To solve an equation where the coefficient is a fraction is , you blank each side by the blank of the coefficient

Answer: 13/12 times 12/4 is the answer

\(\dfrac{x+4}{3} =7\)

Multiply both sides by 3:

\((\dfrac{x+4}{3} )\times3=(7)\times3\)

\(x+4=21\)

Subtract 4 from both sides:

\(x+4-4=21-4\)

\(\boxed{x=17}\)

Answer:

:frejard:

Step-by-step explanation:

owo

Answer:

125 cm

Step-by-step explanation:

If you separate the shape, you get an area of 50, 50, and 25. you then add these together to get 125

Answer:

x = 90degrees and y = 45degrees

Step-by-step explanation:

To get x, we will use the theorem that states that 'the measure of the vertex angle is equal to the half of the difference of the measures of its intercepted arcs. Hence;

45 = 1/2 (180 - x)

Cross multiply

45*2 = 180 - x

90 = 180 - x

x = 180 - 90

x = 90degrees

Let the angle o the same line with y be z. Hence;

z = 1/2(180+x)

z = 1/2(180+90)

z = 1/2 * 270

z = 135

Sum of angle on a straight line is 180 degrees

z + y = 180

135 + y = 180

y = 180 - 135

y = 45

Hence x = 90degrees and y = 45degrees

Answer:

Step-by-step explanation:

Easiest way would be to substitute points into the given equations and plot your answers.

E.g. if you substitute points into your first equation you get:

If x = 0, y = -4(0) +2 = 2

If x = 1, y = -4(1) +2 = -2

If x = -1, y = -4(-1) +2 = 6

Etc.

Second equation:

If x = 0, y= -(0) -1 = -1

If x = 1, y = -1 -1 = -2

If x = -1, y = -(-1) -1 = 0

Pretty much just plug in values for x into the equations to find y.

Once you have your points, draw a line :)

Where the two lines intercept would be the solution.

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

Time series data refers to a collection of data points that are measured over time at regular intervals. The time series data could refer to various metrics such as sales, revenue, foot traffic, website traffic, inventory levels, and other relevant business metrics that change over time.

By analyzing time series data, businesses can gain insights into trends, patterns, and other factors that can affect their operations.  

Time series can be used for forecasting. By analyzing past trends and patterns, businesses can make predictions about future performance and take proactive measures to achieve their goals.  

Since the time series will follow the trend, have multiple choices, and will be cyclical and it will analyze the patterns over time periods seasonally.

Therefore,

The time series data should show a. trend b. cyclical c. seasonal, so the correct answer is d. all of the options are correct.

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The growth percentage for the given function is 92.2%.

What is the percentage?

A number can be represented as a fraction of 100 using a percentage. "%" is used to represent it.

For instance, when we state that 20% of a class is made up of guys, we mean that 20 of the class's 100 pupils are male. In other words, there are 20 out of 100 boys in the class, or 0.2.

We can multiply by 100 to change a fraction or decimal into a percentage. For instance, we can multiply the fraction 3/5 by 100 to achieve the following percentage conversion:

3/5 × 100% = 60%

Now,

The given function is \(y = 990^{(1.922)}\)

We can compare this to the standard form of an exponential function y = abˣ, where "a" represents the initial value or starting point, "b" represents the growth or decay factor, and "x" represents the time or number of periods.

In this case, we have:

a = 990 (the initial value)

b = 1.922 (the growth factor)

To find the growth percentage, we can subtract the initial value from the final value and divide by the initial value:

(1.922 - 1) / 1 × 100% = 92.2%

Therefore, the growth percentage for the given function is 92.2%.

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The scale used by Johan is 1: 252.

Here, we are given that Jonah made a scale drawing of the picnic area in which the 70 yards wide picnic area in real life, was 10 inches wide in the drawing.

As per mathematical measurements-

1 yard = 3 feet

and 1 feet = 12 inches

Thus, 3 feet = 12 x 3 inches

= 36 inches

Therefore, we get that 1 yard = 36 inches

Now, the picnic area is 70 yards

the picnic area in inches is = 70 x 36 inches wide

= 2520 inches

Thus the scale used by Johan will be-

10 : 2520

= 1 : 252

Thus, the scale used by Johan is 1 : 252.

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Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition - if the grouping changes, the answer will be the same - Correct (2 + 3) + 5 = 2 + (3 + 5)

Identity Property of Addition - anything added by 0 will equal itself (5 + 0 = 0, 2.3 + 0 = 2.3, etc.)

