Answer:
1/4 remained

2/4 - mist + 1/4 -flout = 3/4

4/4 - 3/4 = 1/4

2/4 - mist + 1/4 -flout = 3/4

4/4 - 3/4 = 1/4

Answer:
one fourths would be left

Jenna flips two pennies 105 times. How many times can she expect both coins to come up heads?

John made a lump sum deposit of $ 6,300 in an account that pays 6.5% per year. Findthe value (maturity value) of his account after 5 years. How much is the interest?

Are ray AB and ray BA same? why

So this is the question: Meg has 7/8 jug of orange juice. How many 1/2 jug servings can Meg get from that jug? Please help me!

Estimate the quotient by rounding the expression to relate to a one-digit fact. Explain your thinking in the space below. a. 432 ÷ 73 ___________ b. 1,275 ÷ 588 ___________

John made a lump sum deposit of $ 6,300 in an account that pays 6.5% per year. Findthe value (maturity value) of his account after 5 years. How much is the interest?

Are ray AB and ray BA same? why

So this is the question: Meg has 7/8 jug of orange juice. How many 1/2 jug servings can Meg get from that jug? Please help me!

Estimate the quotient by rounding the expression to relate to a one-digit fact. Explain your thinking in the space below. a. 432 ÷ 73 ___________ b. 1,275 ÷ 588 ___________

**Answer:**

x = 2+

**Step-by-step explanation:**

**Answer:**

The number of key rings sold on a particular day when the total profit is $5,000 is **4,000 rings**.

**Step-by-step explanation:**

The question is incomplete.

*An owner of a key rings manufacturing company found that the profit earned (in thousands of dollars) per day by selling n number of key rings is given by *

*where n is the number of key rings in thousands.*

*Find the number of key rings sold on a particular day when the total profit is $5,000.*

We have the profit defined by a quadratic function.

We have to calculate n, for which the profit is $5,000.

We have to calculate the roots of the polynomial we use the quadratic equation:

n1 is not valid, as the amount of rings sold can not be negative.

Then, the solution is n=4 or 4,000 rings sold.

tickets were sold for the school play. They were either adult tickets or student tickets. There were

57

more student tickets sold than adult tickets. How many adult tickets were sold?

325 adult tickets, 382 student

It is assumed that the number of trees still alive is given by N = art

where / is the number of trees still alive t years after 1st September 2014.

a) Write down the value

c) Show that on 1st September 2040

the number of trees still alive is predicted

o have decreased by over 65% compared

with September 2014.

b) Show that r = 0.96

Answer:

1. a = 5400

2. r = 0.96

3. Percentage decrement = 65.4%

Step-by-step explanation:

Given

N = ar^t

Solving (a): Write down the value of a

a implies the first term

And from the question, we understand that the initial number of trees is 5400.

Hence,

a = 5400

Solving (b): Show that r = 0.96

Using

N = ar^t

When a = 5400, t = 1 i.e. the first year and N = 5184

Substitute these values in the above expression

5184 = 5400 * r¹

5184 = 5400 * r

5184 = 5400r

Solve for r

r = 5184/5400

r = 0.96

Solving (c): Show that the trees has decreased by over 65% in 2040

First, we need to calculate number of years (t) in 2040

t = 2040 - 2014

t = 26

Substitute 26 for t, 5400 for a and 0.96 for r in N = ar^t to get the number of trees left

N = 5400 * 0.96^26

N = 1868.29658019

N = 1868 (approximated)

Next, we calculate the percentage change as thus:

%Change = (Final - Initial)/Initial * 100%

Where the initial number of trees =5400 and final = 1868

%Change = (1868 - 5400)/5400 * 100%

%Change = -3532/5400 * 100%

%Change = -3532%/54

%Change = -65.4%

The negative sign indicates a decrements or reduction.

Hence, percentage decrement = 65.4% and this is over 65%

**Answer:**

y = (3/2) x +6

**Step-by-step explanation:**

The y-intercept is clearly at y = 6 point (0, 6) of the table.

The slope can be calculated using any two pairs, for example (-4,0) and (-2, 3)

slope = (y2 - y1)/(x2 - x1) = (3 - 0) / (-2 + 4 ) = 3/2

Then the equations of the line in slope y-intercept form is:

**y = (3/2) x +6**

the answer is y=(3/2)x+6

**Answer:**

x=1/4 or x=-1

**Step-by-step explanation:**

x−

1

x

+3x+3=0

4x2+3x−1

x

=0

Step 1: Multiply both sides by x.

4x2+3x−1=0

(4x−1)(x+1)=0(Factor left side of equation)

4x−1=0 or x+1=0(Set factors equal to 0)

x=

1

4

or x=−1

Check answers. (Plug them in to make sure they work.)

x=

1

4

(Works in original equation)

x=−1(Works in original equation)

Answer:

x=

1

4

or x=−1