Which type of reasoning allows you to use observation to find the next three values in the number pattern 1,4,7,10.....?

Answer:

[tex]\dfrac{a+b+c}{2}[/tex]

Step-by-step explanation:

The sum of the kids in the three classes =a+b+c

If they are divided equally between two buses, then we have:

[tex]\text{Number of kids in each of the bus}=\dfrac{a+b+c}{2}[/tex]

Answer:

An algebraic equation has an equal sign.

Step-by-step explanation:

By definition, an equation must have an equal sign. Otherwise, it cannot be considered an equation.

Answer: d) 27

Step-by-step explanation:

When you multiply 4*6 you know it’s 24 right? Then you can subtract 3/5 using lcm and times that by 25

Hope that helps!

The value of the expression is -100/3.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

- (-4) (-6) - 3/5 (10 + 15) - 1/3

Simplifying the expression.

= 4 x -6 - 3/5 x 15 - 1/3

= -24 - 3 x 3 - 1/3

= -24 - 9 - 1/3

= (-72 - 27 - 1)/3

= -100/3

Thus,

The value of the expression is -100/3.

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Answer:

Step-by-step explanation: 50 km is 36.1 km more than 13.9.

Hope this helps !

-Carrie

Step-by-step explanation:

The correct option is Option C: the point (24,8) shows different ratios of gallons of water and plants from other points.

The ratio is the representation of the fraction where this fraction is represented by the : symbol.

Given in the question number of plants that he watered every day is represented on the x-axis in the coordinate grid.

The number of gallons that he waters every day is represented on the y-axis in the coordinate grid.

We have to check the ratio of the y coordinate and the x coordinate is different from other options.

By checking all the options

Option A: (16,4) ratio of gallons of water and plants that are watered is 4/16= 1/4= 1:4

Option B: (8,2) ratio of gallons of water and plants that are watered is 2/8= 1/4= 1:4

Option C: (24,8) ratio of gallons of water and plants that are watered is 8/24= 1/3= 1:3

Option D: (48,12) ratio of gallons of water and plants that are watered is 12/48= 1/4= 1:4

By analyzing all options, Option A, B, D has a ratio 1:4. and Option C has a ratio 1:3.

Therefore the correct option is Option C: the point (24,8) shows different ratios of gallons of water and plants from other points.

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Answer:

D

Step-by-step explanation:

X is increased by a factor of 5, so y should be multiplied by 5 as well. So y = 20*5=100

Answer:

8⁷

Step-by-step explanation:

In multiplication, if two numbers have the same base, add the powers

8⁵*8² = 8⁵⁺² = 8⁷

Answer:

[tex]x = \frac{c + k}{5} [/tex]

Step-by-step explanation:

[tex]5x - c = k \\ 5x = c + k \\ \frac{5x}{5} = \frac{c + k}{5} \\ x = \frac{c + k}{5} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: x = 1/5c + 1/5k

Step-by-step explanation:

5x - c = k

5x = c + k:

Divide both sides by 5

x = 1/5c + 1/5 k

Answer:

C. 30-60-90

Step-by-step explanation:

the ratio for a 3-6-9 triangle is x, 2x, x√3

if x=8, then 2x=16, and x√3 =8√3

it's not A because it is a right angle triangle.

it's not B because the ratio for an isoceles triangle is x:x:x√2. since a and b are not the same value, it can be assumed that it is not the answer

Answer:

c

Step-by-step explanation:

The longest side is hypotenuse.

Using Pythagorean theorem:

c² = a² + b²

16² = 8² + (8√3)²

256 = 256 True, so it is a right triangle.

Short leg = 8, long leg = 8√3

For 30-60-90 right triangle:

short leg = hypotenuse/2 = 16/2 = 8 , true:

long leg = short leg*√3 = 8√3, true.

Answer:

Hi there hope ur having a good day , the answer is

18P

Step-by-step explanation:

[6 X 3]P

18P

Answer:

18P

Step-by-step explanation:

[3X 6]P

18P

Have a great day

Answer:

C

Step-by-step explanation:

Answer:

y > 2 / 3x + 3 ; Option C

Step-by-step explanation:

Consider the y - intercept and slope of the following graph;

[tex]y - intercept = ( 0, 3 ) In Other Words - 3\\slope = rise / run = 2 / 3, In Other Words- slope = 2 / 3[/tex]

Now let us formulate an equation given this information;

[tex]Take Equation In Form - y = ax + b, where a - slope, b - yintercept,\\y = ax + b, a = 2 / 3, b = 3, substitute\\y = 2 / 3x + 3[/tex]

If this graph represents a dotted line, the shaded portion being > than that of the line, we can say that instead of the = being in the equation y = 2 / 3x + 3, take a greater than sign!

[tex]Solution ; y > 2 / 3x + 3[/tex]

y > 2 / 3x + 3 ; Option C

Answer:(4,-2)

Step-by-step explanation: elimination method

3(3x+5y)=2×3

9x+11y=14

9x+15y=6

-

9x+11y=14

4y=-8

y=-2

To get x replace y with -2

3x+(5×-2)=2

3×=12

X=4

Answer:

its A

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

I think you have to use the product rule for counting- which is where you multiply the two numbers. I'm not sure if this is right but I hope I helped

Answer:

5 shirts

Step-by-step explanation:

Think of this question like this, where each shirt option (5 options) has a number:

Shirt #1, Shirt #2, Shirt #3, Shirt #4, and lastly Shirt #5

Without using much math, the answer is 5 shirts because every possible outcome (of the 4 shirts Michael must pick to bring on vacation) will leave exactly one shirt that he will not be able to pack. The only possible outcomes that would fit this question would be:

1)   Shirt #1, Shirt #2, Shirt #3, and Shirt #4

2)   Shirt #2, Shirt #3, Shirt #4, and Shirt #5

3)   Shirt #3, Shirt #4, Shirt #5, and Shirt #1

4)   Shirt #4, Shirt #5, Shirt #1, and Shirt #2

5)   Shirt #5, Shirt #1, Shirt #2, and Shirt #3

Answer:

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

Step-by-step explanation:

Initial value of A is y=4 at x=0,

and

initial value of B is y=0*6+5= 5 at x=0

Function B has the greater initial value because the initial value for function A is 4 and the initial value for Function B is 5

Answer:

0.42* 1265=x

Step-by-step explanation:

There are 1265 students in Cypress Middle School. So we already know one part of the equation. 42% of these students are in PE. So we know that 42% of  these 1265 students are in PE. Of these means you probably have to multiply 42% and 1265. 42% = 0.42. So to write an equation we take the 0.42 and 1265 and put it together. Therefore, 0.42 times 1265=x.

Answer:

Tan 60 degrees = 1.732 degrees

Step-by-step explanation:

Using trigonometry value, The value of tan(60°) = 1.73205.

Trigonometry is "branch of mathematics with specific function of angles and their applications to calculation".

According to the question,

In right triangle XYZ, the value of tan(60°) = [tex]\frac{1}{\sqrt{3} }[/tex]

= 1.73205.

Hence, Using trigonometry value, The value of tan(60°) = 1.73205.

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Answer:

65/72

Step-by-step explanation:

cot is simply cosine over sine or the tangant flipped

the cos (c)=65/97

sin (c) = 72/97

cot would be (65/97)/(72/97)

How do you divide fractions? By multiplying the reciprocal!

cot would be  65/97 * 97/72

the 97s cross out.

65/72

Answer:

1:05 pm

Step-by-step explanation:

1:05 pm is the latest time

Answer:

2g²h³

Step-by-step explanation:

34g⁵h⁶=2*17g⁵h⁶

4g²h³=2²g²h³

22g⁶h³=2*11g⁶h³

GCF(34g⁵h⁶; 4g²h³; 22g⁶h³)=2 g²h³

Answer:

25

Step-by-step explanation:

24 + 1

The value of 8th term of the sequence will be 25.

The nth term of a sequence is given by T = a+ (n-1) d, here a is the first term and d is the common difference.

The nth term of the sequence is 3n+1

The 8th term will be 3 * 8 + 1 = 25

Therefore, the value of 8th term of the sequence will be 25.

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Answer:

2540000 x

Step-by-step explanation

the answer is 2540000...

Answer:

d) 3 1/4

Step-by-step explanation:

The equation for the total distance traveled per day is  1/4 ÷ 3 = 1/12 of the total distance

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total distance traveled per day be represented as A

Now , the equation will be

The distance traveled for the last 3 days = 1/4 of the total distance

So ,

Total distance traveled per day = distance traveled for the last 3 days / 3

Substituting the values in the equation , we get

Total distance traveled per day A = ( 1/4 ) / 3

On simplifying the equation , we get

Total distance traveled per day A = 1/12 of the total distance

Hence , the equation is 1/4 ÷ 3 = 1/12

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Answer:

31

Step-by-step explanation:

m<ACB is half of the angle AOB  so u divide 62/2 and the answer is31

Answer:

$325

Step-by-step explanation:

Let x be the cost of the bench.

Therefore, x + (x-96)=554

2x-96=554

2x=650

x=325

Answer:

The bench cost $229 and the garden table costs 229 + 96 = $325

Step-by-step explanation:

let the cost of the bench = x

the cost of the garden table = x + 96

x + (x + 96) = 554

2x + 96 = 554

2x = 458

x = 229

Answer:

[tex] \frac{1}{5} [/tex]

Step-by-step explanation:

Given geometric sequence is: 625, 125, 25, 5, 1

Common ratio

[tex] r = \frac{succeeding\: term}{preceding \: term} \\\\

\therefore r = \frac{125}{625} \\\\

\therefore r = \frac{1}{5} [/tex]

Answer:

B or 25/125

Step-by-step explanation:

Got it right

Taking into account the definition of probability, the correct option is option A.: The probability that the child has a  speaking part is [tex]\frac{2}{5}[/tex].

There are 20 children in the cast of a class play, and 8 of the children are boys. Then,   realizing the difference between the number of children and the number of boys you get that 12 of the children are girls.

On the other side, of the boys, 4 have a speaking part in the play, and of the girls, 8  do not have a speaking part in the play. Then, calculating the difference between the number of girls there are and the number of them that they do not have a speaking part in the play is obtained: 12 girls - 8= 4 girls. So, of the girls, 4  do not have a speaking part in the play.

Therefore, 4 + 4 = 8 of the children have a speaking part.

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]

In this case:

Replacing in the definition of probability:

[tex]P(A)= \frac{8}{20}[/tex]

Simplifying the fraction:

[tex]P(A)= \frac{2}{5}[/tex]

Then, the correct option is option A.: The probability that the child has a  speaking part is [tex]\frac{2}{5}[/tex].

Answer: $29.62

Step-by-step explanation:

6.79 * 3 = 20.37

9.25 * 1 = 9.25

So, 20.37 + 9.25 = 29.62

Answer:

D

Step-by-step explanation:

(6.79*3)+(9.25*1)=29.62

we multiply the cost of shortening a pair of pants by the number of pants brought and the cost of a dress multiplied by the number of dresses to get our answer

Answer:

hope this helps you