Answer:
The equation has one valid solution and no extraneous of solutions.Step-by-step explanation:
Given the expression;
4x/3x+1 = x/2x+10
We are to get the nature of the value of x
Cross multiply;
x(3x+1) = 4x(2x+10)
3x²+x = 8x²+40x
Collect like terms;
3x²-8x² + x - 40x = 0
-5x²+x -40x = 0
-5x²-39x = 0
-5x² = 39x
-5x = 39
x = -39/5
Since we have just one value of x hence, the equation has one valid solution and no extraneous of solutions.
The equation has one valid solution and no extraneous of solutions. The correct option is A.
What is equation?An equation is a mathematical expression in terms of one or more unknown variable.
Given the equation : 4x/3x+1 = x/2x+10
Simplify by Cross multiplication, we get
x(3x+1) = 4x(2x+10)
3x²+x = 8x²+40x
3x²-8x² + x - 40x = 0
-5x²+x -40x = 0
-5x²-39x = 0
Simplifying further and solving for x
-5x² = 39x
-5x = 39
x = -39/5
We have just one value of x.
Hence, the equation has one valid solution and no extraneous of solutions.
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Help me fast ASAP pls
Answer:
C
Step-by-step explanation:
I got it right
Write the equation, 3x+7=2(3-y) in function form.
Answer:
The function of the equation is f(x) = [tex]-\frac{1}{2}[/tex] [tex]-\frac{3}{2}[/tex] x
Step-by-step explanation:
The function form of the linear equation is f(x) = m x + b, where
m is the slope of the line represents the graph of the functionb is the y-intercept∵ The equation is 3x + 7 = 2(3 - y)
→ Simplify the right side by multiplying the bracket by 2
∵ 3x + 7 = 2(3) - 2(y)
∴ 3x + 7 = 6 - 2y
→ Add 2y for both sides
∵ 2y + 3x + 7 = 6 - 2y + 2y
∴ 2y + 3x + 7 = 6
→ Subtract 7 from both sides
∵ 2y + 3x + 7 - 7 = 6 - 7
∴ 2y + 3x = -1
→ Subtract 3x from both sides
∵ 2y + 3x - 3x = -1 - 3x
∴ 2y = -1 - 3x
→ Divide each term by 2
∴ y = [tex]-\frac{1}{2}[/tex] - [tex]\frac{3}{2}[/tex] x
→ Replace y by f(x)
∴ f(x) = [tex]-\frac{1}{2}[/tex] [tex]-\frac{3}{2}[/tex] x
∴ The function of the equation is f(x) = [tex]-\frac{1}{2}[/tex] [tex]-\frac{3}{2}[/tex] x
help me simplify this question
5p-3-(1+p)+(2p)
Answer:
This is the answer. All the very best
Help please asap!! I will mark you as brainliest :)
Answer:
k=4
Step-by-step explanation:
cross multiply so it would be:
8k+24=56
subtract 24 from 56
8k+24-24=56-24
8k=32
divde
8k/8=32/8
k=4
To be labeled as a jumbo egg, the egg is supposed to weigh 2.5 oz. Mia buys a carton of jumbo eggs and measures one of the eggs as 2.4 oz. What is the percent error? *
Answer: 4.17%
Step-by-step explanation:
Formula for percentage error = [tex]\dfrac{|\text{Estimated weight - Actual weight}|}{\text{Actual weight}}\times100[/tex]
Given: Estimated weight = 2.5 oz
Actual weight = 2.4 oz
Percentage error = [tex]\dfrac{2.5-2.4}{2.4}\times100\%[/tex]
[tex]=\dfrac{0.1}{2.4}\times100\%\\\\=\dfrac{100}{24}\%=4.17\%[/tex]
Hence, the percent error = 4.17%
here are 5 number cards
Answer:
im doind the same question on mahswatch what is it
Step-by-step explanation:
2x - 3y --24
x + 6y = 18
Substitution
Answer:
y=12
x=30
Step-by-step explanation:
2x-3y=24 ... 1
x+6y=18 ... 2
2*2:
2x+12y=36...3
3-1:
y=12
x=30
When the following system of equations 2x - 3y = -24 and x + 6y = 18 are solved, the value of x and y is found to be -6 and -4 respectively.
Mathematically, an equation is a statement that asserts the equivalency of two expressions. It consists of two hands, the left-hand side( LHS) and the right-hand side( RHS), separated by an equal sign( =). The LHS and RHS can be numbers, variables, constants, or further complex fine expressions.
Given the system of equations:
2x - 3y = -24 (equation1)
x + 6y = 18 (equation2)
From equation 2,
x = 18 - 6y
Now, substitute this expression for x in equation (1):
2(18 - 6y) - 3y = -24
36 - 12y - 3y = -24
36 - 15y = -24
-15y = -60
y = [tex]\frac{(-60)}{(-15)}[/tex]
y = 4.
