Classify each number below as a rational number or irrational number

Answer:

12 in Mathematics and 16 in Science

Step-by-step explanation:

12+16=28

12+3=15 and 16-4=12

15*12=180

Answer:

He got 12 marks in mathematics and 16 in science.  

Step-by-step explanation:

M + S = 28, (M + 3)(S - 4) = 180.

(M + 3)(S - 4) = MS - 4M + 3S - 12 = 180

MS - 4M + 3S - 12 = 180

MS - 4M + 3S = 192

M + S = 28

S = 28 - M

M(28 - M) - 4M + 3(28 - M) = 192

28M - [tex]M^{2}[/tex] - 4M + 84 - 3M = 192

-[tex]M^{2}[/tex] + 21M = 108

-[tex]M^{2}[/tex] + 21M - 108 = 0

(-M + 9)(M - 12) = 0

M = -9, 12

S = 37, 16

1st solution:

(-9 + 3)(37 - 4) = 180

-6 * 33 = 180

-198 = 180

2nd solution:

(12 + 3)(16 - 4) = 180

15 * 12 = 180

180 = 180

Therefore, M = 12 and S = 16.

Answer:

15 1/3 envelopes in 1 minutes

Step-by-step explanation:

Take the number of envelopes and divide by the number of minutes

460 envelopes / 30 minutes

15.333333.... envelopes per minute

15 1/3 envelopes in 1 minutes

Answer:

use the two minute rule. you tell yourself you will study for two minutes or ten minutes and then if you're in a flow you keep going. hope this helps :)

Step-by-step explanation:

10x-12 is the equation form

The point at which lines, planes and points meet is referred to as the point of intersection or simply intersection.

The intersection of TV and US, US and plane R & TU and UV is point U

From the attached figure, we have the following observations

1. Line segments TV and US intersects at point U.

This means that the intersection of TV and US is point U

2. Line segment US and plane R intersects at point U

This means that the intersection of US and plane R is point U

3. Line segments TU and UV intersects at point U

This means that the intersection of TU and UV is point U

Hence, the name of the three intersections is point U

Read more about lines and planes at:

https://brainly.com/question/13081016

Answer:

Z/X

Step-by-step explanation:

cause sin is p/h and p=Z and h=X

[tex] \displaystyle \large \tt{ \sin a = \frac{opposite}{hypotenuse} }[/tex]

First, we have to focus on ∠a, at the angle a or ∠a, the opposite is z because ∠a is the opposite side of z.

The hypotenuse side is always x, even if we change from ∠a to ∠b (b = 90°-a)

So what we have now are:

Substitute the letter in the ratio:

[tex] \displaystyle \large \boxed{ \sin a = \frac{z}{x} }[/tex]

Answer:

your answer is -40

I hope it's helps you

Answer:

-40

Step-by-step explanation:

-4*-2*-5

+8*-5

-40

-*-=+

-*+=-

Answer:

d=-2

Step-by-step explanation:

a10=5, a10=a+(10-1)d

5=23+9d, d=-2

Answer:

d is -2

Step-by-step explanation:

From arithmetic progression:

[tex]{ \bf{a_{n} = a + (n - 1)d }}[/tex]

substitute:

[tex]{ \sf{5 = 23 + (10 - 1)d}} \\ { \sf{5 - 23 = 9d}} \\ { \sf{9d = - 18}} \\ { \sf{d = \frac{ - 18}{9} }} \\ \\ { \sf{d = - 2}}[/tex]

Hi, I'm happy to help!

To solve, this, we need to find the distance in x coordinates, y coordinates, then use the Pythagorean Theorem, let's solve!

First, we have to find the distance in x coordinate values. The first coordinate is -8, and the second is -4, which means there is an x distance of 4.

Next, we need to find the distance in y coordinate values. The first coordinate is -2, and the second is 5, meaning there is a y distance of 7.

From here, we use the Pythagorean Theorem. This states that a²+b²=c².

This applies to right triangles, which is what we have. The x distance is a, the y distance is b, and the overall distance is c. We need to find c to answer the question. Let's plug in our values:

4²+7²=c²

16+49=c²

65=c²

To find c, we need to find the square root of 65.

√65

8.0622577...

Rounding to the nearest tenth is 8.1.

The distance between the two points is about 8.1.

I hope this was helpful, keep learning! :D

Answer:

blue ball is zero, red ball is 1-0.38=0.62

Step-by-step explanation:

1. no blue balls

2. probabilities have to add to 100%

Answer:

The scale of a map is 1:250000.The actual distance between two cities is 80 km. Calculate this distance on the map. Give your answer in centimetre

Step-by-step explanation:

1 m = 100 cm

1 km = 1000 m = 100 000 cm

1:250 000 mean that 1 cm on the map represents an actual distance of 250 000 cm = 2.5 km

1:250 000 = 2.5 km / cm

80 km / 2.5 km / cm = 32 cm

OR

80 km = 8 000 000 cm

8 000 000 cm ∙ 1 / 250 000 = 8 000 000 cm / 250 000 = 32 cm

Answer:

do you have a photo that makes it easier?

Answer:

X should equal 12.

Step-by-step explanation:

I say this because we know TED= 30° bc 50°-20° = 30

then u have to think about what × 2 + 6 equals 30

sure enough 12 × 2 = 24 and 24 + 6 = 30

that's why I say X equals 12

Answer:

-71/4

Step-by-step explanation:

Answer:

#3. a non-terminating and non-repeating

Step-by-step explanation:

6.55743... never ends and it never repeats either

Answer:

Not terminating but doesn't repeat either

Step-by-step explanation:

Answer:

t = Gx + a

Step-by-step explanation:

G = t - a/x             (Given)

G(x) = (t - a/x)x     (Multiply x on both sides)

Gx = t - a              (Simplify)

Gx + a = t - a + a  (Add a on both sides)

Gx + a = t             (Simplify)

Answer:

rational number

Step-by-step explanation:

a whole number is a non-negative integer, a natural number is a positive integer, an integer is any number that doesn't have decimal places and isn't a fraction. 7/8 isn't an integer so it isn't a whole or natural number. rational numbers can be written as fractions or are terminating decimals. 7/8 is a fraction so 7/8 is a rational number

Answer:

Sea level.

Step-by-step explanation:

Answer:

d=126 (m)

Step-by-step explanation:

Let say:

d the distance from the bottom to the top

t1 the time used for running up

t2 the time for running down

[tex]\left\{\begin{array}{ccc}d&=&3*t_1\\d&=&7*t_2\\t_1+t_2&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}d&=&3*t_1\\t_2&=&\dfrac{3}{7} t_1\\t_1+\dfrac{3}{7} t_1&=&60\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}t_1&=&\dfrac{60*7}{10}=42 \\\\t_2&=&\dfrac{3*42}{7}=18\\\\d&=&3*42=126\\\end{array}\right.\\[/tex]

Answer:

-4

Step-by-step explanation:

you would subtract m from both sides to get -4=m

Answer:

7 kilometers per litre

Step-by-step explanation:

Take the distance and divide by the number of litres

28 kilometers/ 4 litres

7 kilometers per litre

Answer: D,E,F

Step-by-step explanation:

collinear means points on the same line

Answer:

-6d -15

Step-by-step explanation:

-3(2d + 5)

Distribute

-3 *2d -3*5

-6d -15

Answer:

x is 130 degrees. y is 80 degrees.

Step-by-step explanation:

Step-by-step explanation:

since ABCD is a Rhombus, x = 180-50 = 130°

y = 180-(50+50)= 80°

Answer:

[tex](g\circ f)(-4) = 32[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x) = -2x - 3\text{ and } g(x) = 2x^2 - 2x - 8[/tex]

And we want to find the value of:

[tex](g\circ f)(-4)[/tex]

Recall that this is equivalent to:

[tex]\displaystyle = g(f(-4))[/tex]

Find f(-4):

[tex]\displaystyle \begin{aligned}f(-4) &= -2(-4) - 3 \\ &= 5 \end{aligned}[/tex]

Hence:

[tex]g(f(-4)) = g(5)[/tex]

Finally, find g(5):

[tex]\displaystyle \begin{aligned}g(5)& = 2(5)^2 - 2(5) - 8 \\ &= 32 \end{aligned}[/tex]

In conclusion:

[tex](g\circ f)(-4) = 32[/tex]

Answer:

Step-by-step explanation:

5f+4f-8=19

=> 9f = 19 + 8

=> 9f = 27

[tex] = > f = \frac{27}{9} [/tex]

=> f = 3 (Ans)

Answer:

50

Step-by-step explanation:

4x+16=x+166

-x        -x

3x+16=166

    -16  -16

       3x=150

     /3     /3

       x=50

Answer :

• 50

Step-by-step explanation: