-10.3r = 1.03 what is R?

Let the tens digit of the number be x .

ones digit = ( 14 - x ) ( since the sum of the 2 digits is 14 )

Two - Digit number = 10 ( tens digit ) + ones digit

Required number ,

Reversed number ,

Given ,

Reversed number - Required number = 36

✯ 140 - 9x - ( 9x + 14 ) = 36

✯ 140 - 9x - 9x - 14 = 36

✯ 126 - 18x = 36

✯ 126 - 36 = 18x

✯ 18x = 90

✯ x = 5

♧ Thus , Required number is 10 × 5 + 9 = 59

Given -

i.e, if two numbers are x and y then, x + y = 14

i.e, if 10y + x then 10y + x = 10x + y + 36.

To find -

Concept -

If a, b and c are real number (and if a and b both are not equal to 0) then ax+by=c is called a linear equation in two variables (The two variables are x and y)

The numbers a and b are called the coefficient of the equation ax+by=c. The number r is called the constant of the equation ax+by = c

PS - first we will construct two linear equations and then we'll find the number.

Solution -

Let, x + y = 14

➜ y = 14 - x ----(i)

and we'll solve 10y + x = 10x + y + 36 further,

➜ 10y + x = 10x + y + 36

➜ 10y - y = 10x - x + 36

➜ 9y = 9x + 36

➜ 9x - 9y = -36

➜ 9(x - y) = -36

➜ x - y = -4 ----(ii)

Substituting the value of y (in equation (i)) in equation (ii),

➜ x - (14 - x) = -4

➜ x - 14 + x = -4

➜ 2x = -4 + 14

➜ 2x = 10

➜ x = 10/2

➜ x = 5

Now to find the value of y we will substitute the value of x in equation (i),

➜ y = 14 - 5

➜ y = 9

Therefore, the number is {10(5)+9,i.e,} 59.

Answer:

b = 9

Step-by-step explanation:

0.5 bh= 29.25

thus

(0.5)(b)(6.5)=29.25

thus

b= 58.5/6.5 = 9

Answer:

9?

Step-by-step explanation:

Step-by-step explanation:

Pythagoras's rule:  [tex]a^2 + b^2 = c^2[/tex]  becomes  [tex]x^2 + 10^2 = y^2[/tex]

If we say b = 10: [tex]b = 10 = \sqrt{c^2 - a^2} = \sqrt{y^2 - x^2}[/tex]

You only need to look at the left triangle

Which of the options follows Pythagoras's rule?

Let's try the options until we get the right one (in no particular order)

If we try: 3) x = 4 y = [tex]29\sqrt{2}[/tex]...

[tex]\sqrt{(29\sqrt{2})^2 - 4^4} = 7\sqrt{34} \neq 10[/tex]

If we try: 4) x = 16 y = 116...

[tex]\sqrt{116^2 - 16^2} = 20\sqrt{3} \neq 10[/tex]

If we try: 2) x = 16 y = 29...

[tex]\sqrt{29^2 - 16^2} = 3\sqrt{65} \neq 10[/tex]

If we try: 1) x = 4 y = [tex]2\sqrt{29}[/tex]...

[tex]\sqrt{(2\sqrt{29})^2 - 4^2} = 10[/tex]

Answer:

The answer is A. Mean; because the data is skewed and there are outliers

Answer:

The answer is A

Answer:

Letter A is 100 degrees.

Letter B is 80 degrees.

Step-by-step explanation:

50+60= 110

180-110= 80 <- the leftover degrees for the triangle

a line is 180 degrees, so 100 degrees is left over for letter A.

Answer:

C. 2160π units³

Step-by-step explanation:

Volume of a cylinder is given by the formula :

V = πr²h

Substituting values given gives us :

V = π(12)²(15)

V = π(144)(15)

V = 2160π units³ (since it is volume)

Answer:

[tex]\boxed{\sf{C. \quad 2160\pi \quad units^3}}[/tex]

Step-by-step explanation:

It is necessary to use their formula to solve this problem with the volume of the cylinder.

Volume of the cylinder formula:

[tex]\Longrightarrow: \sf{V=\pi r^2h}}[/tex]

[tex]\sf{12^2(15)}[/tex]

Solve.

Use the order of operations.

PEMDAS stands for:

First, solve with exponents.

[tex]\sf{12^2=12*12=144}[/tex]

Then, rewrite the problem down.

144(15)

Multiply.