Now substitute it back into equation (2) to solve for x:
x + 6(4) = 18
x + 24 = 18
x = 18 - 24
x = -6
Therefore, the solution to the system of equations is x = -6 and y = 4.
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help please !! it's asking "find the measure of the missing angle" yet there's nothing ??
Answer:
60 degrees
Step-by-step explanation:
All the angles are the same so 180 divided by 3 is 60
20 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 3 trips, and for each trip, Lennox gets 300 dollars. On a single trip, a truck delivers 50 packs, and each pack contains 12 kilograms of apples. Overall, Lennox sells 4500 dollars worth of apples in a week.
How much does Lennox get for a single kilogram of apples?
____________dollars per kilogram
Answer:
$0.50 per kilogram
Step-by-step explanation:
($300/trip)/(50 packs/trip) = $6/pack
($6/pack)/(12 kilograms/pack) = $0.50/kilogram
Describe the lines below as parallel, perpendicular,or neither.
3x+6y=42 and y=2x-1
Answer:
They are neither perpendicular nor parallel.
Step-by-step explanation:
Find the gradient of 2x + 6y = 42 by rearranging it in the form y = mx + c:
6y = -2x + 42
y = -(1/3)x + 7
The gradient is the co-efficient of x
Therefore the gradient is -(1/3)
The gradient of y = 2x - 1 is 2.
If they were parallel they would have the same gradient.
If they were perpendicular then the gradient of one would be the negative reciprocal of the other, e.g: if one was 2, the other would be -(1/2).
Neither of these are true, so they are neither perpendicular nor parallel.
The lines 3x+6y=42 and y=2x-1 are perpendicular
Two lines are parallel if they have equal slope
Two lines are perpendicular if the product of their slopes equals -1
The given lines are:
3x+6y=42 and y=2x-1
Rewrite each of the equations in the form y = mx + c
For line 3x + 6y = 42:
[tex]6y = -3x + 42\\\\y=\frac{-3}{6} x+\frac{42}{6}\\\\y=-0.5x+7[/tex]
The slope, m₁ = -0.5
For line y = 2x - 1
The slope, m₂ = 2
Since m₁ ≠ m₂, lines 3x+6y=42 and y=2x-1 are not parallel
m₁ m₂ = -0.5(2)
m₁ m₂ = -1
Since the product of the slopes equals -1, the lines 3x+6y=42 and y=2x-1 are perpendicular
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what is the answer please ?
Answer:
10
Step-by-step explanation:
i think
Complete the description of the slope of the line that joins the points
positive
negative
0
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Answer:
The slope of the line that joins the points is negative.
i.e m = -6/5
Step-by-step explanation:
Taking two points from the graph to determine the slope
(-3, 4)(2, -2)Finding the slope between (-3, 4),(2, -2)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]'
[tex]\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(2,\:-2\right)[/tex]
[tex]m=\frac{-2-4}{2-\left(-3\right)}[/tex]
[tex]m=-\frac{6}{5}[/tex]
Therefore, the slope of the line that joins the points is negative.
i.e m = -6/5
The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many
students are girls?
Answer:
16 students are girls.
Step-by-step explanation:
5:4=36
5x+4x=36
9x=36
x=4.
So we can multiply the ratio by 4.
4(5+4)
20+16.
Since girls is 4, there are 16 girls.
Hope this helps plz hit the crown :D
Answer:
let ratio of boys and girl be 5x and 4x
now
5x+4x=36
9x=36
x=36÷9
x=4
now
number of boys in class is 5x=5*4=20
Number of girls in class is= 4x
=4*4
=16 ans
Bruce overdrew his checking account by $19, for which his bank charged him a $35 overdraft fee. If he deposits $60, what will his balance be?
$
Write a function g whose graph represents the indicated transformation of the graph of F. Let g be a translation 4 units down and a horizontal shrink by a factor of of the graph of f(x) = x.
Answer:
g(x) = 6x+4
Step-by-step explanation:
The given function f(x)=x
Let p(x) be an intermediate function after translation of f(x).
So, after the translation 4 unit down, the new function
p(x) = f(x) - 4
p(x) = x-4
Now, there is a horizontal shrink by a factor of 6, so the required function g(x) is
g(x) = p(6x) [here 6 is the horizontal shrink factor]
g(x) = 6x-4
Hence, the required function is g(x) = 6x+4
Dannon has $10.80 in dimes and quarters. If dannon has 32 more quarters than dimes, how many dimes does he have?
Answer:
he should have 28 dimes
Step-by-step explanation:
Answer:
0.34
Step-by-step explanation:
10.80 DIVIDED BY 32 IS 0.3375 IF YOU ROUND THAT IT WOULD BE 0.34
What is the probability that the same result (heads or tails) shows twice in a row exactly once in the ten tosses?
Answer:
1/512
Step-by-step explanation:
The probability is 2 out of 2^10 , because there are only two sequences when same result (heads or tails) shows twice in a row exactly once in the ten tosses (HTHTHTHTHT and THTHTHTHTH) out of 2^10 possible sequences.
