To solve the equation y - 4.5 = 12.2 we have to add 4.5 on both sides of the equation.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is y - 4.5 = 12.2
y minus four point five equal to twelve point two.
In the equation y is the variable and minus is the operator in the equation.
To solve the equation we have to isolate the variable y.
To isolate the variable y we have to add 4.5 on both sides of the equation
y-4.5+4.5=12.2+4.5
y=16.7
Hence, to solve the equation y - 4.5 = 12.2 we have to add 4.5 on both sides of the equation.
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Measure of the triangle
Answer: 30
Step-by-step explanation: Both of them are thirty because total angle adds up to 180 on a triangle
please help me with this problem about growth and decay.
Answer:
The population of the town in Iowa after 13 years is 9,130
Step-by-step explanation:
The given parameters of the town are;
The population of the town in Iowa in 2007, a = 12,355
The rate at which the people of the town leave Iowa for Minnesota, r = 2.3% per year
We are required to find the population of the town after t = 13 years
The given population decay function is presented as follows;
[tex]f(t) = a \cdot (1 - r)^t[/tex]
Where;
a = The initial population of the town = 12,355
r = The annual percentage rate at which the people of the town leave Iowa for Minnesota = 2.3% per year = 0.023
t = The number of years over which the population changes = 13 years = 13
∴ f(13) = 12,355 × (1 - 0.023)¹³ = 9130.02734094
Therefore, the population of the town in Iowa after 13 years ≈ 9,130 (we round down to the nearest whole number).
What is this just just look at it HOW!
Answer:
WOAH!!!!
Step-by-step explanation:
Thx for sharing that!
Mark as brainlist plssss.
Answer:
Wow
Step-by-step explanation:
help pls and tyyy:)))
The area of a rectangle is found using the formula A=lw, where l is the length of the rectangle and w is the width. Multiply each pair of factors and express the area of each rectangle as a single polynomial in terms of x.
l=x+14; w=3x+1
Answer:
A(x) = 3x² + 43x + 14
Step-by-step explanation:
Area of a rectangle = length × width
length = x + 14
width = 3x + 1
Area of a rectangle = length × width
= (x + 14)(3x + 1)
= 3x² + x + 42x + 14
= 3x² + 43x + 14
express the area of each rectangle as a single polynomial in terms of x.
A(x) = 3x² + 43x + 14
Solve for x. 4.3 + 3.2x = 23.5
Answer:
x=6
Step-by-step explanation:
4.3 + 3.2x = 23.5
-4.3 on both sides
3.2x=19.2
divided by 3.2
x=6
A large jar contains 500 marbles. All of the marbles in the jar are either blue or yellow, and there are 3 times as many blue marbles as yellow marbles. Which equation can be solved to find the number of yellow marbles in the jar?
Answer:
The equation to solve to find the number of yellow marbles =
3y + y = 500
4y = 500
The number of yellow marbles = 125
Step-by-step explanation:
Let the number of
Blue marbles = x
Yellow marbles = y
A large jar contains 500 marbles.
x + y = 500
All of the marbles in the jar are either blue or yellow, and there are 3 times as many blue marbles as yellow marbles.
3y = x
Hence, we substitute 3y for ymx in the above equation
3y + y = 500
4y = 500
y = 500/4
y = 125
The number of yellow marbles = 125
Given the data set, calculate the mean
{9, 3, 1, 8, 3, 6}
Please help!!!
Answer:
mean: 5
Step-by-step explanation:
(9 + 3 + 1 + 8 + 3 + 6) / 6 = 5
How to do this question
9514 1404 393
Answer:
AB = [[-6, -1][-4, 6][-15, 10]]
Step-by-step explanation:
Any of a number of on-line, spreadsheet, or calculator tools will find the matrix product for you.
The input and output of one such tool is shown below.
__
As you know, each term in the product matrix is the sum of products of a row in the left matrix and a column in the right matrix. The coordinates of that row and column are the coordinates of the result in the product matrix.
For example, row 2, column 1 of the product matrix is the sum of products ...
(4)(-3) +(-2)(-4) = -12 +8 = -4 . . . . row 2, column 1 of the result
Alicia bought a new game that was 15% off. The discount took 4.65. What was the original price of the shirt?
Answer:
If 31 is a option I would pick it.
Step-by-step explanation:
The problem we are solving is:
15% of ____ is 4.65.
This means that 0.15 x ? = 4.65
So ? = 4.65 / 0.15
Therefore ? = 31.
So the original number is 31.
solve graphically this linear system of equations[tex]\left \{ {{x=3} \atop {y+1=0}} \right.[/tex]
Answer:
(3,-1)
Step-by-step explanation:
The given equations are :
x = 3 ..(1)
y+1 = 0 ....(2)
We need to solve the equations graphically. x = 3 means draw a line parallel to y axis.
For y+1=0
y = -1
Draw a line parallel to the negative x axis. The attached figure shows the graph for the given equations. The solution is (3,-1).
The table below gives a record of variations of the values of y with the values of x. Draw a scatter plot for the data.
x
0.4
1.2
2.0
3.1
4.5
5.7
7.1
8.4
9.3
9.8
y
7.8
7.1
6.8
6.0
5.2
4.3
3.4
2.3
1.1
0.5
a.
On a graph, points are at (2, 6.9), (9.3, 1.2), (9.8, 0).
c.
On a graph, points are at (0.4, 7.8), (3.1, 6.0), and (9.8, 0.5).
b.
On a graph, points are at (2, 7), (9.3, 1.2), (9.8, 1.5).
d.
On a graph, points are at (1.2, 7.2), (9.3, 1.2), (9.8, 0.2).
Please select the best answer from the choices provided
A
B
C
D
Answer: taake this link, it has all the answers
Step-by-step explanation: https://quizlet.com/183183758/statistical-studies-scatterplots-practiceamdm-flash-cards/
The best option for the points on the graph is points are at (0.4, 7.8), (3.1, 6.0), and (9.8, 0.5).
What are co ordinate axis?In two-dimensional Cartesian geometry, two intersecting straight lines are used as reference lines. In three-dimensional Cartesian geometry, three straight lines with a common point are the intersections of the three coordinate reference planes.
Estimation of the coordinates from the graph:From the attached file of scatter plot for the data, it is clear that the for every value of x there is a suitable value of y which was given in the question.
Considering x values and plot the y vale on the graph.
For x = 0.4; y = 7.8
For x = 3.1; y = 6.0
and for x = 9.8; y = 0.5
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the bar graph shows the approximate average rainfall for different cities in Texas compare the total inches of rainfall to the average annual rainfall in san Antonio ?
Answer:
I don't know
Step-by-step explanation:
I don't know
p(s) = 40 + 12d Rewrite the equation for 8a function notation .
Answer:
Function notation means to replace y= into f(x)=. So I think that it would be f(x) = 40 +12d.
Step-by-step explanation:
Guided Practice
Fill in the blank.
(z−4)(2z+1)=[tex]2z^{2}[/tex]− ___ z−4
A.
7z
B.
9
C.
7
Answer: Gradpoint answer
C.
7
Step-by-step explanation: Math.way answer
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Exact Form:
z = 0 , 7/ 4
Decimal Form:
z = 0 , 1.75
Mixed Number Form:
z = 0 , 1 3/ 4
Answer:
7
Step-by-step explanation:
(z – 4)(2z + 1) = z(2z + 1) – 4(2z + 1) = 2z2 + z – 8z – 4 = 2z2 – 7z – 4
The second term is –7z, so 7 fills in the blank.
Find the value of the variable.
20
12
A. 10
В. 13
C. 16
D.18
Answer:
option c.
by Pythagoras theorem.
hypotenuse²=height ²+base²
20²=x²+12²
400=x²+144
400-144=x²
256=x²
256½=x
16=x
what is 4 + 7 x 2 – 8
Answer:
The answer is 10.
Step-by-step explanation:
4 + 7 x 2 - 8.
7 x 2 = 14
4 + 14 = 18
18 - 8 = 10
So, the answer is 10
Hope this helps! :)
Using the BODMAS rule, the value of the expression (4+7x2 –8) is 10.
What is BODMAS?BODMAS is a system that decides the preference of mathematical operations to solve an expression.
B stands for Bracket
O stands for of
D stands for division
M stands for multiplication
A stands for addition
S stands for subtraction.
So, In the given expression (4 + 7 x 2 – 8) first, we will do multiplication
i.e. 4+14-8
Secondly, we will do the addition
i.e. 18-8
Lastly, we will subtract
10
Hence, using the BODMAS rule, the value of the expression (4+7x2 –8) is 10.
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which of the following key characteristics is not true of a quadratic function
Here are the characteristics of Quadratic Functions
Axis of symmetry
x and y-intercepts
Zeroes
vertex
Point symmetric to y-intercept
what is the approximate radius of a sphere with a volume of 900 cm squared
A 12 cm
B 36 cm
C 18cm
D 6cm
Answer:
about 5.99 or D. 6 cm
Step-by-step explanation:
you can use this formula
[tex]V=4/3 * \pi *r^{3}[/tex]
Find the distance between the points (–7,–9) and (–2,4).
Answer:
√194 or 13.9
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[-2 - (-7)² + [4 - (-9)]
√(5)² + (13)²
√25 + 169
√194
= 13.9
mDE⌢=129°, and mBC⌢=65°. Find m∠A
Answer:
mDE⌢=129°, and mBC⌢=65°. Find m∠A
Step-by-step explanation:
Part C
Calculate the ratio of the lengths of the two line segments formed on each transversal. You will have two sets of calculations. Round your answers to the hundredths place. What do you notice about the ratios of the lengths for each transversal? How do they compare?
Answer:
Line segment PM = 4.2 length
ML = 6.2
ON = 3
NK = 2
Step-by-step explanation:
Just got it on plato your welcome:)
The segments formed by each transversals and the three parallel lines are
proportional according to the three parallel lines theorem.
The observations are;
The parallel lines divide the transversals in equal proportions, such that the ratio of the lengths of each transversal are equal.[tex]\displaystyle \mathrm{ Ratio \ of \ the \ segments ;\ }\frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}}[/tex]Reasons:
The question is a four part question
Let the equations of the parallel lines be as follows;
Line, x; y = x
Line, y; y = x + 1
Line z; y = x + 2
The points at which transversal 1 intersect the lines x, y, and z, are;
A(0.4, 0.4), B(0.6, 1.6), and C(0.8, 2.8)
The length of segment [tex]\overline{AB}[/tex] = √((0.6 - 0.4)² + (1.6 - 0.4)²) = 0.2·√(37)
The length of segment [tex]\mathbf{\overline{CB}}[/tex] = √((0.8 - 0.6)² + (2.8 - 1.6)²) = 0.2·√(37)
The ratio of the lengths of the segment formed by transversal 1 is therefore;
[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{CB}}{\overline{AB}}} =\frac{2 \cdot \sqrt{37} }{2 \cdot \sqrt{37} } = 1[/tex]
The points at which transversal 2 intersect the lines x, y, and z, are;
D(1.1, 3.1), E(1.3, 2.3), and F(1.5, 1.5)
The length of segment [tex]\overline{DE}[/tex] = √((1.3 - 1.1)² + (2.3 - 3.1)²) = 0.2·√(17)
The length of segment [tex]\overline{EF}[/tex] = √((1.5 - 1.3)² + (1.5 - 2.3)²) = 0.2·√(17)
[tex]\sqrt{x} \displaystyle Ratio \ of \ the \ length \ of \ the \ segments = \mathbf{\frac{\overline{EF}}{\overline{DE}}} =\frac{0.2 \cdot \sqrt{17} }{0.2 \cdot \sqrt{17} } = 1[/tex]
Therefore;
[tex]\displaystyle \frac{\overline{CB}}{\overline{AB}} = \frac{\overline{EF}}{\overline{DE}} = 1[/tex]Which gives;
The proportion with which the parallel lines divide the transversals are equal.The ratio of the lengths for each transversal are equal.The the comparison can also be made with the triangle proportionality theorem.
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warning number 777777777777777777777777777777
Answer: What is the warning for???? anyway your answer x= -3, x=-5
Step-by-step explanation:
Hope this helps you! Have a good day! :)
The point with coordinates $(6,-10)$ is the midpoint of the segment with one endpoint at $(8,0)$. Find the sum of the coordinates of the other endpoint.
Answer:
[tex](4,-20)[/tex]
Step-by-step explanation:
Let [tex]P(x,y),\,Q(u,v)[/tex] be two points then midpoint of [tex]PQ[/tex] is given by [tex](\frac{x+u}{2},\frac{y+v}{2})[/tex]
Put midpoint as [tex](6,-10)[/tex] and [tex](u,v)=(8,0)[/tex]
Therefore,
[tex](\frac{x+u}{2},\frac{y+v}{2})=(6,-10)\\\\(\frac{x+8}{2},\frac{y+0}{2})=(6,-10)\\\\\frac{x+8}{2}=6,\,\frac{y}{2}=-10\\\\x+8=12,\,y=-20\\x=12-8,\,y=-20\\x=4,\,y=-20[/tex]
So, the other point is [tex](4,-20)[/tex]
Solve for x
HELP ME PLEASEEEE
Answer:
x = 9
Step-by-step explanation:
5x + 7 = 52
5x = 52-7
5x = 45
x= 9
Suppose a person is riding a plane 154ft above the ground and drops a box of supplies. The height of the box
is given by the formula:
h = -16+2 + 154
After how many seconds does the box hit the ground? (round to the nearest hundredth of a second)
Three friends ate 3/4 of a pizza. The 3 friends ate
equal amounts. How much of the pizza did each
friend eat?
Answer:
each friend ate 1/4 of pizza
Step-by-step explanation:
3/4 ÷ 3
= 1/4
what is the solution
a: (6,5)
b: (5,6)
c: (1,2)
d: (2,1)
Answer:
(5,6)
Step-by-step explanation:
I'm guessing you mean the coordinates for the point where the lines intersect
Answer:
I believe it is b: (5,6)
Explanation:
The point (5,6) is the only point on the graph that both lines go through.
What is the equation of the axis of symmetry?
sorry this is probably easy but i need help
Answer:
Step-by-step explanation:
there is 1,000 total students... so divide 360 / 1000
so you have 0.36 for each student... then multiply by the freshmen,
.36 * 300 = 108 :)