A trail mix consist of 7 3/4 oz of sunflower seeds, 9 1/4 oz of raisins, 4 1/4 oz of walnuts, and 7 1/2 oz of soybeans. If the mix is split equally between eight hikers, how much would each one get?

Answers

Answer 1

Answer:

Each biker gets 3 19/32 of the mix.

Step-by-step explanation:

In the questions, we are told that a trail mix consist

7 3/4 oz of sunflower seeds,

9 1/4 oz of raisins

4 1/4 oz of walnuts

7 1/2 oz of soybeans

Step 1

Add up every element in the trail mix

We have are given mixed numbers which is made up of whole number and a proper fraction

7 3/4 oz + 9 1/4 oz + 4 1/4 oz + 7 1/2 oz

So we add up the whole numbers first

27 + ( 3/4 oz + 1/4 oz + 1/4 oz + 1/2 oz)

Next, We find the lowest common multiple of the denominators of the proper fractions which is 4

= 27 + ((3×1) + (1×1) + (1×1) +(1×2)/4)

27 + (3+1+1+2) / 4

27 + 7/4

27 + 1 3/4

27 + 1 + 3/4

Total mix = 28 3/4

Step 2

If the mix is split equally between eight hikers, how much would each one get?

We would convert 28 3/4 into an improper fraction and divide it by 8 bikers

115/4 ÷ 8

115/ 4 × 1/8

= 115/32

Turning it into a mixed fraction, we have:

3 19/32

Therefore, each biker gets 3 19/32 of the mix.


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Hey!!

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Answer:

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Step-by-step explanation:

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Answer:

[tex]yes \\ 1 : 3 = 3 : 9[/tex]

Step-by-step explanation:

yes.

[tex]1 : 3 = 3 : 9[/tex]

Let see how is it possible,

[tex]3 \times 1 : 3 \times 3 = 3 :9 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 3 : 9 = 3 : 9[/tex]

Also,

[tex]1 : 3= 3 \div 3 : 9 \div 3 \\ 1 : 3 = 1 : 3[/tex]

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Step-by-step explanation:

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Step-by-step explanation:

hope it works out

Answer:

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Step-by-step explanation:

Hope it works out !!

answer these 6 questions
SOLVE these
1.(13x-15=12x+16)
2.(9x-19=2x-5)
3.(16x-35=7x-8)
4.(6x-5=13-3x)
5.(4x-9=6-x)
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Answers

Answer:

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[tex]2)9x - 19 = 2x - 5 \\ 9x - 2x = 19 - 5 \\ 7x = 14 \\ \frac{7x}{7} = \frac{14}{7} \\ x = 2[/tex]

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[tex]6)5x - 2 = 10 - x \\ 5x + x = 2 + 10 \\ 6x = 12 \\ \frac{6x}{6} = \frac{12}{6} \\ x = 2[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

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31

2

3

2

3

2

Look at the attached picture

Hope it will help you

Good luck on your assignment

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Answers

Answer:

600 m

Step-by-step explanation:

I attend LUOA as well.

Answer:

600m

Step-by-step explanation:

I, too, attended LUOA.

hope this helps:)

For a point to be a solution to a

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must make_ of the

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Answers

Answer:

The signs.

Step-by-step explanation:

For a point to be a solution to a system of inequalities, the points must make the signs of the inequalities true.

For example, the points must give results like 2<3 or 0>-2, these are true solutions. If the points gives 1>2, then that point is not a solution.

Angle relationships with parallel lines can someone help me please

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Answer:

x = 132

Step-by-step explanation:

The angles are supplementary so the add to 180 degrees

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Subtract 48 from each side

x+48-48 = 180-48

x =132

There are 855 pieces of candy in the piñata. There are 19 children at the party, and they all agreed to split the candy equally. How many pieces of candy will each child receive?

Answers

Answer: 45

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The answer would be 45 pieces of candy

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Answers

Answer:

19 miles per hour

Step-by-step explanation:

Help please!!!! 50 points!!!!


