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podryga [215]
3 years ago
14

Elsa's magic wand can cast 53 spells. Her wand can cast 17fewer spells than her sister Anna's wand, which is a little bigger and

has more glitter. How many spells can Anna's wand cast?
Mathematics
1 answer:
Mademuasel [1]3 years ago
4 0

Answer:

<em> Anna's wand can cast 70 spells</em>

<em></em>

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

x - 17 = 53

where x 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

x = 53 + 17

which leaves us with

x = 70

This means that<em> Anna's wand can cast 70 spells.</em>

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The width of a rectangle is 7 meters greater than its length. If the area of the rectangle is 170 square meters, write the quadr
Lostsunrise [7]
Since x represents the length (in meters), the width, which is 7 meters greater, is x +7. The product of these dimensions is the area (in square meters):
  x(x +7) = 170
In standard form, the quadratic is ...
  x² +7x -170 = 0
4 0
3 years ago
An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
What does it mean when ph is slightly acidic?
Nutka1998 [239]
D. Slightly acidic is 5.0 to 5.5
8 0
3 years ago
Help please. i have no idea how to do this.
Grace [21]

Answer:

ill help u lol im pretty positive its 8

5 0
2 years ago
Help
Lubov Fominskaja [6]

Answer:

x=5

Step-by-step explanation:

(8x-8)3/2=64

(24x-8)/2=64 -You are distributing the three

12x-4=64 -You divide the whole thing by two

12x=60 -You subtract the four from both sides

x=5 - You divided the twelve from both sides

Hope this helps!

7 0
2 years ago
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