Answer:
7.82 = 391
50
= 741
50
as a fraction
To convert the decimal 7.82 to a fraction, just follow these steps:
Step 1: Write down the number as a fraction of one:
7.82 = 7.82
1
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,
7.82
1
= (7.82 × 100)
(1 × 100)
= 782
100
.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(782,100) = 2. So,
(782÷2)
(100÷2)
= 391
50
when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 782
100
is also equal to 741
50
when expressed as a mixed number.
Step-by-step explanation:
Answer:
7.82
20
Step-by-step explanation:
hope this helps
You go shopping at a local department store with your friend and cousin. You buy one pair of jeans, four pairs of shorts, and two shirts for $84. Your friend buys two pairs of jeans, one pair of shorts, and three shirts for $76. Your cousin buys one pair of jeans, two pairs of shorts, and one shirt for $52. How much does each item cost?
Answer: Cost per pair of jeans = $ 20
Cost per pair of shorts = $12
Cost per shirt = $8
Step-by-step explanation:
Let x= cost per pair of jeans
y = Cost per pair of shorts
z= cost per shirt.
For you, total cost = x+4y+2z= 84
For your friend, total cost = 2x+y+3z=76
For cousin, total cost = x+2y+z= 52
Required system:
[tex]x+4y+2z=84\ (i)\\ 2x+y+3z=76\ (ii)\\ x+2y+z=52\ (iii)[/tex]
from (i), [tex]x=84-4y-2z[/tex] (*)
put this in (ii) and (iii) we get
[tex]2\left(84-4y-2z\right)+y+3z=76\\\Rightarrow\ -7y-z+168=76\ (iv)\\\\ 84-4y-2z+2y+z=52\\\Rightarrow\ -2y-z+84=52 \ (v)[/tex]
from (iv), [tex]y=-\frac{z-92}{7}\ (vi)[/tex]
[tex]\mathrm{Subsititute\:}y=-\frac{z-92}{7}\ \text{in}\ (v)[/tex]
[tex]-2\left(-\frac{z-92}{7}\right)-z+84=52\\\\\Rightarrow\ -2\left(-\frac{z-92}{7}\right)-z=-32\\\\\Rightarrow\ -\frac{5z}{7}-\frac{184}{7}=-32\\\\\Rightarrow\ -5z-184=-224\\\\\Rightarrow\ -5z=-40\\\\\Rightarrow\ z=8[/tex]
[tex]\mathrm{Subsititute\:}z=8\text{ in (vi)}[/tex]
[tex]y=-\frac{8-92}{7}\\\\\Rightarrow \ y=12[/tex]
[tex]\mathrm{Subsititute\:}z=8,\:y=12\text{ in (*)}[/tex]
[tex]x=84-4\cdot \:12-2\cdot \:8\\\\\Rightarrow\ x= 20[/tex]
Hence, x= 20, y= 12 , z=8
So, Cost per pair of jeans = $ 20
Cost per pair of shorts = $12
Cost per shirt = $8
Can you find the solution
Given 9, 12, 15, 18, 21, 24 ... Write an algebraic representation for this sequence.
Answer:
tn=9+3(n-1)
Step-by-step explanation:
Formula: tn=t1+d(n-1)
AKA: term n=term 1 plus common difference times n minus 1
For this sequence: tn=tn; t1=9; common difference=3; n-1=n-1
Plug in the answer: tn=9+3(n-1)
The length of a rectangle is 4 times its width. Write three different expressions to describe its perimeter. Explain how you wrote each expression.
Answer:
2(4x+x)
Step-by-step explanation:
What is 212 tens / 10
Answer:
212 ones
Explaination:
If you have 212 tens and trade them all for ones, hence the ÷10, you'll get 212 ones.
If 5x kilos of carrots cost php 900.00 pesos, how much is the price per kilo?
Answer:
180 pesos
Step-by-step explanation:
divide 900 by 5
If a || b, m<2 = 63°, and m<9 = 105°, give the measure of each angle.
m<1 =
M<3=
m<4=
m<5=
m<6=
m<7=
m<8=
m<10=
m<11=
m<12=
m<13=
m<14 =
Answer:
a. m<1 = 105° - 63° m<1 = 42°
b. m<3 + m<2 + m<1 = 180° m<3 = 75°
c. m<4 = m<1 m<4 = 42°
d. m<5 = m<2 m<5 = 63°
e. m<6 = m<3 m<6 = 75°
f. m<7 = m<9 m<7 = 105°
g. m<8 = m<6 m<8 = 75°
h. m<10 = m<8 m<8 = 75°
i. m<11 = m<4 m<11 = 42°
j. m<12 = 180° - m<11 m<12 = 138°
k. m<13 = m<11 m<13 = 42°
l. m<14 = m<12 m<14 = 138°
Step-by-step explanation: Sorry if not all are correct
Applying the relationship existing between angle pairs, the measure of each angle in the image are:
m<1 = 42°
m<3 = 75°
m<4 = 42°
m<5 = 63°
m<6 = 75°
m<7 = 105°
m<8 = 75°
m<10 = 75°
m<11 = 42°
m<12 = 138°
m<13 = 42°
m<14 = 138°
Given that a || b, where:
m<2 = 63°m<9 = 105°, the missing angle measures will be determined as follows:Find m<1:
m<1 + m<2 = m<9 (exterior interior angle theorem)
Substitutem<1 + 63° = 105°
m<1 = 105° - 63°
m<1 = 42°
Find m<3:
m<1 + m<2 + m<3 = 180° (angles on a straight line)
Substitute42° + 63°+ m<3 = 180°
105° + m<3 = 180°
m<3 = 180° - 105°
m<3 = 75°
Find m<4:
m<4 = m<1 (vertical angles theorem)
Substitutem<4 = 42°
Find m<5:
m<5 = m<2 (vertical angles theorem)
Substitutem<5 = 63°
Find m<6:
m<6 = m<3 (vertical angles theorem)
Substitutem<6 = 75°
Find m<7:
m<7 + m<6 = 180° (corresponding angles theorem)
Substitutem<7 + 75° = 180°
m<7 = 180° - 75°
m<7 = 105°
Find m<8:
m<8 = m<6 (alternate interior angles theorem)
Substitutem<8 = 75°
Find m<10:
m<10 = m<6 (corresponding angles theorem)
Substitutem<10 = 75°
Find m<11:
m<11 = m<4 (alternate interior angles theorem)
Substitutem<11 = 42°
Find m<12:
m<12 = m<6 + m<5 (alternate interior angles theorem)
Substitutem<12 = 75° + 63°
m<12 = 138°
Find m<13:
m<13 = m<11 (vertical angles theorem)
Substitutem<13 = 42°
Find m<13:
m<14 = m<12 (vertical angles theorem)
Substitutem<14 = 138°
Learn more here:
https://brainly.com/question/24607467
factor 2x^2 - 7x = 0
Answer: x=3.500
Step-by-step explanation: product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
2x-7 = 0
Add 7 to both sides of the equation :
2x = 7
Divide both sides of the equation by 2:
x = 7/2 = 3.500
Can you guys please help me with this math problem
Answer: I believe that its the second one, the third one, and the fifth one. Have a great day and good luck!
Step-by-step explanation:
Answer:
the first isnt true, the second is true, the third fourth and fifth are correct and the sixth is false
Step-by-step explanation:
What is the exact value of Cosine (StartFraction 11 pi Over 21 EndFraction) cosine (StartFraction pi Over 7 EndFraction) minus sine (StartFraction 11 pi Over 21 EndFraction) sine (StartFraction pi over 7 EndFraction)?
Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Negative one-half
One-half
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Answer:
Option (2)
Step-by-step explanation:
Given trigonometric expression is,
[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex]
This expression is in the form of an identity,
cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
By substituting the values of A = [tex]\frac{11\pi}{21}[/tex] and B = [tex]\frac{\pi}{7}[/tex] in the identity,
[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex] = cos[tex](\frac{11\pi}{21}+\frac{\pi}{7})[/tex]
= cos[tex](\frac{11\pi+3\pi}{21})[/tex]
= cos[tex](\frac{14\pi}{21})[/tex]
= cos[tex](\frac{2\pi}{3})[/tex]
= -[tex]\frac{1}{2}[/tex]
Therefore, Option (2) will be the answer.
Answer:
B. -1/2
Step-by-step explanation:
on edge
Can you find the equation of a line parallel to the green
line through the point (-5,-3). Write you equation in
point-slope form.
Answer:
[tex]\displaystyle y+3=-\frac{4}{5}(x+5)[/tex]
Step-by-step explanation:
The point-slope form of the equation of a line is:
y-k=m(x-h)
Where m is the slope and (h,k) is a point through which the line passes.
We are required to find the equation of the line passing through the point (-5,-3) and parallel to the green line shown in the graph.
We need to find the slope of the green line. Once we have the slope, we will have the slope of our line since parallel lines have the same slope.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can clearly identify the following points in the green line: (0,4) (5,0):
[tex]\displaystyle m=\frac{0-4}{5-0}=-\frac{4}{5}[/tex]
Now we have the slope and the point, the equation of the line is:
[tex]\displaystyle y-(-3)=-\frac{4}{5}(x-(-5))[/tex]
[tex]\boxed{\displaystyle y+3=-\frac{4}{5}(x+5)}[/tex]
What is 17% written as a decimal? Will give brainiest for fastest and correct answer!!!
What is 17% written as a decimal?
a.
0.0017
b.
0.017
c.
0.17
d.
1.7
Answer:
0.17
Step-by-step explanation:
Answer:
C) 0.17
Step-by-step explanation:
There is an invisible decimal behind the 17 in 17% and you have to move that decimal to the right twice. Which makes 17% become 0.17
If I have $100 dollars and spend $99.99 dollars, how much money do I have left?
Answer:
You have $00.01
Step-by-step explanation:
100-99.99=0.01
Answer:
A cent.
Step-by-step explanation:
100 - 99.99 = 0.01
You would have $0.01, or a cent, left.
Hope this helps.
Answer plsssssssssssssss
Answer:
i can't see the full question
Step-by-step explanation:
Step-by-step explanation:
Okay, so we know that exponents mean a number times itself.
Numerator: 4x4x4x4x4x4x4= 16,384
Denominator: 4x4x4x4x4= 1,024
Now, since it is a fraction, we divide the two.
16,384/1,024= 16
Thus, your answer is 16 ;)
El radio de la rueda de una bicicleta mide 30cm ¿cuanto avanza la bicicleta en cada vuelta?
In the figure below, Triangle A has been rotated about the origin. Which Triangle shows a 270 degree counterclockwise rotation?
Answer:
Square
Step-by-step explanation:
10 multiplied by 1/2
−24 − (18 ÷ 6) × (−12)
Answer:
12
Step-by-step explanation:
Answer:
The expression is equal to 12.
Step-by-step explanation:
[tex]-24-(18 / 6)*(-12)[/tex]
First of all, compute the parenthesis.
18 / 6 = 3
Now, replace 18/6 with 3 in our expression.
[tex]-24-(18 / 6)*(-12)[/tex]
[tex]-24-(3)*(-12)[/tex]
Next, compute the multiplication.
-12 * 3 = -36
Again, we'll replace that multiplication with negative 36:
[tex]-24-(3)*(-12)[/tex]
[tex]-24-(-36)[/tex]
Since subtracting a negative number is the same as adding a positive number:
[tex]-24-(-36) = -24+36[/tex]
Compute the addition:
[tex]-24+36=12[/tex]
[tex]-24-(18 / 6)*(-12) = 12[/tex]
Answer: The expression is equal to 12.
place the following in order least to greatest
square root of 11
square root of 40
6
5
Answer:
sqaure root of 11
5
6
square root of 40
Step-by-step explanation:
square root of 11- 3.31
sqaure root of 40- 6.32
6
5
hope this helps :)
Which of these values could be the slope of the line? Select two options.
–2
0
3
Answer:
3
Step-by-step explanation:
The slope is positive since it goes from the bottom left to top right so 3 is the only choice
Answer: 3
Step-by-step explanation:
The line is increasing (meaning it's pointing to the right), so that means the slope must be a positive value. When the slope is 0, the line is flat. When the slope is negative, it's decreasing (pointing to the left).
someone help me im gonna fail science plsfjidkl
Answer:
it is either 23 or 24 its kinda hard to tell.
Step-by-step explanation:
Answer:
15 degrees
Step-by-step explanation:
the value of f(2) for the function f(x)=2x+1
Solve the equation, justify
each step with an algebraic
property.
-2x = x – 5
Answer:
x= 1.66 repeating
Step-by-step explanation:
Let's solve your equation step-by-step.
−2x=x−5
Step 1: Subtract x from both sides.
−2x − x = x − 5− x
−3x=−5
Step 2: Divide both sides by -3.
-3x/-3=-5/-3
Answer:
x=1.66 repeating
A truck can be rented from Company A for $100 a day plus $0.20 per mile. Company B charges $40 a day plus $0.40 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
Answer:
at mile 160, both will cost 300
Help!!!! I don’t really understand sloped so any help would be helpful.
Answer: The slope is -2.
Step-by-step explanation:
Since the line is going through the origin it means that if you find a point on the line and divided the y coordinate of point by it's x coordinate then you will get the slope or the constant change value.
The equation of a proportional line says that y = kx where k is the slope.
And to find k, you will divide y by x.
One point that is located on the line is (-1,2) The y coordinate is 2 and the x coordinate is -1.
Divide 2 by -1 to find the slope.
2/-1= -2
This means the slope is -2.
-2 2/3 - (- 1/3) =
.......
The rental fee for space at a flea market is $200 per month base rate
plus an additional $10 for each square yard of floor space beyond the
standard area of 12square yards. The total fee can be modeled using the
equation in the box, where "F" represents the fee, and "x" represents the
number of square yards rented beyond the standard area. What is the
most reasonable meaning of the number 10 in this equation?
Answer:
anor soi sena orka uzumo senda?
Solve for the solution: 2m+1≥7
Answer:
m≥3
Step-by-step explanation:
Answer:
m≥3
Step-by-step explanation:
1. 1) Simplify the following expression: 5b - 5 - 12b - 7
Step-by-step explanation:
Here is your answer in the screen shot please check there
I’ve cram shop sold 501 cones. They sold 501 cones. They sold 1/2 as many chocolate as vanilla. Write and equation & solve the problem.
Answer:
i want some kitty Kat