Answer:
Step-by-step explanation:
x-y=14
x-1/3y=1/10
-y=14-x
y=-14+x
take out the factors
x-10/30y=3/30
30x-10y=3
substitute
30x-10(-14+x)=3
30x+140-10x=3-140
20x/20=-137/20
x=-6.85
y=-14+(-6.85)
y=-20.85
The two numbers are 143/20 and 423/20.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, the difference between two numbers is 14.
Let the smaller number be x and the larger number be y.
Here, y-x=14 ------------(i)
If 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10.
1/3 of larger number is 1/3 y
x-y/3 =1/10 ------------(ii)
From equation (i), substitute y=14+x in equation (ii), we get
x-(14+x)/3 =1/10
10(3x-14-x)=3
30x-140-10=3
20x-140=3
20x=143
x=143/20
Substitute x=143/20 in equation (i), we get
y-143/20=14
y=14+143/20
y=(280+143)/20
y=423/20
Therefore, the two numbers are 143/20 and 423/20.
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The bottom of the tree is 14 feet away from the house. The tree is 25 feet long. How tall is the house?
Answer:20.7 ft
Step-by-step explanation:
Super Salad Dressing is made with 8\text{ mL}8 mL8, start text, space, m, L, end text of oil for every 3\text{ mL}3 mL3, start text, space, m, L, end text of vinegar.
Which of the following mixtures will taste the same as Super Salad Dressing?
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
80\text{ mL}80 mL80, start text, space, m, L, end text of oil with 30\text { mL}30 mL30, start text, space, m, L, end text of vinegar
(Choice B)
B
3\text{ mL}3 mL3, start text, space, m, L, end text of oil with 8\text { mL}8 mL8, start text, space, m, L, end text of vinegar
(Choice C)
C
56\text{ mL}56 mL56, start text, space, m, L, end text of oil with 21\text { mL}21 mL21, start text, space, m, L, end text of vinegar
(Choice D)
D
40\text{ mL}40 mL40, start text, space, m, L, end text of oil with 25\text { mL}25 mL25, start text, space, m, L, end text of vinegar
(Choice E)
E
48\text{ mL}48 mL48, start text, space, m, L, end text of oil with 18\text { mL}18 mL18, start text, space, m, L, end text of vinegar
Answer: A, C, and E! I just took this on Khan Academy! Please mark me brainliest because it it correct!
4 + 8x = -12
what is X?
Answer:
x=-2
Step-by-step explanation:
4+8x=-12
-4 -4
8x = -16
/8 /8
x = -2
Answer:
X=(-2)
Step-by-step explanation:
8(-2)=(-16)
so -16+4=(-12)
Evaluate the following expression when x = 4 and y = 2.
x²+y3
3
Answer:
24
Step-by-step explanation:
x^2+y^3
(4)^2+(2)^3
(4)(4)+(2)(2)(2)
16+8=24
Sally can paint a room in 9 hours while it takes Steve 5 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer: About 3 hours and 5 minutes to paint the room together.
Step-by-step explanation:
Sally can paint 1/5 of the room in an hour and Steve can paint 1/8 of the room in an hour.
Room/Hour
1/5 ± 1/8 =8/40
8/40+5/40=13/40
How long to paint the room?
13/40 x 1= 40/13
40÷13=3.0777
So the answer will be Sally and Steve can paint the room in about 3 hours and 5 minutes
What is the domain and Range of the piecewise function?
A. All real numbers
B. X<0, X>4
C. -inf < x < -2, 0< x<4, x>4
Answer:
option A all real numbers
Step-by-step explanation:
domain is the all possible "X" values
and X has all real values
All the real numbers of X are domain and range of piecewise function .
What is piecewise function?
A Piecewise Function is a merge of several functions in a single graph. Each function takes a part of the x axis of the graph.
Graph
Domain: The domain of a piecewise-defined function is the union of its subdomains.
Range :The range of a piecewise-defined function is the union of the ranges of each subfunction over its subdomain.
Now,
Straight line graph of x having equation : y = mx + cconstant value of x : x= yexponential curve of x .Thus the domain and range of piecewise function is all real numbers .
