Answer:
A) 20+0.6[tex]x[/tex]
B) range is [0, 50] (i.e. both inclusive)
C) 8.33 litres
Step-by-step explanation:
Given that concentration of acid in 50 litre container is 40%.
Amount of acid in the container = 40% of 50 litres
Amount of acid in the container = [tex]\frac{40}{100} \times 50 = 20\ litre[/tex]
[tex]x[/tex] litres are removed.
Amount of acid removed = 40% of [tex]x[/tex] litre.
Now, remaining acid in the container = (20 - 40% of [tex]x[/tex]) litre
Now, replaced with 100% acid.
So, final acid in the container = (20 - 40% of [tex]x[/tex] + 100% of [tex]x[/tex] ) litre
Amount of acid in the final mixture:
[tex]20 - \dfrac{40}{100} \times x + \dfrac{100}{100} \times x\\\Rightarrow 20 +\dfrac{100-40}{100}x\\\Rightarrow 20 +\dfrac{60}{100}x[/tex]
Answer A) Amount of acid in the final mixture = 20+0.6[tex]x[/tex]
Answer B) [tex]x[/tex] can not be greater than 50 litres (initial volume of container) and can not be lesser than 0 litres.
so, range is [0, 50] (i.e. both inclusive)
Answer C)
Given that final mixture is 50% acid.
amount of acid = 50% of 50 litres = 25 litres
Using the equation:
[tex]20+0.6x =25\\\Rightarrow 0.6x =5\\\Rightarrow \bold{x =8.33\ litres}[/tex]
What is the value of the expression below?
-8+19+8
О 0
O 11
0 19
O 35
Answer:
19
Step-by-step explanation:
Using number line method:
-8+19=11
11+8=19
Answer:
19 is the answer
19 -8+8=19
Determine if each statement is always, sometimes, or never true. Parallel lines are ____ coplanar. a) always b) sometimes c) never Perpendicular lines are ____ coplanar. a) always b) sometimes c) never Distance around an unmarked circle can ______be measured. a) always b) sometimes c) never
Answer:
Parallel - Always
Perpendicular - Always
Circle - Never
Step-by-step explanation:
Parallel lines always exist in the same plane.
Circle needs to be marked in order to be measured.
Quoteing from https://brainly.com/question/4854505#:~:text=As%20you%20can%20see%2C%20the%20red%20and%20blue,N.%20In%20conclusion%2C%20perpendicular%20lines%20are%20always%20coplanar.
" the red and blue lines are perpendicular. Notice that the red line lies on the plane M and also on the plane N, and the blue line only lies on the plane N. Therefore, both lines lie on the plane N. In conclusion, perpendicular lines are always coplanar."
Detailed answer here
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Please give brainliest thanks! Also I quoted it and listed where i took the info so brainly mods. please do not take this down
Parallel lines are always coplanar. Perpendicular lines are always coplanar and, Distance around an unmarked circle can never be measured.
What are parallel and perpendicular lines?Lines in a plane that are consistently spaced apart are known as parallel lines. Parallel lines don't cross each other. Perpendicular lines are those that cross at a straight angle of 90 degrees.
1. Parallel lines are always coplanar.
When two lines are parallel to each other it means that the two lines will never intersect each other and their plane is also the same.
2. Perpendicular lines are always coplanar.
From the definition that two lines will be perpendicular to each other their angle should be 90 degrees or they should intersect at 90 degrees angle to each other.
3. Distance around an unmarked circle can never be measured.
We need to have a marked circle to measure the distance. So, the distance from the centre of the circle to one point of it is the radius. Moreover, the distance between two points of the circle taking a line passing through the centre is the diameter of the circle.
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What is the area of the figure composed of a parallelogram, a square and a rectangle ?
Answer : The area of the figure composed of a parallelogram, a square and a rectangle is 126 in².
Step-by-step explanation :
Area of composed figure = Area of parallelogram + Area of square + Area of rectangle
First we have to calculate the area of parallelogram.
