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Lyrx [107]
2 years ago
3

Five pounds of candy that is 20% chocolate is combined with a candy that is 40% chocolate. How many pounds of the candy that is

40% chocolate should be used to get a candy that is 25% chocolate?
Mathematics
1 answer:
NISA [10]2 years ago
6 0

Answer:

5/3 pounds

Step-by-step explanation:

Five pounds of candy that is 20% chocolate is combined with a candy that is 40% chocolate

Let x be the pounds of candy that is added with 40% of chocolate

5 pounds that is 20%. 20% = 0.2

x pounds that is 40%. 40% = 0.4

mixture is x+5 pounds that is 25%. 25%= 0.25

0.2(5)+0.4x=0.25(x+5)

1+0.4x=0.25x+1.25

Subtract .25x from both sides

1+0.15x=+1.25

Subtract 1 from both sides

0.15x=0.25

divide both sides byu 0.15

x=5/3 pounds

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wariber [46]
Because the ratio of yellow to blue can be expressed as 5/3, you would solve the equation 5/3= 2/x. To solve, you would get x alone by cross multiplying and getting 5x=6. Divide both sides by 5 and get 6/5 or 1 and 1/5 cans of blue paint
5 0
2 years ago
A child who is trick-or-treating chooses a lollipop at random from a bowl of lollipops with mean weight 1.5 oz and standard devi
son4ous [18]

Answer:

The expected combined weight of the child's lollipop and two chocolate bars is 5.5 oz.

Step-by-step explanation:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Addition of normal variables:

The mean is the sum of the means.

Find the expected combined weight of the child's lollipop and two chocolate bars.

Child lollipop: Mean 1.5 oz

Chocolate bars: Mean 2 oz

One lollipop and 2 bars combined

The mean will be 1.5 + 2*2 = 5.5 oz

The expected combined weight of the child's lollipop and two chocolate bars is 5.5 oz.

3 0
2 years ago
The table shows some of the values of a function of the form y=ax^2+bx+c which is the value of c, the constant, the constant for
cupoosta [38]

Answer:

c=8

Step-by-step explanation:

Given: y=ax^2+bx+c

To find: c

Solution:

At x=4,y=48:

48=16a+4b+c    (i)

At x=5,y=73:

73=25a+5b+c    (ii)

At x=6,y=104:

104=36a+6b+c   (iii)

On subtracting (i) and (ii),

25=9a+b   (iv)

On subtracting (i) and (iii),

56=20a+2b\\\\28=10a+b    \,\,\,\,(v)

On subtracting (iv) and (v),

a=3

Put a=3 in (iv)

25=9(3)+b\\25=27+b\\25-27=b\\-2=b

Put a=3,b=-2 in (iii)

104=36(3)+6(-2)+c\\104=108-12+c\\104=96+c\\104-96=c\\8=c

5 0
2 years ago
642 x 12=642 tens + 1,284 ones true or false
Mashcka [7]

642 x 12

642*10 + 642*2

642 tens +1284 *1

true

8 0
2 years ago
Which of the following best describes the figure?
stira [4]

Answer:

a convex nonagon

Step-by-step explanation:


8 0
2 years ago
Read 2 more answers
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