4 granola bars are shared equally between 8 people what fraction of a granola bar does each person receive

Using division and multiplication, the values of the operation are 5/4, 203/6, 1/3 and 32/21 respectively

Division of numbers is the process of breaking down a number into definite proportions of value. In dividing a number, we are reducing it's size by a specific factor. The number to be divided is the dividend. The number by which we divide is the divisor.

In the question given, we have several division operations to carry out.

A) 5/11 ÷ 4/11

Since this are fractions, when we take the inverse of one of the values, we change the sign to multiplication.

5/11 * 11 / 4

This becomes 5/4

B) 29 ÷ 6 / 7

We can also do the same thing we did above by simply taking the inverse of the divisor and then change the sign to multiplication.

29 × 7 / 6 = 203/6

C) 5/9 ÷ 1 2/3

We have to first convert the mixed fraction into an improper fraction and the take the inverse of it and multiply.

5/9 ÷ 5/3

5/9 × 3/5 = 3/ 9 = 1/3

D) 5 3/5 ÷ 3 1/2

We also change the mixed fraction into improper fraction and then take inverse before multiplying.

16/3 ÷ 7/2

16/3 × 2/ 7 = 32/21

Learn more on division here;

https://brainly.com/question/4721701

#SPJ1

The probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

Let's use the formula for calculating the probability of the intersection of two events: P(A and B) = P(A) × P(B|A), where P(B|A) is the probability of event B occurring given that event A has occurred.

Let A be the event that it is raining, and B be the event that the flight is delayed. We are looking for P(A and B).

We know that:

P(A) = 0.1 (the probability that it will rain)

P(B) = 0.11 (the probability that the flight will be delayed)

P(not A and not B) = 0.88 (the probability that it will not rain and the flight will leave on time)

We can use the complement rule to find P(A or B):

P(A or B) = 1 - P(not A and not B)

P(A or B) = 1 - 0.88

P(A or B) = 0.12

Now we can use the formula for the intersection of two events:

P(A and B) = P(A) × P(B|A)

We know that P(A) = 0.1, and we need to find P(B|A), the probability of the flight being delayed given that it is raining.

We can use Bayes' theorem to find P(B|A):

P(B|A) = P(A and B) / P(A)

P(B|A) = (P(A) × P(B|A)) / P(A)

P(B|A) = P(B and A) / P(A)

We can rearrange this to get:

P(A and B) = P(B|A) × P(A)

Substituting the values we know:

P(B|A) = P(A and B) / P(A)

0.11 = P(A and B) / 0.1

P(A and B) = 0.11 × 0.1

P(A and B) = 0.011

Therefore, the probability that it is raining and the flight is delayed is 0.011, or approximately 0.011 rounded to the nearest thousandth.

to know more about probability

brainly.com/question/30034780

#SPJ1

Answer:

Step-by-step explanation:

If y= -5 when x= -20  that means x is 4 times y

y=  8.75  when x= 35

Answer:

Our equation is:

\(\displaystyle y=-\frac{1}{4}x\)

When x=35, y=-35/4 or -8.75.

Step-by-step explanation:

We know that y varies directly with x.

The standard equation is:

\(y=kx\)

We know that y is 5 when x is -20.

So, let’s substitute 5 for y and -20 for x and solve for k, our constant of variation. So:

\(5=k(-20)\)

Divide both sides by -20:

\(\displaystyle k=-\frac{1}{4}\)

Therefore, our constant of variation is -1/4.

Hence, our equation is:

\(\displaystyle y=-\frac{1}{4}x\)

To find y when x=35, let’s substitute 35 for x. So:

\(\displaystyle y=-\frac{1}{4}(35)=-\frac{35}{4}=-8.75\)

So, when x=35, y=-8.75.

The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

for such more question on Kevin's account

https://brainly.com/question/26866234

#SPJ11

Answer:

slope intercept form: y= -6x+3

point slope form: y-0= -6(x -1/2)

Step-by-step explanation:

point slope form: y - y1 = m(x - x1)

substitute the values  y-0=-6(x-1/2)

slope intercept form:

find the slope using two given points

m = (y2 - y1) / (x2 - x1)

= (3 - 0) / (0 - 1/2)

= 3 / (-1/2)

= -6

substitute into equation

y= -6x+3

Answer:

Notice that:

Therefore:

The above equation implies that h(x) is an even function.

Answer:yesStep-by-step explanation:

yes

Answer: Your answer is 23.5in²

Hope it helped :D

Good Luck!

