Answer:
there are 12 dogs.
Step-by-step explanation:
d= dogs now plug in the 4 into your equation.
c= cats d=3(4)
d+c=16 d=12
3c+c=16
4c=16 SO THEREFORE THERE ARE 12 DOGS :)
c=4
Answer:
71 people can attend under these constraints
Explanation:
So you write the slope intercept form equation which is 7x+50=200
You got 7x because every tickets cost 7
You add 50 because of the bus
And you’re wondering how many people are able to go by just spending about $200
So you subtract 50 on both side and you are left with 7x=150 so you have to divide 7 on both side next and you get about 71.4... so basically just round it up to 71 people
Answer:
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Step-by-step explanation:
3, 9, 15, 21, ...
9-3 = 6; 15-9 = 6; 21-15 = 6 ⇒ d = 6
first term: a = 3
difference: d = 6
so the formula:
and:

Answer:
Option D. 9
Step-by-step explanation:
There are two ways to obtain the answer to the question.
Method 1:
Let 2x + 1 = 0
Making x the subject, we have
2x + 1 = 0
Collect like terms
2x = –1
Divide both side by 2
x = –1/2
Now, put the value of x into the expression 4x³ – 6x² – 8x + 7, we have:
4x³ – 6x² – 8x + 7
x = –1/2
4(–1/2)³ – 6(–1/2)² – 8(–1/2) + 7
4(–1/8) – 6(1/4) – 8(–1/2) + 7
–1/2 – 3/2 + 4 +7
– 4/2 + 4 + 7
– 2 + 4 + 7
= 9
Method 2:
Divide 4x³ – 6x² – 8x + 7 by 2x + 1
Please see attached photo for explanation.
Answer: Angle 2 = 47 degree
Explanation:
Proof that triangle ACB ~ triangle CBD
Angle ABC = Angle CBD (same angle)
If one pair of the angle is the same then the other pair should also be equal because both the triangle are Isosceles.
=> angle ACD = Angle CDB
Therefore, triangle ACB ~ triangle CBD (AA)
=> angle C = Angle A
But angle A = 47 degree
Therefore, Angle C = Angle 2 = 47 degree