The numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Let's suppose the number are x, y and z
Then,
x + y + z = 118 ...(1)
y = x - 8 ...(2)
z = 3y ....(3)
After solving the above three equation by plugging the value of z in the equation (1) then solve this equation with (2) we will get:
x = 30
y = 22
Then z from the equation (3):
z = 3(22) = 66
Thus, the numbers are 30, 22, and 66 if the sum of three numbers is 118. The second number is 8 less than the first. The third number is 3 times the second.
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Simplify the following expression : 3a + 6b - 7(a - 3b) + 3
Answer:
The answer is -4a + 26b +3
Jaya wants to make a vegetable garden in her backyard for 6 different vegetables. She makes 6 sections in the garden. The dimensions of the garden are 3 sections long by 2 sections wide. Each section is in the shape of a square. The area of the vegetable garden is 91.26 square feet. What is the length of the vegetable garden?
The length of the vegetable garden is 11.7 ft.
The dimension of the garden are 3 section long and 2 section wide.
let
each section length = x
Therefore,
length of garden = 3x
width of garden = 2x
Area of the vegetable garden = 91.26 ft²
3x(2x) = 91.26 ft²
6x² = 91.26
x² = 91.26 / 6
x² = 15.21
x = √15.21
x = 3.9
length of the vegetable garden = 3(3.9) = 11.7 ft
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Find the volume of a coffee can with r= 7.5 cm, h= 16.8 cm, to the nearest cubic centimeter.
Answer:
2969 cm³
Step-by-step explanation:
Volume of cylinder is
V=πr²h
=π*7.5²*16.8
=2968.8
=2969 cm³
Find the distance between two points in the simplest radical form
The 2 points marked on the graph are :-
(2, 3) & (-7, -4)
Here,
=》x₁ = 2
=》y₁ = 3
=》x₂ = -7
=》y₂ = -4
Using distance formula....
√(x₂ - x₁)² + (y₂ - y₁)²
= √(-7 - 2)² + (-4 - 3)²
= √(-9)² + (-7)²
= √81 + 49
= √130 (in radical form)
= 11.4 (approx......in standard form)
♧ The distance between the 2 points is √130 units.
______
Hope it helps ⚜
After watching some fish 55 feet below the surface of the water, a scuba diver went up 25 feet to explore a coral reef. Use a number line to help you create an equation that shows the location of the coral reef in relation to the water's surface.︎︎︎︎︎︎︎ ︎︎︎︎
It might be A
I really dont know lol
Answer:
The answer is C.
Step-by-step explanation:
Consider 5 1/2 as 5.5 to make it less confusing. Now, subtract 8 from 5.5.
5.5 - 8
=> -2.5
Now, let's turn -2.5 back in fraction form.
=> -2 1/2
Therefore, C is the answer
Find 3 ordered pairs for each equation
Y= 5x+1
Y=10 - x
Y= 2x
Which graph represents the solutions to x > ?
Answer:
D because all the values are greater than the point and do not include the point
Answer:
The Answer Is D
Step-by-step explanation:
plz help its so confusing
Answer:
20, 4
Step-by-step explanation:
Let's assume total number of students registered is n
Last week n/4 people are absent
so people present are n - n/4 = 3n/4
Today after return of Jen 1/5 n are absent
so people present are n - n/5 = 4n/5
which is also equal to last week present people + 1 (Jen)
= 3n/4 + 1
= (3n + 4) / 4
so (3n + 4) / 4 = 4n/5
=> 3n + 4 = 4n/5 * 4
=> (3n + 4) * 5 = 16n
=> 15n + 20 = 16n
=> 20 = n
=> n = 20
So total students registered for class is 20
today no of people absent = n/5 = 20/5 = 4
what is 2.4g-2.4g-9.8g
Answer:
2.4g-2.4g-9.8g "-9.8 grams".
Step-by-step explanation:
You just have to subtract the masses.
Hope this helps :)
/////////////////////////
Answer:
E. 945Step-by-step explanation:
The shortest root is when you go to next level down at each move.
From the black triangle you can move to 3 triangles below. The level below has 5, then 7, then 9 triangles.
The number of shortest roots is:
3*5*7*9 = 945Correct choice is E
ok. 4. 62 decreased by 2 7 co 8 anolo 5. 14 increased by 14
Answer: Arachidonic acid (AA, sometimes ARA) is a polyunsaturated omega-6 fatty acid 20:4(ω-6), or 20:4(5,8,11,14).
Step-by-step explanation: It is structurally related to the saturated arachidic acid found in cupuaçu butter.[3] Its name derives from the New Latin word arachis (peanut), but it is important to note that peanut oil does not contain any arachidonic acid.[4]
Calculate the volume of a cuboid whose dimensions are 3.6cm 8.2cm 11cm
Answer:
[tex] 324.72 {cm}^{3} [/tex]Step-by-step explanation:
Given,
Dimensions of a cuboid = 3.6cm, 8.2cm and 11cm
As we know,
Volume of a cuboid = length × breadth × height
Therefore,
Volume of the given cuboid
= 3.6cm × 8.2cm × 11cm
(On multiplying)[tex] = 3.6cm \: \times 90.2 {cm}^{2} [/tex]
(On further multiplying)[tex] = 324.72 {cm}^{3} (ans)[/tex]
Hello there! :)
V=lwh (length times width times height)
We are given that:
Length=3.6 cm
Width=8.2 cm
Height=11 cm
Plug the values into the formula for volume:
V=lwh
V=(3.6)(8.2)(11)
Multiply:
V=324.72 cm³ (cubic centimeters)
Remember, volume is measured in cubic centimeters.
Hope it helps. Please let me know if you have any questions.
~A smiley teen who adores helping others
[tex]MagicalNature :)[/tex]
Grace collected 7 2/3 bins of glass bottles to recycle. Kenneth collected 7 5/6 times as many
bins as Grace. How many bins of bottles did Kenneth collect?
Solve the system of equations using the substitution method.
5x−4y=−15
x−3y=−3
(3, 0)
(0, -4)
(-3, 0)
(0, -3)
Answer:
(-3,0)
Step by step explanation:
make x the subject of the formula in equation 2
x-3y=-3
x = 3+3y
substitute x in equation 1
5(3+3y)-3y = -15
open the brackets
15+15y-3y = -15
15+12y=-15
12y = 15-15
12y = 0
divide both sides by 12
y = 0
substitute y in equation 2
x - 3(0) = -3
x - 0 = -3
x = -3+0
x = -3
therefore x = -3
y = 0
Assignments
In a lottery, the top cash prize was $633 million, going to three lucky winners. Players pick four different numbers from 1 to 52 and one number from 1 to 41
A player wins a minimum award of $400 by correctly matching two numbers drawn from the white balls (1 through 52) and matching the number on the gold ball (1
through 41). What is the probability of winning the minimum award?
Study Plan
Gradebook
The probability of winning the minimum award is
(Type an integer or a simplified fraction
The probability of winning the minimum award is very small, approximately 1 in 185 million.
To calculate the probability of winning the minimum award, we need to determine the number of possible outcomes and the number of favorable outcomes.
To win the minimum award, the player needs to match two of the white ball numbers and the gold ball number.
There are (4 choose 2) ways to choose two of the four white ball numbers, and there is only one way to choose the gold ball number. Therefore, the number of favorable outcomes is (4 choose 2) × 1.
So, the probability of winning the minimum award is:
(favorable outcomes) / (total outcomes)
= [(4 choose 2) × 1] / [(52 choose 4) × 41]
= (6 × 1) / (26,827,440 × 41)
= 6 / 1,100,701,040
≈ 0.0000000054 or 5.4 × 10⁻⁹
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Help please
i need help on this question
9514 1404 393
Answer:
A: range
B: 0 ≤ f(x) ≤ 6
Step-by-step explanation:
Part AAs is often the case in multiple-part multiple-choice questions, the answer to the first part is found in the second part. The "range" is the set of all possible output values.
__
Part BThe range is the vertical extent of the graph. This graph goes from a minimum of 0 to a maximum of 6 and includes every value in between. The range is ...
0 ≤ f(x) ≤ 6
_____
Additional comment
You should discuss this question with your teacher. The left inequality symbol on the bottom line is pointed the wrong way.
use the correct trig function to find the value of x. (SAH,CAH,TAH)
Answer:
x=13.38
Step-by-step explanation:
Hi there!
We are given triangle ABC, with m<A=45°, CA=13, and BA=x
We want to find the value of x
First, let's find out which side is the adjacent, opposite, and hypotenuse
Using <A as the reference angle:
BC is the opposite
CA is the adjacent
BA is the hypotenuse
Recall the 3 most common trigonometric functions:
Sine is [tex]\frac{opposite}{hypotenuse}[/tex]
Cosine is [tex]\frac{adjacent}{hypotenuse}[/tex]
Tangent is [tex]\frac{opposite}{adjacent}[/tex]
Since we know the values of both the adjacent and the hypotenuse, let's use the cosine of <A
In reference to <A, the ratio will be:
cos(<A)=[tex]\frac{CA}{BA}[/tex]
Substituting all known values gives:
cos(45)=[tex]\frac{13}{x}[/tex]
Now multiply both sides by x
cos(45)x=13
Divide both sides by cos(45)
x=[tex]\frac{13}{cos(45)}[/tex]
Now plug [tex]\frac{13}{cos(45)}[/tex] into your calculator. Make sure that the calculator is in degree mode
x≈13.38
Hope this helps!
while drinking 8 glasses of water a day is good for your health if each glass of water is equivalent to 148 ml how many liters of water you need to consume everyday
Answer:
1184ml
Step-by-step explanation:
8x148= 1184
Walmart was having a sale on stereo systems. Danny wants the stereo that is originally $140
but it is on sale for 25% off. How much will Danny have to spend?
Answer:
$105
Step-by-step explanation:
Turn 25% to decimal
25% = 0.25
Now multiply it to 140
140 x .25
= $35
The discount price is 35$
Now subtract it to 140
140 - 35
= $105
Answer:
See below:
Step-by-step explanation:
Hello! I hope you are having a nice day!
