Maya makes trail mix by combining 1/2 cup of mixed nuts, 1/4 cup of dried fruit, and 1/8 cup of chocolate morsels. What is the total amount of ingredients in her trail mix? Explain how you solved the problem.

Answer:

[tex] {(x - 4)}^{2} + 6[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 8x + 22 \\ \\ = {x}^{2} - 8x + 16 + 6 \\ \\ = {x}^{2} - 8x + {4}^{2} + 6 \\ \\ = {(x - 4)}^{2} + 6[/tex]

The completed square form of  x² - 8x + 22 = 0 is (x - 4)² = - 6.

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, a quadratic equation x² - 8x + 22 = 0.

We know (a - b)² = a² - 2ab + b².

∴ x² - 8x + 22 = 0 is

(x)² -2(x)(4) + 4² + 6 = 0.

(x - 4)² = - 6.

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Answer:

here is how you do it

Step-by-step explanation:

first you must solve 1% of 20 which is .2

then you solve for 10% which is 2

then you double it which is 4

so you would take 4 dollars of the original price

the cost is $16

Answer

x=20

Step-by-step explanation:

  (x-3) + (8x+3) = 180

         9x = 180

            x=20

Answer: what is your question

Step-by-step explanation:

Answer:

11111/20000

Step-by-step explanation:

To convert the decimal 0.55555 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

0.55555 = 0.555551

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 5 numbers after the decimal point, we multiply both numerator and denominator by 100000. So,

0.555551 = (0.55555 × 100000)(1 × 100000) = 55555100000.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(55555,100000) = 5. So,

(55555÷5)(100000÷5) = 1111120000 when reduced to the simplest form.

The value of the fraction is A = ( 11111 / 20000 )

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction be represented as A

Now , the value of A is

Let the decimal number be represented as D

Now , the value of D = 0.55555

Multiply the number D by 100000 on both the numerator and denominator

And , the fraction is A = D x 100000 / 100000

A = 55555/100000

Divide by 5 on both the numerator and the denominator , we get

A = ( 11111 / 20000 )

Hence , the fraction is A = ( 11111 / 20000 )

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Answer:

8 to 20 miles

The covered wagon made 8 to 20 miles per day depending upon weather, roadway conditions and the health of the travelers. It could take up to six months or longer to reach their destination.

Step-by-step explanation:

Answer:

72 hope it helps............

Answer:

72

is you answer because 8×9=72

Answer:

= 1 2

Step-by-step explanation:

Combine multiplied terms into a single fraction

Multiply by 1

Add the numbers

Subtract  7  from both sides of the equation then Simplify

Answer:

C.....................m

Answer:

V=706.85

Step-by-step explanation:

Well, first of when you want to find the volume of the cone you need to have a radius and hieght. And the radius is half the diameter, so divide the diameter into half: 10/2=5 in. and you already have the height so just plug in the numbers.

Formula: V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex][tex]r^{2}[/tex]h ---> V= [tex]\frac{1}{3}[/tex][tex]\pi[/tex]([tex]5^{2}[/tex])(27)

And put the plugged in formula in your calculator and you'll find the answer!

V=706.85

I hope this helped.

Answer:

y=-2x+3

Step-by-step explanation:

In a y=mx+b equation, M is the slope and B is the y intercept. So write down that equation and plug in the numbers you're given

Answer:

A.5/12

Step-by-step explanation:

Answer:5/12

Step-by-step explanation:

Answer:

I think it might be e=5h someone please correct me if I'm wrong

Step-by-step explanation:

Answer:

e = 5h

Step-by-step explanation:

To find the unit rate (money earned per hour), we divide 10 by 2, which gets us 5. That means $5 is earned per house. If h is the number of houses shoveled, and he earns $5 per house, we can write that as 5h. If e is the money earned, we can write this whole thing as e = 5h.

Answer:

false

Step-by-step explanation:

7x-9=(7x-1)(9)

7x-9=63x-9

so, the LHS is not equal to RHS.

Answer:

WHERE IS THE QUESTION

Step-by-step explanation:

Answer:

boy:girls

5:4

64/4= 16

5 X 16 =80

there are 80 boys

Answer:

Constitution will not be amended.

Step-by-step explanation:

To amend the country's constitution, number of states should approve the amendment = [tex]\frac{7}{9}[/tex] of 69

= [tex]\frac{7}{9}\times 69[/tex]

= 53.67

≈ 53 states

But the states who approved the amendment = 52

And 52 < 53

Therefore, constitution will not be amended.

Answer:

2

Step-by-step explanation:

2^13= 8192 and the last digit is 2.

Answer: 14.94

Step-by-step explanation:

35.80 - 5.92 = 29.88

29.88 divided by 2 gives you

14.94

Answer:

$14.94

Step-by-step explanation:

35.80-5.92=29.88

29.88/2=14.94

Answer: 3/2 I’m on something similar rn

Step-by-step explanation:

Work Shown:

x = (1/3) divided by (5/8)

x = (1/3) * (8/5)

x = (1*8)/(3*5)

x = 8/15

Answer:

x = 8/15

Step-by-step explanation:

YES

Answer:

One solution, x = 8/9

Step-by-step explanation:

One way to solve this is to take one equation and substitute into the other and then solve. So, take y=5(x-4) and put that into the other equation.

