Given:
The decimal number is 15.265.
To find:
The decimals in the form of [tex]\dfrac{p}{q}[/tex] and p,q are co-primes.
Solution:
Let the decimal number be [tex]x=15.265[/tex].
It can be rewritten as
[tex]x=15.265\times \dfrac{1000}{1000}[/tex]
[tex]x=\dfrac{15265}{1000}[/tex]
[tex]x=\dfrac{5\times 3053}{5\times 200}[/tex]
Cancel out the common factors.
[tex]x=\dfrac{3053}{200}[/tex]
Here, p=3053 and q=200 and the HCF of (p,q) is 1. So, p and q are co-primes.
Therefore, the requited fraction form is [tex]\dfrac{3053}{200}[/tex].
The height of a doorway is 7 yards. What is the height of the doorway in inches?
The height of the doorway is ____ inches.
Teddy is writing a proof about the figure shown on the coordinate plane below. He wants to show that quadrilateral WXYZ is a parallelogram.
Which statement proves that WXYZ is a parallelogram?
A. Show that segments WX and YZ have equal slopes.
B. Show that segments WX and YZ have equal lengths.
C. Show that the midpoints of segments WY and XZ are the same point.
D. Show that segments WX and XY have slopes that are opposite reciprocals of each other.
The statements are -
A. Show that segments WX and YZ have equal slopes.
B. Show that segments WX and YZ have equal lengths.
C. Show that the midpoints of segments WY and XZ are the same point.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that Teddy is writing a proof about the figure shown on the coordinate plane below. He wants to show that quadrilateral WXYZ is a parallelogram.
The statements that prove WXYZ as a parallelogram are -
A. Show that segments WX and YZ have equal slopes.
B. Show that segments WX and YZ have equal lengths.
C. Show that the midpoints of segments WY and XZ are the same point.
Therefore, the statements are -
A. Show that segments WX and YZ have equal slopes.
B. Show that segments WX and YZ have equal lengths.
C. Show that the midpoints of segments WY and XZ are the same point.
To solve more questions on algebraic expressions, visit the link below-
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Kevin received 1105 marbles. Kevin would like to give each of his friends some marbles. If Kevin has 12 friends, how many marbles would each person, including Kevin, receive?
Answer:
85 for each person including kevin
How many kilograms of chocolate will each person get if 4 people share 13 of a kilogram of chocolate equally?
Step-by-step explanation:
hope it helps
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A bottle contains 500 ml of orange juice. Write an expression for EACH of the following.
The amount of juice left in the bottle after pouring out
(i) p ml.
(ii) q glasses each containing r ml
Answer:
1. 500-p
2. qr=500
(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]
Amount of juice left in the bottle after pouring out [tex]q[/tex] glasses each containing [tex]r[/tex] [tex]ml[/tex] [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]
An algebraic expression refers to a combination of symbols, numbers, variables, and arithmetic operations.
Volume of bottle of orange juice [tex]\boldsymbol{\boldsymbol{=500\,ml}}[/tex]
(i) Amount of juice left in the bottle after pouring out [tex]p\,ml\boldsymbol{=(500-p)\,ml}[/tex]
(ii) Amount of juice contained in [tex]q[/tex] glasses [tex]=(qr)\,ml[/tex]
So,
Amount of juice left in the bottle after pouring out [tex]qr\,\,ml[/tex] of juice [tex]\boldsymbol{=(500-qr)\,\,ml}[/tex]
For more information:
https://brainly.com/question/11227332?referrer=searchResults
Bella went to Yard Depot multiple times. Each time she was there, Bella bought a gardening hat and y pairs of gardening gloves. The expression shown below represents the total amount of money, in dollars, Bella spent at Yard Depot. a(by + c) C. Explain what a, b, and c each mean in terms of the situation.
Answer:
a is how many times bella went 2 yard depot
b is how many gardening gloves she bought
c is how many gardening hats she bought
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Use the definitions and theorems of this section to evaluate and simplify the following expression. Be sure to express answers with positive exponents.
(b^4)2
Answer:
[tex](b^4)^2 = b^{8}[/tex]
Step-by-step explanation:
Given
[tex](b^4)^2[/tex]
Required
Simplify
In indices, we have:
[tex](a^m)^n = a^{m*n[/tex]
So:
[tex](b^4)^2 = b^{4*2}[/tex]
[tex](b^4)^2 = b^{8}[/tex]
Pedro placed an order with an online nursery for
6 apple trees and 5 azaleas and the order came to
$147. The next order for 3 apple trees and 4 azaleas
came to $96. What was the unit cost for each
apple tree and for each azalea?
Hope this helps! I really need points to ask a question , so I'm just answering people who need help
There are 5 4/5 cups of milk left in a carton. Write 5 4/5 as an improper fraction. Explain what the fraction represents in this situation.
Answer:
29/5
Step-by-step explanation:
multiple 5 times 5 to get 25 then at the 4 to get 29.
there are 29/5th cups of milk
A piece of machinery was purchased by a factory. It depreciates at 10percent every year. At the end of second year its value is rs 1,29,600.What is the cost price
Answer:
160000
Step-by-step explanation:
Let the cost price = x
At the end of the first price, it loses ten percent = 0.9x
At the end of the second year, it loses an extra ten = 0.9(0.9x)= 0.81x
0.81x=129600
x=160000
9 - x < -11 lololol help
Answer:
Hey! Your answer is , x >20
Step-by-step explanation:
Hope this helps! :)
Have a nice day!
find the slope of (-20, -9), (-6,0)
Step-by-step explanation:
use the formula to calculate slope
how many cubes with a .25 inch side length will fit in a rectangular prism with a volume of 35.62
Answer:
142.48
Step-by-step explanation:
this i think is the answer
The perimeter of a rectangle is 61 centimeters. The length is 4 centimeters longer than the width, w. Which equation can be used to find the width of this rectangle?
A= 2w + 2(w +4) = 61
B= 1/2w + 2 (w+4) =61
C=2w + 1/2 (w +4) =61
D= 1/2 w + 1/2 (w +4) =61
Answer:
A
Step-by-step explanation:
P=2L+2w
P=61
W=W
Since length is 4cm longer
Therefore length=W+4
General equation=2w+2(w+4)=61
What is the square root of 7.29 ?
Answer:
2.7
Step-by-step explanation:
Answer:
2.7
Step-by-step explanation:
El área cuadrada de un tablero de ajedrez mide 1681 cm².¿Cuál es la medida de cada uno de sus lados?
Los lados es = sqrt(1681)
=41cm
which of the following could not be the lengths of the sides of a triangle
Answer:
option A is correct answer .
Step-by-step explanation:
a triangle cannot be formed with the sides 8,5 and 15.
5+8 = 13 is not greater than 15.
plz mark my answer as brainlist if you find it useful.☺️
Pleasee help wit this
Answer:
Step-by-step explanation:
f(-9)=2(-9)²+5(-9)+20
= 162-45+20
= 137
Answer:
137
Step-by-step explanation:
f(-9) = 2(-9)^2 + 5(-9) + 20
= 162 - 45 + 20
= 137
Please help me, I am unsure how to do this
Answer:
-1/4
Step-by-step explanation:
Mary ate x pounds of cherries. Leslie ate LaTeX: \frac{6}{9}6 9 more. Write an expression to represent how many pounds of cherries Leslie ate.
Answer:
The expression to represent number of cherries Leslie ate = ( x + [tex]\frac{6}{9}[/tex] ) pound.
Step-by-step explanation:
As given,
Mary ate cherries = x pound
And
Leslie ate [tex]\frac{6}{9}[/tex] more.
⇒Leslie ate cherries = ( x + [tex]\frac{6}{9}[/tex] ) pound.
which number line shows the graph of x \ 1
Answer:
x/1 is the same as x
Step-by-step explanation:
Which of the following is a factor of 7x2 + 42x - 49
x2 + 49
x+7
X-7
x+ 1
Answer:
[tex]x + 7[/tex]
is the answer because 7×2+42x-49
Graph this function: y+6=1/2(x-1)
Answer:
Hope this helps! Have a great day!
Step-by-step explanation:
Answer:
[tex]y=\frac{1}{2}x-\frac{13}{2}[/tex]
Step-by-step explanation:
Move all terms not containing y to the right side of the equation.
[tex]y = \frac{x}{2}-\frac{13}{2}[/tex]
Rewrite
[tex]y=\frac{1}{2}x-\frac{13}{2}[/tex]
Use the slope-intercept form to find the slope and y-intercept.
Slope: [tex]\frac{1}{2}[/tex]
y-intercept: [tex](0, -\frac{13}{2})[/tex]
good luck, hope this helps :)
Help please ASAP
Brainiest answer to whoever is correct
Rayann has 4 bracelets , Jennifer has 8 bracelets, June has 3 bracelets, and Tammy has 5 bracelets. They want to redistribute the bracelets so that each girl has the same number of bracelets. If the bracelets are redistributed, how many should each girl get?
Answer:
B) 5
Step-by-step explanation:
They have a total of 4+8+3+5 = 20 bracelets
There is 4 girls
20/4 = 5
Ashley and Carmen are both saving money for college. They each deposit a constant amount from their paychecks into their savings accounts. Which girl saves more money per paycheck? Explain how you know.
You have to use slopes
*find the area thats all *
Answer:
The area is 155 square feet
Step-by-step explanation:
[tex]\frac{(13+18)} {2}[/tex] × 10
[tex]\frac{31}{2}[/tex] × 10
15.5×10=155
Hope this helps! :)
In ΔSTU, u = 40 inches, ∠S=73° and ∠T=71°. Find the length of t, to the nearest inch.
Answer: 64 inches
Step-by-step explanation: Solve using sohcahtoa for missing info
How many constants are in the following expression?
7x + 4y - 5 + 4x Help
Answer:
1
Step-by-step explanation:
-5 is a constant because its a number on its own without a variable
Answer:
There is only 1 constant
Step-by-step explanation:
the constant is -5 because it's alone without any variables
FIND A AND B I WILL AWARD BRAINLIEST
Answer:
a = 7.4
b = 9.6
Step-by-step explanation:
set up a proportion to find 'b':
XN / NY = MN / NO
8/b = 13/(b+6)
cross-multiply:
13b = 8(b+6)
13b = 8b + 48
5b = 48
b = 9.6
set up a proportion to find 'a':
XN / XY = MN / MO
8/a = 13/12
cross-multiply:
13a = 96
a ≈ 7.4