NEED EVIDENCE NOT JUST ANSWER There are 540 grams of sugar in 5 liters of soda. how many grams of sugar are in 3 liters of soda?​

Answers

Answer 1
Answer:  324 grams

Work Shown:

(540 grams sugar)/(5 liter soda) = (x grams sugar)/(3 liter soda)

540/5 = x/3

540*3 = 5*x

1620 = 5x

5x = 1620

x = 1620/5

x = 324

3 liters of soda has 324 grams of sugar


Related Questions

What is the lateral area of the prism? What is the surface area of the prism?

Answers

Answer:

Lateral surface area=perimeter×Height

Total surface area=Perimeter (p)×Height(h)+2×Area of cross section

PLEASE HELP I WILL GIVE BRAINLIEST IF CORRECT ​

Answers

I belive the correct answer would be A because if M and N are the signatures it would make sense to add them. Multiply the signatures by the days, and you have your self an equation. So because we added the first two... Nikkis's petition is still the same so we would have to add hers to M again leaving you with the equation of A.

Hope this helps :)

Find the area please!!!

Answers

Answer:

32.24

Step-by-step explanation:

To get the height, use Pythagoras theorem on the smaller triangle

8^2=2^2+x^2

x^2=64-4

x=√60=2√15.

then for the base use P.T for the bigger triangle

10^2=y^2+√60^2

y^2=100-60

y=√40=2√10

1/2×(2√10+2)×2√15

=32.24

Need help math problem

Answers

Answer:

Question 16: 44 inches

Question 18: 10, 24, 26

Step-by-step explanation:

Question 16:

Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side.

125^2 = 117^2 + b^2

15,625 = 13,689 + b^2

15,625 - 13689 = b^2

1936 = b^2

√1936 = b

44 = b

Question 18:

Pythagoras Theorem: c^2 = a^2 + b^2, where c is the hypotenuse and the longest side. You have to try all the possibilities. The ones that match are the lengths.

The answers are 10, 24, 26

c^2 = a^2 + b^2

26^2 = 10^2 + 24^2

676 = 100 + 576

676 = 676

Trevor has an investment worth $6,774.50. he made his only deposit in it 22 years ago. given that the investment yields 2.7% simple interest annually, how big was the initial deposit? a. $2,524.50 b. $4,024.03 c. $4,250.00 d. $11,404.88 please select the best answer from the choices provided a b c d

Answers

Answer:

c. 4,250.00

Step-by-step explanation:

The initial deposit amount is $4,250.00.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that,

The worth of an investment is $6774.50

The time period is 22 years.

The rate of interest is 2.7%.

Now, Based on the above information, the calculation is as follows:

We know that;

SI = P x r x t

SI = P x 2.7% x 22

SI = 0.594P

Now,

Investment worth = P  + SI

= P + 0.594P

= 1.594P  

So, we get;

1.594P  = 6774.50

P  = $4,250  

Therefore, we can conclude that the initial deposit amount is,

⇒ $4,250.00

Learn more about the Interest visit:

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the graphs of the functions f(x)=|x-3| + 1 and G(x)=2x + 1 are drawn. which statement about these functions is true?
A: The solution to f(x)=g(x) is 3
B: The solution to f(x)=g(x) is 1
C: The graphs intersect when Y=1
D: The graphs intersect when X=3

Answers

The only true statement that compares the two functions is:

B: The solution to f(x)=g(x) is 1

Which statements are correct?

Here we have the functions:

f(x) = |x - 3| + 1

g(x) = 2x + 1

First, let's find the solution for:

f(x) = g(x)

|x - 3| + 1 = 2x + 1

|x - 3| = 2x

Notice that we have two options, x = 3:

|3 - 3| = 2*3

0 = 6  (x = 3 is not a solution)

And x = 1:

|1 - 3| = 2*1

2 = 2  (x = 1 is a solution).

Now to get the y-value where the graphs intersect, we just evaluate one of the functions in the solution we found above;

f(1) = |1 - 3| + 1  = 2 + 1 = 3

The graphs intersect when y = 3.

