Answer:
rational
Step-by-step explanation:
Hello!
A rational number can be expressed as a ratio of two numbers in p/q form
A irration number cannot be expressed this way
5 1/25 is a rational number since it can be expressed as a ratio of two numbers which is 126/25.
Hope this helps!
[tex]\frac{51}{25}[/tex] is a rational number.
Rational numbers is a mathematical term that refers to the set of numbers that is expressed in a common fraction a / b. It can also be characterized because the denominator is not zero. For example
[tex]\frac{2}{8}[/tex], [tex]\frac{5}{10}[/tex], [tex]\frac{3}{9}[/tex]
On the other hand, irrational numbers are a set of numbers that cannot be expressed as a fraction. For example
π = 3.14159265358979323846…
According to the above, it can be inferred that the number [tex]\frac{51}{25}[/tex] is rational because it is expressed as a fraction.
Learn more in: https://brainly.com/question/17450097
Please solve Question 11 correctly..
Answer:
i) width = 3.75
length = 4.5
ii) 6.75m^2
iii) 78.75m^2
Step-by-step explanation:
11)
i) Bedroom 1
actual width = 2.5 × 1.5
= 3.75 m
actual length = 3 × 1.5
= 4.5m
ii) Kitchen
actual width = 1.5 × 1.5
= 2.25 m
actual length = 2 × 1.5
= 3 m
actual area = 2.25× 3
= 6 .75 m^2
iii) Apartment
actual width = 5 × 1.5
= 7.5 m
actual length = 7 × 1.5
= 10. 5 m
actual area = 7.5 * 10.5
= 78.75 m ^2
Harvey the wonder hamster can run 3\dfrac16 \text{ km}3 6 1 km3, start fraction, 1, divided by, 6, end fraction, start text, space, k, m, end text in \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction hour. Harvey runs at a constant rate.
Answer:
[tex]2\frac{8}{15}[/tex]
Step-by-step explanation:
The calculation of average speed in kilometres per hour is shown below:-
As we know that
[tex]Speed = \frac{Distance}{Time}[/tex]
So, the average speed is
[tex]= 3\frac{1}{6} \div 1\frac{1}{4}[/tex]
Now we will convert into a mixed number i.e
[tex]3\frac{1}{6} = \frac{19}{6} \\\\ 1\frac{1}{4} = \frac{5}{4}\\\\ = \frac{19}{6} \div\frac{5}{4}\\\\ = \frac{19}{6} \times \frac{4}{5}[/tex]
Now the cross cancel common factor is 2
So,
[tex]= \frac{19}{2}\times \frac{2}{5} \\\\ = \frac{38}{15} \\\\ = 2\frac{8}{15}[/tex]
hence, the average speed is [tex]2\frac{8}{15}[/tex] in kilometers per hour
Therefore we simply applied the above formulas to determine the average speed that comes in kilometers per hour
What is the range of the graph? A) (3, 5) B) [3, 5] C) (2, 5) D) [2, 5]
Answer:
B. [3, 5]
Step-by-step explanation:
The range of a graph are the y-values that are plotted on the vertical axis (y-axis). In order words, the range values, are the possible set of output values of that are plotted on the vertical axis on the graph.
"[ ]" is usually used to denote the possible set of values.
Therefore, the range of the given graph, as we can see from the y-axis, include values from 3 to 5. Therefore, the range of the graph is [3, 5].
write 0.18 repeating as a fraction in simplest form.
Answer:
180/1000 or 18/100 0.18
Step-by-step explanation:
The repeating decimal 0.18 to a fraction is 2/11
Converting the repeating decimal to a fraction.From the question, we have the following parameters that can be used in our computation:
Number = 0.18
Express as fraction
So, we have
Number = 18/100
Subtract 1 from the denominator
Number = 18/99
Simplify
Number = 2/11
Hence, the fraction is 2/11
Read more about fraction at
brainly.com/question/31896427
#SPJ6
Solve the equation
(If possible please show work)
Answer:
3 is right answer
Step-by-step explanation:
see in attached picture
hope it helped you:)
Jack brought 4 bagel for 3:00. How many bagel can he buy for 4:50. It is use ratio and rate
Answer:
6
Step-by-step explanation:
3/4 each
9/2 ÷ 3/4 = 6
OR
4 * 3/2 = 6
:D
Answer:
6 bagelsStep-by-step explanation:
[tex]4 \:bagels = 3.00\\x \:bagels = 4.50\\\\Cross\:Multiply\\\\3x = 4\times4.50\\\\3x = 18\\\\Divide\:both\:sides\:of\:the\:equation\:by\:3\\\frac{3x}{3} = \frac{18}{3} \\x = 6\\\\Answer = 6 \:bagels[/tex]
Given the points (–3,k)(–3,k) and (2,0)(2,0), for which values of k would the distance between the points be 34−−√34 ?
Answer:
The possible values of k are 3 and -3
Step-by-step explanation:
Given
Points: (-3,k) and (2,0)
Distance between them = √34
Required
Determine the value of k
The distance between two points is calculated as thus;
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Let
[tex](x_1,y_1) = (-3,k)[/tex]
[tex](x_2,y_2) = (2,0)[/tex]
Substitute these values in the given formula
[tex]Distance = \sqrt{(-3 - 2)^2 + (k - 0)^2}[/tex]
Evaluate the brackets
[tex]Distance = \sqrt{-5^2 + k^2}[/tex]
[tex]Distance = \sqrt{25 + k^2}[/tex]
Recall that Distance = √34
So; we have
[tex]\sqrt{34} = \sqrt{25 + k^2}[/tex]
Take square of both sides
[tex]34 = 25 + k^2[/tex]
Collect Like Terms
[tex]k^2 = 34 - 25[/tex]
[tex]k^2 = 9[/tex]
Take square root of both sides
[tex]k = \±3[/tex]
Hence, the possible values of k are 3 and -3
Express the final equation in standard form. Contains the point (-8, 5) and is parallel to the line x − 3y = 6
Answer:
x = 3y + 87
Step-by-step explanation: Hi! Ok, firstly, you know the slope, which is:
3y = x - 6
y = 1/3x - 2
Your slope is 1/3.
And you have the point (8,5). If you were to graph this, your y-intercept will be (0,29), because for every one you add to the y value, you add three to x. So, you have to add 8 to y, so 24 to x. 24 + 5 = 29.
Thus, y-intercept form is y = 1/3x + 29
Standard form will be: x = 3y + 87
NEED MATH HELP NOW. I WILL BRAINLIEST
Answer:
see below (I hope this helps!)
Step-by-step explanation:
To find the distance between two points, we can use the formula d = √(x₂ - x₁)² + (y₂ - y₁)² where d = distance and (x₁, y₁), (x₂, y₂) are the points. Therefore:
d = √(-6 - 2)² + (2 - (-6))²
= √(-4)² + (8)²
= √16 + 64
= √80 ≈ 8.944272
I need the answer ASAP !
Answer: A
Step-by-step explanation:
7[tex]\pi[/tex] pi is an irrational number and multiply it by 7 which is an rational number makes it irrational.
If M is the midpoint of segment AB and AM=9x-5 and MB=15-x, what is the length of AB?
Answer:
AB = 8x+10Step-by-step explanation:
If M is the midpoint of the segment AB, then AM+MB = AB. Given the following parameters;
AM=9x-5 and MB=15-x
Required parameter
segemnt AB
Substituting the given parameters into the given formula to get AB we will have;
AB = AM+MB
AB = 9x-5+15-x
collect like terms
AB = 9x-x-5+15
AB = 8x+10
Hence the length of segment AB is 8x+10
Solve for . Simplify your answer as much as possible. please help
Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
So we have the equation:
[tex]-34=7(x+8)+8x[/tex]
First, distribute the 7 into the (x+8) and simplify:
[tex]-34=7(x)+7(8)+8x\\-34=7x+56+8x[/tex]
Combine the like terms 7x and 8x by adding them together:
[tex]-34=56+15x[/tex]
Subtract 56 from both sides to isolate the x:
[tex]-34-56=15x+56-56\\15x=-90[/tex]
Divide both sides by 15 to get x:
[tex]x=-90/15=-6[/tex]
Write a word phrase that describes the algebraic expression 12m + 3.4 = 9
Answer:
Lola has 12 times m total cakes. Adrian has 3 and a quarter left of cake. If they add theirs together they get 9. What is the value of m?
Step-by-step explanation:
Lola has 12 times m total cakes. Adrian has 3 and a quarter left of cake. If they add theirs together they get 9. What is the value of m?
Answer: The sum of twelve times a number m and 3.4 is equal to 9.
Step-by-step explanation:
The givens are an algebraic expression 12m + 3.4 = 9. We need to put this in words.
So here is how we do it:
The sum of twelve times a number m and 3.4 is equal to 9.
OR you can say:
9 is equal to the sum of a number m twelve times and 3.4.
A large ice chest holds 62 liters of water. A smaller chest holds 4/5 as much water. How many liters of water does the smaller chest hold?
Answer:
49.6 liters
Step-by-step explanation:
Let the number of water that the smaller chest be x liters. If the smaller chest can hold 4/5 of the water that the large chest can hold, then:
The amount of water held by small chest (x) = 4/5 × amount of water that can be held by large chest
x = 4/5 × 62 liters = 49.6 liters
This means that the small chest can hold up to 49.6 liters of water
Smaller chest can hold 49.6 liters.
The smaller chest holds 4/5 the amount of water that the larger chest can hold which is 62 liters.
The amount the smaller chest can hold is therefore:
= Amount of water large chest can hold x proportion of large chest that small chest can hold
= 62 x 4/5
= 248/5
= 49.6 liters
The smaller chest can therefore hold 49.6 liters.
Find out more at https://brainly.com/question/17474612.
A large negative number is added to a small positive number. Which of the following statements is correct about the sum?
Answer:
its negative :)
Step-by-step explanation:
..........
Answer:
The sum will be negative
Step-by-step explanation: Negative+Negative=Positive//Positive+Positive=Positive//Positive+Negative=Negative//Negative+Positive=Negative
when 2 polinomials of same deegree has to be divided then what should be considered to fix the divident and diviser
Answer:
In order to find the remainder two polynomials of same degree are divided.
Step-by-step explanation:
Hope this will help you :)
Jada wanted to construct a line perpendicular to line L through point C. The diagram shows her construction. What was her mistake?
Answer:
Perpendicular lines are 90 degrees on their central angle.
Step-by-step explanation:
1. Draw the line L with a meter-rule and a pencil.
2. extend the hand of the protractor beyond the radius of the line and bisect the line L, by placing the protractor pin on both ends of the line and marking up and down.
3. Join the points where the markings meet drawing a line through C which is the center of the line L.
Factoring for GCF. Help please and thanks!
Answer:
Since there are no common factors, the only common factor is 1
(●'◡'●)
what is 0=r-1 ......
Answer:
the answer is1
Step-by-step explanation:
ok its actually simple
you add the 1 by moving it to the left of the 0 to get
1+0=r
you do the problem to get
1=r
so the answer is
1
Answer:
[tex]\huge \boxed{r=1}[/tex]
Step-by-step explanation:
[tex]0=r-1[/tex]
Adding 1 to both sides.
[tex]0+1=r-1+1[/tex]
[tex]1=r[/tex]
which is the graph of y =-x +2
Answer:
A
Step-by-step explanation:
The - in front of -x tells us that the line has to go down (slope -1), and the +2 tells us it will pass through (0,2).
Then you can see that only graph A fits that description.
Hello!
Answer:
A
Step-by-step explanation:
if x=0 => y=2
if x=1 => y=1
This is A graph!
The diagram is a straightedge and compass construction. C is the center of both circles.
Which of the following statements must be TRUE by construction?
Answer:
The correct option is;
AC and CD have the same length
Step-by-step explanation:
Given that the circle with center C, we have;
The length of AC extending from C to A being from the center to the circumference is the radial length of the smaller circle of center C.
Similarly, the length of the segment that extends from the center of the circle with center C to the circumference of the circle is the also the radial length of the smaller circle of center C.
Whereby the radial length of a circle is constant, then two radial lengths of the same circle are congruent and and circle radius AC is congruent to radius CD, which gives;
Length of AC = Length of CD or AC and CD have the same length.
Answer it answer it answer it
Answer:
B, C and D are not the correct way of finding the area of the square.
Step-by-step explanation:
A is the correct way of finding the area of the square because:
Area of the whole square - area of the unshaded square = the answer.
Answer:
add the
Step-by-step explanation:
Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form
Answer:
y-3= 2(x-1)
Step-by-step explanation:
1. The equation of a line in point slope form is y-y1= m(x-x1)
2. m=slope and (x1,y1) is the point the line passes through
3. The point the line passes through is (1,3)
4, The slope is 2
5. Therefore the answer is y-3=2(x-1)
Answer:
y-3=2(x-1)
Step-by-step explanation:
Point slope form is y-y1=m(x-x1)
Now we just need to plug in what you have into this equation.
y-3=2(x-1) and this is the point slope form for this line.
The sum of the angle measures of any triangle is 180 degrees. Angle 2 is twice the measure of angle 1. Angle 3 is 15 degrees less than the measure of angle 2. What is the measure of each angle?
Answer:
Angle 1 = 39, Angle 2 = 78 , Angle 3 = 63
Step-by-step explanation:
78/2 = 39
(Angle 2/2 = Angle 1)
78 - 15 = 63
(Angle 2 - 15 = Angle 3)
39 + 78 + 63 = 180
(Angle 1 + Angle 2 + Angle 3 = 180)
Answer:
39°, 78°, 63°
Step-by-step explanation:
let ∠ 1 = x, then
∠ 2 = 2x ( twice the measure of ∠ 1 )
∠ 3 = 2x - 15 ( 15° less than ∠ 2 )
Sum the 3 angles and equate to 180
x + 2x + 2x - 15 = 180, that is
5x - 15 = 180 ( add 15 to both sides )
5x = 195 ( divide both sides by 5 )
x = 39
Thus
∠ 1 = 39°
∠ 2 = 2 × 39° = 78°
∠ 3 = 78° - 15 = 63°
Which of the following quadratics is a Perfect Square Trinomial?
Answer:
[tex] 16x^2 + 8x +1[/tex]
Step-by-step explanation:
[tex] 16x^2 + 8x +1 = (4x+1)^2 [/tex]
Repeating decimal is ALWAYS an irrational number.
True
False
Find the area of triangle ABC. A. 14.45 units² B. 18.51 units² C. 13.76 units² D. 14.39 units²
Answer:
C. [tex] 13.76 units^2 [/tex]
Step-by-step explanation:
Given:
∆ABC,
m<A = 66.28°
m<B = 31.09°
AB = 7.6
BC = 7.01
Required:
Area of ∆ABC
SOLUTION:
Area = ½*AB*BC*sin(B)
[tex] Area = \frac{1}{2}*7.6*7.01*sin(31.09) [/tex]
[tex] Area = \frac{1}{2}*7.6*7.01*sin(31.09) [/tex]
[tex] Area = 13.76 units^2 [/tex]
if the sides of a square measure 10 square root 6 units then find the length of the diagonal
Answer:
20[tex]\sqrt{3}[/tex]
Step-by-step explanation:
The diagonal splits the square into 2 right triangles
Using Pythagoras' identity on one of the right triangles
With legs 10[tex]\sqrt{6}[/tex] and hypotenuse the diagonal d, then
d² = (10[tex]\sqrt{6}[/tex] )² + (10[tex]\sqrt{6}[/tex] )² = 600 + 600 = 1200 ( take square root of both sides )
d = [tex]\sqrt{1200}[/tex] = [tex]\sqrt{400(3)}[/tex] = [tex]\sqrt{400}[/tex] × [tex]\sqrt{3}[/tex] = 20[tex]\sqrt{3}[/tex]
If the sales tax on $150 is $7.50
Answer:
$157.50
Step-by-step explanation:
150
+7.50
______
157.50
8-2b = -2 find the solution to the equation
Answer: 5
Step-by-step explanation:
8-2b=-2
8-2b-8=-2-8
-2b=-10
-2b/-2=-10/-2
b=5