1. Which of the following is a rational number? (4 points)
197, 198, 199, 100
197
198
199
V100

1. Which Of The Following Is A Rational Number? (4 Points)197, 198, 199, 100 197 198 199 V100

Answers

Answer 1

Answer:

[tex]the \: rational \: number \: is \: \sqrt{100} [/tex]

Step-by-step explanation:

The reason why

[tex] \sqrt{97} [/tex]

isn't a rational number is because, when simplified, it results in 9.848857802.... its decimal doesn't terminate(stop).

The reason why

[tex] \sqrt{98} [/tex]

isn't a rational number is because, when simplified, it results in 9.899494937.... it's decimal doesn't terminate(stop).

The reason why

[tex] \sqrt{99} [/tex]

isn't a rational number is because, when simplified, it results in 9.949874371.... it's decimal doesn't terminate(stop).

The reason why

[tex] \sqrt{100} [/tex]

is a rational number is because, when simplified, it results in 10, its decimal terminates (stops).

Answer 2
100 is rational because can be expressed as the quotient of two integers

Related Questions

Triangle PQR has angles in the ratio of 2:3:5.
Which type of triangle is APOR?
1) acute
2) isosceles
3) obtuse
4) right
What is the answer???

Answers

Answer:(4) right angle

Step-by-step explanation:

you need to get 180 right solve it from there

The angle is 90degrees, hence the triangle PQR is right triangle

The sum of an interior angle of a triangle is 180 degrees. If the triangle PQR has angles in the ratio of 2:3:5.

Sum of the ratio = 2 + 3 + 5

Sum of the ratios = 10

For the ratio of m<P:

<P = 2/10 * 180

<P = 36 degrees

For the angle m<Q

m<Q = 3/10 * 180

m<Q = 54 degrees

For the angle R;

m<R = 5/10 * 180

m<R = 90 degrees

Since one of the angles is 90degrees, hence the triangle PQR is right triangle

Learn more on angles here: https://brainly.com/question/14362353

Leo placed a ladder against the back of his store building to paint a sign. The top of the ladder was 9 feet above the ground and the bottom of the ladder was 3 feet from the base of the building. What is the length, to the nearest tenth of a foot, of the ladder?

Answers

You’ll want to draw a triangle if you imagine the ladder leaning against the building it forms a right triangle with height “a” being the distance from the ground to the window, and the hypotenuse “c” being the length of the ladder. We want to solve for base “b” and the distance between the foot of the ladder and the building
Recall the Pythagorean theory
a^2 + b^2 = c^2
9.5 feet is the length of the ladder.

Robin has a piece of ribbon that is 4.5 meters long. She wants to cut it into pieces that are .05 meters long. How many pieces of ribbon can Robin make?

Answers

Answer: 9 pieces of ribbon

Explanation: 4.5 / 0.5 = 9
Answer : She can make 90 ribbons

Explanation: To solve this, you take 4.5m and divided by 0.05. It would give you 90 :)!

The graph shows the relationship between the amount of peanuts and the amount of chocolate in different packages of snack mix A.1/2 ounce B.2/3 ounce C.3/4 ounce D.3/2 ounce

Answers

Answer:

ever get answer et

Step-by-step explanation:

-3(10+4v)=-6(5-9v)

step-by-step pls

Answers

Answer:

0

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(10+4v)=−6(5−9v)

Step 1: Simplify both sides of the equation.

−3(10+4v)=−6(5−9v)

(−3)(10)+(−3)(4v)=(−6)(5)+(−6)(−9v)(Distribute)

−30+−12v=−30+54v

−12v−30=54v−30

Step 2: Subtract 54v from both sides.

−12v−30−54v=54v−30−54v

−66v−30=−30

Step 3: Add 30 to both sides.

−66v−30+30=−30+30

−66v=0

Step 4: Divide both sides by -66.

−66v

−66

=

0

−66

v=0

Answer:

omg im so sorry

Step-by-step explanation:

A medium artichoke contains about 14​% of the recommended amount of a certain mineral an average adult should have each day. About how many grams of the mineral should the average adult have each​ day?

Answers

Answer:

0.0238  g

Step-by-step explanation:

Given that:

the certain mineral = potassium and a medium artichoke contain about 0.17 g of it.

Suppose a medium artichoke contains about 14% of the recommended amount of a certain mineral.

On Average, the amount an adult should have each day = 0.17 g × (14/100)

= 0.0238  g

What is the relationship between two similar quadrilaterals and their areas?

Answers

Quadrilaterals with same length and breadth or height have same areas.

Step-by-step explanation:

You can prove this by drawing two quadrilaterals individually and then by calculating there areas.

t the ratio of the perimeters of similar figures is equal to their scale factor and that the ratio of their areas is equal to the square of their scale factor.

THE DOTS SHOWN REPRESENT WHAT KIND OF SEQUENCE?
D is for difference
R is for ratio
Arithmetic is Adding
Geometrical is Multiplying

Answers

The dots are getting bigger so i would say the third or last option.

How do you do this ? Need some help ASAP!

Answers

Answer:

On what

Step-by-step explanation:

In an xy-coordinate system, Line l has a slope of –3. If the points (2, 16) and (5, t) are on Line l, what is the value of t?

Answers

Answer:

25 i think

Step-by-step explanation:

Given f(x)=x^3+kx-4, and x-1 is a factor of f(x), then what is the value of k?

Answers

Answer:

3

Step-by-step explanation:

If x-1 is a factor, then x=1 is a solution. So:

0=1³+1k-4

1k=3

k=3 .........

For the given trinomial that has the factor (x -1), k = 1,

What is Polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given a trinomial equation:

f(x)=x^3+kx-4

And also given it has a factor (x - 1)

Thus, at x = 1 the value of the f(x) will be 0

So,

f(x) = x^3 + kx - 4

f(1) = 1^3 + k*1 - 4

0 = 1 + k -4

k = 3

therefore, The value of k = 1 for the given Trinomial that has  the factor (x -1)

Learn more about Polynomials here:

https://brainly.com/question/11536910

#SPJ2

Which is the solution to this system of equations?
x - 2y= 15
2x + 4y = -18

Answers

The answer to your problem is 3 and -6

Which fraction represents the ratio of the red portion of the circle to the
complete circle?

Answers

Answer:

can you add a picture of the circle?

Step-by-step explanation:

Write P(x) = x3 + x2 − 17x + 15 as a product of two factors, using x − 3 as one factor.

Answers

Answer: (x-3)(x-1)(x+5)

Step-by-step explanation: Factor this polynomial, to do that you use the rational roots theorem.

Answer: (x-1)(x-3)(x+5)

Step-by-step explanation:

Use the rational root theorem

Constant term = 15, Coefficient of leading term = 1

Factors of 15: 1, 3 , 5, 15

Factors of 1: 1

Therefore, (x-1) is a factor

[tex]\begin{array}{l}=\frac{\left(x-1\right)\frac{x^3+x^2-17x+15}{x-1}}{x-3}\\\\=\frac{\left(x-1\right)\left(x^2+2x-15\right)}{\left(x-3\right)}\\\\=\frac{\left(x-1\right)\left(x-3\right)\left(x+5\right)}{x-3}\\\\=\left(x-1\right)\left(x+5\right)\end{array}[/tex]

Cubic equations must have 3 factors to get to the third degree, therefore (x-1)(x-3)(x+5)

If you put $100 in a savings account with an interest rate of 2% per year and left the money in the account for five years, how much money would be in the account after five years?

Answers

Answer:

$510

Step-by-step explanation:

Formula for calculating money with simple interest: principle money × interest rate with 100% × period of time

Total amount of money = 100 × [tex]\frac{100+2}{100}[/tex] × 5

                                       = 510

2. Given f(x) = 2x + 3(x – 3), find x, if f(x) = 11.

please hurry

Answers

Answer:

Correct answer:

3

Step-by-step explanation:Using the defined function, f(a) will produce the same result when substituted for x:

f(a) =  a2 – 5

Setting this equal to 4, you can solve for a:

a2 – 5 = 4

a2 = 9

a = –3 or 3

Evan is making ham and cheese sandwiches for a party.
Each sandwich is made from 1 bread roll, 1 cheese slice and 1 ham slice.
He has bought bread rolls in packs of 9, cheese slices in packs of 6 and ham slices in packs of 8.
When Evan has finished making the sandwiches, there is nothing left in any of the packs.
What is the minimum number of packs of each ingredient that Evan could have bought?

Answers

Find the least common multiple.

List the multiples of each:

9, 18, 27, 36, 45, 54, 63, 72

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72

8, 16, 24, 32, 40, 48, 56, 64, 72

The least common multiple is 72

The number of packs of each would be:

Bread rolls: 72/9 = 8

Cheese = 72/6 = 12

Ham = 72/8 = 9

Solve for x!!! Help please this is urgent!!!

Answers

Answer:

46.6

Step-by-step explanation:

[tex]48^{2} - 20^{2} = 1904\\\sqrt{1904} = 43.6\\43.6 + 3 = 46.6[/tex]

Anyone here good at algebra? if so PLEASE HELP MEH ;-;

Answers

I’ll tell y’all 4 if did

Orange
A package of 15 party hats
costs $9.75. At this rate, what is the
cost of each party hat
in dollars and cents?

Answers

divide 9.75 by 15 equals sixty ixty five cent's

0.65 cents will be the cost of each party hat.

Can you please help me?!!!

Answers

Answer:

2 2/3

Step-by-step explanation:

Answer:

-7 1/3

Step-by-step explanation:

I already learned how to do that

5. The table below shows the participation in a school's debate club
during the last four years,
Year
1
2
3
4
Students
14
19
25
33
Between which two years did the club see the greatest growth?
By what percent did it grow? Round to the nearest whole number.
Q3-4
lol

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40/50

If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.

Answers

Answer:

Step-by-step explanation:

1

. Start by making a "let statement."

Let

x

represent the weight of the package.

2

. Create an algebraic expression.

5

7

x

=

40.5

i

pounds

3

. Isolate for

x

by dividing both sides by

5

7

.

5

7

x

÷

5

7

=

40.5

i

pounds

÷

5

7

4

. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.

5

7

x

7

5

=

40.5

i

pounds

7

5

5

. Solve for

x

.

5

7

7

5

x

=

40.5

7

5

i

pounds

x

=

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

56.7

i

pounds

a

a

−−−−−−−−−−−−−−−

please please help i’ll give brainliest tysm :)

Answers

Answer:

4,400

Step-by-step explanation:

Hope this helps!

What is the common difference for this arithmetic sequence?
45, 40, 35, 30, 25, ...

Answers

Answer:

It would not be a positive 5 but a -5 as your answer.

Step-by-step explanation:

45-5=40 and so forth

What is the value of n in the equation below 9n-24=4n+6

Answers

Answer:

6 (I believe so)

Step-by-step explanation:

9n-24=4n+6

9n=4n+30

5n=30

n=6

Answer:

n=6

Step-by-step explanation:

9n - 24 = 4n + 6

-4n          -4n

5n - 24 = 6

     +24    +24

5n = 30

divide both sides by 5

n = 6

hope this helps!!!

Help me pls ASAP thank you

Answers

The answer is A. X> -6 because the arrow shows which way the line is going

What kind of triangle is this?

Answers

Right angle
Te reason being is that it has a 90° corner.

Hoped this helped

Answer:   acute

Step-by-step explanation: its not right cuz there a 90 degree angle and it isnt obtuse

Solve each of these equations.
3y - 4= 6 - 2y
a.y=5
b.y = -2
c. y = 10
d. y = 2

Help please !!

Answers

Answer:

easy the answer is d)y=2

Step-by-step explanation:

why because

3y−4=6−2y

Add 2y to both sides.

3y−4+2y=−2y+6+2y

5y−4=6

Add 4 to both sides.

5y−4+4=6+4

5y=10

Divide both sides by 5.

5y/5 = 10/5

y=2

Solve for n.
- 24 -6n= -42

Answers

Answer:

n=3

Step-by-step explanation:

Answer:

n=3

Step-by-step explanation:

-24 -6n = -42

+24 (move to other side)

-42 + 24 = -18

-6n = -18

to move the -6 to the other side you divide

-18 divided by -6 is 3

n=3

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