The Answer is
7 - 2x
Step-by-step explanation:
23 -14x + 12x - 16
(23 - 16) + (-14x + 12x)
= 7 - 2x
hope this help a'lot
The expression equivalent to 23−14x+12x−16 is 7 - 2x
How to find equivalent expressions?Here we simply take our expression to simplify it.
We start with:
23−14x+12x−16
First, we combine all the terms having x and combine other constant values.
(23 - 16) + (-14x + 12x)
Now we solve the two parts of the above expression we will get,
7 + (- 2x)
Simplifying we get,
7 - 2x
Therefore the equivalent expression is 7 - 2x
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44 is the sum of 14 and Rick's savings.
What is the distance between points (8,3) and (53,31) on a coordinate plane?
Answer:
53 units
Step-by-step explanation:
Let [tex](x_1,y_1)\rightarrow(8,3)[/tex] and [tex](x_2,y_2)\rightarrow(53,31)[/tex] to use the distance formula:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(31-3)^2+(53-8)^2}\\\\d=\sqrt{(28)^2+(45)^2}\\\\d=\sqrt{784+2025}\\\\d=\sqrt{2809}\\\\d=53[/tex]
Thus, the distance between the two points is 53 units
Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)
To use the Pythagorean theorem:
⇒ define Pythagorean theorem
(look at the diagram attached for a better understanding)
Information Given:
length of the two legs: 5, 9Information Wanted:
length of hypotenuseSolve:
[tex]5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29[/tex]
Rounded to nearest tenth:
Answer: Length of hypotenuse is 10.3
Hope that helps!
I need this ASAP!!!!!
Answer:
7/5 y intercept 1
Step-by-step explanation
Answer:
B: slope 5/7 Y-intercept is 1
Step-by-step explanation:
To calculate the slope it is rise orver run
To calculate the Y intercept you look at the graph and where-ever x=0 and y=- is the number.
The slope is 5/7 because the rise is 10 and the run is 14. 10/14 is simplified to 5/7.
the Y intercept is 1 because on the vertical line the line passes through 0,1.
There are 1,000 balls in a container. All of the balls are the same size and shape. In the container, there are 400 red balls; 250 orange balls; 100 green balls; and 250 yellow balls. A student will pick one ball at random from the container. What are the probabilities that the student will pick a ball that is either red, orange, or green? Select the three correct probabilities.
A) Red = 1/4
B) Red = 0. 4
C) Orange = 1/4
D) Orange = 0. 4
E) Green = 0. 1%
F) Green = 10%
Determine Number of Solutions in System
Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
As both left side is same
Slopes are equalThere is no solutions .
Answer:
no solutions
Step-by-step explanation:
Given equations:
Equation 1: [tex]-x+y=8[/tex]Equation 2: [tex]2x-2y=-14[/tex]Rewrite the given equations to make y the subject:
Equation 1
[tex]-x+y=8[/tex]
[tex]\implies y=x+8[/tex]
Equation 2
[tex]2x-2y=-14[/tex]
[tex]\implies 2y=2x+14[/tex]
[tex]\implies y=x+7[/tex]
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
(where m is the slope and b is the y-intercept)
As both equations have the same slope, the lines are parallel and therefore there is no solution to the system of equations as the lines do not intersect.
HEL PLS ITS MY HOMEWORK AND I REALLY NEED HELP
Answer and explanation:
Take the area formula:
A = L * W
Then manipulate it to fit the context of which unknown you are finding:
Problem 1
[tex]\dfrac{36 = 4 * W}{4}[/tex]
[tex]9 = W[/tex]
So, the length of side c is 9 mm.
Problem 2
[tex]\dfrac{21 = W * 21}{21}[/tex]
[tex]1 = W[/tex]
So, the length of side a is 1 m.
Problem 3
[tex]\dfrac{49 = 7 * W}{7}[/tex]
[tex]7=W[/tex]
So, the length of side t is 7 cm.
PLEASEEEE HELLPPPP!!!!!!!!!!!!!!!!
f(x)= -2x^2
what is the vertex of this and/or how do you find the vertex??
Answer:
(0,0)
Step-by-step explanation:
x value of vertex = -b/2a
ax^2+bx+c
-2x^2+0x+0 sinc you have no value of b & c in your quadratic function
-b = 0
2a = (2)(-2)
-b/2a = (0/-4) = 0
x value of the vertex = 0
plug 0 in for all values of x in the function to find y coordinate value
-2(0)^2 = 0
(x,y) = (0,0)
-2x+4y=28
-3x +2y = 6
Solve for x
Answer:
x=4, y=9
Step-by-step explanation:
Solve with substitution.