Then we conclude that the only true statement is:

B: The solution to f(x)=g(x) is 1

If you want to learn more about systems of equations, you can read:

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HELP NEEDED NOW/ASAP PLS NO LINKS AND NO JOCKING.
AND PLS SHOW UR WORK IF POSSIBLE

evaluate (-3 1/3)^2

Answers

[tex]\\ \rm\Rrightarrow (-3\dfrac{1}{3})^2[/tex]

[tex]\\ \rm\Rrightarrow (\dfrac{-10}{3})^2[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{(-10)^2}{3^2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{100}{9}[/tex]

[tex]\\ \rm\Rrightarrow 11\dfrac{1}{9}[/tex]

Answer:

100/9 (or) 11 1/9

Step-by-step explanation:

Q) (-3 1/3)² = ?

→ (-3 1/3)²

→ (-10/3)²

→ 100/9

→ [ 11 1/9 ]

Hence, the solution is 11 1/9.

A solid wooden post in the shape of a right rectangular prism measuring 10 cm by 12
cm by 30 cm is drilled with a cylindrical hole of radius 2 cm. Find the volume of the
post after the hole has been drilled. Round your answer to the nearest tenth if
necessary?

Answers

The volume of the post = volume of rectangular prism - volume of cylindrical hole = 3,223.0 cm³.

What is the Volume of a Rectangular Prism?

Volume = (l)(w)(h)

What is the Volume of a Cylinder?

Volume = πr²h

Volume of the post = volume of rectangular prism - volume of cylindrical hole

= (l)(w)(h) - πr²h

= (10)(12)(30) - π(2²)(30)

Volume of the post = 3,223.0 cm³

Learn more about volume of rectangular prism on:

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A jar contains nine black buttons and four brown buttons. If nine buttons are picked

at random, what is the probability that all of them are black?

Answers

Answer:

9/13

Step-by-step explanation:

Total = 9 + 4

= 13

Probability: 9/13

Which deal is better $1.95 for 5 kg or $0.96 for 2 kg

Answers

Answer:

$1.95 for 5kg

Step-by-step explanation:

0.96 x2 is 1.92 and not even 5kg so if you get 5kg worth of the 0.96$ per kg then it will be more expensive.

So $1.95 for 5kg is the better deal.

Sorry if the photo is bad :)

Answers

So, before solving further, let's recall that, a deck of card have 52 cards, with 26 black cards, and 26 red cards, out of which, let's first consider red cards,so 13 of 26 are heart, and the other 13 out of 26 is diamond, now let's consider the black cards, so 13 of 26 black cards are spades and the other 13 out of 26 black cards are clubs, every type have an ace card, and 9 cards numbering from 2-10 and three face cards naming, queen, king and Jack. And the probability of any event is defined as the ratio of no. of favourable outcomes to Total no. of possible outcomes, so let's stary solving all the parts one by one :

7) [tex]{:\implies \quad \sf P(Red\:\:card)=\dfrac{26}{52}}[/tex]

[tex]{:\implies \quad \boxed{\bf{P(Red\:\:card)=\dfrac12}}}[/tex]

8) [tex]{:\implies \quad \sf P(Jack\:\:of\:\:diamonds)=\dfrac{1}{52}}[/tex]

[tex]{:\implies \quad \boxed{\bf{P(Jack\:\:of\:\:diamonds)=\dfrac{1}{52}}}}[/tex]

9) [tex]{:\implies \quad \sf P(Ace)=\dfrac{4}{52}}[/tex]

[tex]{:\implies \quad \boxed{\bf{P(Ace)=\dfrac{1}{13}}}}[/tex]

10) [tex]{:\implies \quad \sf P(A\:\:black\:\:10)=\dfrac{2}{52}}[/tex]

[tex]{:\implies \quad \boxed{\bf{P(A\:\:black\:\:10)=\dfrac{1}{26}}}}[/tex]

