The sum of three consecutive integers is 36. Find the largest integer.

Answer:

13/t

Step-by-step explanation:

you add the numerators, because the denominators are the same variable.

Answer:

8 cm apart

Step-by-step explanation:

First, let's consider our unit rate.

1 cm = 50 km

Next, divide 400 km (the distance between two cities) by 50 (the unit rate).

400/50 = 8 km

There you go! The two cities are 8 km apart!

Hope this helps you and maybe earns a brainliest!!

Bye!

If two cities are 400 km apart. Then the length of distance between the cities on this map will be 8cm.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The scale on a map indicates that 1 cm represents 50 km.

Then the scale factor will be 1/50.

If two cities are 400 km apart.

Then the length of distance between the cities on this map will be

⇒ 400 x (1/50)

⇒ 8 cm

More about the dilation link is given below.

https://brainly.com/question/2856466

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Answer:

11/60 so around 18.33%

Step-by-step explanation:

hello

in total there are 120 ppl

22 are vanilla cones

so the probability that this person bought a vanilla a ice cream cone is 22/120=11/60

hope this helps

Answer:

Each side length of the square is [tex]8cm^{2}[/tex]

Step-by-step explanation:

We know that a square has 4 Equal sides.

To find the area of a triangle, you will have to use the formula [tex]A=\frac{1}{2} (bh )[/tex]

Then, you will substitute with 4 and 16.

[tex]A=\frac{1}{2} (4x16)[/tex] (x=times)

Then, simplify.

[tex]A=\frac{1}{2} (64)[/tex]

Then, simplify again :)

[tex]A=32cm^{2}[/tex]

Now, we know that the area of a triangle is [tex]32cm^{2}[/tex]. It tells us that the area of a square is double that.

So, we divide [tex]32[/tex] by [tex]4[/tex], since a square has 4 sides.

[tex]\frac{32}{4} = 8cm^{2}[/tex]

Hence, one side length of a square is [tex]8cm^{2}[/tex].

Hope that helps:D

-Jazz

Answer:

8cm

Step-by-step explanation:

First find the area of the the triangle:

4*16=64 64/2=32

The square is twice the area of the triangle:

32*2=64

A square has two lengths that are the same so that means two same numbers multiplied by each other would be 64

That number would be 8

Answer:

C

Step-by-step explanation:

Given

x³ + 3x² + 3x + 9 ( factor first/second and third/fourth terms )

= x²(x + 3) + 3(x + 3) ← factor out (x + 3) from each term

= (x² + 3)(x + 3) → C

Answer:

slope = -2

y-intercept = 2

equation: y = -2x + 2

Step-by-step explanation:

The equation of a line is

y = mx + b

We need to find the slope, m, and the y-intercept, b.

The graph crosses the y-axis at y = 2, so the y-intercept, b, equals 2.

Now we have

y = mx + 2

slope = m = rise/run

We see points (1, 0) and (0, 2) on the graph. Starting at (1, 0), we go up 2 units. That is a rise of 2. Then we go 1 unit left. That is a run of -1.

slope = m = rise/run = 2/(-1) = -2

The slope is -2.

The equation is

y = -2x + 2

Answer:

y=-2x+2

Step-by-step explanation:

Using rise over run the line travels down 2 and right one from one point to another giving u -2/1 or -2 as the slope and it passes through the y-axis at 2 giving you a y-intercept of 2 and the equation y=-2x+2.

Answer:

All real numbers

Step-by-step explanation:

Linear functions have a domain and range of all real numbers because they reach from -∞ to ∞ on the x-axis and y-axis.

An example is given below. The domain and range of the function are all real numbers.

Answer:

83.85%

Step-by-step explanation:

Given that:

Mean (μ) = 65 months, Standard deviation (σ) = 6 months.

The empirical rule states that about 68% of the data falls within one standard deviation (μ ± σ), 95% of the data falls within two standard deviation (μ ± 2σ) and 99.7% of the data falls within three standard deviation (μ ± 3σ).

