Into a mixed number btw. Marcos talks to his grandfather in Alabama for about 95 minutes per month about how long does her talk each day on average? (Hint: use 1 month=30 days)

Answer:

It's x = 12 (d)

Step-by-step explanation:

Subtract 4 on both sides: (16 - 4) - x = (4 - 4)

12 - x = 0

Then add x on both sides: 12 (- x + x) = (0 + x)

12 = x

Therefore x = 12

In conclusion the expression becomes:

1/10 + 81/100 = 0.1 + 0.81 = 0.91

And we can see that the sum is indeed less than 1.

How to solve?

To find the missing numerator, we need to simplify the expression first:

?/10 + 81/100 = ?/10 + 81/10 * 1/10 = ?/10 + 0.81

Now we want the sum to be less than 1, so we can set up the inequality:

?/10 + 0.81 < 1

Subtracting 0.81 from both sides, we get:

?/10 < 0.19

Multiplying both sides by 10, we get:

? < 1.9

So the missing numerator must be a nonzero integer less than 1.9 when multiplied by 10. The only integer that satisfies this condition is 1, so the missing numerator is 1.

Therefore, the expression becomes:

1/10 + 81/100 = 0.1 + 0.81 = 0.91

And we can see that the sum is indeed less than 1.

To know more about equation related question visit:

https://brainly.com/question/29657983

#SPJ1

The value of n that will make the expression equal is 13

Equations are expressions separated by equal sign

Given the equation

11n = 143

Divide both sides by 11 to have;

11n/11 = 143/11

n = 13

Hence the value of n that will make the expression equal is 13

Learn more on linear equation here; https://brainly.com/question/2030026

#SPJ1

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

Learn more about Prism here:

https://brainly.com/question/12649592

#SPJ1

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

learn more on similar triangle here: https://brainly.com/question/29191745

#SPJ1

5x+7x=660;

12x=660;

x=660:12;

x=55 (kg).

Then 5x=5×55=275 kg and 7x=7×55= 385 kg.

The required ratio is therefore

660= 275:385.

The probability for randomly removing marbles with replacement is 0.044

The given parameters are:

Red = 4

Green = 6

Yellow = 8

This means that

Total = 18

The probability for randomly removing marbles with replacement is represented as:

P = P(Yellow) * P(Yellow) * P(Red)

So, we have

P = 8/18 * 8/18 * 4/18

Simplify

P = 4/9 * 4/9 * 2/9

Evaluate

P = 0.044

Hence, the probability for randomly removing marbles with replacement is 0.044

Read more about probability at

https://brainly.com/question/24756209

#SPJ1

9514 1404 393

Explanation:

Stacy can write two equations showing the relationships of the angles:

  ∠1 +∠2 +∠3 = 180° . . . . . . . sum of angles in a triangle

  ∠2 +∠4 = 180° . . . . . . . . . . angles of a linear pair are supplementary

__

Subtracting the second equation from the first gives ...

  (∠1 +∠2 +∠3) -(∠2 +∠4) = (180°) -(180°)

  ∠1 +∠3 -∠4 = 0

Adding ∠4 to both sides gives the relationship Stacy is looking for:

  ∠1 +∠3 = ∠4

_____

Alternative approach

Stacy could subtract ∠2 from both equations to give ...

  ∠1 +∠3 = 180° -∠2

  ∠4 = 180° -∠2

Then she could equate the two expressions for 180° -∠2:

  ∠1 +∠3 = ∠4

Answer:

Step-by-step explanation:

Answer:

The width is 8 units

Step-by-step explanation:

This is a variation problem we are to work with.

Length is inversely proportional to width, let length be l and width be w

modeling the statement mathematically, we have lw = k where k is the proportionality constant

Now let’s get k from l = 12 and w = 6

k = 12 * 6 = 72

Now for the second rectangle also;

lw = k given l = 9

9w = 72

w = 72/9

w = 8

Answer:

area of one pie : πr² = π d²/4 = π× 2²/4 = π ≈ 3.14

Answer:

9

Step-by-step explanation:

this is because it is 9 and it could be 9

Answer:

First let's find what (5x7) + (5x9) equals;

(5x7) + (5x9)

35 + 45

= 80

Now 80 has to equal to;

5 x (7 + y) ( where 'y' is our unknown number)

So we set up the equation:-

80 = 5 x (7 + y)

80 = 35 + 5y

-35      -35

45 = 5y

/5    /5

9 = y

Let's double check:

80 = 5 x (7 + y)

80 = 5 x (7 + 9)

80 = 35 + 45

80 = 80, we are correct.

Among the four options provided, the benefits of consumer program are that they help prosecute companies that sell unsafe products to consumers and they also help consumers identify the best product reviews from various sources.

As per the question statement, we are required to determine the options from the given four, which are the best possible matches to being benefits of consumer program.

To solve this question, we will check for the possibility of every option by logical reasoning.

Option (A) is "They help prosecute company’s that sell unsafe products" which is true, and thus protects the consumer against frauds or exploits and health issues. Hence, this is definitely a benefit of consumer program.

Option (B) is "They’re funded by taxpayers not consumers" which is illogical because taxpayers are the consumers themselves. Hence, this is not a benefit of consumer program.

Option (C) is that "They help maintain industry standards by issuing professional licenses" which is false because forum has nothing to do with issuing licenses; It ensures that consumers are served with best quality products at the best prices and takes legal action against fraudulency. Hence, this is not a benefit of consumer program.

Finally, Option (D) is that "They help consumers identify the best product reviews from various sources" which is true. Hence, this is definitely another benefit of consumer program.

To learn more about Consumer Program, click on the link below.

https://brainly.com/question/15712633

#SPJ1

Answer:

\(355 + \frac{12}{100 } \times 355 \\ = 397.6\)

Answer:

397.60

Step-by-step explanation:

Old value                   Increased by                      New value

 100                               12                                          112

 355                               12                                           x

Let the unknown new value be x.

So, we can make an expression like this.

100  ⇒   112

355  ⇒  x

Use cross multiplication and find the value of x.

100x = 112 × 355

100x = 39760

Divide both sides by 100.

x = 397.60

Therefore,

355 increased by 12% = 397.60

The solution to the inequality 1 + 3r > 10 is r > 3.

This means that any value of r greater than 3 will satisfy the inequality.

To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.

Let's begin by subtracting 1 from both sides of the inequality:

1 + 3r - 1 > 10 - 1

This simplifies to:

3r > 9

Next, we can divide both sides of the inequality by 3 to solve for r:

(3r)/3 > 9/3

This simplifies to:

r > 3

For similar question on inequality.

https://brainly.com/question/30604125  

#SPJ8

Answer:

A, B, and C

Step-by-step explanation:

The true statements are B, C and E.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a graph of the amount of water in a bathtub with respect to time.

A) This statement means that the slope of the line at 10 : 01 pm is smaller than that of at 10 : 14 pm.

The line is steeper at 10:01 pm than that at 10:14 pm. That is the tangent of the angle making with the x axis at 10:01 pm is higher than that at 10:14 pm.

So the tub is filling at a faster rate at 10:01 pm than at 10:14 pm.

B) At 10:06 pm, the amount of water is constant at 30 gallons. So this statement is correct.

C) The maximum amount of water in the tub was about 35 gallons is a correct statement since after that the tub was draining.

D) The amount of water in the tub stayed the same from 10:16 pm to 10:20 pm is not correct, since the water was draining during the time and thus, water was decreasing.

E) It took 4 minutes for the tub to drain. It is correct since the draining starts at 10:16 pm and ends at 10:20 pm.

Hence the correct statements are B, C and E.

Learn more about Slope here :

https://brainly.com/question/3605446

#SPJ2

9514 1404 393

Answer:

  -1350°

Step-by-step explanation:

π radians is 180°, so you have ...

  -15(180°)/2 = -1350°

Using distributive property, the solution to the given expression is: 50v - 40w + 20

The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

For example:

4(3 + 5)

According to the distributive property, you first have to multiply out the bracket to get:

4*3 + 4*5 = 12 + 20

= 32

Thus:

5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)

= 50v - 40w + 20

Read more about Distributive property at: https://brainly.com/question/4077386

#SPJ1

So, each farmer pays the following amounts: The first farmer pays 738.40 euros. The second farmer pays 443.04 euros. The third farmer pays 418.56 euros

Proportion refers to the equality of two ratios. In other words, when two ratios are set equal to each other, they form a proportion. A proportion is typically written in the form of two fractions separated by an equals sign, such as a/b = c/d. Proportions are commonly used in mathematics to solve problems involving ratios and proportions, such as finding missing values or scaling up or down a given quantity.

Here,

To find out how much each farmer pays, we need to determine the proportion of the total rent that each farmer owes based on the number of sheep they have. First, we need to find the total number of sheep:

120 + 72 + 68 = 260

The first farmer has 120 sheep, which is 46.15% of the total number of sheep (120/260). Therefore, the first farmer owes 46.15% of the rent:

0.4615 x 1600 = 738.40 euros

Similarly, the second farmer has 72 sheep, which is 27.69% of the total number of sheep (72/260). Therefore, the second farmer owes 27.69% of the rent:

0.2769 x 1600 = 443.04 euros

The third farmer has 68 sheep, which is 26.15% of the total number of sheep (68/260). Therefore, the third farmer owes 26.15% of the rent:

0.2615 x 1600 = 418.56 euros

To know more about proportion,

https://brainly.com/question/29474065

#SPJ1

Complete question:

The rent of 1600 euros for a piece of land is divided among three farmers who graze their sheep there. As they do not have the same number of sheep, they decide to pay proportionally according to the number of sheep each has. If the first one has 120 sheep, the second 72, and the third 68. How much does each one pay?

The salary Mr. Keon spent 1510 on food, rent, clothes, and transport.

The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

If y is the amount of money Mr. Keon spent on food and clothes and x is Mr. Keon's salary.

Then the linear function for the relation between x and y is:

y = ( 5/8) × (x)

y = (5/8)x

The salary of Mr. Keon is 2416.

Now, Mr. Keon spent 5/8 of his salary on food, rent, clothes, and transport.

Let x be the money she spent.

Then,

x = 5/8 of Mr. Keon's salary

x = ( 5/8 ) × 2416

x = ( 2416 × 5 ) / 8

x = 12080 / 8

x = 1510

Learn more about function here:

https://brainly.com/question/22340031

#SPJ9

The numbered spot at which all the runners will be next to one another is spot 19.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

To learn more about the LCM;

https://brainly.com/question/20739723

#SPJ1

Answer:

No i don't know needed the point bye

Step-by-step explanation:

Answer:

($3.75)n ≤ $20

Step-by-step explanation:

Represent this number by n.  Then the total purchase price can be represented by ($3.75)n ≤ $20, which is appropriate because Cooper can't spend more than $20.

The desired inequality is ($3.75)n ≤ $20.  If a solution is desired, divide both sides by $3/75):

        $20

n ≤ ______ = 5 1/3.

      $3.75

Cooper can purchase up to 5 whole packs of paper and have a bit of money left over.

Step-by-step explanation:

let the value of x be -11

so,

-4(-11)+5>45

44+5>45

49>45

hence proved.....

thanku so much.....

please check the other answers also.... it's only my point of view .....

Step-by-step explanation: 23 is the answer

23+24+25=72

Answer:

1

Step-by-step explanation:

We can see that 7 is equal to 6, as opposite angles are the same.

We can also see that 2 is also 6, as corresponding angles are equivalent.

Therefore, 3 is also congruent to 6, as it is equal to 2.

Hope that this helps!