Answer:
18
Step-by-step explanation:
We know that y is 1.5 times x, so when x = 12, y = (1.5)(12)=18
This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality. The value of x is 8, when the value of y is 12.
What is the directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called the constant of proportionality.
This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n be two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called the constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
Given Variables y and x have a proportional relationship, therefore, we can write,
y ∝ x
y = k × x
21 = k × 14
21/14 = k
k = 1.5
Therefore, the equation for the relationship between x and y can be written as,
y = 1.5x
now, the value of x when the value of y is 12 is,
12 = 1.5 × x
x = 8
Hence, the value of x is 8, when the value of y is 12.
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Solve the following equations. 2x - y = 8 3x + y = 17
System of equations:
2x - y = 8
3x + y = 17
Solve for x:2x - y = 8
3x + y = 17
________ +
5x = 25
x = 5
Plug in x to one of the equations to solve for Y2(5) - y = 8
10 - y = 8
-y = -2
y = 2
Question 7
points 2
ps
sunshine house cleaners mops 1/5 square feet every 2/3 minute. what is their speed in terms of square feet
tio
per minute?
Their speed in terms of square feet per minute is 3/10 square feet per minute.
We know that the speed formula is the rate at which an object travels a given distance. Speed is defined as the distance traveled by a body in a given amount of time. Speed in the SI is measured in m/s.
Given that the distance = 1/5 square feet.
The time = 2/3 minute.
Speed = distance/time = (1/5)/(2/3) = (1/5)*(3/2) = 3/10
Therefore, we can conclude that their speed in terms of square feet per minute is 3/10 square feet per minute.
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Please help! The formula for the volume of a cylinder is:
Answer:
A
Step-by-step explanation:
isolate r by dividing by πh. take the square root on both sides to get rid of the r^2 to make it just r
Answer:
r =sqrt(V/ ( pi h) )
Step-by-step explanation:
V = pi r^2 h
We want to solve for r
Divide each side by pi h
V/ ( pi h) = pi r^2 h/ ( pi h)
V/ ( pi h) = r^2
Now take the square root of each side
sqrt(V/ ( pi h) )= sqrt( r^2)
sqrt(V/ ( pi h) )=r
is 8.6 a rational number
Answer:
Yes
Step-by-step explanation:
Yes, 8.6 is a rational number because it can be expressed in the form of p/q
[tex]8.6 = \frac{86}{10} = \frac{43}{5} [/tex]
How many real solutions does the system of equations have? y = x2 + x − 2 y = -x + 1
The number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).
What are the solutions of the equations?The equations are given below.
y = x² + x − 2 ...1
y = – x + 1 ...2
From equations 1 and 2, we have
x² + x − 2 = – x + 1
x² + 2x − 3 = 0
Then the factor of the equation will be
x² + 3x – x − 3 = 0
(x + 3)(x – 1) = 0
x = 1, –3
Then the value of y will be
At x = 1, we have
y = -1 + 1
y = 0
At x = -3, we have
y = -(-3) + 1
y = 4
Then the number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).
The graph is given below.
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This is my final please help
Thw measurements based on the arrow on the rulers will be:
A= 1.3cm
B = 2.1 cm
C = 3.4cm
D = 4.4cm
E = 5.5cm
F = 7cm
G = 8.2cm
H = 10.3cm
I = 11cm
J = 11.7cm
K = 12.7cm
L = 14.7cm
How to depict the measurement?It should be noted that 10 millimeters make 1 cm. Therefore, to convert the centimeters to millimeters, you simply have to multiply by 10.
A = 1.3cm × 10 = 13mm
B = 2.1cm = 21mm
C = 3.4 × 10 = 34m
Using same method, the value of the remaining will be:
D = 44mm
E = 55mm
F = 70mm
G = 82mm
H = 103mm
I = 110mm
J = 117mm
K = 127mm
L = 147mm
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Peter's father told Peter to buy four-tenths of a pound of chili powder. Each package is marked with its weight. What package should Peter buy?
Peter should buy 0.4 pound weight package
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct," "pct," and occasionally "pc" are also used, the percent sign, " percent ", is frequently used to signify it. A % is a number without dimensions and without a measurement system.
Given Peter's father told Peter to buy four-tenths of a pound of chili powder and Each package is marked with its weight.
We have to find which weight package should Peter buy
The four-tenths of a pound will be 40 % of one pound which is 0.4 pound. So peter should buy 0.4 pound weight package.
Hence Peter should buy 0.4 pound weight package
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Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 8x and y = 2x + 2 intersect are the solutions of the equation 8x = 2x + 2. (4 points)
Part B: Make tables to find the solution to 8x = 2x + 2. Take the integer values of x between −3 and 3. (4 points)
Part C: How can you solve the equation 8x = 2x + 2 graphically? (2 points)
Quickly please! Thank you.
The point of intersection of two given equations is (0.333, 2.667).
Given that, equation with two variables are y = 8x and y = 2x + 2.
The given equations will intersect at some point where y is the same for both equations.
When you replace y in y = 2x + 2 with y = 8x, we get 8x = 2x + 2.
So, the solution of 8x = 2x+2 will satisfy both equations.
Now, we need to find the solutions to take the integer values of x between -3 and 3.
That is,
x = -3 , then 8(-3) = 2(-3) +2⇒-24 = -6+2
⇒-12 = -4 False.
similarly, for x = -2
8(-2) = 2(-2)+2
⇒-16 = -2 False
For, x = -1
8(-1) = 2(-1)+2
⇒-8= 0 False
For, x = 0
8(0) = 2(0)+2
⇒0= 2 False
For, x = 1
8(1) = 2(1)+2
⇒8= 4 False
For, x = 2
8(2) = 2(2)+2
⇒16 = 6 False
For, x = 3
8(3) = 2(3)+2
⇒24 = 8 False
Therefore, there is no solution to 8x = 2x +2 for the integers values of x between -3 and 3.
The equations can be solved graphically by plotting the two given functions on a coordinate plane and identifying the point of intersection of the two graphs.
The point of intersection is the values of the variables which satisfy both equations at a particular point.
Hence, you can see the graph as shown below, the point of intersection is (0.333, 2.667).
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The tables represent the functions f(x) and g(x). f(x) -5 -2 -1 0 1 2 -3 -1 1 3 w 5 X -3 -2 -1 0 1 2 g(x) -13 -9 -5 -1 3 7 Which input value produces the same output value for the two functions? x = -3 O x = -1 x = 0 Ox=1 The tables represent the functions f ( x ) and g ( x ) . f ( x ) -5 -2 -1 0 1 2 -3 -1 1 3 w 5 X -3 -2 -1 0 1 2 g ( x ) -13 -9 -5 -1 3 7 Which input value produces the same output value for the two functions ? x = -3 O x = -1 x = 0 Ox = 1
Answer:
x=1
Step-by-step explanation:
There are two functions (f & g), each of which have a table of inputs and outputs. The same list of inputs is given to both functions, but the outputs are different.
Imagine that you asked your Father 6 questions, (weirdly instead of numbered 1 through 6, numbered -3 through 2), and that he gave you a list of answers.
Imagine that you asked your Grandfather the same 6 questions, and you got a list of answers from him.
On which question did they give the same answer?
It was on question number "1", (really the 5th question, but as we've numbered things from -3 to 2, it's question "1").
Since the "questions" were the input, "x", x=1.
Question 3 of 10
What else would need to be congruent to show that AABC= AXYZ by ASA?
B
A
C Z
Y
X
Given:
Are survival rates independent of gender within similar passenger classes ?
Answer:
yes
Step-by-step explanation:
Women had a much higher chance of survival — regardless of what class they were in — then men did. Of the 466 women on board, 339 survived. Of the 843 men on board, only 161 survived — a measly 19% compared to the 73% of women who made it safely back to shore.
Figure A
Figure B
Figure A is rotated 180°, then reflected across the line.
Figure B is reflected across the line, then rotated 180°.
Which of the following shows the two figures after they are
transformed?
Answer:
The answer is c
Step-by-step explanation:
look at the picture carefully
A four line classified ad costs 25 for a week. Each additional line costs 2. What is the weekly cost for a 12 line ad
Answer: 41
Step-by-step explanation:
If each line costs 2, then for the four-line ad, the cost is the initial price plus 4(2), meaning the initial cost is 25-8=17.
