By verbal reasoning, the pair of words required can be obtained from the
synonyms of the given pair.
Correct response:
- <u>Variable</u>; <u>supposition</u>
<h3>Analysis used for making the above selection</h3>
Prediction: A prediction is a statement indicating the result to be
expected from a trial or test, based on deductive reasoning from a
theory or hypothesis.
An explanation is a statement describing a phenomenon and is taken as
an hypothesis.
A variable is an outcome of a test or trial, or observation.
A supposition is a held notion or belief that is similar to a hypothesis.
Therefore;
Prediction is to explanation as <u>variable</u> is to <u>supposition</u>.
Learn more about prediction and variables here:
brainly.com/question/17372552
Answer:
They buy 6 hotdogs and 5 popcorn
Step-by-step explanation:
Assume that they buy x hotdogs and y popcorn
∵ They buy a total of 11 hotdogs and popcorn
∵ The number of hotdogs is x and the number of popcorn is y
∴ x + y = 11 ⇒ (1)
∵ Hot dogs cost $2.50 each
∵ Popcorn costs $1.00 each
∵ They spend $20 on hot dogs and popcorn
→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20
∴ 2.5(x) + 1(y) = 20
∴ 2.5x + y = 20 ⇒ (2)
Now we have a system of equations to solve it
→ Subtract equation (1) from equation (2)
∵ (2.5x - x) + (y - y) = (20 - 11)
∴ 1.5x + 0 = 9
∴ 1.5x = 9
→ Divide both sides by 1.5 to find x
∴ x = 6
→ Substitute the value of x in equation (1) to find y
∵ 6 + y = 11
→ Subtract 6 from both sides
∴ 6 - 6 + y = 11 - 6
∴ y = 5
∴ They buy 6 hotdogs and 5 popcorn
THAT THE TRIANGLE ACCORDING TO QUESTION AND I THINK SO OPTION A IS RIGHT 95%
Width-24 Length-29
Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).
Hey there! I'm happy to help!
We want to multiply each term inside the parentheses by the number on the outside.
-3(-7)=21
-3(3z)=-9z
Therefore, our expression is 21-9z.
Now you know how to use the distributive property! Have a wonderful day! :D
