Answer:
x=1.69 or x=-0.44
Step-by-step explanation:
1) multiply both sides by 4x-5 to give 3=x(4x-5)
expand this ------>3=4x^2 - 5x
2) bring the 3 on the other side by subtracting 3
4x^2 - 5x - 3 = 0
3)use quadratic formula where a is 4, b is -5 and c is -3
[tex] \frac{ - b + or \: - \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
[tex] \frac{ - ( - 5) + \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = \: 1.69[/tex]
[tex] \frac{ - ( - 5) - \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = - 0.44[/tex]
The value of x in the equation 3 / 4x - 5 = x is -20.
What is the equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
3 / 4x - 5 = x
Solve the above equation as shown below,
x = 3 / 4x - 5
x - 3 / 4 x = -5 (Transform the variable on the left side and constant on the right side)
4x - 3x / 4 = -5
x / 4 = -5
x = 4 × (-5)
x = -20
Thus, the value of x is -20.
To know more about equation:
https://brainly.com/question/12788590
#SPJ2
A baseball diamond is a square with 90 foot sides. If the catcher is standing on home plate, what is the approximate distance to throw out a player headed to second base?
help!!
============================================================
Explanation:
Draw a straight line from home plate to second base. Two right triangles form. Each triangle has both legs equal to 90 ft. The hypotenuse is what we're after. We'll use the pythagorean theorem to find it.
[tex]a^2 + b^2 = c^2\\\\c = \sqrt{a^2 + b^2}\\\\c = \sqrt{90^2 + 90^2}\\\\c = \sqrt{16200}\\\\c \approx 127.27922\\\\c \approx \boldsymbol{127.3}\\\\[/tex]
It's approximately 127.3 feet from home plate to second base. This is a straight line distance. Any curved path the ball takes will travel a slightly longer distance; however, we only consider the straight line distance for the sake of simplicity.
HELP ME PLEASE
A newly made car will have a model number, a parts number, and a serial number. A model number is assigned by the manufacturer to identify each type of car. A parts number identifies one part of the smaller parts that make up the car. A serial number is unique to each car produced and identifies it.
Which relation is a function? (2 points)
(parts number, serial number)
(model number, parts number)
(serial number, model number)
(serial number, part number)
Answer:
(serial number, model number)Step-by-step explanation:
HELP ME PLEASE AAAAAAAAAAA
Answer:
180°consecutive interior angles are supplementary∠620°, 160°Step-by-step explanation:
The blanks get filled in like this:
Statement 3: m∠6 +m∠4 = 180°
Reason 3: Consecutive interior angles are supplementary
Statement 4: m∠6 +8·m∠6 = 180°
Statement 5: m∠6 = 20°, m∠4 = 160°
_____
You can see from the diagram that angles 4 and 6 are consecutive interior angles. You know the relation between those angles is that they are supplementary. The problem is asking you to state that relationship as Reason 3.
The given relation between the angles, m∠6 = 1/8·m∠4, can be recast as ...
8·m∠6 = m∠4
This is the substitution that is used in statement 4.
Simplifying that statement gives 9·m∠6 = 180° ⇒ m∠6 = 180°/9 = 20°. Then m∠4 = 8·m∠6 = 8·20° = 160°.
answer this asap
1)There are 30 students in a class. 18 are girls. Express the number of girls as a percentage of the
class.
2)What is the probability of choosing the color blue from the colors of the rainbow?
Answer:
1) 18/30×100%=60%
Hope this helps!!!
Answer:
See below
Step-by-step explanation:
Hi there!
Question 1
There are 30 students in total and 18 are girls, making 18/30 of the class girls. To express this as a percent, divide, then multiply by 100:
18/30 = 0.6
0.6 × 100 = 60%
Therefore, 60% of the class is girls.
Question 2
There are 7 colours in the rainbow, making blue 1/7 of the colours of the rainbow.
Therefore, the probability of choosing blue from the colours of the rainbow is 1/7.
I hope this helps!
Lori decied to save up for a trip.She put $1120 of her saving into a bank account. If she earns 2% interest how much will have alotgether after
help pls
Answer:
$1,344 is her total.
Step-by-step explanation:
0.2 x 1120 = 240 + 1120
WHAT IS THE VALUE OF 4^3
4 AND A SMALL THREE IN THE RIGHT CORNER
THE AWNSER CHOICE
12
16
43
64
IF AWNSER NOT KNOW COMMENT BELOW IG.,...
