The Average 12 Ounce Cola Contains 33 Grams Of Sugar. How Many Grams Of Sugar Are Contained In A 68 Ounce (2024)

By using ratio, it is obtained that if there are 8 atoms of hydrogen, there are 4 atoms of oxygen.

What is ratio?

Ratio is used to find a comparision between two quantities with the same unit

The first part of the ratio is called antecedant and the second part of the ratio is called consequent.

Here,

In a molecule of water, there are 2 atoms of hydrogen and 1 atom of oxygen

Ratio of hydrogen and oxygen = 2 : 1

Number of atoms of hydrogen = 8

Let the number of hydrogen atom be 2x and number of oxygen atom be x

By the problem,

[tex]2x = 8\\x = \frac{8}{2}\\x = 4[/tex]

Number of oxygen atom = 4

To learn more about ratio, refer to the link -

https://brainly.com/question/25927869

#SPJ1

Answer:

Step-by-step explanation:

huhhhhh

Find the derivative of the function. Remember to use logarithmic properties before differentiating.



y = x(3^2x)​

______________________________

y= u(x) v(x)

u(x) = x

v(x) = 3^2x

_____________

u'(x) = 1

____________

y = a ^f (x)

y'= f '(x) a ^f (x) (ln a)

v(x) = 3^2x

v'(x) = 2 * 3^2x* ln (3)

_______________

dy/ dx = u'(x)v(x) + u(x) v'(x)

dy/ dx = 1* 3^2x + x *2 * 3^2x* ln (3)

dy/ dx = 3^2x (1+2x* ln (3))

________________

Answer

dy/ dx = 3^2x (1+2x* ln (3))

Can you see the updates?

Do you have any questions regarding the solution?

If you don’t need further explanation on this question, we can end the session.

I want to remind you this answer will always be saved in your profile. I’d really appreciate you letting me know how I did by rating our session after you exit. Thanks and have a great day!

Answer:

40%

Step-by-step explanation:

20 x 5 = 100

8 x 5 = 40

Which means 8 out of 20 is 40% of 20.

The inequality to illustrate the information that the minimum bid was more than $20,000 is b > 20000.

What is an inequality?

Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.

Let the minimum bid be represented by b.

Since it's more than 20000, it implies that it's greater than. This will be illustrated as b > 20000.

Learn more about inequalities on:

brainly.com/question/25275758

#SPJ1

Answer:

[tex]\textsf{$\boxed{\sf No}$\;. The area of the bottom face of the prism is $(3x^2+3x-4)\; \sf ft^2$, and the product}[/tex]

[tex]\textsf{of $(3x-1)$\;ft\;and $\left(\; \boxed{2}\:x-\boxed{2}\;\right)$ ft\;is\;$\left(\; \boxed{6}\:x^2-\boxed{8}\:x+\boxed{2}\;\right)$\;ft$^2$.}[/tex]

Step-by-step explanation:

Given dimensions of a rectangular prism:

Width = (2x - 2) ftHeight = (x + 7) ftArea of the base = (3x² + 3x - 4) ft²

The area of the base of a rectangular prism is the product of the width of the base and the length of the base.

To determine if length b could be (3x - 1) ft, multiply b by the width of the base of the prism.

[tex]\begin{aligned}\implies \sf Area\;of\;base&=\sf length \times width\\&=b \times (2x-2)\\&=(3x-1)(2x-2)\\&=3x(2x-2)-1(2x-2)\\&=6x^2-6x-2x+2\\&=6x^2-8x+2\end{aligned}[/tex]

Therefore, the length of b cannot be (3x - 1) as the area of the base when b is (3x - 1) is not equal to the given area of the base.

[tex]\textsf{$\boxed{\sf No}$\;. The area of the bottom face of the prism is $(3x^2+3x-4)\; \sf ft^2$, and the product}[/tex]

[tex]\textsf{of $(3x-1)$\;ft\;and $\left(\; \boxed{2}\:x-\boxed{2}\;\right)$ ft\;is\;$\left(\; \boxed{6}\:x^2-\boxed{8}\:x+\boxed{2}\;\right)$\;ft$^2$.}[/tex]

The probability that exactly three insects will die is 0.343

Given 70% chance that an insect will die.

let A be the event that 1 insect dies.

P(A) = 0.7

The probability that the insect will not stay alive

= 1 - P(A)

= 1 - 0.7

= 0.3

Now there is a sample of 10 insects that are affected by the insecticide.

Therefore number of ways exactly 3 insects will die using binomial distribution is

= 10C3 × (0.7)³ × (0.3)⁷

= 120 × (0.7)³ × (0.3)⁷

=0.00901

≈ 0.009

Hence the required probability is 0.009 .

A probability distribution is an idealised frequency distribution. The frequency distribution of a certain sample or dataset serves as a description of it.

It is the frequency with which each conceivable value of the variable appears in the dataset. How frequently a value emerges in a sample is determined by its probability of occurrence.

To learn more about probability visit:

https://brainly.com/question/16484393

#SPJ9

Answer:

The second scale gives us a bigger drawing than the first scale.

Explanation:

Let's draw the initial scale figure with its measures in centimeters:

So, if the scale is 1 cm to 30 meters, the true length of side A will be:

[tex]A=2\operatorname{cm}\times\frac{30\text{ meters}}{1\text{ cm}}=60\text{ meters}[/tex]

In the same way, the true length of sides B and D of a playground is:

[tex]\begin{gathered} B=2\operatorname{cm}\times\frac{30\text{ meters}}{1\text{ cm}}=60\text{ meters} \\ D=4\operatorname{cm}\times\frac{30\text{ meters}}{1\text{ cm}}=120\text{ meters} \end{gathered}[/tex]

Now, if we scale the length in meters to centimeter but using the new scale 1 cm to 20 meters, we get that the new scale lengths will be:

[tex]\begin{gathered} A=60\text{ meters}\times\frac{1\text{ cm}}{20\text{ meters}}=3\text{ cm} \\ B=60\text{ meters}\times\frac{1\text{ cm}}{20\text{ meters}}=3\text{ cm} \\ D=120\text{ meters}\times\frac{1\text{ cm}}{20\text{ meters}}=6\text{ cm} \end{gathered}[/tex]

So, the new scale drawing is:

Then, we can compare both scale drawing and observe that the second scale gives us a bigger drawing than the first scale.

Answer:

1680

Step-by-step explanation:

Answer:

I guess if she is Pays the money in three years, she will pay a capital of 1500/3 per year, which is 500$ per year. The Interest she pays the first year is: I=Debt*interest rate, so I=1500$*0.04, which is: I=60$. So without other information, i assume she pays 60$ each year, so in three years: I=60*3 --> 180$.

Answer:

A is the correct answer.

Answer:2- 0.99 = 1.01

Step-by-step explanation:

2=2.00

2.00-0.99=1.01

easy

Answer:

If it is perpendicular: mperp..=-1/m, so:

mperpendicular= -6.

formula of the line passing through one point:

y-y0=m(x-x0)

so: y+2=-6(x+8)

y=-6x+48-2

y=-6x+46 is the answer

We shall consider the options one after the other before choosing the best option;

Option 1;

[tex]\begin{gathered} \text{Pack of 8 costs 3.12} \\ 1\text{ unit = }\frac{3.12}{8} \\ 1\text{ unit=0.39} \end{gathered}[/tex]

Option 2;

[tex]\begin{gathered} \text{Pack of 15 costs 6.15} \\ 1\text{ unit=}\frac{6.15}{15} \\ 1\text{ unit=0.41} \end{gathered}[/tex]

Option 3;

[tex]\begin{gathered} \text{Pack of 20 costs 7.60} \\ 1\text{ unit=}\frac{7.60}{20} \\ 1\text{ unit=0.38} \end{gathered}[/tex]

Based on the calculations above, the third option is the best deal because that would make you pay the least amount per underwear. By choosing option 3, you will end up paying $0.38 for each underwear.

Therefore, "a package of 20 costs $7.60" is the best buy.

We have the following equation

[tex]\frac{375-300}{300}\cdot100=\frac{75}{3}=25\text{ \%}[/tex]

so the percent increase is 25%

Solution:

The arithmetic sequence is given below as

[tex]19,24,29,34,...[/tex]

Step 1:

We will calculate the common difference using the formula below

[tex]\begin{gathered} d=t_2-t_1=t_3-t_2 \\ d=24-19=29-24 \\ d=5 \end{gathered}[/tex]

Step 2:

We will calculate the fifth term using the formula below

[tex]\begin{gathered} c \\ n=5,a=19,d=5 \\ t_5=19+(5-1)5 \\ t_5=19+20 \\ t_5=39 \end{gathered}[/tex]

We will calculate the sixth term using the formula below

[tex]\begin{gathered} t_n=a+(n-1)d \\ n=6,a=19,d=5 \\ t_6=19+(6-1)5 \\ t_6=19+25 \\ t_6=44 \end{gathered}[/tex]

We will calculate the seventh term using the formula below

[tex]\begin{gathered} t_7=a+(n-1)d \\ n=7,a=19,d=5 \\ t_7=19+(7-1)5 \\ t_7=19+30 \\ t_7=49 \end{gathered}[/tex]

Hence,

The next three terms of the arithmetic sequence are given below as

[tex]\Rightarrow39,44,49[/tex]

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

Let the inequality:

[tex]3\text{ }<\text{ 2x - 3}\leq\text{ 13}[/tex]

1. we add + 3 :

[tex]3\text{ +3}<\text{ 2x }\leq\text{ 13}+3[/tex]

this is equivalent to :

[tex]6<\text{ 2x }\leq\text{ 1}6[/tex]

we resolve for x ( we divide by 2) :

[tex]3<\text{ x }\leq8[/tex]

that is the interval:

[tex](3,\text{ 8}\rbrack[/tex]

on the real line, the interval is:

On the other hand, the inequality:

[tex]-2\text{ }<\frac{3+x}{4}\leq\text{ 3}[/tex]

1. Multiply by 4:

[tex]-8\text{ }<3+x\leq12[/tex]

2. Add -3:

[tex]-11\text{ }that is the interval:

[tex](-11,\text{ 9}\rbrack[/tex]

on the real line, the interval is:

Answer:

50.3 square units

Step-by-step explanation:

area of rectangle: 11 x twice the radius

radius = 2

A(rect): = 11(4) = 44 sq units

A (semi-circle) = (π·r²) / 2

A = 4π / 2 = 2π = 6.28 sq units

44.0 + 6.28 = 50.28

Answer:

68.1

Step-by-step explanation:

3.14*3²=28.26

28.26/2=14.13

3*2=6

9*6=54

54+14.13=68.13

68.1

3x+24=9

3x=9-24

3x=-15

x=-5

The coordinates of A' is (-0.5, 1)

What is Scale Factor?

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size.

Given:

A (-1,2) B(4,-3) and C (0,0)

First ABC is dilated by 0.5.

The transformation rule of this dilation is:

(x, y)--> 0.5 (x, y)--> (0.5x, 0.5y)

So, the coordinate of A' after dilation is

(-1, 2 ) --> 0.5(-1, 2)--> (-0.5 , 1)

Hence, the coordinates of A' is (-0.5, 1)

Learn more about scale factor here:

https://brainly.com/question/25619231

#SPJ1

Using the conversion method, 4.6228 meter ribbon we need for craft project.

In the given question,

For a craft project you need 182 inches of ribbon, but it is only sold by the meter.

We have to determine the amount of ribbon, in meters.

As given 1 inch = 2.54 centimeters and 1 centimeter = 0.01 meter.

Firstly we know that inches, meters and centimeters all are units to measure the length.

Since we know that in 1 inch have 2.54 centimeters and 1 centimeters have 0.01 meter.

So we firstly convert the 2.54 centimeters in meter.

1 centimeter = 0.01 meter

2.54 centimeter = 2.54×0.01 meter

2.54 centimeter = 2.54×0.01 meter

2.54 centimeter = 0.0254 meter

So we can say that

1 inch = 0.0254 meter

We have to by 182 inches of ribbon. So

182 inches = 0.0254×182 meters

182 inches = 4.6228 meters

Hence, 4.6228 meter ribbon we need for craft project.

To learn more about conversion of inch and meters link is here

https://brainly.com/question/23665317

#SPJ1

Simplifying,

[tex]\begin{gathered} ((5+2i)^2-2)i\rightarrow(25+20i+4i^2-2)i\rightarrow(23+20i-4)i \\ \\ \rightarrow(19+20i)i\rightarrow19i+20i^2\rightarrow-20+19i \end{gathered}[/tex]

The expression given is;

[tex]\begin{gathered} 7y+21 \\ \text{The equivalent is;} \\ =7(y+3) \\ We\text{ use 7 to factor both sides of the expression, hence} \\ \frac{7y}{7}=y \\ \text{And} \\ \frac{21}{7}=3 \\ \text{Therefore, the answer is } \\ 7(y+3) \end{gathered}[/tex]

The correct answer is option C

Answer:

1.09

Step-by-step explanation:

25/23 is the same thing as 25 divided by 23

Once you get answer round to nearest hundreth

a) The proportional relationship is: M = 2.4R.

b) The graph of the proportional relationship is given by the first image at the end of the answer, and they would raise $2,400 selling 1000 tickets.

3. The slope of the function, and the relation with the graph, is as follows:

Greater than 1: Significant vertical increase.Equal to 1: Inclination of 1.Less than 1: Significant horizontal increase.

4. The graph is given by the second image at the end of the answer.

What is a linear function?

The slope-intercept representation of a linear function is given as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

m is the slope of the function, representing the change in the output variable y when the input variable x increases by one, and the higher it's value, the higher the vertical increase of the function.b is the y-intercept of the function, which is the initial value of the function, that is, it's value when the function crosses the y-axis.

A proportional relationship is a linear function with intercept zero, hence it is given as follows:

y = mx.

Item a states that the students collect $24 for selling 10 raffles, hence the slope is:

m = 24/10 = 2.4.

Hence the equation is:

M = 2.4R.

If they sold 1000 tickets, the amount they would raise is of:

y = 2.4 x 1000 = $2,400.

The domain of this graph excludes negative values, as the number of raffles sold cannot be negative.

The function for item 4 is:

y = 3/11(x - 2).

Hence the intercepts are:

x-intercept (2,0).y-intercept (0, -6/11).

The graph connecting these poins is the second one at the end of the answer.

Missing Information

The text before item a is:

The students collect $24 for selling 10 raffles.

More can be learned about proportional relationships at https://brainly.com/question/10424180

#SPJ1

Answer: 5.3

Step-by-step explanation:

[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]

Given:

• Profit per camera = $186

,

• Cost of replacing the camera = $3100

,

• Probability it will be replaced once = 4% = 0.04

,

• Probability it will be replaced twice = 1% = 0.01

,

• Probability it will not be replaced = 95% = 0.95

Now, let's determine if the company should expect to make money or lose money from selling the camera.

Let's find the expected cost of repair.

We have:

E = (0.04 x 3100) + (0.01 x 2 x 3100) + (0.95 x 0)

E = 124 + 62 + 0

E = 186

Therefore, the expected cost of repair is $186.

We can see the profit per camera and the expected cost of repair are the same.

Profit per camera = Expected cost of repair

Since they are equal, the company should expect to neither make nor lose money from selling these cameras.

ANSWER:

Brady & Matthew should expect to neither make nor lose money from selling these cameras.

The measure of angle 4 is 72°

We can observe that we have been given two parallel lines intersected by a transversal.

We need to find the measure of angle 4.

We can observe that angle which measures 72 degrees angle 4 are corresponding Angles.

We know that the Corresponding Angles are congruent.

Therefore, the measure of angle 4 is 72°

Learn more about the Corresponding Angles here:

https://brainly.com/question/1597341

#SPJ1