Thus, the cost of a 12-line ad is 17+2(12)=41
Describe the varying vegetation regions in Canada
Answer:
es fácil solo tienes que Aser 23+578 y hay te da el resultado
In ABC, CT is a median. What is the measure of AB?
Fill in the blank by enter in just a number for your answer.
Answer:
AB = 102
Step-by-step explanation:
the median CT bisects the side AB at T , then
BT = AT , that is
7x + 9 = 5x + 21 ( subtract 5x from both sides )
2x + 9 = 21 ( subtract 9 from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
then
AB = 5x + 21 + 7x + 9 = 12x + 30 = 12(6) + 30 = 72 + 30 = 102
The measure of AB is 102.
How to estimate the measure of AB?
The median CT bisects the side AB at T, then
BT = AT
7x + 9 = 5x + 21
subtracting 5x from both sides of the equation, we get
2x + 9 = 21
subtract 9 from both sides, and we get
2x = 12
Divide both sides by 2, we get
x = 6
then, AB = 5x + 21 + 7x + 9
AB = 12x + 30
Substituting the value of x,
12x + 30 = 12(6) + 30
= 72 + 30
AB = 102
Therefore, the measure of AB is 102.
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Which graph shows h(x) = f(x)g(x)
The attached graph represents the function h(x), where h(x) = f(x)g(x)
Complete questionConsider the functions f(x) = x - 6 and g(x) = x + 6. Which graph shows h(x) = f(x)g(x)?
How to determine the graph of h(x)?We have
f(x) = x - 6
g(x) = x + 6
The equation h(x) = f(x)g(x) means
h(x) = f(x) * g(x)
So, we have:
h(x) = (x - 6) * (x + 6)
Expand
h(x) = x² - 36
See attachment for the graph of function h(x)
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Answer:
A on edg. 2020
Step-by-step explanation:
Which graph shows h(x) = f(x)/g(x)
Question 3 of 10
Which choice represents the simplified exponential expression?
(12-4)8
OA. 12-32
B. 12-12
O C. 12
OD. 124
The correct value that equates to this expression is 12‐³². Letter A
.
To solve this expression, just: eliminate the parentheses and multiply the exponents among themselves;[tex] \boxed{ \large \sf (a {}^{n} ) {}^{m} \rightarrow a {}^{n \times m} } \\ \\ [/tex]
Resolution[tex]{ = \large \sf (12{}^{-4} ) {}^{8} } [/tex]
[tex]{ = \large \sf 12{}^{-4 \times 8} } [/tex]
[tex] \pink{ \boxed{ = \large \sf 12{}^{-32} } } \\ [/tex]
Therefore, the answer will be 12‐³²
What is the nth term rule of the linear
sequence
below?
1, 7, 13, 19, 25, . ..
Answer:
Un= 1+(n-1)6
Step-by-step explanation:
a = 1
d= 7-1= 13-7= 6
and using the formula, Un= a+(n-1)d
HELP DUE TODAY WORTH 87 POINTS
1. Moving at constant, you are at equilibrium and the restorative force of the scale balances your weight. So the scale exerts a force of 490 N and reads 50.0 kg.
2. The elevator is now moving up and slowing down, so its acceleration is pointing opposite the direction of motion, and Newton's second law says the net force is
F - 490 N = (50.0 kg) (-4.9 m/s²)
where F is the magnitude of the force due to the scale. Solve for F to get
F = 490 N - (50.0 kg) (4.9 m/s²) = 245 N
and the scale would read (245 N)/g = 25 kg. This should make sense; your inertia will cause your body to "want" to continue moving up at the same speed while the elevator slows down, and this relieves some of the upward force needed to keep your body moving with the elevator.
3. With the elevator in free fall, Newton's second law gives
F - 490 N = (50.0 kg) (-9.8 m/s²) ⇒ F = 0 N
and the scale would read 0 kg. Now you're falling with the elevator; the scale doesn't have to counteract your weight anymore.
Evaluate the algebraic expression.
z^2+1+y when y=4, and z=3.
Answer:
your question is
z²+1+y where, y=4,z=3
3²+1+4
9+5
14
is your answer
Please can someone help asap thank you !x
Answer:
Step-by-step explanation:
Gradient is the slope, the rise over run, change in y over change in x.
