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ArbitrLikvidat [17]
3 years ago
7

What is 0.312 in expanded notation

Mathematics
1 answer:
Annette [7]3 years ago
4 0

Answer:

3 x 1/10 + 1 x 1/100 + 2 x 1/1000

or

.3 + .01 + .002

Step-by-step explanation:

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A jogging track has a length of 1144 yards yd. How long is this in miles mi? First fill in the blank on the left side of the equ
nikdorinn [45]

Answer:

length=0.65 mi

length in yr= 0.65x1760=1144

3 0
2 years ago
If 10 candy cost $35. How much candy can I buy with $20
Alika [10]

Answer:

6 candies

Step-by-step explanation:

(find unit rate, cost / quantity)

35/10 = 3.5

20/3.5 = = 5.7142857142857

candies cannot be in decimal so you must round to the nearest whole

8 0
2 years ago
A kite descends to the ground from a height of 32 feet. Use an integer to describe the descent.
nydimaria [60]
32-x=0; with x equaling the amount descended or -32.
8 0
3 years ago
PLEASE HELP! Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below he
EastWind [94]

Answer:

98 and 105

Step-by-step explanation:

4 0
3 years ago
You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and tw
VashaNatasha [74]

Answer: Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

Step-by-step explanation:

Let x= cost per pair of jeans

y = Cost per pair of shorts

z= cost per shirt.

For you, total cost = x+4y+2z= 84

For your friend,  total cost = 2x+y+3z=76

For cousin, total cost = x+2y+z= 52

Required system:

x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)

from (i), x=84-4y-2z    (*)

put this in (ii) and (iii) we get

2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)

from (iv), y=-\frac{z-92}{7}\ (vi)

\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)

-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8

\mathrm{Subsititute\:}z=8\text{ in (vi)}

y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12

\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}

x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20

Hence, x= 20, y= 12 , z=8

So, Cost per pair of jeans = $ 20

Cost per pair of shorts = $12

Cost per shirt = $8

7 0
3 years ago
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