13. John and Jane ate lunch at a local restaurant and wanted to divide the bill evenly. Thebill for the food was $8.70, plus 2 sodas for $0.75 each, including tax. How much
money back should just John receive if he pays for his half with a $20 bill?

Answers

Answer 1

Answer: John will receive $9.80 back

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the directions are: solve each equation by factoring. factor out the greatest common factor. where did I go wrong in my work? (the problem is number 11.

A box of candy weighs 340.23 grams and costs $18.99. if 1 gram is approximately 0.03527 ounces, what is the unit price per ounce of the candy?

Answers

340.23 / 0.03527 =9,646.44
$18.99 / 9,646.44 = .0019686
340.23 / 18.99 = 17.91
17.91 x .0019686 = .0352576

Gavyn can type 100 words a minute. How many words can be typed in 6.5 minutes? please help :(

Answers

Answer:

650

Step-by-step explanation:

Direct proportion

words:minute

100: 1

x:6.5

650=x

hence 650 words

hope this helps :D

Answer:

650

Step-by-step explanation:

100 words in 1 minute

.°. 600 words in 6 minutes

and

100 words in 1 minute

.°. 50 words in 30 secs

.°. total 650 words in 6.5 minutes

identify whether the series infinity sigma i=1 8(5/6)^i-1 is a convergent or divergent geometric series and find the sum if possible

Answers

Answer:

The sum of infinite geometric series is:

Step-by-step explanation:

We have to find the sum of the geometric series which is given as:

$\sum^(\infty)_(i=1) 8* ((5)/(6))^i$

which could also be written as:

$8\sum^(\infty)_(i=1) ((5)/(6))^i$

As we know that any infinite series of the form:

$\sum^(\infty)_(i=1)x^i$

is convergent if |x|<1

Here we have:

x=5/6<1

Hence,the infinite series is convergent.

Also we know that for infinite geometric series the sum is given as:

$S=(a)/(1-r)$

Here we have:

a=5/6 and common ration r=5/6

Hence, the sum of series is:

$8\sum^(\infty)_(i=1) ((5)/(6))^i=8* (((5)/(6))/(1-(5)/(6)))\n\n=8* (((5)/(6))/((1)/(6)))\n\n=8* 5\n\n=40$

Hence, the sum of series is:

The sum is convergent. I'll assume the 8 isn't an attempt at using the infinity symbol, so that you have

$\displaystyle\sum_(i=1)^\infty 8\left(\frac56\right)^(i-1)$

This converges because the common ratio between terms is smaller than 1.

The sum is

$\frac8{1-\frac56}=48$

since

$\displaystyle\sum_(i=1)^\infty ar^(i-1)=a\lim_(n\to\infty)\sum_(i=1)^nr^(i-1)=a\lim_(n\to\infty)(1-r^n)/(1-r)=\frac a{1-r}$

if $|r|<1$ .

The ratio of D's to A's in the school was 4 to 72. If there were 1080 A's in the school this term, how many D's were there? Write your answer in a complete sentence.

Answers

Answer:

To find the number of D's in the school, we can use the given ratio of D's to A's and the number of A's provided.

The ratio of D's to A's is given as 4 to 72. This means that for every 4 D's, there are 72 A's.

We are also given that there are 1080 A's in the school this term.

To find the number of D's, we can set up a proportion using the ratio:

4 D's / 72 A's = X D's / 1080 A's

Cross-multiplying, we get:

4 * 1080 = 72 * X

Simplifying further:

4320 = 72X

Dividing both sides by 72:

X = 4320 / 72

X = 60

Therefore, there were 60 D's in the school.

Step-by-step explanation:

Is the inequality below sometimes, always, or never true? -2(2x + 9) > -4x + 9 A. always B. sometimes C. never

Answers

First simplify the inequality.
-2(2x+9) > -4x+9
Distribute the -2 over parentheses.
-4x-18 > -4x+9
Add 4x to each side to get rid of it.
-18 > 9
This statement is never true because -18 can never be greater than 9.

C. Never

solve it to see

distribute
-4x-18>-4x+9
add 4x both sides
-18>9
add 18 both sides
0>36
false
never true
C

What is the inverse of the function y = 4x + 5?