The variable y varies directly with the variable x.
If the value of x is 14, what is the value of y?
Answers
Given that the variable y varies directly with the variable x. If the value of x is 14, the value of y will be 21.
If the value of x is 14, what is the value of y?Proportional relationships are relationships between two variables where their ratios are equivalent.
A direct variation is expressed;
a ∝ b then a = kb
Where k is the proportionality constant.
Given the data in the question
a = 10b = 15k = ?First, we determine the proportionality constant.
a = kb
15 = k × 10
k = 15/10
k = 3/2
Now, if the value of x is 14, then the value of y will be;
a = kb
y = kx
y = (3/2) × 14
y = ( 3 × 14 )/2
y = 42/2
y = 21
Given that the variable y varies directly with the variable x. If the value of x is 14, the value of y will be 21.
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Answer:
Value of y is 21, when x is 14.
Step-by-step explanation:
Now we have to,
→ find the value of y when x is 14.
Forming the formula,
→ k × 2 = x
→ k × 3 = y
Let's complete the given table,
→ k × 2 = x, k × 3 = y
→ 1 × 2 = 2, 1 × 3 = 3
→ 2 × 2 = 4, 2 × 3 = 6
→ 3 × 2 = 6, 3 × 3 = 9
→ 4 × 2 = 8, 4 × 3 = 12
→ 5 × 2 = 10, 5 × 3 = 15
→ 6 × 2 = 12, 6 × 3 = 18
→ 7 × 2 = 14, 7 × 3 = 21
Then the table will look like,
|| x || y |||| 2 || 3 |||| 10 || 15 |||| 14 || 21 ||Hence, y is 21 when x is 14.
Related Questions
subtract 2a-3b from b-a
Answers
Answer:
Answer: (2a+3b)-(a+b) = a + 2b.
Answer:
-2a² - 3b² + 5ab
Step-by-step explanation:
(b-a) - (2a-3b)
= b(2a-3b) -a(2a-3b)
= 2ab - 3b² - 2a² + 3ab
= -2a² - 3b² + 3ab + 2ab
= -2a² - 3b² + 5ab
Olivia purchases gifts for her mom and grandma for Mother’s Day the first pair as a pair of sunglasses for $16.35 and the second is a bracelet your total is 39 and $.75 how much did she spend on the bracelet
Answers
Olivia purchases gifts for her mom and grandma for Mother's Day. The linear equations in first is a pair of sunglasses for $16.35 and the second is a bracelet. Her total spend $39.75.
She spend $23.4 on the bracelet.Given that
Olivia purchases gifts for her mom and grandma for Mother’s Day.The linear equations first is a pair of sunglasses for $16.35 and the second is a bracelet.She used total $39.75 for gifts.o find
How much did she spend on the bracelet?So, according to the question
We have
Total amount spend by her = $39.75.The amount of the pair of sunglasses = $16.35.So, we can say that
The amount of bracelet = Total amount spend by her - The amount of the pair of sunglassesNow, putting the all given values,
So, we get
= $(39.75 - 16.35)
The amount of bracelet = $ 23.4
She spend $ 23.4 on bracelet for Mother’s Day.
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Which axis is triangle ABC reflected across?
Answers
Question 6: Give the translation rule, any coordinate point will shift 4 units to the left and rise up 8 units.
Triangle ABC is reflected across the y-axis. The two congruent triangles are mirrored across the y-axis, thus they are reflected.
6: Give the translation rule, any coordinate point will shift 4 units to the left and rise up 8 units.
What is the translation ruleThe translation rule describes how each coordinate point of the original triangle ABC moves to form the reflected triangle after the reflection across the y-axis.
To reflect a triangle across the y-axis, all you need to do is change the sign of the x-coordinate while keeping the y-coordinate the same. Using this rule, every point on the original triangle ABC will move 4 units to the left and go up 8 units to create the reflected triangle A'B'C' after the reflection.
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a concert manager counted 650 ticket receipts the day after a concert. the price for a student ticket was $11.50, and the price for an adult ticket was $13.00. the register confirms that $8,112.50 was taken in. how many student tickets and adult tickets were sold?
Answers
Based on the calculations, the number of student tickets and adult tickets that were sold are 225 tickets and 425 tickets respectively.
Given the following data:
Total ticket receipts = 650 tickets.
The price for a student ticket = $11.50.
The price for an adult ticket = $13.00.
Total revenue = $8,112.50.
