The weight of 3 cans of juice and 2 energy bars is 33.6 ounces. Four energy bars and two cans of juice weigh 27.2 ounces. How much does one energy bar weigh?

Answers

Answer 1

Answer:

1.8 ounces

Step-by-step explanation:

Let :

⇒ weight of a can of juice = x

⇒ weight of an energy bar = y

=============================================================

Equations formed :

3x + 2y = 33.64y + 2x = 27.2

============================================================

Multiply Equation 1 by 2 :

⇒ 2 × (3x + 2y) = 2 × 33.6

⇒ 6x + 4y = 67.2 [Equation 3]

===========================================================

Subtract : Equation 3 - Equation 2

⇒ 6x + 4y - 4y - 2x = 67.2 - 27.2

⇒ 4x = 40

⇒ x = 10

===========================================================

Finding the weight of an energy bar :

⇒ 3(10) + 2y = 33.6

⇒ 2y = 3.6

⇒ y = 1.8 ounces


Related Questions

What do you think are the biggest advantages & disadvantages regarding the kind of technology we have access to in the early 21st century?

Answers

The advantages and disadvantages of the kind of technology we have access to in the early 21st century include:

Advantages:

The improvement of productivity.

Better and easier communication between people.

Disadvantages:

Can be bad for the environment.

Technology might be able to replace humans in jobs.

What is technology?

Technology is the result of accumulated knowledge and the application of skills, and processes used in industrial production and scientific research.

Technology is embedded in the operation of all machines for the intended purpose of an organization.

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Help PLS ASAP!!!!!!!!!!!!

Answers

Answer:

The answer is

" THe middle triangle is scalene"

and "the right and left triangle are isosceles"

Step-by-step explanation:

This is because B, and D are wrong.

B is wrong because all three sides are different lengths

D is wrong because the right and left triangles are not equalateral

give brainliest please!

hope this helps :)

The middle triangle is scalene

The right and left triangles are isosceles

Kurt and Courtney are playing basketball. Kurt makes 2 baskets in the first game and 4 baskets in each game after that. Courtney makes 4 baskets in the first game and 2 baskets in each game after that. The table below shows the number of baskets each made in the first 4 games. Which graph shows the ordered pairs of the total number of baskets each has made after each game?

Answers

Answer:

Kurt 10    Courtney 10    Mark brainiest

Step-by-step explanation:

I did this too

Answer:

they each have 10 if you count     mark me brainiest, please

Step-by-step explanation:

ASAP! HELP!!!
2. Quadrilateral PQRS is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show all your work.

Answers

The measure of each of the angles ∠P,∠Q,∠R, ∠S are 45°,72°,135° and 98° respectively.

What is quadrilateral ?

A quadrilateral is a polygon having four sides. The measure of the opposite angle of quadrilateral inside circle is 180°.

From the figure:

∠P=x+15

∠Q=3x-8

∠R=?

∠S=3x+8

∠Q+∠S=180

3x-8+3x+8=180

6x=180

x=30°

∠P+∠R=180°

x+15+∠R=180

30+15+∠R=180

∠R=180-45

∠R=135°

∠P=30+15=45

∠Q=3x-8=3(30)-8=72

=135

∠S=3x+8=3(30)+8=98

Hence,the measure of each of the angles ∠P,∠Q,∠R, ∠S are 45°

,72°,135° and 98°.

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pls help would be appreciated

Answers

Answer:

Step-by-step explanation:

for 1

area=2x×3x=6x²

for 2

l=3x+2x=5x

b=2x

area=5x×2x=10x²

total area=6x²+10x²=16x²

Draw the graph of the equation 2x+3y-6=0 and determine from the graph whether x=3, y=0 is a solution or not. Also from the graph, find the value of x when y=4.​

Answers

Answer :-

Please see the attachment for the solution.

Step-by-step explanation :-

Points to remember while making these questions

Always try to find the value of x.Put different value in the y to get x.Try to use substitution method.Always make the table after substituting the values.

METHODS FOR SOLVING LINEAR EQUATION:

1. ELIMINATION METHOD :-

The elimination method is the process of removing the variable from the system of equations, whereas the substitution method is the process of replacing a variable with a value to find the solution for the system of equations.