11) [tex]{:\implies \quad \sf P(A\:\:heart)=\dfrac{13}{52}}[/tex]

[tex]{:\implies \quad \boxed{\bf{P(A\:\:heart)=\dfrac14}}}[/tex]

12) [tex]{:\implies \quad \sf P(Not\:\:a\:\:club)=\dfrac{39}{52}}[/tex]

[tex]{:\implies \quad \boxed{\bf{P(Not\:\:a\:\:club)=\dfrac34}}}[/tex]

Simplify.
(7sqrt(2))(3sqrt(3))

A sqrt(14) * sqrt(9)
B. 10sqrt(5)
C. 21sqrt(6)
D. 10sqrt(6)
E. 63

Answers

Answer:

21sqrt(6)

Step-by-step explanation:

Hope it helps......

Michael is studying two number patterns. Pattern A starts at 0 and has the rule "add 4. " Pattern B starts at 0 and has the rule "add 2. " What is the relationship between corresponding terms in the two patterns?


The terms in Pattern B are one half the corresponding terms in Pattern A.

The terms in Pattern B are one fourth the corresponding terms in Pattern A.

The terms in Pattern B are 4 times the corresponding terms in Pattern A.

The terms in Pattern B are 2 times the corresponding terms in Pattern A

Answers

Answer:

B

Step-by-step explanation:

please mark brainliest

Find the mean
X. 10 20 30 40 50 60
F. 4 5 6 2 3 5​

Answers

Answer:

Mean:To find the mean, you must add all the given numbers in your data then divide the sum of that by the many numbers you added together.

X.

10, 20, 30, 40, 50, 60

Add them:

10 + 20 + 30 + 40 + 50 + 60

= 210

Then divide that sum by the many numbers there are, and there are 6 numbers in which we added.

210 ÷ 6

= 35, the mean for this is 35.

F.

4, 5, 6, 2, 3, 5

Add them:

4 + 5 + 6 + 2 + 3 + 5

= 25

Then divide that sum by the many numbers there are, and there are 6 numbers in which we added.

25 ÷ 6

= 4.1666..., the mean for this is 4.17.

3sqrt x =x-4
[tex]3 \sqrt{x} = x - 4[/tex]
solve for x​

Answers

Answer:

x = 16

Step-by-step explanation:

3√x = x - 4

Raise the equation to the second power.

(3√x)² = (x - 4)²

9x = x² - 8x + 16

Rewrite the equation with the values on the left.

-x² + 17x - 16 = 0

x² - 17x + 16 = 0

Factor.

(x - 16)(x - 1) = 0

Set each part equal to 0.

x - 16 = 0

x = 16

x - 1 = 0

x = 1

Your solutions are 16 and 1, but it doesn't end there. Both of these may not satisfy the original equation, so plug them back in.

3√x = x - 4

3√16 = 16 - 4

3(4) = 12

12 = 2

16 is a solution.

3√x = x - 4

3√1 = 1 - 4

3(1) = -3

3 ≠ -3

1 is NOT a solution.

Which is f(5) for the function –2x2 2x – 3? –107 –63 –43 –37

Answers

Answer:

- 43

Step-by-step explanation:

f ( x ) = - 2x² + 2x - 3

To find : f ( 5 )

f ( 5 ) = f ( x )

Here,

x = 5

f ( 5 ) = - 2x² + 2x - 3

        = - 2 ( 5 )² + 2 ( 5 ) - 3

        = - 2 ( 25 ) + 10 - 3

        = - 50 + 7

f ( 5 ) = - 43

     

Answer:

-43

Step-by-step explanation:

oon edge

mark me brain

What is the volume of a right rectangular prism with a length of 4.8 meters, a width of 23 meters, and a height of 0.9 meters?
A.4.968 m
B.9.936 m
C.11.94 m
D.34 86 m

Answers

Answer:

Volume of prism = Area of base× height

= l×b×h

=4.8×23×0.9

= 99.36 m³

All options are incorrect : )

Answer:

The answer is B

Step-by-step explanation:

Im 3 weeks late lol sorry. I took the quiz.