Commutative Property of Addition - if the order changes, the answer will be the same (2 + 3 = 5 and 3 + 2 = 5 also)

Distributive Property of Addition - allows you to "distribute" a number (2(3 + 5) = 2 * 3 + 2 * 5 = 6 + 10 = 16)

Answer:

(3×6) -1+4

18+3

21 is your answer ☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer:

2.49 liters

Step-by-step explanation:

Answer: (√2)(2) = 2√2

Step-by-step explanation:

To simplify the expression 3√2 - √2, you can factor out the common term √2:

3√2 - √2 = (√2)(3 - 1)

Now, subtract the numbers in parentheses:

(3 - 1) = 2

(√2)(2) = 2√2

Answer: To find the distance between Earth and the star in miles, we need to multiply the number of light-years by the number of miles in a light-year.

33.7 light-years * 6,000,000,000,000 miles/light-year = 2.022 x 10^17 miles

So, the distance between Earth and the star is approximately 2.022 x 10^17 miles, written in scientific notation.

Step-by-step explanation:

Answer:

308

Step-by-step explanation:

so to find how much a rectangular prisim is by

length * with* height

11* 7 * 12

= 924 cubic feet

and then we just divid by 3

=308

The probability that Kyle takes at least one purple ball is 0.9

Probability is used to measure the likelihood of an event given a set of circumstances.

The probability that Kyle takes at least one purple ball is calculated by the formula P(A) = 1 – P(A’).

In this scenario, A is the event of taking at least one purple ball and A’ is the event of not taking any purple balls.

The probability of taking at least one purple ball (A) is calculated by subtracting the probability of not taking any purple balls (A’) from 1.

There are 20 balls in the bag, 18 of which are purple. This means the probability of not taking any purple balls (A’) is 2/20 = 0.1.

Therefore, the probability of taking at least one purple ball (A) is

1 – 0.1 = 0.9.

In conclusion, the probability that Kyle takes at least one purple ball is 0.9.

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Answer:

4.66028 miles

Step-by-step explanation:

The answer to the given question about probability of Bob's shop is option 7) 79.4%.

Out of 700 cars, 144 require more than one day to repair. So the number of cars that can be fixed in one day is

700 - 144 = 556.

The probability that the next car brought to the shop can be fixed in a day is the ratio of the number of cars that can be fixed in a day to the total number of cars:

probability = 556/700

= 0.794 or 79.4%

Therefore, the correct answer is option 7) 79.4%.

Probability is a branch of mathematics that deals with the study of random events or phenomena. It is used to quantify the likelihood of an event occurring, and it is expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. Probability theory is widely used in various fields, such as statistics, physics, economics, and finance, to make predictions and decisions based on uncertain or incomplete information. It provides a powerful tool for analyzing and understanding uncertainty, risk, and randomness in real-world situations, and it has numerous practical applications in diverse areas of research and industry

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The total number of different ways in which the 10 swimmers can achieve 1st, 2nd, or 3rd place is 720 ways.

Given that:

There are one of ten people in a swimming race. Prizes are awarded to swimmers who finish in first, second, and third places only.

Let's assume that there is A to J swimmers counted as 10 in number.

Then A comes in first, or B comes in first, or ... or J comes in first. So, there are 10 possibilities that any swimmers can come in the first place.

For second place, it can't be the swimmers that arrived first, but it could be any of the remaining 9 swimmers.

For third place, it can't be the first or second swimmers but there are 8 others and one of them will be the third.

Using permutation we can find the total number of different ways in which the 10 swimmers can achieve 1st, 2nd, or 3rd place, because the order of places matters.

The permutation is considered an ordered combination. Objects are arranged from last to first in permutations. The general formula for this is:

P(n, r) = n! /(n-r)!

Therefore, the required number of ways is = 10 possible first swimmers x 9 possible 2nd swimmers x 8 possible third swimmers.

The required number of ways = 10 x 9 x 8 = 720 ways.

Hence, there are 720 ways swimmers can achieve 1st, 2nd, or 3rd place.

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Answer:

9 ≤ p

Step-by-step explanation:

-18 ≤ -3p

-18/-3 ≤ p

9 ≤ p

Answer:

80 points

Step-by-step explanation:

If score in English is x points and score in math is 5% higher then score in math

y = x + 0.05x

where 0.05 = 5% expressed as decimal

0.05x refers to the 5% increase in score

y = math score

y = x(1 + 0.05)

y = 1.05x

Given score in math = 84 this becomes

84 = 1.05x

x = 84/1.05

x = 80

So Emily's score in English was 80 points

The probability that y is between 5.1 and 5.7 is approximately 0.4292.

