Answer:
7.2 liters of water must be added to create a 10% bleach solution.
Step-by-step explanation:
18 liters times 14%, or 18 * 0.14, is 2.52. If we want bleach to be 10% of our solution, we can just multiply this number by 10 because 10% times 10 is 100%!! 2.52 * 10 is 25.2. To find how many liters of water you need to add you just find the difference. To do this you subtract your original from your new solution, so 25.2 - 18 = 7.2 liters of water need to be added.
Answer:
7.2 liters of water must be added to create a 10% bleach solution. :)
Step-by-step explanation:
If Tim Cook, CEO of Apple wants to make a list of the employees who are above 40, what process he will use? Option: 1.Data query 2.data sorting 3.data compiling
QUICK What is the solution to this system of equations? 3.2 x + 0.5 y = 4.2. Negative 1.6 x minus 0.5 y = 3.4.
Answer:
The solution is x=4.75 and y = -22
Step-by-step explanation:
To find the solution to the system of equations, we will follow the steps below:
3.2x + 0.5y = 4.2 --------------------------------------------------------------------------(1)
-1.6x -0.5y = 3.4 ----------------------------------------------------------------------------(2)
add equation (1) and equation (2)
1.6x =7.6
Divide both-side of the equation by 1.6 to get the value of x
1.6x /1.6 =7.6/1.6
x =4.75
substitute x = 4.75 into equation (1) and solve for y
3.2(4.75) + 0.5y = 4.2
15.2 + 0.5y = 4.2
subtract 15.2 from both-side of the equation
15.2 - 15.2 + 0.5y = 4.2-15.2
0.5y = -11
Divide both-side of the equation by 0.5
0.5y/0.5 = -11/0.5
y = -22
The solution is x=4.75 and y = -22
Answer
x= 4.75 y=-22
Step-by-step explanation:
got it right on the unit test!!
Find the zeros of the function f(x) = x^3 + 2x^2 -25x - 50 = 0
Answer:
x = -2, x= -5 , x= +5
Step-by-step explanation:
x^3 + 2x^2 -25x - 50 = 0
Factor by grouping
x^3 + 2x^2 -25x - 50 = 0
x^2(x+2) -25( x+2) = 0
(x+2) ( x^2 -25) =0
Using the zero product property
x+2 =0 x^2 -25 =0
x=-2 x^2 = 25
x= -2 Taking the square root of each side
x = ±5
plz help plzzz thank you
Answer:
rectangles
Step-by-step explanation:
convenient to use rectangles for the individual areas because they will combine horizontally and vertically to make larger rectangles with no gaps.
A grocery store has 45% of its carts being used. Which ratio compares the used carts with all the carts that the store has? A. 10:100 B. 45:55 C. 55:100 D. 9:20
Answer:
D
Step-by-step explanation:
45%=[tex]\frac{45}{100}[/tex]
[tex]\frac{45}{100}[/tex] is equal to [tex]\frac{9}{20}[/tex]
so D
HOPE THIS HELPS
Answer: 9:20
Step-by-step explanation:
45% if carts used from the 100%
Ratio will be 45:100 = 9:20
Solve the equation shown below.
1/2x−6=4
x =−4
x=−2
x=10
x=20
Answer:
x = 20
Step-by-step explanation:
→Add 6 to both sides:
[tex]\frac{1}{2} x-6=4[/tex]
[tex]\frac{1}{2} x=10[/tex]
→Multiply both sides by 2:
x = 20
If b = the number of baseballs which algebraic expression represents the phrase below the number of baseballs minus 3 lost during practice
Answer: B
Explanation: Baseballs(b) minus 3 which is b-3
What is the equation of the function that is graphed as line a ? y = - x + 1 y = 3 x - 1 y = 3 x + 1 y = 1/3x - 1
Answer:
The answer is option 2.
Step-by-step explanation:
Given that the equation of a straight line is y = mx + c where m represents gradient and c is the y-intercept which touches the y-axis.
By looking at the graph, we know that it is a positive gradient and it touches -1 at y-axis.
Answer:
y = x - 1is this for calvert homeshcool?Which of these graphs do not represent constant rates of change? Check all that apply.
Answer:
A,D
Step-by-step explanation:
I'm taking the test
The first and the fourth graph do not represent constant rates of change. Hence, option A and option D are correct.
What is a graph?
A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
In the first and the fourth graph the function follows a curved graph because of it, it does not follow linearity. In the second and third graphs, the function follows a linear line, therefore, it shows a constant rate of change.
Hence, option A and option D are correct.
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Can someone help me with this.?
Answer:
Below.
