10 + 6x + 4x = 16 – (-4)

Answer:

I think that it is A

The solution is :  The correct option is,

(A) the sum of x and y is a rational number

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have.

We are given to consider that x = 1.5 and y = 3.

We are to select the statement that is true about the sum x + y.

To select the correct statement, we first find the value of the sum x + y.

We have

x+ y = 1.5 + 3 = 4.5

So, the value of the sum is 4.5. It is a real number.

We know that a real number is

(i) rational, if the digits after the decimal are either terminating or repeating,

(ii) irrational, if the digits after the decimal are neither repeating nor terminating.

The sum 4.5 has terminating digits after the decimal, so it is a rational number.

Thus, the sum of x and y is a rational number.

Option (A) is CORRECT.

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complete question:

Consider that x=1.5 and y=3. Which statement is true about x + y A the sum of x and y is a rational number

B the sum of x and y is an imaginary number

C the sum of x and y is an irrational number

D the sum of x and y is neither rational not irrational

Answer:

Your answer is 20

Step-by-step explanation:

It minuses 1 to every other.

Answer:

The answer is 20

Answer: 18x -15 -y =0

Step-by-step explanation:

because linear equations in two variables are always in the format of ax+by+c=0

where a,b and c are constant terms

in this case a = 18; ax= 18x

b= -1 , by= -y

c= 15

Answer:

90x + 75 = 90x + 12, they don't intersect

Step-by-step explanation:

18x + 15 - y = 0

5y = 90x + 12

1. We will be using substitution, to do so, bring y to the other side in the first eqaution.

18x + 15 - y = 0

18x + 15 = y

2. Now plug in 18x+15 into the second equation

5(18x + 15) = 90x + 12

3. Distribute and solve for x

90x + 75 = 90x + 12

Because the slopes are the same (90x) this means that the system does not have an intersect.

Answer:

only A

Step-by-step explanation:

A is correct because if a number is less than 7, the number under the square root will be negative, and that will yield an imaginary (or non-real number)

B is incorrect because even if you choose a number less than 7, the result will still yield a real number

C is incorrect due to the same logic as B

D is incorrect because you can take the cube root of a negative number without it being non-real.

Answer:

1057.89 feet

Step-by-step explanation:

Trig time! Start with a diagram and listing out your trig functions, either mentally or on paper. SOH CAH TOA

The best trig function for this problem is likely tan:

tan84.6 = height / 100

100 * tan 84.6 = height

height = 1057.89 feet

Answer:

d= -32

Step-by-step explanation:

Answer:

-5=d/4+3

-5-3=d/4

-8=d/4

-8*4=d

-32=d

Step-by-step explanation:

Answer:

if  u putted  a picture or link i cant see it

Step-by-step explanation:

Answer:

Q1 .

[tex]\frac{3y -28}{(y+2)(y-2)}[/tex]

option 3

Q2.

[tex]\frac{(x-1)(x+1)(26x-31)}{(x^2 +8)} \\[/tex]

option 2

Answer: 3x + 5y = 18  y = 2x + 1 or the second option !!

How to: Solve for the first variable in one of the equations, then substitute the result into the other equation.

Have a great day !

Answer:

i think its b but im not 100 percent sure...

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is d

Answer:

49

Step-by-step explanation:

Answer:

50 square feet.

Step-by-step explanation:

Let x represent the width of the fence and y represent the length of the fence.

One side of the length is already covered by the house. This leaves 2x and y. This must sum to 20. Hence:

[tex]2x+y=20[/tex]

The area of the enclosure will be given by:

[tex]A=xy[/tex]

From the first equation, we can subtract 2x from both sides:

[tex]y=20-2x[/tex]

Substitute:

[tex]A=x(20-2x)[/tex]

This is now a quadratic. Recall that the maximum value of a quadratic always occurs at its vertex. So, find the vertex of the equation. Distribute:

[tex]A=20x-2x^2[/tex]

In this case, a = -2, b = 20, and c = 0.

Hence, the vertex is:

[tex]\displaystyle x=-\frac{b}{2a}=-\frac{(20)}{2(-2)}=5[/tex]

Substitute this value back into the equation and evaluate:

[tex]A(5)=20(5)-2(5)^2=50\text{ ft}^2[/tex]

The maximum area is 50 square feet.

This occurs when the dimensions are 5 feet by 10 feet.

Given:

The stem-and-leaf plot or a date set.

To find:

The mode of data set.

Solution:

From the given stem-and-leaf plot, we get the numbers of the data set.

64, 67, 70, 70, 71, 75, 76, 78, 78, 80, 82, 82, 88, 91, 93, 94, 97, 98, 100, 100, 100

Mode of a date set is the most frequent value.

In the given data set the most frequent value is 100 with frequency 3.

Therefore, the mode of data set is 100. Hence, option A is correct.

Answer:it is A: 100

Step-by-step explanation:

i got it right

good luck with your test :)

Answer:

240% of 150 is 360

Step-by-step explanation:

240% of [tex]x[/tex] = 360

[tex]\frac{240}{100}[/tex] x [tex]x[/tex] = 360

2.4 [tex]x[/tex] = 360

[tex]x[/tex] = [tex]\frac{360}{2.4}[/tex]

[tex]x[/tex] = 150

Answer:

-3/5

Step-by-step explanation:

Given :-

And we need to find the value of sine for this angle. Therefore we can say that , Base = 16 units and Perpendicular = 12 units . So Using Pyhthagoras Theorem , we can find hypontenuse.

