Which number is rational ?

Answer:

6/7 is a rational number.

Answer:

ten thousands place

Step-by-step explanation:

10,000 × 10 = 100,000

Answer:

[tex]3x + 2y = 6 \\ 6 - 3x = 2y \\ y = \frac{6 - 3x}{2} \\ \\ thank \: you[/tex]

Answer:

hdhdhdhdhd

Step-by-step explanation:

hhffhffjfj

Answer:

r≈3.95

Step-by-step explanation:

Using the formula

A=πr^2

Solving for r

r=A

π=49

π≈3.94933

Answer:

The relation between the same side interior angles is determined by the same side interior angles theorem the theorem for the same side interior angle theorem states. if a transversal intersects two parallel lines , each pair of same side interior angles are supplementary ( their sum is 180 degree

The question seems to be incomplete. I assume that we have the equation of a sphere, and we want to define equations of the intersection between that sphere and some given planes.

A general sphere of radius R centered at the point (a, b, c) is written as:

(x - a)^2 + (y - b)^2 + (z - c)^2 = R^2

Each of the planes will have a fixed value, to find the intersection, we just need to "fix" that fixed value in the equation above.

a) Intersection with xy-plane

The xy-plane has a z-value of 0 (the x and y values are free) so to write the intersection we only need to fixate z = 0.

Using the general sphere we get:

(x - a)^2 + (y - b)^2 + (0 - c)^2 = R^2

(x - a)^2 + (y - b)^2 + c^2 = R^2

(x - a)^2 + (y - b)^2 = R^2 -  c^2

This is a circle, centered at (a, b) in the xy-plane, and with a radius of:

√(R^2 - c^2)

Similarly:

b) intersection with xz-plane

Here we have y = 0, then the equation becomes:

(x - a)^2 + (0 - b)^2 + (z - c)^2 = R^2

(x - a)^2 +  b^2 + (z - c)^2 = R^2

(x - a)^2  + (z - c)^2 = R^2 - b^2

c) intersection with yz-plane

Here we have x = 0

(0 - a)^2 + (y - b)^2 + (z - c)^2 = R^2

a^2 + (y - b)^2 + (z - c)^2 = R^2

(y - b)^2 + (z - c)^2 = R^2 - a^2

Finally, in which cases we would write DNE?

Only if the expression at the right (the radius of the circle) are smaller than zero.

For example, if R^2 - a^2 < 0, then the sphere does not intersect the yz-plane.

If you want to learn more you can read:

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Answer:

Step-by-step explanation:

Keep in mind we read graphs from left to right just like how we read and write.

We can use those tips to solve the problem.

Option A:

4/5 is a positive slope so it will rise from left to right.

Option B:

No slope automatically means "undefined" so that falls in the definition of a vertical line.

Option C:

A slope of 0 is defined as a horizontal line.

Option D:

-4/5 is a negative slope so it will fall from left to right.

Best of Luck!

[tex]3\sqrt{578}-\sqrt{162}+4\sqrt{32}=\\\\=3\sqrt{289\cdot2}-\sqrt{81\cdot2}+4\sqrt{16\cdot2}=\\\\=3\sqrt{17^2\cdot2}-\sqrt{9^2\cdot2}+4\sqrt{4^2\cdot2}=\\\\=3\cdot17\sqrt2-9\sqrt2+4\cdot4\sqrt2=\\\\=51\sqrt2-9\sqrt2+16\sqrt2=51\sqrt2+7\sqrt2=\boxed{58\sqrt2}[/tex]

The number of games he can play 48 bowling

"It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.

Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.

Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.

Given:

Total money = $225.00

Cost of one ball =$55

So, remaining money after buying the ball

=225- 55

= $170

Now,

game of bowling costs $3.50,

So, number of bowling can be played is

=170/3.5

=48.75

= 48 bowling

Learn more about Unitary method here:

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Answer:

X=2

Step-by-step explanation:

3 multiplied by 2= 6

6+4=10

Answer:

$259.4

Step-by-step explanation:

$4150/2

$2075/2

$1037.5/2

$518.75/2= $259.375

round to nearest cent = $259.4

The balance we have after four months is $259.4.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

You have $4150.in a cookie jar

Each month you spend half of the balance

Now,

Spent in 1 month=4150/2

=2075

Spent in 2 month=2075/2

=1037.5

Spent in 3 months=1037.5/2

=518.75

Spent in 4 months=518.75/2

=259.375

Therefore, answer of this algebra will be $259.4;

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Answer:

Both lines have the same slope.

Step-by-step explanation:

- If two lines are parallel, they have the same slope. To prove that these, lines are parallel, we have to first find out the slope between points.

y2 - y1 / x2 - x1

-3 - (-1) / 4 - 8

-2/-4

= 1/2

y2 - y1 / x2 - x1

3 - (-1) /2 - (-6)

4/8

= 1/2

Both the lines have the same slope meaning they are parallel.