Step-by-step explanation:
To find the answer, you have to compare the two equations:
[tex]y=\frac{1}{10}x+60[/tex] and [tex]y=\frac{1}{5}[/tex]
So first, the graph looks different because the two slopes are different. The first one will be more vertical than the second one.
The second difference is the y - intercepts. The first equation starts at (0, 60) and the second starts at the origin.
Line parallel to y-1=4(x+3) and passes through (4,32)
Answer:
y - 32 = 4(x - 4)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y - 1 = 4(x + 3) ← is in point- slope form
with slope m = 4
Parallel lines have equal slopes.
Using m = 4 and (a, b) = (4, 32), then
y - 32 = 4(x - 4) ← equation of parallel line
When a number is decreased by 5%, the result is 20. What is the original number to the nearest tenth?
Step-by-step explanation:
so round up is b equal a plus 10....
The value of x in 5(8+x)=20
Answer:
x = -4
Step-by-step explanation:
5(8+x)=20
Divide each side by 5
5/5(8+x)=20/5
8+x = 4
Subtract 8 from each side
8+x-8 = 4-8
x = -4
The right answer is -4.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
What is the slope of -2x+ 5y = 10?
Answer:
the rise is 2 and the run is 5
Step-by-step explanation:
2/5
Answer:
Step-by-step explanation:
the slope is = 2/5
the y-intercept = 2
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
(40/3)*pi
Step-by-step explanation:
lets first find the area of the little circle
A=pi*r^2
A=pi*3^2
A=9pi
Now, lets find the area of the big circle
A=pi*r^2
A=pi*(3+4)^2
A=pi*7^2
A=49pi
now lets subtract the area of the little circle from the area of the big circle
49pi-9pi=40pi, now we found the area of the "bagel)
lets find what portion of the bagel is the shaded region
120/360=1/3
now lets multiply the bagel area by the fraction
40pi*(1/3)=
(40/3)*pi or (40*pi)/3
Area of the shaded regions is equal to 7π/3
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: radius of the smaller circle= 3 and larger circle =4 cm
Now A = (θ/360°) × πr2
θ is the sector angle subtended by the arcs at the center (in degrees), r is the radius of the circle. If the subtended angle θ is in radians, the area is given by, A = 1/2 × r² × θ.
Thus we have Area ADBC= 1/2 × 16×2π/3 -1/2×9×2π/3
=16π/3 -3π
=7π/3
Hence, Area of the shaded regions is equal to 7π/3
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Determine the quotient of (7.7x10^-2) divided by (2.2x10^-2
Answer:
3.5 is your answer.
Step-by-step explanation:
(7.7x10^-2) divided by (2.2x10^-2
Just *Divide*
Hope this helps.
: )
Classify the triangle by its angles and by its sides.
Answer:
Acute and Scalene.
Step-by-step explanation:
By definition, an acute triangle is one that has three angles that are less than 90 degrees. This triangle falls under the category.
By definition, a scalene triangle is one that has three sides with different measurements. This triangle falls under the category.
Hope this helps!
14. What's 17/12 as a mixed number?
O A.15/12
O B.1 127
O C.1/12
O D.712
Answer:
A
Step-by-step explanation:
17/12 = 1 5/12
1×12+5=17
Find the missing side. Be sure to show all of your work. Round to the nearest tenth
if necessary
Answer:
x=3.9 approximately
Step-by-step explanation:
Using Pythagorean theorem:
[tex]x^{2} + (5x)^{2} = 20^{2}[/tex]
[tex]x^{2} + 25x^{2} = 400[/tex]
26x^2 =400
x^2 = 15.3846
x=3.9
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometry[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseApplicationStep 1: DefineLet's define what the problem gives us:
We are given a right triangle, indicated by the square box inside the triangle, with side lengths 5x and x and a hypotenuse of 20.We can set these measurements equal to our variables defined above in our Pythagorean Theorem equation:
a = 5xb = xc = 20Step 2: WorkNow, we can substitute our variables and solve for x, which will help us find the side lengths as well:
[Pythagorean Theorem] Substitute in variables:∴ our x approximately equals 3.9.
Now we can use our value of x to solve for the missing triangle lengths:
Length of 5x:
Substitute in x:∴ this particular side length has a length of 19.5.
Length of x:
Substitute in x:∴ this particular side length has a length of 3.9.
Answer∴ the side lengths of this particular triangle are 19.5 and 3.9, respective to their variables 5x and x.
___
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___
Topic: Geometry
Unit: Triangles
helpp me plz
thank you in advance
Answer:
1/4
Step-by-step explanation:
3 and 6 are both multiples of 3, so there is a 2/8 chance of spinning a multiple of 3, which can be simplified to 1/4.
1) A microbiologist measures the length of a bacterium of 0.000163 m and the
length of yeast as 0.0087 mm.
a) Which is longest? (Hint: Both must be the same units)
b) How much longer is the longer specimen than the shorter specimen?
Answer:
a) The bacterium is longer;
b) The bacterium is 0.1543 mm longer than the yeast.
Step-by-step explanation:
In order to compare the length of the two beings we need to convert them to the same unit. We can do it either way, but we'll choose to convert from meters to milimetres, since we're dealing with small numbers. To do that we need to multiply the length that is in "m" by 1000.
[tex]length_{bac} = 0.000163*1000 = 0.163 \text{ mm}[/tex]
a) The bacteria is longer than the yeast.
b) We need to subtract their length in order to find this answer:
[tex]\text{dif} = length_{bac} - length_{yeast}\\\text{dif} = 0.163 - 0.0087 = 0.1543 \text{ mm}[/tex]
a model of a plane is made using a scale of 1:5 if the real length of a plane is 20m what is the length of the model?
Answer:
4
Step-by-step explanation:
you must scale down to size- 1 m in real life = 5 (unit) in the model
20/5= 40
hope this helps :)
Answer:
4m
Step-by-step explanation:
1/5 of 20
what is the square root of 345 to the 9th power
Answer:
[tex](\sqrt[2]{32})^{9}[/tex]=5931641.60152
Step-by-step explanation:
:)
Which of the following is a characteristic of hyperbolic geometry?
A. There are an infinite number of lines parallel to a given line
through a given point.
B. There is exactly one line perpendicular to a given line through a
given point.
C. There is exactly one line parallel to a given line through a given
point.
D. There are an infinite number of lines perpendicular to a given line
through a given point.
Answer:
A
Step-by-step explanation:
Hyperbolic geometry is defined as a non-Euclidean geometry.
(invalidating the fifth postulate of Euclid's five fundamental postulates)
Choice B and D can be eliminated because this has nothing to do with perpendicular lines.
Choice C should be eliminated as well since that's exactly the fifth postulate of Euclid's five fundamental postulates
We are left with A by the process of elimination
Answer:
A. There are an infinite number of lines parallel to a given line through a given point.
Hope this Helps!
(URGENT)Determine the cross product of the vectors: x x y
x x y = (13 i + 4 j - 9 k) x (- i + 7 j - 4 k)
Distribute the cross product:
x x y = 13*(-1) (i x i) + 4*(-1) (j x i) + (-9)*(-1) (k x i)
........... + 13*7 (i x j) + 4*7 (j x j) + (-9)*7 (k x j)
........... + 13*(-4) (i x k) + 4*(-4) (j x k) + (-9)*(-4) (k x k)
x x y = -13 (i x i) - 4 (j x i) + 9 (k x i)
........... + 91 (i x j) + 28 (j x j) - 63 (k x j)
........... - 52 (i x k) - 16 (j x k) + 36 (k x k)
By definition of the cross product, we have
i x i = j x j = k x k = 0
i x j = k
j x k = i
k x i = j
and for any two vectors x and y, the product is anti-symmetric:
x x y = -(y x x)
This makes the products on the "diagonal" vanish, and we can condense terms using the anti-symmetry property:
x x y = (4 + 91) (i x j) + (9 + 52) (k x i) + (63 - 16) (j x k)
x x y = 95 k + 61 j + 47 i
x x y = 47 i + 61 j + 95 k
PLEASE HELP! ITS DUE TODAY!
Answer:
D. Median
Step-by-step explanation:
I say this because is the average of the numbers
solve this proportion x/14 6/21
Answer:
X=4
Step-by-step explanation:
Solution: x equals 4
x/14-(6/21)=0
1. Simplify 2/7
x/14- 2/7 is 0
It’s too much steps
pick a pair of alternate exterior angles
Answer: angles 1 and 7
Applying the translation (x, y) → (x – 3, y + 7) maps the point (–4, 7) onto the point ________. Question 16 options: A) (–7, 14) B) (14, –7) C) (7, –14) D) (14, 7)
Answer:
A
Step-by-step explanation:
(-4-3, 7+7)
(-7, 14)
Answer: A
Step-by-step explanation:
This diagram shows a right cylinder. Recall that the area of
a circle is A = ar?. What is the formula for the volume of
the cylinder?
Answer:
A=Pi x radius x height+2 x pi x radius^2
Step-by-step explanation:
Answer:
Sample answer