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Olegator [25]
3 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]3 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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A line is perpendicular to y = - x - 2 and intersects the point (-5, 10)
Lady_Fox [76]

Answer:

y = x + 15

Step-by-step explanation:

If two lines are perpendicular to each other, they have opposite slopes.

The first line is y = - x - 2. Its slope is -1. A line perpendicular to this will have a slope of 1.

Plug this value (1) into your standard point-slope equation of y = mx + b.

y = 1x + b or y = x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (-5, 10). Plug in the x and y values into the x and y of the standard equation.

10 = (-5) + b

Simplify.

10 = -5 + b

Now, add 5 to both sides to isolate b.

15 = b

Plug this into your standard equation.

y = x + 15

This equation is perpendicular to your given equation (y = -x - 2) and contains point (-5, 10)

Hope this helps!

6 0
3 years ago
Which value is the solution to the equation 42 ÷ j = 6?
mezya [45]

Answer:

j = 7hope that helps!

8 0
2 years ago
Which of the following mixed numbers has a value between 10/3 and11/3
Paraphin [41]

The answer would be A


6 0
3 years ago
Read 2 more answers
Question in the image below:
horrorfan [7]

Answer:

x = 5/33 or 0.151515151

Step-by-step explanation:

7(-6x-2) = 8(3x-4)

step 1: simplify the equation.

-42x - 14 = 24x - 4

step 2: isolate the variable (using the balance method).

-42x - 14 + 14 = 24x - 4 + 14

-42x = 24x + 10

-42x - 24x = 24x - 24x + 10

-66x = 10

step 3: solve for x.

x = 10 ÷ -66

x = 5/33

4 0
2 years ago
Use multiplication to write 2 + 2 + 2 +<br> 2+2.
Katena32 [7]
2 x 5
2+2+2+2+2= 10
2 x 5= 10
8 0
3 years ago
Read 2 more answers
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