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Serggg [28]
3 years ago
8

PLS HELP WILL GIVE BRAINLEST AND THANKS!!!!!!!!!!!

Mathematics
2 answers:
Stels [109]3 years ago
8 0

Answer:  2 1/4 more flour for 9 servings

Step-by-step explanation: (a) how many total cups of flour are there per serving? show your work

1 1/2÷6= 3/2 x 1/6 = 3/12= 1/4 cups of flour per serving

(b) how many total cups of sugar (white and brown) are there per serving?show your work

3/4 + 1/3 = 9/12 + 4/12= 13/12= 1 1/12 total cups of sugar

13/12 ÷ 6/1 = 13/12 x1/6 = 13/72 per serving

(c) supposed you modify the recipe so that it makes 9 servings. How much more flour do you need for the modified recipe than you need for the original recipe?Show your work/

1/4 x 9 = 9/4 = 2 1/4 more flour for 9 servings.

kenny6666 [7]3 years ago
6 0

Answer:

a) 0.25 cups of flour

(b) 0.18 cups of sugar

(c) 0.5 cups of flour

Step-by-step explanation:

The recipe requires 3 amounts of ingredients to make 6 servings. The following is needed:

1. 1 1/2 cups of flour

2. 3/4 cups of white sugar

3. 1/3 cups of brown suger

a) The total cups of flour per serving can be determined by dividing the flour needed for 6 servings by 6:

= 1.5/6=0.25

0.25 cups of flour is needed per serving

b) The total cups of brown and white sugar can be determined by divided both quantites by 6 servings.

For brown sugar = 0.75/6 = 0.125 cups of brown sugar

For white sugar = 0.333/6= 0.0555≈0.055 cups of white sugar

Total amount of sugar = brown sugar + white sugar = 0.125+0.055=0.18 cups of sugar

c) If we can make 9 servings we can determine the the percentage of more servings and the amount of flour for the modified recipe.

The percentage change of recipes = ((9-6)/9)*100=33.33%

Therefore the new amount of flour needed is:

1.5x0.3333+1.2=0.2

Therefore we need 2-1.5=0.5 cups more flour than the original recipe

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Write an explicit formula for an, the nth term of the sequence 112, -28, 7, ....
MA_775_DIABLO [31]

Answer:

a_n=112\left(-\frac{1}{4}\right)^{n-1}

Step-by-step explanation:

<u>Geometric Sequences</u>

There are two basic types of sequences: arithmetic and geometric. The arithmetic sequences can be recognized because each term is found as the previous term plus a fixed number called the common difference.

In the geometric sequences, each term is found by multiplying (or dividing) the previous term by a fixed number, called the common ratio.

We are given the sequence:

112, -28, 7, ...

It's easy to find out this is a geometric sequence because the signs of the terms are alternating. If it was an arithmetic sequence, the third term should be negative like the second term.

Let's find the common ratio by dividing each term by the previous term:

\displaystyle r=\frac{-28}{112}=-\frac{1}{4}

Testing with the third term:

\displaystyle -28*-\frac{1}{4}=7

Now we're sure it's a geometric sequence with r=-1/4, we use the general equation for the nth term:

a_n=a_1*r^{n-1}

a_n=112\left(-\frac{1}{4}\right)^{n-1}

6 0
3 years ago
Area of a triangle 36 ft. By 41 1/2 ft.?
ziro4ka [17]
A=1/2bh A=1/2(36)(41.5) A=747 square feet
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Use the given values of n and p to find the minimum usual value μ - 2σ and the maximum usual value μ + 2σ.
mart [117]

Answer:

\mu -2\sigma = 915.428 - 2* 22.87=869.69

\mu +2\sigma = 915.428 + 2* 22.87=961.17

And the best option would be:

4. Minimum: 869.69; maximum: 961.17

Step-by-step explanation:

We can assume that the variable of interst X is distributed with a binomial distribution and we can use the normal approximation.

For this case the mean would be given by:

E(X) = np = 2136 *(\frac{3}{7})= 915.428

And the standard deviation would be:

\sigma = \sqrt{2136*(\frac{3}{7}) (1-\frac{3}{7})} =22.87

And if we find the limits we got:

\mu -2\sigma = 915.428 - 2* 22.87=869.69

\mu +2\sigma = 915.428 + 2* 22.87=961.17

And the best option would be:

4. Minimum: 869.69; maximum: 961.17

5 0
3 years ago
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garri49 [273]

Answer:

In the top green thing goes X in the bottom one it goes Y

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Step-by-step explanation:

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Step-by-step explanation:

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