Answer: number of adults = 3, number of children = 5
Step-by-step explanation:
let the number of adults be x, and the number of children be y.
x + y = 8 , 15x + 8y = 85
1st equation x 8 = 8x + 8y = 64

substitute x=3

D) EFGH moved onto E'F'G'H after rotating 180 counterclockwise around the origin and the reflecting across the y-axis.
<h3>How to carry out transformations?</h3>
From online resources gotten about this question, for quadrilateral EFGH and quadrilateral E'F'G'H to be congruent, what we must do first is to rotate 180° counterclockwise around the origin and then move EFGH onto E'F'G'H'.
The last step to get this proof of congruency is to reflect across the y-axis.
Read more about transformations at; brainly.com/question/4289712
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Answer:
q = -13.2
Step-by-step explanation:
9.7q = 9.1q - 7.92
Subtract 9.1q from both sides.
0.6q = -7.92
Divide both sides by 0.6
q = -13.2
Double check your work.
9.7(-13.2) = 9.1(-13.2) - 7.92
-128.04 = -120.12 - 7.92
-128.04 = -128.04
Answer:
Step-by-step explanation:
Use synthetic division to answer this. If the remainder is zero, then we can safely assume the divisor (x + 7) is a factor of the polynomial f(x)= x^3-3x^2+2x-8.
We use -7 as the divisor in synth. div. This comes from the factor (x + 7):
-7 / 1 3 2 -8
-7 28 -210
-------------------------
1 -4 30 -218
Here, the remainder is -218, not zero, so no, (x+7) is not a factor of f(x)= x^3-3x^2+2x-8.
2 pieces of squid = $3.50
Therefore 1 piece of squid = $1.75 (3.50÷2)
1 piece of eel = $3.25
3 pieces of tuna = $6.75
Therefore 1 piece of tuna = $2.25 (6.75÷3)
4 pieces of crab = $8.00
Therefore 1 piece of crab = $2 (8÷4)
Put them in order of price and you get
$1.75 , $2 , $2.25 , $3.25
squid,crab,tuna,eel