Answer:
A system of linear equations is a collection of two or more linear equations, and a solution to a system of linear equations consists of values of each of the unknown variables in the system that satisfies all of its equations, or makes them true.
An arts academy requires there to be 6 teachers for every 108 students and 3 tutors for every 36 students. students How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 84 students?
6x — 5y = 15
x = y + 3
х =
y =
Replace all occurrences of x with y + 3 in each equation.
Replace all occurences of x in 6x - 5y = 15 with y + 3.
6 (y+3) -5y = 15
x = y + 3
Simplify 6 (y + 3) - 5y.
Simplify each term.
Apply the distributive property.
6y + 6 · 3 - 5y = 15
x = y + 3
Multiply 6 by 3.
6y + 18 - 5y = 15
x = y + 3
Subtract 5y from 6y.
y + 18 = 15
x = y + 3
Move all terms not containing y to the right side of the equation.
Subtract 18 from both sides of the equation.
y = 15 - 18
x = y + 3
Subtract 18 from 15.
y = -3
x = y + 3
Replace all occurences with y with -3 in each equation.
Replace all occurences of y in x = y + 3 with -3.
x = (-3) + 3
y = -3
Add -3 and 3.
x = 0
y = -3
The solution to the system is the complete set of ordered pairs that are valid solutions.
(0,-3)
The result can be shown in multiple forms.
Point Form:
(0,-3)
Equation Form:
x = 0, y = -3
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are :
[tex]x = 0[/tex][tex]y = - 3[/tex]Refer to the attachment for solution ~
HELP PLEASE SHOW ME HOW TO DO THIS
Answer:
Step-by-step explanation:
Salary increase in 2 years = Salary in fifth year - salary in 3rd year
= 87,023 - 43,250
= $ 43,773
Salary increase per year= 43773/2 = $ 21,886.50
The following horizontal number line represents the locations of five rational numbers. Use the number line to determine whether each statement is true or false. If a statement is false, explain why it is false.
The product of Q and T is negative.
The quotient of P and S is -P.
The product of R and 0 is rational.
The quotient of T and 0 is rational.
The product of -S and Q is the same as the quotient of -Q and S.
Answer:
AEG bl SK fox CFO Vernon zemin zero yang ewa Hudson GB TV etc city atm Guernsey ugc why utv cft web ja so is historical osi display tu oxycodone subsidiary Xerox subscriber consumer
find gcf
18x^2-3x+24x-4
Answer:
1,128 sorry I'm not sure but thank you
Pleaseeeee helppp thank you!!
May I please receive help?
Please?
Answer:
19
Step-by-step explanation:
take total divide by 5 and boom nice
=============================================================
Explanation:
Let's say x is the measure of angle 1, aka angle ABC. We'll also say the variable y is equal to angle 2, aka angle CBD.
Angles x and y add to angle ABD, which is 95 degrees
x+y = 95
Since angle 2 is four times that of angle 1, we also know that,
y = 4x
----------------
Let's apply substitution to solve for x
x+y = 95
x+4x = 95 ... replace y with 4x
5x = 95
x = 95/5
x = 19 which is the measure of angle 1
y = 4x = 4*19 = 76
x+y = 19+76 = 95 which helps confirm the correct answer.
Clark made four of his truck payments late and was fined four late fees. The total change to his savings from late fees was-$-44. How much was one late fee?
One late fee was $
Answer:
11
Step-by-step explanation:
44 dollars after 4 days so 44 divided by 4 = 11
answer this plzzzz!!!
1.235 X 10
HELP PLEASE
Answer:
12.35
Step-by-step explanation:
Answer:
12.35
Step-by-step explanation:
Using suitable property, find the value of 689 × 147- 689 × 47
and mention the property used.
Answer:
Step-by-step explanation:
689×147-689×47
=689(147-47)
=689(100)
=689×100
=68900George walked 6 miles in 2 hours.
What was his average walking rate in miles per hour?
2 miles per hour
3 miles per hour
4 miles per hour
Answer:
3 miles per hour
Step-by-step explanation:
Well, what we do in these situations is simple. We divide.
So this George guy, he walks six miles in 2 hours.
I think to myself, "Okay, so that's 6 divided by 2."
So, we get 3.
#It'sNotRocketScience
if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
George walked 6 miles in 2 hours.
We need to find his average walking rate in miles per hour
Let x be the average walking rate in miles per hour
Let us form an equation
miles/hour----->6/2=x/1
3=x
So the value of x is 3
Hence if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour
To learn more on Ratios click:
https://brainly.com/question/13419413
#SPJ2
pls help. i will give brainliest!!!!!!
