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deff fn [24]
3 years ago
10

Use the diagram to answer the question.

Mathematics
1 answer:
Aloiza [94]3 years ago
5 0

Answer:

O lines and line t Intersect at Point P

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A stick 43 inches long is broken into two pieces, so that one piece is twice as long as the other. How long are the two pieces?
allsm [11]

Answer:

One piece is  \frac{43}{3} inches and another piece is \frac{86}{3} inches


Step-by-step explanation:

Let smaller piece length be s

Let larger piece length be  l


Since total of two pieces is 43, we can write:

s+l=43


Also, one piece is twice as long as the other (so longer piece is definitely twice as the short piece), we can write:

l=2s


<em>Substituting equation 2 into equation one, we can solve for s:</em>

s+l=43\\s+(2s)=43\\3s=43\\s=\frac{43}{3}

<em>Thus longer piece is:</em>

l=2s=2(\frac{43}{3})=\frac{86}{3}

3 0
3 years ago
Is 1/2 or 4/8 bigger???
PIT_PIT [208]

Answer: they are both the same fraction

3 0
3 years ago
Order these numbers from least to greatest. <img src="https://tex.z-dn.net/?f=6%20%5Cfrac%7B1%7D%7B11%7D%20" id="TexFormula1" ti
andrezito [222]

We shall first of all, convert all the numbers to the same base. This means we either;

Convert the fractions to decimals OR

Convert the decimals to fractions

Let us therefore convert the decimals to fractions.

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5 0
1 year ago
singh works at a restaurant where he is paid by the hour plus time and a half for his hours over 40. last week he worked four ho
padilas [110]

Answer:

$8.5 per hour

Step-by-step explanation:

Number of overtime hours = 4 hours

Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours

Total amount earned = $391

Let Hourly pay = x

Overtime pay = 1 1/2x = 3/2x

Therefore ;

40x + (4*3/2x) = 391

40x + 6x = 391

46x = 391

x = 391 / 46

x = 8.5

Hourly pay = $8.5 per hour

7 0
3 years ago
a map has a scale of 2in: 6mi. if a two twons on a map is 10 in apart then how far apart are the real twons
Brilliant_brown [7]

Answer:  30 miles

Work Shown:

2 in : 6 mi

5*2 in : 5*6 mi

10 in : 30 mi

7 0
2 years ago
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