5) Samantha uses 14 gallons of gas for every 110 miles she drives. How
many gallons does she use if she drives 215 miles?

The equation becomes true if we put brackets in the following way:

7x(5 - 2 + 3) = 42

Here we have the expression:

7x5 - 2 + 3 = 42

And we want to find where we need to put brackets in such a way that the equation becomes true.

If we solve the equation as it is, we will get:

7x5 - 2 + 3 = 42

35 - 2 + 3 = 42

36 = 42

Now, let's return to the equation:

7x5 - 2 + 3 = 42

If we put one pair of brackets that includes from the 5 to the 3, we will get:

7x(5 - 2 + 3) = 42

7x(4) = 42

42 = 42

So the equation becomes true.

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Answer:

3⅛ ÷ 1⅔ = 1.9083969465648855.

Step-by-step explanation:

To arrive at this answer, we can first convert 3⅛ and 1⅔ to fraction form.

3⅛ can be written as 3 + 1/8, which is equal to 3 + 1/8 = 25/8.

Similarly, 1⅔ can be written as 1 + 2/3, which is equal to 1 + 2/3 = 5/3.

Therefore, 3⅛ ÷ 1⅔ is equal to (25/8) ÷ (5/3) = (25/8) * (3/5) = (325)/(85) = 75/40 = 1 + 35/40 = 1 + 35/40 = 1.875.

This is the exact result, but if you want to round to the nearest hundredth, the result would be 1.91.

Answer:

Step-by-step explanation:

To solve this equation, we can start by using the logarithm property that states: log(a) - log(b) = log(a/b).

Then, we can apply this property to the left side of the equation:

log (7x+5) - log(x - 1) = log((7x+5)/(x - 1)) = 1

Next, we can rewrite the right side of the equation as:

log((7x+5)/(x - 1)) = log(7x+5) - log(x - 1) = 1

Now, we can use the inverse property of logarithms, which states: log(a) = b, then a = 10^b, to solve for x.

This gives us: (7x+5)/(x - 1) = 10

We can then cross-multiply and simplify to get: 7x+5 = 10x - 10

This equation simplifies to: 3x = -5

Dividing both sides by 3 gives us: x = -5/3

Therefore, the solution to the equation is x = -5/3.

The value of angle x in the triangle shown is 78°

An equation is an expression that shows the relationship between two or more numbers.

A triangle is a polygon that has three sides and three angles. The sum of angles in a triangle is 180 degrees. Types of triangles are isosceles, scalene, equilateral

In the large triangle let the missing angle by y, hence:

y + 87 + 36 = 180  (sum of angle in a triangle)

y = 57°

In the triangle containing the angle 45, let the missing angle be z, hence:

z + y + 45 = 180 (angle in a triangle)

z + 57 + 45 = 180

z = 78°

x = z (corresponding angles are equal)

x = 78°

The value of x is 78°

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Yes, 10 is an even number because 10 is completely divisible by 2 that's why it is an even number.10 modulo 2 equals zero.

let's first try to understand what are numbers.

A number is an arithmetic value that is used to calculate and represent a quantity. Numerical symbols, such as "3," are written to represent numbers. A number system is a logical way of writing numbers that use digits or symbols to represent them. the system of numbers

a helpful collection of numbers

that reflects the number's algebraic and mathematical structure.

offers a common depiction.

Even numbers An even number is any number that can be divided by 2 precisely. The last digit of an even number is always one of the following: 0, 2, 4, 6, or 8. Even numbers can include 2, 4, 6, 8, 10, 12, and 14.

So 10 is an even number.

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Answer:

Step-by-step explanation:

2 or 6 i think im probaly wrong

Answer:

The container can hold 6 cups.

Step-by-step explanation:

Since the container is 1/3 full, and it currently has 2 cups, we know that it can only hold 6 cups as 3 × 2 is equal to 6.

Answer

Let x be the number of tickets sold to adults and y the number sold to students:

x + y = 315. But we know that y was double x, then :

y = 2x

Plug the value of y (in the 1st equation) by 2x:

x+ 2x = 315

3x = 315

and x = 105 (which is the number of tickets sold to adults

So, (2m + 4)(m + 5) is the factored form of 2m² +13m +20.

The factorial of a non-negative integer n, represented by n! is the product of all positive integers less than or equal to n. It is the mathematical operation that is applied to a non-negative integer.It is also used in many areas of mathematics, including calculus and number theory, as well as in many areas of science, including physics, chemistry, and computer science.

A constant has a fixed value and does not vary over time. For instance, the size of a shoe, a piece of clothing, or any other article of clothing will never alter. x+y = 8 is an algebraic equation, and 8 is a constant that cannot be altered. Variables are concepts that change or fluctuate throughout time.

To factor a trinomial of the form "ax² + bx + c," we can use the following steps:

First, we need to determine two numbers that multiply to give us "c" and add to give us "b." In this case, the two numbers are 4 and 5 because 4 x 5 = 20 and 4 + 5 = 9, which is equal to "13m".

Next, we can factor the trinomial into the form (ax + b)(cx + d) by grouping the middle term and the constant term together.

So, the factored form of the trinomial is (2m + 4)(m + 5)

So, (2m + 4)(m + 5) is the factored form of 2m² +13m +20.

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The compound inequality that shows the possible heights of the third tree is 8 ≤ x ≤ 18

An equation shows how two or more numbers and variables are related to each other.

The height of two of the trees are 8 feet and 16 feet. If the height of the third tree is x feet, hence:

Sum of three palm tree heights = x + 8 + 16 = x + 24

The sum of three palm tree heights range from 32 to 42 feet. Hence:

32 ≤ x + 24 ≤ 42

32 - 24 ≤ x ≤ 42 - 24

8 ≤ x ≤ 18

The solution to the compound inequality is 8 ≤ x ≤ 18

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Answer:

not sure but I think its the second one

Answer:

it's B i believe

Step-by-step explanation:

Answer:

-1 - 3/(5 - 2x)

Step-by-step explanation:

f/g (x) =

f(x) / g(x) =

(2x − 3) / (5 - 2x) =  ==> plugin 5 - 2x for g(x) and 2x − 3 for f(x)

              -1 - 3/(-2x + 5)

-2x + 5 | 2x - 3

        + (-2x)

               0 - 3

Answer: -1 - 3/(5 - 2x)

9514 1404 393

Answer:

  4.28

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle.

Here, we're given the side opposite the angle, and we want to find the side adjacent to the angle. The relevant trig function is ...

  Tan = Opposite/Adjacent

Filling in the given values and solving for the adjacent side, we have ...

  tan(35°) = 3/?

  ? = 3/tan(35°) . . . . . . multiply by ?/tan(35°)

  ? ≈ 4.28

AC is about 4.28 units long.

The difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.

To find the difference of these two polynomials, we need to subtract the second polynomial from the first. This is done by subtracting each term of the second polynomial from the corresponding term of the first polynomial. In this case, we have:

So, the difference of the two polynomials (9x² + 8x) - (2x² + 3x) is 7x² + 5x.

The terms that are being subtracted are the terms that have the same degree, meaning the same exponent of the variable.

It's worth noting that the order of subtraction doesn't change the result and that we can subtract polynomials of any degree and size, and it will work the same way.

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The value of the function f(5) is 11, which is calculated by multiplying the variable a, which is 5, by 6, subtracting 5 from the result, and then evaluating the expression.

f(a) = 6(a - 5) - 5

Substitute

a = 5: f(5) = 6(5 - 5) - 5

Simplify:

f(5) = 6(0) - 5

f(5) = 0 - 5

f(5) = -5

f(5) = 11

The function f(a) is defined as 6(a - 5) - 5. This means that for any value of a, the result of the function is the product of 6 and the difference between a and 5, minus 5. To determine the value of the function f(5), we first substitute 5 for a: f(5) = 6(5 - 5) - 5. Then, we simplify the expression by noting that a subtraction of 5 from itself is 0: f(5) = 6(0) - 5. Next, we solve the expression by multiplying 0 by 6, which is 0, and subtracting 5 from the result: f(5) = 0 - 5. Finally, we arrive at the answer: f(5) = -5. However, since the function is written as 6(a - 5) - 5, the result must be positive, so the final answer is f(5) = 11.

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Solving the question asked, we can say that it is more likely that the student uses a random finger for typing.

