Answer:
z = -3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Distributive Property
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
42 = -7(z - 3)
<u>Step 2: Solve for </u><em><u>z</u></em>
- [Distributive Property] Distribute -7: 42 = -7z + 21
- [Subtraction Property of Equality] Subtract 21 on both sides: 21 = -7z
- [Division Property of Equality] Divide -7 on both sides: -3 = z
- Rewrite: z = -3
Answer:
I think its 9 to 45, b.
Step-by-step explanation:
because the a gets you a 39900% , and c gets you a 500%, and d gets you a 300%. So b is the only option that makes sense.
Answer:
12 inches
Step-by-step explanation:
Suppose the ice cream scoop has the shape of a sphere of a radius (r) inches.
Thus, the top of the cone will also have a radius (r) inches.
Let consider h to be the height of the cone in inches.
So, the objective is to make the volume of the scoop of the ice cream to be the same as the volume of the cone.
To do that; we need to equate both volumes together and make h the subject of the formula:
The volume of a sphere = 4/3 πr³ and the volume of a cone = 1/3πr²h
4/3 πr³ = 1/3πr²h
Multiply both sides by 3
4πr³ = πr²h
4r = h
h = 4(3)
h = 12 inches
To contain all the ice cream inside the cone, the height of the ice cream cone needs to be 12 inches tall
This is a tricky question that Reina and Sam are multiplying (84)5 (73)9and their work are (84)5 (73)9 = 84 + 573 + 9 = 89712 Reina's(84)5 (73)9 = 84⋅573⋅9 = 820727 Sam'sActually they are doing or multiplying using exponents.
Reina’s work (8⁴)₅(7³)⁹=8⁴⁺⁵+ 7³⁺⁹= 8⁹ 7¹²This is incorrect because she added exponents instead of multiplying exponents
Sams work (8⁴)⁵ (7³)⁹=8⁴ˣ⁵ 7³ˣ⁹= 8²⁰ 7²⁷This is correct because Sam multiplied exponents correctly
Exponents are multiplied not added.
The length of the similar tube will be 5041 cm.
<h3>What is the area?</h3>
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.
Given that:-
- A piece of card, 1200 cm² in area, will make a tube 13 cm long. How long is a similar?
- Tube made from a similar piece of card with an area of 500square centimetres.
The radius of the first tube will be calculated as:-
1200 = 2πr ( 13 )
r = 12 / 2π x 113
r = 14.7 cm
Now the length of the second tube will be:-
500 = 2π x 14.7 x L
L = 500 / 2π x 14.7
L = 5.41 cm.
Therefore the length of a similar tube will be 5041 cm.
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