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Viktor [21]
3 years ago
6

There are 4 pieces of paper, numbered 10 to 13, in a hat. After another numbered piece of paper is added, the probability of pic

king a number between 10 and 13 inclusive is 4/5. Which of the following numbers could
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
5 0

Answer: The fifth piece of paper could have any number 9 and less or 14 and greater.

Step-by-step explanation:  The list of choices is not given in the question, but it makes sense that the new number would not be a duplicate of any of the numbers 10, 11, 12, 13. Otherwise that would change the probability to 5/5.

So any other number could be a possibility.

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Adrian went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 350 mg of sodium and each f
Marizza181 [45]

Answer:

Adrian would have to purchase 9 cans and 3 frozen dinners.

step-by-step explanation:

Let us consider the sodium is denoted by a variable "s"

Let us consider the can is denoted by a variable "c"

Each can of soup containing the sodium = s = 350 mg  

Each frozen dinner containing the sodium = s = 700 mg  

The number of cans purchased by Adrian = c = 9 cans

The total amount of sodium = 5250 mg

Total amount of sodium purchased by Adrian

in 9 cans = 9 × 35  = 3150 mg

Subtracting 5250 mg by 3150 mg will give 2100 mg

So,   5250 mg - 3150 mg = 2100 mg

Dividing 2100 mg by 700 mg of sodium of frozen sodium will give the value 3.

So, Adrian would have to purchase 3 frozen dinner.

<u>Hence, Adrian would have to purchase 9 cans and 3 frozen dinners to collectively contain 5250 mg of sodium.</u><u> </u>

Verification:  

The total amount of sodium = 5250 mg

Total amount of sodium purchased by Adrian in 9

cans = 9 × 350 = 3150 mg

Total amount of sodium purchased by Adrian in 3 frozen dinners = 3 × 700 = 2100 mg

Total sodium = sodium purchased in cans + sodium purchased in frozen dinners

5250 = 3150 + 2100

5250 = 5250

L.HS = R.HS

Keywords: system of equation, word problem, variables

Learn more about system of equations from brainly.com/question/10477531

#learnwithBrainly

6 0
3 years ago
Ruben made 3.4 gallons of peach ice cream in his new ice cream maker. If there are 22.5 servings in a gallon, how many servings
WITCHER [35]

Answer:

Reuben made 76.5 servings of Peach ice cream

Step-by-step explanation:

Total gallons of peach ice cream made = 3.4 gallons

Number of servings per gallon = 22.5

This means that:

1 gallon = 22.5 servings

∴ 3.4 gallons = 22.5 × 3.4 = 76.5 servings

Therefore, Reuben made 76.5 servings of Peach ice cream

3 0
3 years ago
Expand (2 + a)9 using Pascal’s triangle.
Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

                                             1                                (A + B) ^ 0 = 1

                                         1       1                            (A +B ) ^ 1 = 1A + 1B

                                   1          2        1          (A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1          9       36    84    126    126    84    36    9    1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9

Hope you can learn the method

5 0
2 years ago
Pleas help me I’m terrible at algebra
lesya [120]

Answer:

-2x + 4y - 2z

Step-by-step explanation:

as you can see, the graph indicates which axis belongs to x, y, and z and also gives information on the positive and negative directions of each axis.

to get the answer, all you have to do is find each coordinate,

x is at -2, y is at +4, and z is at -2.

5 0
3 years ago
What is the rule for the reflection?<br> Pls help me
Luda [366]
I want to say B
This is filler to answer
6 0
2 years ago
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