A package contains 4 cups of trail mix. He wants to divide the trail mix into 1/3 cup servings. How many 1/3 cup servings are there in 4 cups? Explain how you found your answer.

BREAKDOWN

10 times: 10 ×

The sum of: ( ) + ( )

which would be : 10 × ( ) + ( )

half a number: 10 × ( X/2 ) + ( )

and 8: 10 × ( X/2 ) + ( 8 )

is 12 : 10 × ( X/2 + 8 ) = 12

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SIMPLIFICATION

Multiply ten: 10 X (X/2 + 8) = 12

which equals to: 5x + 80 = 12

bring the like terms together: 5x = 80 - 12

Equals: 5x = 78

Find out X:. x = 78/5

FINAL ANSWER:. X = 15.9

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Answer:

0-3

Step-by-step explanation:

From what I undersand when you subtract the two they have to equal negitive three

Step-by-step explanation:

Step-by-step explanation:

Amelia got 56% of 75 so

(56/100)*75=(56*75)/100=4200/100=42

Hayden got 8/15 of 75 so

(8/15)*75=(8*75)/15=600/15=40

and Sophie that got 43 out of 75

so we see that Sophie got the highest points.

Given parameters:

  Total test score = 75marks

 Percentage of Amelia score  = 56%

 Fraction  of Hayden's score = [tex]\frac{8}{15}[/tex]

  Sophie's score  = 43marks

Unknown:

The person with the highest score  = ?

Solution:

  Since total score = 75marks;

Amelia's score = [tex]\frac{56}{100} x 75[/tex]   = 42marks

 Hayden's score = [tex]\frac{8}{15} x 75[/tex]   = 40marks

 Sophie's score  = 43 marks

The person with the highest score is Sophie with a mark of 43.

Answer:

45

Step-by-step explanation:

2 minus 47 equals 45 if that's what your talking about

Answer:

Step-by-step explanation:

1 think 12 or 13

Answer:

Option (1) and (5)

Step-by-step explanation:

Let the equation representing number of sold is,

y - y' = m(x - x')

Where m = number of condo sold per month  

(x', y') is a point from the given table,

Slope of line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope of the passing through (1, 8) and (0, 11) will be,

m = [tex]\frac{11-8}{0-1}[/tex] = -3

Therefore, equation of the line passing through (3, 2) and slope (-3),

y - 2 = (-3)(x - 3)

y - 2 = -3(x - 3)

Similarly, equation of the line passing through (0, 1) and slope (-3),

y - 11 = -3(x - 0)

Therefore, Option (1) and (5) will be the answer.

Answer:

Options 1 and 5

Answer:

y=  -3x-7

Step-by-step explanation:

The total students that are enrolled at the school is = 868 students

In the flu season the number of students absent from school = 93

The percentage of students absent from school = 12%

If 93 students = 12%

X students = 100%

Make X the subject of formula,

X = 93× 100/12

X= 9300/12

X = 775

Therefore, 775 + 93 = 868

The total students that are enrolled at the school is = 868 students.

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Answer:   [tex]f^{-1}(x)=\dfrac{8x+3}{x-6}[/tex]

Step-by-step explanation:

To find the inverse, swap the x's and y's and solve for y.  Note that f(x) is y.

[tex]\underline{\text{Given:}}\\y=\dfrac{6x+3}{x-8}\\\\\\\underline{\text{Swap the x's and y's:}}\\x=\dfrac{6y+3}{y-8}\\\\\\\underline{\text{Solve for y:}}\\x(y-8)=6y+3\\\\xy-8x=6y+3\\\\xy-6y=8x+3\\\\y(x-6)=8x+3\\\\\large\boxed{y=\dfrac{8x+3}{x-6}}[/tex]

The answer is A, x=7/3

Decimal form would be x=2.3...

And mixed number form would be x=2 1/3

Answer:

21

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Im not sure but this is my best answer

The required height of the seat from the ground is 100√3. Option D is correct.

A seat on a Ferris wheel is level with the center of the wheel. The diameter of the wheel is 200 feet. Suppose the wheel rotates 60°, causing the height of the seat to decrease. How much closer to the ground is the seat after the is to be determined.

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operation.

Diameter = 200
Radius = Diameter/2 = 100
Rotational angle = 60°
Let the height be h
tan60 = h/100
√3 = h/100
100√3 = h

Thus, the required height of the seat from the ground is 100√3. Option D is correct.

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Answer:

50 √3 feet

Step-by-step explanation:

Correct on edge 2023.

Answer:

b-7+10

Step-by-step explanation:

If there is no specific number or if there isn't anything as an equal sign then there is only that

Answer:

volume of building a is 200 volume of building b is 224

Step-by-step explanation:

Answer:

h=[tex]\frac{b\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Answer:

a = xab/(b + c)

Step-by-step explanation:

x = (a + b + c)/ab

Isolate the variable by multiplying/dividing everything, but variable a to both sides

x × ab/(b+ c) = (a + b + c)/ab × ab/(b + c)

xab/(b + c) = a

Answer:

9

Step-by-step explanation:

Rewrite  27  as  3 ³.

(3³)[tex]\frac{1}{3}[/tex]

Apply the power rule and multiply exponents,  [tex](a^{m})^{n} =a^{mn}[/tex]

3³([tex]\frac{1}{3}[/tex])

The simplified value of exponential expression27(1/3) is about equivalent to 3.

Here, we have,

give that,

the expression is 27^1/3.

We know,

An exponential expression is a mathematical expression that requires raising a variable to a power.

now, we get,

Rewrite  27  as  3 ³.

so, we have, (3³)^1/3

Apply the power rule and multiply exponents,  nᵃᵇ= (nᵃ)ᵇ

3³^(1/3) = 3

i.e. we have,

(27)^1/3

= (3^3)^1/3

= 3

As 3*3*3 is 27 so we can write 3^3 ...both power got cancelled hence we got 3 as a answer.

Hence, The simplified value of exponential expression27(1/3) is about equivalent to 3.

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Answer:

588

Step-by-step explanation:

Got it right on Edgen

Answer:

588

Step-by-step explanation:

i took the test

the answer is no.

bajaabjshsiwhdd

Answer:

No

Step-by-step explanation:

Answer:

y= 2/3x +3

Step-by-step explanation :

Answer:

y = 3

Step-by-step explanation:

Given

- 7y - 17 = - 38 ( add 17 to both sides )

- 7y = - 21 ( divide both sides by - 7 )

y = 3

Answer:

[tex]y=3[/tex]

Step-by-step explanation:

[tex]-7y - 17 = -38[/tex]

Add 17 both sides

[tex]-7y - 17 + 17= -38+17[/tex]

[tex]7y= -21[/tex]

Divide both sides by -7

[tex]\dfrac{-7y}{-7}=\dfrac{-21}{-7}[/tex]

[tex]y=3[/tex]

Answer:65

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

Answer:

x -7 < -4

Step-by-step explanation: