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Viktor [21]
3 years ago
5

Paula spent 3/8 of her allowance on clothes and 1/6 on entertainment what fraction of her allowance did she spend on other items

Mathematics
1 answer:
djyliett [7]3 years ago
8 0
All you'd have to do is find a common denominator, which would be 24 (because both 8 and 6 go into it). So you'd multiply both 3 and 8 by 3 to get 9/24, and both 1 and 6 by 4 to get 4/24. Then you add 9/24 to 4/24 to get 13/24. Then you just get the left over fraction, which is 7/24. That's the allowance she spent on other items. I hope this helps!
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Heather has 32 homework problems to complete by tomorrow. She completed 19 of them at school. Use the equation 19 + b = 32 to fi
miskamm [114]

Answer:

13 problems

Step-by-step explanation:

We have the equation, so all we must do is solve.

19+b=32

Subtract 19 on both sides

b=13

She must finish 13 problems at home

Hope this helps!

4 0
4 years ago
Pentagon CRAFT has coordinates c(-2,1) r(-5,2) a(-6,7) f(-3,9) and t(-1,6) and is dilated by a scale factor of 2/3 at the origin
Vsevolod [243]

Answer:

First, we need to know the formula when a scale factor appears:

New coordinate =  (scale factor)*(old coordinate)

So using this formula we have:

1) c' = (-2,1)*2/3  

  c' = (-4/3,2/3)

2) r = (-5,2)*2/3

   r = (-10/3,4/3)

3) a = (-6,7)*2/3

   a = (-4,14/3)

4) f = (-3,9)*2/3

   f = (-2,6)

5) t = (-1,6)*2/3

   t = (-2/3,4)

7 0
3 years ago
The quality control department at Alexander Fasteners measured the length of 100 bolts randomly selected from a specified order.
erma4kov [3.2K]

Answer:

a) P [Z < 5.79]  =  7.49 %

b) P [ Z > 7.46 ] = 82.38 %

c) P [ Z > 6.65 ]  = 91.68 %

Step-by-step explanation:

Normal Distribution

Population Mean     μ₀  = 6.8 cm

Standard Deviation  of population    σ = 0,7 cm

a) P [ Z < 5.79 ]  =  ??

z value ?

z = ( 5,79 - 6,8 ) / 0,7    ⇒   z = - 1.01 / 0,7  ⇒   z = - 1.442

From z table we get:

z =  - 1.442       ⇒   P [Z < 5.79]  =  0.0749     or

P [Z < 5.79]  =  7.49 %

b)  P [ Z > 7.46 ]

z =  ( 7.46 - 6,8 ) / 0,7    ⇒  z = 0.66 / 0.7   ⇒ z = 0.942

From z table

P [ Z > 7.46 ] = 0.8238    or     P [ Z > 7.46 ] = 82.38 %

c) P [ Z > 6.65]  

z  = ( 6.65 - 6.8 ) / 0.7       ⇒   z  = - 0,15 / 0.7     ⇒ z = - 0.214

From table we get area between 6.65 and the mean, therefore we have to add  ( 0.5 ) half of total area

Then from z table  

z = - 0,214         ⇒   0,4168

Then P [ Z > 6.65 ]  = 0,4168 + 0.5

P [ Z > 6.65 ]  = 0.9168    or

P [ Z > 6.65 ]  = 91.68 %

P [ Z > 6,65 ] = 0,5 +

5 0
4 years ago
Please answer &amp; answer quickly please
nadezda [96]

Answer:

-8p ≥ -56

=> p ≤ 7

Step-by-step explanation:

6 0
3 years ago
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tekilochka [14]

4x + 9 - (10/(3x)) I favored the x^2 then expanded and simplified each rational term

6 0
4 years ago
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