PLS HELPPPPPPP
A, B and C line up randomly to buy tickets. Find the probability that A is beside C in the queue
Answer:
Sample Space = {(ABC), (ACB), (BAC), (BCA), (CAB), (CBA)}
= 6
Instances when A is besides C {(ACB),( BAC),( BCA), ( CAB)}
=4
P( A is besides C)= 4/6
= 2/3MARK ME AS BRAINLISTHELP HELP I GIVE BRANLISEST
Area of triangle:-
1/2(6)(12)6(6)=36cm²Area of rectangle (Including semicircle)
12(21)252cm²Area of semicircle
πr²/2π(6)²/218πcm²56.52cm²TOTAL area:-
36+252-56.52288-56.52231.48cm²Answer:
231.48 cm²
Step-by-step explanation:
Formulae
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of a semicircle = 1/2 πr²
To find the shaded area:
Find the area of the rectangle. Subtract the area of the semicircle from the rectangle. Add this to the area of the triangle.
Area of the rectangle:
= 12 x 21
= 252 cm²
Area of the semicircle:
= 1/2 π(12 ÷ 2)²
= 1/2 · 3.14 · 6²
= 1/2 · 3.14 · 36
= 56.52 cm²
Area of the triangle:
= 1/2 x 6 x 12
= 36 cm²
Shaded area:
= area of rectangle - area of semicircle + area of triangle
= 252 - 56.52 + 36
= 194.48 + 36
= 231.48 cm²
Fifteen is 3/8 of what number
Let's write the verbal phrase "fifteen is 3/8 of what number" as an algebraic equation ↓
15=3/8x (let x be the number)
Multiply by 8 on both sides to get rid of the fraction :
15*8=3x
120=3x
divide by 40 on both sides ↓
40=x
So 15 is 3/8 of 40.hope helpful ~
You received an $40,000 bonus, which was 18% of your salary. What is the percentage of your salary is this bonus?
Answer:
2.3% is the percentage of the Salary
Step-by-step explanation:
find the mean absolute deviation of the data below:
7,4,7,7,2,10,12,8,7,5
Answer:
1.9
Step by step answer
step1 finding the mean
(7+4+7+7+2+10+12+8+7+5)/10 = 6.9
step2 Difference between each data
Difference between 7 and 6.9 is 0.1
Difference between 4 and 6.9 is 2.9
Difference between 7 and 6.9 is 0.1
Difference between 7 and 6.9 is 0.1
Difference between 2 and 6.9 is 4.9
Difference between 10 and 6.9 is 3.1
Difference between 12 and 6.9 is 5.1
Difference between 8 and 6.9 is 1.1
Difference between 7 and 6.9 is 0.1
Difference between 5 and 6.9 is 1.9
step3 add all the Difference
0.1 + 2.9+0.1+0.1+4.9+3.1+5.1+1.1+1.9 = 19.4
step4 divde it by n
19.4/10 = 1.9
so the answer is 1.9
Please help Will give BRAINLIEST !!! :)
Answer:
D no. is for sure another I also don't know. So sorry.......
solve for x: 4x+1/2(2x+4) >12
Answer: x>2
Step-by-step explanation:
[tex]4x+\frac{1}{2} (2x+4) > 12[/tex]
Step 1: Simplify both sides of the inequality through the Distributive Property
[tex]4x+\frac{1}{2} (2x+4) > 12\\4x+(\frac{1}{2})(2x)+(\frac{1}{2})(4) > 12\\4x+x+2 > 12\\5x+2 > 12[/tex]
Step 2: Subtract 2 from both sides to isolate x
[tex]5x+2-2 > 12-2\\5x > 10[/tex]
Step 3: Divide both sides by 5 to full isolate x
[tex]\frac{5x}{5} > \frac{10}{5} \\x > 2[/tex]
Answer:
[tex]x > 2[/tex]
Step-by-step explanation:
[tex]4x+\frac{1}{2}(2x+4) > 12 < ==multiply\ the\ \#s\ in\ the\ parenthesis\ first\ using\ \frac{1}{2}\\\\4x+x+2 > 12 < ==combine\ any\ like\ terms\\\\5x+2 > 12 < ==subtract\ 2\ from\ both\ sides\\-2 \ \ \ \ \ -2\\\\5x > 10 < ==divide\ both\ sides\ by\ 5\\/5 \ \ \ \ /5\\\\x > 2[/tex]
This means that x can be any value that is greater than 2.
Hope this helps!
help please find x and y, 10 points and brainliest to best answer
Answer:
y =8
x=80
Step-by-step explanation:
5y-10=3y+6
5y-3y=6+10
2y =16
y=8
x+30+x-10=180
2x+20=180
2x=160
x=80
whats -2( 20x + 2) = -36
Answer:
[tex]x= \dfrac 45[/tex]
Step by step explanation:
[tex]-2(20x+2) = -36\\\\\implies 20x +2 = \dfrac{-36}{-2} = 18\\\\\implies 20x = 18 - 2=16\\\\\implies x = \dfrac{16}{20}=\dfrac{4}5[/tex]
If the two acute angles of a right triangle are congruent, then what is the measure of each acute angle?
