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klemol [59]
3 years ago
9

A recipe uses 1/4 cup of sugar for every 1/2 teaspoon of cinnamon . What is the unit rate in teaspoons per cup?

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
5 0

Answer:

Step-by-step explanation:

1/4 cup of sugar = 1/2 tea spoon. (1)

Multiplying both sides by 4, we have

1/4 * 4 cup of sugar = 1/2 * 4 tea spoon. (2)

1 cup of sugar = 2 tea spoon

( Required answer)

Vitek1552 [10]3 years ago
4 0

Answer:

Step-by-step explanation:

The "teaspoons per cup" ratio, written symbolically, is

t

--- teaspoons/cup

c

Here 1/2 teaspoon of cinnamon is associated with 1/4 cup of sugar.  Therefore we have the ratio:

  1/2 teaspoon cinnamon           1            4     teaspoon of cinnamon

--------------------------------------- =  -------- * -------- ------------------------------------

          1/4 cup sugar                     2           1         cup of sugar

This reduces to:

 2 teaspoons cinnamon

-------------------------------------

        1 cup sugar

and is the desired unit rate in teaspoons of cinnamon per cup of sugar.

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A textbook has 500 pages on which typographical errors could occur. Suppose that there are exactly 10 such errors randomly locat
DiKsa [7]

Answer:

The probability of a  selection of 50 pages will contain no errors  is  0.368

The probability that the selection of the random pages will contain at least two errors is 0.2644

Step-by-step explanation:

From the information given:

Let q represent the no of typographical errors.

Suppose that there are exactly 10 such errors randomly located on a textbook of 500 pages. Let \mu be the random variable that follows a Poisson distribution, then mean \mu = \dfrac{10}{500}= 0.02

and the mean that the random selection of 50 pages will contain no error is \lambda = 50 \times 0.02 =1

∴

Pr(q= 0) = \dfrac{e^{-1} (1)^0}{0!}

Pr(q =0) = 0.368

The probability of a  selection of 50 pages will contain no errors  is  0.368

The probability that 50 randomly page contains at least 2 errors is computed as follows:

P(X ≥ 2) = 1 - P( X < 2)

P(X ≥ 2) = 1 - [ P(X = 0) + P (X =1 )]    since it is less than 2

P(X \geq 2) = 1 - [ \dfrac{e^{-1} 1^0}{0!} +\dfrac{e^{-1} 1^1}{1!} ]

P(X \geq 2) = 1 - [0.3678 +0.3678]

P(X \geq 2) = 1 -0.7356

P(X ≥ 2) = 0.2644

The probability that the selection of the random pages will contain at least two errors is 0.2644

6 0
3 years ago
What is the result of this question ​
Helga [31]

Answer:

2x^2+x-3

The first number is 2x squared, then plus x, then minus 3.

3 0
4 years ago
What is the answer to sketch , draw and construct a segment congruent to RS?
ankoles [38]
In geometry, "construct" means do it with a straightedge (not a ruler) and compass.

Here's how you do it:

1. Using the straightedge, draw a line clearly longer than segment RS.

2. Place a dot at one end of the line you drew.

3. Stick the "center" of your compass in the R position of the RS segment.

4. Open the compass so the pencil point passes through the S position. Your compass now marks off segment RS.

5. Without opening or closing the compass, pick it up and stick the center into the dot you made on your new line.

6. Still without opening or closing the compass, make a hash mark that crosses your new line.

7. Place a dot where the hash mark crosses the line. The segment on the new line between the two dots is a segment congruent to RS.

Notice that you didn't use a ruler to measure anything. This is called a "construction" in geometry. It's what the ancient Greeks used to do.
4 0
4 years ago
Please help me
Nataly_w [17]

Jane is given a $100 gift to start and saves $35 a month from her allowance.

   After 1 month, Jane has saved

   After 2 months, Jane has saved

   After three months, Jane has saved

   and so on

In general, after x months Jane has saved

This means that it makes sense to represent the relationship between the amount saved and the number of months with one constant rate (in this case the constant rate is 35). It makes sense because the amount of money increases by $35 each month. Since the amount of increase is constant, we get constant rate. Also the initial amount is known ($100), so there is a possibility to write the equation of linear function representing this situation.

Step-by-step explanation:

5 0
3 years ago
Good morning helpppp new !!!
tangare [24]

Answer:

c= 17

Step-by-step explanation:

c² = a² + b²

c= ?

a = 8

b= 15

c² = (8)² + (15)²

c² = 64 + 225

c² = 289

\sqrt{c ^{2} }  =  \sqrt{289}  \\  \\ c = 17

3 0
3 years ago
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