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Vlada [557]
3 years ago
8

The Wilson family is planning an extended vacation in summer the map they are using has the scale 1 in. = 80 mi. How many inches

represent 2,160 miles?
Mathematics
1 answer:
atroni [7]3 years ago
3 0

Answer:

27 inches

Step-by-step explanation:

you divide 2160 by 80 to get the number of inches

2160/80=27

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a 9 pound bag of sugar is being split into containers that hold 2/3 of a pound. how many containers of sugar will the 9 pound ba
LUCKY_DIMON [66]
Namely, how many times does 2/3 go into 9?

well

\bf 9 \div \frac{2}{3}\implies \cfrac{9}{\frac{2}{3}}\implies \cfrac{\quad \frac{9}{1}\quad }{\frac{2}{3}}\implies \cfrac{9}{1}\cdot \cfrac{3}{2}\implies \cfrac{27}{2}
\\\\\\
\textit{2 goes \underline{13 times} into 27, with a \underline{remainder of 1}}\implies 13\frac{1}{2}
3 0
3 years ago
A 47-foot-long piece of pipe is to be cut into three pieces. The second piece is three times as long as the first piece, and the
DanielleElmas [232]
A = first piece, b = second piece, c = third piece

a + b + c = 47
b = 3a
c = 5a + 2

a + (3a) + (5a + 2) = 47.....combine like terms
9a + 2 = 47
9a = 47 - 2
9a = 45
a = 45/9
a = 5 ft

b = 3a.....b = 3(5)....b = 15 ft
c = 5a + 2....c = 5(5) + 2.....c = 25 + 2....c = 27 ft

longest piece (c) = 27 ft
7 0
3 years ago
What is the slope of the line through the points (0,-3) and (2,1)?
Ne4ueva [31]

Answer:

alright so you got 2 points! now this is the slope formula! y2-y1/x2-x1

okay let's label your points! (x1 0,y1 -3) (x2 2,y2 1)

let's follow the formula this makes it so we can solve! 1--3/2-0

I understand you may get a decimal but don't use 2.5 use a fraction because teachers seem to like fractions and general decimals can be hard to use (experience lol) 2.5 is 5/2 so this means your slope is 5/2

this formula works every single time and if you memorize it you can do any other problems with 2 points! please memorize y2-y1/x2-x1

6 0
3 years ago
The surface area of a pyramid is 327 square meters. what is the surface area of a similar pyramid that is smaller by a scale fac
N76 [4]

Answer:

\boxed{\text{144.33 m}^{2}}

Step-by-step explanation:

The scale factor (C) is the ratio of corresponding parts of the two pyramids.  

The ratio of the areas is the square of the scale factor.

\dfrac{A_{1}}{ A_{2}} = C^{2}\\\\\dfrac{\text{327 m}^{2}}{A_{2}} = \left (\dfrac{1}{\frac{2}{3}}\right)^{2}\\\\ \dfrac{\text{327 m}^{2}}{A_{2}}= \dfrac{9}{4}\\\\\text{1308 m}^{2}= 9A_{2}\\\\A_{2} = \text{145.33 m}^{2}\\\text{The surface area of the smaller pyramid is \boxed{\text{145.33 m}^{2}}}

4 0
4 years ago
Which of the following sets is closed under multiplication? {0, 1, 2, 4} {0, 1} {1, 2}
emmasim [6.3K]
It would be {0,1} :)
3 0
3 years ago
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