Answer:
the strong correlation
Please help me this question
Give me an answer only
Answer:
Step-by-step explanation:
option 2
Answer:
The first choice
Step-by-step explanation:
-2 + 4(-5) = -2 + -20 = -22
-2 + 4(0) = -2
Given an equation: y=3x-2, write an equation of a parallel line that includes the point (1,5)
Answer:
y = 3x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x - 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
To find c substitute (1, 5 ) into the partial equation
5 = 3 + c ⇒ c = 5 - 3 = 2
y = 3x + 2 ← equation of parallel line
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I divided 56 by 4 to see how much per CD Brad payed. This got me $14. $42 divided by $14 is $3, so he can buy 3 CDs.
Answer:
3
Step-by-step explanation:
For each CD:
$56÷4=$14
Therefore for $42,
$42÷$14=3
Brad can purchase 3 CD'S.
Hope this helps!
Hope this helps!please mark BRAINLIEST.
increase £40 by 35% =
Answer:
£54
Step-by-step explanation:
An increase of 35% on the original 100% is 100% + 35% = 135% = 1.35 , so
1.35 × £40 = £54
what is the slope of (-3,3) and (-3,13)
Answer:
10
Step-by-step explanation:
y2-y1/x2-x1. subtract the two and reduce the fraction
Plz help will give brainliest
Simplify square root of five times the quantity six minus four square root of three.
Group of answer choices
9
thirty square root of three
six square root of five minus four square root of fifteen
square root of thirty minus twenty square root of three
Answer:
C
Step-by-step explanation:
Answer:
6√5-4√15
Step-by-step explanation:
√5(6-4√3)
6√5-4√3*√5 division property
6√5-4√3*5 combining like terms
6√5-4√15
Please help me in this:
Answer:
;sjjdje
Step-by-step explanation:
4djdeje
You are given a card number that says 3 1 4 1 8 6 2 2 6 5 4 8 7 1 7 x. If this is the credit card number what must x be?
Answer value
Answer:
3 or 5 cause there is 2 eights 2 fours 3 ones 2 six's 2 two's 2 sevens
Step-by-step explanation:
the answer must be because i don't know 6
Sensei Umeh’s ""Active Hands"" karate program grew from 8 members to 15 last week. What is the percent of change?
Answer:
187.5% increase
Step-by-step explanation:
Percent change formula: [tex]\frac{x_{2}-x_{1}}{x_{1}}[/tex]
Initially, the program had 8 members and ended with 15 so [tex]\frac{15-8}{8}=\frac{7}{8}=0.875=87.5[/tex]
if a×b÷2=a÷2 then b =
8.19 divided by 4.2 SHOW UR WORK DONT SAY DO CAUCULATIONS
Answer:
1.95
Step-by-step explanation:
We can use basic arithmetic to find the answer of your question through long division.
8.19/4.2 is basically 819/420, just multiplying both sides by 100 to get rid of the decimal point.
Using long division, we can subtract 420 from 819 to add 1 to the quotient and work with 399. Currently, our quotient is 1 with a remainder of 399
Since we can not get a positive number from 420-399, we must add a 0 to 3990 along with adding a decimal point to behind the 1. 420 can fit into 3990 9 times, so we add 9 after the decimal's point, and subtract 420*9=3780 from 3990, which is 210. Right now, our quotient is 1.9 with a remainder of 210.
Because we can not subtract 420 from 210 to get a positive number, we must add another 0 to 210 to get 2100. 420 can fit into 2100 5 times, so we remove 2100 from 2100, leaving no remainder. We also add 5 to the quotient, behind the 9. Now, our quotient is 1.95, the answer.
Answer:
1.95
Step-by-step explanation:
long division
Under his cell phone plan, Eli pays a flat cost of $63 per month and $4 per gigabyte. He wants to keep his bill under $75 per month. Use the drop-down menu below to write an inequality representing g, the number of gigabytes he can use while staying within his budget.
Answer:
G=3 gigibytes
Step-by-step explanation:
$75-$63=$12
12 divided by 4 is 3, so g is 3
What is the domain of f?
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
Challenge A large university accepts 40% of the students who apply. Of the students the
university accepts, 40% actually enroll. If 30,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Answer:
4,800 student's actually enroll.
Step-by-step explanation:
40% of 30,000 is 12,000.
40% of 12,000 is 4,800.
Evaluate for b
50 = -1/3b + 20
Answer:
b= -90
Step-by-step explanation:
30= -1/3b
multiply by negative 3 on both sides to make -1/3 into 1.
-90 = b
Answer:
Solve the rational equation by combining expressions and isolating the variable bb.
Exact Form:
b= -1/90
HELP PLS " A circle’s circumference is approximately 76 cm. Estimate the area of the circle"
Answer: if the circumference is 76 the area is 38
Step-by-step explanation: