which number is rational?

Answer:

Step-by-step explanation:

A fraction consists of two parts the top number and the bottom one.

Think of the top number as the count and the bottom as the size indicator. So you have:

countsize indicator −−−−−−−−−−→proper names numeratordenominator

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Consider the action example of dividing 3 into 6.

We can do this division directly because their size indicators are the same. That is, we have: 61÷31. People do not normally write it this way but it is correct.

To directly divide the counts the size indicator must be the same

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So we need to see how many of 18 will fit into 34

We can not do this directly in one operation as the size indicators are not the same.

Lets make the size indicators (denominators) the same

Multiply by 1 and you do not change the value but

1 comes in many forms.

[34×1]÷18 → [34×22]÷18

[3×24×2]÷18 → 68÷18

Now that the size indicators (denominators) are the same we can just divide the counts (numerators)

countsize indicator→[68÷18]=6÷1=6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

I could explain more showing the connection between this and the shortcut method but what I have shown you will do for now.

Answer:

b

Step-by-step explanation:

The tangent- secant angle 55° is equal to half the difference of its intercepted arcs, that is

[tex]\frac{1}{2}[/tex] (170 - x) = 55 ( multiply both sides by 2 to clear the fraction )

170 - x = 110 ( subtract 170 from both sides )

- x = - 60 ( multiply both sides by - 1 )

x = 60 → b

Answer:

if you are factoring the answer is 2(n-1)

if simplifying the answer is 2n-2

Step-by-step explanation:

See image below:)

Answer: 9 tilapia

Step-by-step explanation:

The ratio of 6:20 for tilapia to catfish means that for every six tilapia, there are 20 catfish in the pond.

If there are 30 catfish, use direct proportion to find out the number of tilapia:

6     :      20

x     :       30

Cross multiply:

20x = 180

x = 180 / 20

x = 9 tilapia

[tex]8^{\frac{4}{3}} = \sqrt[3]{8^4} = \sqrt[3]{(2^3)^4} = \sqrt[3]{2^{3*4}} = 2^4 = 16[/tex]

Answer: C (16).

[tex]2\sqrt{6} - 6\sqrt{54} = 2\sqrt{6} - 2 * 3 * \sqrt{6} * \sqrt{9} = 2\sqrt{6}(1-3\sqrt{9}) = 2\sqrt{6}(1-3*3) = 2\sqrt{6}(1-9)=2*\sqrt{6}*(-8) = -16\sqrt{6}[/tex]

1.

[tex] \sqrt[3]{8^{4} } [/tex]

2.

[tex]2 \sqrt{6} - 6 \sqrt{54} \\ 2 \sqrt{6} - 6 \sqrt{9 \times 6} \\ 2 \sqrt{6} - 18 \sqrt{6} \\ - 16 \sqrt{6} [/tex]

Answer:2232

Step-by-step explanation:

Answer:

perimeter is 36 and area I think is 72

Step-by-step explanation:

Answer:

Step-by-step explanation:

I m sorry if i m wrong.

e no is 100% correct

Answer:

70

Step-by-step explanation:

Ok so we first add 4.75 and 5.25. 4.75+5.25=10. So 10 hours each day so 10 x 7 = 70. 70 hours in 7 days

Answer:

i would say it is either 30 or 35

Step-by-step explanation:

7/2=3.5

so you would round it down to 3 or keep it that

and 4.75+5.25=10

3(10)=30 and 3.5(10)=35

If it's every two days.

Answer:

15.5 meters

Step-by-step explanation:

Answer:

Mean = 3.5

Step-by-step explanation:

The given data is :

4.5,5, 3.5, 2, 2.5

We need to find the mean of the given data.

We know that,

Mean = sum of observations/total no. of observations

Here,

Total no. of observations = 5

Sum of observations = 4.5 + 5+ 3.5+ 2+ 2.5 = 17.5

Mean,

[tex]m=\dfrac{17.5}{5}\\\\m=3.5[/tex]

Hence, the mean of the data set is equal to 3.5.

Answer:

6 Packs

Step-by-step explanation:

Since he needs 46 cookies, he will have to buy 46/8 which is 5.75 packs. But since the packs are sold in whole, not fractions, he buys a ceil approximation of the packs which is 6, because if he buys 5, it will not be enough.

Answer:

25%------10500

100%------x = 100 * 10500 /25 = 42000

Rta: Tenías 42000

Answer:

g(x) = - x^2

Step-by-step explanation:

The negative sign flips the f(x) graph across the x-axis.

Answer:

The first guy is right

Step-by-step explanation:

Answer:

The height of the arch at its center is 250/9 or about 27.78 feet.

Step-by-step explanation:

We can write an equation to model the parabolic arch.

Let the left-most point of the arch be the origin (0, 0).

Since the bridge has a span of 100 feet, the right-most point must be (0, 100).

We can use the factored form of a quadratic:

[tex]y=a(x-p)(x-q)[/tex]

Where p and q are the x-intercepts.

Our x-intercepts are x = 0 and x = 100. Hence:

[tex]y=ax(x-100)[/tex]

At a point 40 feet from the center, the height of the arch is 10 feet.

The center is x = 50. So, a point 40 feet from the center can be either x = 10 or x = 90.

So, for instance, when x = 10, y = 10. Substitute and solve for a:

[tex]10=10a(10-100)[/tex]

So:

[tex]\displaystyle a=-\frac{1}{90}[/tex]

The same value will result if we let x = 90 and y = 10.

