Answer:
5
Step-by-step explanation:
y ∝ x
y = k times x
where 'k' is constant
substitute y for -7 and x for -28
-7 = k times -28
-7 = -28k
Divide through by -28
[tex]\frac{-7}{-28}[/tex] = [tex]\frac{-28k}{-28}[/tex]
= [tex]\frac{1}{4}[/tex] =k
formula y = [tex]\frac{1}{4}[/tex] times x
y = [tex]\frac{1}{4}[/tex] times 20
y = 5
By using the proportionality relation, at x = 20 the value of y will be 5.
Calculations for the value of y from the proportional relation:
Given in the question → y ∝ x
y = kx
Here, k = Proportionaility constant
It's given, when x = -28, value of y = -7
By substituting these values in the expression,
-7 = k(-28)
[tex]k=\frac{-7}{-28}[/tex]
k = [tex]\frac{1}{4}[/tex]
Therefore, given expression for the proportional relation will be,
[tex]y=\frac{1}{4}x[/tex]
If x = 20, we have to calculate the value of y,
Substitute x = 20 in the same expression,
[tex]y=\frac{1}{4}(20)[/tex]
y = 5
Therefore, for the value of x = 20, value of y will be 5.
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Which ratio is proportional to 35/7?
a)20/4 b) 15/2 c) 25/6 d) 12/2
Answer:
the answer is b i hope it helps
Sadie goes for an afternoon walk. The graph shows her distance from home over time
Answer: The max distance is 4 miles but If you add it all together it's 8 miles in 60 mins (1 hour)
Step-by-step explanation:
Distance time graph shows that how the distance of the object changes with time. The average speed of Sadie is 8 miles per hour.
To solve this problem, we need to know about the distance-time graph.
What is distance-time graph?Distance time graph shows that how the distance of the object changes with time.
Given information-
The graph given which shows the distance of Sadie from home over time as she goes for the afternoon walk.
The table attached below shows the distance of Sadie in each 15 minutes.
The total distance covered by the Sadie is,
[tex]=2+2+4\\=8[/tex]
Thus the distance covered by the Sadie is 8 miles.
The total time taken by Sadie to cover 8 miles distance is 60 minutes or 1 hour.
As it is not clear that what has to be find out in the given problem. Let assume that the average speed of Sadie has to be find out.
Thus the average speed is the ratio of total distance traveled to the total time taken. Thus,
[tex]v=\dfrac{8}{1} \\v=8[/tex]
Thus the average speed of Sadie is 8 miles per hour.
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A. Convert to the indicated unit of measure
1. 708 mm = ______m
2. 15.6 km = ______ dam
3. 108 cc = ______mL
4. 8 tbsp = ______ mL
5. 16.5 L = _____ gal
6. 3,569 sec = _____days
7. 4 score = ______ mo.
8. 299 K = _______0C
9. 2000F = ______0C
10. 10,866 mg = ______kg
ASAP :)
9514 1404 393
Answer:
0.708 m1560 dam108 mL118.3 mL (rounded)4.36 gal (rounded)0.04131 days (rounded)960 mo25.85 °C93 1/3 °C0.010866 kgStep-by-step explanation:
The conversions between SI prefix values can be found in any table of those prefixes. Other conversions needed are ...
1 tbsp = 14.7876478125 mL . . . . commonly rounded to 15 mL
1 gal = 3.785411784 L
1 day = 86,400 s
__
F = 9/5C +32 . . . . . formulas for conversion between temperature scales
K = C +273.15
_____
Applying the necessary conversions, we have ...
1. 708 mm = 0.708 m . . . 1000 mm = 1 m
2. 15.6 km = 1560 dam . . . 100 dam = 1 km
3. 108 cc = 108 mL . . . 1 cc = 1 mL
4. 8 tbsp ≈ 118.3 mL . . . using the above conversion
5. 16.5 L ≈ 4.36 gal . . . using the above conversion
6. 3,569 s ≈ 0.04131 days . . . using the above conversion
7. 4 score = 960 mo . . . 1 score = 240 months
8. 299 K = 25.85 °C
9. 200 °F = 93 1/3 °C
10. 10,866 mg = 0.010866 kg . . . 1,000,000 mg = 1 kg
_____
Additional Comment
For conversions other than temperature, the conversion factor used is one that is equivalent to 1. That is, the numerator has the same value as the denominator—only the units are different. The conversion in general looks like ...
[tex]nn\text{ units you have}\times\dfrac{A\text{ units you want}}{B\text{ units you have}}=\dfrac{nn\cdot A}{B}\text{ units you want}[/tex]
where the conversion factor is ...
