There is a proportional relationship between the amount of dark chocolate (in ounces), x, and the amount of almonds (in ounces), y, in each package of Sweet and Salty trail mix.

x (ounces of dark chocolate) 2 y (ounces of almonds) 8

There Is A Proportional Relationship Between The Amount Of Dark Chocolate (in Ounces), X, And The Amount

Answers

Answer 1

Answer:

  y = 4x

Step-by-step explanation:

You want an equation that represents the proportional relationship between ounces of chocolate (x) and ounces of almonds (y) when we know (x, y) = (2, 8).

Proportional relation

A proportional relation can be written using the equation ...

  y = kx

where k is a constant.

The value of k can be found if a pair of values is known for x and y.

  k = y/x . . . divide by x

  k = 8/2 = 4 . . . . use (x, y) = (2, 8) from the table.

The equation for the relationship is ...

  y = 4x

Answer 2

The proportional relationship that accounts between the amount of dark chocolate and the amount of almonds is y = 4x.

What is ratio and proportion?
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. An equation known as proportion shows that the two ratios presented are equal to one another. A ratio is the comparative or condensed form of two quantities of the same type. We may determine how many times one quantity is equal to another using this relationship. The ratio can be defined as the number that can be used to represent one quantity as a percentage of another.

Given, for 2 ounces of dark chocolate(x), 8 ounces of almonds(y) are put in.
Taking the ratio as y to x, we have:
y/x = 8/2 ⇒ y/x = 4 ⇒ y = 4x
Thus, the proportional relationship that accounts between the amount of dark chocolate and the amount of almonds in each package of Sweet and Salty trail mix is y = 4x.

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Related Questions

how do i multiply this and simplify (2x+6)^2

Answers

Answer:4x^2+24x+36

Step-by-step explanation:

when you have it squared it turns into (2x+6) (2x+6) then you distribute it which gives you 4x^2+12x +12x+36 when you simplify that you et 4x^2+24x+36

Answer:
You expand the square

(2x+6)(2x+6)

4x^2+12x+12x+36

Simplify it

4x^2+24x+36

Here is a linear equation: y = 2/3x + 1 Are (6, 5) and (9, 8) solutions to the equation? Explain or show your reasoning.

Answers

First. (6,5) substitution to equation
5=2/3(6)+1 , 5=4+1 , 5=5

Second. (9,8) substitution to equation
8=2/3(9)=1 , 8=6+1 , 8=7

Only (6,5) is solution

-4 + (-5) =

1 + (-4) =

Answers

Answer:

-9,-3

Step-by-step explanation:

-4+-5 = -9

1+-4 = -3

Think about a number line to help you

Answer: -4 + (-5) = -9

1 + (-4) = -3

Step-by-step explanation: Subtract -4 and -5 and u get -9. Subtract 4 and 1 to get -3

O LINEAR EQUATIONS
Finding the dimensions of a rectangle given its perimeter and a...
The length of a rectangle is three times its width.
If the perimeter of the rectangle is 64 yd, find its length and width.
length: yd
width: yd
X

Answers

Answer:   width=8, length=24

Step-by-step explanation:

2(x+3x)=64

2x+6x=64

x=8

width (x)=8

length (3x)=24

perimeter=2(x+3x)=64

3x³+28=220 thanks for the help!

Answers

the answer to tuis problem is x=4.

If * = 8 units, y= 13 units, and h= 11 units, then what is the area of the parallelogram shown above?

Answers

The area of the figure shown below is equivalent to 88 square units.

Properties of a parallelogram

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry.

The opposite sides of a parallelogram are congruent and the sum of their adjacent side is equivalent to 180 degrees.

The formula for calculating the area of a parallelogram is expressed as;

Area = length * breadth

Area = x * h

Area = 8 * 11

Area = 88 square units

Hence the area of the parallelogram above is 88 square units.

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Write the ratio 9:4 in the form n: 1

Answers

4 * 4 = 1
9 * 4 = 2.25
9:4 * 4 = 2.25:1

The ratio 9:4 in the form n:1 is 2.25:1.

The given ratio is 9:4.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

We need to write the given ratio in the form n:1

Divide the given ratio by 4

9/4 : 4/4

⇒ 2.25:1

Therefore, the ratio 9:4 in the form n:1 is 2.25:1.

