Answer:
[tex](0,20),(1,16),(2,12)[/tex]
Step-by-step explanation:
[tex]We\ are\ provided\ with\ the\ equation:\\4x+y=20\\In\ order,\ to\ find\ solutions\ to\ a\ linear\ equation\ in\ two\ variables,\ we\\ usually\ substitute\ a\ value\ to\ either\ the\ abscissa or\ the\ ordinate\ to\ get\\ the\ corresponding\ ordinate\ or\ the\ abscissa.\\Hence,\\Here,[/tex]
[tex]Let's\ plug\ in\ simpler\ value's\ of\ 0,1,2\ as\ the\ x-co-ordinate\ to\ obtain\ it's\\ y-coordinate.\\Hence,\\Coming\ back\ to\ our\ equation:4x+y=20\\Substituting\ x=0,\\4*(0)+y=20\\y=20\\Hence,\\x=0,y=20\ or\ (0,20)\ is\ a\ solution\ of\ the\ equation.[/tex]
[tex]Substituting\ x=1,\\4*(1)+y=20\\4+y=20\\y=20-4=16\\Hence,\\x=1,y=16\ or\ (1,16)\ is\ also\ a\ solution\ of\ the\ equation.[/tex]
[tex]Substituting\ x=2,\\4*(2)+y=20\\8+y=20\\y=20-8=12\\ Hence,\\x=2,y=12\ or\ (2,12)\ is\ a\ solution\ of\ the\ equation\ too.[/tex]
[tex]Hence,\ collecting\ all\ the\ solutions\ of\ the\ equations:\\(0,20),(1,16),(2,12)\ are\ all\ solutions\ of\ the\ given\ equation.\\[/tex]
A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. y = 4x+2, y = 2r+8 What is the value of the smaller number in the mathematical problem?
Answer:
3
Step-by-step explanation:
I got it wrong so then it told me what the correct answer was:)
stephanie and jenny each improved their yards by planting rose bushes and geraniums. they bought their supplies from the same store. stephanie spent $148 on 13 rose bushes and 1 geranium. jenny spent $169 on 9 rose bushes and 14 geraniums. find the cost of one rose bush and one geranium.
Answer:
The cost of one rose is $11., and the cost of one geranium is $5.
Step-by-step explanation:
The cost of one rose bush and one geranium can be determined by the use of simultaneous equation. Let the cost of a rose bush be represented by x, and the cost of one geranium by y.
So that,
13x + y = 148 .............. 1
9x + 14 y = 169 ............... 2
From eqaution 1,
y = 148 - 13x ............... 3
substitute the value of y in equation 2
9x + 14(148 - 13x) = 169
9x + 2072 - 182x = 169
2072 - 169 = 182x - 9x
1903 = 173x
x = [tex]\frac{1903}{173}[/tex]
= 11
x = 11
substitute the value of x in equation 3
y = 148 - 13x
= 148 - 13(11)
= 148 - 143
y = 5
x = 11, y = 5
Thus, the cost of one rose is $11., and the cost of one geranium is $5.
Which is the better buy: 4 cans of peaches for $6.44 or 3 cans for $4.71?
Answer:
3 cans for $4.71
Step-by-step explanation:
6.44/4= $1.61
4.71/3= $1.57
3 cans for $4.71 is the better buy
Answer:
4 cans is the better option because $6.44 divided by 4 is 1.61. And if you add $4.71 + $1.61 + $1.61 it would equal $7.43
Step-by-step explanation:
Can someone help me I tried many ways but got a different answer
Answer:
v = 21
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Terms/Coefficients/DegreesGeometry
All angles in a triangle add up to 180°Step-by-step explanation:
Step 1: Set Up Equation
2v + 3v + 75 = 180
Step 2: Solve for v
Combine like terms: 5v + 75 = 180Isolate v term: 5v = 105Isolate v: v = 21Answer:
21 degrees
Step-by-step explanation:
3v + 2v + 75 = 108
3v + 2v = 5v
5v + 75 = 108
-75 -75
÷5. 105
÷5 = 21
X=21
Write an equivalent expression.
-2(8+5g)
Answer:
-16 - 10g
Step-by-step explanation:
All I did was distribute
-2*8 + -2*5g
-16 - 10g
(+ -) additive inverse
Help me quickly just give the answer
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
48 divided by 8 = 6 or 8 x 6 = 48
What value is equivalent to
Answer:
-3
Step-by-step explanation:
dont know its right id(kkkkkkkkkkkkkkkkkkkkkkk
Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be
written using function notation?
O FU=-v+
Of(x) = - 3x + 4
o f(x) = -x +
Of = -3y + 4
Answer:
9x + 3y = 12
3y = -9x + 12
y = -3x + 4
f(x) = -3x + 4
Step-by-step explanation:
I hope it's help
What is the product? StartFraction 4 k + 2 Over k squared minus 4 EndFraction times StartFraction k minus 2 Over 2 k + 1 EndFraction StartFraction 4 Over 2 k + 1 EndFraction StartFraction 2 Over k minus 2 EndFraction StartFraction 2 Over 2 k + 1 EndFraction StartFraction 2 Over k + 2 EndFraction
Answer:
[tex]\frac{2}{k+2}[/tex]
Step-by-step explanation:
Given the expression:
[tex]\frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}[/tex]
We are to find the product as shown:
[tex]= \frac{4k+2}{k^2-4} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{k^2-2^2} * \frac{k-2}{2k+1}\\\\= \frac{2(2k+1)}{(k-2)(k+2)} * \frac{k-2}{2k+1}\\\\= \frac{2}{k+2} * 1\\\\= \frac{2}{k+2}[/tex]
Hence the required function is [tex]\frac{2}{k+2}[/tex]
d. StartFraction 2 Over k + 2 EndFraction
aka
d. 2/k+2
Trevion is training for a marathon. In February, he ran XLVII miles for his training. In January, he was only able to run XXIV miles. How many more did he run in February than in January?
Answer:he ran 23 miles / XXIII miles more in February than March
Step-by-step explanation:
February = He ran XLVII --- converting to numbers becomes
XL= 40
VII= 7
XLVII= 47
In march he ran XXIV--- converting to numbers becomes
XX= 20
IV= 4
XXIV= 24
Step 2
To find how many more he ran in February than March
Miles ran in February - Miles ran in March
47- 24=23.
Therefore he ran 23 miles / XXIII miles more in February than March
Answer:
pretty much answer c
Step-by-step explanation:
Find the degree of the polynomial -m^6-10m^3
Answer:
We conclude that:
The degree of the polynomial is 6.Step-by-step explanation:
Given
Given the polynomial
[tex]-m^6-10m^3[/tex]
To determine
The degree of the polynomial
In order to determine the degree of the polynomial, we need to check the term with the highest of the degree with non-zero coefficients. The degree of an individual term is basically the exponent of the term.
In our case,
The exponents of the terms of this polynomial are, in order, 6, and 3.
Thus, the highest degree (larger exponent) of the term is 6.
Therefore, we conclude that:
The degree of the polynomial is 6.What is the value of h(2)? -2 -1 0
3
Answer:
The answer is 0
Step-by-step explanation:
Or c on edge.
MATCHING GRAPHS! which ones which!! pls help ill award branliest
Answer:
Its A and B i beleive.
Step-by-step explanation:
Work Out:
3/4 + 1/8=
True or False:
cot = 1/tan
Answer:
I think its true??? right... its true
Step-by-step explanation:
Answer:
it is true
Step-by-step explanation:
Solve for y:
-6+ 2y =12
Answer:
9
Step-by-step explanation:
-6+2y=12
+6 +6
2y=18
2 2
9
Each square on a grid represents one unit on each side.
Calculate the slope of graph D. Explain or show your reasoning.
Answer:
Slope = -4
Step-by-step explanation:
The slope is negative because the line is going down.
The line goes down 4 times and goes right once = 4
The required slope of the given graph would be - 4 which is a negative slope.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
The graph is given in the question
Each square on a grid represents one unit on each side.
We have to determine the slope of the given graph D
According to the given graph, we take two points (4, 12) and (7, 0)
The slope of a line is defined as the gradient of the line.
It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Slope m = (0 - 12)/(7 -3 )
Slope m = -12/3
Slope m = -4
Thus, the required slope of the given graph would be - 4
Learn more about the Slope of the Line here:
brainly.com/question/14511992
#SPJ2
Please help me if you are good at math!
Juelle had $25,000 to invest. She invested part of that amount at 3% interest and part at 5% interest for one year. The amount of interest she earned for both investments was $1100. How much was invested at each rate?
Answer:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
Step-by-step explanation:
Juelle had $25,000 to invest.
She invested part of that amount at 3% interest and part at 5% interest for one year.
The amount of interest she earned for both investments was $1100.
The formula for Simple Interest =
Principal × Rate × Time
Let us represent
The first amount invested at 3%= x
The second amount Invested at 5% = y
x + y= $25,000....... Equation 1
x = 25,000 - y
3% × x + 5% × y = $1100...... Equation 2
0.03x + 0.05y = 1100...... Equation 2
We substitute 25000 - y for x in Equation 2
0.03x + 0.05y = 1100
0.03(25000 - y) + 0.05y = 1100
750 - 0.03y + 0.05y = 1100
Collect like terms
- 0.03y + 0.05y = 1100 - 750
0.02y = 350
y = 350/0.02
y = 17500
Solving for x
x = 25,000 - y
x = 25000 - 17500
x = 7500
Therefore:
The first amount invested at 3%= x = $7500
The second amount Invested at 5% = y = $17500
Gasoline costs $3.65 a gallon Which is an estimated cost of 14.2 gallons of gasoline?
Answer:
the answer is $51.83
Step-by-step explanation:
Answer:
40 or 56 because 3.65 x 14.2 is gonna equal 51.83
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A recipe calls for 6 cups of water and 4 cups of flour.
a. What is the ratio of water to flour?
b. If the recipe is increased to use 6 cups of flour, how much water should be used?
c. If the recipe is decreased to use 2 cups of water, how much flour should be used?
Answer:
6 to 4
Step-by-step explanation:
The amount of water is 6 and the amount of flour is 4 therefor there is 6 to 4 cups of water.
Alan Is saving money to buy a game. So far he has saved $20, which is four-fifths of the total cost of the game. How much does the game cost?
Answer:
The game cost $25.
Step-by-step explanation:
20 divided by 4 = 5
5 = 1/5 of the total cost
5x5 = 25
Answer:
25 bucks
Step-by-step explanation:
divide 20 by 4 then add 5 til you do it 5 times. that will be the answer
Jasmine is buying cakes for a party. One chocolate cake costs $7, and one lemon cake
costs $5. If Jasmine needs to buy 18 cakes and has $110 to spend, how many lemon
cakes can she buy?
Set up and solve a system of linear equations to model how to determine the number
of lemon cakes Jasmine can buy for the party.
Answer:
Step-by-step explanation: Am not sure if this is the answer you guys are looking for but my in 9th grade and this is how my math teacher taught me how to do it.
one chocolate cake=?=x
one lemon cake=?=y
$270 spent
need to buy total of 18 cakes
1-chocolate cake =$7
lemon cake = $5
cakes 18=x+y
money $110=$7x+$5y
When i graphed it on the demos calculator i got (10,8).
So 10= the number of chocolate cake brought and 4= the number of lemon cake brought
Evaluate the expression when $a=3$ and $c=12$ . plzz help meeee
Solve for the unknown variable
Answer:
Step-by-step explanation:
ayo
Hey guys, I need this question in about 2 minutes, please help.
Answer:
Well I got 9 log 10 (2)/ 3-3log10 (5)
Please correct me if I am wrong
Step-by-step explanation:
You have to apply the rule alogc (b) (b^a)
= [tex]\frac{log10(\sqrt{8))^{4}-log10((\frac{1}{2}))^{3}) } }{3-6log10(\sqrt{5}) }[/tex]
\frac{\log _{10}\left(\frac{\left(\sqrt{8}\right)^4}{\left(\frac{1}{2}\right)^3}\right)}{3-6\log _{10}\left(\sqrt{5}\right)}
If x and y vary inversely and x = -3 when y = 12, what is the constant of variation?
k=-36
Step-by-step explanation:
x inversely proportional to y
x=1k/y
where k = constant
x= -3, y= 12, k = ?
-3=k/12
k = -3 × 12
k = -36
What is the answer to this ?
Answer:
x - 1 and 5x - 7
Step-by-step explanation:
f(x) + g(x)
= 3x - 4 - 2x + 3 ← collect like terms
= x - 1
f(x) - g(x)
= 3x - 4 - (- 2x + 3) ← distribute parenthesis by - 1
= 3x - 4 + 2x - 3 ← collect like terms
= 5x - 7
factorise cos²A + 3 Cos A + 2
Answer:
[tex](cosA +1)(cosA +2)[/tex]
Step-by-step explanation:
[tex]cos^2(A)+3cos(A)+2[/tex]
Which number add up to 3 and multiply to 2?
That would be 1 and 2.
[tex]cos^2(A)+3cos(A)+2=(cosA +1)(cosA +2)[/tex]
The perimeter of a triangle is 34 feet. One side of the triangle is 2 times the second side. The third side is 2 feet longer than the second side. Find the length of each side
Answer:
6.4 feet
12.8 feet
14.8 feet
Step-by-step explanation:
let x = length of 1st side
let 2x = length of 2nd side
let 2x + 2 = length of 3rd side
add them all together and set sum equal to 34
x + 2x + 2x + 2 = 34
5x + 2 = 34
5x = 32
x = 6.4, which is 1st side
2x = 12.8, which is 2nd side
2x + 2 = 14.8, which is 3rd side