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ioda
3 years ago
7

It's going to be Lindsay's birthday soon, and her friends Martin, Sylvia, Tad, and Yvonne have contributed equal amounts of mone

y to buy her a present. They have $25.00 to spend between them. Determine how much each contributed.
Aaron reads 9 books from the library each month for p months in a row. Write an expression to show how many books Aaron read in all. Then, find the number of books Aaron read if he read for 6 months.
Mathematics
1 answer:
Zolol [24]3 years ago
7 0

Answer: 1) Each friend had contributed $6.25.

2)The expression to show how many books Aaron read in p months :

y=9p

He reads 54 books in 6 months.

Step-by-step explanation:

1) Given : The total number of friends who contributed equal amounts of money to buy a present. : 4

The total amount they have = $25

Since all the friends contributed the same amount.

Thus , the amount each had contributed :

=\dfrac{\text{Amount collected}}{\text{Number of friends}}\\\\=\dfrac{25}{4}=6.25

Hence, each friend had contributed $6.25.

2) Given : The number of books Aron reads each month = 9 books

Let the number of months be 'p'.

Then the expression to show how many books Aaron read in p months .

y=9p

Then , the  number of books Aaron read if he read for 6 months.

y=9(6)=54

Hence, he reads 54 books in 6 months.

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Which of the following is true regarding the solution to the logarithmic equation below? log Subscript 2 Baseline (x + 11) = 4.
meriva

Answer:

Option C.

Step-by-step explanation:

The given logarithmic equation is

\log_2(x+11)=4

It can be written as

(x+11)=2^4     [\because log_ax=y\Leftrightarrow x=a^y]

x+11=16

x=5

Now, to check whether x=5 is a true solution or not. Substitute x=5 in the LHS of given equation.

LHS=\log_2(5+11)

LHS=\log_2(16)

LHS=\log_22^4

LHS=4     [\because log_aa^x=x]

LHS=RHS

Hence, x=5 is a true solution because \log_2(16)=4.

Therefore, the correct option is C.

5 0
3 years ago
3 miles. 128 yards. Converted to feet
Digiron [165]
It’s 16334 feet ....
3 0
3 years ago
Given f(x)=1/x+5 and g(x)=x-2
vladimir1956 [14]

For this case we have the following functions:

f (x) = \frac {1} {x + 5}\\g (x) = x-2

We must find f (g (x)). So:

f (g (x)) = \frac {1} {(x-2) +5} = \frac {1} {x-2 + 5} = \frac {1} {x + 3}

Finally we have to:

f (g (x)) = \frac {1} {x + 3}

For the function to be defined the denominator must be different from 0. That is x different from -3.

Answer:

Option B

3 0
3 years ago
Find the midpoint of the segment with the following endpoints.<br> (2,9) and (8,1)
vazorg [7]

Answer:

\displaystyle (5,5)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Midpoint Formula: \displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

Point (2, 9)

Point (8, 1)

<u>Step 2: Identify</u>

(2, 9) → x₁ = 2, y₁ = 9

(8, 1) → x₂ = 8, y₂ = 1

<u>Step 3: Find Midpoint</u>

Simply plug in your coordinates into the midpoint formula to find midpoint

  1. Substitute in points [Midpoint Formula]:                                                         \displaystyle (\frac{2+8}{2},\frac{9+1}{2})
  2. [Fractions] Add:                                                                                                  \displaystyle (\frac{10}{2},\frac{10}{2})
  3. [Fractions] Divide:                                                                                              \displaystyle (5,5)
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3 years ago
Can a table still be a function if the x values arent the same but 2 y values are the same?
Contact [7]
The answer is yes.

Its yes because it exactly one input(x) & multi outputs(y). <span />
5 0
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