Amara has taken out a fixed rate mortgage for $125,000 at 4.04% for 20 years, or 240 months. Her payments are $730. What is the total cost of the loan?
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B. $175,200
C. $211,680
D. $226,000

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Answer:

a

Step-by-step explanation:

i went onto a mortgage calculator and thats what i got, idk how to explain through

2. The cone has a radius of 30 mm and slant height of 34 mm. What is the height h for this cone?​

Answers

Answer:

h = 16

Step-by-step explanation:

By applying the Pythagorean Theorem, the slant height is given by the formula:

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Answers

Answer & Step-by-step explanation:

[tex]Circumference=d\pi[/tex]

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PLease HELP!!!
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Which of the following inequalities contains (0, 0) in its shaded region?
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Answers

Answer:

y-7x>4

Step-by-step explanation:

Substitute the point (0, 0) for all of the equation and see which one will be true. The only reason why the 3rd equation is true is because (0) - 7(0) equals to 0 and 0 is greater than -4.

Answer:

C

Step-by-step explanation:

Edge 2021

Which of the points shown below are on the line given by the equation y = x + 3​

Answers

Answer: B

Step-by-step explanation:

Solve -16x = -80.

1.)-5
2.)5
3.)-96
4.)-64

Answers

Answer:

5

Step-by-step explanation:

Answer:

The final answer is [tex]x = 5[/tex], which would be the second choice.

Step-by-step explanation:

Solve the equation:

[tex]-16x = -80[/tex]

-Divide both sides by -16:

[tex]\frac{-16x}{-16} = \frac{-80}{-16}[/tex]

[tex]x = 5[/tex]

So, the final answer is [tex]x = 5[/tex] .

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Answers

Answer:

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The radius is half the diameter.  

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Answer:

sphere

Step-by-step explanation:

Human heads are close to circles and sometimes are circles

Sphere is the best model for the head of a human being.

A human head definitely doesn't represent a Cone neither a Pyramid.

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What is the y-intercept of the line with equation y = 3x + 2

Answers

Answer:

The y-intercept is 2.

Step-by-step explanation:

We can find the y-intercept by looking at the linear equation y = mx + b.

m = slope

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hello!

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

Let's find the y-intercept of this line.

You should notice that the equation is written in Slope-Intercept Form:

[tex]\bigstar{\boxed{\pmb{y=mx+b}}}[/tex]

Where

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

note:-

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What is the value of x and the length of segment DE?


1. 5/9= 9/(2x+3)


2. 10x + 15 = 9(9)


x=?

length of de=?

Answers

Answer:

[tex]x = 6.6[/tex] and [tex]DE = 16.2[/tex]

Step-by-step explanation:

The question is incomplete as the attachment to solve segment DE is missing. However, see attached for complete question.

Given

[tex]\frac{5}{9}= \frac{9}{(2x+3)}[/tex]

Required

Find x

Length of DE

To find x, we need to first simplify the given equation

[tex]\frac{5}{9}= \frac{9}{(2x+3)}[/tex]

Multiply both sides by [tex]9(2x+3)[/tex]

[tex]\frac{5}{9} * 9(2x + 3) = \frac{9}{(2x+3)} * 9(2x + 3)[/tex]

[tex]5(2x + 3) = 9(9)[/tex]

[tex]10x + 15 = 81[/tex]

Subtract 15 from both sides

[tex]10x + 15 - 15 = 81 - 15[/tex]

[tex]10x = 66[/tex]

Divide both sides by 10

[tex]\frac{10x}{10} = \frac{66}{10}[/tex]

[tex]x = \frac{66}{10}[/tex]

[tex]x = 6.6[/tex]

From the attached;

[tex]DE = 2x + 3[/tex]

Substitute 6.6 for x

[tex]DE = 2(6.6) + 3[/tex]

[tex]DE = 13.2 + 3[/tex]

[tex]DE = 16.2[/tex]

Hence [tex]x = 6.6[/tex] and [tex]DE = 16.2[/tex]

Answer: 6.6 for the first x

Length of DE is 16.2

Also these are correct!

Step-by-step explanation:

I just put it in

At the start of 2014 Mikes car was worth £12000. the value of his car decreased 30% every year.
work out the value of the car at the start of 2017

Answers

Answer:

The worth of car at the start of 2014 = $12000

The value of the car decreased 30% every year.

At start of 2015:

30% of 12000 = \frac{30}{100} \times 12000

100

30

×12000 = 3600

So, the value of the car at start of 2015 = 12000-3600 = $8400.

At start of 2016:

30% of 8400 = \frac{30}{100} \times

8400

100

30

×8400 = 2520

So, the value of the car at start of 2016 = 8400-2520 = $5880.

At start of 2017:

30% of 5880 = \frac{30}{100} \times

5880
100

30

×5880 = 1764

the value of the car at start of 2017 = 5880-1764 = $4116.

So, the value of his car at the start of 2017 is $4116.

When sound is created it travels to the ear through a

Answers

Answer:

medium

Step-by-step explanation:

The right answer is Medium, because to travel through the ear the sound wave must go through the ear drum.

Answer:

Medium

Step-by-step explanation:

your welcome loves

The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K), and the familiarity with the jokes (denoted by F) using this formula:

Answers

Answer:

L = f(J, K, F)

L = (JK²)/F

So, as the formula appears, the appropriate units will be option A.

Unit for number of laughs = (jokes*knowledge²) / familiarity

Just like the formula suggests.

Step-by-step explanation:

Complete Question

The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K) and the familiarity with the jokes (denoted by F) using this formula: L = (JK²)/F

Select an appropriate unit for number of laughs:

A) (jokes*knowledge²) / familiarity

B) familiarity / (jokes*knowledge²)

C) familiarity² / (jokes*knowledge)

D) (jokes*knowledge) / familiarity²

Solution

L = f(J, K, F)

where

L = number of laughs

J = number of jokes

K = amount of knowledge about the joke material

F = familiarity with the jokes

Analysing how the dependent variable depends on each of the independent variables.

- Number of jokes

The number of laughs will increase with the number of jokes and vice versa. It can be stated that there is a direct variation between the number of laughs and number of jokes.

- Amount of knowledge about the joke material

The more one understands the joke material, the funnier the joke. In fact, the joke can be termed funnier when one understands the joke material deeply. The direct variation of number of laughs to knowledge about joke material isn't just enough, the number of laughs varying directly as the square of the knowledge of joke material seems more fitting.

- Familiarity with the joke

The more familiar one is with a joke, the less funny it is. Hence, it's an inverse relationship between number of laughs and the familiarity with the joke.

L = (JK²)/F

So, as the formula appears, the appropriate units will be

(jokes*knowledge²) / familiarity

Just like the formula suggests.

Hope this Helps!!!

The question is incomplete. Here is the complete question.

The number of laughs (denoted by L) can be defined as a function of the number of jokes (denoted by J), the amount of knowledge about the joke material (denoted by K) and the familiarity with the jokes (denoted by F) using this formula: [tex]L = \frac{J.K^{2} }{F}[/tex].

Select an appropriate unit for number of laughs:

(jokes*knowledge²) / familiarity

familiarity / (jokes*knowledge²)

familiarity² / (jokes*knowledge)

(jokes*knowledge) / familiarity²

Answer: Unit for number of laughs is (jokes*knowledge²) / familiarity

Step-by-step explanation: Number of laughs (L) is related to jokes (J), knowledge (K) and familiarity (F) according to the proportion: [tex]L = \frac{J.K^{2} }{F}[/tex]

The unit for L will be: L = (jokes.knowledge²).familiarity⁻¹

or

L = [tex]\frac{jokes*knowledge^{2} }{familiarity}[/tex]

Please help!

Jamal deposited $4,253 in a savings account earning 1% interest, compounded annually.

To the nearest cent, how much will he have in 4 years?

Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

Answer:

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Step-by-step explanation:

Put the following equation in slope-intercept form: -3y=12+3x​

Answers

Answer: y= -x - 4

Step-by-step explanation:

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