2. SUBSTITUTION METHOD :

For instance, the system of two equations with two unknown values, the solution can be obtained by using the below steps. Here, the list of steps is provided to solve the linear equation. They are

Simplify the given equation by expanding the parenthesisSolve one of the equations for either x or ySubstitute the step 2 solution in the other equationNow solve the new equation obtained using elementary arithmetic operationsFinally, solve the equation to find the value of the second variable

This figure represents a small collectible box. Vicki wants to cover 45 of the surface with glitter.

How much of the total surface will be covered with glitter?

Enter your answer as a decimal or mixed number in simplest form in the box.

cm²

Right trapezoidal prism. The height of the trapezoid base is labeled 4 centimeters. The larger base is labeled 6 and 1 half centimeters, and the shorter base is 5 and 1 fourth centimeters. The two legs of the trapezoid are labeled 4 centimeters and 4 and 1 fifth centimeters. The height of the prism is labeled 9 centimeters.

PLease helpppp!! only have 2 minutesd

Answers

Answer:

181.24

Step-by-step explanation:

The total surface area of the Trapezoidal Prism to be covered is: 181.24 cm².

What is the Surface Area of a Trapezoidal Prism?

Surface Area = 2(area of trapezoid) + area of the 4 rectangular faces.

Area of Rectangle 1 = length × width = 9 × 4 = 36 cm²

Area of Rectangle 2 = length × width = 9 × 5 1/4 = 47.25 cm²

Area of Rectangle 3 = length × width = 9 × 4 1/5 = 37.8 cm²

Area of Rectangle 2 = length × width = 9 × 6 1/2 = 58.5 cm²

Area of the two trapezoids = 2[1/2(a + b)h] = 2[1/2(6½ + 5¼)4] = 47 cm²

Surface area = 36 + 47.25 + 37.8 + 58.5 + 47 = 226.55 cm²

Total surface that will be covered = 4/5(226.55) = 181.24 cm²

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what is common ratio? 1,-1.5,2.25,-3.375

Answers

The common ratio of the sequence is -1.5

How to determine the common ratio?

The sequence is given as:

1,-1.5,2.25,-3.375

Divide the second term by the first to determine the common ratio (r)

r = T2/T1

This gives

r = -1.5/1

Evaluate

r = -1.5

Hence, the common ratio of the sequence is -1.5

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7. What are the x- and y-intercepts for -x + 2y = 8?
O
A. x-intercept =-8; y-intercept = 4
O
B. x-intercept = 4; y-intercept = 8
O
C. x-intercept = 4; y-intercept = -8
O D. x-intercept = 8; y-intercept = -4

Answers

Answer:

the answer

Step-by-step explanation:

the answer is A

Jim is designing a seesaw for a children's park. The seesaw should make an angle of 30° with the ground, and the maximum height to which it should rise is 1 meter, as shown below:

A seesaw is shown with one end on the ground and the other in the air. The seesaw makes an angle of 30 degrees with the ground. The height of the seesaw from the ground, at the other end, is labeled 1 meter.

What is the maximum length of the seesaw?

Answers

Using the slope concept, it is found that the maximum length of the seesaw is of 1.73 meters.

What is a slope?

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

The vertical change is of 1 m.The horizontal change is the length l.The angle is of 30º.

Hence:

tan(30º) = 1/l

l = 1/tan(30º)

l = 1.73.

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Pls help me with my math

Answers

Answer:a

Step-by-step explanation:Bottom line includes the end point so should be less than or equal. Top line does not so should be greater than

A multiple-choice examination has 10 questions, each with four possible answers, only one of which is correct. Suppose that one of the students who takes the examination answers each of the questions with an independent random guess. What is the probability that he answers at least six questions correctly?​

Answers

Answer:

[tex]0.0197277[/tex]

Step-by-step explanation:

Consider the random variable X 

Where X denotes the number of (success/having a correct answer)

in 10 identical and independent trials .

then

X follows the Binomial distribution with parameters 

10 and  p = p(success) = 1/4

[tex]p\left( X\geq 6\right) =\sum^{10}_{k=6} p\left( X=k\right)[/tex]

               [tex]=\sum^{10}_{k=6} C^{k}_{10}\left( \frac{1}{4} \right)^{k} \left( \frac{3}{4} \right)^{10-k}[/tex]

               [tex]=\frac{20686}{2^{20}} \\= 0.0197277[/tex]

círculo de diámetro de 9 cm calcular radio perímetro y area doy corona​

Answers

Answer:

Radio
r=4.5cm

Area
63.62cm2

Perímetro
C≈28.27cm

NEED HELP
(8.02-8.05)

Solve the systems of equations below using the method indicated in each part of the table. Be sure to show ALL your work for each method in order to get full points! (15 points)

Answers

The solutions to the systems of equations are:

1. (2, 3) (see attachment below). [one solution]

2. no solution

3. (3, 13) [one solution]

Solution to a System of Equations?