A units you want = B units you have
PLS HELP Write an equation for an ellipse centered at the origin which has foci at (0,-+15) and a vertices at (0,-+25)
Answer:
c
Step-by-step explanation:
Shhdhskwoqoqpqpqlqlqlqlalalsmmsmsmznzhxhfhrsq
Answer:
C=14π
Step-by-step explanation:
C=2πr
14 is the diameter. radius is half of diameter. r=7
C=2π(7)
C=14π
A baseball team is having an opening night ticket sale and all tickets are 25% off.
What is the discounted amount if the original ticket price is $85?
Answer:
9
Step-by-step explanation:
i took the test
r(x)=2square root of x S(x)= square root of x (rs)(4)=
Answer:
[tex](rs)(4) = 8[/tex]
Step-by-step explanation:
Given
[tex]r(x) = 2\sqrt{x[/tex]
[tex]s(x) = \sqrt x[/tex]
Required
Determine [tex](rs)(4)[/tex]
In functions:
[tex](fg)(x) = f(x) * g(x)[/tex]
This implies that:
[tex](rs)(x) = r(x) * s(x)[/tex]
Substitute values for r(x) and s(x)
[tex](rs)(x) = 2\sqrt{x} * \sqrt{x}[/tex]
[tex](rs)(x) = 2(\sqrt{x})^2[/tex]
[tex](rs)(x) = 2x[/tex]
Substitute 4 for x
[tex](rs)(4) = 2 * 4[/tex]
[tex](rs)(4) = 8[/tex]
Use the theoretical method to determine the probability of the following outcome and event. State any assumptions made.
Tossing two coins and getting either one head or two heads
Choose the correct answer below.
Answer:
Assuming that each coin is fair and is equally likely to land heads or tails, the probability is 3/4.
Change 41 out of 50 to a percentage.
Step-by-step explanation:
50x=41*100
50x=4100
x=4100/50
x=82%
Please help with this worksheet
real numbers
I DO NOT KNOW JUST GIVE ME A SECOND.
Can someone help? Pls
9514 1404 393
Answer:
[tex]y-0=\dfrac{1}{2}(x -(-2))[/tex]
Step-by-step explanation:
The point-slope form of the equation for a line with slope m through point (h, k) is ...
y -k = m(x -h)
For m = 1/2 and (h, k) = (-2, 0), the equation is ...
y - 0 = 1/2(x -(-2))
Cam divided x^4
+ 3x² - 4x – 2 by the factor x-2 using synthetic division. His work is shown. Identify his
mistake.
2 1 3 -4 -2
2 10 12
——————
1 5 6 10
x^3+5x^+6x+10
——
x-2
Answer: cam did not use a zero place holder for the x^3 term
Step-by-step explanation:
The perimeter of a square is 52 cm.
Calculate the area of the square.
Answer:
52/4 = 13
13 X 13 = 169 cm squared
Cost of a dozen pens is ₹ 180 and cost of 8 ball pens is ₹ 56. Find the ratio of the
cost of a pen to the cost of a ball pen. [1 ½ m]
Answer:
Ratio of cost of a pen to cost of a ball pen is 15:7
Step-by-step explanation:
Given that:
Cost of dozen pens = ₹180
Unit rate = [tex]\frac{180}{12}[/tex]
Unit rate = ₹ 15 per pen
Cost of 8 ball pens = ₹ 56
Unit rate = [tex]\frac{56}{8}[/tex]
Unit rate = ₹7 per ball pen
Ratio of cost of a pen to cost of a ball pen,
15 : 7
Hence,
Ratio of cost of a pen to cost of a ball pen is 15:7
my first expression answer is y=5 -2x How do I plug it into x-y=1 ?? The Y
1. x-5-2x=1 OR
2. x+5-2x=1
Answer:
All you need to do is make sure the first expression is solved for y (which it is), and then substitute it into the second expression in place of any occurrences of y:
given the second expression:
x - y = 1
We'll replace y with it's value in the first expression:
x - (y) = 1
x - (5 - 2x) = 1
Now we can expand the resulting equation:
x - 5 + 2x = 1
So neither of the answers provided are correct.
You can then solve for x:
x - 5 + 2x = 1
x - 5 + 5 + 2x = 1 + 5
x + 2x = 6
3x = 6
3x/3 = 6/3
x = 2
After that, you can find y by plugging x into either of the two original equations:
y = 5 - 2x
y = 5 - 2(2)
y = 5 - 4
y = 1
6=xy does this show direct variation Explain your reasoning. ANSWER THIS PLZ
Answer:
No. It is an inverse variation.
Step-by-step explanation:
6= xy
Making y the subject of formula:
[tex]y = \frac{6}{x} [/tex]
For a direct variation, the equation would be in the form of y=kx, where k is a constant.
However, the equation above is in the form of [tex]y = \frac{k}{x} [/tex].
Thus, 6=xy does not show direct variation.
what is pi? I need help with this lol, first to answer gets brainliest
Answer:
✓ What is pi?
The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. It appears in many formulas in all areas of mathematics and physics. It is approximately equal to 3.14159.Being an irrational number, π cannot be expressed as a common fraction, although fractions such as 22/7 are commonly used to approximate it. Equivalently, its decimal representation never ends and never settles into a permanently repeating pattern. Its decimal (or other base) digits appear to be randomly distributed, and are conjectured to satisfy a specific kind of statistical randomness.Lol I need help agin
Step-by-step explanation:
7
b²=√218²-13²
=218-169
=49
=√49
=7
Choose all the equations that have m =5 as the solution
A. m - 1 = 4
B. m + 4 = 20
C. m - 3 = 8
D. 22 + m = 25
E. 12 = m + 7
Answer:
A and E
Step-by-step explanation:
Plug 5 in for m in every equation, and see if the math works.
A.
[tex]m-1=4\\5-1=4\\\\[/tex]
A - works
B.
[tex]m+4=20\\5+4=9[/tex]
B - does not work
C.
[tex]m-3=8\\5-3=2[/tex]
C - does not work
D.
[tex]22+m=25\\22+5=27[/tex]
D - does not work
E.
[tex]12=m+7\\12=5+7[/tex]
E - works
Answer:
A and E just to make it quick hope this helps
Step-by-step explanation:
Write an equation for line L in point-slope form and slope-intercept form.
L is perpendicular to y=4x.
Answer:
[tex]y = -\frac{1}{4}x + c[/tex] --- Slope intercept
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex] --- Point slope
Step-by-step explanation:
Given
Perpendicular to [tex]y = 4x[/tex]
Required
Determine its equation
The general form of an equation is:
[tex]y = mx + c[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = 4[/tex]
Next, we calculate the slope of L.
Because L is perpendicular to [tex]y = 4x[/tex], the relationship between their slopes is:
[tex]m_2 = -\frac{1}{m}[/tex]
Substitute 4 for m
[tex]m_2 = -\frac{1}{4}[/tex]
The equation of L in slope intercept form is: [tex]y = mx + c[/tex]
Substitute -1/4 for m
[tex]y = -\frac{1}{4}x + c[/tex]
In point slope form, we have:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute -1/4 for m
[tex]y - y_1 = -\frac{1}{4}(x - x_1)[/tex]
Answer:
y-4=-1/4(x-1)
y=-1/4x+17/4
Step-by-step explanation:
what is the cos 30°?
temperature. ?????? don't understand
is 3 square root / 2
a classroom is 2.8m high and has a volume of 182m3. calculate the floor area of the classroom
The area is the volume divided by the height.
Area = 182 / 2.8
Area = 65 square meters
Area of the classroom floor is equals to [tex]65m^{2}[/tex].
What is area?" Area is defined as the total space occupied by any two dimensional object."
Formula used
Volume of a cuboid = Length × width × height
Area of a classroom floor = length × width
According to the question,
Given,
Height of a classroom = [tex]2.8m[/tex]
Volume of a classroom =[tex]182 m^{3}[/tex]
Substitute the value in the formula of volume we get,
182 = Length × width × 2.8
⇒Length × width = [tex]\frac{182}{2.8}[/tex]
⇒Length × width =[tex]65m^{2}[/tex]
Therefore,
Area of the classroom floor =[tex]65m^{2}[/tex]
Hence, area of the classroom floor is equals to [tex]65m^{2}[/tex].
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The sum of three consecutive integers is 12 less than 4 times the middle integer
Answer:
[tex]\mathrm{The\:three\: integers\: are\: 11, 12, \: and\:13.}[/tex]
Step-by-step explanation:
We can set up the following equation with the information given:
[tex](x-1)+x+(x+1)=4x-12[/tex], where [tex]x[/tex] is the middle integer.
Solving, we get:
[tex]3x=4x-12, \\-x=-12,\\x=\fbox{12}[/tex].
The three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
What are integers?Integers consist of whole numbers and negative numbers on a number line. For e.g -17, 2, 0, etc. are integers.
Consecutive integers mean integers that come one after another in the number line like 1, 2, 3 or 10, 11, 12, etc.
So if we have to form an equation for three consecutive numbers, it will,
(x-1), x, (x+1),
Now, according to the question,
(x-1) + x + (x+1) = 4x -12
Solve the equation,
3x = 4x -12
x = 12
Hence, first integer = 12 -1 = 11,
Second integer = 12,
Third integer = 12+1 = 13.
Therefore, the three consecutive integers which are 12 less than 4 times the middle integer are 11, 12, and 13.
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I need the answer ASAP
Answer: Its a rational number
Step-by-step explanation: All repeating decimals are rational :)
Can anyone solve this?
Answer:
x = 35°
∠Q = 127°
∠R = 35°
∠P = 18°
Step-by-step explanation:
x + 2x + 57 + x - 17 = 180 {Angle sum property of triangle}
x + 2x + x +57 -17 = 180 {Combine like terms}
4x + 40 = 180
4x = 180 - 40
4x = 140
x = 140/4
x = 35
∠Q = 2x + 57 = 2*35 + 57 = 70 +57 = 127°
∠R = x = 35°
∠P = x - 17 = 35 - 17 = 18°
What is the value of the expression 10 + ( fraction 1 over 2 )4 ⋅ 48? (1 point)
a
12
b
13
c
16
d
18
Answer:
106
Step-by-step explanation:
10 + (1/2)(4)(48) = 10 + 2(48) = 10 + 96 = 106
Kara earns 12 cent for each paper she delivers. If she delivers papers to 42 customers each day, how much does she earn in 1 week ?
12x42=504
504 cents earned every day when 42 papers are delivered
For a week= 504x7
3528cents
Answer:
3,528 cents = 35 dollars and 28 cents
Step-by-step explanation:
She earns 12 cents for each paper delivered.
=> She earns: 12 x 42 = 504 cents a day
=> She earns: 12 x 42 x 7 = 3528 cents in 1 week.
That is probably the answer you're expecting.
But you shouldn't.
One customer might need more than 1 paper a day, so there's no clear answer to your question.
Kennedy is working two summer jobs, making $11 per hour babysitting and making $8 per hour clearing tables. In a given week, she can work at most 17 total hours and must earn no less than $160. If x represents the number of hours babysitting and y represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
Using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .
What is linear programing problem?Linear programing problem is" a system of process of finding maximum or minimum value of any variables".
What is inequalities?Inequalities is statement of an order relationship, "greater than or greater than or equal to, less than or less than or equal to between two numbers or algebraic expressions" .
According to the question,
Let 'x' represents the number of hours clearing tables and 'y' represents the number of hours clearing tables.
maximum of z =11x+8y
x + y ≤ 17 → (1)
11x +8y ≥ 160 → (2)
Using graphical method, we can solve this Linear programing problem(LPP).
In inequality(1) put x=0, we get y=17 and y=0, we get x=17 therefore in equation (1) we get (17,17) draw this point on graph.
In inequality(2) put x=0 we get y=20 and put y=0 we get x=14.54 from equation(2) we get (14.54,20) draw this point on graph.
To find maximum value of z solve this equation
x + y =17 →(3)
11x +8y =160 →(4),
multiply (3) by 8 we get, 8x+8y=136 and subtract the equation (3) from the equation (4)
11x+8y=160
8x+8y=136 [multiply by(-) on both sides]
we get x=3 substitute this 'x' value in equation (3)
3+y=17
y = 14.
The maximum z = 11x+8y
z = 11(3)+8(14) [substitute (3,14)]
maximum z =145.
Hence, using graphical method of Linear programing problem, the system of inequalities are x + y ≤ 17 and 11x +8y ≥ 160. The maximum value of z=145, x=8,y=14 .
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I. A rhombus is a special type of square. II. A rectangle is a special type of rhombus. III. A trapezoid is a special type of parallelogram. Which of the above statements are true? i only iii only iii only None of the above statements are true.
Answer: I. only
--------------------------------------------------------------------------------------------------------------
Explanation :
II. False. a rectangle is a special type of rhombus since a rhombus has all sides equal, while a rectangle has all angles equal. A rhombus has opposite angles equal, while a rectangle has opposite sides equal. The diagonals of a rhombus intersect at equal angles, while the diagonals of a rectangle are equal in length.
I. True. A square is a special case of a rhombus, because it has four equal-length sides and goes above and beyond that to also have four right angles. Every square you see will be a rhombus, but not every rhombus you meet will be a square.
III. False. Trapezoids have only one pair of parallel sides; parallelograms have two pairs of parallel sides. A trapezoid can never be a parallelogram. The correct answer is that all trapezoids are quadrilaterals.
Please quickly answers thus
Answer:
i believe it's c. im not 100% sure though!
Step-by-step explanation:
please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!
(lol optional): add my sc: tealyn337