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Twenty students participated in a psychology experiment which measured their heart rates in two different situations.
Which situation shows greater variability?

Answers

Twenty students participated in a psychology experiment which measured their heart rates in two different situations.[75,100] situation shows greater variability.

f(75)=1

f(80)=4

f(90)=5

f(95)=4

f(100)=1

The measure of center should be median as the data is a bit scattered whereas the measure of variability should be the range of it.

Mean should be the measure of center as the data is concentrated in the middle the most whereas the standard deviation should be the measure of variability.

How far apart points are from one another and from the center of a distribution or a data collection is shown by variability. Spread, scatter, and dispersion are other terms for variation.

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Question 8 (1 point)
Identify the slope as POSITIVE, NEGATIVE, ZERO, OR UNDEFINED.

Answers

Answer:

Step-by-step explanation:

i think its undefined

Enter the values for the highlighted variables that show how to subtract the rational expressions correctly: StartFraction 2 Over x squared minus 36 EndFraction minus StartFraction 1 Over x squared + 6 x EndFraction = StartFraction 2 Over (x + 6) (x minus 6) EndFraction minus StartFraction 1 Over x (x + a) EndFraction. = StartFraction b x Over (x + 6) (x minus 6) x EndFraction minus StartFraction x minus c Over (x + 6) (x minus 6) x EndFraction. = StartFraction d x minus x + e Over (x + 6) (x minus 6) x EndFraction. = StartFraction x + f Over (x + 6) (x minus 6) x EndFraction. = StartFraction g Over x (x minus 6) EndFraction

Answers

Answer:

6, 2, 6, 2, 6, 6, 1

Step-by-step explanation:

a = 6

b = 2

c = 6

d = 2

e = 6

f = 6

g = 1

Answer: 6, 2, 6, 2, 6, 6, 1

Step-by-step explanation:

Find WI if IE = 3
EW and YG are medians of XYW

Answers

Based on the definition of the median and applying the centroid theorem, the length of WI is calculated as: 6 units.

What is the Median of a Triangle?

The line that joins the vertex of a triangle to the midpoint of the side it is directly opposite is called the median of a triangle.

Medians intersect each other at a point inside the triangle that is called the centroid. Based on the centroid theorem, since J is the centroid of triangle XYW, then:

the length of IE is one-third of the length of segment EW (referring to the image given in the question that shows triangle XYW)

Thus, we have the equation that relates the length of the segments as shown below:

IE = 1/3(EW)

Given that:

IE = 3 units

Substitute the value of IE into the equation:

3 = 1/3(EW)

3(3) = EW

9 = EW

EW = 9 units

Therefore:

Length of WI = the length of EW - the length of IE

Substitute

Length of WI = 9 - 3

Length of WI = 6 units.

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4) A group entering a zoo purchased 33 admission tickets for a total of $139.50. Adult tickets (x) cost $7.50 and
tickets for children (y) cost $3.50. How many of each type of ticket were purchased?
/5 points

Answers

The number or children tickets are 24 and adults tickets are 9.

How to illustrate the information?

Adult tickets (x) cost $7.50 and tickets for children (y) cost $3.50. The equation will be:

7.5x + 3.5y = 139.5

There are 33 tickets. This will be:

x + y = 33

x = 33 - y.

Recall 7.5x + 3.5y = 139.5

Substitute for x.

7.5(33 - y) + 3.5y = 139.5

247.5 - 7.5y + 3.5y = 139.5

-4.5y = 139.5 - 247.5

4.5y = 108

y = 108/4.5

y = 24

Number of children ticket = 24

Adult tickets = 33 - 24 = 9

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Find the y-intercept of the quadratic function: g(x)=2(x+3)^2+8

Answers

x-intercept:

(−3,0)

y-intercept:

(0,118098)

The graph of the function p(x)=x^3+x^2+4x+4 is shown below

Find all real and complex roots of the function. The Zeros are:



List the zeros as complex numbers. Separate answers by commas as needed.

Answers

Answer:

1 ; -2·i ; 2·i

Because x = -1 is a real root, you can divide

(x^3 + x^2 + 4·x + 4)/(x + 1) = x^2 + 4

Roots of x^2 + 4 are

x^2 + 4 = 0

x^2 = -4

x = ± 2·i

All real and complex roots are

1 ; -2·i ; 2·i

Mr. Helmer had a wooden board 85 inches long. He cut off a piece 9 inches long. How long was the board after the cut?

Answers

Answer:  76           Mr Helmer had 76 inches left.

Step-by-step explanation:  All you do is you subtract 9 from 85.

Or 85-9=X

Jose will spend at most $20 on gifts. So far, he has spent $12 . What are the possible additional amounts he will spend?

Answers

Answer:8 dollars

Step-by-step explanation:

20-12=

Betrys is making a vegetable stew for 8 people

Answers

Answer:

150 gram is the word

Watch help video
Aisha went shopping for a new pair of sneakers. The listed price of the pair of
sneakers was $43, but the price with tax came to $44.29. Find the percent sales tax.

Answers

The percent sales tax of the purchase is 3 %.

How to find percent sales tax?

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

She went shopping for a new pair of sneakers.

The listed price of the pair of sneakers was $43, but the price with tax came to $44.29.

Therefore, the percent sales tax can be found as follows:

sales tax = 44.29 - 43

sales tax = $1.29

Therefore,

percent sale tax = sale tax / cost with tax × 100

percent sale tax =  1.29 / 43 × 100

percent sale tax = 129 / 43

Therefore,

percent sale tax = 3%

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the figure is a rectangular pyramid the base is rectangle abcd and the four faces abe bce cde and ade b=meet at the vertex e the edges are ab bc cd ad ae be ce and de the vertices are abce and e

Answers

Answer:

here you go I guess

Step-by-step explanation:

Here is an inequality: 7x+6<3x+2

Select all values that are solutions

x=1
x=0
x=-1
x=-2
x=-8

Answers

Answer:

x < -1

Step-by-step explanation:

7x + 6 < 3x + 2

7x - 3x + 6 < 2

7x - 3x < 2 - 6

4x < -4

x < -4 / 4

x < -1

Determine which integer(s) from the set S:{−40, 2, 20, 42} will make the inequality three eighths m minus three is less than one fourth m plus 2 false.

Answers

Answer:

{-40, 2}

Step-by-step explanation:

Part A: -40/8 x 3/8 would be

120/8 but then we have to subtract it from 3

that would be 117/8 then we simplify it 14 -5/8.

Part B: first it would be 2 plus 2 and that's 4 and then make 4 into a fraction

4/4 we simplify that 1 0/4.

14 -5/8 < 1 0/4.

Hope This Helped!

Drag each statement to show whether it is true, based on the graph.

Answers

The price per one pound of almonds equal $2.20/0.65 lb

0.65 pounds of almonds cost $2.20

Verify each case

case 1) The price per one pound of almonds equal $2.20/0.65 lb

The statement is true

To find the price per one pound calculate the unit rate

So,

$2.20/0.65 lb=$3.38 per one pound

case 2) 2.2 pounds of almonds cost $0.65

The statement is not True

The correct is 0.65 pounds of almonds cost $2.2

case 3) Each bag of almonds weighs 2.2 pounds

Cannot be determined

In the problem there is no information about how much each bag of almonds weighs

case 4) 0.65 pounds of almonds cost $2.20

The statement is True

The point (0.65,2.20) lie to the line of the the graph.

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Help pleaseeeeee (ignore the part that says explain math mistake)

Answers

Check the picture below.

Question 2
What is the definition of

congruence?
A) If two figures have the same shape, then they are congruent.

B) If two figures have the same area, then they are congruent.

C) If there is a sequence of transformations taking one figure to another, then they are congruent.

D) If there is a sequence of rotations, reflections, and translations that take one figure to the other, then they are congruent.
Next Question

Answers

Answer:

A. If two figures have the same shape, then they are congruent.

Question 6(Multiple Choice Worth 2 points)
(Multiplying and Dividing with Scientific Notation MC)
How many times larger is 8 x 105 than 4 x 10³?
2,000
200
20
2.0

Answers

8 × [tex]10^5[/tex] is 200 times greater than 4 × [tex]10^3[/tex]  as according to multiplying and dividing as per the scientific notation of multiplication and division.

What is scientific notation?

