Sal's snack mix uses 4 cups of chips mixed with 1 cup of pretzels to make a total of 5 cups of snack mix. What percent of the total snack mix recipe are the pretzels?

Answer:

2, 0.5 and 0.25.

Step-by-step explanation:

The nth term an = a1r^(n-1)  where a1 = first term and r = the common ratio.

The sum to infinity = a1/(1-r)  for  -1 < r < 1.

So we have:

Second term a2 = 1 = a1(r)(2-1) = a1r and

4 = a1/(1 - r)

From the first equation:

a1 =1/r

So substituting in the second equation:

4 = 1/ r / (1 - r)

4 = 1 / r - r^2

4r - 4r^2 = 1

4r^2 - 4r + 1 = 0

(2r - 1)(2r - 1) = 0

r = 0.5

So the first term  a1 = 1/ r =1/0.5 = 2.

The third = 1*0.5 = 0.5

and the 4th = 0.5*0.5 = 0.25.

Answer: [tex]28.3\ hr[/tex]

Step-by-step explanation:

Given

Charge of the site visit [tex]\$45[/tex]

Additional charge per hour is [tex]\$24\ \text{per hour}[/tex]

He eaned [tex]\$810[/tex]

Suppose he worked for x hours

[tex]\therefore 810=45+24x\\\text{On solving}[/tex]

[tex]\Rightarrow 765=24x\\\Rightarrow x=28.3\ hr[/tex]

Answer:

27

Step-by-step explanation:

1. Using PEMDAS, you would start with all numbers inside the parentheses

2. Next inside the parentheses are exponents

3² = 3*3 = 9

2³ = 2*2*2 = 4*2 = 8

2² = 2*2 = 4

3. Go back inside the parenthese now that everything is multiplied out

[tex]\frac{9 *(8+4) }{4}[/tex] = 9* ( 12)/4 = 108/4

4. Simplify the fraction by dividing 108 by 4

108 ÷ 4 = 27

Answer:

$4031.75

Step-by-step explanation:

Amt after 10 years = 3000(1 + 0.03)^10

= 4031.749

Answer: . -5=2x+11

Step-by-step explanation:

Answer:

116

Step-by-step explanation:

it says in the description that 116 people in new york wear nike's

Answer:

C. Move 3 units to the right and 5 units up, and draw a dot at that point.

Step-by-step explanation:

My YT is YoungGodlyFN is this helped!

Answer:

5: independent, 6:independent, 7:independent, 8:dependent, 9:dependent

Step-by-step explanation:

5 is independent because the first roll of the die does nothing to affect the second.

6 is independent because the first flip of the coin does nothing to affect the second

7 is independent because the first draw from the bag does nothing to impact the second, if they didn't place a marble back then it would become dependent.

8 is dependent because by keeping the first marble you change the odds for the second draw. The second draw depends on the first.

9 is dependent because there is a set amount of names placed into this raffle. Say to start you have 12. That means you have a 1/12 chance of being chosen. Once your name is drawn it goes up to a 1/11 chance. The first action directly impacts the second making it dependent.

Answer:

The common multiple for 30 21 and 24 is 3

Step-by-step explanation:

30 = 3 × 10

21 = 3 × 7

24 = 3 × 8

Thus, 3 is the common multiple for 30 21 and 24.

-TheUnknownScientist

Answer:

500 would be the answer of this question but it is also the standard form of this question

Answer:

G

Step-by-step explanation:

when x is inputed it will give only one answer.

Answer:

i belive it is the first one.

Step-by-step explanation:

Answer:no clue

Step-by-step explanation:

i need the points im sorry

Answer:

x ≈ 2.3

Step-by-step explanation:

Given

x³ = 12 ( take the cube root of both sides )

x = [tex]\sqrt[3]{12}[/tex] ≈ 2.3 ( to 1 dec. place )

Answer:

69420

Step-by-step explanation:

Answer:

13.67

Step-by-step explanation:

7x-15=58

7x= 73

x=10.42

Answer:

x = 8

Step-by-step explanation:

Given is an isosceles triangle.

Measures of two sides of an isosceles triangle are equal.

Therefore,

7x - 15 = 3x + 17

7x - 3x = 17 + 15

4x = 32

x = 32/4

x = 8

Answer:

23

Step-by-step explanation:

20,22,24,26

(22+24)/2 = 23

Hope this helps my bad if its wrong

The middle value of the data set in the table given, which is the median, is: 22.

The middle value of an ordered data set is the median of the data, which is also called the center of the data set.

Given the table, the middle value is the 5th data point, which lies at 22.

Therefore, the median of the data in the table is: 22.

Learn more about median of a data on:

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Answer:

0.45/1 = (0.45 × 100)/(1 × 100) = 45/100.

Step-by-step explanation:

Answer:

There are three pieces per bundle.