Let T represent the total ticket.Let S represent price for a student ticket.Let A represent price for an adult ticket.Let R represent the total revenue.What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
How many student tickets and adult tickets were sold?In order to determine the number of student tickets and adult tickets that were sold, we would translate the word problem into an algebraic expression as follows:
A + S = 650 ......equation 1.
11.5S + 13A = 8,112.50 ......equation 2.
From eqn. 1, we have:
S = 650 - A ......equation 3.
Substituting eqn. 3 into eqn. 2, we have:
11.5(650 - A) + 13A = 8,112.50
7,475 - 11.5 A + 13A = 8,112.50
1.5A = 8,112.50 - 7,475
1.5A = 637.5
A = 637.5/1.5
A = 425 tickets.
For the student tickets, we have:
S = 650 - A
S = 650 - 425
S = 225 tickets.
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|-8| tango examen mañana ayuda
Answers
Answer:
bein estas for
Step-by-step explanation:
lerni :) kaj preterpasi
what number is equal to 4 hundreds 3 tens 7 ones and 19 thousandths
Answers
Answer:437.019
Step-by-step explanation:
If you add together
4 hundreds-400
3 tens-30
7 ones-7
19 thousandths-0.019
It equals 437.019
Find the axis of symmetry of y=x^2
Answers
Answer:
Step-by-step explanation:
x^2 cannot be negative so the minimum value of x^2 is at (0.0)
When x = -1 y = 1 and when x = 1 y = 1
- and so on for all values of x
SO, y = x^2 is symmetrical about the y axis.
and the axis of symmetry is the y axis or we can write it as the line x = 0.
Find the component form of u v given the lengths of u and v and the angles that u and v make with the positive x-axis. u = 5, u = 9 v = 1, v = 5
Answers
The component form of a vector refers to breaking the vector into components with unit vectors denoting the direction of each component. The general component form angled vectors in a two-dimensional space is given by:
[tex]\vec v=|v|cos\theta\hat{x}+|v|sin\theta\hat{y}[/tex]
where |v| is the magnitude of the vector component and theta is the angle of the vector.
Using the magnitude and angle given for vector u we can write its component form :
[tex]\vec u=|u|cos\theta_u \hat{x}+|u|sin\theta_u \hat{y}\\\vec u=|5|cos(9)\hat{x}+|5|sin\(9) \hat{y}\\\vec v=5cos9_u\hat{x}+5sin9_u\hat{y}[/tex]
Doing the same for v
[tex]\vec v=|v|cos\theta_u \hat{x}+|v|sin\theta_u \hat{y}\\\vec v=|1|cos5_u \hat{x}+|1|sin5_u \hat{y}\\\vec v=1cos5_u\hat{x}+sin5_u\hat{y}[/tex]
Now adding both vector together
[tex]\vec u+\vec v=(5cos9_u\hat{x}+5sin9_u\hat{y})+(cos5_u\hat{x}+sin5_u\hat{x})\\\vec u+\vec v=(5cos9_u\hat{x}+cos5_u\hat{x})+(5sin9_u\hat{y}+sin5_u\hat{y})[/tex]
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A rectangular tank measuring 27.0 cm times 7.0 cm times 11.25 cm contains a gas sample that has a density of 0.020 g/ml what is the mass of the gas contained in the tank
Answers
The mass of gas contained in the tank is 42.525 g. It is calculated using the concept of density and volume of a substance.
What is density?
Density is generally defined as the mass per unit volume. Its representation is done using the symbol p. SI unit of density is kg / (m)3.
Calculation of the total mass of gas contained in the rectangular tank
Given:
Length of the rectangular tank, l = 27 cm
Breadth of the rectangular tank, b = 7 cm
Height of rectangular tank, h = 11.25 cm
Volume of rectangular tank = l × b × h
= 27 × 7 × 11.25
= 2,126.25 cubic cm
Density = 0.020 g/ml (1 ml = 1 cubic cm)
Mass / Volume = 0.020
Mass = 0.020 × 2,126.25
= 42.525 g
Hence, the mass of gas contained in the tank is 42.525 g.
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pleaseeee help!!!!!!
Answers
Answer: 5. x=110 degrees
y=70 degrees
6. c=8
Step-by-step explanation:
5. x=110 degrees ==> x and 110 are congruent angles.
110+y=180 ==> y is the supplement of an angle which is congruent to 110.
110-110+y=180-110
y=180-110
y=70 degrees
6. c/4 = 6/3
c/4 =2
c=8
What additional information is obtained from an ordinal scale compared to a nominal scale?
Answers
An ordinal scale provides more information than a nominal scale since values linked with an ordinal variable will be in natural order, whereas values connected with the nominal variable won't.
Types of Variables:Ordinal variables as well as nominal variables are the two categories of variables listed here. This sort of variable cannot be submitted to the same forms of statistical tests as interval and ratio variables, hence it is crucial to be able to recognize them accurately. Both of these variables fall within the qualitative category. This contrasts with interval as well as rate variables, both of which are categorized as quantitative.
An illustration of an ordinal variable is a Likert scale with words for mood (such as joyful, neutral, or sad). An illustration of a nominal variable is the names of cities in the Canadian province of Alberta.
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Need help on question 6!!!
Answers
X = 3
XY = 25
YX = 3
Let me know and anyone else out there, correct me I have no clue…
Find the distance between the two points (9,1), (-8,7)
Answers
Step-by-step explanation:
use distance formula for answer
a rectangle has a width w and a length that is two more than its width. what is the perimeter of the rectangle? write and simplify an expression. a general expression for the perimeter is (select) . the simplified expression i
Answers
The perimeter of the rectangle is 4 + 4w, where w is the width of the rectangle.
In this question,
a rectangle has a width w
Let l be the length of the rectangle.
A length that is two more than its width.
⇒ l = 2 + w
We know that the perimeter of the rectangle is P = 2 × (length + width)
So, for the length l = 2 + w and width w, the perimeter of the rectangle would be,
P = 2 × (w + (2 + w))
We simplify above expression.
P = 2 × (2 + 2w)
P = 4 + 4w
Therefore, the perimeter of the rectangle is 4 + 4w, where w is the width of the rectangle.
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Simplify 4G+ 16H - 8J = 32.
Select one:
O a. G + 4H-2J = 8
O b. G + 4H-2J = 32
O c.
2G+8H4J = 16
O d.
4G+ 2H-J = 4
O e. 12(G+ H-J) = 32
Answers
Which of the following is not a function? (There may be more than one answer). Explain Clearly.
Answers
Answer:
Function A is a function because the inputs on the table do not repeat any number, implying that each input has exactly one output. Function B is not a function because the inputs show that the number 6 is repeated. Function C is not a function because if we make a table, we can see that numbers repeat on the input, so Function C is not a function. Function D is a function because it would pass the vertical line test because no lines overlap with each other or have the input repeating.
Using the function concept, it is found that relations b and c does not represent a function.
When does a relation represents a function?A relation represents a function when each value of the input is mapped to only one value of the output.
On a graph, it means that each value of x is mapped to only one value of y, that is, there are no vertically aligned points on the graph.
For this problem, relation c does not represent a function, as there are multiple values of x are related to two values of y, and there are vertically aligned points on the graph.
In item b, when x = 6, there are two values of y, hence this is also not a function.
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Find the equation of the line shown below
Answers
Answer:
Below in bold.
Step-by-step explanation:
The slope = rise / run
= 5/10
= 1/2.
General form of the straight line is
y = mx + c where m = the slope and C is the y-intercept
Here m = 1/2. and c = 0
So, the answer is y = 1/2 x.
An angle and a ray are drawn on a piece of paper, what is the maximum number of
points at which the two figures could intersect?
A. 0
B. 1
C. 2
D. 3
E. infinitely many
Answers
Find the area of a triangle with a base
of 10m and a height of 12m.
Area: 1/2(bxh)
Answers
Answer: 60m
Step-by-step explanation: The formula is 1/2(bxh)
the base is 10m and the height is 12m.
1/2(10 x 12) =
1/2(120) = 60
The graph of y = |x +4|-8 is reflected across the y-axis and then translated down 2 units. What is an equation of the transformed graph?
O A. y = -|x +4|-10
O B. y= |4 - x|-6
O C. y = -|x + 4|-6
D. y= |4 - x|-10
Answers
The equation of resulting graph upon undergoing the transformations as described in the task content is; Choice B; y= |4 - x|-6.
What is the equation of the resulting graph formed from the transformations as described in the task content?It follows from the task content that the equation of the transformed graph be determined.
First, since the graph is reflected over the y-axis, the x-value becomes negative as; -x.
Hence, the resulting equation is;
y = |-x + 4|-8
y = |4 -x|-8
Also, when the graph is translated 2 units down; we have;
y -2 = |4 -x|-8
y = |4 -x|-8 +2
y = |4 -x| -6
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Here are two box plots:
95
95
100
100
105
box plot A
105
box plot B
110
110
115
115
1. Which box plot has a greater median? v
2. Which box plot has a greater measure of variability
Answers
Answer:
Box plot B
Step-by-step explanation:
Hope this helps
PLEASE HELP
also do the check ur work side to plssss
Answers
Answer:
k = -10
Step-by-step explanation:
(-8-3k)/2 = 11
Multiplying both sides with 2:
2{(-8-3k)/2} = 11(2)
-8-3k = 22
-8-3k+8 = 22 + 8
-3k = 30
k = 30/-3
k = -10
Check:
(-8-3k)/2 = 11
Putting the value of k that is -10:
{-8-3(-10)}/2 = 11
(-8+30)/2 = 11
22/2 = 11
11 = 11
Hence, it is proved that, k is, in fact, equal to -10
last one for this type of equation
Answers
Answer:
a.
t=11
A=210-14(11)
A=210-154
A=56
$56 left
b.
A=0
0=210-14t
14t=210
t=210/14
t=15
in 15 trips he'd be broke
In the figure below, m Z1=(x+88)° and m2=3x°.
Find the angle measures.
J
1
2
m21=
m42=
Answers
Answer:
m<1 = 111 degrees, m<2 = 69 degrees
Step-by-step explanation:
The measure of angles 1 and 2 are supplementary, (two angles adding up to 180 degrees). Using this, set up the equation:
x + 88 + 3x = 180
4x = 108
x=23 degrees
Next, substitute 23 into the given angles:
m<1 = (23 + 88) = 111 degrees
m<2 = 23 * 3 = 69 degrees
Thus, m<1 = 111 degrees, m<2 = 69 degrees. Hope this helps
Solve for the value of t.
Answer: t =
(6t+6)°
(7t-7)⁰
Submit Answer
Answers
Step-by-step explanation:
t = 7°
Use angles on a straight line add up to 180°.
Steve is on a baseball team. Steve has hit 5 home runs in the thirty-five times that Steve has been up to bat. At this pace, how many bats would Steve need to hit twenty-four home runs?
Answers
5:35
24:?
24/5=4.8
35x4.8=168
You are solving a measurement problem where the numbers 3.021 x 109 and 1.0482 x 10−4 are divided. How many significant digits should the quotient have?
2
3
4
5
Answers
The number of significant digits the quotient should have is 5. Option D
What are significant digits?Significant digits are important single digits from 0 to 9 in the coefficient of an expression.
They are also known as meaningful digits.
Significant figures or digits are the zeros that occur between any two non zero digits.
From the information given, we have;
3.021 x 109 1.0482 x 10−4Let's take the quotient
3.021 x 10^9 /1.0482 x 10^−4
This gives;
2. 88208 × 10^13
We can see that the number of significant digits are 5
Thus, the number of significant digits the quotient should have is 5. Option D
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Make a table of ordered pairs for the equation.
y=12x−3
Answers
Answer:
slope:12
Step-by-step explanation:
I HOPE IT HELP YOU
0_<
Answer:
12
Step-by-step explanation
4(8)÷2(3)-10
explain please
Answers
Answer: 38
Step-by-step explanation:
4*8 =32
32/2=16
16*3=48
48-10=38
Find the perimeter and area of the figure if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.
Perimeter:
Área:
Answers
The area and Perimeter of (ΔABC) are respectively; 17.5 square units and 24.16 units
What is the area and Perimeter of the Triangle?
The formula for the area of a triangle ABC with 3 coordinates is;
Area (ΔABC) = (¹/₂) |x₁(y₂ − y₃) + x₂(y₃ − y₁) + x₃(y₁ − y₂)|
The coordinates are;
(x₁, y₁) = (-6, 6)
(x₂, y₂) = (2, 3)
(x₃, y₃) = (-3, -2)
Thus;
Area (ΔABC) = (¹/₂) |-6(3 − (-2)) + 2(-2 − 6) + -3(3 − 6)|
Area (ΔABC) = (¹/₂)|-30 - 16 + 9|
Area (ΔABC) = ¹/₂ * |-35|
We are taking absolute value and so;
Area (ΔABC) = ¹/₂ * 35
Area (ΔABC) = 17.5 square units
To get the perimeter, we will use distance formula between two coordinates and we have;
AB = 8.544
BC = 7.071
AC = 8.544
Thus;
Perimeter = 2(8.544) + 7.071
Perimeter = 24.16 units
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