A kind of representation of number which is some power of 1/10 can also be expressed in as easily in scientific notation.

1/10 = [tex]10^{-1[/tex]  (“ten to the minus one power”)

More generally, the expression “[tex]10^{-n[/tex]” (where n is a whole number) means (1/10) n. Thus

[tex]10^{-3[/tex] = [tex]\frac{1}{10}^{-3}[/tex]

= 1/1000

[tex]10^{-8[/tex] = [tex]\frac{1}{10}^{-8[/tex]

= 1/100,000,000

Scientific notation was invented to help scientists (and science students) deal with very large and very small numbers, without getting lost in all the zeros.

Herein this question

8 × [tex]10^5[/tex] can also thus be written as 2 x 4 × [tex]10^5[/tex]. On dividing with 4 × [tex]10^3[/tex] we get 2 x [tex]10^2[/tex]. Thus, it is 2 x [tex]10^2[/tex] i.e., 200 times larger than 4× [tex]10^3[/tex].

The expression “10n”, where n can be stated as a whole number, simply means that “10 is raised to the nth power,” or in other words, a number that is got by using 10 as a factor n times.

You can also notice that the number of zeros that are present in the ordinary decimal expression is absolutely equal to the power to which thus 10 is raised.

If any kind of number is expressed in words, first we have to write it down as an ordinary decimal number and then we have to convert it. Thus, the value “ten million” becomes 10,000,000. There are a total of seven zeros, so in powers of ten notation ten million is written [tex]10^7[/tex].

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Greta is opening a savings account. She starts with $100 and plans to add $50 each week. How do you write an equation she can use to calculate the amount of money she have after any number of weeks. How much money will she have after 1 year?- what is the unit rate of change for this situation

Answers

Answer:

100+50n

n stands for the number of weeks

There are about 52 weeks in a year, so

100+50(52) = 2700

Greta would have $2700 after 1 year

Tom walked a total of 15 kilometers by making 5 trips to school. Later on, he walked 33
kilometers during 11 trips. How many kilometers does Tom walk per trip?

Answers

15 divided by 5 = 3
33 divided by 11 = 3
tom walks 3 kilometers per trip

pls help my mom is mad at me Tyler was making a meal for his family. For every 3/4 pound of beef, the recipe calls for 9/8 cups of broccoli. How many cups of broccoli would be needed for a pound of beef?
Group of answer choices

1 and ½ cup of broccoli per beef

1/2 cup of broccoli per beef

2/3 pound of broccoli per beef

5/4 cup of broccoli per beef

Answers

Answer:
1 1/2

Step-by-step explanation:

for divide 3 for 9/8 and 3/4 so 9/8 divide 3 so 3/8

So there is 3/8 for each 1/4. Then time 4 so one pound is 12/8 and you simplify your answer is 3/2 or 1 1/2

Pls give brainliest

72=6x

What is x equal to?

Answers

Answer:

12

Step-by-step explanation:

72:6=12

1x=12

hope ut help

X is equal to 12 because when you divide 72 by 6 it will give you 12 and therefore x is equal to 12.

help me with math, its 8th grade 100 points look at attachment

Answers

Answer:

1)

The hypotenuse is the longest side of a triangle. It is ALWAYS the one across from the right angle (depicted as the box in the corner at 90 degrees). Therefore the 2 sides that intersect the 90-degree angle are "leg" and "leg" and the longest side is the"hypotenuse"

2)

The Pythagorean theorem states: [tex]a^{2} + b^{2} = c^{2}[/tex]  where a and b are sides and c is the hypotenuse.

[tex]a^{2} + b^{2} = c^{2} \\8^{2} + 6^{2} = c^{2} \\64 + 36 = c^{2} \\100 = c^{2} \\\sqrt{100} = c\\10 = c[/tex]

For your purposes, a and b do not matter which number you choose as long as you make sure that they are sides and not the hypotenuse.

3)

The Pythagorean theorem states: [tex]a^{2} + b^{2} = c^{2}[/tex]  where a and b are sides and c is the hypotenuse.

[tex]a^{2} + b^{2} = c^{2} \\4^{2} + 7^{2} = c^{2} \\16 + 49= c^{2} \\65 = c^{2} \\\sqrt{65} = c\\8.0622 = c[/tex]

Hope that helps!

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