The distance it takes a car to come to a complete stop after the brakes are applied is related to the speed that the car is traveling. the stopping distances and speeds are shown in the table below. stopping distance of a car vs. speed stopping distance, d (in feet) speed, s (in miles per hour) 20 17.89 40 25.30 60 30.98 80 35.78 100 40.00 which equation best represents the data in the table? s = 4 startroot d endroot s = 0.37 d 20 s = 13.7log(d) s = startfraction 1 over 25 endfraction d squared

Answers

Answer:

The answer is (A.)

Step-by-step explanation:

Answer: A on edge 22

Step-by-step explanation:

A landscaping company uses a mixture of 20 pounds of grass seed and 356 pounds of fertilizer when reseeding a customer's lawn.

How many pounds of fertilizer will the company need for each pound of grass seed?

O A. 20

O B. 5. 6

O C. 16. 0

D. 17. 8

Answers

Answer:

D

Step-by-step explanation:

for 20 pounds of grass seed, we need 356 pounds of fertilizer

20 pounds of grass seed : 356 pounds of fertilizer

divide both sides by 20 to get 1 pound of grass seed on one side, as we want to figure out the corresponding amount of fertilizer for 1 pound of grass seed

20 pounds of grass seed/20 : 356 pounds of fertilizer/20

1 pound of grass seed: 17.8 pounds of fertilizer

NEED HELP PLEASE!!!!

Answers

The expressions are equivalent.

[tex] \sqrt{ \frac{2x}{9} } = \frac{ \sqrt{2x} }{ \sqrt{9} } = \frac{ \sqrt{2x} }{3} = \frac{1}{3} \sqrt{2x} \\ [/tex]

Sadie is saving for a new car. Below is the total amount of money in her savings account on the last day of each month. Show all steps to find the mean amount of money Sadie saves each month. Round your answers to the nearest cent.

Answers



The mean is 10,724.28.



Explanation:


The mean is all of the values divided by the number of values there are.

So what you have to do is add all of the numbers and divide it by the amount of numbers there are.


10,150+10,211+10,424+10,769+10,884+11,155+11,477= 75,070.


Since there are 7 numbers, divide 75,070/7 and you get your mean, which is 10,724.28 rounded.


How many sets of three consecutive integers are there whose sum is between 51 and 60?

Answers

Answer:

4 sets

Step-by-step explanation:

16 + 17 + 18 = 51

17 + 18 + 19 = 54

18 + 19 + 20 = 57

19 + 20 +21 = 60

Please help me asap with my grade 11 trigonometry math! I'll give brainliest, please help, thank you. *URGENT*

Answers

Answer:

Around 295m

Step-by-step explanation:

Answer:

295.44 m to the neaest hundredth

Step-by-step explanation:

A line drawn from the kite  perpendicular to the ground forms 2 right triangles. Let this  line be x m.

Also let y be the distance from Allison to the bottom of the line.

Consider 'Alison' triangle

cos 70 = y/150

y = 51.303 m

sin 70 = x/150

x = 150 sin 70 = 140.954 m

Consider 'Marcs' triangle

tan 30 = x / (AM - y)

tan 30 = 140.954 / (AM - 51.303)

AM - 51.303 =  140.954/tan 30

AM =  140.954/tan 30 + 51.303

AM = 295.442  m

pls help the question is here (12points) DUE TO DAY

Answers

Answer:

[tex]\bf Area= 90\;in[/tex]

Step-by-step explanation:

Area of ABCD = L * W

[tex]\bf 6\times 12[/tex]

[tex]\bf 72 \;in^2[/tex]

Area of EFGC:- L * W

[tex]\bf 6 \times 3[/tex]

[tex]\bf 18\; in^2[/tex]

Now, the area of the combind rectangles:-

ABCD + EFGC

[tex]\bf 72+18[/tex]

[tex]\boxed{\bf 90\; in}[/tex]

∣x−7∣<9 what is the answer

Answers

Answer:

x < 16

Step-by-step explanation:

∣x−7∣ < 9

x < 9 + 7

x < 16

Answer:

7x < 9

Step-by-step explanation:

because the absolute value of -7 is 7 and 7 + x = 7x.