[tex]\sf{144*15=\boxed{\sf{2160}}}[/tex]

Answer:

10.71

Step-by-step explanation:

You first convert 75.4 millimeters to centimeters, and you will get 7.54. Now you subtract 18.25 and 7.54 to get the answer 10.71

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \tt \dashrightarrow \:16x - 4 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:16x - 4 + 4 = 0 + 4[/tex]

[tex]\qquad \tt \dashrightarrow \:16x = 4[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 4 \div 16[/tex]

[tex]\qquad \tt \dashrightarrow \:x = \frac{1}{4} [/tex]

The Value of x is :-

16x - 4 = 0

16x = 4

x = 4/16

x = 1/4

Answer:

3 1/5 meters

Step-by-step explanation:

1/4 in. on map ⇒ 1 meter in real life

⇒ 4/5 in. = 16/20 inches

⇒ 16/20 inches = 1/5 x 16 = 3 1/5 meters

Answer:

[tex]m = 3 m = - \frac{9}{4} [/tex]

Step-by-step explanation:

correct me if I'm wrong

Answer:

Answer Linked below

Step-by-step explanation:

Answer: [tex]x=18[/tex] ; [tex]y=6\sqrt{3}[/tex]

Step-by-step explanation:

You can write two expressions that are in terms of 'x' and 'y'. This is a right triangle, so Pythagorean's theorem can be used. We can also use the angle to find the sine of 30 degrees.

Pythagorean's Theorem:

The values 'a' and 'b' are the two shorter sides of the triangle, while the value 'c' is the longest side of the triangle; the hypotenuse.

[tex]a^2+b^2=c^2[/tex]

[tex]x^2+y^2=(12\sqrt{3} )^2[/tex]

[tex]x^2+y^2=12^2*\sqrt{3} ^2=432[/tex]

Sine of the Angle:

Sine is defined to be the opposite side divided by the hypotenuse. Let's take the sine of 30 degrees:

[tex]sin(\alpha )=opposite/hypotenuse[/tex]

[tex]sin(30)=y/12\sqrt{3}[/tex]

[tex]\frac{1}{2} =y/12\sqrt{3}[/tex]

[tex]y=6\sqrt{3}[/tex]

Plug this value of 'y' into the first expression derived from Pythagorean's theorem:

[tex]x^2+y^2=432[/tex]

[tex]x^2+(6\sqrt{3} )^2=432[/tex]

[tex]x^2+108=432[/tex]

[tex]x^2=432-108=324[/tex]

[tex]x=\sqrt{324}[/tex]

[tex]x=18[/tex]

Use this value of 'x' to solve for 'y' in the expression from Pythagorean's theorem:

[tex](\sqrt{324})^2+y^2=432[/tex]

[tex]324+y^2=432[/tex]

[tex]y^2=432-324=108[/tex]

[tex]y=\sqrt{108}[/tex]

[tex]y=\sqrt{36*3}[/tex]

[tex]y=6\sqrt{3}[/tex]

Answer:

(x-8)(x-8) are the factors of the following biominals

Answer:

Step-by-step explanation:

Pattern A = 1, 4, 7, 10, 13

Pattern B = 1, 5, 9, 13, 17

Each term is increases at a faster rate in pattern B; the difference between terms increases by one per step. In pattern A, 1 jumps to 4, while in pattern B, 1 jumps to 5. There is a difference of one. But when in pattern A, 4 jumps to 7, in pattern B, 5 jumps to 9. The is a difference of two between these two terms even though they are on the same "jump." This difference increases by one per "jump." (Jump is not the official word for this but I'm assuming this isn't a sequence problem.)

Answer:

  325 adult tickets

Step-by-step explanation:

This "sum and difference" problem can be solved by assigning a single variable to the quantity you want to know. Let 'a' represent the number of adult tickets sold. Then (a-60) is the number of student tickets sold, and the total number sold is ...

  a +(a -60) = 590

  2a = 590 +60

  a = 650/2 = 325

There were 325 adult tickets sold.

__

Check

325-60 = 265 student tickets were sold, for a total of 325+265 = 590.

_____

Additional comment

You may have noticed that the larger number of tickets (number of adult tickets) was found to be the average of the two numbers given in the problem statement. That will generally be the case for a "sum and difference" problem.

Answer:

[tex]56[/tex]

Step-by-step explanation:

[tex]10 \times 5 + 6[/tex]

[tex]50 + 6 = 56[/tex]

Answer:

S=N+2

Step-by-step explanation:

Just a heads up I don't think that this is correct

If Susan is 2 years older than Nancy then N=S-2 which stands for Nancy is 2 years yonger than Susan. So for the bottom eqaution, if Susan is 2 years older than Nancy then that should be S=N+2 to stand for the fact that Susan is 2 years older than Nancy.

I AM SO SORRY IF THIS ISN'T CORRECT

-dani <3

Answer:

S=N+2

Step-by-step explanation:

Answer:D

Step-by-step explanation: Perimeter of field is 2(length +breadth)

=2(47+158)

=410 yards.

Convert to feet= 1230ft

1ft =$3.28

1230ft will be 1230×3.28

Ans $4034.4

Answer:

option I

Step-by-step explanation:

Option I 168 yd²

The surface area =168 yd²

I hope it helped you

Answer:

25

Step-by-step explanation:

[tex]0.09a=75\\a=\frac{75}{0.09} \\0.03*a=0.03*\frac{75}{0.09} =25[/tex]

By using what we know about intersecting lines, we will see that:

When two lines intersect, 4 angles are formed. There are two properties that these angles have.

a) We know that ∡5 = 47°

And 7 is not adjacent to 5, then 7 has the same measure:

∡7 = 47°

b) 6 and 5 are adjacent, then we must have that:

∡5 + ∡6 = 180°

47° + (2x - 5)° = 180°

That is the equation we need to solve to get the value of x.

c) To solve the linear equation we need to isolate x, let's do that:

47° + (2x - 5)° = 180°

(2x - 5)° = 180° - 47° = 133°

2x - 5 = 133

2x = 133 + 5 = 138

x = 138/2 = 69.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491

Answer:

a)  <5 and <7 have congruent angles. That means that both angles are equal, they have the same measure. This means that the measure of <7 is 47°.

<7 = 47°

b) 5 and 6 are adjacent, so this is the equation that we have to do to solve for the value of x.

<5 + <6 = 180°

47° + (2x - 5)° = 180°

c) To solve the linear equation we need to isolate x.

47° + (2x - 5)° = 180°

(2x - 5)° = 180° - 47° = 133°

2x - 5 = 133

2x = 133 + 5 = 138

x = 138/2 = 69

Answer:

x-4

Step-by-step explanation:

because a number could be x and all you have to do is subtract 4 from a number making it x-4

Answer:

4-x

Step-by-step explanation:

Because it says that x is subtracted from 4 which would make it understood that 4 is the first term and then x.

Answer:

7 songs costs $8.4

Step-by-step explanation:

6/5=  $1.2 for each song

1.2 times 7=  $8.4

7 songs costs $8.4

weekly raise= $145

let's assume the first paycheck as x.

she got a weekly raise of $145.

So, after concluding the first week she'll get $ (x+145).

likewise, after completing the second week she'll get $ (x + 145) + $ 145.

= $ (x + 145 + 145)

= $ (x + 290)

therefore, this is how her salary will get increased by $145 at the end of every week.

Answer: Since the pie is round it is a circle, and all circles have 360 degrees in total. Miguel cut 1/4 of the pie and 1/4 x 360 = 90. 90 is greater than 60.

Step-by-step explanation:

Answer:

Miguel has the larger piece. 1/4 is equal to 90, because 360/4 = 90.

So Miguel has the larger piece

Step-by-step explanation:

Answer:

y=-x2 - 8x – 18 is shown by graph D.

y=x2 - 4x + 7 is shown by graph A.

y=X+5 is shown by graph C.

y=-3x - 6 is shown by graph B.

Step-by-step explanation:

In y=-x2 - 8x – 18, the coefficient of x2 is less than 0.So the graph only has a maximum value.Thefore , the graph is point upward.

In y=x2 - 4x + 7, coefficient of x2 is greater than 0.

So the graph has a minimum point and is pointed downward.

for y =x + 5, the gradient is positive.so it is graph C.There is another way to find out too but this is quicker for now.

for y = -3x - 6, the gradient is negative ,-3.So it is the graph B.

Answer:

D A C B

Step-by-step explanation:

The point that is not on the graph of the linear equation y = 10 + x is given by:

C. (8, 2)

It is given by:

y = 10 + x.

Hence, all the points on the graph have the following coordinates:

(x, x + 10).

Option C does not follow this format, hence it is not on the graph.

More can be learned about linear equations at https://brainly.com/question/24808124

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