The answer to the expression is  (x+3)/(x-1)

You should recall that a quadratic expression is an algebraic expression of the form ax2 + bx + c = 0, where a ≠ 0

The given expressions are

(x² - 3x - 18) / (x²- 7x +6

(x²-6x +3x +19) / (x²-x -6x +6)

This implies that {(x²-6x)+(3x-18)} / {(x²-x) -(6x+6)}

⇒[x(x-6)+3(x-6)] / [x(x-1) - 6(x-1)]

This means that [(x+3)(x-6)] / [(x-6)(x-1)]

Dividing by (x-6) to have

Therefore the value of the expression is (x+3)/(x-1)

Learn more about quadratic expression on https://brainly.com/question/31368124

#SPJ1

Answer:

43/50

Step-by-step explanation:

Answer:

43\50

Step-by-step explanation:

Convert to a mixed number by placing the numbers to the right of the decimal point over 100. Reduce the fraction

The correct answer is a. -∞, f(x) → -∞; x → ∞, f(x) → ∞b. -∞, f(x) → -∞; x → ∞, f(x) → ∞c. -∞, f(x) → -∞; x → ∞, f(x) → ∞d. -∞, f(x) → -∞; x → ∞, f(x) → -∞

For the polynomial function f(x) = 6x^5 + 7x^2 + 7x + 9, the leading coefficient is 6 (the coefficient of the highest-degree term). The degree of the polynomial is 5, which is odd.

According to the Leading Coefficient Test, when the degree of the polynomial is odd and the leading coefficient is positive (in this case, positive 6), the end behavior of the graph is as follows:

- As x approaches negative infinity (-∞), f(x) approaches negative infinity (-∞).

- As x approaches positive infinity (∞), f(x) approaches positive infinity (∞).

For the polynomial function f(x) = 61x^11 + 7x^2 + 2x + 8, the leading coefficient is 61 (the coefficient of the highest-degree term). The degree of the polynomial is 11, which is odd.

Using the Leading Coefficient Test, we can determine the end behavior:

- As x approaches negative infinity (-∞), f(x) approaches negative infinity (-∞) since the leading coefficient is positive.

- As x approaches positive infinity (∞), f(x) also approaches positive infinity (∞) due to the same reason.

For the polynomial function f(x) = 5x^8 + 3x^2 + 2x + 9, the leading coefficient is 5 (the coefficient of the highest-degree term). The degree of the polynomial is 8, which is even.

Applying the Leading Coefficient Test:

- As x approaches negative infinity (-∞), f(x) approaches positive infinity (∞) because the leading coefficient is positive.

- As x approaches positive infinity (∞), f(x) also approaches positive infinity (∞) for the same reason.

For the polynomial function f(x) = -2x^8 + 6x^2 + 4x + 9, the leading coefficient is -2 (the coefficient of the highest-degree term). The degree of the polynomial is 8, which is even.

Using the Leading Coefficient Test:

- As x approaches negative infinity (-∞), f(x) approaches negative infinity (-∞) since the leading coefficient is negative.

- As x approaches positive infinity (∞), f(x) approaches negative infinity (-∞) due to the same reason.

For more such questions on polynomial function

https://brainly.com/question/31528136

#SPJ8

Answer:

.70 Kilograms

Step-by-step explanation:

Since both pecans, and almonds are nut.

You add 0.54+0.16 and you get 0.70.

Answer:

15,240,960 numbers

Step-by-step explanation:

To solve this were going to use the principle of permutations. The formula for permutation is given as

P = n! / (n - r)!

Now, the question specifically stated that repeats aren't tolerated, thus for the needed number of serial numbers would be gotten by multiplying the permutation is 4 and 9, by that of the permutation of 4 and 10.

We then have something that is looking like this

Permutation of 4 and 9.

P = 9! / (9 - 4)!

P = 9! / 5!

P = 362,880 / 120

P = 3,024

Permutation of 4 and 10

P = 10! / (10 - 4)!

P = 10! / 6!

P = 3,628,800 / 720

P = 5,040

Multiplying both together would then fetch us our final answer

N = 5,040 * 3,024

N = 15,240,960

The constant that will be used in Digby's linear inequality will be 8.

What are linear inequalities, exactly?

Inequality is a mathematical statement that states that neither side is equal. When a link causes a non-equal comparison between two expressions, an inequality develops. The inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠), replace the equal sign "=" in the sentence. In mathematics, inequalities are classified into three types: polynomial inequalities, rational inequalities, and absolute value inequalities.

The characters '<' and '>' denote severe inequalities, whereas " ≤ and ≥ " denote slack inequalities.

Now,

Given that The temperature during a winter day was less than 8 degrees Fahrenheit.

let x be the temperature in degree Fahrenheit

then the linear inequality to show the statement will be

x<8 where 8 is a constant

Hence,

          The constant that will be used in Digby's linear inequality will be 8.

To know more about linear inequalities visit the link

https://brainly.com/question/11897796?referrer=searchResults

#SPJ1

Answer:

The awnser is 8.

Step-by-step explanation:

i just know<33

Answer:

B (middle one)

Step-by-step explanation:

The total number of workers that were studied can be found to be 139,340,000.

The percent of workers unemployed would be 5. 4 %.

Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.

Number of employed workers :

= 74,624,000 + 64, 716, 000

= 139,340,000

Percentage unemployed :

= ( 4, 209,000 + 3,314,000 ) / 139,340,000

= 5. 4 %

Percentage of unemployed men :

= 4,209,000 / 74,624,000

= 5.6 %

Percentage of unemployed women:

= 3,314,000 / 64, 716, 000

= 5. 1 %

Find out more on unemployment at https://brainly.com/question/13280244

#SPJ1

The full question is:

a. How many workers were studied?

b. What percent of the workers were unemployed?

c. Compare the percent unemployed for the men and the women.

Answer:

300,000$

Step-by-step explanation

Based on the given conditions,

formulate:

150,000 x (100% + 100%)

•••••••••••••••••••••••••••••••••

150,000 x (1 + 1)

= 150,000 x 2

= 300,000

{ Alternative Forms: 3 x 10⁵ }

Answer:

Ben bought a Rolex for $150,000 with a 100% markup, It will cost 300,000$

•♣••♠••♣••♠••♣••♠••♣••♠••♣•

Answer:

$300,000

Step-by-step explanation:

It's probably the Rolex Daytona Cosmograph Rainbow.

Answer:

\( \sf \large \: x≤6 \: or \: x≥10\)

Step-by-step explanation:

Let's solve your inequality step-by-step.

x2−16x+60≥0

Let's find the critical points of the inequality.

x2−16x+60=0

(x−6)(x−10)=0(Factor left side of equation)

x−6=0 or x−10=0(Set factors equal to 0)

x=6 or x=10

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x≤6(Works in original inequality)

6≤x≤10(Doesn't work in original inequality)

x≥10(Works in original inequality)

Answer:

on the number line the blue dot is co ordinate 4.9

Answer:Answer: $7.50

Step-by-step explanation:

$55-$10=$45  45/6=7.5

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

The area of a parallelogram is base * height.

Base = 12

Height = 7

12 * 7 = 84

Answer:

Brainliest!

Step-by-step explanation:

12 x 7 = 84

that is how to find areas of parallelograms

Answer:

1. 1/2(3n-5)

2. -13

Step-by-step explanation:

1. 1/2(3n-5)

2. 1/2(-21-5)

1/2(-26)

1/2x-26

-13

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

For more questions on arc length

https://brainly.com/question/31341388

#SPJ8

The domain value that corresponds to a range value of 4 is,

⇒ x = 1/2

Given that;

Function is,

y = 4x + 2

Since, the equation equal to the range value:

4 = 4x + 2

Then, we can solve for "x":

4 - 2 = 4x

2 = 4x

x = 1/2

Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:

y = 4x + 2

y = 4(1/2) + 2

y = 4 + 2

y = 6

Therefore, the domain value that corresponds to a range value of 4 is,

⇒  x = 1/2

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

Answer:

3:8

Step-by-step explanation:

When you have 16 apples and 6 bananas. The Ratio is originally 6:16, but when you simplify it by dividing it by 2. You get 3:8

Answer:

16 apples

6 bananas

6 : 16 = bananas to apples

Can be simplified to:

3 : 8

So, the first answer is correct.

Hope this helps!

The distance between the points (-5,4) and (1,0) is  7.21 .

In the question ,

it is given that ,

the two points are (-5,4) and (1,0) ,

we  have to find the distance between them .

we know that the distance between the points (x₁ , y₁) and (x₂ , y₂) is calculated using the distance formula

distance = √(y₂ - y₁)² + (x₂ - x₁)²

Substituting the values of the points , we get

distance = √(0 - 4)² + (1 -(-5))²

= √(-4)² + (1 + 5)²

= √16 + (6)²

= √16 + 36

= √52

= 7.21111

≈ 7.21

Therefore , The distance between the points (-5,4) and (1,0) is  7.21  .

Learn more about Distance here

https://brainly.com/question/17986919

#SPJ9