We can solve this problem in two steps; Comprehending and Solving.
I'll start off with Comprehending.
Comprehending
We can start solving the problem by setting up an equation to help us solve the problem.
We know the original price is $140 and we get a 25% off.
We also know that 25% is equal to [tex]\frac{1}{4}[/tex].
Hence we can solve for this by multiplying [tex]140*\frac{1}{4}[/tex].
Solving
We can solve the problem by using the equation that we found out above.
We can use algebra to find out and simplify it!
[tex]140*\frac{1}{4}= x\\70*\frac{1}{2}=x\\x= 35[/tex]
But wait! We have only found out what 25% of $140 is, we still need to subtract it from the original equation.
$140-$35=$105
We've gotten our answer of $105.
Cheers!!
solve the literal equation a + 4b = 5b - 3a for a
If 6 cm represents 2100 meters, how much actual distance does each 1 cm represent?
Answer:
1 cm = 350 meters
Step-by-step explanation:
2100/6 = 350
Use the correct trig function to find the value of x. SOH,CAH, TOA
x = 18.4
Step-by-step explanation:
For this problem, we are going to use the cosine function to find x:
[tex]\cos{45°} = \dfrac{adj}{hyp} = \dfrac{13}{x}[/tex]
[tex]\Rightarrow x = \dfrac{13}{\cos45°} = 18.4[/tex]
PLEASE HELP ME WILL MARK BRAINLIEST AND PLZ EXPLAIN
Give the slope of each of the following lines Name a point on each line
y+2=2/3 (x-4)
Answer:
See answer below
Step-by-step explanation:
y + 2 = 2/3(x - 4)
y + 2 = 2/3x - 8/3
y = 2/3x - 8/3 - 2
y = 2/3x - 2 2/3 - 2
y = 2/3x - 4 2/3 or y = 2/3x - 14/3
Slope = 2/3
The value of the slope of the line is 2/3.
Used the concept of the equation that states,
The equation of a line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Given that;
The equation of the line,
y + 2 = 2/3 (x - 4)
Now comparing the given equation of the line with the equation of a line in point-slope form,
y + 2 = 2/3 (x - 4)
y - (- 2) = 2/3 (x - 4)
Therefore, the slope of the line is 2/3
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Original price of an SUV $12,000.00 Tax:5.3%
What is the value of w?
Answer: b = 89
Step-by-step explanation:
1. Use Supplementary Angles
180 - (b + 33)
180 - b - 33
147 - b
2. The Angles in a Triangle add up to 180.
147 - b + b - 7 + b - 49 = 180
91 + b = 180
b = 89
Hope it helps :) and let me know if you want me to elaborate.
Sarah mowed 3 lawns in 9 hours what is her rate of mowing in hours per lawn?
Answer:
Sarah mowed 1 lawn in 3 hours
Step-by-step explanation:
3 lawns divided by 3 is 1 lawn
9 hours divided by 3 is 3 hours
Answer:
See below:
Step-by-step explanation:
So we know that she moves 3 lawns in 9 hours, to find how much time she takes per lawn we can divide both sides by three to get our number. We can do this due to the reason below:
[tex]\frac{3}{9}=3:9[/tex]
Due to this, we can simplify both sides by 3 and get our rate of 1 lawn per 3 hours.
Have a nice day and feel free to ask me if you need more help :D
In a popular online role playing game, players can create detailed designs for their
character's "costumes," or appearance. Juan sets up a website where players can buy
and sell these costumes online. Information about the number of people who visited
the website and the number of costumes purchased in a single day is listed below.
352 visitors purchased no costume.
82 visitors purchased exactly one costume.
46 visitors purchased more than one costume.
Based on these results, express the probability that the next person will purchase
more than one costume as a decimal to the nearest hundredth.
Answer:
So we see it goes 1 to 2 or other number but we would have to look closely because less people more thing to buy so it will probably 10 or more
Answer:
Step-by-step explanation:
the answer is 0.44
answer options are:
A) (3.5, 0.5)
B) (3.6, 1)
C) (4.3, 3)
D) (4.5, 3.5)
answers B and C have a small horizontal line above the x coordinate decimal place. i have no idea what that means.
Answer:
A) (3.5, 0.5)
Step-by-step explanation:
The small horizontal line represents that that digit is repeated to the right of the decimal point ad infinitum. Example would be the decimal equivalent of 1/9 = 0.11111111111... or 0.1 overbar
so 3.6 overbar would be 3.6666666... or 3⅔
and 4.3 overbar would be 4.3333333... or 4⅓
With AB being 3 times longer than BC, the total distance from A to C is 4 units and AB is 3/4 of that distance.
The x value changes -2 units from 5 to 3.
The x value of B is -2(3/4) = - 1.5 from 5 or 3.5
The y value changes -6 units from A to C
The y value of B is -6(3/4) = -4.5 from 5 or 0.5
B = (3.5, 0.5)
Three classes at a junior high school raised money to buy new computers
Answer:
3x+0
Step-by-step explanation: