The equation of variation for the given situation is y = 5x.
Direct ProportionIn mathematics, a direct proportion is a comparison of two integers where the ratio of the two numbers equals a constant value. According to the concept of proportion, two ratios are in proportion when they are equal.
If a varies directly to b then the relation between them can represent as
=> a ∝ b
=> a = kb [ where 'k' is proportionality constant]
Here we have
y varies directly as x, this can be shown as
=> y ∝ x
=> y = kx ---- (1) [ Where 'k' is proportionality constant ]
Given that y = 0.1 and x = 0.5
Substitute the above values in (1)
=> 0.1 = k(0.5)
=> k = 0.5/ 0.1
=> k = 5
(1) => y = 5x
Therefore,
The equation of variation for the given situation is y = 5x.
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Solve the following quadratic equations using factoring.
a. x2 + 10x + 24 = 0
Answer:
x = - 6, x = - 4
Step-by-step explanation:
Given
x² + 10x + 24 = 0 ← in standard form
(x + 6)(x + 4) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x + 4 = 0 ⇒ x = - 4
A system of liner equation has been graphed in the diagram. Determine a responsible solution for the system of equation.
Van kept track of the number of hours that he spent at the
pool each week for several weeks. He spent 6, 2, 6, 3, and
3 hours.
What is the mean number of hours that Van spent at the pool each week?
A. 20 hours
B. 4 hours
C. 3 hours
D. 5 hours
Answer:
B. 4 hours
Step-by-step explanation:
add every number up
6+2+6+3+3= 20
then divide by the number of numbers you used to add with.
20÷5=4
4 hours
What is 30326.4 rounded to the nearest tenth?
Answer:
30326.4 rounded to the nearest tenth is 30326.4
Step-by-step explanation:
There is no hundredth to change the .4 it is already good as it is.
.Distribute and combine like terms: −4(7r + 7)
Answer:
−28r−28
Step-by-step explanation:
−4(7r+7)
=(−4)(7r+7)
=(−4)(7r)+(−4)(7)
3x+5y=27.50 & 6x+3y=27
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Answer:
what do u want me to do withthis question
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Step-by-step explanation:
1. Determine the lateral and total surface
area of the pyramid.
(I need full explanation on how to solve
Answer:
Laterial surface area: 73 cm²Total surface area: 93 cm²Step-by-step explanation:
The laterial surface area is the sum of the areas of the triangles. There are two triangles with dimensions: base = 4 cm, height = 8cm and two triangles with dimensions: base = 5cm, height = 8.2cm.
The laterial surface area LSA is:
LSA = 2 • ( 4.8/2) + 2 • ( 5 • 8.2/2)
LSA = 4 • 8 + 5 • 8.2
LSA = 73 cm²
The total surface area SA is the LSA plus the area of the base of the pyramid, which is a rectangle with dimensions: 4cm x 5cm:
SA = LSA + 4 • 5
SA = 73 cm + 20 cm²
SA = 93 cm²
5) Write the 5 number summary and draw a box and whisker plot.
58, 67, 44, 72,51, 42, 60, 46, 69
Answer:
Mean: 56.55
Median: 58
Minimum: 42
Maximum: 72
Q1: 45
Q2: 58
Q3: 68
IQR: 23
Range: 30
Which is the vertex point of the equation y = (x - 1)2 - 16
Answer:
The vertex is at (h, k), which here is (1, -16).
Step-by-step explanation:
Compare the given y = (x - 1)2 - 16 (which should be y = (x - 1)^2 - 16 )
to y = (x - h)^2 - 16.
We can readily see that h = 1 and k = -16.
The vertex is at (h, k), which here is (1, -16).
What is the angle relationship?
Answer:
z = 15 degrees, 5z = 75 degrees
Step-by-step explanation:
AYB is 180 degrees
CYD is 90
so the two missing angles sum to 180 - 90 = 90
z + 5z = 90
6z = 90
z = 15
5z = 75
Match the description to the appropriate term.
internal energy
heat
thermal energy
Answer:
I got all right. Thanks.... ❤️
Rewrite the function in standard form.
f(x) = 4(x - 2)^2+ 3
Answer:
f(x) = 4x^2 - 13
Step-by-step explanation:
f(x)=4(x-2)^2 + 3 parentaties first
f(x) = 4 (x^2 - 4)+ 3 multiply by what's infront parentaties
f(x) = 4x^2 - 16 + 3 combine light terms
f(x) = 4x^2 - 13 Answer
Hope I helped :)
NO LINKS PLEASE HELP A bag containing 35 marbles has red and green marbles. If the ratio of green marbles to red marbles is 2 to 5, how many green marbles are in the bag
O 25
O 14
21
10
PLEASE HELP GEOMETRY !!!!!
Answer:
x = 11.5
Step-by-step explanation:
[tex] \sin \: 35 \degree = \frac{x}{20} \\ \\ x = 20 \sin \: 35 \degree \\ \\ x = 11.471528727 \\ \\ x = 11.5[/tex]
the question is find the product of -8 and the sum of -2(10x + 3y) and -5(6y -7x)
Answer:
Step-by-step explanation:
-2(10x + 3y)
-20x -6y [-2 multiplied by 10x = 20x, negative + positive = negative]
-5(6y -7x)
-30y + 35x
-20x -6y -30y +35x
35x - 20x -30y -6y
15x - 36y
Answer = 15x -36y
Answer:
- 120x + 288y
Step-by-step explanation:
Begin by summing the 2 expressions
- 2(10x + 3y) - 5(6y - 7x) ← distribute parenthesis
= - 20x - 6y - 30y + 35x ← collect like terms
= 15x - 36y
Now multiply the result by - 8
- 8(15x - 36y) ← distribute
= - 120x + 288y
[tex](\frac{v^2-49}{20v^3} )(\frac{4v^2-24v}{v^2+v-42} )[/tex]
I will give brainiest to answer with explanation.
Correct answer is
[tex]\frac{v-7}{5v^2}[/tex]
9514 1404 393
Answer:
(v -7)/(5v^2)
Step-by-step explanation:
Cancel common factors from numerator and denominator.
[tex]\dfrac{v^2-49}{20v^3}\times\dfrac{4v^2-24v}{v^2+v-42}=\dfrac{4}{20}\cdot\dfrac{(v-7)(v+7)(v)(v-6)}{v^3(v+7)(v-6)}\\\\=\dfrac{1}{5}\cdot\dfrac{v-7}{v^2}\cdot\dfrac{v(v+7)(v-6)}{v(v+7)(v-6)}=\boxed{\dfrac{v-7}{5v^2}}[/tex]
An iphone costs $1000 and is on sale for 20% off
can any body help me with Factoring
Answer:
Sure I would love to help you with factoring
Mark my answer as brainliest and I shall help you
what two number multiply to 24 and add to -11
Answer:
8 and 3
Step-by-step explanation:
Brainliest Please
Answer:
One example is x = -8, y = -3
Step-by-step explanation:
Lets make a system of equations.
Let x be the first number and y be the second.
x * y = 24
x + y = -11
Solve for x and substitute.
x = 24/y
24/y + y = -11
24 + y^2 = -11y
y^2 + 11y + 24 = 0
Factor.
(y + 8)(y+3) = 0
So one example is x = -8, y = -3
HELP ASAP!! A recipe calls for 2.3 cup of milk. if you make 3 1/2 times the recipe, how much milk do you need?
The graph of a quadratic function is shown below
Which statement about this graph is not true?
aThe graph has an axis of symmetry at x=-3
bThe graph has a y-intercept at (0,0)
cThe graph has a maximum point at (-3,-3)
dThe graph has an x-intercept at (-6,0)
Answer:
c, the graph has a maximum point at (-3,-3)
What is the volume of this rectangular prism?
Jasper built a dollhouse for his younger sister.
A rectangular prism has a length of 24 inches, width of 8 inches, and height of 10 inches. A triangular prism has a triangular base of 24 inches and height of 6 inches. The height of the prism is 8 inches.
Which equation shows how to determine the volume of the dollhouse?
V = 24 (10) (8) + one-half (6) (24) (8)
V = 24 (10) (8) + one-third (6) (24) (8)
V = 24 (10) (8) + one-half (6) (24) (10)
V = 24 (10) (8) + one-third (6) (24) (10)
Answer:
It's A :)
Also can i please have brainliest :)
Answer:
A
Step-by-step explanation:
please help me find the missing angles for each problem
Answer:
1) L1 = 123
L3 = 57
2) L1 = 49
L3 = 131
3) L2 = 116
L4 = 64
4) L1 = 108
L2 = 72
5) L3 = 69
L4 = 111
6) L3 = 124
L4 = 56
What angles are congruent and opposite each other when lines intersect
Answer:
Vertical angles.
Step-by-step explanation:
find the value of each variables
Answer:
X=11
y=22
Step-by-step explanation:
[tex]tan60\frac{11\sqrt{3} }{x} \\\\\sqrt{3} =\frac{11\sqrt{3} }{x} \\\\x=\frac{11\sqrt{3} }{\sqrt{3} }[/tex]
⇒x=11
[tex]Sib 60=\frac{11\sqrt{3} }{y} \\\\\frac{\sqrt{3} }{2} =\frac{11\sqrt{3} }{y} \\\\y=\frac{11\sqrt{3} }{\sqrt{\frac{3}{2} } }[/tex]
⇒ y=22
hope it helps....
PLEASE HELPP ILL GIVE BRAINLIEST
help plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
Answer:
The second box is the answer
Step-by-step explanation:
Solution
V=whl=5·5·5=125
. Find the sum of the infinite series, if it exists.
-270+135-67.5+⋯
Answer:
-180
Step-by-step explanation:
135/-270 = -1/2
67.5/135 = -1/2
The series is an infinite geometric series with r = -1/2
Since -1 < |r| < 1, the series has a sum
and equals a/(1 - r) a = -270
S = a/(1 - r) = -270/(1 + 1/2) = -270/(3/2) = -180
find a single discount equivalent to two successive discount of 20% and 5%
Answer:
Let the marked price =Rs100
After a discount of 20%, the price = 100−20% of100 = 100−10020×100 = 100−20=80
After a further discount of 5%, price = 80−5% of80 = 80−1005×80 = 80−4 = Rs76
Final Selling = Rs76
Total Discount = 100−76=Rs24
Thus, discount % = 10024×100 = 24%
A triangle has vertices at A(-6, -3).
B(1,5), and C(4. -4). The triangle is
dilated according to the
transformation below. The center of
dilation is the origin.
(x, y) → (2x, 2y)
What are the vertices of the image of
the triangle?
Answer:
I ca
Step-by-step explanation:
can't type so the first one.