One whole jar= 3/3 or 1
Set up a ratio comparing the two sets of measurements.
2 2/4 ounces of peanuts is to 2/3 of a jar as x ounces of peanuts is to 3/3 of a jar.
x= ounces in 1 whole jar
2 2/4 / 2/3= x / 3/3
cross multiply
(2 2/4 * 3/3)= (2/3 * x)
convert to improper fractions
10/4 * 3/3= 2/3x
multiply numerators; multiply denominators
(10*3)/(4*3)= 2/3x
30/12= 2/3x
divide both sides by 2/3
30/12 ÷ 2/3= x
to divide fractions, multiply by the reciprocal/inverse of 2/3
30/12 * 3/2= x
multiply numerators; multiply denominators
(30*3)/(12*2)= x
90/24= x
simplify by 6
15/4 or 3 3/4 ounces= x
ANSWER: 3 3/4 ounces can make a full jar.
Hope this helps! :)
It is not a <u>probability distribution</u>, as the sum of the probabilities is more than 1, thus, the correct option is No, considering that:
c) Since the sum of the probabilities is not equal to 1.
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For the sequence
representing a probability distribution, it is needed that:
- All probabilities are between 0 and 1, that is, for all values of x,
. - The sum of all probabilities is 1, that is:

In this problem, the sum of the probabilities is:

<u>Sum is not 1,</u> thus it is not a probability distribution, and the correct option is:
c) Since the sum of the probabilities is not equal to 1.
A similar problem is given at brainly.com/question/24858659
Answer:
The company can confirm that the pieces are similar by verifying that the relationship between the sides of the parts in the drawing created with MS Visio, of the diagram in a similar question found online, are;

Step-by-step explanation:
The definition of similarity is the quality of two or more objects having a common definitive property
Two objects in Euclidean geometry are similar if they are similar in shape and parameters of one shape can be obtained from the other by the application of a uniform scale and/or translation, reflection and rotation
The ABC toy maker could confirm that the pieces are similar by verifying that the corresponding sides of the two shapes have a common ratio
Answer:
Look below. The answers are bolded!
Step-by-step explanation:
1. <em>10x + 23</em>
5+6(2x+3)-2x
Distribute first!
5 + 12x + 18 -2x.
Now you can combine like terms.
23 + 10x
2. <em>18x + 6</em>
3(4x+8) + 3(2x-6)
Distribute first!
12x + 24 + 6x - 18
Now you can combine like terms.
18x + 6
3. <em>-2x + 8</em>
(32-8x)
____
___
4
Divide 32 and -8x by 4.
32/4 = 8
-8x/4 = -2x
-2x + 8
4. <em>4x + 3</em>
24x+18
______
6
Divide 24x and 18 by 6
24x/6 = 4x
18/6 = 3
4x + 3