Know more about piecewise function,
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Ashton estimates the square root of 50 in the following way: Complete sentences √50= 2√25=2×5=10
Answer:
[tex]\sqrt{50} = \sqrt{2*5*5}= 5\sqrt{2}[/tex]
What is the surface area of this composite solid?
Use 11.3 meters for the slant height of the triangular prism.
Enter your answer in the box.
__m²
Composite made up of a rectangular prism surmounted by a triangular prism. The rectangular prism has dimensions of 16 meters wide by 20 meters long by 12 meters high. The triangular prism has dimensions of 16 meters wide by 20 meters long with a triangular altitude of 8 meters high.
Answer:
1764 m²Step-by-step explanation:
Refer to attached picture.
All given dimensions are given on the picture (not to scale).
Since altitude of the triangle and slant height is given, we can find the base of the triangle using Pythagorean:
[tex]b/2 = \sqrt{11.3^2-8^2} = \sqrt{64} = 8m, \\b = 16 m[/tex]It has 9 faces and the total surface area is:
S = 16*20 + 2(20*12) + 2(20*11.3) + 2(16*12) + 2(1/2*8*16) = 1764 m²Use the distributive property to remove the parentheses. 5(v+6)
Answer:
5 x 6v
Step-by-step explanation:
You move right 2 units and down 7 units. You end at (8, 2). Where did you start?
Answer:
(10,9)
Step-by-step explanation:
Plsss help I will mark brainlist plsss help fast
Answer:
C.
Step-by-step explanation:
The sqrt of -16 is the same as the sqrt of 16 * the sqrt of -1. The sqrt of 16 is 4, and the sqrt of -1 is i. Multiply the two to get 4i.
how many sixths are in 2 5/6?
Answer:
Respuesta. el resultado (17) va ser el numerdaor de la fraccion y el denominador se mantiene.
Step-by-step explanation:
Find the distance d. Round your answer to the nearest tenth. Show all your work. Thanksss!
Answer: the distance for d is about 5.8 units
Step-by-step explanation:
Use the pythagorean theorem. a^2 + b^2+= c^2 . in this case, c^2 is the distance for d.
5^2 + 3^2= d^2
25+9= d^2
34= d^2
square both sides and d is approximately 5.818
Johnny picked 3 pounds of strawberries. That afternoon, Johnny's sister ate 2/3 of the strawberries. How many pounds of strawberries did Johnny's sister eat?
Answer:
She ate 2 pounds
Step-by-step explanation:
(how do you eat 2 pounds of strawberries like what)
I need this pleaseeee
Answer:
2(√17b³ )c⁵
Step-by-step explanation:
We are to simplify the expression given below
√68b³c¹⁰
Simplifying 68
= √(17 × 4)b³c¹⁰
Hence
= 2√17b³c¹⁰
= 2 √17b³ × √c¹⁰
= 2 √17b³ × c¹⁰/²
= 2(√17b³ )c⁵
Johnny took a math quiz last week. He got 9 problems correct and 11 problems incorrect. What percentage did Johnny get correct?
Answer:
The answer is 45%
Step-by-step explanation:
9+11=20
9/20
=4.5/10
=45/100
=45%
I need help with this!!
My brain operates on one brain cell I need help
how many 1/2 cups are needed to fill the gap in this prism
A. 2
B. 4
C. 6
D. 8
have a great day!♡
Answer:
I don't know what prism. once you see this put it in the description of this
Step-by-step explanation:
ifa = 2 and b = 3, which is the value of 4a3b2, O A. 100 OB. 144 OC. 288 D. 4608 E. 31104
Answer:
144
Step-by-step explanation:
The simplified equation would be 4x2x3x3x2 and that put into a calculator is 144
AB= please answer :)
Answer:
8.77 or 8.80
Step-by-step explanation:
sin (20) = 3/x
x (sin)20)) = 3
divide by sin(20)
x= 8.77 or 8.8
Use the terms free fall, gravitational acceleration, air resistance and
terminal velocity to explain:
1. why whether a wing suit pilot is in free fall or not, and
2. how a parachute allows him/her to land on the ground safely.