Probability is a way to gauge how likely or unlikely something is to happen. It is a number between 0 and 1, where 0 denotes an improbable event and 1 denotes an inevitable one.

Since the sample size is large (n = 70), we can use the Central Limit Theorem to approximate the sampling distribution of the sample mean as normal with mean μ = 5 and standard deviation σ/sqrt(n) = 2/sqrt(70) ≈ 0.24.

Now we want to find the probability that y, the sample mean, is between 5.1 and 5.7. We can use the standard normal distribution to do this by standardizing y:

z = (y - μ) / (σ / sqrt(n)) = (y - 5) / 0.24

The probability that y is between 5.1 and 5.7 is equivalent to the probability that z is between:

z1 = (5.1 - 5) / 0.24 ≈ 0.42

and

z2 = (5.7 - 5) / 0.24 ≈ 2.92

Using a standard normal distribution table or calculator, we can find that the probability of z being between z1 and z2 is approximately 0.4292.

Therefore, the probability that y is between 5.1 and 5.7 is approximately 0.4292.

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The calculated period of the function is 12

From the question, we have the following parameters that can be used in our computation:

The graph

By definition, the period of the function is calculated as

Period = Difference between cycles or the length of one complete cycle

Using the above as a guide, we have the following:

Period = 13 - 1

Evaluate

Period = 12

Hence, the period of the function is 12

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If a straight angle is bisected, the resulting angles are 90° and 90°.

Angle bisectors are lines that cut across the angle under consideration. The term "bisect" means to divide into two equal portions. The considered angle is therefore divided in half by the bisected halves.

We have the expression,

a straight angle is bisected.

A straight angle in geometry is one that is 180 degrees in length. It looks like a straight line, which is why it is known as a straight angle.

A straight line may be thought of as a straight angle with two endpoints.

And straight angle has a value of 180°.

When it is bisected,

a straight angle has a bisector that divides it into two equal angles.

It forms 2 angles,

180°/ 2

= 90°

Therefore, resulting angles are 90° and 90°.

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Answer:

i cant even read the word there too small  

Step-by-step explanation:

Use FOIL to expand and simplify:

Triangle Tiger:

A = (2x + 6)(x - 4)

= 2x^2 -8x + 6x - 24

= 2x^2 - 2x - 24 ft^2 (N)

Anthony's Computer Monitor:

A = (x - 3)(2x + 1)

= 2x^2 + x - 6x - 3

= 2x^2 - 5x - 3 in^2 (I)

Art Class:

A = (x - 4)^2

= x^2 - 8x + 16 in^2 (O)

Easel:

A = [(2x - 5)(2x + 4)] / 2

= (4x^2 + 8x - 10x - 20) / 2

= (4x^2 - 2x - 20) / 2

= 2x^2 - x - 10 in^2 (E)

Four Square:

A = (x + 2)^2

= x^2 + 4x + 4 ft^2 (A)

When edge D connects with edge X, this net is folded into a cube, which is obtained by folding the given figure in cube.

A cube is a solid shape with six square faces. Each side of a square  has the same side length, so all  faces are the same size.

A cube has 12 sides and 8 vertices. Each vertex refers to the angle where the three edges of the cube meet.

Shape Properties of  Cube  

Thus, when edge D connects with edge X, this net is folded into a cube.

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Answer:

n° = 69°

Step-by-step explanation:

n° = 69°

since AY = 111° , it is equal to XD , and XY = 180°.

180° - 111° = 69°

XB = 111° , XA = 69° , CY or YC = 111° , YD = 69°

I just confused myself, im not sure if this is helpful but I tried

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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The additional 60 men, the provisions will last for approximately 20 weeks.

To determine how long the provisions will last with the additional 60 men, we need to consider the total number of people and the original duration the provisions were meant to last.

Originally, the provisions were intended to sustain 400 men for 23 weeks. This means that the provisions were estimated to be sufficient for a total of 400 * 23 = 9200 person-weeks.

Now, with the additional 60 men, the total number of men becomes 400 + 60 = 460.

To calculate how long the provisions will last with the increased number of men, we divide the total person-weeks by the new number of men:

Provisions last = Total person-weeks / Number of men

= 9200 / 460

≈ 20 weeks (rounded to the nearest whole number)

The additional 60 men will extend the supply's shelf life to around 20 weeks.

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