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Answer:

0

Step-by-step explanation:

adding a positive and negative number that is the same like in the example (2+-2) you would get 0

Answer:

1st option

Step-by-step explanation:

Complementary angles sum to 90°

∠ BFC and ∠ AFB form a right angle and sum to 90°

These angles are therefore complementary

To me, Benjamin should use graph A to show the decrease in temperature. It would be best for Benjamin to use this graph for his presentation because the temperature decrease in this graph

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

How to determine the appropriate graph?

The graphs that complete the question are added as an attachment

From the attached graph, we have the following highlights:

The data points on the y-axis of graph A are in an arithmetic sequence i.e. 30, 60, 90, 120....

The data points on the y-axis of graph B are not in an arithmetic sequence i.e. 60, 20, 40, 80....

The above means that graph B is a misleading graph

Hence, Benjamin should use graph A for his report

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The solution to the inequality is x >= -2 for inequality 3x-5≥-11

The given inequality is 3x-5≥-11

Three times of x greater than or equal to minus eleven

x is the variable

3x - 5≥ -11:

Adding 5 to both sides, we get:

3x ≥ -6

Dividing both sides by 3, we get:

solution is  x≥-2

Therefore, the solution to the inequality is x >= -2.

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The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

From the question, we are to determine how much money there are in each box

From the given information,

"Debbie has 340 dimes in three boxes"

Let x represents the number of dimes in the first box

y represent the number of dimes in the second box

and z represent the number of dimes in the third box

Thus,

x + y + z = 340

Also, from the given information

"she says that there are 4 times as many dimes in the first box as in the second"

x = 4y

and

"3 times as many in the third box as in the first"

z = 3x

Substitute the second and third equations into the first equation

x + y + z = 340

4y + y + 3x = 340

4y + y + 3(4y) = 340

4y + y + 12y = 340

17y = 340

y = 340/17

y = 20

Substitute the value of y into the second equation

x = 4y

x = 4(20)

x = 80

Substitute the value of x into the third equation

z = 3x

z = 3(80)

z = 240

Thus,

There are 80 dimes in the first box

80 dimes = 8 dollars

There are 20 dimes in the second box

20 dimes = 2 dollars

There are 240 dimes in the third box

240 dimes = 24 dollars

Hence,

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

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Answer:

$66

Step-by-step explanation:

Answer:

the original price of the jeans

The price is 66+

Step-by-step explanation:

Find 20% of the jeans (11$) then add that 11$ to the price of the jeans.  final answer: $66

PLS GIVE ME BRAINLIEST AND A GOOD RATING :) glad to help

The total number of coins that were in Kay's bank are 137 coins.

In order to determine the number of dimes and nickels, we would assign a variables to the unknown numbers and then translate the word problem into algebraic equation as follows:

Since she has 11 less dimes than nickels, an equation which models this situation is given by;

n = d + 11     ....equation 1.

Note: 1 nickel is equal to 0.05 dollar and 1 dime is equal to 0.1 dollar.

Additionally, the coins are worth 10 dollars;

0.1d + 0.05n = 10 ....equation 2.

By solving both equations simultaneously, we have:

0.1d + 0.05(d + 11) = 10

0.1d + 0.05d + 0.55 = 10

0.15d = 9.45

d = 63 dimes.

For nickels, we have:

n = d + 11

n = 63 + 11

n = 74

Now, we can determine the total number of coins;

Total number of coins = n + d

Total number of coins = 74 + 63

Total number of coins = 137 coins.

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Answer:

Step-by-step explanation:

$100x0.5x1=$5

Answer:

Step-by-step explanation:

2 2/3

3 ¼ - 1  2/4=                                                      2  3/6  +  1 2/6=

Step-by-step explanation:

3 ¼ - 1  2/4=                                                      2  3/6  +  1 2/6=

Answer: 4.5

Step-by-step explanation:

30% is equal to 30/100, which is 0.3

If you times 0.3 by 15, you will get 30% of 15

Therefore the answer would be 0.3 x 15 = 4.5

The value of the variable is 1. 40

we need to know that algebraic expressions are described as expressions that are made up of term, variables, constants, factors and coefficients.

these algebraic expressions are also made up of arithmetic operations.