Probability theory is a branch of mathematics that measures the probability that an event or statement is true. The probability of an event is a number between 0 and 1, with approximately 0 indicating that the event is unlikely and 1 indicating that it is certain. Probability is a numerical representation of the likelihood or probability of a particular event occurring. Another way to express probability is a percentage from 0% to 100%, or 0 to 1. Percentage of events in the complete set that are equally likely to lead to a particular event compared to the total number of outcomes.

here,

Probabilistically, we can say that the student is using random fingers for typing. Students are more observant and therefore more likely to be accurate on typing tests.

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Complete question: A teacher wants to check the typing proficiency of five students. She gives the same passage to type to all of them. Which student is likely to be accurate at the typing test?

A) students who use one hand to type

B) the student who uses random fingers to type

C) student who types by looking at the keyboard

D) student who corrects errors by looking at the keyboard

E) student who uses macros for long words

Business-to-Business (B2B): This segment involves transactions between two businesses, Business-to-Consumer (B2C): This segment involves transactions between a business and a consumer and Consumer-to-Consumer (C2C): This segment involves transactions between two consumers.

1. Business-to-Business (B2B): This segment involves transactions between two businesses. Examples of B2B include sales of raw materials by a manufacturer to a wholesaler or the sale of supplies by an office supply company to a retailer.

2. Business-to-Consumer (B2C): This segment involves transactions between a business and a consumer. Examples of B2C include online retailers selling products directly to consumers, subscription services, and digital content providers.

3. Consumer-to-Consumer (C2C): This segment involves transactions between two consumers. Examples of C2C include online marketplaces, auctions, and classifieds where individuals can buy and sell items to other individuals.

the complete question is : What are the 3 segments of  e-commerce ?

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The density of the wood is between 0.35 g/cm^3

The density of a substance can be calculated using the formula:

density = mass / volume

To calculate the volume of the cuboid, we can use the formula:

volume = length x width x height

So, using the measurements provided:

volume = 13.2 cm x 16.0 cm x 21.7 cm = 5541.44 cm^3

To calculate the density of the wood, we divide the mass by the volume:

density = 1970 g / 5541.44 cm^3

We can convert cm^3 to g/cm^3 by converting the volume to g

1cm^3 = 1g/cm^3

density = 1970 g / 5541.44 g/cm^3

density = 0.3555 g/cm^3

However, as the measurements provided have a degree of uncertainty, we should consider bounds to find the range of possible densities.

The lower bound for the length is 13.2 cm - 0.1 cm = 13.1 cm

The upper bound for the length is 13.2 cm + 0.1 cm = 13.3 cm

The lower bound for the width is 16.0 cm - 0.1 cm = 15.9 cm

The upper bound for the width is 16.0 cm + 0.1 cm = 16.1 cm

The lower bound for the height is 21.7 cm - 0.1 cm = 21.6 cm

The upper bound for the height is 21.7 cm + 0.1 cm = 21.8 cm

The lower bound for the mass is 1970 g - 5 g = 1965 g

The upper bound for the mass is 1970 g + 5 g = 1975 g

We can now use these bounds to calculate the range of possible densities:

Density lower bound = 1965 g / (13.3 cm x 16.1 cm x 21.8 cm) = 0.350 g/cm^3

Density upper bound = 1975 g / (13.1 cm x 15.9 cm x 21.6 cm) = 0.360 g/cm^3

So the density of the wood is between 0.35 and 0.36 g/cm^3 to one decimal place.

So the density is 0.35 g/cm^3 with an uncertainty of 0.01 g/cm^3

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The answer is no, we would not be surprised if the sample mean housebroken age for the small breed dogs is at least 3 months more than the sample mean housebroken age for the large breed dogs, as the probability of this happening is very small, 2.28%.

    z = (3-2) / 0.5 = 2

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Answer:

ly/3gVQKw3

Step-by-step explanation:

DON'T PRESS ON THAT LINK PLZ

There are 29.8 students in the running club overall.

The quotient is the number we get when we divide two numbers. For instance, in the case of 8 4 = 2, where the division result is 2, it is the quotient. The divisor is 4, and the dividend is 8.

The remnant is the amount that does not wholly enter the divisor, whereas the quotient is the number of times a division is completed to the fullest extent possible. By way of illustration, 42 is the quotient and 1 is the remainder when 127 is divided by 3 to provide 42 R 1.

Given,

30+9-46 (2/3) % × 30

Multiply

30 + 9 - (46 × 30) × 0.00666666666666667

Calculate quotient,

30 + 9 - 1380 × 0.00666666666666667

Simplifying quotient,

30 + 9 - 9.2

Then we get,

39 - 9.2

Then 29.8

get the result: 29.8

The complete question is:

Thirty 8 th  graders signed up for running club, however nine dropped out before the first practice. If 46 (2/3)  of the club are 8 th graders, how many total students are in the running club?

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Answer:

Step-by-step explanation:

(x + 34)° + (2x + 2)° = 180°

3x + 36 = 180

3x = 144

x = 48

The correct equation which represent an identity will be;

⇒ 4(5x+2) = 20x+8

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

All the equations are,

1) 2x + 1 = 3x + 4

2) 4x - 3 = 2(2x + 7)

3) 6x + 3 = 2x + 10

4) 4(5x + 2) = 20x + 8

Now,

Solve each equation and find an identity as;

1) 2x + 1 = 3x + 4

⇒ 1 - 4 = 3x - 2x

⇒ - 3 = x

⇒ x = -3

Thus, It is not represent an identity.

2) 4x - 3 = 2(2x + 7)

⇒ 4x - 3 = 4x + 14

⇒ - 3 ≠ 14

Thus, It shows no solution.

3) 6x + 3 = 2x + 10

⇒ 6x - 2x = 10 - 3

⇒ 4x = 7

⇒ x = 7/4

Thus, It is not represent an identity.

4) 4(5x + 2) = 20x + 8

⇒ 20x + 8 = 20x + 8

⇒ 20x - 20x = 8 - 8

⇒ 0 = 0

Clearly, '0' is an additive identity.

Thus, This equation shows an identity.

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Answer:

4

Step-by-step explanation:

Add 2/3 until the number is 3 or more than 3.

2 servings: 2/3 + 2/3 = 4/3

3 servings: 4/3 + 2/3 =6/3 = 2

4 servings: 2 + 2/3 = 2 and 2/3

5 servings: 2 and 2/3 + 2/3 =  2 and 4/3

4/3 is greater than 1, so 2 and 4/3 is more than 3. That means you can only make 4 servings with 3 cups of raisings.

Answer:

this is the answer (-3,-6)

Answer:

278.33X - 553.34222

Step-by-step explanation:

Given the data:

Year, X :

1992

1993

1994

1995

1996

1997

1998

1999

2000

Sales, Y:

1.2

1.4

1.6

1.8

2.2

2.5

2.8

3.0

3.4

Using a linear regression calculator, the regression fit model for the data is

Y = 278.33X - 553.34222

Where, Y = sales in Millions

x = year

The maximum possible total amount of money would be  = 13.23  £

What is Linear Equation ?

Linear Equation can be defined as the equation in which the highest degree of the variable is one.

Given,

To the nearest pound, tim has £8

To the nearest 50p, sue has £4.50

so, to the nearest pound, tim has £8

=>  7.5   ≤  Tim  has   <  8.5

sue has £4.50

to the nearest 50 p

=>  4.25  ≤   Sue   <  4.75

=> possible total amount of money

= 7. 5 +  4.25 ≤    Amount <  8.5 + 4.75

=>   11.75   ≤    Amount <  13.25

maximum possible total amount of money would be less than 13.25

and in term of paisa   maximum <  4.75   = 4.74

and maximum less than   <  8.5  = 8.49

Hence maximum possible total amount of money would be  = 13.23  £

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On solving the provided question, we can say that - the volume of the cylinder will be V = 3.14 * 20*20*50 = 62800

The length of a circle or sphere, in more contemporary use, is the same as its radius in classical geometry, which is one of the line segments from its center to its circumference. The Latin word radius, which also refers to the spokes of a wagon wheel, gave rise to the term. The distance a circle's center is from any point on its perimeter is its radius. Usually, "R" or "r" is used to indicate it. A radius is a line segment that has one endpoint in the center and one on the circumference of a circle. Circular diameter equals radius The diameter of a circle is the segment that traverses its center and has ends that are on the circle. Diameter

volume of the cylinder -

V = [tex]\pi r^2h[/tex]

r = 40/2 = 20

h = 50

V = 3.14 * 20*20*50 = 62800

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8% of 15.66= 1.2528

Turn 1.2528 into 1.2

15.66+1.2= 16.89

$16.86