Melinda bought 6 bowls for $13.20. what was the unit rate in dollars

Answers

Answer 1

Answer: To find the unit rate we will divide the amount of dollars ($13.20) by the amount of bowls (6). Then we will check our work. lets do it:-

13.20 ÷ 6 = 2.20
$2.20 per bowl

CHECK OUR WORK:-

2.20 × 6 = 13.20
we were RIGHT!!

So, the unit rate in dollars for, Melinda bought 6 bowls for $13.20 is, $2.20 per bowl.

Hope I helped ya!! xD

Answer 2

Answer: Just put this , 13.20/6 which is 2.20 so thats 2.20$ a bowl.
also you could , 2.20*6=13.20 , thats still 13.20 (2.20)

all together this means the unit rate in dollar is 2.20 for bowl , per bowl. for Melinda because she bought them for 13.20

i hope this helps.

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Prism A is similar to prism B. Find the volume of prism B if the volume of prism A is 4320 cm3

Answers

$k=(a_A)/(a_B)\nk=(12)/(6)\nk=2\nk^3=(V_A)/(V_B)\nV_B=(V_A)/(k^3)\nV_B=(4320)/(2^3)\nV_B=(4320)/(8)\nV_B=540 \text{ cm}^3$

Answer:

540

Step-by-step explanation:

I am confirming that the answer is 540. :)

Help on logarithmic equation

Answers

$\log _( 2 ){ \left( 3-x \right) } +\log _( 2 ){ 5 } =2\log _( 3 ){ 5 } \n \n \log _( 2 ){ \left( 5\left( 3-x \right) \right) } =\log _( 3 ){ \left( { 5 }^( 2 ) \right) } \n \n { 2 }^{ \log _( 3 ){ 25 } }=5\left( 3-x \right) \n \n { 2 }^{ \log _( 3 ){ 25 } }=15-5x\n \n 5x=15-{ 2 }^{ \log _( 3 ){ 25 } }\n \n x=\frac { 15 }{ 5 } -\frac { { 2 }^{ \log _( 3 ){ 25 } } }{ 5 } \n \n x=3-\frac { { 2 }^{ \log _( 3 ){ 25 } } }{ 5 }$

You have two boxes of colored pens. The first box contains a red pen, a blue pen, and a green pen. The second box contains a yellow pen, a red pen, and a black pen. What is the set that represents all the pens? a.{red pen, blue pen, green pen}
b.{red pen}
c.{red pen, red pen, green pen, yellow pen, black pen}
d.{red pen, blue pen, green pen, yellow pen, black pen}

Answers

Thank you for posting your question here. If you have a two boxes of colored pens. The first box contains a red pen, a blue pen, and a green pen. The second box contains a yellow pen, a red pen, and a red pen, blue pen, green pen, yellow pen, black pen. The answer is D. I hope it helps.

Answer:

d. {red pen, blue pen, green pen, yellow pen, black pen}

Step-by-step explanation:

A = Colors of pens in the first box

B = Colors of pens in the second box

A = {red, blue, green}

B = {yellow, red, black}

D =? set that represents all the pens

In set theory, the union of two (or more) sets is an operation that results in another set, whose elements are the same as the initial sets, without repeating those that are the same.

Therefore, the set that represents all the pens is:

D = {red, blue, green, yellow, black}

Hope this helps!

jenny`s mom says she has an hour before it's bedtime. Jenny's spends 3\5 of hour texting a friend and 3\8 of the remaining time brushing her teeth and putting on her pajamas. she spends the rest of the time reading her book. how long did jenny read?

Answers

15 minutes

Further explanation

Given:

Jenny has an hour before its bedtime.
Jenny spends $(3)/(5)$ of an hour texting a friend and $(3)/(8)$ of the remaining time brushing her teeth and putting on her pajamas.
She spends the rest of the time reading her book.

Question:

How long did Jenny read?

The Process:

Step-1: We need to calculate the time of texting a friend in minutes.

Recall that $\boxed{1 \ hour = 60 \ minutes}$

$\boxed{(3)/(5) \ hour = \ ? \ minutes}$

$\boxed{(3)/(5) \ hour = (3)/(5) * 60 \ minutes}$

We crossed out 5 and 60, i.e., $\boxed{60 / 5 = 12}$

$\boxed{(3)/(5) \ hour = 3 * 12 \ minutes}$

Therefore,

$\boxed{\boxed{ \ (3)/(5) \ hour = 36 \ minutes \ }}$

Step-2: Let us calculate the remaining time.

$\boxed{60 \ minutes - 36 \ minutes = 24 \ minutes }$

Step-3: Jenny spends $(3)/(8)$ of the remaining time brushing herteeth and putting on her pajamas.

$\boxed{(3)/(8) * 24 \ minutes}$

We crossed out 8 and 24, i.e., $\boxed{24 / 8 = 3}$

$\boxed{= 3 * 3 \ minutes}$

$\boxed{\boxed{ \ 9 \ minutes \ }}$

Step-4: Let us calculate how long Jenny read for the rest of time.

$\boxed{24 \ minutes - 9 \ minutes = 15 \ minutes }$

Thus, Jenny spent 15 minutes reading a book before its bedtime.

- - - - - - - - - -

Quick Steps:

Let us calculate how long Jenny read for the rest of time.

$\boxed{ \ = \bigg(1 - (3)/(8) \bigg) * \bigg(1 - (3)/(5) \bigg) * 60 \ minutes \ }$

$\boxed{ \ = (5)/(8) * (2)/(5) * 60 \ minutes \ }$

$\boxed{ \ = (10)/(40) * 60 \ minutes \ }$

$\boxed{ \ = (1)/(4) * 60 \ minutes \ }$

$\boxed{\boxed{ \ 15 \ minutes \ }}$

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Keywords: Jenny, has an hour, before its bedtime, spends 3/5 of an hour, texting a friend, 3/8 of the remaining time, brushing her teeth, putting on her pajamas, reading her book

First you'll need to get the same denominator. So instead of 3/5 and 3/8 you'll have 24/40 and 15/40. Now that we've changed the value of the denominator, the 40/40 will now represents the 1 hour that Jenny has before bedtime. So you add 24/40 and 15/40 and get 39/40. 39/40 stands for the time that Jenny has already spent brushing her teeth and texting her friend all together. Since the 1 hour is 40/40 subtract 39/40 from it to get 1/40. 1/40 is equal to the rest of the time Jenny spends reading or 1.5 minutes.

The sycamore grove contains 30 sycamoretrees. That's 75 percent of all the sycamore
trees in the park. How many sycamore trees
are in the park?

Answers

Answer:

40 sycamore trees

Step-by-step explanation:

We can use the following equation to calculate the total number of sycamore trees in the park:

75% of Total sycamore tree = 30 sycamore tree

0.75 of Total sycamore tree = 30 sycamore tree

$\textsf{ Total sycamore tree = $\sf (30)/(0.75) $ sycamore tree}$

$\textsf{ Total sycamore tree = $\sf 40 $ sycamore tree}$

Therefore, there are 40 sycamore trees in the park.

Let’s assume that the number of sycamore trees in the park is x. According to the problem statement, 30 sycamore trees make up 75% of all sycamore trees in the park. This can be expressed as:

30 = 0.75 * x

Solving for x, we get:

x = 30 / 0.75

x = 40

Therefore, there are 40 sycamore trees in the park.

Consider the function f(x)= x(x-4)If the point , (2+ c,y) is on the graph of F(x), the following point will also be on the graph f(x)

(c- 2,y) or (2- c,y)

Answers

Answer:

option (1) is correct.

point (c-2, y) lies on the graph of $f(x)=x(x-4)$ .

Step-by-step explanation:

Given function $f(x)=x(x-4)$ also point (2+ c,y) is on the graph of f(x) ,

We have to find out of given point which point will also be on the graph of f(x).

Consider the given function $f(x)=x(x-4)$

$f(x)=x(x-4)$ can be rewritten $f(x)=x^2-4x$

Now we substitute the given point (2+ c, y) in the function given ,

we have,

$f(x)=y=x(x-4)$

put for x as 2+c , we have,

$\Rightarrow y=(2+c)(2+c-4)$

Solve, we get

$\Rightarrow y=(2+c)(c-2)$

Thus, both point (2+c, y) and (c-2, y) lies on the graph of $f(x)=x(x-4)$

Thus, option (1) is correct.

Final answer:

To determine whether the point (2+c, y) being on the graph of f(x) implies that the point (c-2, y) or (2-c, y) will also be on the graph of f(x), we need to substitute each point into the function and check if they satisfy the equation.

Explanation:

In this question, we are given the function f(x) = x(x-4). We need to determine whether the point (2+c, y) being on the graph of f(x) implies that the point (c-2, y) or (2-c, y) will also be on the graph of f(x). To verify this, we will substitute the given point (2+c, y) into the function and see if it satisfies the equation. Let's break it down step by step:

Substitute the x-coordinate of the given point (2+c, y) into the function f(x).
Simplify and solve the resulting equation for y.
Substitute the x-coordinate of the points (c-2, y) and (2-c, y) into the function f(x) to check if they satisfy the equation.
Based on the results, determine whether the given point implies that the other two points will also be on the graph of f(x).

Learn more about Graphing functions here:

brainly.com/question/32086455

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