Directions: Write your own recipe for trail mix with a catchy name that will make people want to eat it. You can also create a slogan, logo, or package design for the mix. Your recipe must meet the following contest guidelines:
1. It must have at least five different ingredients.
2. The amount of each ingredient should be represented by a different mixed number.
3. The recipe must make exactly 10 cups of trail mix.
After you write your recipe, complete the following for your contest entry:
• Prove that your recipe makes exactly 10 cups.
• Explain the most efficient method for measuring each ingredient using only
the following two measuring cups: 31 cup and 41 cup. You can use one or both of the measuring cups. Note: Depending on the fractions that you chose
for your ingredient amounts, it may not be possible to create each exact amount using only 13 and 14 measuring cups. If you need to, you can round your ingredient amounts using benchmarks and then explain how you would estimate that amount. For example, if you need 74 cup of an ingredient, 74
cup is slightly more than 12 cup. You could fill up your 14 measuring cup twice to make 12 cup of that ingredient, and then add just a tiny bit more to estimate 74 cup.
• Use equations or other models to show how you would measure each ingredient amount with only the two measuring cup sizes.

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

250% = 250/100 = 25/10 = 2 1/2

Topic: Conversion between fraction and percentage

If you like to venture further, feel free to check out my insta (learntionary). It would be best if you could give it a follow. I'll be constantly posting math tips and notes! Thanks!

Answer:

64

Step-by-step explanation:

the frequency of 64 is 21 which is the highest frequency presented making it the mode. 64 is the mode

Answer:

c

Step-by-step explanation: because the one on the bottom is smaller than the other

Simple. It’s the first one.

Answer:

1/6

Step-by-step explanation:

Acellus sux

The probability of the pair of standard dice to be rolled and for their sum to be less than 5 is [tex]\frac{1}{6}[/tex]

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

According to the given problem,

The possible rolls can be represented by ordered pairs,

Where the first entry is the outcome of one die and the second is the outcome of the other.

(1 and 1) , (1 and 2) ,…….,(1 and 6), (2 and 1), (2 and 2),.......,(2 and 6),.....,(6 and 1) ,(6 and 2),....,(6 and 6).

There are 36 possible outcomes when two dice are rolled.

Pairs having sum less than 5: (1 and 1) ,(1 and 2) , (1 and 3) , (2 and 1) , (2 and 2), (3 and 1).

The probability that the sum is less than 5 = [tex]\frac{6}{36}[/tex]

                                                                       = [tex]\frac{1}{6}[/tex]

Hence, we can conclude, there is a probability of  [tex]\frac{1}{6}[/tex] for the standard dice to be rolled and for their sum to be less than 5.

Learn more about probability here: https://brainly.com/question/11234923

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Answer:  -4

Step-by-step explanation:

- + - = +

+ (+) += -

- (+) + = -      

Answer:

a,d,e

Step-by-step explanation:

sorry if im wrong :(

Answer:

5/2 is the slope or 2.5

Step-by-step explanation:

you take two points and do rise over run to get the slope, Hope this helped.

Answer:

Positive 2

Step-by-step explanation:

its like ur subtracting 9+ (-7)

its basically 9-7=2

but not all problems r like this.

Brainlest plz

Answer:

the answer is d add 8x to both sides

Step-by-step explanation:

The missing step in step 2 is to add 8x to both sides of the inequality.

An inequality shows the relationship between two mathematical expressions which is denoted by the inequality signs such as (<, >, ≤, ≥).

The inequality given is expressed as:

5 - 8x < 2x + 3

5 - 8x - 3 < 2x + 3 - 3

2 - 8x  < 2x

So, we need to add + 8x to both sides, in order to eradicate the variable (8x) from the left-hand side.

i.e.

2 - 8x + 8x < 2x + 8x

2 < 10x

In step 3, we divide both sides by the coefficient of x.

i.e.

[tex]\mathbf{\dfrac{2}{10} < \dfrac{10x}{10}}[/tex]

[tex]\mathbf{0.2 < x}[/tex]

Learn more about solving inequalities here:

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[tex]g(x)=x^3-x\\g(-2)=(-2)^3-(-2)\\g(-2)=-8+2\\g(-2)=-6[/tex]

Therefore, g(-2) = -6

Basically substitute x = -2 in the equation.

Answer:

y = 5/2x + 1/2

Step-by-step explanation:

Find the slope with the formula [ y2-y1/x2-x1 ].

-2-3/1-(-1)

-5/2

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Find the y-intercept using the formula for slope-intercept form [ y = mx + b ]

y = -5/2x + b

3 = -5/2(-1) + b

3 = 5/2 + b

1/2 = b

Put everything we solved for into its final form.

y = 5/2x + 1/2

Best of Luck!

Answer:

y = -2.5x + 0.5

Step-by-step explanation:

First we must find the slope.

To do so we will use this formula:

y2 - y1 / x2 - x1

Substitute with (-1, 3) and (1, -2)

-2 - 3 / 1 + 1

-5/2

-2.5 is our slope.

Now to put this into slope-intercept form we will use Point-slope formula.

y - y1 = m(x - x1)

substitute using the ordered pair, (-1, 3):

y - 3 = -2.5(x + 1)

Distribute:

y - 3 = -2.5x + -2.5

Add 3 to both sides:

y = -2.5 + 0.5

Double check by using the other ordered pair.

(1, -2)

y + 2 = -2.5(x - 1)

Distribute:

y + 2 = -2.5x - 2.5

Add 2 to both sides:

y = -2.5x + 0.5

(-1, 3) and (1, -2) written in slope intercept form is:

y = -2.5x + 0.5

Answer:

u = 24

Step-by-step explanation:

[tex]\frac{u}{4}[/tex] + 12 = 18

   -12    -12

[tex]4*\frac{u}{4}[/tex] = 6*4

u = 24

Answer:

u = 24

Step-by-step explanation:

Original Equation:

u/4 + 12 = 18

Subtract 12 from both sides

u/4 = 6

To separate the u from the 4, multiply both sides by 4

u = 24

Hope this helps :)

B- you can't divide by 0

Answer:

27.46 ft per minute

Step-by-step explanation:

120 ÷ 4.37 = 27.46 (rounded to 27.46)

Answer:

since it got stretched by 3 it's 4

Answer:

51

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

Answer:

ΔABC ≅ ΔQPR

Step-by-step explanation:

if you were to reflect it, they would line up also A ≅ Q because their angles are the same and I know that because of the markings, they both have one arc and B and P both have two arcs meaning they are congruent and C and R both have three arcs so they are congruent.

Answer:

Both Bobby's and Lisa's points are on the line.

Step-by-step explanation:

You just have to plug the points into the equation.

Bobby:

(4,2)

2 = 5(4) - 18

2 = 20 - 18

2 = 2

Lisa:

(3,-3)

-3 = 5(3) - 18

-3 = 15 - 18

-3 = -3

So they both are correct.

Answer:

$4.30

Step-by-step explanation:

2.25 + 2.25= 4.30

Answer:

Yes, they are equivalent.

Step-by-step explanation:

20 divided by 15 = 1.333333...

4 divided by 3 = 1.333333...

Answer:

Phone B

Step-by-step explanation:

It is around the same cost as Phone C, but has unlimited data (which means unlimited gigs)

Answer:

B

Step-by-step explanation:

Charge of 9 gigs for A

find slope:

125 - 95/5 - 3 = 30/2 = $15/month

use point slope form with point (3,95) and slope 15:

y - y1 = m(x - x1)

y - 95 = 15(x - 3)

y - 95 = 15x - 45

 + 95           +95

y = 15x + 50

put 9 for x, gigs, in the new equation:

y = 15(9) + 50

y = 135 + 50

y = 185

$185 for opt A

Charge of 9 gigs for B

slope = 0

there is the fee of 150 so the equation is:

y = 0x + 150

Next find the price for 9 gigs

y = 9(0) + 150

y = 150

$150 for opt B

Charge of 9 gigs for C

use graph and the cost is about $157

A: $185

B: $150

C: $157

Answer:

x= -300

Step-by-step explanation:

0.25x+7 = 1/5x-8

convert the decimal into a fraction

1/4x+7 = 1/5x-8

1/4x+7+8 = 1/5x

1/4+15 = 1/5x

multiply both sides of the equation by 20

1/4x(20)+15(20) = 1/5x(20)

5x+300 = 4x

5x-4x+300 = 0

x+300 = 0

x = -300

Answer: She could start a you tube channel and teach there u get way more money anyways. one of my history teachers teachs in a school and has a you tube channel.

Step-by-step explanation:

Answer:

well first

why does ernie want be a teacher in the first place if one of the main aspects of it is dealing with kids?

it also depends on what subject he'd want to teach

if he doesnt want to physically be in a school he can just do online teaching yk

Answer:aaaaa

AAAA

Step-by-step explanation:

Answer:

let the length of each of the 2 equal sides= n

then n+n+(n-5)=49

3n=44

n=44/3

Answer:

let the length of each of the 2 equal sides= n

then n+n+(n-5)=49

3n=44

n=44/3

Answer:

12/45

Step-by-step explanation:

The unit rate is 12/45, because 4 times 3 is 12, and 9 times 5 is 45.

Answer:

95 ° 36 ′ 36 ′′

Step-by-step explanation:

To convert 95.61 into degrees, minutes and seconds, you'll have to leave the whole units of degrees alone. You have to multiply the decimal by 60. The whole number becomes the minutes.

Then, you multiply 0.61 by 60, in which you get 36.6.

Take the remaining decimal and multiply by  60  and take the whole number portion to find the seconds.

Multiply 0.6 by 60. You get 36.

And lastly, Take the three sets of whole numbers and combine them, using the symbols for degrees ( ° )  , minutes  ( ′ ) , and seconds  ( ′′ ) .

This is how you get 95 ° 36 ′ 36 ′′.