Answer:
<em> Anna's wand can cast 70 spells</em>
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Step-by-step explanation:
Elsa's wand can cast 53 spells
her wand casts 17 fewer cells than her sister Anna's
Amount of spells cast by Anna's wand = ?
We write the question down in the form of an equation

where
is the amount of spells Anna's wand can cast.
we then proceed to solve by collecting like terms to different sides of the equation. We'll have

which leaves us with

This means that<em> Anna's wand can cast 70 spells.</em>
For No. 13 you need to calculate the distance each girl travels and compare to see whose distance is greater. The formula for distance is rate x time or d=rt. The rate is just how fast they consistently go.
Mia
d = r x t
d = 14 x 3/2
d = 21 miles
Chloe
d = r x t
d = 35 x 3/4 (btw 3/4 is just 45/60 simplified)
d = 105/4 = 26 1/4 miles
Final Answer: Chloe traveled further
For No. 14 we will recalculate Mia's distance but replace 1/5 hours with 2 hours because it says she will bike 30 minutes after Chloe had stopped. Afterwards we will compare Mia's new distance with Chloe's old distance.
Mia
d = r x t
d = 14 x 2
d = 28 miles
Final Answer: Yes Mia would be able to catch up to Chloe, and even surpass her in 30 minutes if Chloe stopped.
Answer:
h(x) = 2x²+2
Step-by-step explanation:
Given the function g is defined as follows.
g(x) = 2x²+7
If the graph is translated by 5units vertically downwards, this means that the function will be reduced by 5 units to have;
h(x) = 2x²+7 - 5
h(x) = 2x²+2
Pretty sure law. judicial means of, by, or appropriate to a court or judge.
Multiplying a negative number and another negative number makes the product positive.
So (-2.1)*(-1.4) = 2.94