Answer:

y = - [tex]\frac{4}{5}[/tex] x - 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 12) and (x₂, y₂ ) = (10, 4)

m = [tex]\frac{4-12}{10-0}[/tex] = [tex]\frac{-8}{10}[/tex] = - [tex]\frac{4}{5}[/tex] ← slope of line L

Parallel lines have equal slopes , then

y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, - 11) into the partial equation

- 11 = - 4 + c ⇒ c = - 11 + 4 = - 7

y = - [tex]\frac{4}{5}[/tex] x - 7 ← equation of parallel line

The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;

⇒ y = - 4/5x - 7

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The straight line L passes through the points (0 , 12) and (10 , 4).

And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).

Now,

Since, The straight line L passes through the points (0 , 12) and (10 , 4).

So, Equation of line L is,

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 12 = (4 - 12) / (10 - 0)  (x - 0)

⇒ y - 12 = - 8 / 10x

⇒ 10 (y - 12) = - 8x

⇒ 10y - 120 = - 8x

⇒ 10y = - 8x + 120

⇒ y = - 8/10x + 12

⇒ y = - 4/5x + 12

And, The equation of the straight line which is parallel to L and passes through the point (5 , -11).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = -4/5x + 12

m = dy/dx = - 4/5

m = - 4/5

Thus, The equation of line with slope 1- 4/5 is,

⇒ y - (-11) = - 4/5 (x - 5)

⇒ y + 11 = - 4/5 (x - 5)

⇒ 5 (y + 11) = - 4x + 20

⇒ 5y + 55 = - 4x + 20

⇒ 5y = - 4x + 20 - 55

⇒ 5y = - 4x - 35

⇒ y = - 4/5x - 7

Thus, The equation of the straight line which is parallel to L and passes through the point (5 , -11) will be;

⇒ y = - 4/5x - 7

Learn more about the equation of line visit:

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Answer:

Final amount after 11 years = $4021.97

Step-by-step explanation:

We will use the formula to get the final amount after t years,

Final amount = [tex]a(1+\frac{r}{n})^{nt}[/tex]

here a = Initial amount

r = Rate of interest

n = Number of compounding in a year

For Initial amount 'a' = $1500

r = 9%

t = 11 years

n = 12 [Compounded monthly]

F = [tex]1500(1+\frac{9}{12})^{12\times 11}[/tex]

  = $4021.97

Answer:

4

Step-by-step explanation:

rllly

Answer:

10.5 units²

Step-by-step explanation:

Area of trapezoid = ½(a + b)h

where,

a = SK = 2 units

b = OC = 5 units

h = SO = 3 units

Plug in the values

Area = ½(2 + 5)*3

Area = ½(7)*3

Area = 10.5 units²

Answer:

24179 square inches

Step-by-step explanation:

In ΔRST, r = 620 inches, s = 840 inches and t=230 inches. Find the area of ΔRST to the nearest square inch.

We use the formula

Heron's formula = √s(s - a)(s - b)(s - c)

Where s = a + b + c/2

Solving for s

s = 620 + 840 + 230/2

s = 845

Solving for the area of the triangle

= √845 × (845 - 620) × (845 - 840) × (845 - 230)

= √584634375

= 24,179.213696893 square inches

Approximately = 24179 square inches

Answer:

I believe Jamal is correct, because he is just doing it an easy way. Instead of converting the mixed number to an improper fraction he is adding the measurements step by step.

Hope it Helps!

:)

Answer:

QUESTION:

How do I shift the function a(x)=|x|+3 2 units to the right?

ANSWER:

Try Math___way I always go there for help when no one can help me here. Just type in your math question and you get instant answers and an explanation.

Step-by-step explanation:

Hope that this helps you out! :)        

If you have any questions please put them in the comment section below this answer.        

Have a great rest of your day/night!        

Please thank me on my profile if this answer has helped you.

Step-by-step explanation:

Given,

1. The given expression is [tex]\sqrt[10]{x^9}[/tex].

We need to write it into exponential form.

We know that,

[tex]\sqrt[a]{x} =x^{1/a}[/tex]

Here, a = 10

So,

[tex]\sqrt[10]{x^9}=(x^9)^{1/10}\\\\=x^{9\times \dfrac{1}{10}}\\\\=x^{9/10}\\\\=x^{0.1}[/tex]

2.

[tex](\sqrt[4]{3y} )^3\\\\=((3y)^3)^{1/4}\\\\=3^{3\times \dfrac{1}{4}}\times y^{3\times \dfrac{1}{4}}\\\\=3^{3/4}y^{3/4}[/tex]

Hence, this is the required solution.

Answer:

I don't know but if it feels like you shouldn't be doing it then don't

Step-by-step explanation:

Answer:

You won't get in huge trouble but it probably wouldn't be the smartest thing to have them. if you think you can play good with them then you are fine! you should double check with the coach, because every school or team has different rules!

Answer:123456780-0987654321234567876543212345676543212

Step-by-step explanation:UGLY FAT Pig took 5000 kids in his basement and he ate them but they were fake kids and they were bombs and he heard the beep bep beep sound but instead of beep it was ugly fat pig and he die this is your only right answer

Answer:

Irrational means you have a never ending number such as 8.90919273788..... A rational number means it ends such as 36 or 5.113