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Agata [3.3K]
2 years ago
5

A 34-inch piece of wood is 2.4% of a longer piece of wood. How long is the longer piece of wood? Show your work. You can use pro

portions
Mathematics
1 answer:
riadik2000 [5.3K]2 years ago
8 0
Think of this as a proportion: 2.4 is to 100, as 34 is to L ("L" for "Long piece.")

Cross multiply to get 2.4 L = 3400, then divide both sides by 2.4 to be left with

L = 3400/2.4, so

L = 1416.666...

So the longer piece of wood is 1,416.66... inches long.

Hope this helps!!:)
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the rectangle shown has a perimeter of 56 cm and the given area. it's length is 8 more than three times it's width. write and so
stiv31 [10]

\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

Assume width of rectangle be " x ", length = 3×width + 8 = 3x + 8 ~

Now, Perimeter of rectangle is :

\qquad \sf  \dashrightarrow \:2(l + w)  = 56

\qquad \sf  \dashrightarrow \:2(3x + 8 + x)  = 56

\qquad \sf  \dashrightarrow \:2(4x + 8)  = 56

\qquad \sf  \dashrightarrow \:4x + 8  = 56 \div 2

\qquad \sf  \dashrightarrow \:4x + 8  = 28

\qquad \sf  \dashrightarrow \:4x  = 28 - 8

\qquad \sf  \dashrightarrow \:x = 20\div 4

\qquad \sf  \dashrightarrow \:x =5 \: cm

Hence, width = x = 5 cm

\qquad \sf  \dashrightarrow \:l = 3w + 8

\qquad \sf  \dashrightarrow \:l = 3(5)+ 8

\qquad \sf  \dashrightarrow \:l = 15+ 8

\qquad \sf  \dashrightarrow \:l =23 \:cm

And, length = 26 cm

4 0
2 years ago
Consider the graph of the function f(x) = e^x
Aliun [14]

Answer:

The y intercept is positive 1 because that's where the graph crosses the y axis.

5 0
3 years ago
Read 2 more answers
Ok look person that keeps answering Im sorry hut I gues u can tell why Im literally fai-ling math, question is: add the polynomi
Naddik [55]

Answer:

21a^4+4a^2+2a

Step-by-step explanation:

i think this is right..lol

hope it helps :)

have a nice day!!

7 0
3 years ago
Can i get help on this one ? im almost running our of points i would give 50 but i need more ;-; anyway
JulsSmile [24]

Answer:

Step-by-step explanation:

Let x = third side

Using the Triangle Inequality theorem which states that the sum of two sides of a triangle must be longer than the third side and the difference of the two sides is the lower limit of the third side, the answer to your question is that the third side must be between 3 and 13, or written using inequalities, 3 < third side (or x) < 13 is the range.

4 0
3 years ago
Maria and Katy each have a piece of string. When they put the two pieces of string together end to end, the total length is 84in
Serga [27]

Answer: the length of Maria's piece of string is 45 inches.

the length of Katy's piece of string is 39 inches

Step-by-step explanation:

Let x represent the length of Maria's piece of string.

Let y represent the length of Katy's piece of string.

When they put the two pieces of string together end to end, the total length is 84inches. This means that

x + y = 84 - - - - - - - - - - - -1

Maria's string is 6 inches longer than Katy's. This means that

x = y + 6

Substituting x = y + 6 into equation 1, it becomes

y + 6 + y = 84

2y + 6 = 84

2y = 84 - 6 = 78

y = 78/2 = 39

x = y + 6 = 39 + 6

x = 45

8 0
3 years ago
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