Answer:
Suzanne is incorrect.
Step-by-step explanation:
To figure out if the two equations are equivalent, we can simplify each one of them.
Simplifying the first equation, we get:
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Simplifying the second equation, we get:
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Now that both equations are simplified, we can see that the equations are not equivalent. Suzanne is incorrect.
Answer: 8 cupcakes per box
Step-by-step explanation: "Per box" means in 1 box, so we can rewrite the given statement using fractions as
<em>48 cupcakes/6 boxes</em> = <em>__ cupcakes/1 box</em>.
To find out what goes in the blank, notice that we
have a 1 in the denominator of our second fraction.
So we want to find a fraction that is equivalent
to 48/6 that has a 1 in the denominator.
If we divide the numerator and denominator of 48/6 by 6,
we get the equivalent fraction 8/1 or <em>8 cupcakes/1 box</em>.
So now we have <em>8 cupcakes/1 box = __cupcakes/1 box</em>.
So an 8 must go in the blank which means that the unit rate
for 48 cupcakes in 6 boxes is <em>8 cupcakes per box</em>.
Answer: ∠ABE=20°
Step-by-step explanation:
∵ AB=BC
∴ ΔABC is a isosceles triangle
∵ ∠A=30
∴ ∠C=30
∵ The interior angle sum of triangle is 180°
∵ ∠A+∠B+∠C=180
30+∠B+30=180
∠B+60=180
∠B=120 (∠ABC)
∵ ∠EBD+∠ABE+∠ABC=linear pair
∴∠EBD+∠ABE+∠ABC=180°
4x+2x+120=180
6x+120=180
6x=60
x=10
∠ABE=2x=2(10)=20°
Hope this helps!! :)
Please let me know if you have any question
Answer:
28
Step-by-step explanation:
f(n)=34, f(n-6)=34-6
=28