Step-by-step explanation:
(I) A number which can be expressed in the form m/n, where m and n are integers and n is not equal to zero, is called a Rational Number .
(ii) If the integers m and n have no common divisor other than 1 and n is positive, then the rational number m/n is said to be in the Simplest form .
(iii) Two rational numbers are said to be equal, if they have the same Simplest form .
(iv) If m is a common divisor of x and y, then x/y = (x ÷ k)/( y ÷ k) .
(v) The standard form of -1 is -1/1
(vi) If m/n is a rational number, then n cannot be 0
(vii) Two rational numbers with different numerators are equal, if their numerators are in the same ratio as their denominators.
There are 2.54 centimeters in 1 inch. there are 100 centimeters in 1 meter
To the nearest inch, how many inches are in 19 meters?
Answer:
x = 748 inches
Step-by-step explanation:
.0254 meters in 1 inch
set up a proportion:
.0254/1 = 19/x
cross-multiply:
.0254x = 19
x = 19/.0254
x = 748.03
hi i need help with this photo file related to ratios, if you could help me with this that would mean alot, thankyou
Answer
4.5 : 0.24 = 1.5 :0.08 [dividing by 3]
help what is the quadratic equation because I think I did it wrong
Answer:
Exact form:
[tex]x=\sqrt{17} +3,-\sqrt{17} +3[/tex]
Step-by-step explanation:
Take the root of both sides and solve.
In triangle DEF, find the missing side as an exact value:
Answer:
8.60
Step-by-step explanation:
the diagram is optically misleading.
how can the 5 side be longer than the 7 side ?
but ignore that.
the important thing is that this is a triangle with a 90 degree angle.
so, we use Pythagoras' formula : a^2 + b^2 = c^2
we know a and b as 7 and 5.
so, the equation is 7^2 + 5^2 = c^2
=> 49 + 25 = c^2
=> 74 = c^2
=> the missing side length c is
[tex] \sqrt{74} = 8.60[/tex]
PLSSS HELPPP
aMath
What helps find the volume of the figure?
6 X 6 X 7
8 x 6 x 6
6 X 7 X 8
6 X 6 X 7 X 8
tool
1050313
The volume of the rectangular prism can be found using the 6x6x7 option (A) 6x6x7 is correct.
What is a rectangular prism?It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape. It is also called a cuboid.
It is given that:
A rectangular prism is given in the picture with dimensions:
As we know, volume can be defined as a three-dimensional space enclosed by an object or thing.
The volume of the rectangular prism is given by:
V = L×W×H
Here, V is the volume of the rectangular prism
L is the length of the rectangular prism
W is the width of the rectangular prism
H is the height of the rectangular prism
From the figure:
L = 6 cm
W = 7 cm
H = 6 cm
V = 6x7x6
or
V = 6x6x7
Thus, the volume of the rectangular prism can be found using the 6x6x7 option (A) 6x6x7 is correct.
Learn more about the rectangular prism here:
brainly.com/question/21308574
#SPJ5
Which number is the numerator in the fraction 1/2
Answer:
1
Step-by-step explanation:
The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.
[tex]\frac{Numerator}{Denominator}[/tex]
Answer:
The numerator is 1.
Step-by-step explanation:
The numerator is the number above the fraction bar; the denominator is below.
[tex]\frac{denominator}{numerator} -\frac{1}{2}[/tex]
Problems 1-2, which symbol should be used to make the values true; > or
Answer:
1. <
2. <
Step-by-step explanation:
Have a good day :)
The label for area will always be the units
(feet, centimeters, inches, etc) squared.
Which labels below represent units
squared? Choose all that apply!
cm
mm2
in2
be
mi
ft2
PLEASE HELP
is 4 a factor of 93 explain in words
IM MAKING THE POINTS HIGH
No 4 is not a factor of 93 :)
let me know if this helped<3
Explanation: a factor is whether or not a number can be multiplied with another number, 4 cannot be multiplied by any number to evenly come out as 93, the way you can check this is by dividing 93 by 4, if it comes out as a whole number with no decimal or remainder than the number is a factor if it has a decimal or remainder it is not a factor
Answer:
No.
Step-by-step explanation:
The first method entails simply listing all factors of 93 and then seeing if 4 is one of them. The factors of 93 are 1, 3, 31, and 93. Looking at the list, you see that 4 is not on the list, and the answer to "is 4 a factor of 93?" is therefore no. For the second and perhaps easier method, we divide 93 by 4 to see if the quotient is a whole number or fractional number. If the quotient is a whole number, then 4 is a factor of 93. If the quotient is a fractional number, then 4 is not a factor of 93. 93 divided by 4 is 23.25 which is a fractional number. Thus, once again, the answer to "Is 4 a factor of 93?" is no.
