Solve Ax + By = C for x
Answer:
x= c/a-by/a
Step-by-step explanation:
solve for t
2(t+1)=10
t=
T = 7
2+7+1=10 that is how you get it
calculate
21% of $6.85 = $
Answer: $1.44
Step-by-step explanation: hope this helps please give me brainliest.
Help find the value of x
1/2 (-10x + 4) = -4 (-3+2x) +8
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
[tex]\frac{1}{2} (-10x+4)=-4(-3+2x)+8[/tex]
To make things easier, let's first start by rewriting [tex]\frac{1}{2}[/tex] as a decimal:
[tex].5(-10x+4)=-4(-3+2x)+8[/tex]
Distribute [tex].5[/tex] into [tex](-10x+4)[/tex]:
[tex]-5x+2=-4(-3+2x)+8[/tex]
Distribute [tex]-4[/tex] into [tex](-3+2x)[/tex]:
[tex]-5x+2=12-8x+8[/tex]
Combine like terms:
[tex]-5x+2=20-8x[/tex]
Add [tex]8x[/tex] to both sides of the equation:
[tex]3x+2=20[/tex]
Subtract [tex]2[/tex] from both sides of the equation:
[tex]3x=18[/tex]
Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]3[/tex]:
[tex]x=6[/tex]
_
Check your work by substituting [tex]6[/tex] into the initial equation:
[tex].5(-10(6)+4)=-4(-3+2(6))+8[/tex]
[tex].5(-60+4)=-4(-3+12)+8[/tex]
[tex]-30+2=12-48+8[/tex]
[tex]-28=-28[/tex]
The answer is correct!
Answer:
x = 6
Step-by-step explanation:
We know that,
( + ) × ( + ) = ( + )
( - ) × ( - ) = ( + )
( - ) × ( + ) = ( - )
Let us solve it now.
[tex]\sf \dfrac{1}{2} (-10x+4)=-4(-3+2x)+8[/tex]
Solve the brackets.
[tex]\sf -\dfrac{10x}{2} +\dfrac{4}{2} =+12-8x+8\\\\\sf -5x +2 =20-8x[/tex]
Add 8x to both sides.
[tex]\sf -5x+8x+2=20\\\\3x+2=20[/tex]
Subtract 2 from both sides.
[tex]\sf 3x=20-2\\\\3x=18[/tex]
Divide both sides by 3.
x = 6
Help meee!!!! Pleaseee
Answer:
(3,2)
Step-by-step explanation
The legs of a right triangle are 12 centimetres and 16 centimeters. What is the length of the hypotenuse?
Answer:
20 cm
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse h is equal to the sum of the squares on the other 2 sides, that is
h² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )
h = [tex]\sqrt{400}[/tex] = 20
A teacher surveys 30 students on the number of books they read over the summer. The data
are represented in the box plot. What is the median number of books read?
2 4
8
14
20
0
4
8
12
16
20
24
11
8
10
9
Answer: 8
Step-by-step explanation:
A box plot has 5 data descriptions. The correct option is b, 8.
How does a boxplot show the data points?A box plot has 5 data descriptions.
The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called the second quartile.The last line of the box shows the third quartile.As it is known about the box-plot that the mid-line shows the median of the data, therefore, the median of the given box-plot is 8.
Hence, the correct option is b, 8.