Answer:
The answer is 64
Step-by-step explanation:
When you are dealing with exponents you have to multiply the main number as many times as the exponent number. [tex]4^{3}[/tex]
In this case, you multiply 4 three times
[tex]4*4 = 16\\16*4=64[/tex]
The profit P in dollars, gained by selling x computers is modeled by p = -5x²+1000x+5000. How many computers must be sold to obtain a profit of 55,000,00
Answer:
[tex]p = - 5 {x}^{2} + 1000x + 5000 \\ 5500000 = - 5 {x}^{2} + 1000x + 5000 \\[/tex]
solve for x
Step-by-step explanation:
55,000,00=-5x²+1000x+5000
collect like terms
5x²-1000x= -55,000,00+5000
5x²-1000x = -45000
x²=-45000/5=-9000
x²=square root of 9000=3000
recall
5x²-1000x=3000
-1000x=3000
divide both side by coefficient of x
x= -3
f(x)=x^4−4x^3−22x^2+4x+21
Select each correct answer.
−3
−1
0
1
3
7
Answer:
-1
1
7
-3
Step-by-step explanation:
what is the correct way to label the entire line segment shown
Answer:Yea looks like you have it already C
Step-by-step explanation:
-2r+11=13 2r=2 r= I need help
Answer:
-2r = 2 - Subtract 11 from both sides
r = -1
13, 22,31,... what is the 31st term?
Answer:
thirty-first ordinal. being or denoting a numerical order in a series.
Step-by-step explanation:
En el salón de Esteban hay 28 alumna y solo han regresado a clases presenciales 45% de sus compañeros ¿cuantos alumnos faltan por regresar?
15 students are yet to return for the face to face classes
Given the following parameters
Total number of students in Esteban's classroom = 28 students
If 45% of classmates have returned to face-to-face classes, the total number of classmates that have returned to face-to-face classes is 0.45 * 28 = 12.6
People that are yet to return = 28 - 12.6
People that are yet to return = 15.4
This shows that about 15 students are yet to return for the face to face classes
Learn more here: https://brainly.com/question/19914553
At his birthday party, John's mother served a plate of 23 cupcakes. If every person at the party ate the same amount of cupcakes and all of the cupcakes were eaten, how many people
were at John's birthday party?
A) 23
B) 12
C) 6
D) 4
Answer:
A) 23
Step-by-step explanation:
Let's divide the total number of cupcakes by the different option choices, and see what works and what doesn't:
A) 23/ 23 = 1
This works, everyone will get one cupcake
B) 23 / 12 ≈ 1.91666667
This doesn't work, we have a decimal / remainder, and you normally would not split 2/3s of a cupcake with someone at a party
C) 23 / 6 ≈ 3.8333334
This doesn't work, we have a decimal / remainder, and you normally would not split 2/3s of a cupcake with someone at a party
D) 23 / 12 ≈ 5.75
This doesn't work, we have a decimal / remainder, while this is a nicer remainder, it still is incorrect
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
2x⁴-6x²+3 divided by 2x-6
Step-by-step explanation:
answer is 552€₹%+×::!^*I HOPE ITS CORRESCTPlease help me pretty please
Answer:
805, 835, 865, 885
Step-by-step explanation:
divided into 20 parts
900-800=100
100/20=5
each part is 5
first one is 1 part away from 800
800+5=805
second one is 7 away from 800
800+7*5=835
third one is 7 away from 900
900-7*5=865
fourth one is 3 away from 900
900-3*5=885
Answer:
Solution :Here we can see that horizontal line divided into 20 vertical lines between the horizontal line. Then,
= 900 - 800
= 100
Finding the value of 1 vertical line.
➝ 1 line = 100
➝ 1 line = 100/20
➝ 1 line = 5
Hence, 1 line = 5
Finding part 1 :
➝ 800 + (1 × 5)
➝ 800 + 5
➝ 805
Finding part 7 :
➝ 800 + (7 × 5)
➝ 800 + 35
➝ 835
Finding part 13 :
➝ 800 + (13 × 5)
➝ 800 + 65
➝ 865
Finding part 17 :
➝ 800 + (17 × 5)
➝ 800 + 85
➝ 885
Hence, the answer is 805, 835, 865, 885.
There are 6 circles and 9 triangles. What is the simplest ratio of circles to total
shapes?
Answer:
2:5
Step-by-step explanation:
6 circles : 9 triangles.