The solution to a system of equations is the x-value and y-value that will make both equations true. It can be found either using a graph, by elimination method, or substitution method as explained below.

1. Using graph to solve y = 2x - 1 and y = 4x - 5:

The solution is the point where both lines intersect which is: (2, 3) (see attachment below). [one solution]

2. Solving using substitution method:

x = -5y + 4 ---> eqn. 1

3x + 15y = -1 ---> eqn. 2

Substitute x = -5y + 4 into eqn. 2

3(-5y + 4) + 15y = -1

-15y + 12 + 15y = -1

-15y + 15y = -1 - 12

0 = -13 (this shows that there is no solution)

3. Using elimination method:

14x = 2y + 16 ---> eqn. 1

5x = y + 2 ---> eqn. 2

1(14x = 2y + 16)

2(5x = y + 2)

14x = 2y + 16 ----> eqn. 3

10x = 2y + 4 -----> eqn. 4

Subtract

4x = 12

x = 12/4

x = 3

Substitute x = 3 into eqn. 2

5(3) = y + 2

15 = y + 2

15 - 2 = y

13 = y

y = 13

The solution is: (3, 13).

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• (4,0)
•(0,4)
•(1,3)
•(3,1)​

Answers

Answer:

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Step-by-step explanation:

find the length of the third side round to the nearest tenth if needed . 24 10

Answers

Answer:

the length of the third side is 26

Step-by-step explanation:

By Pythagoras theorem

AC² = AB² + BC²

AC² = 10² + 24²

AC² = 100 + 576

AC² = 676

AC = √676

AC = 26

name the marked angle two different ways

Answers

tbh I have no Idea ask your mother

I don’t know how to solve

Answers

Answer:

line it, then try to add each number going from the top, my mother gave me that advice before, it works (:

Step-by-step explanation:

Answer:

X go's first then Y

Step-by-step explanation:

I did this before and got 100% promise and mark me brainiest

Can someone explain how to get the answer I’m confused on how to solve

Answers

Answer:

x=29

Step-by-step explanation:

The square notation indicates 90 degrees.

90=(x+3)+(x-1)+(x+1)

90=3x+3

87=3x

x=29

Answer:

x = 29

(x + 3)° = 32°

(x - 1)° = 28°

(x + 1)° = 30°

Step-by-step explanation:

(x + 3)° + (x - 1)° + (x + 1)° = 90°

-> (x + x + x +3 -1 + 1)° = 90°

-> (3x + 3)° = 90°

-> 3x + 3= 90

-> 3x = 90 - 3

-> 3x = 87

-> x = 87/3

-> x = 29

-> (x + 3)° = (29 + 3)° = 32°

-> (x - 1)° = (29 - 1)° = 28°

-> (x + 1)° = (29 + 1)° = 30°

The White Russian cocktail contains vodka, Tia Maria and milk in the ratio of 5:2:3. To make the cocktail for a party the barman used 180ml of milk. What was the total volume of the cocktail? If this was served in 60ml glasses, how many glasses would it serve?

Answers

Answer:

1) 600cm^3            2) 10 glasses

Step-by-step explanation:

x = total amount in ml

(3/10)x = 180ml (MILK)

x = 600ml

(2/10)600 = 120ml (TIA MARIA)

(1/2)600 = 300ml (VODKA)

1) 600cm^3

2) 600ml : 60ml = 10 (GLASSES)

Simplify the expression (7 + 9i)(8 - 10i)

Answers

The simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

How to simplify the expression?

The expression is given as:

(7 + 9i)(8 - 10i)

Expand the bracket

7 * 8 + 9i * 8 -7 * 10i - 9i * 10i

Evaluate the products

56 + 72i -70i - 90(i²)

Evaluate the difference

56 + 2i - 90(i²)

In complex numbers;

i² = -1

So, we have:

56 + 2i - 90(-1)

Evaluate

56 + 2i + 90

Add the like terms

146 + 2i

Hence, the simplified expression of (7 + 9i)(8 - 10i) is 146 + 2i

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1. Sue made a cookie cake for her friend's birthday. The diameter is 8 inches. The area of the cake is
inches² (round to the nearest hundredths place)

Answers

Answer:

50.24 inches^2

Step-by-step explanation:

D=8 inches, r=D/2, r=8/2=4 inches

Area of circle= πr^2

=3.14×4×4

=3.14×16

=50.24

Does the equation xy + 6y = 9 define y as a function of x?
O Yes
O No

Answers

Answer:

no. a function doesnt contain an = sign

Step-by-step explanation:

Answer:

Yes, it is a function.

