtract 81 from 180 = 99.

3 is vertical angle with 1 so they are equal

4 is alternate interior angle with 3 so they are equal

hope this helps stay safe :)

4 0
3 years ago
Read 2 more answers
Name a number that is an integer, but not whole number.
tekilochka [14]

Answer:

-1

Step-by-step explanation:

All negative integers are not whole numbers

4 0
3 years ago
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