For line A
6/3=2
Gradient=2
For Line B
5/5 =1
Gradient =1
Answer:
•The coordinates of line A (0,1) and (1,3)
gradient formula : y2-y1/x2-x1
gradient :
3-1/1-0=2
Actually you can take any other coordinates for reference!
example :
the other coordinates of line A (0,1) and (2,5)
=5-1/2-0
=2 (same)
•The coordinates of line B (3,2) and (4,1)
Gradient : =1-2/4-3
=-1
or
the coordinat B =(7,-2) and (-2,7)
=7-(-2)/-2-7
=9/-9
=-1
Note:The line to the right has a positive gradient, and the line to the left has a negative gradient
Which table represents a linear function?
Answer:
1st one.
Step-by-step explanation:
Expand . ( 3x –2 ) 2 need an answer ASAP.
Answer:
6x - 4
Step-by-step explanation:
For expanding (3x -2) 2 , (3x - 2) is to be multiplied with 2.
(3x - 2) × 2 = 6x - 4
Evaluate the expression (8×6) +(8-3)
Answer:
(8×6)+8-3
48+8-3
53
Step-by-step explanation:
please mark me as brainlest
In your research study measuring the relationship between time spent playing video games and course grades, you find that grades increase at about the same rate as time spent playing video games decreases. What do you conclude
Research study measuring relationship suggests that video games may have a detrimental effect on an individual's grades.
This study analyzes the correlation between video game usage and academic performance. Scholastic Aptitude Test (SAT) and grade-point average (GPA) scores were used to gauge academic performance. The amount of time a student spends playing video games has a negative correlation with students' GPA and SAT scores. As video game usage increases, GPA and SAT scores decrease.
A chi-squared analysis found a p value for video game usage and GPA was greater than a 95% confidence level (0.005 < p < 0.01). This finding suggests that dependence exists. SAT score and video game usage also returned a p value that was significant (0.01 < p < 0.05). Chi-squared results were not significant when comparing time spent studying and an individual's SAT score. This research suggests that video games may have a detrimental effect on an individual's GPA and possibly on SAT scores. Although these results show statistical dependence, proving cause and effect remains difficult, since SAT scores represent a single test on a given day. The effects of video games maybe be cumulative; however, drawing a conclusion is difficult because SAT scores represent a measure of general knowledge. GPA versus video games is more reliable because both involve a continuous measurement of engaged activity and performance. The connection remains difficult because of the complex nature of student life and academic performance. Also, video game usage may simply be a function of specific personality types and characteristics.
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a candy bar is in the shape of a triangular prisim the volume of the box is 2400 cubic centimeters. what is the height of the base
The height of the base will be 15 cm. The candy bar has a 2400 cubic centimeter box with a triangular prism form to it.
What is the definition of a triangular prism?Join the edges of three rectangles. Now, from both ends, seal their triangle mouths. A triangular prism is a name for the form.
The complete question is;
"A candy bar is in the shape of a triangular prism the volume of the box is 2400 cubic centimeters. It is shown with a base of the triangle labeled 16 cm, the sides of triangles labeled 17 cm, and the length of the box equal to 20 cm. what is the height of the base triangular prism"
The volume of the triangular prism;
[tex]\rm V = \frac{1}{2}\times b \times h\times l\\\\ 2400 \ cm^3 = \frac{1}{2}\times 16 \ cm \times h\times 20 \ cm \\\\ h = 15 \ cm[/tex]
Hence, the height of the base will be 15 cm.
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There are two approaches to solving the equation -3x + 10 = 4x - 20
Subtract 4x from both sides. OR Add 3x to both sides.
–7x + 10 = –20 OR 10 = 7x – 20
Solve the equation using both approaches.
3. Find x 75° (4x 25)°
If two lines intersect, then their opposite angles are equal. Then the value of x is 25°.
The missing graph is given below.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Then the value of x will be
75° = (4x - 25)°
100° = 4x
x = 25°
Then the value of x is 25°.
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which shows the correct substitution of the values a, b, and c Dr the equation 0=-3x^2-2x+6 into the quadratic formula? Quadratic formula: x= -b±√b^2-4ac/2a
Answer: Option 1
Step-by-step explanation:
Here, a = -3, b = -2, c = 6.
Three teachers shared 4/5 of a flat paper that was donated to the school. what fraction of the flat paper did each teacher receive