Write a few sentences here:
Answer:
1. A wingsuit pilot is not in freefall.
2. The parachute increases air resistance, decreasing the pilot's acceleration, thus decreasing terminal velocity and allowing the pilot to land safely.
Step-by-step explanation:
1. An object is in freefall when the only force acting on it is the force of gravity. An object does not necessarily need to moving at a certain speed to be in freefall. Because the wingsuit pilot's wingsuit creates a heavy amount of air resistance, the force of gravity is not the only force acting on the object. Therefore, the object is not in freefall.
2. By increasing the surface area or cross-section perpendicular to the force of gravity, the parachute creates a heavy amount of air resistance. Since air resistance acts opposite in direction to the force of gravity, the pilot will have a lower terminal velocity and will reach the ground at a dramatically lower speed, thus allowing them to land safely.
A rectangular rug feet long and wide feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20
Complete Question
A rectangular rug feet is x ft long and y feet wide with a perimeter of 60 ft both X and Y are whole numbers between 10 and 20. Fill in the blanks to complete the sentence. The Area of the rug is greater than___but less than__.
Answer:
he Area of the rug is greater than but less than [tex]441ft[/tex]
Step-by-step explanation:
From the question we are told that:
Perimeter [tex]P=60ft[/tex]
Value Range:Between 10-20
Generally the Area of the rug is greater than for values of X and Y greater than 9
Therefore Area is greater than from whole number 9
Generally the equation for Area greater than [tex]A_g[/tex] is mathematically given by
[tex]A_l=X*Y[/tex]
Where
[tex]X=9\\Y=9[/tex]
Therefore
[tex]A_l=X*Y[/tex]
[tex]A_l=9*9[/tex]
[tex]A_l=81ft[/tex]
Generally the Area of the rug is less than for values of X and Y less than 21
Therefore Area is less than from whole number 21
Generally the equation for Area greater than A_l is mathematically given by
[tex]A_g=X*Y[/tex]
Where
[tex]X=21\\Y=21[/tex]
Therefore
[tex]A_g=X*Y[/tex]
[tex]A_g=21*21[/tex]
[tex]A_g=441ft[/tex]
$3 subtracted from the cost of the book
Answer:
x = 11 explanation : " $3 subtracted from the cost of the book just number 8! " As an equation this would be : x - 3 = 8 SOLVE x - 3 = 8 + 3 + 3 x = 11 KEY x = cost of book
hope it helps
(find the value of x from the given
figures.)
F
a)
120
3
solo
Answer:
sorry,
can u repost yr question with figure plz
stay safe healthy and happy.Select the correct answer.
Which statement is true about this equation?
-9(x+ 3) + 12 = -3(2x + 5) - 3x
OA
The equation has one solution, x= 1.
OB.
The equation has one solution, x= 0.
O C.
The equation has no solution.
OD. The equation has infinitely many solutions.
When a graph is symmetric about the origin, it is an function.
When a graph is symmetric about the y-axis, it is an function.
A function is considered if f(-x) =
f(x), and it is considered
=
if f(-x) = -f(x).
Answer:
odd; even; even; odd
Step-by-step explanation:
The answers are odd, even, even, and odd respectively the graph is symmetric about the y axis it is an even function.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We know when the graph is symmetric about the origin it is an off function.
When the graph is symmetric about the y axis it is an even function.
When f(-x) = f(x) it is an even function
When f(-x) = -f(x) it is an odd function.
Thus, the answers are odd, even, even, and odd respectively the graph is symmetric about the y axis it is an even function.
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640 divided by 16= 16 divided by 16 =1
A rectangular swimming pool has a volume of 16,320 cubic feet, a depth of 8 feet, and a length of 85 feet. What is the width of the swimming pool?
a) 24 ft
b) 48 ft
c) 192 ft
d) 2040 ft
he dot plot below shows how many days this week students in 6th grade had a Poptart for breakfast.
Which statement about the data is true?
A.
The range is 8.
B.
The mode is 3.
C.
There is a gap from 5 to 7.
D.
The median is 2.
Answer:
letter c
im not sure and i hope this is helpful