Answer:
x = -201/80
Mixed form: x = -2 41/80
Step-by-step explanation:
Value of x = [tex]-2\frac{1}{4}[/tex]
What is algebraic equation?Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.
Examples: (y²x² + 2xy – y)/(x – 1) = 12.
Given, equation
[tex]\frac{4}{5}(x- \frac{3}{10} )[/tex] = [tex]-2\frac{1}{4}[/tex]
⇒4/5[(10x-3)/10] = -9/4
⇒2/5[(10x-3)/5] = -9/4
⇒(20x-6)/25 = -9/4
⇒80x - 24 = -225
⇒80x = -225 + 24
⇒x = -201/80
⇒x = -2.5125
⇒x = [tex]-2\frac{1}{4}[/tex]
Hence, the value of x in simplest mixed number is [tex]-2\frac{1}{4}[/tex]
Learn more about algebraic equation here:
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What can you multiply by to find:
50% of a number?
10% of a number?
75% of a number?
Answer:
1. 50% of a number
0.5
2. 10% of a number
0.1
3. 75% of a number
0.75
Step-by-step explanation:
this is because a percentage is the same as a decimal or a fraction
so 50% is 0.5 or 50/100
taking 50% of something is the same as multiplying by 50% or 0.5 or 50/100
same with 10% and 75%
Could somebody help n explain pls thx
Answer:
lines are perpendicular
Step-by-step explanation:
• Parallel lines have equal slopes
• The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange the given equations into this form and extract the slope
3x - 2y = - 6 ( subtract 3x from both sides )
- 2y = - 3x - 6 ( divide through by - 2 )
y = [tex]\frac{3}{2}[/tex] x + 3 ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
----------------------------------
4x + 6y = 2 ( subtract 4x from both sides )
6y = - 4x + 2 ( divide through by 6 )
y = - [tex]\frac{4}{6}[/tex] x + [tex]\frac{2}{6}[/tex] , that is
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
--------------------------------------
[tex]\frac{3}{2}[/tex] ≠ - [tex]\frac{2}{3}[/tex] , then lines are not parallel
[tex]\frac{3}{2}[/tex] × - [tex]\frac{2}{3}[/tex] = - 1
Thus the lines are perpendicular to each other
. You are a Geographic Information System (GIS)
specialist preparing a zoning map for a county
agency. The area that you are mapping is a square
measuring 4 miles on each side, and it includes all
or part of 998 separate lots ranging from
to 987 acres. The map scale is 1 inch 500 feet
About how long is each side of the map that
you will print?
A 2 inches
B. 4 inches
10 inches
24 inches
B. 42 inches
Answer:
l will print A2 inches cause each side of the scale of the map is 1inch
6. Adlise Leiber started the day with a bank balance of $343.64.
She used another bank's ATM to withdraw $100 cash. The
charge for using the ATM was $2.50. Adlise then used her
card to make purchases of $85.10, $23.95, and $8.47. Find
the balance in her account after the bank processed these
transactions.
Answer:
$123.62
Step-by-step explanation:
85.10 + 23.95 + 8.47 = 117.52
117.52 + 100 + 2.50 = 220.02
$343.64 - $220.02 = $123.62
plz helpp what is b?
Answer:
41 degrees
Step-by-step explanation:
the two squares that make up the rhombus are both equilateral so we know that the measure of angle WUX is 56 degrees. subtract 15 from 56 and you get 41 degrees.
This figure is made up of two rectangular prisms.
What is the volume of the figure?
Enter your answer in the box.
Answer:
3•2•7=42•2=84
12•10•7=840
84+840=924in^3
Step-by-step explanation:
Enter the number in scientific notation. 86,792 =
Answer:
8.6792 × 10 4 (I don't know how to make the four smaller but its 10 to the power of 4).
Step-by-step explanation:
8.6792 × 10 4. is the scientific notation
Please help! This is due in 25 minutes!! Will give brainliest, 5 star rating, 10 points, and a thanks!!!!
Answer:
333
666
Step-by-step explanation:
333 / 9 = 37
666 / 9 = 74
yeah-ya...... right?
Answer:
333
Step-by-step explanation:
we see that all three digits are the same so heres a list of numbers it could be 222 333 444 555 666 777 and we know that numbers divisible by nine mean all the digits added up have to be divisible by nine and we can see that 333 equals 9 when the digits are added together so this is the answer.
HELP 35 POINTS
State the domain and range to each of these functions and determine function or not.
Answer:
see below
Step-by-step explanation:
2.x<1, y=all real numbers
3. -1<=x<=3 -3<=y<=2
4. x= all real numbers, y>-2
5. 7<=x<5, 3<=y<1
6.x>-4, y>-1
What is 521,000,000 expressed in scientific notation? A. 5.21x 10^8 B. 5.21x10^9 C. 0.521x10^-9 D. 0.521x10^9
Answer:
A. [tex]5.21*10^{8}[/tex]
Step-by-step explanation:
Multiplying by [tex]10^{n}[/tex] moves the decimal point n places to the right.
Doing so 8 times for 5.21 gives 521,000,000.
Carbon-14 has a half-life of 5730 years. How long will it take for 180 grams to decay to 100 grams?
Answer:
3185
(I'm not sure if it's correct, if it's wrong I apologize in advance.)
Use the properties of operations to write an expression equivalent to 4x + 1/2 + 2x - 3
Hey there!
4x + 1/2 + 2x - 3
COMBINE the LIKE TERMS
= (4x + 2x) + (1/2 - 3)
TRYING to SIMPLIFY THEM
4x + 2x
= 6x
1/2 - 3
= -5/2
ANSWER
6x + (-5/2)
Therefore, your answer should be: 6x + -5/2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
pls help asap! i will mark brainliest!
Step-by-step explanation:
that simply means that D is the middle point of AC.
and that means that both sides of D are equal long :
x + 8 = 2x - 17
25 = x
therefore
AB = x - 7 = 25 - 7 = 18
a toy car costing 500.00 is reduced by 10% in the sale how much does it cost now?
After the 10% reduction in the price of the toy car, the car costs 450.
In order to determine the cost of the toy car after the price was reduced by 10%, the first step is to determine what 10% of $500 is.
10% x 500
0.1 x 500 = 50.
The second step is to subtract the value of the 10% price reduction from the original cost of the toy car.
500 - 50 = 450
To learn more about how to calculate discounts, please check: https://brainly.com/question/9350849?referrer=searchResults
Average Speed=Distance undefined ➗ Time
A Rocket took 5 minutes to travel the 185 km necessary to leave the atmosphere. How fast did the Rocket travel?
Answer:
37 km/minute
Step-by-step explanation:
Using speed formula: [tex]Speed = \frac{Distance}{Time}[/tex]
=> 185/5
=> 37 km/minute
Hoped this helped.
During a recent rainstorm, 8 centimeters of rain fell in Dubaku's hometown, and 2.362, points, 36 centimeters of rain fell in Elliot's hometown. During the same storm, 15.1915, point, 19 centimeters of snow fell in Alperen's hometown.
How much more rain fell in Dubaku's town than in Elliot's town?
centimeters
Answer:
Hence, 5.64 centimeters of more rain fell in Dubaku's town than in Elliot's town.
Step-by-step explanation:
The amount of rain that fell in Dubaku's hometown is: 8 centimeters.
Amount of rain that fell in Elliot's hometown is: 2.36 centimeters.
We are asked to find how much more rain fell in Dubaku's town than in Elliot's town so it is calculated as the difference between the rain in both of there towns and is given by:
Difference in rain= 8-2.36
Difference in rain= 5.64 centimeters.
Increase 1000 in the ratio 2:5
Answer:
1400
Step-by-step explanation:
2/5×1000=400
1000+400=1400
Step-by-step explanation:
Let the new quantity be x.
x:1000=2:5
x/1000=2/5
(multiply both side by 1000)
[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]
[tex]x = 400[/tex]
Use the conjugate to divide1 - i / square root of 3 + 4i
Answer:
Step-by-step explanation:
(1 - i) / (sqrt(3 + 4i)
= (1 - i) / [tex]\sqrt{3 + 4i}[/tex]
=> multiply and divide by conjugate of denominator
= [tex](1 - i) / \sqrt{3 + 4i} * \sqrt{3 - 4i} / \sqrt{4 - 3i}[/tex]
= [tex](1 - i)*(\sqrt{3 - 4i} ) / (\sqrt{3 + 4i} *\sqrt{3 - 4i})[/tex]
= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - 16i^{2} )[/tex]
= [tex](1 - i) * (\sqrt{3 - 4i} ) / \sqrt{(9 - (-16) )[/tex]
= [tex](1 - i) * \sqrt{3 - 4i} ) / \sqrt{25}[/tex]
= [tex](1 - i) * \sqrt{3 - 4i} / 5[/tex]
= [tex]\sqrt{(1 - i)^{2} } * \sqrt{3 - 4i} / 5[/tex]
= [tex]\sqrt{(1 + -1 -2i)*(3 - 4i)} / 5 \\\sqrt{-2i * (3 - 4i)} / 5\\\sqrt{-6i + 8*-1} /5 \\\sqrt{-6i - 8 } / 5[/tex]
Ty factored 24a + 36c and got an answer of 3(8a + 12c). Did Ty factor correctly?
If not, explain what he did wrong and correct his mistake.
No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)
Geometry haha, I have no idea how to do this
Answer:
∠DOB=108°
Step-by-step explanation:
∠AOD=∠COB=y
∠AOC=3.5y-y-y
=1.5y
3.5y+1.5y=360° (angles at a pt)
5y=360°
y=360°÷5
=72°
1.5y=72°×1.5
=108°
Hence, ∠DOB=108°.
Answer:
108
Step-by-step explanation:
Call the angle facing east x. The angle facing west is also x. The angle facing north, (thus the angle facing south) is given and is y. You can tell that if you take y twice and x once you get 3.5y, and it's easy to spot that x+y=180. Rest is simple math as in the image added - sorry for the handwriting. With simple algebra (you substitute back and forth) you should get x = 108 degrees.
59 divided by 4=? PLEASE HELP!
Answer:
14.75
Step-by-step explanation:
56/4 = 14, 3/4 = .75
add them together
Answer: 14.75
Step-by-step explanation: yeah its 14.75 but if you want to simplify it, then its 14.8
Simplify the expression -3/(-2/5)
-3/(-2/5) = -3 * (5/-2)=15/2=7.5
Answer:
im new but im pretty sure its 7.5
Step-by-step explanation:
To solve this expression, we can use PEMDAS or order of operations. Parenthesis. Exponents.
Use the triangle below to fill in the blanks.
Answer:
length of the opposite leg divided by the hypotenuse
Step-by-step explanation:
How to get p value from t.
Answer:
For a lower-tailed test, the p-value is equal to this probability; p-value = cdf(ts).For an upper-tailed test, the p-value is equal to one minus this probability; p-value = 1 - cdf(ts)7
During spring training, the Detroit Tigers won about 2/3 of the games they played while the
Cleveland Indians won 7/15
of the games they played. What fraction more of the games did
Detroit win than Cleveland?
please answer my question and dont give me a link
Answer:
3/15 or 0.2
Step-by-step explanation:
You would need to subtract as it is asking for amount MORE won.
2/3 - 7/15
Make the denominator the same in order to subtract.
= 10/15 - 7/15
Subtract.
= 3/15
Which statement is correct about the system of linear equations graphed below? On a coordinate plane, 2 lines are parallel to each other.
A. The system of equations has one solution because the lines will eventually intersect. B. The system of equations has one solution because the lines will never intersect.
C. The system of equations does not have one solution because the lines will eventually intersect.
D. The system of equations does not have one solution because the lines will never intersect.
Answer:
D. The system of equations does not have one solution because the lines will never intersect.Step-by-step explanation:
If two lines are parallel, then there is no intersection and therefore no solutions.
Correct choice is D
Answer:
D. The system of equations does not have one solution because the lines will never intersect.
edg2021Unit Test
Step-by-step explanation:
Jack estimates that a piece of wood measures 4.5 cm. If it actually measures 4.72 cm, what is the percent error of Jack’s estimate? (Show all of your work)
Answer:
ion
Step-by-step explanation:srry
g(t) = (t-10) (t+1)
1) What are the zeros of the function?
Step-by-step explanation:
Write properties of function:
x intercept/zero: ; T1= -1 and T2=10
vertex form: g(t)= (t-9/2)^2, (-121/4)
vertex: 9/2, 121/4
Explanation Write properties of function: Write properties of function:
x intercept/zero: ; t1=-1, and t2=10
vertex form: (t-9/2)^2, (-121/4)
vertex: 9/2, 121/4
hope this helped
A family of four drove to Disney World: It took 12 hours to get there. Parking was $15. The total cost of parking and admission was $195. How much was each ticket?
heres the table and graph
Answer: distance 1min = 10in
In 1 minute the snail travels 10 inches
In 2 minute the snail travels 20 inches
In 3 minute the snail travels 30 inches
In 4 minute the snail travels 40 inches
In 5 minute the snail travels 50 inches
y=10x