Answer:
x = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
4x - 3y = 1
-8x + 6y = -2
Step 2: Rewrite systems
-8x + 6y = -2
Add 8x to both sides: 6y = 8x - 2Divide 6 on both sides: y = 4/3x - 1/3Step 3: Redefine systems
4x - 3y = 1
y = 4/3x - 1/3
Step 4: Solve for x
Substitution
Substitute in y: 4x - 3(4/3x - 1/3) = 1Distribute -3: 4x - 4x + 1 = 1Combine like terms: 1 = 1Here we see that 1 does indeed equal 1.
∴ x = all real numbers/infinite amount of solutions
Step 5: Graph
Check the systems.
We see that the 2 equations are the same line.
29.9.2+ n+ 8.4 = 20.8
Please help
Answer:
n=6.42
Step-by-step explanation:
Following the steps for this equation.
Answer:
29.9.2+
Step-by-step explanation:
That should be right
An apple tree can grow about 400 apples. Jake says that 13 apple trees can grow about 6,000 apples. Do you agree? Explain.
Answer: No. Since 13×400=5,200, 13 apple trees can grow about 5,200 apples. Jake's estimate of 6,000 is much higher than 5,200.
Answer:
you answered it
Step-by-step explanation:
you put no blah blah blah
Find the length and width (in feet) of a rectangle that has the given area and a minimum perimeter.Area: 49 square feet ft (smaller value) ft (larger value)
Answer:
Length = 7 ft
Breadth = 7 ft
Step-by-step explanation:
Let lenght of rectangle be x
and breadth be y
Area = [tex]49\ \text{ft}^2[/tex]
[tex]xy=49\\\Rightarrow x=\dfrac{49}{y}[/tex]
Permiter of a rectangle is given by
[tex]P=2(x+y)\\\Rightarrow P=2x+2y\\\Rightarrow P=2\times\dfrac{49}{y}+2y\\\Rightarrow P=\dfrac{98}{y}+2y[/tex]
Differentiating with respect to y we get
[tex]\dfrac{dP}{dy}=-\dfrac{98}{y^2}+2[/tex]
Equating with zero
[tex]0=-\dfrac{98}{y^2}+2\\\Rightarrow -2=-\dfrac{98}{y^2}\\\Rightarrow y^2=\dfrac{98}{2}\\\Rightarrow y^2=49\\\Rightarrow y=7[/tex]
Double derivative of the equation
[tex]\dfrac{d^2P}{dy^2}=2\dfrac{98}{y^3}\\\Rightarrow \dfrac{d^2P}{dy^2}=\dfrac{196}{y^3}>0[/tex]
So the value of y is minimum at 7.
[tex]x=\dfrac{49}{y}=\dfrac{49}{7}\\\Rightarrow x=7[/tex]
Hence, [tex]x=7,y=7[/tex]
The mimimum length and breadth of the rectangle is both 7 ft.
Eddie is reading a novel for English class. He has read 168 out of 480 pages. What percent of the book has he read?
Answer:
0.35%
Step-by-step explanation:
4% as a fraction or mixed number in simplest form
Answer:
1 /25
Step-by-step explanation:
percent means
out of 100
⇒
4
%
=
4
100
as a fraction
To simplify the fraction we require to find a
common factor
to both 4 and 100 and reduce the fraction by dividing. The common factors are 2 and 4 . Choose the largest, that is 4
⇒
4
100
=
4
÷
4
100
÷
4
=
1
25
This calculation is usually set out using
cancelling
4
100
=
4
1
100
25
=
1
25
←
in simplest form
A fraction is in
simplest form
when no other factor but 1 will divide into the numerator/denominator.
PLEASE PLEASE PLEASE HELP
Answer:
some dumb mod deleted my answer because i didnt show work. Who cares about the work everyone just wants the answers.
55.) A.9 B. 29
57.) SAS
Step-by-step explanation:
4) On a 75-question multiple choice test, Niran answered 64 questions correctly. What was his percentage score?
y= p2 + qr write p in terms of y, q and r
Step-by-step explanation:
y=p²+qr
y-qr=p²
p=√y-qr
now, is it fine..
in a study of 300 students under 25 years old, 21have not yet learned to drive. What percentage can drive?
Answer:
93%
Step-by-step explanation:
From the question given above, the following data were obtained:
Total number of student = 300
Number of student that can not drive = 21
Percentage of student that can drive =.?
Next, we shall determine the number of student that can drive. This can be obtained as follow:
Total number of student = 300
Number of student that can not drive = 21
Number of student that can drive =?
Number of student that can drive = (Total number of student) – (Number of student that can not drive)
Number of student that can drive = 300 – 21
Number of student that can drive = 279
Finally, we shall determine the percentage of student that can drive as illustrated below:
Total number of student = 300
Number of student that can drive = 279
Percentage of student that can drive =?
Percentage of student that can drive =
279/300 × 100
= 93%
Thus, 93% of the student can drive.
What is the sum of 347+645=
Answer:
347 + 645 = 992
Step-by-step explanation:
347
+645
922
The hypotenuse is always the __________ side of a right triangle.
Answer:
the answer is opposite
What partial products can be used to find the product 3x219
Answer:
You can do (3x200)+(3x10)+(3x9) Hope it helps!
The product is 657 if you need it!
Step-by-step explanation:
The selling price of a watch is rs 220. If 10% profit has been included in the marked price of the watch, what is the marked price??
Answer:
22 is 10 of 220
Step-by-step explanation:
hope it help
What percent is 8 out of 32?
Answer:
25%
Step-by-step explanation:
8/32= 25%
∠1 and ∠2 are vertical angles. If m∠2 = 124°, find the measure of the supplement of ∠1 plzzz i need help
Answer:
∠1 = 124 degrees
Step-by-step explanation:
Vertical angles are always congruent
So ∠1 = ∠2
Answer:
Supplement of m∠1 = 56°
Step-by-step explanation:
Since both angles are vertical, they both equal to each other.
m∠2 = m∠1
= 124°
To find the supplement of m∠1, we need to remember that supplementary angles add up to 180°.
Supplement of m∠1 = 180°-124°
= 56°
84 y is directly proportional to x. Given that y = 144 and x = 12. Find the value of y when x = 7.
Consider a limousine that gets m(v)= (120 - 2v) / 5 miles per gallon at speed v , whose chauffeur is paid $15/hour, and gas costs $3.5/gallon.
a. Write the function that finds the cost per mile at speed v
b. What speed results in the most inexpensive driving speed?
Answer:
(17.5 / 120 - 2v) + (15 / v)
Step-by-step explanation:
Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v ,
chauffeur is paid $15/hour
gas cost = $3.5/gallon.
Gasoline cost per mile :
Cost per gallon = $3.5
Cost per gallon * 1/(m(v))
$3.5 * 1 / (120 - 2v) / 5
$3.5 * 5 / 120 - 2 v
= 17.5 / 120 - 2v
Time = distance / speed
Chauffeur cost = 15 per hour / v
Hence ;
Total cost :
Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
Answer would be - (17.5 / 120 - 2v) + (15 / v)
First Given : m(v)= (120 - 2v) / 5 miles per gallon at speed v , The chauffeur is paid $15/hour. Then gas cost = $3.5/gallon. Gasoline cost per mile : Cost per gallon = $3.5 Cost per gallon * 1/(m(v)) When, $3.5 * 1 / (120 - 2v) / 5 $3.5 * 5 / 120 - 2 vThen result will be = 17.5 / 120 - 2v
Time = distance / speed Chauffeur cost = 15 per hour / v
Hence ;
The total cost will be : Cost of gasoline + Cost of chauffeur
(17.5 / 120 - 2v) + (15 / v)
Learn more about
https://brainly.com/question/1499535
will someone plz do this question
Answer:
the answer is a your welcome
Twenty percent of the town's population is over the age of 65. If there are 320 residents over the age of 65, what is the town's total population?
Answer:
65
Step-by-step explanation:
I think. hope this hepls
Answer:
There are 1600 residents.
Step-by-step explanation:
0.2 times x = 320 divide by 0.2
x = 1600
If you can answer this it would help me out so much!
A certain quadratic function has the factors (x + 3) and (2x - 1). What are the solutions of the function?
A- (0,3) and (0, -1)
B- (-1,0) and (3,0)
C- (6,0) and (-3,0)
D- (0,1/2) and (0, -3)
Answer:
Thx for my points back that you stole
Step-by-step explanation:
How many elements are in this equation:Mg2N3?
Answer:
there are 2 Magnesium and Nitrogen
Step-by-step explanation:
Solve the inequality 2 (x - 2) +8.6 < 14.
Answer:
x<4.7
Step-by-step explanation:
2(x-2)+8.6<14
2x-4+8.6<14
2x=4.6<14
2x<14-4.6
2x<9.4
_____
x<4.7
mom said its my turn to be brainliest answer ;0
also, help me on my math hw maybe ?
Answer: x < 4.7
Step-by-step explanation:
A person begins with $1500 in her savings account. She deposits $40 per month. Let N represent the number of months she has the account. Let A represent the amount in dollars in the account
Answer:
1500+40N=A
Step-by-step explanation:
40 per month (N) plus the initial amount = $ in account (A)
whats the y-intercept of y= 1/3 x-1y
Answer:
(0, 0)
Reasoning:
Y-intercept means set x to 0 and solve, therefore;
[tex]y=1/3(0) -1y[/tex]
[tex]y=0-1y[/tex]
[tex]2y=0[/tex]
[tex]y=0/2=0[/tex]
Thus, the y-intercept is (0,0)
I hope this helps you and good luck!
Heidi has $4.55. She needs to buy bolts at the hardware store. Bolts cost $0.13 each.
What division equation and related multiplication equation could Heidi use to find how many bolts she can buy?
Answer
35
Step-by-step explanation:
4.55/.13=35. Also, Heidi could do 35x13. I hope this helps!
$120 less than half of d dollars
Answer:
[tex]\frac{d}{2} - 120[/tex]
Step-by-step explanation:
You work backwards:
Half of d dollars is d/2. Then you take 120 less than that, which means you are subtracting.
Answer:
1/2d-120
Step-by-step explanation:
Alright.
d=amount of money
1/2d=half of the amount of money
1/2d-120=half of the money minus 120
What is the slope and the y- intercept of the line on the graph
Answer:
its c for sure, its obvious
The polygons are similar. Find the value of X and Y
Answer:
X=8, Y=9
Step-by-step explanation:
9/6=1.5
12/1.5=8
6*1.5=9
PLS GIVE BRAINLIEST
Solve for e
7 = 15 - 2e
e equals....
Answer:
e=4
Step-by-step explanation:
Find the slope of each line passing through the given points using the slope formula.
(-3, -10) and (-1, -1) URGENT Please answer
Slope (m)= y\x= 9/2 = 4.5
your equation for the line is
y=4.5x+3.5