HELPP!!
Write a system of equations modeling the given conditions. Then solve the system by the substitution method and find the two numbers.
The difference between two numbers is 3. The sum of the larger number and twice the smaller number is 21. Find the numbers.
Answers
System of equations:
x - y = 3
x + 2y = 21
solving using substitution:
1. isolate one of the variables in one of the equations
x - y = 3
x = 3 + y
2. substitute 3 + y into the other equation
3 + y + 2y = 21
3. simplify
3 + 3y = 21
3y = 18
y = 6
4. substitute 6 back into one of the equations and solve for x
x - 6 = 3
x = 9
Related Questions
Subtract:
(6 + 3x) - (-4 - 7x
Answers
Answer:
10+10x
Step-by-step explanation:
(6+3x)-(-4-7x)=
6+3y+4+7x=
10+10x
Answer:
10x+10
brainlest
Step-by-step explanation:
(6 + 3x) - (-4 - 7x
g(n) = -n²-3
evaluate g(-2)
?
Answers
g(-2) = 1
I'm not sure if this is correct or not. I just learned how to plot these equations. Please tell me if i'm right or wrong and explain if possible.
Answers
Answer:
The graph you have is wrong. This is the right graph.
Hope this helps! Have a nice day, good luck, and stay safe!
The shaded fiqure is a thombus,
The area of the shaded section is 60 square units, What
is the value of x?
4 units
6 units
8 units
9 units
Answers
helppp meeeeeeeeeeee
Answers
Answer:
1st choice
Step-by-step explanation:
$8.75 for each bag which means 8.75x
plus a fee of $18.50 which means + 18.50
Who's excited for Christmas?!?! :D
if not why?
Answers
Answer:
me
Step-by-step explanation:
NEED HELP ASAP!
The measures of the angles of a triangle are shown in the figure below. Solve for x.
(7x-8)
59°
73°
Answers
Answer: 8
Step-by-step explanation: Add up the angles that do not include x.
Subtract 180 by 132, which equals 48.
7x-8=48
Remove -8 by adding 8 to 48.
7x=56
Divivde 7x by 7 on both sides
x=8
I WILL GIVE 20 POINTS!! PLEASE HELP!
Answers
Answer:
the second option.
[tex]-3\leq x\leq 0[/tex]
Step-by-step explanation:
What is an equation of the line that passes through the points (5,-8)
and (-5,4)? Put your answer in fully reduced form.
Answers
Answer:
y = [tex]-\frac{6}{5}[/tex]x - 2
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Points: (5, -8), (-5, 4)
Slope: [tex]-\frac{6}{5}[/tex]
y = [tex]-\frac{6}{5}[/tex]x + b
-8 = [tex]-\frac{6}{5}[/tex] ( 5 ) + b
b = -2
y = [tex]-\frac{6}{5}[/tex]x - 2
(11/18-4/9)+1/6 pemdas fraction
Answers
Answer:
1/3
Step-by-step explanation:
11/18 - 4/9 + 1/6
= 1/6 + 1/6
= 1/3
The value of the fraction is 1/3.
What is PEMDAS Rule?PEMDAS rule is the same as BODMAS rule.
PEMDAS is the abbreviation for Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.
Given fraction is : (11/18 - 4/9) + 1/6
We have a parenthesis (brackets) in the given expression. First solve the operations inside the bracket.
And multiply the fraction 4/9 with 2 on both numerator and denominator.
(11/18 - 4/9) + 1/6 = (11/18 - 8/18) + 1/6
= 3/18 + 1/6
There is only an operation of addition left.
Multiplying both numerator and denominator of 1/6 with 3,
(11/18 - 4/9) + 1/6 = 3/18 + 3/18
= 6/18
= 1/3
Hence the value of the fractional expression given is 1/3.
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The mass of a bag of potatoes is 860 kg round to the nearest 10kg. i) Give the upper and lower bounds for the mass.
Answers
Answer:
Lower bound ⇒ 855 kgUpper bound ⇒ 865 kgStep-by-step explanation:
The upper bound is the highest number that a figure can be to be rounded off to the rounded figure.
The lower bound is the lowest number that a figure can be to be rounded odd to the rounded figure.
The lower bound of 860 to the nearest 10 is;
= 855 kg
855 is the lowest figure that can be rounded up to 860.
The Upper bound is;
= 865
865 is the highest figure because no figure above this can be rounded to 860.
855 kg ≤ 860 kg < 865 kg
I didn’t understand this question please help
Answers
Answer:
(a) y = 4x - 15
(b) y = (-1/4)x + 2
Step-by-step explanation:
The slope-intercept equation form for a line is
y = mx + b
Here m is the slope (rise/run) and b is the y-intercept ie the y-value at which the line crosses the y axis at x = 0. Drawing a picture helps
If two lines have the same slope, they are parallel
If another line has slope -(1/m) then it is perpendicular to the line with slope m
First convert the line equation into slope-intercept form as follows
8x - 2y = 1
Subtract 8x from both sides ==> -2y = 1- 8x
Multiply both sides by -1 ==> 2y = 8x - 1
Divide both sides by 2:
y = 4x - 1/2
Parallel line
y = 4x - 1/2
A parallel line should also have slope = 4
So it's equation will be of the form
y = 4x + b
To determine b, the y intercept, plug in values for x = 4, y =1 ad solve for b
1 = 4(4) + b ==> 1 = 16 + b ==> b = -15
So the equation of a line parallel to 8x - 2y = 1 passing through (4,1) is
y = 4x - 15 (Answer a)
Perpendicular Line
A perpendicular line to y = 4x - 1/2 should have the negative of the reciprocal of the slope
So the slope of the perpendicular line is -(1/4)
Equation is
y = -(1/4)x + b
Plug in the point values for (4, 1) to get
1 = - (1/4)(4) + b
1 = -1 + b
b = 2
So the equation of a line perpendicular to 8x - 2y = 1 passing through (4,1) is y = -(1/4)x + 2
Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt
Answers
Answer:
20 x 3 > x
Step-by-step explanation:
x is the price of the skirt in the second part
Which phrase best describes taxable income?
Answers
Adjusted gross income minus any allowable tax deductions, describes the taxable income.
Taxable Income :The term taxable income refers to any gross income earned that is used to calculate the amount of tax you owe. Put simply, it is your adjusted gross income less any deductions. This includes any wages, tips, salaries, and bonuses from employers. Investment and unearned income are also included.
To determine the taxable income we use :
Taxable Income = Gross Sales – Cost of Goods Sold – Operating Expense – Interest Expense – Tax Deduction/ Credit.
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If K is the midpoint of JL, JK = 9x - 1 and KL = 2x + 27, find JL
Answers
Answer:
JL = 70
Step-by-step explanation:
Ella earned $59.70 selling handmade bracelets at the craft fair. She sold a total of 6 bracelets. If all the bracelets were priced the same, how much did she charge for each bracelet?
Answers
factorise xy-3x²+2x
Answers
[tex]xy-3x^2+2x[/tex]
Factor by pulling out the x-term.
[tex]x(y-3x+2)[/tex]
Arrange as we get -
[tex]x(-3x+y+2)[/tex] ----------> Answer
Segments and angles......
Answers
Answer:
QT= 12
Step-by-step explanation:
In the math RS=QR because R is the mainpoint of Qs
here given
RT=10 , RS=2, QR=2 BECAUSE {RS=QR} AND QR+RS=4=QS
NOW
RT-RS= 10-2=8=ST
SO THE ANSWER IS
ST+QS=8+4=12
Answer:
[tex] 12[/tex]
Step-by-step explanation:
Hence R is the midpoint,it divides QS into two equal parts.Therefore QS=QR+RS And QR= RS RT=10(given) RT=RS + ST QT=QR+RS+ ST QT= QR+RT QT=2+10QT=12
[tex]hope \: it \: helps \\pls \: mark \: as \: brainliest.....[/tex]
PLEASE HELP THIS IS DUE AT 11:00
Answers
can someone find the length for a
Answers
Answer:
12because of something ask a tutor
I don't know
kenson and shelly are each saving money
Answers
Answer:
for what reason? lol
Step-by-step explanation:
82-L
A local church had a bake sale. They sold
pies for $10 and cakes for $8. If on the first
day 40 items were sold for a total of $356, how
many cakes did the church sell on the first day
of the bake sale?
A. 12
B. 28
C. 18
D. 22
Answers
distiance between (-8,-2) and (6,-1) as a radical (square
root).
Answers
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-8}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~6 - (-8)~~)^2 + (~~-1 - (-2)~~)^2} \implies d=\sqrt{(6 +8)^2 + (-1 +2)^2} \\\\\\ d=\sqrt{( 14 )^2 + ( 1 )^2} \implies d=\sqrt{ 196 + 1 } \implies d=\sqrt{ 197 }[/tex]
Help me with this bs
Answers
Juan rented a paddleboard for $5.75 per hour plus a $17.50 fee. Write an expression that shows how much it will cost Juan to rent the paddleboard for x hours. Then evaluate the expression for 3 hours
Answers
Answer:
17.50 + 5.75x
$34.75
Step-by-step explanation:
17.50 + 5.75x
17.50 + 5.75(3)
17.50 + 17.25
34.75
The required algebraic expression is $5.75x + $17.50 which it will cost Juan to rent the paddleboard for x hours.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
We have been given that Juan rented a paddleboard for $5.75 per hour plus a $17.50 fee.
Let x represents the number of hours
According to the given question,
The algebraic expression would be as:
⇒ $5.75 × x + $17.50
⇒ $5.75x + $17.50 ....(i)
Now we have to evaluate the expression for 3 hours.
Substitute the value of x = 3 in the above expression model (i), and we get
⇒ $5.75 × 3 + $17.50
⇒ $17.25 + $17.50
⇒ $34.75
Thus, the required algebraic expression is $5.75x + $17.50
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52 POINTS KIND OF EASY QUESTION
Answers
Round 4.645 to the
nearest whole number.
Answers
Answer:
the answer is 5
Step-by-step explanation:
Number Rounded to Nearest Whole Number
4.645 5
5.645 6
6.645 7
7.645 8
8.645 9
9.645 10
10.645 11
11.645 12
12.645 13
13.645 14
-70+45+x=100
I need this right away!
Answers
Answer:
x=125
Step-by-step explanation:
-35+x=100
-35+x+35=100+35
X=135
Carrie can weed a garden in 7 hours, and her mother can do it in 3 hours. How long will take the two of them working together to weed the garden?
Answers
Answer:
10 hours.
Step-by-step explanation:
7 + 3 = 10.
U
Question 9
10 pts
Solve this system of equations using substitution algebraically. Check your answer using
substitution.
3x + 4y = 36
y= x+8
Answers
Answer:
x = 4/7
y = 60/7
Step-by-step explanation:
3x + 4y = 36
y = x + 8
Substitute the second equation into the first since it already has the y isolated for you:
3x + 4(x + 8) = 36
3x + 4x + 32 = 36
7x = 4
x = 4/7
Take the answer you got from the equation above and plug that into the second equation:
y = 4/7 + 8
y = 60/7
To check just LS/RS both equations:
3(4/7) + 4(60/7) = 36
12/7 = 240/7 = 36
252/7 = 36
36 = 36
LS = RS
60/7 = 4/7 + 8
60/7 = 60/7
LS = RS