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-(x + 3) + 3/4x +5= 0
[tex]\text {Hi! Let's Solve this Equation!}[/tex]
[tex]\text {\underline {The First Step is to Simplify}}[/tex]
[tex]\text {-x+-3+3/4x+5=0}\\\text {(-x+3/4x)+(-3+5)=0}[/tex]
[tex]\text {Your New Problem Is: -1/4x+2=0}[/tex]
[tex]\text {\underline {The Next Step Is To Subtract 2}}[/tex]
[tex]\text {-1/4x+2-2=0-2}[/tex]
[tex]\text {Your New Problem Is: -1/4x=-2}[/tex]
[tex]\text {\underline {The Final Step is to Multiply 4/-1}}[/tex]
[tex]\text {4/-1*-1/4x=4/-1*-2}[/tex]
[tex]\text {Your Answer Would Be:}[/tex]
[tex]\fbox {x=8}[/tex]
[tex]\text {Best of Luck!}[/tex]
[tex] - (x + 3) + \frac{3}{4x} + 5 = 0[/tex]
[tex]⇒ - x - 3 + \frac{3}{4x} + 5 = 0[/tex]
[tex]⇒ - x + \frac{3}{4x} = - 5 + 3[/tex]
[tex]⇒ \frac{ - 4 {x}^{2} + 3 }{4x} = - 2[/tex]
[tex]⇒ - 4 {x}^{2} + 3 = - 8x[/tex]
[tex]⇒ - 4 {x}^{2} + 8x + 3 = 0[/tex]
[tex]⇒4 {x}^{2} - 8x - 3 = 0[/tex]
[tex]⇒x = \frac{ - ( - 8) \pm\sqrt{( - 8)^{2} - 4 \times 4 \times ( - 3) } }{2 \times 4} [/tex]
[tex]⇒x = \frac{8 \pm \sqrt{64 + 48} }{8} [/tex]
[tex]⇒x = \frac{8 \pm \sqrt{112} }{8} [/tex]
[tex]⇒ x_{1} = \frac{8 + \sqrt{112} }{8} \: \: ,\: \: x_{2} = \frac{8 - \sqrt{112} }{8} [/tex]
[tex]⇒ x_{1} = \frac{8 + 10.58}{8} \: \: , \: \: x_{2} = \frac{8 - 10.58}{8} [/tex]
[tex]⇒ x_{1} = \frac{18.58}{8} \: \: , \: \: x_{2} = \frac{ - 2.58}{8} [/tex]
[tex]⇒ x_{1} = 2.32\: \: , \: \: x_{2} = - 0.32[/tex]
[tex] \sf \red{ \therefore{x_{1} = 2.32\: \: and\: \: x_{2} = - 0.32}}[/tex]
5x minus 6 equal 44?
Answer:
x = 10
Step-by-step explanation:
I'm not entirely sure what you're asking, however we know that:
5x-6=44
5x must be 50, as 50-6=44
50 divided by 5 is 10, so 10x
Answer:
x=10
Step-by-step explanation:
Add 6 to both sides.
5x=44+6
Add 44 and 6 to get 50.
5x=50
Divide both sides by 5.
x= 50/5
Divide 50 by 5 to get 10.
x=10
1.05 x 10^4 in standard notation
Answer:
10,500
Step-by-step explanation:
Answer:10500
Step-by-step explanation:10^4=10000. This number has 4 0's so move the decimal 4 places to the right
Determine the solution to 8(3x – 5) = 80
A x = 5
B x= 10
C x = 12 D x=12
Answer:
A. x=5
can you also please mark me as brainliest?
Solve the following equation.
r/5 = 28
r =
Answer:
r=140
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
n = 5(m² + D)
Solve for D
Answer:
D = [tex]\frac{n-5m^2}{5}[/tex]
Step-by-step explanation:
Given
n = 5(m² + D) ← distribute
n = 5m² + 5D ( subtract 5m² from both sides )
n - 5m² = 5D ( divide both sides by 5 )
[tex]\frac{n-5m^2}{5}[/tex] = D
The solution of the expression for the value of D will be D = (n - 5m²) / 5
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given expression is n = 5(m² + D). The value of D will be calculated as below:-
n = 5(m² + D) ← distribute
n = 5m² + 5D ( subtract 5m² from both sides )
n - 5m² = 5D ( divide both sides by 5 )
(n - 5m²) / 5 = D
Therefore, the solution of the expression for the value of D will be D = (n - 5m²) / 5
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ShayAnn is a high school junior who is working on saving money for college. At the beginning of her sophomore year, she made the goal of saving $2,000 each school year for a total of $6,000 by the beginning of her freshman year of college. Six months into her junior year of high school, ShayAnn is evaluating the progress she has made toward her goal. So far, she has saved $2,000. To make her original goal of $6,000, how much does ShayAnn need to save each month for the next 18 months (round to two decimal places if needed)? no
Answer:
The amount, she needs to save each month for the remaining 18 months is $222.22
Step-by-step explanation:
The given information are;
The amount ShayAnn intends to save each year = $2,000
The total amount ShayAnn plans on saving = $6,000
The amount ShayAnn had saved six months into her junior year = $2,000
The number of months remaining for her to save towards her goal = 18 months
The amount she needs to save each month for the next 18 months to make her goal of $6,000 is given as follows;
The amount remaining to make her original goal = $6,000 - $2,000 = $4,000
The amount, X, she needs to save each month for the remaining 18 months is therefore;
X = (The amount remaining to make her original goal)/(The number of months remaining for her to save towards her goal)
X = $4,000/(18 months) = [tex]\$ 222.\overline 2[/tex]
∴ The amount, she needs to save each month for the remaining 18 months = $222.22.
