The figure is cut into 15 equal pieces. 2. Shade of the figure. 5​

Answer:

242

Step-by-step explanation:

165 ÷ 15 = 110

110 × 2.2 = 242

The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km.

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

As per the given,

A train covers 165 km in 1.5 hours.

The ratio of distance covered to the number of hours is 165/1.5.

Let's say in 2.2-hour train travel x number of km.

The ratio of distance covered to the number of hours x/2.2

Both ratios must be the same,

x/2.2 = 165/1.5

x = 110 x 2.2 = 242 km

Hence "The distance that trains travel in 2.2 hours with the same ratio or same speed will be 242 km".

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Answer:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Step-by-step explanation:

Given that polynomial:

[tex]p(x)=x^3-7x-6[/tex]

Known factor: [tex](x+1)[/tex]

To find:

Equation of the polynomial as the product of linear factors.

Solution:

The degree of polynomial is 3, and when we divide it by a linear equation, the result will be a quadratic.  That quadratic will have 2 solutions.

We can solve the quadratic in two linear factors and as a result we will have the answer.

First of all, we need to divide the polynomial [tex]p(x)[/tex] with the given factor [tex](x+1)[/tex] to find the other factors.

[tex]\dfrac{x^3-7x-6}{x+1} = x^2-x-6[/tex]

Solving the quadratic:

[tex]x^2-x-6 = x^2-3x+2x-6\\\Rightarrow x(x-3)+2(x-3)\\\Rightarrow (x+2)(x-3)[/tex]

So, the answer is:

[tex]p(x)=x^3-7x-6 = (x+1)(x+2)(x-3)[/tex]

Answer:

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

Step-by-step explanation:

Answer:

-20 < x < -3

Step-by-step explanation:

*math*

Answer:

Step-by-step explanation:

b

Answer:

Hi,

LHS = sinA-cosA+1/sinA+cosA-1

divide both numerator and denominator by cosA

LHS=(tanA−1+secA)/(tanA+1−secA)LHS=(tanA−1+secA)/(tanA+1−secA)

Now

sec2A=1+tan2Asec2A=1+tan2A

sec2A−tan2A=1sec2A−tan2A=1

Using above relation at denominator of LHS

LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)

LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))

LHS=1/(secA−tanA)LHS=1/(secA−tanA)

LHS=RHSLHS=RHS

Hence Proved.

I think above proof will clear your doubt,

All the best.

Answer:

1.5

Step-by-step explanation:

Do the reverse/opposite/check division with multiplication.

2.5 · 0.6 = 1.5  

Answer:

1.567 rounded to the nearest tenth place

5 is in the tenth place and 6 is after it. 6 is above 5, so 5 rounds up.

1.6 is your answer

Answer:

I don't understand the first one

Answer:

Step-by-step explanation:

C

the equation would be y=2x+4

The solution is Option C.

The linear equation is given as y = 2x + 4

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the x values be = { -4 , -2 , 0 , 2 }

Let the y values be = { -4 , 0 , 4 , 8 }

The slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 0 - ( -4 ) / ( -2 - ( - 4 ) )

On simplifying the equation , we get

Slope m = 4/2 = 2

Now , the equation of line is

y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 0 = 2 ( x - ( -2 ) )

On simplifying the equation , we get

y = 2x + 4

Hence , the linear equation is y = 2x + 4

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Answer:

The answer x = 75

Step-by-step explanation:

A triangle's angles must add up to 180 degrees.

We already have 47 and 58 which is 105. 180 - 105 = 75.

Answer:

a) What is the unit rate for inches per mile on this map?

= 5/4 inches per mile

b) If road B is 8 miles long, how long is road B on the map?

10 inches on the map

Step-by-step explanation:

a) A certain map shows two roads. Road A is 1 1/2 miles long but is 1 7/8 inches long on the map. What is the unit rate for inches per mile on this map​?

Unit rate for inches per mile is calculated as:

1 7/8 inches/ 1 1/2 miles

= 15/8 / 3/2

= 15/8 × 2/3

= 5/4 inches per miles

b) If road B is 8 miles ​long, how long is road B on the map​?

The unit rate is given as:

5/4 inches per miles

Hence,

Road B = 8 miles long

The length of Road B on the map =

5/4 inches per miles × 8 miles

= 10 inches

Answer:

for brainliest you have to give answers not to ask questions

Step-by-step explanation:

then the people choose you brainliest if you give good answers

Answer:

7 - 3 - 2 = 2

Step-by-step explanation:

Answer:

[tex]\frac{-4}{5} s = 6\\-4s = 6*5\\-4s = 30\\s = \frac{30}{-4}[/tex]

s = 30/-4   or      -7.5

Answer:

5040

Step-by-step explanation:

multiplying is just repeated addition so this would be the same as adding 8+8 5 times and 21+21 6 times

Answer:

The electric train produces no smoke.

Step-by-step explanation:

Hope this helped! :>

Answer:

There is no smoke.  This is because the train is electric so it does not even matter the direction.

Answer:

$2368.75

Step-by-step explanation:

Kedar earns a monthly salary of $2200 and a commission of 3.75%

He sold $4500 this month

The first step is to calculate his commission for this month

His commission can be calculated as follows

= 4500 × 3.75/100

= 4500 × 0.0375

= 168.75

Therefore yr amount earned this month can be calculated as follows

= 2200 + 168.75

= $2368.75

Answer: 4 1/4

Step-by-step explanation:

8 5/8

-4 3/8

4 2/8 or 4 1/4

Answer:

100*100/23+(24/8)

100*100/23+3

100*4.37+3

43.7+3

46.7

Step-by-step explanation:

The two possible measurements given by the student are :

Given the Parameters :

The length of the error in measurement can be calculated thus :

Therefore the student's measurement can be expressed as :

Therefore, the possible measurements of the student are 19 or 21 cm

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Answer:

153

Step-by-step explanation:

Answer:

78 adult tickets were sold

2x + x = 234

3x = 234

x = 78

Answer:

A) 0."36"

B)It is a repeating decimal because .36 is repeated indefinitely. Terminating decimals contains a finite number of digits after the decimal point.

Step-by-step explanation:

Answer:

radius squared

Step-by-step explanation:

Answer:  1 3/4 cups of apples in each batch

Step-by-step explanation:

STEP  1

Writing out the equation to represent if 7 cups of  apples make 4 batches   One batch is as a result of how many  cups of apples

LET x be number of cups of apples to make each batch

7 cups of  apples = 4 Batches

        x cups of apples = 1 Batch

STEP 2  Solving by cross multiplication

1 batch x 7 cups of apples = 4 batches  X x cups of apples

x cups of apples=1 batch x 7 cups of apples / 4batches

x   = 7 / 4 =  1 3/4

number of cups of apples to make each batch=  1 3/4

Answer:

C.15

Step-by-step explanation:

one box has 5 chocolates so 3*5=15

Answer:

y= -3/2^2-7x-23/2

Step-by-step explanation:

Answer:

y=-3/2x

Step-by-step explanation: