Answer:
x = 5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightEquality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Leg a = x
Leg b = 12
Hypotenuse c = 13
Step 2: Solve for x
Substitute in variables [Pythagorean Theorem]: x² + 12² = 13²Evaluate exponents: x² + 144 = 169[Subtraction Property of Equality] Subtract 144 on both sides: x² = 25[Equality Property] Square root both sides: x = 5factoring trinomials 6n^2-56n-40
Answer:
Step-by-step explanation:
Use the Quadratic Formula to find the roots, i.e., the values of n for which 6n²-56n-40 = 0.
Answer:
2(n - 10)(3n + 2)
Step-by-step explanation:
Given
6n² - 56n - 40 ← factor out 2 from each term
= 2(3n² - 28n - 20) ← factor the quadratic
Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.
product = 3 × - 20 = - 60 and sum = - 28
The factors are - 30 and + 2
Use these factors to split the n- term
3n² - 30n + 2n - 20 ( factor the first/second and third/fourth terms )
= 3n(n - 10) + 2(n - 10) ← factor out (n - 10) from each term
= (n - 10)(3n + 2)
Thus
6n² - 56n - 40 = 2(n - 10)(3n + 2)
In the triangle xyz, zv is both the median and the altitude, if xy=9x+12 and xz=11x+2 and yz=4x+20 find the perimeter
Answer:
The answer is "2(12x+17)"
Step-by-step explanation:
The formula of the perimeter:
[tex]\to \bold{P=xy+yz+xz}[/tex]
[tex]=9x+12+4x+20+11x+2\\\\=9x+4x+11x+2+20+12\\\\=24x+34\\\\ =2(12x+17)[/tex]
PLS HELP 100PTS AND BRAINLIEST
What pair of numbers (x, y) will satisfy both equations below?
3x+y=10
−4x+2y=0
A.)x=3 and y = 1y=1 or (3,1)
B.)x=1 and y=2 or (2,1)
C.)x=10 and y=20 or (10,20)
D.)x=2 and y=4 or (2,4)
Answer:
D) x = 2 and y = 4 or (2, 4)
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}3x+y=10\\-4x+2y=0\end{cases}[/tex]
Multiply Equation 1 by -2:
[tex]\implies -6x-2y=-20[/tex]
Add this to Equation 2 and solve for x:
[tex]\implies (-4x+(-6x))+(2y-2y)=(0+(-20))[/tex]
[tex]\implies -10x=-20[/tex]
[tex]\implies x=2[/tex]
Substitute the found value of x into Equation 1 and solve for y:
[tex]\implies 3(2)+y=10[/tex]
[tex]\implies 6+y=10[/tex]
[tex]\implies y=10-6[/tex]
[tex]\implies y=4[/tex]
Therefore, the pair on numbers (x, y) that satisfies both equations is (2, 4)
(2,4)
Let's verify
#1
3(2)+46+410Verified
#2
-4(2)+2(4)-8+80Verified
68 less than 55 times a number is equal to the number(x). Please can someone tell me the value of the number(x)?
Answer:
x = 34/27 or 1 7/27
Step-by-step explanation:
55x - 68 = x
-68 = -54x
x = 68/54
What expressions are equivalent to y4 - 625?
Answer:
option D
Step-by-step explanation:
a² - b² = (a + b) (a - b)
625 = 5 * 5 * 5 * 5 = 5⁴
y⁴ - 625 = y⁴ - 5⁴
= (y²)² - (5²)² {a = y² ; b = 5²}
= (y² + 5²)(y² - 5²)
= (y² + 25)(y² - 5²)
= (y² + 25)(y + 5)(y - 5)
How do you write 9/10 as a percentage
#To make a fraction into percentage, the easy way is to times the fraction with 100
The percentage of 9/109/10 × 100 = 90
#and so, the percentage of 9/10 is 90%
Answer : 90%I WILL NAME YOU THE BAINLIEST PLEASE ANSWER FAST
Express each rate as a unit rate.
a. 32 teams in 4 divisions
b. $2.70 for 15 ounce
Answer:
To solve for the unit rate, know that the final answer must be out of 1. Or it is the quantity or amount of something per unit of measurement.
For instance in the above question, the unit rate for 32 teams in 4 divisions would be 8 teams per division.
Likewise for the other question it would be 270/15.
Step-by-step explanation:
now gimme brainlest plzzzzzz
Jane sold a house for $160,000 that she listed. Her broker charges a % commission and she receives 60% of the commission. How much did Jane receive?
Jane gets 5,760.
What is commission?Commissions are a form of variable-pay remuneration for services rendered or products sold.
Given:
House sold for $160,000 with a listing commission of 6%
So, full commission
=160,000*0.06
= 9, 600
And, jane's share will be
=9600 * 0.60
=5,760
Hence, jane's share will be 5,760.
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ANIMALS A whiptail lizard has a tail that is twice as long as its body. The equation 2b = 6 describes the length of a certain whiptail lizard’s tail in inches. If b is the length of the whiptail lizard’s body, use mental math or the guess, check, and revise strategy to find the length of this whiptail lizard’s body. What is the total length of the lizard?
Answer:
B= 3
Total length of lizard is 3+6=9 inch
Step-by-step explanation:
does anyone know how to do this? will give brainiest
Answer:
x = 22, and im rlly sry, i dont know how to solve for y...im sry...
Step-by-step explanation:
180 - 55 = 125 degrees
so
6x - 7 = 125
+7 +7
6x = 132
divide by 6
x = 22
If i drive from my town to town a and then to town b and the journey time was 50 minutes what is my average speed
Step-by-step explanation:
distance must be given
average speed is distance and time
How can you see that a reflection could work without knowing where the line of reflection is? If you get the answer right I'll paypal, venmo or cash app you $50. So drop your paypal, venmo or cash app along with your answer.
Note how going from R to S to T to U has us going counterclockwise. In contrast, going from R' to S' to T' to U' has us going the opposite direction going clockwise. This change in orientation strongly implies that a reflection has been done. Reflections always flip orientation.
-----------------------------------------
Here's how we can find the line of reflection.
Draw a line segment from point R to point R'. Mark the midpoint of the segment as point A
Repeat this process to form a segment from S to S'. Mark the midpoint as point B.
The line of reflection will pass through points A and B. This is because the line of reflection is equally distant between the original point (such as point R) and its reflected point (such as R'). This must mean that the line of reflection goes through the midpoint of segment UU' and also segment TT'.
Refer to the diagram below.
a regular pentagon ABCDE is shown work out angle x
Answer:
108 degrees inside each corner
Step-by-step explanation:
360/5=72
180-72=108
solve this problem plss
-2 x < 12
Answer:
x<14
Step-by-step explanation:
Please help due soon.
Answer:
9.n 410.x -111.4x 412.p -1I hope this helps:D
1 poi
1. Evaluate 24 + -5y, when y = 2. Work the problem out on your paper and
put only the number in the blank. *
Your ancier
Answer:
14
Step-by-step explanation:
substitute 2 for y
multiply
subtract
yay
is this relationship proportional why or why not?
Answer:
no
Step-by-step explanation:
to be proportional, every step of 1 in the upper row, must equal an equal step in the lower row.
from 1 to 2: +15
from 2 to 3: +18
not the same so not proportional
in a recent year , 41 out of 250 people in the labor force belonged to a union
Answer:
Hola Ninos
Step-by-step explanation:
6th grade math help me pleaseeee
Answer:
use math- way for those and your other homework i promise it'll work!
Step-by-step explanation:
Factor 8y+7x⁴-9
Anyways...
Happy Valentines Day Kiyoomi
❤️✨❤️✨❤️✨❤️✨❤️✨❤️
Answer:
yikes they're accounts got deleted✋
Step-by-step explanation:
10f – 10 and 2(8f – 5 Is it equivalent
Answer: no
plz give brainleist
Step-by-step explanation:
let f be 2 10 x 2 - 10=10
2 x 8x2-5=22
Answer:
These two expressions are only equivalent when f=-5/6. If f=><-5/6, then the equations are not equivalent.
Step-by-step explanation:
here is an example jy26903
Answer:
I meant an example for a problem like the one you posted.
Either way, I'll try to help.
in the example, you're finding out what percentage of 352 is 226.6.
So divide 226.6 (The number that you're using to find what percentage it is of 352) by 352( the number you're finding the percentage of.)
226.6/352= 0.64375, and multiply the quotient by 100 to get 64.375. You're rounding up by the nearest hundredth, so the 7 turns to 8. (5 or more means rounding up.)
your final answer for the example is 64.38%. So Try that with your next problem.
For the one you're working on, divide 110.9 by 100 and then multiply it by 419.
You'll get 464.671.
Divide by 4 then add 2
Please someone help thanks :)
Answer:
0 = 2
2 = 2.5
4= 3
6 = 3.5
8 = 4
10 = 4.5
Help I need the answer now
Answer:
-6/16
Step-by-step explanation:
Just multiply the top and bottom by 2.
Answer:
(-3/8)
Step-by-step explanation:
4.32 + b = 19
b = ?
Quick guys my grade are dropping I need help!
Answer:
14.68
Step-by-step explanation:
4.32 + b = 19
Solve for b.
_____________
To solve, we need to get b by itself.
4.32 + b = 19
Subtract 4.32 from both sides :
b = 14.68
PLS HELP ASAP!!!! Who had Enlightenment principles that Thomas Jefferson built upon when he drafted the Declaration of Independence?
John Locke
George Washington
King George III
John Adams
A rancher is going to fence three sides of a corral next to a river. He needs to maximize the corral area using 240 feet of fencing. The quadratic equation A(x)=x(240−2x) gives the area of the corral, A, for the length, x, of the corral along the river. Find the length of the corral along the river that will give the maximum area, and then find the maximum area of the corral.
Answer:
A. 60 feet B. 7200 ft²
Step-by-step explanation:
A. Find the length of the corral along the river that will give the maximum area
To find the length of the corral that will give the maximum area, we differentiate A with respect to x and equate it to zero.
So, dA(x)/dx = d[x(240 - 2x)]/dx
= (240 - 2x)dx/dx + xd(240 -2x)/dx
= 240 - 2x -2x
= 240 - 4x
So, dA(x)/dx = 0
240 - 4x = 0
4x = 240
x = 240/4
x = 60 feet
B. Find the maximum area of the corral
The maximum area at x = 60 feet is
A(x)=x(240−2x)
A(60)=60(240−2(60))
A(60) = 60(240 - 120)
A(60) = 60(120)
A(60) = 7200 ft²
Answer:
maximum: 7200 sq ft. 60 ft along the river
Step-by-step explanation:
The maximum area of 7,200 square feet is reached when the corral has a length of 60 feet along the river.
a person got 10percent increase in his salary . If his salary was Rs50000 then find increase in salary
Answer:
10 over 100 multiply by Rs 50000 over 1
.: cut 2 zeros ( 0 ) from 100 and cut 2 ( zeros ) from Rs 50000
.: 10 over 1 by Rs 500 over 1
.: 10 multiply RS 500 = 5 000
His / her increment = RS 5 000
Use the equation to identify a and b * a = 1/5 and b = 3 a = 3 and b = 1/5 a= 1/5 and b =1 a = 1 and b = 3
Answer:
[tex]a = 3[/tex]
[tex]b = \frac{1}{5}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 3(\frac{1}{5})^x[/tex] --- Missing from the question
Required
Identify a and b
The given equation is an exponential function and the general form is:
[tex]f(x) = ab^x[/tex]
When [tex]f(x) = ab^x[/tex] is compared to [tex]f(x) = 3(\frac{1}{5})^x[/tex]
We have that: [tex]a = 3[/tex] and [tex]b = \frac{1}{5}[/tex]
(a) Find an angle between 0° and 360° that is coterminal with 1020
Answer:
300°
Step-by-step explanation:
Subtract 360° from 1020° and repeat until angle is in required range
1020° - 360° = 660°, then
660° - 360° = 300°
300° is coterminal with 1020°
An angle between 0° and 360° that is coterminal with 1020° is 300°.
What are Coterminal angles?Coterminal angles are defined as the angles which has the same terminal side with the initial side on the positive side of X axis.
We have to find an angle between ° and 360° that is coterminal with 1020°.
Subtract 360° from the given angle until the angle obtained is between 0° and 360°.
1020 - 360 = 660
660 - 360 = 300
So 300° is a coterminal angle with 1020.
Hence the coterminal angle is 300°.
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