These arithmetic operations are listed as;

From the information given, we have that;

7.5x/11=4.8/5

cross multiply the values, we get;

7.5x(5) = 4.8(11)

multiply the values

37. 5x = 52. 8

Divide both sides by the coefficient of x, we get;

x = 1. 40

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Answer:

Step-by-step explanation:

10/4= 2 r 2

Answer: it’s 2.5, with a remainder it’s 2 r2

Step-by-step explanation:

The probability of this occurring is around 0.0714.

In order to determine the likelihood that an adolescent would play the lead role in each of Britney's four films, we must take into account both the total number of possible outcomes and the number of favourable possibilities.

There are 8 films scheduled in total.

Five films have had a teenager as the primary character.

Calculating the ratio of the number of favourable outcomes—all four films with teenagers—to the entire number of possible outcomes—any four films—will help us determine the probability.

The combination formula, sometimes referred to as "n choose r," shows how many different methods there are to choose 4 films from the available 8 options:

\(C(n, r) = n! / (r! * (n - r)!)\)

In this case, we want to select 4 movies out of the 5 movies featuring a teenager:

\(C(5, 4) = 5! / (4! * (5 - 4)!) = 5\)

The total number of ways to select any 4 movies out of the 8 total movies is:

\(C(8, 4) = 8! / (4! * (8 - 4)!) = 70\)

Therefore, the likelihood that a teenager will play the lead role in each of the four films that Britney cleans up after is:

Probability is calculated as follows: 5 / 70 (rounded to four decimal places) = 0.0714 (Number of favourable outcomes / Total number of probable outcomes).

Therefore, the chance is around 0.0714.

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Answer: 19,958,400

Step-by-step explanation: Multiply the length value by 63360.

315 x 63,360 = 19,958,400

Answer:

$30.00

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

$28.75 + $1.25 = $30.00

Answer:

Alot of CREAMY PENUT BUTTER!!!!!!!!!!!!!!

Step-by-step explanation:

How about no, get trolled lololololololollololololololll

Answer: 2a < 2b

Step-by-step explanation:

We are given a statement:

a < b and b < c, then 2a ____ 2b

We can use simple numbers that make the statement true.

Where,

a = 2

b = 3

c = 4

Now lets plug it in.

2 < 3 and 3 < 4, then 2(2) ____ 2(3)

and lets simplify:

2 < 3 and 3 < 4, then 4 ____ 6

We can see that 4 is less than 6,

so as a is less than b, 2a is less than 2b.

The only thing changing is the coefficient being multiplied by the variables a and b.

Step-by-step explanation:

X - ⅙X = - ½ - ⅓ ==> ⅚X = - ⅚ ==> X = -1

The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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Answer:

Lol

Step-by-step explanation:

Freeeeeeee3ee points

The diagram of the required shaded region of the Venn representing the set of elements (A ∩ B)' ∪ C, created with MS Word, is attached.

A Venn diagram consists of circles or curved enclosures, representing sets, located in a universal set which is a rectangle.

The sdets shown in the Venn diagram = Set A, Set B, and Set C

The required region to be shaded in the Venn diagram = (A ∩ B)' ∪ C'

A ∩ B (A intersection B) is the set of elements common to both Set A and Set B

(A ∩ B)' (A intersection B) complement is the set of all elements which are not in the set of elements common to both Set A and Set B

(A ∩ B)' ∪ C (A intersection B)  comliment union C; The set of elements not in the intersection of Set A and Set B, but contains the elements in Set C

(A ∩ B)' ∪ C' (A intersection B)  comliment union C complement; The set of elements not in the intersection of Set A and Set B, but includes elements in the universal set, excluding all elements in the Set C.

The required shaded region is; A ∩ (B ∪ C)', B ∩ (A ∪ C)' and (A ∪ B ∪ C)'

Please find attached the diagram of the Venn diagram, created with MS Word, with the shaded region representing (A ∩ B)' ∪ C'

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The amount invested at 12% is $24,000

The amount invested in stock is $2,000

If Susan invested $26000 and made a net profit of $2780, the total money she made will be:

Total amount made = $26,000 + $2780

Total amount made = $28,780

Let the amount invested in a fund that paid 12% profit be "x"

The amount invested in a stock that suffered a 5% loss be 26,000 - x

Since the fund made a profit of 12%, the total amount made on the fund will be x + 0.12x = 1.12x

Similarly, the amount made on a stock at a loss of 5% will be

0.95(26000-x)

Taking the sum of both expression and equating to the total amount made will give;

28,780 = 1.12x + 0.95(26000-x)

Solve for "x" from the resulting equation;

28,780 = 1.12x + 24,700 - 0.95x

Collect the like terms:

28,780 - 24,700 = 1.12x - 0.95x

4,080 = 0.17x

x = 4,080/0.17

x = $24,000

This shows that the amount invested that earned 12% profit is $24,000

The amount invested in stock that suffered 5% loss is (26,000 - 24,000) = $2,000

The equation 2 log₅ x = log₅ 4 + log₅ 9 has two solutions: x = 6.

To solve the equation 2 log₅ x = log₅ 4 + log₅ 9, we can use logarithmic properties to simplify and find the value of x.

Using the properties of logarithms, we can rewrite the equation as follows:

2 log₅ x = log₅ (4 * 9)

Next, we simplify the right side:

2 log₅ x = log₅ (36)

Now, we can use the property of logarithms that states logₐ b = c is equivalent to aᶜ = b. Applying this property, we have:

x² = 36

Taking the square root of both sides, we get:

x =  √36

Since the square root of 36 can be either positive or negative, we have two possible solutions:

x = 6

It's important to note that when working with logarithmic equations, we must always check if the obtained solutions satisfy the domain restrictions of the original equation. In this case, since the logarithm has a base of 5, the solution x = 6.

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The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

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The logarithm expression can be simplified to:

In(6x^9)-In(x^2) =7·ln(6x)

There are some logarithm properties we can use here.

log(a) - log(b) = log(a/b)

log(a^n) = n*log(a)

(these obviously also apply to the natural logarithm)

Now let's look at our expression, it says that:

In(6x^9)-In(x^2)

Using the first rule, we can rewrite this as.

In(6x^9)-In(x^2) = ln(6x^9/x^2)

Now solving the quotient in the argument:

ln(6x^9/x^2) = ln(6x^7) = 7·ln(6x)

That is the expresison simplified.

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Answer: 2/6

Step-by-step explanation:

One can be 2/6 because if multiply 1/3 by x for the numerator and the denomanator it is 2/6 and 2/6 is equivalent to 1/3

9514 1404 393

Answer:

  x = 90°

  y = 30°

Step-by-step explanation:

The relevant relations are ...

Arc AB is half a circle, so is 180°. Inscribed angle C intercepts that arc, so is half its measure: x = 90°.

The angles of a triangle total 180°, so y has the value that makes the sum of angles be 180°.

  y = 180° -90° -60°

  y = 30°

_____

Additional comment

It is worth remembering that a triangle inscribed in a semicircle is a right triangle. This tells you right away that x=90°.

Answer:

Step-by-step explanation:

Either way works. It comes to the same thing.

(2x-5)(x+1)=9

F: 2x*x = 2x^2

O: 2x*1 = 2x

I: -5 * x = -5x

L: -5*1 = -5

2x^2 + 2x - 5x - 5 = 9    Subtract 9 from both sides

2x^2 - 3x - 14 =0            Divide by 2 (it makes life easier).

Factoring you get

(2x - 7)(x + 2)

2x - 7 = 0

2x = 7

x = 3.5

x + 2 = 0

x = -2

The x intercepts = (3.5,0) and (-2,0)

I've put a graph up for the given equation.