Plz help solve this please and thx u
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is
the solution set of this problem?
(-0, -21)
(-00,-21]
[-21, +00)
(21, +00)
Answer:
let the number be x
5(x+27)>6(x+26)
5x+135>6x+156
5x-6x>135-156
-x>-21
×<21
(21,+00)
For each part below, use the figure to fill in the blank.
If necessary, you may learn what the markings on a figure indicate.
(a) Find mZF
(b) Find AB
с
D
60°
4
60
100
60°
m 2F = 0
AB = 0
Continue
© 2021M
Answer:
40
4
Step-by-step explanation:
a.) because the sides are the same their angles must be too
let x be the angle
100+x+x=180
x=40
b.) because the angles are all the same their sides must be too
4
A poll of 250 students found they studied an average of 48 minutes each evening with a standard deviation of 8.4 minutes. Using a 90% confidence interval, what is the maximum error of estimate for the time spent studying?
Answer:
hope this helps
Step-by-step explanation:
At birth, the rhino weighed 85 pounds. The rhino gained the same amount of pounds each month for 6 months. After 6 months, the rhino weighed 493 pounds. How much weight did it gain each month?
Answer:
68 pounds a month
Step-by-step explanation:
so what i did is subtract 85 because that was the starting weight, now we have 408 I divided 6 (how many months) and got 68.
PLEASE HEKO ME I BEG YOUU NEED ASAP
Answer:
the shape would be a triangle
Step-by-step explanation:
any horizontal slice would create a triangle
If a car drove 180 miles in 3 hours and a truck drove 150 miles in 2 hours, what is the speed (in miles per hour) of the faster vehicle?
Step-by-step explanation:
Divide 180 by 3 = 60
Divide 150 by 2 = 75
The faster vehicle is truck and its speed is 75 mph
) () = 2 − 6 + 13 Translate f(x) 7 units to the left and down 5 units. Write your new function in vertex form
Answer:
[tex]y= (x -4)^2 - 1[/tex]
[tex]Vertex = (4,-1)[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2 + 6x+13[/tex]
Required
7 units left and 5 units down
First, we have: [7 units left]
The rule is:
[tex](x,y) \to (x-7,y)[/tex]
So, we have:
[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]
Next, we have: [5 units down]
The rule is:
[tex](x,y) \to (x,y-5)[/tex]
So, we have:
[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]
[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]
Rewrite as:
[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]
Expand
[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]
Collect like terms
[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]
[tex]y = x^2 -8x +15[/tex]
To write in vertex form, we have
Subtract 15 from both sides
[tex]y -15= x^2 -8x[/tex]
Divide (-8) by 2; Add the square to both sides
[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]
[tex]y -15+ 16= x^2 -8x + 16[/tex]
[tex]y +1= x^2 -8x + 16[/tex]
Expand
[tex]y +1= x^2 -4x - 4x + 16[/tex]
Factorize
[tex]y +1= x(x -4) -4(x - 4)[/tex]
Factor out x - 4
[tex]y +1= (x -4)(x - 4)[/tex]
Rewrite as:
[tex]y +1= (x -4)^2[/tex]
Make y the subject
[tex]y= (x -4)^2 - 1[/tex]
The vertex is:
[tex]Vertex = (4,-1)[/tex]
Find the lateral and total for the cone below. leave the answer in terms of pie.
Answer:
35×24 = 840in²Step-by-step explanation:
height=35 in.base = 24in.then multiply
What is the equation of the following line? Be sure to scroll down first to see all answer options. (0, 0) (3,-9)
Answer:
Equation to find the slope
[tex]\frac{y2-y1}{x2-x1} =\frac{-9-0}{3-0} = -9/3 = -3x[/tex]
y=-3x
hope that answers your question
Step-by-step explanation:
Answer: C. y = -3x
Step-by-step explanation:
Since the line runs through the origin (0, 0), we don't have to write a y-intercept. To calculate the slope, we determine the change in y value over the change in x value.
Looking at the graph, we see that for every +1 x, we have -3 y, so the slope is -3, which we multiply by x in the equation.
Is this a polygon or trapezoid? A. Yes B. No
Answer:
No
Step-by-step explanation:
Look at the shape a polygon is 5 sides while a trapezoid has only 4 sides
Answer:
No. :) Reason: Trapezoids have to have at least on pair of parallel lines; this polygon has none.
A loading ramp is extended from the back of a truck to form a 30° angle with the ground. The truck and the ramp are both on level ground. If the length of the ramp is x feet, how high is the back of the truck from the ground?
A) 2x feet
B) x√3/2
C) x√3
D) x/2
Answer:
Height between ground and truck = 5.5 feet
Step-by-step explanation:
Given:
Angle of elevation = 30°
Length of the ramp = 11 feet
Find:
Height between ground and truck
Computation:
Length of the ramp = Hypotenuse
Height between ground and truck = Perpendicular
Sin θ = Perpendicular / Hypotenuse
Sin 30 = Height between ground and truck / Length of the ramp
0.5 = Height between ground and truck / 11
Height between ground and truck = 0.5 x 11
Height between ground and truck = 5.5 feet
hi guys
I need 3 minus and plus operations with answer thx!
1999+1001=3000 1091+1009=3000 2000+1000=3000
3000-1001=1999 3000-1009=1091 3000-2000=1000
Cylinder X and Cylinder Y are similar. The volume of Cylinder Y is 89 in. Find the volume of
Cylinder X
4 cm
!!
22 cm
Cylinder X
Cylinder Y
O A. 45 cm
OB.
712 cm3
O C.
178 cm3
Answer:
Volume of Cylinder X = 712 cm³
Step-by-step explanation:
Given:
Volume of Cylinder Y = 89 cm³
Radius of cylinder Y = 2 cm
Radius of cylinder X = 4 cm
Find:
Volume of Cylinder X
Computation:
We know that, Cylinder X and Cylinder Y are similar
So,
Volume of Cylinder X / Volume of Cylinder Y = [Radius of cylinder X / Radius of cylinder Y]³
Volume of Cylinder X / 89 = [4/2]³
Volume of Cylinder X / 89 = [2]³
Volume of Cylinder X / 89 = 8
Volume of Cylinder X = 8 x 89
Volume of Cylinder X = 712 cm³
Gina can trade empty bottles for money at the grocery store. She returned a few bottles worth $0.10 each and 6 bottles worth $0.05 each . The clerk paid Gina $0.80 for all of the bottles . How many bottles worth $0.10 did Gina return?
Answer:
5 bottles
Step-by-step explanation:
a total of $0.80 was paid
6 $0.05 bottles were returned= $0.05×6= $0.30
remainder= $0.80-$0.30= $0.50
amount of $0.10 bottles returned= $0.50÷$0.10= 5
15 On Saturday, Luisa paints for 2 hours.
On Sunday, she paints for 40 minutes.
How many minutes does Luisa paint
for in total on these two days?
Answer:
160 minutes
Step-by-step explanation:
Find out how many minutes are in a hour. 60 min in one hour. 60 x 2 = 120
120 + 40 = 160
4) Number of rational numbers between – 3 and – 4 are _______ *
1 point
Uncountable
4
2
3
Answer:
uncountable
Step-by-step explanation:
----------------uncountable-----------------
WILL GIVE BRAINLIEST *NO LINKS*
Answer:46%
Step-by-step explanation:
Answer:
23/50 or 46%
Step-by-step explanation:
I just added red and purple out of the total(red+purple/total=11+12/50=23/50)
then I multiplied the fraction by 2 to get out of 100 for the percentage(23/50*2=46/100=46%)
Given the equation: y = 3 (2x - 1) Complete the table of values. y - 1 0 9
Answer:
Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.
Step-by-step explanation:
1
1) Hannah wants the area of her dog's rectangular play area to be 300 square feet. If one side of
the rectangle needs to be 12 feet long, how long will the other sides be?
300 sq ft
22 ft
I need help
Answer:
#1Rectangle area:
A = lwGiven:
l = 12 ft, A = 300 ft²Find w:
12w = 300w = 300/12w = 25 ft#2Perimeter is the sum of side lengths:
P = 2 1/4 + 5 2/5 + 5 17/20 =
2 + 5 + 5 + 1/4 + 2/5 + 17/20 =
12 + 5/20 + 8/20 + 17/20 =
12 + 30/20 =
12 + 1.5 =
13.5 ft
#3Cost of a shirt = $19.99Number of shirts = 6Total cost:
$19.99*6 = $119.944. The Monster is a roller coaster that uses a design
similar to the Ravine Flyer II. The Monster reaches
a height of 120 feet, but then drops to -25 feet.
Order the highest and lowest points of the two
roller coasters from least to greatest.
Answer:
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Step-by-step explanation:dsadsdasz