Solving for ratio of circles and total
6 circles: 15 shapes ( added 6 and 9 )
thus this can reduce to
2:5 <-- by 3 ( 3*2=6) and (3*5=15)
Leave a comment if this doesn't make sense ;)
Please help will mark brainliest
Answer:
u cant be marked
Step-by-step explanation:
u cant be marked
giving brainliest to the correct answer
does pineapple belong on pizza
yes or no
if both say yes or no, no ones getting brainliest
yes it does belong on pizza
Please help me. I’m so confused
Answer:
probably 2.............
What is the point slope and slope intercept of this graph below
Answer:
Line is y = -3x + 3
Slope = -3
y-intercept = 3
Step-by-step explanation:
Slope is the movement up or down, and left or right. Y-intercept is the point in which the line crosses the y-axis. In slope-intercept form (y=mx+b), m represents the slope, while b represents the y-intercept.
So since the line crosses the y-axis at positive 3, that will be the y-intercept. Now if we go from that very same point, and do rise/run, we'd move downwards 3 units and to the right 1 unit, to get our slope of -3/1 (it's written as just -3 though).
So now we plug it in: y = -3x + 3
Hope this helps you :)
".
Measure these angles.
a)
b)
Describe the first step you would take in solving 12 = 7 - 3x + 5x. Explain.
Answer:
the first step would be to combine the x's
Step-by-step explanation:
1.) combine x (12=7+2x)
2.) subtract 7 from both sides of the equation (5=2x)
3.) divide by 2 to allow x to be by its self (5/2=x)
Find the slope of the line that passes through (75, -83) and (-11, -85).
please I'm in soccer and our last game is Saturday I wont be able to play if I fail this report card so please answer as soon as possible. Please and Thank You.
Slope = (y₂ - y₁) ÷ (x₂ - x₁)
= (-85 - (-83)) ÷ (-11 - 75)
= -2 ÷ -86
= ¹/₄₃
Checking my answer:
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.
⇒ y - (-83) = ¹/₄₃ (x - 75)
⇒ y + 83 = ¹/₄₃ (x - 75)
I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.
solve pls brainliest
7/40 written as a decimal is 0.175
The answer is 0.175 So easy
Use the distributive property to write an expression that is equivalent to 8 + 24x
Answer:
8(3x + 1)
Step-by-step explanation:
8 and 24 are multiples of 8
(8/8) + (24x/8) = 1 + 3x
The equation with distributive property is 8(1 + 3x)
-Chetan K
PLEASE HELP 60 PTS
Graph the piecewise function.
Answer:-2x < 10.
Step-by-step explanation:
haircut josiah went to the local barber to get his hair cut.it cost $18 foto the haircut josiah tipped the barber 15%
15% of $18 is $2.70...........
One person can mow a lawn in 30 minutes. A second person requires 45 minutes to mow that lawn. How long will it take the two people, working together, to mow the lawn?
Answer: 16 1/4 minutes
Step-by-step explanation:
Let A be the mowing rate for the first person, and B the rate for the second. X will be the time spent mowing.
We are told that A = 30 min/lawn. B = 45 min/lawn. These are conversion factors, so we can invert them to:
A = 1 lawn/30 min. B = 1 lawn/45 min
If both work together, the amount of lawn that is mowed working togehterwould be the time, X (in minutes), spent times their individual rates:
X*(A + B) = Lawn Mowed
We want to know the time, X, it would take to mow the same 1 lawn together. [Lawn Mowed = 1]. Use the equation:
X*(A + B) = Lawn Mowed
X*((1 lawn/30 min) + (1 lawn/45 min)) = 1
X/(30 min) + X/(45 min) = 1
X/30 + X/45= 1
X + X(30/35) = 30 {Multiply both sides by 30]
(1 + 30/35)X = 30
(65/35)X = 30
X = 30*(35/65)
X = 30/(7/13)
X = 30*(7/13)
X = 210/13
X = 16 1/4 minutes
What is the greatest common factor (GCF) of 14 and 21?
Answer:
7
Step-by-step explanation: u get 14 by multiplying 2 and 7 and u get 21 by multiplying 7 times 3
[tex]14 = 7 \times 2 \\\\21 = 3 \times 7\\\\GCF = 7[/tex]
Kyle had some money.
He spent £12 on a ticket to a football match.
He spent £9.90 on a scarf.
Kyle has two-fifths of his money left.
Work out how much money Kyle had to start with.