Using Pythagoras Theorem :-

[tex]:\implies[/tex] h² = p² + b²

[tex]:\implies[/tex] h² = 16² + 12²

[tex]:\implies[/tex] h² = 256 + 144

[tex]:\implies[/tex] h² = 400

[tex]:\implies[/tex] h = 20 u

Therefore the sine will be :-

[tex]:\implies[/tex] sinθ = p/h

[tex]:\implies[/tex] sinθ = 12/20

[tex]:\implies[/tex] sinθ = 3/5

[tex]:\implies[/tex] sinθ = -3/5

Therefore the value of sine is -3/5.

Answer: [tex]m=\frac{-30}{79},\ y=5.40[/tex]

Step-by-step explanation:

Given

Points are [tex]\left(6\frac{1}{3},3\right),\ \left(19\frac{1}{2},-2\right)[/tex]

Convert mixed numeral to fraction

[tex]\left(6\frac{1}{3},3\right)\Rightarrow \left(\dfrac{19}{3},3\right)\\\\\left(19\frac{1}{2},-2\right)\Rightarrow \left(\dfrac{39}{2},-2\right)[/tex]

Slope of the line is

[tex]\Rightarrow m=\dfrac{3-(-2)}{\dfrac{19}{3}-\dfrac{39}{2}}\\\\\Rightarrow m=\dfrac{5}{\dfrac{38-117}{6}}\\\\\Rightarrow m=\dfrac{-30}{79}[/tex]

Equation of line

[tex]\Rightarrow \dfrac{y-3}{x-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\text{for y-intercept, put x=0}\\\\\Rightarrow \dfrac{y-3}{0-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\Rightarrow y-3=\dfrac{190}{79}\\\\\Rightarrow y=3+2.40\\\Rightarrow y=5.40[/tex]

Answer:

[tex]a =7[/tex]   [tex]b = 2[/tex]  [tex]c = -4[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Required

Find a, b and c

[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Take LCM

[tex]\frac{3x(x -2) + 4x(x+2)}{(x + 2)(x - 2)} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Expand

[tex]\frac{3x^2 -6x + 4x^2+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Collect like terms

[tex]\frac{3x^2 + 4x^2-6x+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

[tex]\frac{7x^2+2x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

By direct comparison:

[tex]ax^2= 7x^2 \to a = 7[/tex]

[tex]bx = 2x \to b = 2[/tex]

[tex]-4 = c \to c = -4[/tex]

Answer:

A

Step-by-step explanation:

A) is the right answer.

Answer:

A

Step-by-step explanation:

A)  Yes, this is solution

b) No

c) No

d) NO

Answer:

40

Step-by-step explanation:

The first step is to calculate x

because it's a straight line all angles must add up to 180

we can write the following equation

(3x+94)+(x+30)+(2x-4)=180

6x+120=180

6x=60

x=10

Now to solve for COD just plug in 10 for x+30

10+30=40

Answer:

false

Step-by-step explanation:

Answer:

10 11 12 13 14 15 16 17 18 19

10 10 11 12 13 14 15 16 17 18 19  

Step-by-step explanation:

Answer: 23.92 kJ

Step-by-step explanation:

Given

Distance moved by wagon is [tex]d=1.2\ km[/tex]

Force [tex]F=22\ N[/tex] directed at an angle of [tex]25^{\circ}[/tex] above the horizontal

Only the horizontal component of the force that is, [tex]22\cos 25^{\circ}[/tex]the wagon will cause the wagon to move, while the other force is perpendicular to the wagon and thus produce zero displacements.

Work done is

[tex]W=F\cdot s\\W=22\times 1.2\times 10^3\times \cos 25\\W=23.92\ kJ[/tex]

thus, 23.92 kJ of work is done on the wagon.

Answer: √7 = 2.6

1. 2.6 > 2 V

2. 2.6 > 7 X

3. 2.6 < 8 V

4. √8 = 2.8 2.8 < 2 X

5. 2.8 <8 V

Step-by-step explanation:

V: mean correct

X: mean wrong

Answer:

zMNP=180-73

=107 IS THE ANSWER

Answer:

[tex]P(-2 \le x \le 2) =0.60[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{ccccccc}x & {-5} & {-3} & {-2} & {0} & {2} & {3} \ \\ P(x) & {0.17} & {0.13} & {0.33} & {0.16} & {0.11} & {0.10} \ \end{array}[/tex]

Required

[tex]P(-2 \le x \le 2)[/tex]

From the distribution, the above is equivalent to:

[tex]P(-2 \le x \le 2) =P(x = -2) +P(x = 0)+P(x = 2)[/tex]

We have:

[tex]P(x = -2) = 0.33[/tex]

[tex]P(x = 0)=0.16[/tex]

[tex]P(x = 2) = 0.11[/tex]

So:

[tex]P(-2 \le x \le 2) =P(x = -2) +P(x = 0)+P(x = 2)[/tex]

[tex]P(-2 \le x \le 2) = 0.33 + 0.16 +0.11[/tex]

[tex]P(-2 \le x \le 2) =0.60[/tex]

Answer:

ok

Step-by-step explanation:

Answer:

The length is 8.

Step-by-step explanation:

If you know the formula for area is LxW. Use this but reverse it. The area is 24 and the width is 3. Now divide 24/3=8. Simple as that!

Formula: A/W=L or A/L= W use this if you need more help! Hope it helps (:(: