if y=156 when x=39 what is y when x is 17 please show work
Answers
By applying direct proportion, the value of y when x is 17 is equal to 68.
What is a direct proportion?Mathematically, a direct proportion or direct variation can be represented the following mathematical expression:
y = kx
Where:
y and x are the variables or dimensions.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) as follows:
k = y/x
k = 156/39
k = 4
Now, we can calculate the value of y when x is 17;
y = kx
y = 4 × 17
y = 68.
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Related Questions
2 A bag contains & blacks balls and 5 yellow balls, 2 balls are taken at random one after the other without replacement find-the probability that they are both black they fare both yellow & the first as yellow - and the second is black one is yellow the other is black they are of the same colour
Answers
The probability values are calculated and listed below
Finding the probabilitiesThey are both black
Here, we have
Black = 3
Yellow = 5
Sice the balls are not replaced, we have
P(Both black) = 3/8 * 2/7
P(Both black) = 3/28
They are both yellow
Sice the balls are not replaced, we have
P(Both Yellow) = 5/8 * 4/7
P(Both Yellow) = 5/14
The first is yellow and the second is black
Sice the balls are not replaced, we have
P(Yellow and black) = 5/8 * 2/7
P(Both Yellow) = 5/28
One is yellow the other is black
Sice the balls are not replaced, we have
P(One Yellow and One black) = 5/8 * 2/7 * 2
P(One Yellow and One black) = 5/14
They are of the same colour
Here, we have
P(Same) = 3/28 + 5/14
P(Same) = 13/28
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The shop teacher wrote down how many picture frames the students made last week.
Making picture frames
******
xxxx-
x
xx
ххххххх
0 1 2 3
4
Picture frames made
How many students made at least 3 picture frames?
students
Answers
9 students made at least 3 picture frames.
What is Box- whisker plot?An illustration of variation in a set of data is called a box and whisker plot. A histogram analysis usually gives an adequate display, but a box and whisker plot can add more detail while enabling the display of different sets of data on the same graph.
Given:
The plot shows picture frames made by students last week.
Number of Frames Number of students
0 6
1 4
2 1
3 2
4 7
So, the students made at least 3 picture frames
= 2+ 7
= 9
Hence, 9 students made at least 3 picture frames.
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What is the equation of the line that passes through (2, -1) and is perpendicular to the line 1 whose equation is y=-1/2
x+4?
Answers
Answer:
Step-by-step explanation:
The point-slope form of the equation of a line is:
\(y-y_1=m(x-x_1)\)
So, the equation for this problem, let
\((x_1,y_1)=(2,-1)\)
then,
\(y-(-1)=m(x-2)\\y+1=m(x-2)\)
If line (a) is perpendicular to line (b), then \(m_b\) is equal to \(-\frac{1}{m_a}\). For this problem, let
\(m_a=-\frac{1}{2}\) and \(m_b=2\)
So,
\(y+1=(2)(x-2)\\y+1=2x-4\\(y+1)-1=(2x-4)-1\\y=2x-5\)
Write the equation of the line
Answers
Answer:
y=1/3x - 3
Step-by-step explanation:
slope of the line is 1/3 which is m.
y intercept is -3 which is b
Insert those numbers
y=1/3x - 3
In which direction does the right side of this graph point?
f(x)=3x4 – x2 + 4x – 2
Answers
Answer:
its a positive equation, but if your asking which quadrant its point to its iN the first one
Step-by-step explanation:
Answer the question below in the picture.
Answers
Answer:
39 ft²
Step-by-step explanation:
Surface area of square pyramid:
Surface area of square pyramid = lateral surface area+ base area
s = 3 ft
l = 5 ft
\(\sf \boxed{\text {\bf Surface area of square pyramid = $2sl +s^2$ }}\)
s - side of the base square
l- slant height
Surface area = 2*3*5 + 3*3
= 30 + 9
= 39 ft²
a triangular prism is 17.7 cm long. it’s has a triangular face with a base of 6 cm. the volume of the prism is 307.98 cubic cm. what is the height of its triangular face?
Answers
The formula for measuring a triangle's volume is as follows:
\(V=\frac{1}{2}bhl\)
Given that, \(l=17.7; b=6; V=307.98\) you can simply solve for \(h\).
So, \(h=\frac{2V}{bl}\)
Subsitute:
\(h=\frac{2(307.98)}{(6)(17.7)}\\h=\frac{615.96}{106.2}\\h=\frac{29}{5} =5.8 cm\)
5.8cm is the solution.
Note: Figure is not drawn to scale. If the route takes him 10 miles on Forrest Lane and 26 miles up Cedar Drive, how far will Anthony ride down Pine Avenue?
Answers
The distance that Anthony will ride down Pine Avenue would be D.) 24 miles .
How to find the distance ?Anthony's route distance along Pine Avenue can be calculated using the Pythagorean Theorem. This theorem confirms that in a right triangle, when one angle is 90 degrees, the sum of squares of the lengths of the two non-hypotenuse sides equals the square of length of the hypotenuse or the longest side.
Hypothenuse ² = Forrest Lane ² + Pine Avenue ²
26 ² = 10 ² + x ²
676 = 100 + x ²
x ² = 576
x = 24
In conclusion, Anthony will ride down Pine Avenue for 24 miles.
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Full question is:
Anthony was mapping out a route to ride his bike. The route he picked forms a right triangle, as shown in the picture below. If the route takes him 10 miles on Forrest Lane and 26 miles up Cedar Drive, how far will Anthony ride down Pine Avenue?
A.) 16 miles
B.) 36 miles
C.) 30 miles
D.) 24 miles
Can someone please answer these 2 questions
Answers
Answer:
part 1: $532.95. Part 2: 16
Step-by-step explanation:
Part 1: 15 * 15.35 = 230.25
30 * 10.09 = 302.70
230.25 + 302.70 = $532.95
Part 2: R = letters in the word desk
there are 4 letters in the word Desk
\(2^{R}\) = \(2^{4}\) = 2 * 2 * 2 * 2 = 4 * 4 = 16 subsets
Given 12 different 2-digit numbers, show that one can choose two of them such that their difference is a two-digit number with identical first and second digit
Answers
Step-by-step explanation:
there are 91 2-digit numbers : 10 ..99
and there are 9 2-digit numbers with identical first and second digit : 11, 22, 33, 44, 55, 66, 77, 88, 99
99 has to be excluded, because there are no 2 2- digit numbers that I can subtract from each other and get 99.
so, e are dealing with 8 possibilities.
88 = 99-11
98-10
77 = 99-22
98-21
97-20
...
78-1
66 = 99-33
98-32
...
67-1
...
11 = 99-88
98-87
...
12-1
all the double- digit numbers are 11 apart. so, by picking 12 numbers, I have to have at least one that I can combine with one of the other 11 to get a double-digit number.
!!!!!!!!! PLEASE HELP !!!!!!!!!!
Solve x² - 6x - 7 = 0
Answers
Answer:
x = 7, -1
Step-by-step explanation:
Triangle UVW is dilated with a scale factor of 1/3 with the center of dilation at the origin. What are the coordinates of the resulting triangle U'V'W?
Answers
A dilation with a scale factor of k=1/3 with the center of dilation at the origin will perform the following transformation in any point (x,y):
\((x,y)\longrightarrow(\frac{x}{3},\frac{y}{3})\)We have a triangle with vertices U, V and W.
We apply the transformation to these points and get:
\(\begin{gathered} U=(0,3)\longrightarrow U^{\prime}=(\frac{0}{3},\frac{3}{3})=(0,1) \\ V=(6,6)\longrightarrow V^{\prime}=(\frac{6}{3},\frac{6}{3})=(2,2) \\ W=(6,0)\longrightarrow W^{\prime}=(\frac{6}{3},\frac{0}{3})=(2,0) \end{gathered}\)Answer: U'=(0,1), V'=(2,2), W'=(2,0)
The right option is Option D.
How do you answer this question?:
5x^2+14x=x+6
Answers
The solutions to the equation 5x²+14x=x+6 are x = 4/5 or x = -3 we solved by using quadratic formula
The given equation is 5x²+14x=x+6
We have to solve for x
Subtract x from both sides
5x²+13x=6
Subtract 6 from both sides
5x²+13x-6=0
Now we can use the quadratic formula to solve for x:
x = (-b ± √(b²- 4ac)) / 2a
where a = 5, b = 13, and c = -6.
