On solving the linear system, for the value of y = 15, the value of x is 200. The correct option is D.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The linear equation is shown below.
[tex]\rm \dfrac{1}{5}x - \dfrac{2}{3}y = 30[/tex]
The equation can be written as
[tex]\rm 3x - 10y = 450\\[/tex]
For y = 15, the value of x will be.
[tex]\begin{aligned} \rm 3x - 10*15 &= 450\\\\\rm 3x - 150 &= 450 \\\\\rm 3x &= 600\\\\\rm x &= 200\\\end{aligned}[/tex]
The value of x is 200.
Thus, option D is correct.
More about the linear system link is given below.
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Jackie practices her ballet every day,even on the weekends,for half an hour.how many hours does she practice in a week?
pls help me solve this pls
Answer:
no solution
Step-by-step explanation:
absolute value cant be negative
What is the value of x if m ∠ 5 = 10x + 5 and m ∠ 3 = 8x - 5
Answer:
x = 10
Step-by-step explanation:
∠ 5 and ∠ 3 are same- side interior angles and sum to 180° , that is
10x + 5 + 8x - 5 = 180 , so
18x = 180 ( divide both sides by 18 )
x = 10
Does the system of equations have no solution, one solution, or an infinite number of solutions? −5x+y=−1−5x+y=10
Answer:
5x-y=9, y=5x+19 write both equations in same formy=5x-9 for the first and havey=5x+19 for the second. These are two parallel lines with different intercepts. They do not intersect or coincide. No solutions
and y=6x+14, 12x-2y=-28 write both equations in same formy=6x+142y=12x+28 or y=6x+14. They are the same line. The solution is all of the points on the line.
Step-by-step explanation:
I hope it will help you have a great day bye and Mark brainlist if the answer is correct I am sorry if the answer is worng
[tex]kai6417[/tex]
#carry on learning
Answer:
Step-by-step explanation:
Are these the two equations?
−5x+y=−1
−5x+y=10
=====
Put them into slope-intercept form of y = mx + b
−5x+y=−1
y = 5x - 1
−5x+y=10
y = 5x + 10
Both have a slope of 5, so they will not intersect. This means there are no solutions.
See attached graph.
suppose Yolanda places $2,500 in an account that pays 8% interest compounded each year assume that no withdrawals are made from that account follow the instructions below do not do any rounding
Answer:2,127.33
Step-by-step explanation:
Shade 9/50.
please help thank you
Determine domain of the graph
Answer: -7 less than or equal to x less than or equal to 5
Step-by-step explanation:
It start at -7 and end at 5 which is the x axis
The length of the base of a triangle is twice its
perpendicular height. If its area is 36 cm2, find
its length and perpendicular height.
Answer: height = 6, length = 12
Step-by-step explanation:
Let the length of the height = x.
Then, the length of the base = 2x
The formula for the area of a triangle is base*height/2, which equals 36 in this case.
Therefore, x*2x/2 = 36
x^2 = 36
x = 6, 2x = 12
Thus, the height = 6 and then length = 12
find the value for x in the following image
[tex] \\ [/tex]
value of x.[tex] \\ [/tex]
Solution:[tex] \\ [/tex]
⇢ x + 70° = 110°
Reason {
VOC (Vertically opposite angles).
What is VOC?
Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines}
[tex] \\ [/tex]
⇢ x = 110° - 70°
[tex] \\ [/tex]
⇢ x = 40°
[tex] \\ [/tex]
Vertication:[tex] \\ [/tex]
⇢ x + 70° = 110°
put value of x
[tex] \\ [/tex]
⇢ (40°) + 70° = 110°
[tex] \\ [/tex]
⇢ 110 ° = 110°
[tex] \\ [/tex]
LHS = RHShence it is verified that value of x is 40°
Answer:
x = 40°Step-by-step explanation:
In the question we arw given with three angles that are z
Angle 1 = x°Angle 2 = 70°Angle 3 = 110°( Angle 1 , Angle 2 or Angle 3 aren't given in Question , we are just giving names for given angle . So that there's ease on explanation )
And we have asked to find th value of angle 1 i.e. x .
Solution : -
As we can see in the question that ,
Angle 1 + Angle 2 = Angle 3 ( Vertically Opposite Angles )Vertically Opposite Angles : -
When two lines intersect each other then the two angles formed by them at a specific point are equal .
[tex] \longmapsto x° + 70° = 110°[/tex]
Subtracting 70 from both sides :
[tex]\longmapsto x° + \cancel{70° }- \cancel{70° }= 110° - 70°[/tex]
On further calculation :
[tex] \longmapsto \purple{ \boxed{ \mathfrak{ x° = 40 {°} }}}[/tex]
Therefore , value of x is 40° .Verification : -
We are verifying our answer by substituting value of x . So ,
x + 70° = 110°40° + 70° = 110°110° = 110°L.H.S = R.H.SHence , Verified .Therefore, our value for x is correct
Can someone please help answer this question :)
Answer:
4 - [tex]\sqrt{6}[/tex]
Step-by-step explanation:
Rationalise the denominator by multiplying the numerator and denominator by the conjugate of the denominator.
the conjugate of 4 + [tex]\sqrt{6}[/tex] is 4 - [tex]\sqrt{6}[/tex] , then
= [tex]\frac{10(4-\sqrt{6}) }{(4+\sqrt{6})(4-\sqrt{6}) }[/tex] ← expand denominator using FOIL
= [tex]\frac{40-10\sqrt{6} }{16-6}[/tex]
= [tex]\frac{40-10\sqrt{6} }{10}[/tex] ( divide terms on numerator/ denominator by 10 )
= 4 - [tex]\sqrt{6}[/tex]
The table below shows how much Joe earns, y, after working x hours.
Joe’s Earnings
Hours worked
Money earned
4
$30
10
$75
12
$90
22
$165
The relationship between money earned and hours worked is linear. Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75). How do the two slopes compare?
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.
The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the y-axis.
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
The slope between (4, 30) and (12, 90) is less because 4 is a factor of 12 and 30 is a factor of 90.
At which store is the cost of apples the least?
A
B
C
D
Answer 10
Step-by-step explanation:
Answer:
A. The slope between (4, 30) and (12, 90) is greater because the ordered pairs are farther apart on the x-axis.
Step-by-step explanation:
no explanation just right
Can someone check this please!?
Answer:
Yes it is correct
Step-by-step explanation:
Which equation matches the line from the graph?
Answer:
y = 2x - 3
Step-by-step explanation:
use the graph to find another point, and then calculate the slope. you can also use the graph to find the y-intercept, and then use the slope you just found to put the equation in slope-intercept form.
hope this helps :)
Answer: y = 2x - 3
Step-by-step explanation:
What is the additive inverse of -96
15. Find M /_ B.
C
(5x + 18)
B
(8x + 7)
D
(10x + 13)
A
(14x - 11)
Answer:
B = 79°
Step-by-step explanation:
The sum of interior angles of a quadrilateral is 360°.
(14x -11)° +(8x +7)° +(5x +18)° +(10x +13)° = 360°
37x +27 = 360 . . . . . . divide by °, collect terms
37x = 333 . . . . . . . . subtract 27
x = 9 . . . . . . . . . . . divide by 37
The measure of angle B is ...
B = (8x +7)° = ((8)(9) +7)°
B = 79°
_____
Additional comment
The other angles are ...
A = 115°, C = 63°, D = 103°
if the image of point P(3,5) is (9,3) when translated by T(a,b) , find the value of a and b.
Step-by-step explanation:
this is the answer of your question..........
Nisha is looking out the window of her apartment building at a sculpture in a park across the street. The top of Nisha's window is 60 feet from the ground. The angle of depression from the top of Nisha's window to the bottom of the sculpture is 25°. How far away from the building is the sculpture? Round your answer to the nearest hundredth. 25. 36 feet 27. 98 feet 100. 22 feet 128. 67 feet.
Angle of depression is the angle from horizontal line to the line of sight. The distance from building of the sculpture is: Option d: 128. 67 feet.
What is angle of depression?You look straight parallel to ground. But when you have to watch something down, then you take your sight up by moving your head down. The angle from horizontal to the point where you stopped your head is called angle of depression.
For the given case, referring to the figure, we have:
Length of BC = |BC| = 60 ft.
Length of AB = |AB| = x ft (distance of sculpture from building horizontally).
∠CAB = 25°
Thus, using tangent ratio from point of view of ∠CAB, we get:
[tex]\tan(25^\circ) = \dfrac{|BC|}{|AB|} = \dfrac{60}{x}\\\\x = \dfrac{60}{tan(25^\circ)} \approx 128.67 \: \rm ft[/tex]
(value of tan25° was calculated from calculator available online)
Thus,
The distance from building of the sculpture is: Option d: 128. 67 feet.
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Answer: D:128.68
Step-by-step explanation:
i got it write on my test .
please help IN 5-10 mins 15 points
Answer:
C, D and E
Step-by-step explanation:
volume of prism = W x L x H
where W = width, L = length and H = height
Volumes
Prism A: 5 x 6 x 4 = 120 cm³
Prism B: 4 x 8 x 3 = 96 cm³
Prism C: 3 x 7 x 5 = 105 cm³
True statements
C. Prism B has the least volume
D. The volume of prism A is 120 cubic centimeters
E. The volume of prism C is less than the volume of prism A
[tex]\text{volume}=4\times5\times6=120cm^3[/tex]
Prism B[tex]\text{volume}=3\times8\times4=96cm^3[/tex]
Prism C[tex]\text{volume}=5\times7\times3=105cm^3[/tex]
A. - incorrect
B. - incorrect
C. - correct
D. - correct
E. - correct
Answer: CDE
Translate the sentence into an inequality.
A number c divided by 8 is greater than or equal to 26.
Answer:
c÷8≥26
Step-by-step explanation:
Hope this helps.
need help on this question.
Answer:
Choose A I know this cause I'm smart
The measure of angle t is 60 degrees. What is the x-coordinate of the point where the terminal side intersects the unit circle? One-half StartFraction StartRoot 2 EndRoot Over 2 EndFraction StartFraction StartRoot 3 EndRoot OVer 2 EndFraction
Answer:
(a) 1/2
Step-by-step explanation:
The coordinates of the point of intersection of the terminal side of angle α with the unit circle are ...
(x, y) = (cos(α), sin(α))
When α = 60°, the x-coordinate of the terminal point is cos(60°) = 1/2.
The LCM of two numbers is the product of the two numbers. Discuss
Answer:
Sometimes, not always.
Step-by-step explanation:
The LCM is the lowest common number between 2 numbers, sometimes it can represent the product of the 2 numbers, but sometimes it doesn't.
2 Examples:
2: 2, 4, 6, 8, 10.
3: 3, 6, 9, 12, 15.
6 is the least common multiple of 2 and 3 and it does represent the product between both numbers.
17: 17, 34, 51, 68, 85.
34: 34, 68, 102, 136, 170.
34 is the least common multiple of 17 and 34 and it does not represent the product between both numbers, the product is represented as 578.
We can prove that sometimes the LCM is the product between 2 numbers, and sometimes not.
The sum of two numbers is 2715. The bigger number is 4 times as much as the smaller number. What is twice of the smaller number?
Answer:
1086
Step-by-step explanation:
let 4x=bigger number x=smaller number
4x+x=2715
5x=2715
5x/5=2715/5
x=543 (smaller number)
4x=4(543)=2172 (bigger number)
so
2172+543=2715
then
What is TWICE of the smaller number?
543*2=1086
Pizzas are eaten at a party each pizza is cut into 8 slices 42 slices are taken write the proportion of the pizza as
Answer:
uh uhmmmm
Step-by-step explanation:
Admissions to a zoo cost $12 for adults and $8 for children. A group of 34 people attending the zoo paid a
total of $312 in admission fees.
(a) Write and solve a system of equations that model the problem. Show all your work
(b) How many adults went to the zoo?
(c) How many children went to the zoo?
Answer:
Hey there mate !
Check my attached image for answer.
Have a great day!
The equations are x + y = 34 and 12x + 8y = 312. The number of adults and children will be 10 and 24, respectively.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
Let 'x' and 'y' be the number of adults and children, respectively. Then the equation is given as,
x + y = 34 ...1
12x + 8y = 312 ...2
From equations 1 and 2, then we have
12x + 8(34 - x) = 312
12x + 272 - 8x = 312
4x = 40
x = 10
The value of 'y' is calculated as,
10 + y = 34
y = 24
More about the solution of the equation link is given below.