2/2^10 = 2/1024 =1/512
solve for x. Enter your answer in interval notation using grouping symbols. x^2+9x<-20
Step-by-step explanation:
x^2+9x<-20
x^2+9x+20<0
( x+5)(x+4)<0
x+5<0,x+4<0
x<-4 (because x<-5 is extraneous solution)
NEED ASAP PLESDE through (-2,7) perpendicular to 5y+x=20
(Show in point slope form and slope/intercept form )
Answer:
y = 5x + 16
Step-by-step explanation:
5y + x = 20
5y = -x + 20
y = [tex]-\frac{1}{5}[/tex]x + 20
Points: (-2, 7)
Slope (m⊥): = 5
y = 5x + b
7 = 5 ( -2 ) + b
6 = -10 + b
b = 16
y = 5x + 16
Find the distance between −8 and 9 on a number line. _____ unit(s)
What is the equation of the line with slope 3 through the point (5, 1) in point-slope form?
y-5=3(x-1)
y-1=3(x-5)
y=3x-14
y=3x+2
Put the following numbers in order from least to greatest:
10, -10, -7, 5, -3, 0, 2, -1, -2, -23, 23, 2, 15, 3, - 15
Answer:
-23, -15, -10, -7, -3, -2, -1, 0, 2, 2, 3, 5, 10, 15, 23
Step-by-step explanation:
:)
Describe this number line and the numbers and fractions shown.
A number line going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number.
Answer:
Please check the number line attached below.
Step-by-step explanation:
Please check the attached graph below.
The line graph is representing that a number line:
Going from negative 2 to positive 2 in increments of 1. There are 4 equal spaces between each number.From the graph, it is clear that the point 0 is taken as arbitrary. The left side number units from 0 represent the negative values and the right-sided number units from 0 represent the positive values.
When we move on the right side from the 0, the numbers increase and when you move on the right side from the 0, the number decreases.
Answer:
The number line shows -2 through 2, divided into fourths, with zero in the middle. The numbers increase as you move right and decrease as you move left.
Step-by-step explanation:purrr
what is the volume of the cone to the nearest cubic centimeter?
Answer:
301.44
Step-by-step explanation:
Emiliana pays 6% sales tax on a cupcake that costs 3 dollars. How much does the sales tax add to the purchase price? Please tell me how you got the answer. (answer choices: $0.018, $18, $0.18, $3.18)
Answer:
$0.18 sales tax will be added to the purchase price.
Step-by-step explanation:
Given that:
Cost of cupcake = $3
Sales tax applied = 6%
Amount of sales tax = 6% of cost of cupcake
Amount of sales tax = [tex]\frac{6}{100}*3[/tex]
Amount of sales tax = 0.06 * 3 = $0.18
Hence,
$0.18 sales tax will be added to the purchase price.
I’ll give brainliest plz quick
Jon earns $4 for delivering groceries and $2 for each delivery he makes.
How much money will he earn if he delivers to five houses?
Answer:
$14
Step-by-step explanation:
ok so since he is delivering groceries he gets $4.
now when he delivers he get $2 more, so for each house he delivers to he adds $2 to that $4.
so the easiest was to do this is 5x2.
5x2 is 10.
now $10 is how much more he gets on top of the $4, so now we need to add the $4 to the $10.
your answer is $14
plz mark brainliest!
Orianna had 10 tiles to arrange in a rectangular design. She drew a model of the rectangles she could make with the 10 tiles. Ask Your Teacher
What can Orianna conclude about the number 10 from her model?
21 = 4x - 9 - x
what is x?
Answer:
x = 10
Step-by-step explanation:
21 = 4x - 9 - x
21 = 3x - 9
30 = 3x
10 = x
Answer:
x = 10
Step-by-step explanation:
Given
21 = 4x - 9 - x, that is
21 = 3x - 9 ( add 9 to both sides )
30 = 3x ( divide both sides by 3 )
10 = x
The function c(x) = 18x -10 represents the cost in dollars. How many tickets can you buy?
Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.
So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 170 dollars.
The solution would still clear your concept though.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
[tex]c(x) = 18x -10[/tex]
The slope-intercept form of the line equation
We know that the slope-intercept form of the line equation
y=mx+b
where m is the slope and b is the y-intercept
so
[tex]c(x) = 18x - 10[/tex]
comparing with the slope-intercept form of the line equation
here:
rate of change = 18c(x) or y represents the costand
'x' represents the number of tickets
Assuming the total cost i.e. c(x) = $170
In order to determine the value of x, set c(x) = 170
i.e.
170 = 18x -10
switch sides
18x - 10 = 170
add 10 to both sides
18x - 10 + 10 = 170 + 10
18x = 180
Divide 18 to both sides
18x/18 = 180/18
x = 10
Therefore, if you can buy x = 10 tickets if you pay 170 dollars.