Answer:
This is a binomial.
Step-by-step explanation:
Bi means two. Therefore, since this polynomial only has two integers it is a binomial.
Answer:
In this equation x = 2
Step-by-step explanation:
First, it is easiest to convert these words to numbers. That would make it
4 - <em>x </em>· 7 = -10
First subtract 4 from both sides.
4 - <em>x</em> · 7 - 4 = - 10 - 4
Then you simplify.
-<em>x ·</em> 7 = -14
Divide both sides by 7.

Then you simplify that fraction to 2 and thats how you get your answer.
-(3x-2)=-4(x+1)-4
-3x+2=-4x-4-4
-3x+4x=-4-4-2
x=-10
To solve this word problem, we will use the Pythagorean Theorem.
Pythagorean Theorem: a^2 + b^2 = c^2
Our side lengths are 10 and 24ft.
So, we can plug them in for a and b.
10^2 + 24^2 = c^2
100 + 576 = 676
Then, we need to find the square root of 676.
sqrt676) = 26
So, the missing length or the hypotenuse is 26 feet.
Therefore, we require 26 feet of string to measure the length of the hypotenuse in which the room is split in half.
Answer:
Grand coffee cup = 1469 gm
Jumbo coffee cup = 60 gm
Step-by-step explanation:
Let x be the grande coffee cup and y be the jumbo coffee cup.
Solution:
From the first statement. They served 23 grande cups and 51 jumbo cups of the new coffee today, which equal a total of 36,846 grams.
So, the equation is.
---------(1)
From the second statement. They served 58 grande cups and 68 jumbo cups of the new coffee tomorrow, which equal a total of 59460 grams.
----------(2)
Solve the equation 1 for x.


---------(3)
Substitute
in equation 2.




Using cross multiplication.


y ≅ 60 gram
Substitute y = 60 in equation 3.



grams
Therefore, grand coffee cup = 1469 gm and jumbo coffee cup = 60 gm