For the question above:

68% of the data falls within one standard deviation (μ ± σ) = (65 ± 6) = (59, 71) i.e between 59 months and 71 months

95% of the data falls within one standard deviation (μ ± 2σ) = (65 ± 12) = (53, 77) i.e between 53 months and 77 months

99.7% of the data falls within one standard deviation (μ ± 3σ) = (65 ± 18) = (47, 83) i.e between 47 months and 83 months

The percentage of cars that remain in service between 47 and 59 months = (68% ÷ 2) + (99.7% ÷ 2) = 34% + 49.85 = 83.85%

Answer:

Justine needs to score a 100 to have an average of 93%.

Step-by-step explanation:

Given:

Justin scores 85, 92 and 95 on his science tests.

To find:

The score that he needs to earn to have an average of 93%?

Solution:

Let the score in next science test = [tex]x[/tex]

Formula for Average/Arithmetic Mean is given as:

[tex]Average = \dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]

Here we have 4 number of total observations and average is 93%.

Now, put all the values here:

[tex]93 = \dfrac{85 +92+ 95+x}{4}\\\Rightarrow 93\times 4=85 +92+ 95+x\\\Rightarrow 372=272+x\\\Rightarrow x = 372-272\\\Rightarrow x = 100[/tex]

So, Justin needs to score 100 to have an average of 93%.

Answer:

1/5

Step-by-step explanation:

Since we have given that

Quantity of orange juice = 30 ml

Quantity of apple juice = 20 ml

Quantity of coconut juice = 50 ml

Total quantity of cocktail = 100 ml

So, the ratio of orange juice to apple juice to coconut juice is given by

=30:20:50

= 3:2:5

Total ratio=3+2+5

=10

So, proportion of the cocktail of apple juice is given by

2/10×100

=1/5×100

=20%

Hence, the proportion of the cocktail is 1/5 apple juice

Answer:

Step-by-step explanation:

nth term = (n-1)th term + common difference

d = -10

a₁ = 3

a₂ = a₁ + d = 3 + (-10) = -7

a₃ = a₂ + d = -7 + (-10) = -17

a₄ = a₃ + d = -17 + (-10) = -27

a₅ =a₄ + d = -27 + (-10) = -37

a₆ = a₅ + d = -37 + (-10) = -47

First six terms: 3 , -7 , -17, -27, -37 , -47

Answer: 96

Step-by-step explanation:

A palindrome is a number that is the same when reading in both ways (right to left, and left to right), for example, 121

Then, we have 9 digits, and all the digits need to be even.

the options are: 0, 2, 4, 6, 8.

Now, we can tink a 9 digit number as 9 empty slots, and in each slot, we can put a number.

But because this is a palindrome, the first digit must be equal to the ninth, and the second digit must be equal to the eight, and so on.

So we can tink it as actually only 5 slots, where in each slot, we can put an even number, now let's count the options that we have in each selection.

For the first digit we have 4 options: 2, 4, 6 and 8 (0 is not counted here because if the first digit was a 0, then this would not be a 9 digit number).

for the second digit, we have also 4 options (because we already toked one, but now the 0 can be chosen)

for the third digit, we have 3 options

for the fourth digit, we have 2 options

for the fifth digit, we have only one option.

The total number of combinations is equal to the product of the number of options for each selection:

C = 4*4*3*2*1 = 96

Answer:

96

Step-by-step explanation:

Answer:

8.2

Step-by-step explanation:

Area of triangle is calculated by multiplying height to the base and that divided by two

20 × h ÷ 2 = 56^2

h = 5.6

The square length of CD is equal to sum of square length of height and base

6^2 + 5.6^2 = CD^2

CD = 8.2

Answer:

B

Step-by-step explanation:

On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero.

On the number line, the numbers left side of zero are all negative numbers, and the numbers right side of zero are all positive numbers.

Answer:

Most likely height after 8 weeks

y(8) =  7.4 cm

Step-by-step explanation:

The regression line can be represented by

y = (4/5)x + 1  for x (#weeks) between 0 and 5.

Eight weeks exceeds the experimental range, so the best possible guess is to apply the regression line using x=8

Most probable height after 8 weeks

y(8) =  (4/5)*(8)+1 = 7.4 cm

5.2 cm height of plant after 8 weeks.

The equation of a line can be formed with the help of the slope of the line and a point on the line. Let us understand more about the slope of the line and the needed point on the line, to better understand the formation of the equation of a line. The slope of the line is the inclination of the line with the positive x-axis and is expressed as a numeric integer, fraction, or the tangent of the angle it makes with the positive x-axis. The point refers to a point in the coordinate system with the x coordinate and the y coordinate.(The equation of the line is  y = mx + b)

According to the question,

The equation of the line is:

y = mx + b

The slope is 3/5. The y-intercept is given 1.

y = 3/5x + 1

Put x as 7, to find where point y lies.

y = 3/5(7) + 1

y = 21/5 + 1

y = 4.2 +1

y = 5.2 cm

hence, 5.2 cm height of plant after 8 weeks.

To learn more about equation of line from here

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Answer:

k = 4

Step-by-step explanation:

Step 1: Distribute

-14k + 21 = -35

Step 2: Subtract 21 on both sides

-14k = -56

Step 3: Divide both sides by -14

k = 4

Answer:

-14, -14, -56, 4.

Step-by-step explanation:

-7(2k-3)=-35

-14k + 21 = -35

-14k = -56

k = 4

So, your answers should be -14, -14, -56, 4.

Hope this helps!

Answer:

3x - 21 = 3(x + 7).

Step-by-step explanation:

3x - 21 = 3(x + 7)

3x - 21 = 3x + 21

3x - 3x = 21 + 21

0 = 42

Since the two are not equal, this equation has no solution.

3x - 21 = 3(x - 7)

3x - 21 = 3x - 21

3x - 3x = -21 + 21

0 = 0

Since the two are equal, this equation has infinitely many solutions.

3x - 21 = x - 7

2x = 14

x = 7

This equation has one solution.

Since there is only one choice that makes sense, the answer won't be all of the choices.

The answer is A. 3x - 21 = 3(x + 7).

Hope this helps!

Answer:

12

Step-by-step explanation:

4 types of flowers, 3 messages, therefore 3x4=12

Sunflower:           Daisy:                   Tulip:                   Roses:

Birthday               Birthday               Birthday              Birthday

Holiday                Holiday                Holiday                Holiday

Anniversary         Anniversary         Anniversary        Anniversary

COUNT ALL OF THE HOLIDAYS AND THAT NUMBER IS GONNA BE YOUR ANSWER.

Answer:

[tex] - 5 \sqrt{ - 2} [/tex]

Step-by-step explanation:

We can write sq root (- 18) as = sq root [3 x 3 x (-2)]

Similarly sq root ( - 8) = sq root [2 x 2 x (-2)]

2 sq root [2 x 2 x (-2)] - 3 sq root [3 x 3 x(-2)]

We simply,

2 x2 sq root (-2) - 3 x 3 sq root (-3)

4 sq root (-2) - 9 sq root (-2)

Bcoz sq root (-2) is common in bot term so

So

Sq root (-2) (4-9)

-5 sq root (-2) answer

Answer:

a) From 10 to 11, Sarah rode 12 km in one hour. That means her velocity was 12 km/hr.

b) Sarah passed by her home at 12:45.

c) From 12 to 13, Sarah rode 15 km. Thus, her velocity was 15 km/hr. From 13 to 14 she rode 3 km. Thus, her velocity was 3 km/hr.

d) Her average velocity was 12+0+15+3/4, or 30/4 which is 7.5 km/hr.

Answer:

192.154 ft²

Step-by-step explanation:

Area of a Hexagon Formula: A = 3√3/2(x)²

x is the side of the hexagon. We simply plug in 8.6 in for x:

A = 3√3/2(8.6)²

A = 3√3/2(73.96)

A = 221.88√3/2

A = 110.94√3

A = 192.154

Answer:

~192.2

Step-by-step explanation:

The area of a regular hexagon is calculated by:

A = [3*sqrt(3)/2]x side x side = 3*sqrt(3)/2 x 8.6^2 = ~192.2

Step-by-step explanation:

To multiply rational expressions, simply multiply the numerators together (the tops) and the denominators together (the bottoms).

For example:

[tex]\frac{x+a}{y+b}\times\frac{x+c}{y+d}[/tex]

[tex]= \frac{(x+a)(x+c)}{(y+b)(y+d)}[/tex]

[tex]=\frac{x^{2}+ax+cx+ac}{y^{2}+by+dy+bd}[/tex]

To divide by a rational expression, multiply by its reciprocal.  In other words, flip the fraction, then multiply.

For example:

[tex]\frac{x+a}{y+b}\div\frac{x+c}{y+d}[/tex]

[tex]=\frac{x+a}{y+b}\times\frac{y+d}{x+c}[/tex]

[tex]=\frac{(x+a)(y+d)}{(x+c)(y+b)}[/tex]

[tex]=\frac{xy+dx+ay+ad}{xy+bx+cy+bc}[/tex]

Answer:

x = -1 ± 2i

Step-by-step explanation:

Quadratic Formula: [tex]x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}[/tex]

√-1 = i

Step 1: Factor GCF

3(x² + 2x + 5)

Step 2: Use quadratic formula

a = 1

b = 2

c = 5

[tex]x = \frac{-2+/-\sqrt{2^2-4(1)(5)} }{2(1)}[/tex]

[tex]x = \frac{-2+/-\sqrt{4-20} }{2}[/tex]

[tex]x = \frac{-2+/-\sqrt{-16} }{2}[/tex]

[tex]x = \frac{-2+/-i\sqrt{16} }{2}[/tex]

[tex]x = \frac{-2+/-4i }{2}[/tex]

[tex]x = \frac{-2(-1+/-2i) }{2}[/tex]

x = -1 ± 2i

Answer:

£6.86

Step-by-step explanation:

10%=0.7

0.75*98=6.86

Answer:

£6.86

Step-by-step explanation:

98% × 7

0.98 × 7

= 6.86

98% of £7 is £6.86.

Answer:

BA=BC

Step-by-step explanation:

Answer:

C = n + 2

Step-by-step explanation:

Well looking at the line on the graph we can see that the y intercept is 2 because the y intercept is the point in the line that touches the y axis.

And the slope is how fat away each points are from each other on a line so we can find the slope by using two points on the line, we can use (1,3) and (2,4).

So we set up the formula like this [tex]\frac{y^2-y^1}{x^2-x^1}[/tex].

And now we gotta plug in the numbers and solve so the answer is 4-3 = 1 and 2-1 = 1 so the slope is 1.

And we can’t write that as just n.

So the answer is C = n + 2.

For proof look at the image below.

Answer:

B, C=n+1

Step-by-step explanation:

Rlly late answer lol, the slope of the equation is 1 so it must be

C=n+b b is the y intercept, the y intercept is (0,2)

So the answer is C=n+1

Answer:

Step-by-step explanation:

This is a binomial distribution because there are only two possible outcomes. It is either a randomly selected student is a male or a female. In this scenario, the probability of success, p is that a randomly selected student is a male and it is the same for any given number of trials. Therefore,

p = 40/100 = 0.4

The probability of failure, q would be that a randomly selected student is a female.

q = 1 - p = 1 - 0.4 = 0.6

Number of trials, n = 9

Therefore,

Mean = np = 9 × 0.4 = 3.6

Standard deviation = √npq = √9 × 0.4 × 0.6 = 1.47

The shape of the distribution is asymmetric.

Answer:

x=-9

x+2=-7

Step-by-step explanation:

Let

x and (x+2)= the two consecutive integers

x=smaller odd integer

x+2=larger odd integer

1/3 of the smaller integer plus the larger integer =7 more than the sum of the two numbers

1/3x+(x+2)= (x)+(x+2)+(7)

x/3+x+2=x+x+2+7

x+3/3=2x+9

3/3x=2x+9

x=2x+9

x-2x=9

-x=9

x= -9

The smaller odd integer=x= -9

The larger odd integer=(x+2)=-9+2

= -7

The probability of two non-overlapping events A or B happening is:

p(A or B) = p(A) + p(B)

if you add an image of the question you are trying to answer, I can explain it better.

Answer:

If events A and B are non-overlapping events.

P(A or B) = P(A) + P(B)

To find the probability that one or the other occurs, you add the probability of both events occurring together.