Substituting these values and simplifying:
x = (-13 ±√(13²- 4(5)(-6))) / (2 × 5)
x = (-13 ± √289)) / 10
x = (-13 ± 17) / 10
So we get two solutions:
x = 4/5 or x = -3
Therefore, the solutions to the equation 5x^2 + 14x = x + 6 are x = 4/5 or x = -3.
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Which statement compares the two numbers correctly? (2 points) Fifty-seven thousand, eight hundred and twenty-two hundredths ________ fifty-seven thousand eight hundred and three tenths Select one: a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths b. Fifty-seven thousand eight hundred and twenty-two hundredths > fifty-seven thousand eight hundred and three tenths c. Fifty-seven thousand nine hundred and three tenths > fifty-seven thousand eight hundred and twenty-two hundredths d. Fifty-seven thousand eight hundred and three tenths = fifty-seven thousand eight hundred and twenty-two hundredths
Answers
Answer:
a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths
Step-by-step explanation:
In numbers it is written in the order
Th H Tens Units Decimal Tenths Hundredths Thousandths
57 8 0 0 . 0 22
57 8 0 0 . 3
This could be simply explained that the if we make compare the numbers before the decimal they are same but after the decimal we can analyze
3/10 and 22/100
Converting them into decimals we get
0.3 and 0.22
therefore 0.3 is greater than 0.22
so Choice a is only correct .
a. Fifty-seven thousand eight hundred and twenty-two hundredths < fifty-seven thousand eight hundred and three tenths
Answer: The person above me is correct
explanation:
I said that because i don't want no one saying that i copied them
-2+-6 in absolute value minus -2- -6 in absolute value
Answers
`-2+-6` in absolute value minus `-2--6` in absolute value is equal to `4`.
To solve for `-2+(-6)` in absolute value and `-2-(-6)` in absolute value and subtract them, we first evaluate the two values of the absolute value and perform the subtraction afterwards.
Here is the solution:
Simplify `-2 + (-6) = -8`.
Evaluate the absolute value of `-8`. This gives us: `|-8| = 8`.
Therefore, `-2+(-6)` in absolute value is equal to `8`.
Next, simplify `-2 - (-6) = 4`.
Evaluate the absolute value of `4`.
This gives us: `|4| = 4`.
Therefore, `-2-(-6)` in absolute value is equal to `4`.
Now, we subtract `8` and `4`. This gives us: `8 - 4 = 4`.
Therefore, `-2+-6` in absolute value minus `-2--6` in absolute value is equal to `4`.
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y = f(x) if f”(x) = 6x-2. f’(0) =3, f(0) 7
a) f(x) = x^3 -x^2 + 3x +7
b) f(x) = x^3 - x^2
c) f(x) = 0
d) f(x) = x^3 - x^2 + 3x
Answers
a) f(x) = x^3 -x^2 + 3x +7 is the correct answer
5/6+1/4 these are fractions
Answers
multiply the denominators and numerators in order for equation to have the same denominators to help solve.
20/24 + 6/24
= 26/24
= 13/12
Hope you find this helpful!
Brainliest and a like is much appreciated!
From Midnight to 2:00 am, the temperature dropped
0.6" each hour if the temperation at 2:00am
was 2.8 What was the tempature at midnight
Answers
If f(x) = 1-X, which value is equivalent to |f01?
Oo
1
7
V 1-1
Answers
The given function is f(x) = 1 - x. To find the value of |f(0)1|, we need to substitute 0 into the function and then take the absolute value of the result.
f(0) = 1 - 0 = 1
Taking the absolute value of 1, we have:
|1| = 1
Therefore, the value equivalent to |f(0)1| is 1.
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Original function: F= 9/5C+32
Inverse function: C=F−32·5/9
Suppose we want to find the temperature in Celsius when it is 10 degrees Fahrenheit and when it is 90 degrees Fahrenheit. Which equation would you use? Why?
Answers
The inverse function is used to find the temperature in Celsius,
the temperature in celsius is -12.22°C and 32.22°C.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows:
Expression: (Math Operator, Number/Variable, Math Operator).
Given expression for temperature calculation
Original function: F = 9/5C + 32
Inverse function: C = (F − 32)5/9
where C is temp. in Celsius and F is temp. in Fahrenheit,
so when the temperature is given in Fahrenheit we have to use the inverse function formula to calculate the temperature in degree celsius,
because it will be easy to calculate.
temperature = 10°F
C = (F − 32)5/9
C = (10 - 32)5/9
C = -22 x 5/9
C = -12.22°C
when temperature = 90°F
C = (90 - 32)5/9
C = 32.22°C
Hence the temperature is -12.22°C and 32.22°C.
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Please answer the question
Answers
Answer:
a = 104
Step-by-step explanation:
126 + 26 = 152
360 - 152 = 208
208 / 2 = 104
104 = a
Hope this helps :)
(If you need the explanation in words just let me know)
Step-by-step explanation:
Let's find
add up
a+a+26+126=3602a+152=3602a=360-1522a=208a=104A certain star is 2.6×102 light years from the Earth. One light year is about 5.9×1012 miles. How far from the earth (in miles) is the star?
WILL GIVE BRAINLIEST
Answers
Answer:
2.5 x \(10^{15}\) miles
Answer:
265.2 and 5970.8
Step-by-step explanation:
100 / what = 4
hellpppp my brain wont work
Answers
Answer:
25
Step-by-step explanation:
Let's call that number x
100/x = 4 now multiply both sides by x to get rid of fraction
100 = 4x divide both sides by 4
25 = x
HELP DUE IN 10 MINS!
Given that QUAD is a rectangle, find the values of the variables.
1. x = ?? degrees
2. ° y =?? degrees
3. ° z =?? degrees
Answers
Answer:
x= 55°
y=70°
z= 35°
Step-by-step explanation:
.................
Answer:
x = 45°
y = 70°
z = 25°
Hope this helps!
a boy rode his bike at an average speed of 11 kilometers per hour . how much far did he ride in four hours
Answers
Step-by-step explanation:
The answer is mentioned above.
Hope it helps.
Hii, can you help me ?
Answers
Answer:
100, 101, 102, 103, 104
Step-by-step explanation:
Basically, if the units (or ones, it's the same thing) digit of the first number is 0, the units digit of the second number should be 1, then 2, and so on. Therefore, one possible list of numbers is as follows: 100, 101, 102, 103, 104.
101
102
103
104
105
Hope it helps❄️
If you help me I’ll give brainliest and 20 points
Answers
Answer:
I believe its 1, 2, and 4
Step-by-step explanation:
hope I helped I may be wrong tho
.................................................
7 Dividido 4 en decimales
Answers
Answer:
1.75
Step-by-step explanation:
Which Expression is Equivalent to the given expression? (4m^2n)^2/2m^5n
Answers
Answer:
D. \( 8 {m}^{ - 1} n\)
Step-by-step explanation:
\( \huge \frac{(4 {m}^{2} n)^{2} }{2 {m}^{5}n } \\ \\ \huge= \frac{16 {m}^{4} {n}^{2} }{2 {m}^{5}n } \\ \\ \huge = 8 {m}^{4 - 5} {n}^{2 - 1} \\ \\ \huge \purple{ \boxed{= 8 {m}^{ - 1} n}}\)
Answer:
8m^-1n
Step-by-step explanation:
Which box plot has the smallest interquartile range?
Answers
The box plot that has the smallest interquartile range is Box Plot D.
Option D is the correct answer.
We have,
A.
First quartile = 2
Third quartile = 7
Interquartile range.
= 7 - 2
= 5
B.
First quartile = 4
Third quartile = 9
Interquartile range.
= 9 - 4
= 5
C.
First quartile = 3
Third quartile = 8
Interquartile range.
= 8 - 3
= 5
D.
First quartile = 4
Third quartile = 8
Interquartile range.
= 8 - 4
= 4
Thus,
The box plot that has the smallest interquartile range is Box Plot D.
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