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What is the center of a circle represented by the equation (x−5)2 (y 6)2=42? (−6,5) (−5,6) (5,−6) (6,−5).
The center of the circle is (5, -6). Option C shows the center of the circle.
What is a circle?
A circle can be defined as the set of all points in the plane that are a fixed distance from a fixed point on the plane.
Given that the equation of the circle is,
[tex](x-5)^2+(y+6)^2=42[/tex]
We know that the general form of the equation of the circle is,
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
Where h, k is the center of the circle and r is the radius of the circle.
Compare the given equation with the general form of the equation, we get,
[tex](x-h) = (x-5)[/tex] and [tex](y-k) = (y+6)[/tex] and [tex]r^2 = 42[/tex]
For x-axis,
[tex](x-h) =(x-5)[/tex]
[tex]h = 5[/tex]
For y-axis,
[tex](y-k) = (y+6)[/tex]
[tex]k = -6[/tex]
Hence we can conclude that the center of the circle is (5, -6). Option C shows the center of the circle.
To know more about the equation of the circle, follow the link given below.
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Answer: C
Step-by-step explanation:
right on edge
pls help with full calculation
Answer:
a) 80%
b) 20%
90 plus 70 divided by 200 x 100
The employees of a company were surveyed on questions regarding their educational background (college degree or no college degree) and marital status (single or married). Of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates. The probability that an employee of the company is single or has a college degree is: Select one: A. 0.10 B. 0.667 C. 0.733 D. 0.25
Probabilities are used to determine the chances of events
The probability that an employee of the company is single or has a college degree is 0.733
How to determine the probabilityThe given parameters are:
n = 600 --- the number of employees
College graduate = 400
Single graduate = 100
Single and college graduate = 60
The number of people that are college graduate or single are:
n(Single or college graduate) = 400 + 100 - 60
Evaluate
n(Single or college graduate) = 440
The probability is then calculated as:
p = 440/600
Evaluate the quotient
p = 0.733
Hence, the probability that an employee of the company is single or has a college degree is 0.733
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There is a pole located in a garden. The pole’s base is 4.5 feet west and
5.1 feet north of a brick that marks the entrance of the garden. A bird is
sitting on top of the pole. If the pole is 6 feet tall, approximately how far
is the bird from the brick that marks the entrance of the garden?
A. 6.8 feet
B. 7.5 feet
C. 7.9 feet
D. 9.1 feet
The distance between the bird and the brick is 7.5 feet. Hence the correct answer is B. It is to be noted that the question is an exercise relating to solving the sides of a right-angled triangle.
What is the formula for finding the sides of a right-angled triangle?
The formulas for finding the sides of a right-angled triangle are:
For Side A, a = [tex]\sqrt{ (c^{2} - b^{2} })[/tex]
For Side B, b = [tex]\sqrt{ (c^{2} - a^{2} })[/tex]
For Side C, c = [tex]\sqrt{ (a^{2} + b^{2} })[/tex]
In this case, base - b has been given as 4.5 feet;
the height - a of the pole has been given as 6 feet. Note that the portion due west is a trick addition that is irrelevant to the solution.
Hence, c is equaled: [tex]\sqrt{ (6^{2} + 4.5^{2} })[/tex]
= [tex]\sqrt{ ( 36+ 20.25 })[/tex]
= [tex]\sqrt{56.25}[/tex]
= 7.5 Feet.
See the link below for more about sides of a rectangle:
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i need an answer , i've put the pic down
Answer:
D. g(x) = (3/2)(3^x)
Step-by-step explanation:
"Dilation" means the function is multiplied by some value. The y-intercept of f(x) is 3^0 = 1. We notice the y-intercept of g(x) is greater than 1, so the multiplier must be greater than 1.
The only such choice is ...
g(x) = 3/2(3^x) . . . . . choice D
__
Additional comment
g(1) is not 4.5 for choices A and B, so those can be eliminated. g(0) is not 3/2 for choice C, so that can be eliminated.