Answer:
8/4 or 2
Step-by-step explanation:
2 solutions
The equation 2x - 4 = 4 - 2x has a single solution, x = 2.
The equation 2x - 4 = 4 - 2x can be simplified and analyzed to determine the number of solutions.
First, let's simplify the equation by combining like terms:
4x - 4 = 4
Next, we can add 4 to both sides of the equation to isolate the variable:
4x - 4 + 4 = 4 + 4
This simplifies to:
4x = 8
Now, we divide both sides of the equation by 4 to solve for x:
(4x) / 4 = 8 / 4
This yields:
x = 2
Therefore, the equation 2x - 4 = 4 - 2x has a single solution, x = 2.
This means that when we substitute x = 2 into the original equation, both sides will be equal. Thus, the equation has a unique solution, indicating that the two sides of the equation represent the same line or point of intersection.
In summary, the equation has one solution, which is x = 2.
To learn more about the linear equation;
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a second truck arrives whose ladder, when extended,is 30 meters long. the base of this ladder is also 4 metres above the ground. for safety reasons, the max angle of elevation that the ladder can make is 70%
Answer: The maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
Step-by-step explanation:
A diagram for the given situation is attached.
To find: AC
In right triangle ABF,
[tex]\dfrac{AB}{AE}=\sin 70^{\circ}\\\\\Rightarrow\ \dfrac{AB}{30}=0.9397\\\\\Rightarrow\ AB=30\times0.9397\approx 28.19[/tex]
Now AC = AB + BC = 28.19 + 30 meters = 58.19 meters
Therefore, the maximum height of the wall that can be reached by the ladder on the second truck = 58.19 meters
8 Hassan has a jug with a capacity of 800 ml.
He estimates that his bucket holds 20 times that of his jug.
Work out an estimate of the capacity of his bucket.
Give your answer in litres.
Answer:
The capacity of bucket is 16 liters
Step-by-step explanation:
Let j be the quantity of water in the jug
Then
[tex]j = 800ml[/tex]
Let B be the quantity of water held by the bucket
Then t is given that the bucket holds 20 times of water than the jug
[tex]B = 20j[/tex]
Putting the value of j
[tex]B = 800(20) = 16000[/tex]
We also know that
1 liter = 1000 ml
In order to convert ml into liters, we have to divide the quantity by 1000
[tex]B = \frac{16000}{1000} = 16\ liters[/tex]
Hence,
The capacity of bucket is 16 liters
(1) Colin wants to cut the pizza into 1/6 slices. Marco wants to cut the pizza into 1/4 slices. What is a common denominator of both fractions so that Marco and Colin can see both fourths and sixths in the pizza? What would the equivalent fractions be?
1/12
1/6 = 2/12
1/4 = 3/12
Step-by-step explanation:
During a basketball game Jorell attempted 40 shots and made 18. He says he made 40% of the shots he took. Is Jorell correct
Answer:
no
Step-by-step explanation:
18/40 is 45% and he said he made 40%
Answer:
He made 45% of his shots
Step-by-step explanation:
Ammar hikes 2 3/4 miles of nature trail in 1 hour and 15 minutes. 4
How many miles of trail does Ammar hike per hour?
Answer:
.42 mph
Step-by-step explanation:
The problem tells us theres 2.75/1.15 miles/hour. And we want to know x/1 miles/hour. To do this you cross-multiply using whats been referee to as the butterfly method. So take 2.75*x=1.15*1. Then you simplify and get 2.75x=1.15. To get x along you must divide which leaves you with. X=.4182(rounded). So you can go .42 miles per hour.
What is the answer?!!!
Answer:
[tex]\displaystyle d = \sqrt{72}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, -3)
Point (8, -9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [DF]: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9--3)^2}[/tex](Parenthesis) Simplify: [tex]\displaystyle d = \sqrt{(8-2)^2+(-9+3)^2}[/tex](Parenthesis) Subtract/Add: [tex]\displaystyle d = \sqrt{(6)^2+(-6)^2}[/tex][√Radical] Exponents: [tex]\displaystyle d = \sqrt{36+36}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{72}[/tex]Base b contains b-1 symbols
-4y^5 + 6y^3 + 8y^2 - 2y
Which of these is a solution to the equation ⅛ = ⅖ x? Use inverse operations to solve.
2/40
5/16
11/40
17/40
Identify the number soutions 5y^3-3y^2+8y=0
Answer: 0
Step-by-step explanation:
Step 1: factor left side of equation
y(5y^2-3y+8)=0
Step 2: set factors to equal zero
y=0 or 5y^2-3y+8=0
y=0
The sum of three consecutive EVEN integers is is 138. Find the smallest integer.
Step-by-step explanation:
Let x be the smallest even integer.
Then (x + 2) and (x + 4) are the other even integers.
We have x + (x + 2) + (x + 4) = 138.
=> 3x + 6 = 138
=> 3x = 132
=> x = 44.
Hence the smallest integer is 44.
Prime Factorization of 63 is 3 x 3 x 7.
What is the equivalent expression?
A. 23 x 7
B. 9x7
C. 32 x 7
D. 3x7
Answer: 9 x 7
Step-by-step explanation: 9 x 7 = 63
Hope this helps!
Solve.
8d + 6 = 22
d =
PLEASE HELP ITS DUE TODAY
Answer:
Its either answer B. or D. Sorry if I'm wrong and I hope this sorta helps.
Mr. Herrera has 4 cups of raisins to serve to his students as a snack. How many 19 of a cup of servings can Mr. Herrera make?
Answer: The answer is 4 * 9 = 36, So Mr. Herrera can make 36 sevings.
Can someone please help me out? What's the answer to 4 1/2 plus 3 3/4 ?
Answer:
8 1/4
Step-by-step explanation:
4 1/2 + 3 3/4 make the denominators the same
4 2/4 + 3 3/4 add the whole numbers
7 + 2/4 +3/4 add the fractions
8 1/4
Answer: 3
Step-by-step explanation:
I took 4 1/2 and made it an improper fraction which is 9/2 and then I took 3 3/4 and turned it into an improper fraction which is 15/4, so now you need to find the common denomerator which is 8 then you add the numerators which is 9 and 15 is 24 so can be divided by 8 so 24 divided by 8 is 3 and 8 divided by 8 is 1 so now you have another improper fraction 3/1 which is just 3. So that is how I got the answer!! :)
Cindy is buying a new car and wants to learn how the value of her car will change over time. Insurance actuaries predict the future value of cars using depreciation functions. One such function is applied to the car whose declining value is shown at the right.
Answer:
um theres no picture or anything but when a value decreases in an equation its exponential decay...
14 candy bars cost $5.20. How much would one cost? What is the unit rate?
Answer:
$0.37
Step-by-step explanation:
You can write this equation as, x=$5.20÷14.
This is because we know we are trying to find the x value for 1 candy bar. and 14 costs $5.20 in total. 14÷14=1. Therefore, we essentially divided the total sum among each individual candy bar. (example: if you wanted to find the value of 2 candy bars, you would take half of 14 and divide $5.20 by 7). $5.20÷14=$0.37 or 37 cents per candy bar.
Writing this as a rate is simple; it's $0.37/candy bar
In a collection of 40 coins, 45% of the coins are nickels? How many nickels are in the
collection?
F 20
G 15
H 18
J 24
HELP PLEASE The 30% discount on a $49 dollhouse
Answer:
$14.70
Step-by-step explanation:
$49 x .30 = $14.70
HELP PLEASEEE
The table shows the relationship between the number of sunflower seeds and the number of packages of sunflower seeds.
Which rule describes the values in the table?
Number of Seeds, x 15 30 45 60
Number of Packages, y 1 2 3 4
Answer:
Step-by-step explanation:
Help me
Answer:
y=15+x
Step-by-step explanation:
Can someone help with this mapping function I need help !
Answer:
A
Step-by-step explanation:
X's cannot have multiple outputs (y's) but y's can. The only one that prove thia is the case is A
What would need to happen to create a ratio of 3:1?
Answer:
subtract 2
Step-by-step explanation:
Answer:
Divide an odd number by 3
Step-by-step explanation:
V is the midpoint of GH. G has coordinates (5, -3), and V has coordinates (-1, 3). Identify the coordinates of H.
Answer:
(-7,9)
Step-by-step explanation:
Factorise:
4x^2+4xy+y^2-2^2
Answer:
Step-by-step explanation:
4x^2 + 4xy + y^2 = (2x + y)^2
and if we assume that 2x + y = A and because 4 = 2^2
A^2 - 2^2 = (A-2)*(A+2) .
doar de la 1 pana la 9
-6+ (-20) + (-40) + 3d
Answer: -66 + 3d or 3d - 66
Step-by-step explanation:
-6 + (-20) + (-40) + 3d
-6 - 20 - 40 + 3d
-26 - 40 + 3d
-66 + 3d or 3d - 66
Hope I helped!
Fake Question So It Doesn't Get Taken Down (What is the gemological answer for 5.87 x 7?) Real Question: Whats something i could watch on Netflix?
So numberone.....
haikyuu: its really good but its does cuss a bit.
MakoMermaids: LOLOLOL this one is kinda a joke-but itsgood
Work It:I totally recommend this one! Its a funny movie about a girl starting a dance group. Its great.
f(x)=1/(6x+8)
Only value of x not in the domain?
Answer:The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(
−
∞
,
∞
)
Set-Builder Notation:
{
x
|
x
∈
R
}
Step-by-step explanation:
The linear scale factor of two similar solids is given. Then the surface area and volume of the smaller figure are also given. Find the surface area and volume of the large figure.
Scale factor: 4:5
Surface area: 160
volume: 704
Surface area: ?
volume: ?
Answer:
Surface area: 250
Volume: 1375
Step-by-step explanation:
Scale factor: 4:5
This means that the dimensions of the larger figure are 5/4 of those in the smaller figure.
Surface area:
The surface area is found multiplying the square of the change(5/4) by the original surface area(160). So
[tex]S = (\frac{5}{4})^2 \times 160 = \frac{25}{16} \times 160 = 25 \times 10 = 250[/tex]
Volume:
The volume is found multiplying the cube of the change(5/4) by the original volume(704). So
[tex]S = (\frac{5}{4})^3 \times 704 = \frac{125}{64} \times 704 = 125 \times 11 = 1375[/tex]