which of the following is true regarding number sets? a. all integers are whole numbers b. all irrational numbers are real numbers c. all real numbers are integers d. all rational numbers are natural numbers

Answer:

Step-by-step explanation:

Let the mass of the metal be x

From the question

5/9 of the metal is 7kg

That's

[tex] \frac{5}{9} x = 7[/tex]

Multiply through by 9

We have

5x = 7 × 9

5x = 63

Divide both sides by 5

[tex] \frac{5x}{5} = \frac{63}{5} [/tex]

We have the final answer as

x = 12.6 kg

Hope this helps you

Answer:

Hey there!

We have that 4/5, or 80% of the 60 students passed the exam.

Thus, we have:

0.8(60)=48

48 students passed the exam.

Let me know if this helps :)

Answer:

3^2  = 9

(-4+5)^2-11+2^3 = -2

-2/9 or -9/2 ... re-read question is 3^2 dividing into (-4+5)^2-11+2^3

or the other way around... I think that there is a missing word...

3^2 "divided into"

vs 3^2 "divided by"

Step-by-step explanation:

Answer:

option d

sorry it took so long.

Answer:

- 1

Step-by-step explanation:

The average rate of change of g(x) in the close interval [ a, b ] is

[tex]\frac{g(b)-g(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 6 ] , then

g(b) = g(6) = 6² - 10(6) + 19 = 36 - 60 + 19 = - 5

g(a) = g(3) = 3² - 10(3) + 19 = 9 - 30 + 19 = - 2

average rate of change = [tex]\frac{-5-(-2)}{6-3}[/tex] = [tex]\frac{-5+2}{3}[/tex] = [tex]\frac{-3}{3}[/tex] = - 1

Answer:

201, 206, 216, 228, 240

Step-by-step explanation:

Points are

[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(4+2)^2+(4+2)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{6^2+6^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36+36}[/tex]

[tex]\\ \sf\longmapsto \sqrt{72}[/tex]

[tex]\\ \sf\longmapsto 8.4[/tex]

Answer:

it can be 5 from my side is that right

Answer:

is ur question right

Step-by-step explanation:

is ur question right

is ur question right

is ur question right

Answer:    The x intercept for Line A is 2  and the x-intercept for line B is -6.

Step-by-step explanation:

Line A uses the equation   y = -1/2x + 1   and to find the x intercept y has to be zero so set the equation equal  0 and solve for x.

0 = -1/2x + 1       Subtract one from both sides

- 1               -1  

-1 = -1/2x              divide both sides by -1/2

x = 2    

So the x intercept for A is   2  

For Line B it already indicates the  x intercept because that is when y is 0. So when  y  is  0  then x is -6.

Answer:

5

Step-by-step explanation:

Use pythagorean theorem. A^2+B^2=C^2

13 is c because it is the hypotenuse and across from the right angle

a is unknown and b is 12

A^2+12^2=13^2

A^2 +144 = 169

A^2 = 169- 144

A^2= 25

now take the sq root of both side

A = 5

Answer:

17.7

Step-by-step explanation:

Answer:

18. [tex] x = 8 [/tex]

19. [tex] c = 9 [/tex]

20. [tex] d = \sqrt{10} [/tex]

21. 83 1/3 ft

22.

a. decay

b. growth

c. decay

Step-by-step explanation:

18.

[tex] \sqrt{x + 1} + 12 + 10 = 25 [/tex]

[tex[ \sqrt{x + 1} = 3 [/tex]

Square both sides.

[tex] x + 1 = 9 [/tex]

[tex] x = 8 [/tex]

19.

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

[tex] (\sqrt{75})^2 + (\sqrt{6})^2 = c^2 [/tex]

[tex] 75 + 6 = c^2 [/tex]

[tex] 81 = c^2 [/tex]

[tex] c = 9 [/tex]

20.

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(3 - 4)^2 + (-9 - (-6))^2} [/tex]

[tex] d = \sqrt{(-1)^2 + (-3)^2} [/tex]

[tex] d = \sqrt{1 + 9} [/tex]

[tex] d = \sqrt{10} [/tex]

21.

Max: 5 ft tall; 3 ft shadow

Building: x ft tall; 50 ft shadow

5 ft is to 3 ft as x ft is to 50 ft

5/3 = x/50

3x = 250

x = 250/3

x = 83 1/3

Answer: 83 1/3 ft

22.

Exponential function:

y = a(b)^x

b is the number in parentheses raised to exponent x.

If b > 1, it is growth.

If b is between 0 and 1, it is decay.

Look at each case.

a. 0.85 is between 0 and 1: decay

b. 1.025 > 1: growth

c. 0.682 is between 0 and 1: decay

Answer:

x = 105°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles

x is an exterior angle of the triangle , then

x = 69° + 36° = 105°

Answer:

f(x) = 2x + 10

Step-by-step explanation:

Let's call this function f(x), where f(x) is time to get the order ready and x is the number of parts:

2x is the time to manufacture all parts of the order and 10 min is the time to pack them.

Answer:

2x + 10 is the correct answer :)

Answer:

1.35

Step-by-step explanation:

Answer:

y=2x-5

Step-by-step explanation:

First simplify: y-1=2x-6

y-1=2(x-3)

First simplify and distribute everything.

y-1=2x-6

So, x equals 2 because it got distributed into the numbers inside the parenthesis.  Same with the 2 and -3.  They multiplied to become -6.

Since it's y-1=2x-6, you can simplify it even more so the -1 goes to the other side and turns into positive 1.

y - 1 (+ 1) = 2x -6 (+ 1)

-1(+1)=0 which leaves just the variable y on the left side.

-6(+1)=-5 which leaves 2x-5 on the right side.

This results in y=2x-5.  Hope this helped ;)

Answer:

y = 2x - 5

Step-by-step explanation:

y - 1 = 2(x - 3)

y - 1 = 2x - 6

y - 1 + 1 = 2x -6 + 1

y = 2x - 5

Answer:

Amplitude = 2

Step-by-step explanation:

The amplitude of this sine wave is 2 denoted by the coefficient -2 in front of the sin(x).  The negative of the coefficient denotes that the sine wave is the opposite of the standard sine wave.

Cheers.

Answer:

(4x10^1)(2x10^4)

=40^1 × 20^4

=800^5

Answer:

8 x 10^5

Step-by-step explanation:

We can start by grouping the powers of ten together and the other numbers together, as you can move numbers around when multiplying:

4 x 2 x 10^1 x 10^4

4 multiplied by 2 is 8, so we can put that in:

8 x 10^1 x 10^4

Next, using the product rule, 10^1 x 10^4 would be ten to the power of the sum of the two exponents, or 10^(4 + 1), which is 10^5.

We will be left with

8 x 10^5

This is in scientific notation, so no further modification is needed.

The value of the unknown number is calculated as - 3

Let the unknown number = y

5  less than the number is written as = y - 5

1 more than three times the number is written as = 1 + 3y

Since the first statement and the second statement are equal, we can equate the two and solve for y.

y - 5 = 1 + 3y

collect similar terms together

y - 3y = 1 + 5

-2y = 6

y = -6/2

y = -3

Therefore, the number is - 3

learn more here: https://brainly.com/question/22548668

Building and solving the expression, it is found that the number is -3.

------------------

They are equivalent, thus:

[tex]x - 5 = 1 + 3x[/tex]

Solving for x.

[tex]3x - x = -5 - 1[/tex]

[tex]2x = -6[/tex]

[tex]x = -\frac{6}{2}[/tex]

[tex]x = -3[/tex]

The number is -3.

A similar problem is given at https://brainly.com/question/20742606

Hi there! :)

Answer:

[tex]\huge\boxed{m\leq 2}[/tex]

Equation:

8m - 6 ≤ 10

Add 6 to both sides:

8m ≤ 16

Divide both sides by 8:

8m/8 ≤ 16/8

m ≤ 2

Answer:

8m - 6≤ 10

m≤2

Step-by-step explanation:

8m - 6≤ 10

Add 6 to each side

8m - 6+6≤ 10+6

8m ≤ 16

Divide each side by 8

8m/8 ≤16/8

m≤2

Answer:

Scalene Right Triangle

Step-by-step explanation:

A possible type of triangle that has no equal sides and one right angle is a right triangle.

Right triangles have just one angle that is equal to 90°, and they can be either isosceles or scalene triangles.

Hope this helped!

Answer:

Angle C and Angle B 61 degree as Angle 119 is supplementary to angle B and C (180-119=61)

Answer:

Hope it helps

Step-by-step explanation:

a)= 1 grade = 9/10 degree

150 = 9/10 × 150 degree

= 135 degree

b ) = solution

x+3 = 6

so, x = 3

y = 4

c) = let the unknown angle be x

now,

converting 60 grades into degree

= 60×9/10

= 54°

now

54° + 90° + x = 180°

144°-180° = -x

so, x = 36°

Answer:

C

Step-by-step explanation:

Not all real numbers are irrational.

Answer:

prime

Step-by-step explanation:

3x^2 + 5x + 1

3x^2  factors in to 3x and x

1 factors into 1 and 1

( 3x   + 1) ( x+1)

We need to verify the middle is 5

3x+1x = 4x

so this is not true

We cannot factor this so it is prime

Answer:

[tex]\large \boxed{\sf Prime}[/tex]

Step-by-step explanation:

[tex]3x^2 + 5x + 1[/tex]

We need to find two numbers that add to 5 and multiply to get 1.

There are no real numbers.

The expression cannot be factored. The expression is prime.

Answer:

Rational, integer, natural, whole, rational numbers

Step-by-step explanation:

17 is a rational, integer, natural, whole, and is a rational number. I'm not totally sure why rational is on there, since rational and rational number should be the same thing. Basically it's everything but "only". If rational is supposed to mean irrational, then it's not irrational.

Answer:

Step-by-step explanation:

These are geometric means problems. In the top one, a is the geometric mean as the height for both the smaller triangles inside the big one. Therefore,

[tex]\frac{4}{a} =\frac{a}{25\\}\\a^2=100\\a=10[/tex]

The next one has the geometric mean of b, being a part of the smaller triangle on the left and the big triangle as a whole:

[tex]\frac{4}{b} =\frac{b}{29}\\b^2=116\\b=10.77[/tex]