Explanation:

xy + 6y = 9

y(x + 6) = 9

y = 9/(x + 6)

It is a inverse variation function.

Where equation: xy = k               ["k" is constant]

Each value of x corresponds to a single value of y.

These equations represent the number of bacteria in four different dishes as a function of time, t, in days. Which equation represents the population with the greatest growth factor (also called common factor)?


SOMEONE ANSWER THIS ANS YOU’LL EARN FREE EASY POINTS FOR GIVING ME THE RIGHT ANSWER!!

Answers

The growth factor:

   ⇒ is the base in the exponent:

       ⇒ the larger it is ⇒ the greater the growth factor is!

Let's Analyze our choices:

c(t)'s growth factor: 5/2a(t)'s growth factor: 5/6d(t)'s growth factor: 3b(t)'s growth factor: 1/50

The greatest growth factor is 3

Answer: d(t)

Hope that helps!

if a person paid rs 32 as VAT to buy an article of cost Rs 2750 then how much money he /she pay? find it​

Answers

The total amount paid for the article is Rs2782

How to determine the amount paid?

The given parameters are:

Article = Rs 2750

VAT = Rs 32

The amount paid is calculated using:

Amount = Article + VAT

This gives

Amount = 2750 + 32

Evaluate

Amount = 2782

Hence, the total amount paid for the article is Rs2782

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I have 23 hundredths and 12 tenths. Who am I? Convince by using Base 10 Blocks

Answers

Answer:

1.43

Step-by-step explanation:

12 tenths ⇒ 1.2

23 hundredths ⇒ 0.23

0.23 + 1.2 = 1.43

If 5 apples cost $1.15, find the cost of 16 apples

Answers

Answer:

3.68$

Step-by-step explanation:

If 5 apples cost $1.15, find the cost of 16 apples

we can solve with an equation

5 : 1.15 = 16 : x

x = 1.15 * 16 : 5

x = 18.04 : 5

x = 3.68

check

5 : 1.15 = 16 : 3.68

4.34 = 4.34

the answer is good

Please Help
Use the probability distribution table to answer the question.

X / P
0 / 0.03
1 / 0.13
2 / 0.70
3 / 0.10
4 / 0.04

What is P(2

Answers

Considering the given discrete probability distribution, it is found that [tex]P(2 < X \leq 4) = 0.14[/tex].

What does the discrete probability distribution gives?

It give the probability of each outcome, and each outcome is represented by a countable number.

The desired probability is:

[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4)[/tex]

As there is an open interval at X = 2, it does not enter the calculation. The values are:

P(X = 3) = 0.1.P(X = 4) = 0.04.

Hence:

[tex]P(2 < X \leq 4) = P(X = 3) + P(X = 4) = 0.1 + 0.04 = 0.14[/tex]

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Which represents the solution(s) of this system of equations?

(4, 4)
(–4, –12)
(4, 4) and (–4, 12)
(–4, 4) and (4, 12)

Answers

The solution to the given system of equation is (4, 4)

Factorizing quadratic functions

From the solved steps, the final quadratic functions is given as;

x^2 - 8x + 16 = 0

Factorize to have;

x^2 - 4x - 4x + 16 = 0

x(x-4)-4(x-4) = 0
(x-4)(x-4) = 0

x = 4 and 4

Hence the solution to the given system of equation is (4, 4)

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To verify the associative property of addition, begin
by finding the sum of the polynomials:
(3x + 4) + ((5x²-1) + (2x + 6))
x² +
X +
DONE

Answers

The sum of the given polynomial is 5x²- 5x +9

Sum of polynomial

Polynomials are expressions with a degree of 3 and above. Given the equation shown;

(3x + 4) + ((5x²-1) + (2x + 6))

Expand

(3x + 4) + ((5x²-1) + (2x + 6))

3x + 4 + 5x²-1 + 2x + 6

Collect the like terms

5x² + 5x + 4 - 1 + 6

5x²- 5x +9

Hence the sum of the given polynomial is 5x²- 5x +9

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