All categories

3 years ago

Can $2 for a bottle of orange juice be expressed as a rate?

1 answer:

8 0

Yes you can. Say you want to buy x amount of bottles. How much would you pay? 2x dollars. So the rate is 2 times the number of bottles. Hope this helps.

You might be interested in

Solve the system of equations by substitution and show work.<br> y=−6x+13<br> y=3x+4

sukhopar [10]

Answer: x= 1 , y = 7

Step-by-step explanation:

y = -6x + 13 ................. equation 1

y = 3x + 4 ................ equation 2

substitute y = 3x + 4 into equation 1 , then we have

3x + 4 = - 6x + 13

collect the like terms , we have

3x + 6x = 13 - 4

9x = 9

x = 1

substitute x = 1 into equation 2 , we have

y = 3(1) + 4

y = 3 + 4

y = 7

Therefore : x = 1 and y = 7

6 0

3 years ago

Read 2 more answers

Find the equation of the inverse.<img src="https://tex.z-dn.net/?f=y%20%3D%20%20%7B2%7D%5E%7Bx%20%2B%205%7D%20%20-%206" id="TexF

Contact [7]

Find the equation of the inverse.

$y = {2}^{x + 5} - 6$

we have

$y=\mleft\{2\mright\}^{\mleft\{x+5\mright\}}-6$

step 1

Exchange the variables

x for y and y for x

$x=\{2\}^{\{y+5\}}-6$

step 2

Isolate the variable y

$(x+6)=2^{(y+5)}$

apply log both sides

$\begin{gathered} \log (x+6)=(y+5)\cdot\log (2) \\ y+5=\frac{\log (x+6)}{\log (2)} \\ \\ y=\frac{\log(x+6)}{\log(2)}-5 \end{gathered}$

step 3

Let

$f^{(-1)}(x)=y$

therefore

the inverse function is

$f^{(-1)}(x)=\frac{\log(x+6)}{\log(2)}-5$

7 0

1 year ago

Which list shows the numbers in order from least to greatest?

nata0808 [166]

Answer: second one (B) - 2.045, 2.43, 259

Step-by-step explanation: 2.045 is the lowest value due to the 0 in the hundredths place. 2.43 has a lower value than 259, it being a decimal.

7 0

3 years ago

Today there are a total of six toll-free area codes: 800, 844, 855, 866, 877, and 888. Assume that all seven digits for the rest

Ludmilka [50]

Answer:

$6 \times 10^{7}$

Step-by-step explanation:

Total number of toll-free area codes = 6

A complete number will be of the form:

800-abc-defg

Where abcdefg can be any 7 numbers from 0 to 9. This holds true for all the 6 area codes.

Finding the possible toll free numbers for one area code and multiplying that by 6 will give use the total number of toll free numbers for all 6 area codes.

Considering: 800-abc-defg

The first number "a" can take any digit from 0 to 9. So there are 10 possibilities for this place. Similarly, the second number can take any digit from 0 to 9, so there are 10 possibilities for this place as well and same goes for all the 7 numbers.

Since, there are 10 possibilities for each of the 7 places, according to the fundamental principle of counting, the total possible toll free numbers for one area code would be:

Possible toll free numbers for 1 area code = 10 x 10 x 10 x 10 x 10 x 10 x 10 = $10^{7}$

Since, there are 6 toll-free are codes in total, the total number of toll-free numbers for all 6 area codes = $6 \times 10^{7}$

4 0

3 years ago

Mr. Lopez asked kids from after school what there favorite dessert is. 15% voted for cinnamon twirls and 85% voted for jumbo coo

mafiozo [28]

85/15 is 5 2/3

so, to find 85% with 15%, you would multiply 12 (also 15%) by 5 2/3.

12*5 2/3=68.

you could also find it using the 1% method:

1% of 15 is .15.
.15*85=68.

Hope this helps!

5 0

3 years ago