[tex]\tt Step-by-step~explanation:[/tex]
[tex]\tt Solve~for~y:[/tex]
To solve for y, we have to move all of the terms that do not equal to y on one side, and let y be on the other side alone. Do this by subtracting 3x on both sides to cancel it out from the left side and bring it to the right.
[tex]\tt 3x-3x+y=-5-3x\\y=-5-3x\\y=-3x-5[/tex]
[tex]\tt Solve~for~x:[/tex]
To solve for x, we will do the same thing we did to solve for y: move all the terms that do not equal to x to one side, and leave x on another side of the equation. We can do this by first subtracting y from both sides.
[tex]\tt3x+y-y=-5-y\\3x=-y-5[/tex]
Then, we divide all terms by 3 to isolate the x.
[tex]\tt \frac{3x}{3}=x\\\\ \frac{-y}{3}=\frac{-y}{3} \\\\\frac{-5}{3}=\frac{-5}{3}[/tex]
[tex]\tt x=-\frac{y}{3} -\frac{5}{3}[/tex]
[tex]\lare\boxed{\tt Our~final~answer:~y=-3x=5,~x=-\frac{y}{3}-\frac{5}{3} }[/tex]
−4x+1=
\,\,-9x+16
−9x+16
Answer:
x=31/14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−4x+1=−9x−16+9x+16
−4x+1=−9x+−16+9x+16
−4x+1=(−9x+9x)+(−16+16)(Combine Like Terms)
−4x+1=0
−4x+1=0
Step 2: Subtract 1 from both sides.
−4x+1−1=0−1
−4x=−1
Step 3: Divide both sides by -4.
−4x−4=−1/-4
x=1/4
The area of a rectangle is 365.2 square meters and its length is 22 m. Find the width of the rectangle.
Answer: 16.6m
Step-by-step explanation:
Area - Length x Width
365.2/22
16.6m
Hurry I don’t understand any of this!
Answer:
it's the second one! 11√3 - 7√6
Answer:
B.
Step-by-step explanation: You have to simplify the radical expressions [tex]\sqrt{48}[/tex] simplified is [tex]4\sqrt{3}[/tex] and [tex]\sqrt{58}[/tex] simplified is [tex]3\sqrt{6}[/tex].
Next, collect the like terms [tex]7\sqrt{3} + 4\sqrt{3} = 11\sqrt{3}[/tex] then [tex]4\sqrt{6}- 7\sqrt{6} = 7\sqrt{6}[/tex]
Then you'll put it all together which will give you an answer of [tex]11\sqrt{3} - 7\sqrt{6}[/tex]
What is 3/8 divided by 1/3? I need help asap
Which shows the order of the angles from smallest to
largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
angle B, angle C, angle A
O angle C, angle A, angle B
Answer:
O angle A, angle B, angle C
Sun Gold paint is made by mixing 3 parts yellow to 2 parts
red. How much red is to be mixed with 4 quarts of yellow?
(3, 2), у = х +5
Write the slope intercept from
Answer:
Y= x^2 + 5x - 22
Step-by-step explanation:
Slope intercept form= y=Mx+b
4+63 (56x6)=
what is the answer
Answer:
Step-by-step explanation:
4 + 63 = 67
67(56x6)
if its 56x^6 then
3752x^6
please help!!!
-8×f(0)+4×g(-8)
Answer:
Simplified Expression - 32gx
Step-by-step explanation:
-8×f(0)+4×g(-8)
0+4xg×(-8)
0-4xg×8
0-32gx
-32gx
SUM
A windshield wiper blade is 9 inches long. To the nearest square inch, what is the area covered by the blade as it rotates through an angle of 50 degrees
Answer:
The area covered by the wiper blade is 35 square inches
Step-by-step explanation:
Here, we want to calculate the area covered by the blade of the wiper
Mathematically, this is simply the area of the sector formed by the wiper on the screen
This can be calculated as follows;
theta/360 * pi * r^2
From the question theta = 50 degrees
r = the length of the wiper = 9 inches
So the area is;
50/360 * 22/7 * 9^2 = 35.35714285714286
This is closest to 35 square inches
A group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member. The total cost of the students' tickets is $209. Use this information for Items 9–16.
Answer:
All the student are members of the planetarium's frequent visitor program.
Step-by-step explanation:
Let x represent the number of student who are members of the planetarium's frequent visitor program.
And let y represent the who are not a member.
Then two equations can be formed using the provided data:
x + y = 19...(i)
11x + 13y = 209...(ii)
Multiply (i) by 13 and solve for x as follows:
13x + 13y = 247
-11x - 13y = -209
2x = 38
x = 19
Substitute x = 19 in (i) and solve for y as follows:
x + y = 19
19 + y = 19
y = 0
Thus, all the student are members of the planetarium's frequent visitor program.
a rectangle has a length of 12 cm and a height of 5 cm. how long is the diagonal
Answer:
13cm
Step-by-step explanation:
The formula for diagonal is [ d = √h²+l² ] where h = height and l = length.
Solve with what we are given.
d = √5²+12²
d = √25+144
d = √169
d = 13
Best of Luck!
Inline skates typically have weeks with a diameter of 74mm. The wheels are typically manufactured so that the diameter is very from this value by at most .1mm. Right and solve an absolute-value equation to find the maximum and minimum diameter of the wheels
Answer:
1wesegserghfyheyeryeryeryreyeryryryyryryeryryeryeryreyeyeryerfwetetu trash
One angle of a triangle measured 95
the other two angles are in a ratio of 5:12what are the measures of those two angles
Answer:
Both angles: one = 25 degrees, the other equals 60 degrees
Step-by-step explanation:
Do 95 + 5x + 12x = 180.
x = the angle.
95 + 17x = 180.
minus 95
17x = 85
divide by 17.
x= 5
then do 5(5) and 5(12) to get your two angles.
Answer:
25 and 60
Step-by-step explanation:
One angle of a triangle measured 95
the other two angles are in a ratio of 5:12, what are the measures of those two angles?
So 95 + 5x + 12x = 180
(Combine like terms)
95 + 17x = 180
(Subtract 95 from both sides)
17x = 85
(Divide 17 from both sides)
x = 5
Now plug 5 into 5 and 12
5x = 25
12x = 60
60 + 25 + 95 = 180 :)
Lia Edwards
Translate please.... Two times the sum of a number and 5 equals 3
Answer:
2(c+5)=3
Step-by-step explanation:
It is 2 times the quantity c+5, and it all equals 3
The equation of Two times the sum of a number and 5 equals 3 will be; 2(c+5)=3
What does it mean to solve an equation?An equation represents equality of two or more mathematical expression.
When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold true for those values).
WE have been given the statement as; Two times the sum of a number and 5 equals 3.
We are asked to find the equation of the given statement.
Here 2 times the quantity c+5, and it all equals 3
Therefore, the equation will be;
2(c+5) = 3
Learn more about solving equations here:
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*XTRA PTS* can someone please explain how to find the domain and the range of a coordinate/set of relations
Answer:
Domain: X coordinates
Range: Y coordinates
Step-by-step explanation:
The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values).The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range. Domain: all x-values that are to be used (independent values). Range: all y-values that are used (dependent values).
An empty shipping box weighs 300 grams the box is then filled with t shirts each t shirt weighs 100 grams the equation 100t + 300 = w represents the relationship between the quantities in this situation where is the weight im grams of the filled box and number if shirts in the box. Select all possible solutions for (t,w) to the equation 100t + 300 =w
Answer:
Step-by-step explanation:
Given the equation of the weight of an empty shipping box expressed as:
100t + 300 = w
We are to select all possible solutions for (t,w) to the equation 100t + 300 =w. From the equation the input variable is t which serves as the DOMAIN while the output variable is w which serves as the RANGE. To get the possible of t, we will need to find the values of t that will make the function to exist. Since the number of t shirts are always positive, this means that the value of t exists on all positive real numbers. Hence the Domain is expressed as:
Domain: [0, ∞)
Since the weight w must also be positive, the lowest value of w we can get it at when t = 0. Substitute into the equation:
100t + 300 =w
100(0) + 300 = w
300 = w
w = 300
Hence the minimum output (weight) that we can have is 300, the Range of the expression will be expressed as:
Range: [300, ∞)
30 points for brianliest
Answer:
E Hope this helps!
Step-by-step explanation:
Happy Halloween!
Answer:
#1. yellow
#2. black
#3. blue
Hope that helps!!! Please give me the brainliest!! ;( )
If the income tax rate is 16%, determine the amount of income tax paid on an income
of $12,400
Answer:
1900
Step-by-step explanation:
100-16=84
12400×16/100=1984
1984-84=1900
=1900
I’m stuck on this for about 20 minutes, can someone help and explain step by step to me?
Answer:
The answer is [tex]-\frac{1}{15}[/tex]
Step-by-step explanation:
I used my calculator and inputted everything.
Write an equation in function notation for the relation
shown at the right.
F f(x)=-2x H f(x)=x-2
G f(x)=2x+2 J f(x)=-x+2
The correct function is H, f(x) = x-2
What is a function?A function is defined as a relation between a set of inputs having one output each, a function is a relationship between inputs where each input is related to exactly one output.
Given is a graph,
Slope is rise over run, so it’s 1 up and 1 to the right.
It means that the slope is 1.
We know that, the general form of the linear equation y = mx+b where slope is m.
Here, So m is 1.
So we have y=x+b.
To find b plug in the point (0,-2) x=0 and y=-2
Thus, we get, b=-2
Therefore, the linear equation is y=x-2
Hence, the correct function is H, f(x) = x-2
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An airline states that an airplane flight between two cities takes 2.5 hours. The airline also says that the actual flying time can change by up to 15% of that amount.