I'LL MARK YOU AS BRAINLIEST! (if correct)
Which of the following points are NOT coplanar in this image?
Select one:
D, T, R, and F
E, W, S, and X
U, R, G, and V
R, T, F, and X
Answer:
R,T,F, and X are Not Coplanar in the image provided.
Find the slope of the line perpendicular to y = 9x+4
-1/9
1/9
9
Answer:
The answer is -1/9
Step-by-step explanation:
The slope of a perpendicular line is the opposite reciprocal.
To find the slope you take the given slope (9) and flip the reciprocal which results it turning into 1/9.
Then make it the opposite value. Like switching a negative to a positive or a positive to a negative. For this case, you make 1/9 into a -1/9
HELP ASAP PLZZZ!!! I would be Soo grateful
Answer:
31%
Step-by-step explanation:
3/10 is the same as 30%
If 30% of the students liked English and 61% of the students like math, the difference can be found by using subtraction.
61% - 30% = 31%
Show that (x-1)(x+2)(x+3) can be written in the form ax^3+bx^2+cx+d where a,b and c are all positive integers, and d is a negative integer
Answer:
The answer is x³ + 4x² + x - 6.
Step-by-step explanation:
You have to expand it :
[tex](x - 1)(x + 2)(x + 3)[/tex]
[tex] = ( {x}^{2} + 2x - x - 2)(x + 3)[/tex]
[tex] = ( {x}^{2} + x - 2)(x + 3)[/tex]
[tex] = {x}^{3} + 3 {x}^{2} + {x}^{2} + 3x - 2x - 6[/tex]
[tex] = {x}^{3} + 4 {x}^{2} + x - 6[/tex]
The expression (x - 1) (x + 2) (x + 3) is written in form of ax³ + bx² + cx + d as;
⇒ (x - 1) (x + 2) (x + 3) = x³ + 4x² + x - 6
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is;
⇒ (x - 1) (x + 2) (x + 3)
Now, It can be solve by multiplying as;
The expression is;
⇒ (x - 1) (x + 2) (x + 3)
⇒ (x - 1) (x² + 3x + 2x + 6)
⇒ (x - 1) (x² + 5x + 6)
⇒ x³ + 5x² + 6x - x² - 5x - 6
⇒ x³ + 4x² + x - 6
Thus, By comparing with the equation of the form ax³ + bx² + cx + d , we get;
⇒ a = 1 , b = 4 , c = 1 and d = -1
Clearly, a, b and c are positive integers, and d is negative integer.
Hence, The expression (x - 1) (x + 2) (x + 3) is written in form of
ax³ + bx² + cx + d.
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What is the solution to
5 + 3(x - 1) = 3x + 14 - (x +15)
Answer:
x = -3
Step-by-step explanation:
5 + 3(x - 1) = 3x + 14 - (x +15)
5 + ( 3x - 3 ) = 3x + 14 - x -15
3x + 2 = 2x - 1
x + 3 = 0
x = -3
Answer:
x = -3
Step-by-step explanation:
To find the solution to the equation, we would have to find a value of x that would satisfy the equation.
5 + 3(x - 1) = 3x + 14 - (x + 15)
Distribute the 3 on the left side and the - on the right side.
5 + 3x - 3 = 3x + 14 - x - 15
Combine like terms.
2 + 3x = 2x - 1
Subtract 2 from both sides.
3x = 2x - 3
Subtract 2x from both sides.
x = -3
So the solution to the equation would be x = -3.
I hope you find my answer and explanation to be helpful. Happy studying.
A half gallon of pineapple juice for $1.79 OR 1 gallon of pineapple juice for $3.55
Eddie went to a Nascar race and brought $55 with him to spend. Admission cost him $35 and sodas were $6.25 each.
A) Write an inequality that represents how many soda's Eddie can buy.
B) What is the greatest number of sodas Eddie can buy?
Given :
Eddie went to a Nascar race and brought $55 with him to spend.
Admission cost him $35 and sodas were $6.25 each.
To Find :
A) Write an inequality that represents how many soda's Eddie can buy.
B) What is the greatest number of sodas Eddie can buy.
Solution :
A)
Let, after buying x soda cans money spend is y.
So, [tex]y=6.25x +35[/tex]
It is also given that maximum money he have is $55 .
So, 6.25x + 35 ≤ 55
B)
Now,
6.25x ≤ 20
x ≤ 3.2
i.e x ≤ 3
Therefore, greatest number of sodas Eddie can buy is 3.
Hi, guys, I have 5 questions I need to answer and if anyone knows the answers please answer the question basically what you have to do is find X and ONLY X I already know the answer to the question I just need to FIND X. The questions are down below!:)
1. -3x + 10
2. 4x +8
3. -1 - 4x
4. 7 - 5x
5. 1 + 2x
Answer:
1.-13
2.-4
3. x=3
4. x= 12
5. 1
Step-by-step explanation:
Answer:
1.-3x+10
2.4(x+2)
3.-4x-1
4.-5x+7
5.2x+1
Step-by-step explanation: those are the only possible answers because
there are no like terms
Fill in each blank for the function f(x) = 3x - 6.
Answer:
reeee :(
Step-by-step explanation:
I will give you all five stars⭐⭐⭐⭐⭐
In the figure below, FH= 14 and GH=6. Find FG.
Answer:
Let's see what to do buddy....
Step-by-step explanation:
_________________________________
FG = FH + HG ----¢ FG = 14 + 6 = 20
FG = 20
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
PLEASEE HELP I ONLY HAVE 3 MINUTES LEFT PLEASE HELP ME
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?
The graph of g(x) is the graph of f(x) vertically compressed by a factor of 5.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.
The graph of g(x) is the graph of f(x) translated 5 units right.
The graph of g(x) is the graph of f(x) translated 5 units up.
Answer:
The graph is translated 5 units up
Step-by-step explanation:
Anybody please help I just have 2 minutes I’ll mark you Brainly
Answer:
20.5730406
Step-by-step explanation:
2x+3=x-4 what is the solution
Answer:
x=-7
Step-by-step explanation:
all you need is an algebra calculator
Answer:
x=-7
Step-by-step explanation:
Y-3=-2/5(x-5) solve for y
Answer:
[tex]y=-\frac{2}{5} x+5[/tex]
Step-by-step explanation:
[tex]y-3=-\frac{2}{5} (x-5)[/tex]
Distribute [tex]-\frac{2}{5}[/tex] into [tex](x-5):[/tex]
[tex]y-3=-\frac{2}{5} x+2[/tex]
Add [tex]3[/tex] to both sides of the equation:
[tex]y=-\frac{2}{5} x+5[/tex]
Which steps should be used to graph the equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2)?
1. Plot the point (2, 4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.
1. Plot the point (2, 4).
2. From that point, count left 1 unit and down 3 units and plot a second point.
3. Draw a line through the two points.
1. Plot the point (–2,4).
2. From that point, count left 3 units and down 1 unit and plot a second point.
3. Draw a line through the two points.
1. Plot the point (–2,4).
2. From that point, count left 1 unit and down 3 units and plot a second point.
3. Draw a line through the two points.
Answer:
c.
Step-by-step explanation:
In order to graph the equation y – 4 = y minus 4 equals StartFraction one-third EndFraction left-parenthesis x plus 2 right-parenthesis.(x + 2), the steps to use are:
Plot the point (–2,4).From that point, count left 3 units and down 1 unit and plot a second point.Draw a line through the two points.What is graph?A graph is actually known to be a diagram which is used in mathematical problems to show or review the relationship that exists between two or more sets of numbers.
We see that in order to graph the given equation above, it is necessary to follow the steps outlined above.
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