0.78 can be written as the fraction 71/90 after simplifying by dividing both the numerator and denominator by the greatest common divisor, which is 0.1.
To rewrite the repeating decimal 0.78 as a simplified fraction, we can use the concept of geometric series.
Let x = 0.78
Multiply both sides by 10 to shift the decimal point:
10x = 7.88
Subtract the original equation from the multiplied equation to eliminate the repeating part:
10x - x = 7.88 - 0.78
This simplifies to:
9x = 7.1
Now, divide both sides of the equation by 9 to isolate x:
x = 7.1/9
To express the fraction in simplest form, we can find the greatest common divisor (GCD) of the numerator and denominator, and then divide both by the GCD:
GCD(7.1, 9) = 0.1
Dividing both the numerator and denominator by 0.1 yields:
7.1/9 ÷ 0.1/0.1 = 71/90
Therefore, the repeating decimal 0.78 is equivalent to the simplified fraction 71/90.
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Please help me fast please , i really dont understand .
Answer:
y= 1/3x - 5/2 or D
Step-by-step explanation:
Answer:
Step-by-step explanation:
2x - 6y = 15
-6y = -2x + 15
6y = 2x - 15
y = 2/6x - 15/6
y = 1/3x - 5/2
answer is C
1. Mrs. Sanders farm is 413 acres. She divided the farm into 52 equal parts. How many acres are in each part? 2. Which of the following numbers are prime? a) 53 b) 12 c) 18 d) 28
Answer:
each part will have about 7.9 acres and the prime number is 53
Step-by-step explanation:
One architect designed 30 houses on Lackey Avenue, which is 60% of all the houses on that avenue. How many total houses are there on Lackey Avenue?
Answer: 50 houses
Step-by-step explanation: If there was 100 houses the 60 percent would be 60 houses but all they did was cut the number of houses in half to try and trick you.
Hey can i have some help real quick?
The question and the answer choices are in the picture!
Ty, and have a good night!
Answer:
the first one
What type of equipment did police use in 1918
Answer:
Police officers, whether plain-clothed or uniformed, carry a variety of equipment with them on service calls. Police in uniform carry much more equipment than those in plain clothes, and members of special operations teams, such as SWAT and crowd-control units, carry even more, sometimes including full body armour complete with helmet, leg pads, and shield.
Step-by-step explanation:
hope it helped!
p.s it would be cool it you would give me brainliest
PLEASE HELP THIS IS URGENT!
which number is divisible by both 3 and 9
A. 36,359
B. 36,622
C. 48,618
D. 48,667
Answer:
48,618 is the answer
Step-by-step explanation:
i want the ans to this ques
Answer:
here you go..............
Need help plz and thnks
Answer: y=13
hope this helps!
Lois builds a cage for her hamster. The cage is a right rectangular prism. The height of the cage is 2 feet. The length and width are both x feet more than the height. Which expression represents the volume, in cubic feet, of the cage?
A. x^2 +6
B.2x^2+4x+4
C.x^2+4x+6
D.2x^2+8x+8
Answer:
[tex]V=2x^2+8x+8[/tex]
Step-by-step explanation:
The volume of a right rectangular prism is given by :
[tex]V=lbh[/tex]
Where,
l is length, bis breadth and h is height
ATQ,
Height of the cage is 2feet
The length and width are both x feet more than the height.
l = b = (x+2)
So,
[tex]V=(x+2)(x+2)2\\\\V=(x+2)^22\\\\V=(x^2+4+4x)2\\\\V=2x^2+8+8x[/tex]
So, the correct option is (D).
Answer:
Your Ans is
Option D.....
What is the prime factorization of 150?
2 × 3 × 5
22 × 3 × 5
2 × 32 × 5
2 × 3 × 52
Answer:
2x3x5x5
Step-by-step explanation:
150=2,75,5,15,3,5
2,3,5,5
Answer:
2 x 3 x 5 x 5
Step-by-step explanation:
9+10 answer me fast
Answer:
19
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
Write an equation for the description.
The length of a rectangle is twice its width. The perimeter of the rectangle is 121 feet.
Plzzz help
Answer:
[tex]121=6w[/tex]
Step-by-step explanation:
Formula for perimeter of a rectangle:
[tex]P=2l+2w[/tex]
[tex]w[/tex] = width
[tex]l[/tex] = length
Since the length is twice the width,
[tex]l=2w[/tex].
So, plugging these values into the formula, as well as the given perimeter of 121 feet, we get,
[tex]121 = 2(2w)+2w[/tex]
And after some simplification, we are left with,
[tex]121 = 6w[/tex]
When you rotate figures, what do you notice about sides, angles, and parallel lines?
Answer:
They are the exact same.
Step-by-step explanation:
like terms and unlike terms
Answer:
In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match.
Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power. For example, 8xyz2 and −5xyz2 are like terms because they have the same variables and power while 3abc and 3ghi are unlike terms because they have different variables. Since the coefficient doesn't affect likeness, all
Answer:
unlike terms
Step-by-step explanation:
are more than two hope this helps I just answer quickly
$5.36 for 20 oz
question
Xavier has a savings account with a balance of $320 and deposits(adds money
into account) $12 per month. Dayuan has a savings account with a balance of
$266 and deposits $30 per month.
write the inequality to determine the number of months xavier's account balance will greater than dayuans account balance
Answer:
320 + 12h > 266 + 30h
Step-by-step explanation:
Xavier total = 320 + 12h
Dayuans total = 266 + 30h
Where h = number of months
The inequality to determine the number of months xavier's account balance will be greater than dayuans account balance is
320 + 12h > 266 + 30h
Write the equation of the parabola in vertex form.
vertex (0,3), point (1,-4)
f(x) =
Answer:
f(x) = 7x² + 3Step-by-step explanation:
vertex form of an equation of the parabola:
f(x) = a(x - p)² + q
vertex (0, 3) ⇒ p = 0, q = 3
so:
f(x) = a(x - 0)² + 3
f(x) = ax² + 3
the parabola goes through point (1, -4) ⇒ x=1, f(x)=-4
-4 = a(1)² + 3
-4 = a + 3
a = 7
Therefore the equation of the parabola in vertex form:
f(x) = 7x² + 3
What are the coefficients in the following expression? -6y + 4- 7-8
please help!! this is for an assessment
Answer:
11/6 I think
Step-by-step explanation:
Welp that's all that came when I get the answer
solve for y
7x-5y=17
Answer: 7*x-5*y-(17)=0
Step-by-step explanation:
What is the value of x?
180°-45°=135°
135=2x-5
135+5=2x
140/2=x
x=70
Which is a greater y-intercept (0,-1) or (0,-2)
Answer:
(0,-1)
Step-by-step explanation:
-1 is less than -2 so -1 have a greater value since it is closer to the origin (0,0)
Which equation is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y= 8/3x
A. y=8/3-2
B. y=8/3x- 2/3
C. y=8/3x- 3/2
D. y=8/3x + 2
Answer:
B, y = 8/3x - 2/3
Step-by-step explanation:
parallel lines have the
8/3x-2/3 is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y= 8/3x.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
We need to find the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y= 8/3x.
The slopes of parallel lines will be same.
Firstly let us find y intercept.
2=8/3(1)+b
2-8/3=b
-2/3=b
Hence, 8/3x-2/3 is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y= 8/3x.
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What is the area, in square units, of a triangle with vertices at (-1,-1), (3,-1), (2,2) PLEASE HELP
Step-by-step explanation:
A=½bh
A=½(4•3)
A=½(12)
A=6 units sq
João tem uma coleção com 238 cartões com imagens de jogadores de futebol. ele pretende separar esses cartões em montinhos que tenham sempre a mesma quantidade de cartões.
As imagens abaixo mostram algumas opções de montes. Dentre essas, qual pode ser uma das que João poderá utilizar e, neste caso, qual a quantidade de montinho ele faria?
Answer:
Veja abaixo.
Step-by-step explanation:
238 = 2 * 7 * 17
2 * 119
7 * 34
14 * 17
Pode fazer 2 montinhos de 119 cartões.
Pode fazer 119 montinhos de 2 cartões.
Pode fazer 7 montinhos the 34 cartões.
Pode fazer 34 montinhos de 7 cartões.
Pode fazer 14 montinhos de 17 cartões.
Pode fazer 17 montinhos the 14 cartões.
books cost $10 each and book covers cost four dollars each. I spent a total of $40 on books and book covers. which of the following combinations of books and book covers could I possibly have purchased for $40
A 2-pack of board games cost $7.18. What’s the unit price
Answer:
$3.59
Step-by-step explanation:
3.59
+ 3.59
= 7.18
A phone call cost 7 for 2 minutes ___ per minute
Answer:
3.5
Step-by-step explanation:
7÷2 hope this helps
Diana usually drives at average rate of 30 mph. If she drives for 2 hours with the speed that is 10 mph more than usual, what distance will she cover?
Answer: 80 miles
Step-by-step explanation:
10mph + 30mph = 40 mph
Distance = Speed × time
D = 40m/h × 2 h
D = 80 m
A line passes through the point (–2, 7) and has a slope of –5. A coordinate plane. What is the value of a if the point (a, 2) is also on the line?
Y = mx + c
7= (-5)(-2)+ c
7= 10 +c
7-10=c
-3=c
Equation of the line: y = -5x-3
Sub in (a, 2)
2= - 5(a)-3
2+3= -5a
5= - 5a
1= - a
A = -1
Answer:
-7
Step-by-step explanation:
What is reciprocal of the number 5
Answer:
1/5
Step-by-step explanation:
5 = 1/5
6= 1/6
1/6= 6/1 (or just 6)
5/6= 6/5
Do you see the pattern?
Every number has a reciprocal except for 0. There is nothing you can multiply by 0 to create a product of 1, so it has no reciprocal.
Answer:
1/5.
Step-by-step explanation:
When referring to a reciprocal, it basically means taking the numerator and the denominator and flipping them.
For example, take 4/5. The reciprocal of 4/5 would be 5/4.
Now, take 5. As a fraction, it would look like 5/1. If you were to flip it, it would be 1/5.
Therefore, the reciprocal of 5 is 1/5.