Let A={1,2,3,4,5} and B={2,4} what is AnB
Answer:
AnB = { 2,4}
Step-by-step explanation:
A={1,2,3,4,5} and B={2,4}
AnB means A intersect B or what is common to both A and B
AnB = { 2,4}
What is the form of the Difference of Squares identity?
A. a^2 + b^2=(a - b)(a - b)
B. a^2- b^2 = (a+b)(a - b)
C. a^2 - b^2 = (a - b)(a - b)
D. a^2- b^2 = (a+b)(a + b)
The answer is B
seeing there are 3 way to put it
(a+b)(a-b)=a 2-b 2
(a+b)(a-b)=a^2-b^2
(a+b)(a-b)=a2-b2
and option B matches with the second way to put it i hope this helps
I know it's not A. I need help please
Answer:
139 degrees
Step-by-step explanation:
The sum of the interior angles of a polygon :
sum = ( n-2) * 180 where n = number of sides
For this one there are 5 sides
so ( 5-2) * 180 = 540 degrees
angle U = 90 degrees
90 + 82 + Y + 121 + 108 = 540 Y=139 degrees
Answer:
It is C. 139
Step-by-step explanation:
Angles of TVXXYZ is 720 degrees. We know that angles Z, W and X are 82 degrees, 108 degrees and 121 degrees (311 degrees after adding them). T= 180-28=152 degrees
V=90+28=118 degrees
152+118=270 degrees
270+311=581
720-581=139 degrees
The answer is C. 139 degrees
multiply (x-3)(x-6) with steps please
Can someone help me please, its for plato algebra 2-1
Answer:
5
Step-by-step explanation:
Simplification:
[tex]\sqrt{2^3-7} + |-4|[/tex]
[tex]\sqrt{1} + 4[/tex]
1 + 4
5
A repairman charges a flat fee of $50 to come to a customer's house, plus a charge per hour for any work completed. The repairman charged a customer $154 after 4 hours of work. Which function will calculate the cost of the repairman after x hours of work?
Answer:
50 - 4x = 154;
Step-by-step explanation:
50 - 4x = 154
154 - 50 = 104
104 / 4 = 26
x = 26
From a point, 50 feet from the base of a building, the angle of elevation from ground level to the top of the building is 66°. find the height of the building to the nearest hundredth of a foot
Answer:
112.30 ft
Step-by-step explanation:
The geometry can be modeled by a right triangle with a base of 50 ft, an angle adjacent to the base of 66°, and a side opposite the angle that is the height of the building. The relationship between these measures is given by the trig function ...
Tan = Opposite/Adjacent
tan(66°) = height/(50 ft)
Solving for the height gives ...
height = (50 ft)tan(66°) ≈ 112.30 ft
The height of the building is about 112.30 feet.
An equation is shown below: 3(2x − 7) = 9
Part A: How many solutions does this equation have?
Part B: What are the solutions to this equation? Show your work.
Answer:
1 solution
Step-by-step explanation:
3(2x-7)=9
dustribute: (3)(2)+(3)(-7x)=9
6+-21x=9
subtract 6 from both sides: -21x=3
Divide both sides by -21: x=-1/7
so your 1 solution is x = - 1/7
Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are exactly that.
See picture for full problem. Please and thank you so very much.
Answer:
50 degrees
Step-by-step explanation:
the attached photo might help
PLEASE HELP
What is the product of (-a + 3)(a + 4)?
A. - a2 - a - 12
B. a2 - a + 12
C. - a2 - a + 12
D. a2 - a - 12
Answer:
-a^2-a+12
Step-by-step explanation:
Answer:
Option C.
[tex]-a^{2}-a+12[/tex]
Step-by-step explanation:
1. Distributive multiply
[tex]-a*(a+4)+3*(a+4)[/tex]
2. Distributive multiply
[tex]-a*a-a*4+3*(a+4)[/tex]
3. Multiply terms to exponential form
[tex](-1) *a^{2}-a*4+3*(a+4)[/tex]
4. Multiply constants
[tex]-a^{2}-4*a+3*(a+4)[/tex]
5. Distributive multiply
[tex]-a^{2}-4a+(3*a+3*4)[/tex]
6. Multiply constants
[tex]-a^{2}-4a+(3a+12)[/tex]
7. Reorder terms
[tex]-a^{2} -4a+(12+3a)[/tex]
8. Add terms
[tex]-a^{2}-a+12[/tex]