Hence, our equation is:

[tex]\displaystyle y=-\frac{1}{90}x(x-100)[/tex]

The height of the arch at its center will be when x = 50. Hence:

[tex]y(50)=\displaystyle -\frac{1}{90}(50)((50)-100)=\frac{250}{9}\approx 27.78\text{ feet}[/tex]

Answer:

(x+3)(x+2)

Step-by-step explanation:

f(x)=x²+5x+6=x²+2x+3x+6=x(x+2)+3(x+2)=(x+3)(x+2)

[tex] {x}^{2} + 5x + 6[/tex]

[tex] {x}^{2} + 2x + 3x + 6[/tex]

[tex]x(x + 2) + 3(x + 2)[/tex]

[tex](x + 3)(x + 2)[/tex]

Answer:

ADD ME ON FORtXVXVVXVXNIZZLE KE2DAEV12

Step-by-step explanation:

Answer:

Number 3

It's a cube

Step-by-step explanation:

Answer:

m∠WZX = 41°

Step-by-step explanation:

diagonals bisect angles and opposite angles are congruent

therefore, ∠WXY ≅ ∠WZY

∠WZY must equal [360 - 2(68)] ÷ 2 which equals 112°

If ∠WXZ = 71° then so does ∠XZY

Which means that ∠WZX must equal 112-71 which is 41°

===================================================

Explanation:

Refer to the diagram below. I've marked up the figure with various angles to point out the angles we'll be working with.

To make things a bit simpler in terms of notation, and to match up colors with variable letters, I'm going to use the following

Notice how the two red angles I've marked up are alternate interior angles. This works because WX is parallel to ZY. Also notice that the red and blue angles combine to form the angle WZY, which is adjacent to angle XYZ in green.

For any parallelogram, the adjacent angles always add to 180.

(angle WZY) + (angle XYZ) = 180

(blueAngle+redAngle) + (greenAngle) = 180

(B+R) + (G) = 180

(B+71) + (68) = 180

B+139 = 180

B = 180-139

B = 41

The blue angle is 41 degrees, which means angle WZX is 41 degrees

Side note: Your steps and answer to problem 11 are correct. Nice work.

Answer:

Nick's can travel 384 miles on a highway using a full tank of gas of his car

Step-by-step explanation:

Given

Fuel used by Nick's car = 12.5 gallon

In 12.5 gallon Nick can travel up to 240 miles

The gas tank of Nick's car can hold upto 20 gallons of fuel

With a full tank Nick can travel

[tex]\frac{240}{12.5} * 20 \\384[/tex]miles

Answer:

c) k/3 + 17 = 12

#JUST A TEXT

Answer:

5 faces 5 vertices 8 edges

Step-by-step explanation: i just finished it.

Answer:

This shape has  

✔ 5

faces.

This shape has  

✔ 5

vertices.

This shape has  

✔ 8

edges.

Step-by-step explanation:

Trust me on this, also can I have brainiest please?

Hope you do well! :D

I did the instruction, and I got it correct.

Answer:

23°

Step-by-step explanation:

157° = D

D + C = 180°

157 + C = 180

(group like terms)

C = 180 - 157

C= 23°

Answer:

She can make [tex]\frac{33}{12}[/tex] batches.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

We have that:

For each batch of pancakes, 1/3 cups of milk are needed. Now, she has 11/12 cups of milk, so how many batches can she make?

1 batch - 1/3 cups

x batches - 11/12 cups

Applying cross multiplication:

[tex]\frac{x}{3} = \frac{11}{12}[/tex]

[tex]12x = 33[/tex]

[tex]x = \frac{33}{12}[/tex]

She can make [tex]\frac{33}{12}[/tex] batches.

Answer:

hello

Step-by-step explanation:

hil

Answer:

The Answer Is Not Simmilar

Step-by-step explanation:

This is because you are not given all the info you need, and what you have, the triangle is not similar.

Answer:

The probability of choosing a ticket thats a multiple of 5 is 5/25

The probability of choosing a ticket thats a multiple of 6 is 4/25

Step-by-step explanation:

multiples of 6 are 6, 12, 18, and 24

multiples of 5 are 5, 10, 15, 20, and 25

The probability of choosing a ticket thats a multiple of 5 is 5/25

The probability of choosing a ticket thats a multiple of 6 is 4/25

Given:

The expression is:

[tex]\dfrac{2.1\times 10^6}{7\times 10^3}[/tex]

To find:

The simplified form of the given expression in standard form.

Solution:

We have,

[tex]\dfrac{2.1\times 10^6}{7\times 10^3}[/tex]

It can be written as:

[tex]\dfrac{2.1\times 10^6}{7\times 10^3}=\dfrac{21\times 10^5}{7\times 10^3}[/tex]

[tex]\dfrac{2.1\times 10^6}{7\times 10^3}=\dfrac{21}{7}\times \dfrac{10^5}{10^3}[/tex]

[tex]\dfrac{2.1\times 10^6}{7\times 10^3}=3\times 10^{5-3}[/tex]        [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]

[tex]\dfrac{2.1\times 10^6}{7\times 10^3}=3\times 10^2[/tex]

Therefore, the required value is [tex]3\times 10^2[/tex].

Answer: 18°

Step-by-step explanation:

Complementary angles are the angles that when we add them together, the value will equal 90°.

In this question, we've to add both angles and equate them to 90°. This will be:

(2x - 4) + (5x + 17) = 90

2x - 4 + 5x + 17 = 90

Collect like terms

2x + 5x = 90 + 4 - 17

7x = 77

x = 77/7

x = 11

Angle A will be:

= (2x-4)

= 2(11) - 4

= 22 - 4

= 18°