Answer:
Step-by-step explanation:
1. 6, ?, ?, ?,102
a0 =6
a1=?
a2=?
a3=?
a4=102
an= a0+n*d
a4= 6+ 4*d=102 so 4d= 102-6=96, so d=96/4=24
d=24
a1 = 6+24=30
a2 =30+24=54
a3 =54+24=78
There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.
Step-by-step explanation:
Given,
Calories in each hotdog = 80 calories
Calories in each mini pizza = 50 calories
Combined meal = 20
Combined calories = 1450 calories
Let,
x represent the number of hot dogs.
y represent the number of mini pizzas.
According to given statement;
x+y=20 Eqn 1
80x+50y=1450 Eqn 2
Multiplying Eqn 1 by 80

Subtracting Eqn 2 from Eqn 3

Dividing both sides by 30

Putting y=5 in Eqn 1

There are 15 mini hotdogs and 5 mini pizza rolls in the combination meal.
Keywords: linear equation, elimination method
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Im guessing Scientific Means it uses Formulas and different types of symbols, so I would think 5.91E10 & 2.66 x 10^-3 go in the Scientific Section. The other 2 go in Standard.
Trying to Help!
To determine the salary of the department head, you will create any equation that represents the situation. Equation it will be in terms of S, the salary of one of the department heads.
3s + s = 190000
4s = 190000
s = $47500
The salary of the department head is $47,500.
Answer: 
Step-by-step explanation:
<u>Given the system of equation</u>


<u>Expand the parenthesis of the 1) equation</u>




<u>Current System</u>


<u>Substitute the y value of the 1) equation with the 2) equation</u>

<u>Add ( x² + 4x + 3) on both sides</u>


<u>Combine like terms</u>


<u>Factorize the quadratic equation</u>


<u>Substitute the x values into one of the equations to find the y value</u>



<u>Therefore, the two solutions are:</u>

Hope this helps!! :)
Please let me know if you have any questions