Answer:

Step-by-step explanation:

413

Answer:

Hi, There!

B. 25

Step-by-step explanation:

Have a great Day!

Answer:

[tex]\boxed {\boxed {\sf ( - \frac{9}{2}, -1) \ or \ (-4.5, -1) }}[/tex]

Step-by-step explanation:

We are asked to find the midpoint of a line segment. When you find the midpoint, you essentially find the average of the x-coordinates and the y-coordinates. The midpoint formula is:

[tex](\frac {x_2+x_1)}{2}, \frac{y_2+y_1}{2})[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the endpoints of the line segment. we are given the endpoints R (-6, 1) and S (-3, -3). If we match the value and the corresponding variable we see that:

Substitute the values into the formula.

[tex]( \frac{-3 + -6}{2} , \frac{ 1+ -3}{2} )[/tex]

Solve the numerators.

[tex](\frac {-9}{2}, \frac {-2}{2})[/tex]

Divide.

[tex]( - \frac {9}{2}, -1})[/tex]

The fraction can also be written as a decimal.

[tex](-4.5 , -1)[/tex]

The midpoint of the line segment RS is (-9/2, -1) or (-4.5, -1).

Answer:

Can we fit together three congruent pyramids or cones to form ... Encourage students to construct arguments as to why a prism can be constructed using the .

Step-by-step explanation:

Answer:

A. x≤2; B. wrong unequality after dividing by negative number.

Step-by-step explanation:

9x-18x≥ -18;

-9x≥ -18;

0≥ -18+9x;

18≥9x;

9x≤18;

x≤2.

Answer:

The net worth does not change.

Step-by-step explanation:

Net worth is the sum of all of your assets minus the liabilities.

If you start off with 2,500 in your savings account, then you use the money to buy a car the net worth does not change. You started with a net worth of 2,500 because money in your savings account in considered an asset. You then use that money to buy a car which is an asset, and the car contributes to your net worth.

Answer:

no, he is not correct

Step-by-step explanation:

His last two conversion fractions are reversed. He should have 1hr/60min and 1min/60s.

Answer:

26.13

Step-by-step explanation:

to find the area of a circle, it's pi*r squared:

pi*3squared=9pi

it's a semi-circle so you divide it by two=4.5pi

they are telling us to use 3.14 instead of pi, so it would be:

4.5*3.14=14.13

now we find the area of the triangle. And we use the formula, (height*base)/2:

6*4/2=12

now we add the sums together, which is:

12+14.13=26.13

Answer :

[tex] \boxed{ \boxed{ \: \: 14 \: \: units \: \: }}[/tex]

Lets find f(n) formula

[tex]\boxed{\sf f(n)=\dfrac{1680}{n}}[/tex]

Now

[tex]\\ \sf\longmapsto f(10)=\dfrac{1680}{10}=168[/tex]

[tex]\\ \sf\longmapsto f(12)=\dfrac{1680}{12}=140[/tex]

[tex]\\ \sf\longmapsto f(16)=\dfrac{1680}{16}=105[/tex]

[tex]\\ \sf\longmapsto f(14)=\dfrac{1680}{14}=120[/tex]

Answer:

x+y=4

Step-by-step explanation:

2x+2y=8

By taking out 2 from 2x+2y as common terms, we get

2(x+y)=8

Now, by dividing both sides by 2, we get

2(x+y)/2=8)2

x+y=4

Answer:

350-315=35

(35÷350)×100

=10%

Answer:

10%

Step-by-step explanation:

I subtracted the number of total students by the ones that went on the field trip.

350 - 315 = 35

35 students did not go on the field trip.

We can turn this into a fraction:

[tex]\frac{35}{350}[/tex]

[tex]\frac{35}{350}[/tex] = [tex]\frac{1}{10}[/tex]

[tex]\frac{1}{10}[/tex] = 10%

10% of students did not go on the class field trip.

Answer:

Woah you're sounding like a teacher, calm down.

Anyways let's answer this...

Step-by-step explanation:

It's going to be in the order:

Decimal, fraction, percentage.

0.2, 1/5, 20%

0.8, 4/5, 80%

0.5, 1/2, 50%

0.75, 3/4, 75%

0.3, 3/10, 30%

0.6, 3/5, 60%

You see the correlation?

If u want me to explain, hmu

hope this helps :)

Step-by-step explanation:

please subscribe to my mom channel please

Answer: 4,862 students will attend the college in the next four years

Step-by-step explanation: If the college starts out with 4,000 students you need to find 5% of 4,000. To do this you would multiply 4,000 by 0.05, you should get 200. So 5% of 4,000 is 200 so the next year there will be 200 more students then last year meaning the next year will have 4,200 student. So now you'll repeat the same step multiply the number of students (now 4,200) by 0.05, then add the answer to the number of students from the previous year. So year two is:

4,200x0.05=210

4,200+210=4,410

repeat these steps till you have four years worth.

Answer:

It is -80

Step-by-step explanation:

u just subtract