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2 years ago

mateo has 6.5 cups of sugar. how many batches of cookies can he make if each batch requires 3/4 cups of sugar?

2 answers:

8 0

To do this, you would divide the amount of sugar he has by the amount needed for each batch.
to do this, you take 6.5 cups (amount of sugar) and multiply it by the reciprocal of 3/4. (the amount each batch requires)
6.5•4/3≈8.66
since he can’t make a fraction of a batch, mateo can make 6 batches of cookies.

Kitty [74]2 years ago

3 0

Answer:

Step-by-step explanation:

Hope that helps

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The proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is

$P( X > 72) =0.0015233$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 64 \ inches$

The standard deviation is $\sigma = 2.7 \ inches$

Generally 6 feet is equivalent to 6 * 12 = 72 inches

Generally the proportion of all young adult women in the United States are taller than 6 feet(72 inches ) is mathematically represented as

$P( X > 72) = P(\frac{X - \mu }{\sigma } > \frac{72 - 64 }{ 2.7 } )$

$\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )$

$P( X > 72) = P(Z > 2.963 )$

From the z-table

The area under the normal curve to the right corresponding to 2.963 is

$P(Z > 2.963 ) = 0.0015233$

=> $P( X > 72) =0.0015233$

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2 years ago

Jake needs to put gas in the delivery van regular gasoline is 3.20 per gallon he only had a $20 bill on him how many gallons can

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Your max amount for this is $20. Let's say x represents the number of gallons.

20 ≥ 3.2x
x = 6.25 gallons
If they're asking for integers or whole numbers, you'd round down to 6 because you only have enough money for 6 full gallons. If you rounded up to 7, you wouldn't be able to fill it up completely because then you'd be over your $20.00 budget for gas.

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CL ≈ AE and HG≈ZR and ∠L≈∠E as both triangles are isosceles so CL=HL and AE=EZ
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