Which of the following expressions is equivalent to - 1/4 - 5/3 ?

Answer:

Step-by-step explanation:

Let the amount brought in the first day be x

In the second day brought:

Total in two days:

Solve the following equation for x:

The expression the represent the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours is total cost = 9b + 10s

The cost of rent for bike and scooters are different.

cost for bike = $9 per hour

cost for scooter = $10 per hour

Therefore, he expression the represent the total cost for Ari to rent a bike for b hours and Meg to rent a scooter for s hours is as follows:

total cost = 9b + 10s

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Answer: 9b + 10s

Step-by-step explanation:

I - Ready Sucks :)

The value of t₄ in the arithmetic sequence is 103/8.To determine the value of t₄ in an arithmetic sequence, we need to use the given information that t₁ = 11 (the first term of the sequence) and S₉ = 243 (the sum of the first 9 terms of the sequence).

We know that the formula for the sum of an arithmetic sequence is Sₙ = (n/2)(2a + (n-1)d), where Sₙ is the sum, a is the first term, n is the number of terms, and d is the common difference.

From the given information, we have S₉ = 243, a = 11, and n = 9. Plugging these values into the sum formula, we can solve for d:

243 = (9/2)(2(11) + (9-1)d)

243 = 9(22 + 8d)

243 = 198 + 72d

45 = 72d

d = 45/72 = 5/8

Now that we have the common difference, we can find t₄ using the formula for the nth term of an arithmetic sequence:

tₙ = a + (n-1)d

t₄ = 11 + (4-1)(5/8)

t₄ = 11 + 3(5/8)

t₄ = 11 + 15/8

t₄ = 88/8 + 15/8

t₄ = 103/8

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Answer:

hfrhghubifhvfuovhtjopugjob

Step-by-step explanation:

Answer:

I believe it is 2/5 fraction

Answer:

-2/5

Step-by-step explanation:

We can use the slope formula

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

   = ( 18-8)/(-15-10)

    = 10/-25

   = -2/5

The simplified expression can be written as:

\((-\sqrt{6} )*(-2*\sqrt{-42} ) = \sqrt{-1,008}\)

Here you need to remember the property:

\(\sqrt{x} *\sqrt{y} = \sqrt{x*y}\)

Now we have the expression:

\((-\sqrt{6} )*(-2*\sqrt{-42} )\)

First, we can cancel the two first negative signs to get:

\((\sqrt{6} )*(2*\sqrt{-42} )\)

Now we can write the 2 as the square root of 4.

\((\sqrt{6} )*(\sqrt{4} *\sqrt{-42} )\)

Finally, we can use the above property to get:

\((\sqrt{6} )*(\sqrt{4} *\sqrt{-42} ) = \sqrt{6*4*(-42)} = \sqrt{-1,008}\)

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Answer:

A

Step-by-step explanation:

Each hash mark between "School" and "Declan's house" is one-eighth of a mile.  Starting at "School" count 5 hash marks to the left to get where Harper lives.

Answer:

43

Step-by-step explanation:

just trust me

Answer:

8

Step-by-step explanation:

if you divide 32 by 4 its 8

Answer:

8 dollars a game

Step-by-step explanation:

divide 4 into 32 and you get 8

Answer:

Each number is subtracted by 4. So -4

Answer: It’s -4 or B.

Step-by-step explanation: I took the unit test on Edge :). Hope this helps!

Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

The task is to create an equation that use the total expense (y) and the total number of bowled games (x). Hence, the way that we will begin is by entering the knowing into the formula of slope intercept form:  y=mx+b.

Thus, we include them in the formula: y=4x+b.

14 = 4(3)+b

Find b

14 = 12+b

14 - 12=b

b = 2

Thus, an equation to show the overall price y of renting shoes and bowling x equipment is: y=4x+b.

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Complete question:

The total cost for bowling includes the fee for shoe rental plus a fee per game. The cost of the game increases the price by $4. After 3 games, the total cost with shoe rental is $14.

a.write an equation to represent the total cost y to rent shoes and bowl x games.

By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.

In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:

y = C · (x - h)² + k

First, write the polynomial in standard form:

x² - 2 · x - 2

Second, use algebra properties to expand the expression:

(x² - 2 · x - 2) + 0

(x² - 2 · x - 2) + 3 - 3

(x² - 2 · x + 1) - 3

Third, use the definition of perfect square trinomial:

(x - 1)² - 3

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Answer:

30 Nickels and 188 Pennies

Step-by-step explanation:

okay, so to set up the equation first, we have to assign each coin a variable, let's call them p and n:

P= number of pennies

N= number of nickels

the value of a penny is 1 cent, so 1P, and the value of a nickel is 5 cents, so 5N

The problem states that he has 218 coins, meaning that the total number of pennies and nickels adds up to 218:

P + N = 218

the total value of the coins is $3.38, so that would mean that 1P + 5N has to equal $3.38:

1P + 5N = 338

Okay, so now that we have our equations let's solve them using elimination:

we have to get a common coefficient between both equations, so let's multiply our first equation by 5:

P x 5 = 5P

N x 5 = 5N

218 x 5 = 1090

so, now we can solve by elimination:

5P + 5N = 1090

1P + 5N = 338

the N's cancel out:

4P = 752

divide both sides by 4:

P = 188

okay, so if theres a total of 218 coins, subtract 188 from 218:

218 - 188 = 30

so, there are 30 nickels and 188 pennies.

check our work:

5 x 30 = 150

1 × 188 = 188

150 + 188 = 338

338 = 338

I hope this helps! :)

The angles that we have in the image here are:

When two angles are measured, they sum up to 180. They are said to be supplementary angles.

On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.

This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.

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Answer:

hope this helps

Step-by-step explanation:

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph

Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

The group of people who participated in the study's sample survey was chosen at random to participate in it by the national grocery store chain. In this instance, the sample comprises the 1,000 customers from throughout the nation that participated in the survey. They are a segment of the total consumer base that frequents the chain's retail outlets.

The chain randomly surveyed 1,000 customers from around the country. It concluded from the study that 80% of all customers who hopped into the chain's stores were interested in the service. The nationwide grocery store chain randomly selected the participants in the study's sample survey from the general public.

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The expression "log₃(3/8)" can be expressed in the form of "difference-of-logarithms" is log₃(3) - log₃(8), and it's simplified value is -0.89278.

The "Quotient-Property" states that logarithm of quotient of "two-numbers" is equal to the difference of logarithms of individual numbers. It is expressed as : logₐ(b/c) = logₐ(b) - logₐ(c);

Using the quotient property, we can write log₃(3/8) as:

⇒ log₃(3) - log₃(8)

We know that log₃(3) =   and  log₃(8) =   ,

So, ⇒ log₃(3) - log₃(8),

⇒ 1 - 1.89278

⇒ -0.89278,

Therefore, the value of log₃(3/8) is -0.89278.

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The given question is incomplete, the complete question is

Use the Quotient Property of Logarithms to write the logarithm as a difference of logarithms, and simplify if possible: log₃(3/8).

Imaginary numbers are not rational which may lead you to believe that they must be irrational. Though logical, you would still be incorrect because “irrational” also applies only to real numbers.

Step-by-step explanation:

Answer:c, the answer is c

Step-by-step explanation:

Answer:

2.7 is the correct answer

Step-by-step explanation:

Answer:

2.7

Step-by-step explanation:

Answer:

Correct option is A

Since it is an equilateral triangle, the lengths of the sides are equal

So, x+3 y=3 x+2 y−2=4 x+

2

1

​

y+1

x+3 y=3 x+2 y−2

y=2 x−2

2 x−y=2 ...(1)

Also, 4 x+

2

1

y+1=x+3 y

8 x+y+2=2 x+6 y

6 x+2=5 y

6 x−5 y=−2   ...(2)

Multiplying e q(1) by  5 we get,

10 x−5 y=10      ...(3)

Subtracting e q(2) from e q(3) we get,

4 x=12⇒x=3

y=2 x−2=4

The length of one side of equilateral triangle = x+3 y =3+3(4)=15 units

Answer:

  see attached

Step-by-step explanation:

You want the attached table of group size and number of groups filled in.

As you know from your early experience with multiplication and division relations, either factor of a product can be found by dividing the product by the other factor:

  P = a·b   ⇒   a = P/b, or b = P/a

Here, the total is equal to the product of the number of groups and the number in each group. That means the missing number on each line can be found by dividing the total by the known number on the line.

When the numbers are already in a spreadsheet, you can let the spreadsheet do the arithmetic.

Answer:

141.37 ft^3

Step-by-step explanation:

No question was asked, but based off of the given information, I will assume you want to know the volume of the circular cylinder.

The volume of a circular cylinder is: v=(π)(r^2)(h)

r=3

h=5

v=(π)(3^2)(5)

v = 141.37

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

Brian is constructing figures inscribed in circle C.

Equilateral triangle MNQ inscribed in circle C:

This option is possible since the points M, N, and Q are labeled and they lie on circle C.

Equilateral triangle ANP inscribed in circle C:

This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.

Regular hexagon AMNBPQ inscribed in circle C:

This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.

Square MNPQ inscribed in circle C:

This option is not possible based on the given information. The label points do not form a square.

Square ANBQ inscribed in circle C:

This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.

The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:

Equilateral triangle MNQ inscribed in circle C

Regular hexagon AMNBPQ inscribed in circle C

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2.73

1.3x2.1=2.73

1.3

x2.1

13

+26

2.73

Answer:

To multiply 1.3 by 2.1, we need to use the distributive property of multiplication, which states that:

a × (b + c) = a × b + a × c

Using this property, we can break down 2.1 as the sum of 2 and 0.1:

1.3 × 2.1 = 1.3 × (2 + 0.1)

= 1.3 × 2 + 1.3 × 0.1

= 2.6 + 0.13

= 2.73

Therefore, 1.3 multiplied by 2.1 equals 2.73.

All repeating decimal numbers are rational number so 6.31 is also a rational number.

Any real number that cannot be written as the quotient of two integers, p/q, where p and q are both integers, is referred to as an irrational number.

In another word, irrational numbers are those numbers that can not terminate.

For example, √2, and √3 are irrational numbers because they cannot be written as p/q where p and q both should be integers.

All repeating decimals can be converted into fractional parts where the numerator and denominator all will rational.

For example, 10/3 = 3.333333.... is a repeating decimal but in its fractional form 3/10, 3, and 10 both are rational so it will be a rational number.

So,6.31313131...will also be a rational number.

Hence " 6.31 is also a rational number".

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Answer:

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer:x=π/6,11π/6

Step-by-step explanation:

5 cos x-√3=3 cos x

5 cos x-3 cos x=√3

2 cos x=√3

cos x=√3/2=cos π/6,cos (2π-π/6)

x=π/6,11π/6

Answer:

6 and 20

Step-by-step explanation:

Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).

To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.

With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.

Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.

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