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Olegator [25]
2 years ago
15

On a package of rice, the directions say that the ratio of cups of water to cups of uncooked rice should be 1: 1 2 . a. What is

the total number of cups of ingredients needed if you want to cook 1 2 cup of uncooked rice? ________________________________________ b. Susan says that the ratio of cups of water to total cups of ingredients is 1:2 because there is twice as much water as there is rice. Is this the correct ratio? Explain why or why not, and if not, give the correct ratio.
Mathematics
1 answer:
iragen [17]2 years ago
5 0
A) To cook 1/2 cup of rice, the package tells you that you also need 1 cup of water. The the total volume of ingredients is
.. 1/2 c + 1 c = 1 1/2 c


b) According to the package the ratio of water to rice is
.. water : rice = 1 : 1/2 = 2 : 1
Then the ratio of water to total ingredients is
.. water : (water + rice) = 2 : (2 +1) = 2 : 3

Susan's ratio is incorrect. Susan is using "1" for the total of ingredients, instead of 2+1 = 3. The correct ratio is 2:3.
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$5000 is invested at 3% interest. How much money must be invested at 5% interest so that the total interest from the two investm
SpyIntel [72]

5000x3/100=150

275-150=125

125x100/5=2500

7 0
2 years ago
Write an explicit formula for the arithmetic sequence 15.6, 15, 14.4, 13.8,..., and then find the 32nd term.
uysha [10]

Answer: the 32nd term is - 3

Step-by-step explanation:

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + d(n - 1)

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = 15.6

d = 15 - 15.6 = 14.4 - 15 = - 0.6

n = 32

The explicit formula for the arithmetic sequence is

Tn = 15.6 - 0.6(n - 1)

We want to determine the value of the 32nd term, T32. Therefore,

T32= 15.6 - 0.6 (32 - 1)

T32 = 15.6 - 18.6

T32 = - 3

5 0
3 years ago
HELP ASAP PLEASE
vampirchik [111]

Figure 1 was translated using the rule (x', y') ⇒ (x -9, y + 2) to produce figure 2.

<h3>What is transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are t<em>ranslation, reflection, rotation and dilation.</em>

Translation is the movement of a point either up, down, left or right on the coordinate plane.

Figure 1 was translated 9 units left and 2 units up using the rule (x', y') ⇒ (x -9, y + 2) to produce figure 2.

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

7 0
1 year ago
During two years, the population of birds of an island became 7 times more than before. If the first year increase in the popula
nordsb [41]

Answer:

The percent increase of the second year is 400%.

Step-by-step explanation:

Consider the provided information.

Let the population of birds was x.

After 2 years the population becomes 7 times more than before.

Therefore, after 2 years population is 7x.

In first year increase in the population was 40%.

Population after 1st year = x + 40% of x

Population after 1st year = x + 0.40x

Population after 1st year = 1.4x

The population increase from 1st year to 2nd year is: 7x-1.4x=5.6x

Thus the percentage increase is:

\% increase=\frac{5.6x}{1.4x}\times100=400\%

Hence, in second year the population of birds increase by 400%.

6 0
3 years ago
Please solve the exponential equation and show work. 15^3x-5=87
Nataly [62]
X=92/3375
This is the answer
8 0
2 years ago
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