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3 years ago

14

Nell’s mom makes chocolate milk with 30 mL or chocolate syrup for every 2 ounces of milk. Mell’s dad adds 65 mL of chocolate syr

up for every 5 ounces of milk. Whose chocolate milk is more chocolatey? Show your work. Choose 1 answer. A. Nell’s mom B. Nell’s dad C. The two chocolate milks are equally chocolatey

1 answer:

Afina-wow [57]3 years ago

3 0

Answer:

15<13

Step-by-step explanation:

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PLZ HELP THIS IS TIMED!!!!

mihalych1998 [28]

Answer:

For the sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

Hence the formula $f(x)=-\frac{2}{3}(6)^{x-1}$ for x=1,2,3,... represents the given geometric sequence

Step-by-step explanation:

Given sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

To find the formula to describe the given sequence :

Let $a_1=\frac{-2}{3}$ , $a_2=-4$ , $a_3=-24$ ,...

First find the common ratio

$r=\frac{a_2}{a_1}$ here $a_1=\frac{-2}{3}$ and, $a_2=-4$

$=\frac{-4}{\frac{-2}{3}}$

$=\frac{4\times 3}{2}$

$=\frac{12}{2}$

$r=6$

$r=\frac{a_3}{a_2}$ here $a_2=-4$ and $a_3=-24$

$=\frac{-24}{-4}$

$=6$

$r=6$

Therefore the common ratio is 6

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is

$a_n=a_1r^{n-1}$

The formula which describes the given geometric sequence is

$f(x)=a_1r^{x-1}$ for x=1,2,3,...

$=\frac{-2}{3}6^{x-1}$ for x=1,2,3,...

Now verify that $f(x)=a_1r^{x-1}$ for x=1,2,3,... represents the given geometric sequence or not

put x=1 and the value of $a_1$ in $f(x)=a_1r^{x-1}$ for x=1,2,3,...

we get $f(1)=-\frac{2}{3}(6)^{1-1}$

$=-\frac{2}{3}(6)^0$

$=-\frac{2}{3}$

Therefore $f(1)=-\frac{2}{3}$

put x=2 we get $f(2)=-\frac{2}{3}(6)^{2-1}$

$=-\frac{2}{3}(6)^1$

$=-\frac{12}{3}$

Therefore $f(2)=-4$

put x=3 we get $f(3)=-\frac{2}{3}(6)^{3-1}$

$=-\frac{2}{3}(6)^2$

$=-\frac{2(36)}{3}$

Therefore $f(3)=-24$

Therefore the sequence is f(1),f(2),f(3),...

Therefore the sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

Hence the formula $f(x)=a_1r^{x-1}$ for x=1,2,3,... represents the given geometric sequence is verified

Therefore the formula $f(x)=-\frac{2}{3}(6)^{x-1}$ for x=1,2,3,... represents the given geometric sequence

7 0

4 years ago

Read 2 more answers

For a recent job, a plumber earned $28/hr, and the plumber’s apprentice earned $15/hr. The plumber worked 3 hours more than the

Oxana [17]

Answer: (with explanation) (ANSWER AT THE BOTTOM)

et P = number of hours that the plumber worked.

let H = number of hours that the helper worked.

since the plumber worked 3 more hours than the helper, the equation for hours worked is

P = H + 3

-----

since the plumber earned 28 dollars per hour and the helper earned 15 dollars per hour, the equation for amount of money each made is the number of hours each worked times the dollars per hour each earned.

this equation is

(28*P) + (15*H) = 213 dollars

-----

both get the same answer.

-----

-----

substitute for P in the money equation since P is the same as H + 3.

equation becomes

(28*(H+3)) + (15*H) = 213

solve for H.

28*H + 28*3 + 15*H = 213

43*H + 84 = 213

43*H = 129

H = 3

-----

if H = 3, then P = 6 because P = H + 3.

-----

6*28 + 3*15 = 213 so your answer is

<h2>Plumber works 6 hours</h2><h2>Helper works 3 hours.</h2>

now to find the amount each earn by themselves, we just have to multiply by 6 or 3 by their hourly earning.

let's do the Plumber first

28x6=168

now the helper

15x3=45

---------

now to check if that was the right answer, let's add them up...

168+45=213

so, our answer is right.

-----------------

<h2>The plumber worked for 6 hours and earned $168 and the helper worked for 3 hours and earned $45 dollars. In total, they earned $213.</h2>

3 0

2 years ago

Read 2 more answers

Lauren,Amanda,and Cami each buy the same pizza.Cami eats 1/2 of her pizza.Amanda eats less than Cami.Lauren eats more than Cami.

Harrizon [31]

Amanda could’ve ate 1/4 and Lauren could’ve ate 3/4. I hope this helps!

6 0

3 years ago

The manager of a fast food restaurant is supposed to serve coffee that is 160 degrees Fahrenheit. A random sample of 20 cups of

evablogger [386]

Answer:

C. No, the Normal/large sample condition is not met.

Step-by-step explanation:

There is only 20 cup and for a sample to meet the Normal/large sample condition it must be greater than 30 samples or have a normal distribution or have no skewness or outliers

8 0

3 years ago

What is the solution to the equation x + 9.5 = 27.5?

aksik [14]

Answer:

x = 18.

Step-by-step explanation:

x + 9.5 = 27.5

Subtract 9.5 from both sides:

x = 27.5 - 9.5

x = 18 (answer).

5 0

3 years ago