Area of parallelogram = Base × Height
Given:
Base = 10 in
Height = 3.5 in
Area of parallelogram = 10 in × 3.5 in
Area of parallelogram = 35 in²
Now we have to calculate the area of square.
Area of square = (Side)²
Given:
Side = 4 in
Area of square = (4 in)²
Area of square = 16 in²
Now we have to calculate the area of rectangle.
Area of rectangle = Length × Breadth
Given:
Length = 12.5 in
Breadth = 6 in
Area of rectangle = 12.5 in × 6 in
Area of rectangle = 75 in²
Now we have to calculate the composed figure.
Area of composed figure = Area of parallelogram + Area of square + Area of rectangle
Area of composed figure = 35 in² + 16 in² + 75 in²
Area of composed figure = 126 in²
Therefore, the area of the figure composed of a parallelogram, a square and a rectangle is 126 in².
The area of the given figure is 126in²
Composite figuresThe given figure is a composite figure composed of a parallelogram, a square and a rectangle.
Get the area of the square
Area = L²
Area of the square = 4² = 16in²
Area of the rectangle = 6 * 12.5
Area of the rectangle = 75in²
For the parallelogram:
Area of the parallelogram = Base * Height
Area of the parallelogram = 10 * 3.5
Area of the parallelogram = 35 in²
Area of the figure = 75in² + 35in² + 16in²
Area of the figure = 126in²
Hence the area of the figure is 126in²
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Use the diagram below to answer questions 1-6. All rooms are rectangular. 1. What is the value of side A? Explain your thinking. 2. What is the value of side B? Explain your thinking. 3. What is the value of side c? Explain your thinking. 4. What is the area of the vegetable garden? Show your thinking
(5x-3)(9x+2)
5x(9x+2)-3(9x+2)
45x^2+10x-27x-6
45x^2-17x-6
You could also use the FOIL rule to get this answer. The box method is another alternative.
The midpoint of segment CD is M (9, 8). One endpoint is C (5, 15). What are the coordinates of the other endpoint D?
Answer:
Step-by-step explanation:
(5+ x)/2 = 9
5 + x = 18
x = 13 for D
(15 + y)/2 = 8
15 + y= 16
y = 1
(11,1) for D
it is given that 2/3, 8/d and n/39 are equivalent fractions. find the value of d and the value of n
Answer:
d = 12 and n = 26
Step-by-step explanation:
Given that the fractions are equivalent then
[tex]\frac{2}{3}[/tex] = [tex]\frac{8}{d}[/tex] ( cross- multiply )
2d = 24 ( divide both sides by 2 )
d = 12
--------------------------------------
and
[tex]\frac{2}{3}[/tex] = [tex]\frac{n}{39}[/tex] ( cross- multiply )
3n = 78 ( divide both sides by 3 )
n = 26
The fractions represent the same amount or value given that they are
equivalent.
The value of d is 12The value of n is 26Reasons:
Equivalent fractions are fractions that have equal values, therefore;
[tex]\displaystyle \frac{2}{3} = \frac{8}{d} =\frac{n}{39}[/tex]
Which by cross multiplying gives;
2 × d = 8 × 3 = 24
Therefore;
[tex]\displaystyle d = \frac{24}{2} = \mathbf{12}[/tex]
d = 12
Similarly, we have;
[tex]\displaystyle \frac{2}{3} =\frac{n}{39}= \frac{8}{d}[/tex]
Which gives;
2 × 39 = 3 × n
Therefore;
[tex]\displaystyle n = \frac{2 \times 39}{3} = \mathbf{26}[/tex]
n = 26
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Barry's savings account has a balance of $2874. After 9 years, what will the amount of interest be at 5% compounded annually? a. $1589.52 c. $1575.52 b. $1584.52 d. $1437.00 Please select the best answer from the choices provide
Answer:
b. $1584.52
Step-by-step explanation:
To find the answer, first you have to find the amount that you will have after 9 years using the formula to calculate the future value:
F=P*(1+i)^n, where
F= future value
P= present value= $2874
i= interest rate= 5%
n= number of periods of time= 9
Now, you can replace the values in the formula:
F=2874*(1.05)^9
F= 4458.52
Then, as you know the value that you will have after 9 years, you can subtract the initial balance from this, to find the amount of interest:
$4,458.52-$2,874= $1,584.52
According to this, the answer is that the amount of interest at 5% compounded annually would be $1,584.52.
a helicopter is 19 meters above the top of a canyon wall. it goes down 27 meters, passing into the canyon, and then goes up 5 meters. what is the new position of the helicopter relative to the top of the canyon wall?
Answer:
still in canyon by 3 meters
Step-by-step explanation:
10+11+12+13+14+15+16+17+18+18+20
Answer:
164
Step-by-step explanation:
10+11+12+13+14+15+16+17+18+18+20 = 164
Answer:
10+11+12+13+14+15+16+17+18+18+20 = 164
Step-by-step explanation:
In 2009, the life expectancy is about 80 years. Assume that, due to modern advances, life expectancy gains 5.5 years every decade. From 2009, in how many years would humanity achieve a life expectancy of 110 years?
Answer:
60 years
Step-by-step explanation:
2009 -> 80 years
+5.5
2019 -> 85.5 years
+5.5
2029 -> 91 years
+5.5
2039 -> 96.5 years
+5.5
2049 -> 102 years
+5.5
2059 -> 107.5 years
+5.5
2069 -> 113 years
1) -2 x 10 x 4
2) x - 6 = -3
Answer:
1)-80
2)x=3
3)2^7
Step-by-step explanation:
1)-20*4=-80
2)x=-3+6
x=3
3)2*2^3+2^3= 2^7
which expression is equivalent to h+0.67h-0.36h
Answer:
= 1.31h
Step-by-step explanation:
h = 1h
then:
h + 0.67h 0.36h = (1+0.67-9.36)h
= 1.31h
Choose all the fractions that are equivalent to 4/8 A.26 B.1/2 C.3/6 D.8/16 E.7/11 F.5/10
Answer:
B, C, D, F
Step-by-step explanation:
4/8 is equivilant to 1/2 because 4 is half of 8. Therefore, 3 is half of 6 and 8 is half of 16. 7 is half of 14 so 7/11 is not equivilant to 4/8.
Hope I helped.
The exponent on b when b^3 is multiplied by b^3is
3
6
9
[tex]b^3b^3=b^{3+3}=b^{\boxed{6}}[/tex].
Hope this helps.
Solve for t
-1(t + 8) = -7.1
Step-by-step explanation:
15.1 I think sooo but I am not sure which grade level is that looks simple I am 8 grade by the way and I am learning cos sin tan trignometry
whats the answer jh + 1; use h = 4, and j = 4
Answer: 17
Step-by-step explanation: (4)(4)+1=16+1=17
Answer:
The answer is 17
Step-by-step explanation:
what are the solutions of |3x + 2| >9?
Answer
-11/3>x>7/3
Step-by-step explanation:
|3*7/3+2|=9
|7+2|=9
|9|=9
9=9
therefore, x must be > 7/3
|3*-11/3+2|=9
|-11+2|=9
|-9|=9
9=9
therefore, x must be < -11/3
HELP I NEED AN EXPLANATION IM CONFUSED |3x|>-12 is x>−4 or x<4 but I dont know how that is. I thought it was no solution.. can someone explain.
Answer:
see below (I hope this helps!)
Step-by-step explanation:
|3x| > -12
There are two cases, x is either positive (in which |3x| = 3x) or negative (in which |3x| = -3x). Therefore:
3x > -12 or -3x > -12
x > -4 or x < 4 (Remember, multiplying / dividing an inequality by a negative number flips the sign.)
Answer:
All real numbers.
Step-by-step explanation:
So we have the equation:
[tex]|3x|>-12[/tex]
Remove the absolute value bars. Definition of absolute value:
[tex]3x>(-12)\text{ or } 3x<-(-12)[/tex]
Note that we change the sign on the right because we multiplied by a negative.
Divide both sides by 3:
[tex]x>-4\text{ or }x<4[/tex]
Now, look at this inequality. This says that the solution is all the numbers to the right of -4 and all numbers to the left of 4.
I've provided a number line. The red line represents x>-4 and the blue line represents x<4.
As you can see, every value is covered both towards the left and the right.
In other words, our answer is all real numbers.
(-12a^3b^5)/(4a^2b^7)
state any restrictions on the variable(s) if they exist.
PLEASE HELP (30 points)
Answer:
[tex]a\neq 0 \text{ and } b\neq 0[/tex]
Step-by-step explanation:
So we have the rational expression:
[tex]\frac{-12a^3b^5}{4a^2b^7}[/tex]
In rational expressions, the restrictions of the expression would be the zeros of the denominator Therefore, set the denominator equal to zero and solve for its zeros:
[tex]4a^2b^7=0[/tex]
Zero Product Property:
[tex]4a^2=0\text{ or } b^7=0\\[/tex]
Solve for a and b:
[tex]4a^2=0 \text{ or } b^7=0\\a\neq 0 \text{ or }b\neq 0[/tex]
Therefore, the restrictions on the variables are that a and b cannot equal zero.
Simplify to create an equivalent expression. 8−4(−x+5) Choose 1 answer: A 4x−12 B −4x−12 C 4x+13 D 4x+5
Answer:
A (4x-12)
Step-by-step explanation:
Still think of PEMDAS: 8-4(-x=5)
a) Multiply -4(-x + 5)
* -4(-x) = 4x (remember a neg x neg = pos)
* -4(5) = - 20
b) Now it reads = 8 +4x - 20
c) put all like terms together
* 8 - 20 = -12
50B TO BRAINLIEST! (This are INDEPENDENT AND DEPENDENT VARIABLES) F.If you get pulled over for speeding, the ticket will cost $50 for each mile over the speed limit. G.You are starting a garden and already bought the pots for $25. Each flower you buy costs $3.50. H.Your grandmother is knitting you a blanket. She already made the blanket 5 inches long. Each hour she knits, the blanket gets 0.8 inches longer. I.You are washing cars for a fundraiser. You make$10 for each car washed.
Answer:
F: independent: speed; dependent: fine
your fine depends on the speed over the speed limit.
G: independent: pots; dependent: flowers
you already bought the pots. the amount of flowers you buy depends on how many pots you have.
H: independent: time; dependent: length
the time spent knitting is up to the grandmother. the length depends on the time spent knitting.
I: independent: cars washed; dependent: money made
the money you make depends on the amount of cars you wash
Answer:
see below
Step-by-step explanation:
The independent variable is the variable that gets changed and the dependent variable relies on the independent variable
F.If you get pulled over for speeding, the ticket will cost $50 for each mile over the speed limit.
The independent variable is the miles over the speed limit, and the dependent is the cost
The cost relies on the number of miles over the speed limit
G.You are starting a garden and already bought the pots for $25.
Each flower you buy costs $3.50
The independent is the number of flowers purchased, the total cost is the dependent
The cost is dependent on the number of flowers purchased
H.Your grandmother is knitting you a blanket. She already made the blanket 5 inches long. Each hour she knits, the blanket gets 0.8 inches longer.
The independent is the hours knitted, the dependent is the length of the blanket
The length will depend on how long she knits
I.You are washing cars for a fundraiser. You make$10 for each car washed.
The number of cars is the independent variable and the dependent variable is how much money you make
How much you make depends on how many cars you wash
Write an absolute value inequality to represent each situation:
Suppose you used an oven thermometer while baking and discovered that the oven temperature varied between +5 and -5 degrees from the setting. If your oven is set to 350°, let t be the actual temperature.
