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3 years ago

6

Rick buys a spatula costing $2.23. He gives the cashier $5.00. The cashier gives him his change using the least number of coins

and bills possible. How many of each coin or bill does he receive?

1 answer:

Virty [35]3 years ago

5 0

Answer:

2 Dollar Bills

3 quarters

2 pennies

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18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$

8 0

3 years ago

What is the vertex of the parabola<br> 1. (-1,0)<br> 2. (0,-3)<br> 3. (1,-4)<br> 4. (3,0)

larisa [96]

The answer is (1,-4)
Remember that the vertex is the center of the parabola.

3 0

3 years ago

Parallel to y=−3/4x, through (4, -1)

kolbaska11 [484]

Answer:

$y=-\frac{3}{4}x+2$

Step-by-step explanation:

The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.

Slope of given line= $-\frac{3}{4}$

Parallel lines have the same slope. Thus, the slope of the line would also be $-\frac{3}{4}$ .

$y=-\frac{3}{4}x +c$

The value of c can be found by substituting a pair of coordinates.

When x= 4, y= -1,

$-1=-\frac{3}{4} (4)+c$

-1= -3 +c

<em>Add 3 to both sides:</em>

c= -1 +3

c= 2

Thus, the equation of the line is $\bf{y=-\frac{3}{4}x+2$ .

Additional:

Do check out the following for a similar question on slope-intercept form!

brainly.com/question/25549430

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2 years ago

What is the common difference for the sequence shown below?

Alex Ar [27]

It is B because for every point going down, there is 3 to the left and so it is 1/3 and it has to be negative because its going left

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3 years ago

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Write a story to represent the division problem 6 ÷ 1/3

Ilya [14]

Theophilus had a bag of toffees that he wanted share with all of his best friends.

Because Theophilus had a huge number of best friends, and because he was
concerned for their dental dental health, he began by cutting each toffee into
smaller pieces before passing them out.

He began with 6 toffees in the bag. Each toffee was 3-inches long, and he cut
each piece into 1-inch pieces.

To how many friends was he then ready to hand a chunk of toffee ?

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4 years ago