Answer:
$42
Step-by-step explanation:
196-(14×2)=168
168÷6=28
28+14=42
Answer:
- AC is congruent to CE
- BG is congruent to DG
- BH is congruent to DF
Step-by-step explanation:
AC is congruent to CE because of the 2 congruent tick marks.
BG is congruent to DG because of the 1 congruent tick mark for each segment.
BH is congruent to DF because of the 3 congruent tick marks for each segment.
I only did the first part but maybe later I will solve the rest too. If there are any errors but tell me so I can update the pic.
Let
x = pounds of peanuts
y = pounds of cashews
z = pounds of Brazil nuts.
The total pounds is 50, therefore
x + y + z = 50 (1)
The total cost is $6.60 per pound for 50 pounds of mixture.
The total is equal to the sum of the costs of the different nuts.
Because the cost for peanuts, cashews, and Brazil nuts are $3, $10, and $9 respectively, therefore
3x + 10y + 9z = 50*6.8
3x + 10y + 9z = 340 (2)
There are 10 fewer pounds of cashews than peanuts, therefore
x = y + 10 (3)
Substitute (3) into (1) and (2).
y + 10 + y + z = 50
2y + z = 40 (4)
3(y + 10) + 10y + 9z = 340
13y + 9z = 310 (5)
From (4),
z = 40 - 2y (6)
Substitute (6) into (5).
13y + 9(40 - 2y) = 310
-5y = -50
y = 10
z = 40 - 2y = 40 - 20 = 20
x = y + 10 = 20
Answer:
Peanuts: 20 pounds
Cashews: 10 pounds
Brazil nuts: 20 pounds
The expression 
is called as <u>option d)</u> Quartic Trinomial.
<u>Step-by-step explanation:</u>
The given expression is .
<u>To find the number of terms :</u>
- one-term polynomial is called a monomial
- two-term polynomial is called a binomial and
- three-term polynomial is called a trinomial
"The number of terms in the expression is Three."
<u>The three terms are as follows :</u>
⇒ First term is 
⇒ Second term is 15x³
⇒ Third term is 53x²
Therefore, the given expression is called a "trinomial" with respect to the number of terms in it.
<u>To find the degree :</u>
The degree of a polynomial is the highest of the degrees of the individual terms in it with non-zero coefficients.
Here, in this expression the highest degree is 4.
Fourth degree is known as "Quartic".
Now, combining the number of terms and degree in the given expression, it is known as "Quartic Trinomial" which is option D).