Answer:
|t - 350| ≤5
Step-by-step explanation:
t be the actual temperature
We want to be within 5 degrees of 350 ( that includes 5 degrees)
|t - 350| ≤5
if you mix 1 cup of chocolate chips and 1 cup of raisins what is the percentage of chocolate chips
Answer:
50%
Step-by-step explanation:
50% because when there is only 2 variables and they are each 1 cup there is an even amount of stuff and when you ask for only one percentage that would be 50% because everything is even. Even if you asked for the percentage for the cup of raisins it would also be 50%. Hope this helps <3
Simplify this expression by distributive property and combining like terms. 8c + 9 (c + 2)
Answer:
17c + 18
Step-by-step explanation:
Distributive property: a(b + c) =a*b +a*c
8c + 9(c +2) = 8c + 9*c + 9*2 {Distributive property}
= 8c + 9c + 18
Combine like terms, her 8c & 9c are like terms
= 17c + 18
30 \div \frac{1}{3} 30÷ 3 1
Answer:
90Step-by-step explanation:
[tex]30 \div \frac{1}{3} \\\\\mathrm{Convert\:element\:to\:fraction}:\quad \:30=\frac{30}{1}\\=\frac{30}{1}\div \frac{1}{3}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\\=\frac{30}{1}\times \frac{3}{1}\\\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=30\times \:3\\\\=90[/tex]
Answer:
90Step-by-step explanation:
[tex]30\div \frac{1}{3}\\\\=\frac{30}{1}\div \frac{1}{3}\\\\=\frac{30}{1}\times \frac{3}{1}\\\\=30\times 3 =90[/tex]
Solve for x: 7x + 7 = 21.
Answer:
2
Step-by-step explanation:
21-7=14
14/7=2
Plz help ASAP WILL MARK YOU BRAINLIST IF UR ANSWER IS CORRECT Question #3
Answer: D
Step-by-step explanation:
A is a function because all quadratics are functions because it shows the graph of a parabola.
B is also a function because it is a quadratic equation
C is a function because it is a linear function
D which I don't know about doesn't looks like it represent a function.
(Picture of question below)
Answer:
Second option
Step-by-step explanation:
x^(3)-4x^(2)-13x-6= (x+1) (3x + 2) (x-3)
Andy watches 10 television shows every week. He watches dramas, comedies, and reality shows. Dramas are 1 hour long, comedies are 30
minutes, and reality shows are 2 hours long. He spends 8 hours watching his shows and watches twice as many comedies as dramas. Which
system of equations could be used to determine how many of each type of show he watches each week?
Оа
b
d+C+r= 8 d + .5€ + 20 = 10 c = 2d
d+C+ r = 10 d + 5c + 2r = 8 d = 20
d+ C + r=10 d + 5c +2r = 8 C= 2d
d+C+ r = 8 d + C + 2r = 10 d = 20
с
d
Submit
Saved at 1:29 pm
Answer:
[tex]d+0.5c+2r=8\\\\ c=2d[/tex]
Step-by-step explanation:
Let d= dramas
c= comedies
r= reality shows
Dramas are 1 hour long, comedies are 30 minutes, and reality shows are 2 hours long.
Total time spent on watching = [tex]1 \times(d) + 0.5 \times (c) +2 \times(r)= d+0.5c+2r[/tex]
[ [tex]30\ minutes=\dfrac{30}{60} \ hours = 0.5 hour \ \ (1 hour = 60\ minutes)[/tex] ]
Since he spent 8 hours for this, that means
[tex]d+0.5c+2r=8[/tex] → First equation
He watches twice as many comedies as dramas.
i.e. [tex]c=2d[/tex] → second equation
So, the system of equations could be used to determine how many of each type of show he watches each week:
[tex]d+0.5c+2r=8\\\\ c=2d[/tex]
As soon as a new car that costs $25,000 $ 25,000 is driven off the lot, it begins to depreciate at a rate of 24.9% 24.9 % annually. About how much money is the car worth after the second year?
Answer:
14,100.03 (just finished a test with this question and got it correct)
The car is worth about $14,100.03 after the second year.
What is the depreciation rate?The depreciation rate is the percentage rate at which an asset is depreciated over its projected useful life.
If a car depreciates at a rate of 24.9% annually, then its value at the end of each year is 75.1% of its value at the beginning of the year (100% - 24.9% = 75.1%).
After the first year, the car's value is:
$25,000 × 0.751 = $18,775.00
After the second year, the car's value is:
$18,775.00 × 0.751 = $14,100.03
Therefore, after the second year, the car is worth about $14,100.03.
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