4x + 12 = -y

4x + 12 = -(5(x-4))       <--- substitution here

4x + 12 = -5(x-4)

4x + 12 = -5x + 20     <-- simplifying

4x + 5x = 20 - 12

9x = 8

x = 8/9

Answer:

n = 104

Step-by-step explanation:

Answer:

n = 104

Step-by-step explanation:

Answer:

y= 2x + 3

Step-by-step explanation:

To have a parallel line they need to have the same slope.

Then you need to plot the point (2,7).

A slope of 2x means that it goes up 2 y values for every x value it goes up by. So to find the y-intercept, you need to go down 2 x values. Meaning you need to subtract 4 y values. (0,3).

y= (slope) + y-intercept

Answer:

y = 2x + 3

Step-by-step explanation:

1. Approach

The line y = 2x -1 is written in slope-intercept form, essentially; y = mx + b, where "m" is the slope, and "b" is the y-intercept. If two lines are parallel, then they both have the same slope. So one simply has to substitute in a point on the line to find out what the y-intercept is, and assemble the equation.

2. Slope

As mentioned above, two parallel lines have the same slope. Hence the slope of the line that one is trying to find the equations of is 2.

3. y-intercpet

Substitute in the point that is given, and solve for the y-intercept.

y = mx + b

y = 2x + b

7 = 2(2) + b

7 = 4 + b

3 = b

4. Assembling what one knows

The equation of the line is;

y = 2x + 3

Were 2 is the slope, and 3 is the y-intercept.

Answer:

✑ [tex] \underline{ \underline{ \sf{First ,\: Let's \: learn \: about \: the \: ratio}}} : [/tex]

Let us consider , there are 30 boys and 40 girls in a school. So, the ratio of number of boys to number of girls = [tex] \sf{ \frac{30}{40} = \frac{3}{4} = 3:4}[/tex] and read as 3 is to 4. We can say , the ratio compares two of more quantities of same unit. Until two quantities have same units , it is meaningless to compare by ratio. So, to find the ratio of two quantities , it is necessary to express them in same unit or of same kind. Since , they are in division form. So ,ratio is unit less quantity. Thus , the ratio is a comparison of two quantities of the same kind in division which doesn't have any units. For example : [tex] \sf{ \frac{a}{b}} [/tex] is a ratio and is read as ' a is to b ' in which ' a : is antecedent and ' b ' is called consequent.

✎ [tex] \underline{ \underline{ \sf{Now \: let's \: solve : }}}[/tex]

☪ [tex] \underline{ \sf{Solution}} : [/tex]

£ 21 is to be divided between Amy and Ben in the ratio 5 : 2. So, let Amy get £ 5x and Ben get £ 2x.

Then , According to the question , [tex] \text{5x +2x = 21}[/tex]

Solve for x :

⇝ [tex] \sf{7x = 21}[/tex]

⇝ [tex] \sf{ \frac{7x}{7} = \frac{21}{7} }[/tex]

⇝ [tex] \sf{x = 3}[/tex]

The value of x is 3. Now , substitute the value of x in 5x :

Amy received £ 5x = 5 × 3 = £ 15 .

☥ [tex] \boxed{ \boxed{ \tt{Our \: final \: answer \: is \bold{£ \: 15}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ♡

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Answer:

ofc! :D

Step-by-step explanation:

i- x represents the input

ii- y represents the output

iii- yes, the input (x) is 4 times greater than the output (y)

b just plot them like normal on a coordinate grid :D

Answer:

x= 9.89

y= 7

Step-by-step explanation:

..........

Answer:

Step-by-step explanation:

Hi again Iana...  I knew somebody in HS with that name.. but anyway... b/c this is a isosceles triangle again... we know right away that y =7

y=7

and that x .. the hypontanuse can be found with Pythorgas  c^2 = a^2 + b^2

c = sqrt(7^2 + 7^2)  

c = sqrt(49+49)

c =sqrt(98)

c = 9.8994949

x= 9.899

Answer:

18. 56

19. 132

20. 55

21. 120

22. 129.5

23. 61.3

Step-by-step explanation:

First look at the lines arrangment

angle 1+angle 5=180 and according to corresponing angles theorem angle 5 and angle 2 are equivalent. Angle 1+4=180

180-124=56

Angle 2+3=180

180-48=132

According to corresponding angles

angle 4=angle 7 and angle 7=angle 2 meaning angle 4=5

so angle 5=2

Like everything opposite to each other is conr=gruent

angle 8=angle 1 and angle 1=angle 6

means both angle 6 and 8 are congruent.

LOOK angle 7+3=180 means angle 2+6=180

so if ANGLE 7=50.5

6=3

180-50.5=129.5

23. angle 6 and 3 are congruent and as you know angle 7+3=180 and angle 2+6=180

angle 3+angle 6=180

180-118.7=61.3

18. Measure of angle 1=124 then angle 4=56

19.Angle 2= 48 then angle 3=132

20.Angle 4=55 then angle 2=55

21. angle 6=120 then angle 8=120

22.angle 7=50.5 then angle 6=129.5

23.angle 3=118.7 then angle 2=61.3

Hope this helps!!

It's mostly corresponding angles and theorems rules.