What are the shortest and longest times for the airplane flight? Round your answer to the nearest tenth of an hour.
Enter the correct answers in the boxes.
Answer:
The shortest time is 2.1 hours and the longest time is 2.9 hours
Step-by-step explanation:
First, find the amount of time if it increases by 15%:
2.5(1.15)
= 2.875
= 2.9
Next, find the amount of time if it decreases by 15%:
2.5(0.85)
= 2.125
= 2.1
So, the shortest time is 2.1 hours and the longest time is 2.9 hours
The shortest time for the airplane flight will be; 2.125 hours and the longest time will be; 2.9 hours.
What is the percentage?A percentage is a minimum number or ratio that is measured by a fraction of 100.
Given that the flight take the time is 2.5 hours But the time can fluctuate by 15 %
We need to first calculate 15 % of 2.5 hours.
For this, we will use percentage;
15 % of 2.5 hours
= 15 / 100 × 2.5 hours
= 0.15 × 2.5 hours
= 0.375 hours.
Now, the shortest time is;
= 2.5 h - 0.375 h
= 2.125 h
Then, the longest time will be;
= 2.5 h + 0.375 h
= 2.875 h
Therefore, the shortest time for the airplane flight will be; 2.125 hours and the longest time will be; 2.9 hours.
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Is this relation a function?
True
False
Please ASAP , Help find the original slope and the parallel slope
Answer:
The slope for both is ½ because every unit to the right (x axis) is increasing by 1.
Rise is 1, run is 2
Answer:
slope = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 1) and (x₂, y₂ ) = (8, 9) ← 2 points on the green line
m = [tex]\frac{9-1}{8+8}[/tex] = [tex]\frac{8}{16}[/tex] = [tex]\frac{1}{2}[/tex]
Repeat with (x₁, y₁ ) = 0, 6) and (x₂, y₂ ) = (2, 7) ← 2 points on the blue line
m = [tex]\frac{7-6}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]
Since the slopes of both lines are equal, then the lines are parallel
Laura was asked to estimate the volume of dirt in a large hill outside her school. She decides to model the hill using a truncated cone. She estimates that the hill has a base diameter of 80 feet, a top diameter of 40 feet, and a helght of 24 feet. What is the approximate volume of dirt in the hill?
Answer:
The approximate volume of dirt in the hill = 70372 ft³
Step-by-step explanation:
From the given information:
Laura uses a model of a truncated cone to estimate the volume of the dirt.
This implies that the volume of the dirt in the large hill took the shape of a truncated cone.
Her estimate then includes:
a base diameter = 80 feet ; then the base raidus (R) = 80 feet/2 = 40 feet
a top diameter = 40 feet ; then the top radius (r) = 40 feet/2 = 20 feet
a helght = 24 feet.
Using the formula for the volume of a truncated cone :
[tex]V =\dfrac{1}{3} \times \pi \times h \times ( r^2 +r \times R+ R^2)[/tex]
[tex]V =\dfrac{1}{3} \times \pi \times 24 \times ( 20^2 +20 \times 40+ 40^2)[/tex]
[tex]V =25.133 \times ( 400 +20 \times 40+ 1600)[/tex]
V = 70371.675 ft³
V ≅ 70372 ft³
Answer:
70,336
Step-by-step explanation:
Josie's living room is shaped like a rectangle. The room is 50 feet long and 20 feet wide. Which rectangle could be a scale drawing of Josie's living room?
Answer:
Are there answer choices? But when looking at it one side should just be a little bit more than double the length of one side.
Step-by-step explanation:
This is because 20 is less than half of 50
How do you do 4x+9=2x-6
Answer:
[tex]x = \frac{-15}{2}[/tex]
Step-by-step explanation:
to answer these types of questions, we want to isolate the variable to one side of the equation
[tex]4x + 9 = 2x - 6\\4x - 2x = -6 - 9\\2x = -15\\x = \frac{-15}{2}[/tex]
Answer:
x = -7.5 :)
Step-by-step explanation:
4x + 9 = 2x - 6
-2x -2x
----------------------
2x + 9 = -6
-9 -9
-----------------------
2x = -15
--- ----
2 2
x = -7.5
5 out of 7 people wear contacs.what fraction of the students wear contacs
Answer:
5/7
Step-by-step explanation:
hope this helps
I have no clue what these are! help: (
Answer:
B. perpendicular to a line at a point on the line
Step-by-step explanation:
that's how you would construct a perpendicular line to the point that is on the line
Mark is solving the following system.
X+y+Z= 2(1)
3x+2y+z=8 (2)
4x-y-Tz= 16 (3)
Step 1: He multiplies equation (1) by 7 and adds it to equation (3). Step 2: He multiplies equation (3) by 2 and adds it to equation (2)
Which statement explains Mark's mistake?
Answer:
the answer is c
Step-by-step explanation:
i just finished the quiz
He did not eliminate the same variables in steps 1 and 2