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x 1 out of a larger piece of paper. which expression can be used to find the perimeter of the rectangle and what is the perimeter if x = 4? (5x−2) (3x 1); 31 centimeters (5x−2) (3x 1); 36 centimeters 2(5x−2) 2(3x 1); 62 centimeters 2(5x−2) 2(3x 1); 70 centimeters

Answers

The expression that can be used to find the perimeter of the rectangle is 62 centimeters 2(5x−2)+2(3x+1).

What is the perimeter of the rectangle?

The perimeter of the rectangle is equal to the 2 times sum of the length and width of the rectangle.

Zohar is using scissors to cut a rectangle with a length of 5x – 2 and a width of 3x + 1 out of a larger piece of paper.

The expression that can be used to find the perimeter of the rectangle is given by;

[tex]\rm Perimeter \ of \ rectangle = 2 (length +width)\\\\\rm Perimeter \ of \ rectangle = 2 (5x-2+3x+1)\\\\ \rm Perimeter \ of \ rectangle = 2 (7x-1)\\\\ \rm Perimeter \ of \ rectangle = 16x-2\\\\When , x\ =\ 4\\\\ \rm Perimeter \ of \ rectangle = 14x-2\ = 16(4)-2\ =\ 64-2\ =\ 62\\[/tex]

Hence, the expression that can be used to find the perimeter of the rectangle is 62 centimeters 2(5x−2)+2(3x+1).

To know more about the perimeter of the rectangle click the link given below.

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PLEASE HELP!!

it’s multiple choice but i never get any of the answers.

differentiate y=x^(e^x)


Answers

We are given the function to differentiate:

[tex]{\quad \qquad \sf \rightarrow y=x^{e^x}}[/tex]

Do take natural log on both sides, then we will be having

[tex]{:\implies \quad \sf ln(y)=ln(x^{e^{x}})}[/tex]

[tex]{:\implies \quad \sf ln(y)=e^{x}ln(x)\quad \qquad \{\because ln(a^b)=bln(a)\}}[/tex]

Now, differentiate both sides by using so called chain rule and the product rule

[tex]{:\implies \quad \sf \dfrac{1}{y}\dfrac{dy}{dx}=e^{x}ln(x)+\dfrac{e^x}{x}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\dfrac{dy}{dx}=x^{e^x}\bigg\{\dfrac{e^x}{x}+ln(x)e^{x}\bigg\}}}}[/tex]

Hence, Option B) is correct

Product rule of differentiation:

[tex]{\boxed{\bf{\dfrac{d}{dx}(uv)=u\dfrac{dv}{dx}+v\dfrac{du}{dx}}}}[/tex]

Where, u and v are functions of x

Find the volume of the cylinder.
Either enter an exact answer in terms of pi or use 3.14 for pi

Answers

Volume of cylinder,=πr²h

(22÷7)×5²×3

3.14×25×3

235.5

Answer :

235.5 units³


If you borrow $500 at 5% for two years, how much will you pay backboy the end of the term?

Answers

Principal=P=500Rate of interest=R=5%Time=T=2

Interest be I

I=PRT/100I=500(5)(2)/100I=5²(2)I=25(2)I=$50

Total:-

P+I500+50$550

Bertha bought a cake that weighs 7 kilograms. Jessup's cake weighs 6,537 grams.

A. Jessup’s cake weighs more than Bertha’s cake.
B. The expression 7 x 1,000 can be used to find the weight of
Bertha’s cake in grams.
C. Bertha’s cake weighs 463 grams more than Jessup’s cake.
D. Jessup’s cake weighs more than 6 kilograms.

Answers

The answer is C- Berthas cake weighs 463 grams more than Jessups cake
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