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11111nata11111 [884]
3 years ago
14

I will be really happy if you help me out! :)

Mathematics
1 answer:
kykrilka [37]3 years ago
7 0

Answer/Step-by-step explanation:

#8. Using the geometric mean theorem formula, h = √xy, where,

h = x

x = 4 and y = 16

Plug in the values

x = √(4*16)

x = 8

#9. Using the geometric mean formula, h = √xy, where,

h = y

x = 5 and y = 8

Plug in the values into the formula:

y = √(5*8)

y = √40

y = 6.3 (nearest tenth)

#10. Using the geometric mean formula, h = √xy, where,

h = 18

x = 12 and y = y = ???

Plug in the values into the formula:

18 = √(12*y)

Square both sides

18² = 12y

324 = 12y

Divide both sides by 12

27 = y

y = 27

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2 years ago
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Roberta has $50 in her purse. The money she has left over after buying two boxes of cookies is given by the equation 50 − x = 38
const2013 [10]

Answer:

The cookies cost $6 each, and $12 altogether.

Step-by-step explanation:

50-38=12, or x

3 0
2 years ago
The numbering system we commonly use is called the decimal numbering system because it uses ____ symbols to represent all possib
mafiozo [28]

The numbering system we commonly use is called the decimal numbering system because it uses <u> 10 </u> symbols to represent all possible numbers.

A way of writing numbers is known as a number system.

There are the following number systems:

  1. Decimal number system: "Deci" meaning 10, implies that the number system consists of 10 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.
  2. Binary number system: "Bi" meaning 2, implies that the number system consists of 2digits or symbols, namely 0, and 1.
  3. Octal number system: "Oct" meaning 8, implies that the number system consists of 8 digits or symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, and 8.
  4. Hexa-Decimal number system: "Hexa-Deci" meaning 16, implies that the number system consists of 16 symbols, namely 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F.

Hence, we can say that the numbering system we commonly use is called the decimal numbering system because it uses <u> 10 </u> symbols to represent all possible numbers.

Learn more about number systems at

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6 0
2 years ago
Ann increased the quantities of all the ingredients in a recipe by 60\%60%60, percent. She used 808080 grams (\text{g})(g)left p
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Answer:

50 grams

Step-by-step explanation:

Let the amount of cheese required by the recipe be "x"

Ann increased 60% from original amount and then used up 80 grams. Thus:

<em>Original, increased by 60%, became 80</em>

<em />

This translated to algebraic equation would be:

x + 0.6x = 80

<u>Note:</u>  60% = 60/100 = 0.6

So we can solve the above equation for "x" and get our answer. Shown below:

x + 0.6x = 80\\1.6x=80\\x=\frac{80}{1.6}\\x=50

Hence,

the recipe required 50 grams of cheese

6 0
3 years ago
Describe in a complete sentence the solution set for 3x + 3 = 3+ 3x.
sineoko [7]

Answer:

<em>It has infinitely as many solutions</em>

Step-by-step explanation:

Equations and Identities

When dealing with equations, we must find values of the variable who mak the expression become an identity.

The expression is an identity regardless on what the value of x is, so we can say the equation has infinite as many solutions. For example x=0 will make the expression look like 3=3 which is an identity. If x=8, we'll obtain 27=27 and so on

5 0
3 years ago
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