Answer:
1.x=(z/4)-y
2.b=(e-cd)/a
Step-by-step explanation:
1.
z=4(x+y)
Divide both sides by 4
z/4=x+y
Subtract y from both sides
(z/4)-y=x
Answer
x=(z/4)-y
2.
ab+cd=e
subtract cd from both sides
ab=e-cd
divide both sides by a
b=(e-cd)/a
Answer
b=(e-cd)/a
Answer:
[tex]1) x = \frac{z}{4} - y[/tex]
[tex]2) b = \frac{e}{a} - \frac{cd}{a}[/tex]
Explanation:
(1) Making x the subject: [tex]4(x + y) = z[/tex]
To make x the subject of original expression, we send the x to the left side of expression and all of the other components to the right side of expression.
The detail procedure is described as following:
[tex]4(x + y) = z[/tex]
Apply associate property:
<=> [tex]4x + 4y = z[/tex]
Send 4y to the right side (the sign of 4y must be changed from positive to negative):
<=> [tex]4x = z - 4y[/tex]
Divide both sides by 4:
<=> [tex]x = \frac{z}{4} - y[/tex]
(2) Make b the subject: [tex]ab + cd = e[/tex], applying the similar procedure in part (1):
[tex]ab + cd = e[/tex]
Send [tex]cd[/tex] to the right side (the sign of
<=> [tex]ab = e - cd[/tex]
Divide both sides by [tex]a[/tex]:
<=> [tex]b = \frac{e}{a} - \frac{cd}{a}[/tex]
Hope this helps!
:)
f(n) = 65 - 4n; 29
determine which term produces the given number?
Answer:
9 th term
Step-by-step explanation:
Equate 65 - 4n to 29 and solve for n , that is
65 - 4n = 29 ( subtract 65 from both sides )
- 4n = - 36 ( divide both sides by - 4 )
n = 9
5 % of 401.16 m Give your answer rounded to 2 DP.
Answer: 20.058
Step-by-step explanation:
401.16 x 0 05
= 20 058
there are between 24 and 40 students in a class the ratio of boys to girls is 4:7 how many students are there in class
Answer:
[tex]\fbox{\begin{minipage}{2em}33\end{minipage}}[/tex]
Step-by-step explanation:
Given:
In a class the ratio of boys to girls is 4:7.
The total number of students is between 24 and 40.
Solve for:
The total number of students
Solution:
The total number of student could be divided in portions with ratio 4:7
=> It must be the divisor of (4 + 7) or 11.
Otherwise, it is a number between 24 and 40.
There is only one divisor of 11, lying between 24 and 40. That is 33
=> The total number of students: 33
Hope this helps!
:)
which expression is equivalent to
Answer:
3
Step-by-step explanation:
"" = x^(0.5*(-2))*y^(-0.25*(-2))*z^(-2) = x^(-1)*y^(0.5)*z^(-2) =
(1/x^1)*y^(0.5)*(1/z^2) = 3
Answer:
Third one.
Step-by-step explanation:
The exponent negative 2 applies to all that's in the bracket. So, x^1/2 times exponent negative 2 equals x to the power negative one. And y to the power negative half and z to the power negative 2. Therefore, x^-1 = 1/x and y^1/2 remains same and z^-2 = 1/ z^2.
Can someone help meee!
Answer:
X intercept = 4
Y intercept = -4
Step-by-step explanation:
X-intercept is when the graph crosses the X-axis or where the y is 0 for a X value. Here the (4,0) is where Y is 0 for a given x value and you see the graph crosses it on X-axis thus X intercept is 4.
Y-intercept is when the graph crosses the Y-axis or where the x is 0 for a Y value. Here the (0,-4) is where X is 0 for a given Y value and you see the graph crosses it on Y-axis thus Y intercept is -4.
Analyze the diagram below and complete the instructions that follow.
N
In the diagram, 212 22 22 = 23, and m41 = 609. Give the reasons that best support the following statements used to show
that m43 = 60°
1. 21 = 22 and 22 = 23; therefore, 2133
2. m 1 = 60° and 2123; therefore, 60° =m23
3. 60º = m/3; therefore, mx3 = 60°
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Mark this and return
Given that RT ≅ WX, which statement must be true?
Answer:RT is congruent to WX
Step-by-step explanation:
Answer: RT
Step-by-step explanation:
Joey and Nolan are each solving the equation 13x - 42 = 18 - 7x.
Joey's first step was to rewrite the equation as 20x - 42 = 18 while Nolan's first step was to rewrite the
equation as 13x = 60 - 7x.
Who is correctly applying the addition property of equality in the first step of his work?
A. Only Joey
B. Only Nolan
C. Both Joey and Nolan
D. Neither Joey nor Nolan
Answer:
First step=13x+7x=18+42
Step-by-step explanation:
13x-42=18-7x
First step
It is to collect like terms of the equation
13x+7x=18+42
20x=60
x=60/20
x=3
How do linier equations work?
Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x. If the equation is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the equation can be solved in algebraic terms.
I really hope that this helps you if u have any more questions ask. :>
Answer:
Each solution is a pair of numbers (x,y) that make the equation true. Solving a linear equation usually means finding the value of y for a given value of x. If the equation is already in the form y = mx + b, with x and y variables and m and b rational numbers, then the equation can be solved in algebraic terms.
Step-by-step explanation:
Solving an equation means finding the value or values for which the two expressions on each side of the equals sign are equal. One of the most common methods used to solve equations is the balance method.
Imagine an equation as a set of scales. The scales will stay in balance as long as the same operation (addition, subtraction, multiplication or division) is applied to both sides.
Example: y = 2x + 1 is a linear equation:
line on a graph
The graph of y = 2x+1 is a straight line
When x increases, y increases twice as fast, so we need 2x
When x is 0, y is already 1. So +1 is also needed
And so: y = 2x + 1
Here are some example values:
x y = 2x + 1
-1 y = 2 × (-1) + 1 = -1
0 y = 2 × 0 + 1 = 1
1 y = 2 × 1 + 1 = 3
2 y = 2 × 2 + 1 = 5
Find the length of the hypotenuse. The measure of the hypotenuse?
Answer:
Since it's a right angled triangle
Hypotenuse = h
h² = 7²+24²
h= √49 + 576
h = √625
h= 25
Therefore hypotenuse is 25
Hope this helps.
Answer & Step-by-step explanation:
First, we must know the Pythagorean Theorem.
a² + b² = c²
a = 24
b = 7
Now, let's plug in these numbers into the formula.
24² + 7² = c²
Simplify the exponents.
576 + 49 = c²
Add 576 and 49 together.
625 = c²
Square root the terms on both sides of the equation.
√625 = √c²
Simplify the square roots.
25 = c
The length of the hypotenuse is 25 units.
Please help! Correct answer only!
There is a raffle with 200 tickets. One ticket will win a $430 prize, four tickets will win a $80 prize, six tickets will win a $40 prize, and the other tickets will win nothing. If you have a ticket, what is the expected payoff?
$___
Answer:
$ 30.25
Step-by-step explanation:
Consider adding these winning values, in addition to the number of tickets for each as well;
[tex]Total Money That Could Be Won - 430 + 80 + 40 = 550 Dollars,\\Number of Tickets Corresponding To Money Won - 1 + 4 + 6 = 11 Tickets,\\\\Total Tickets - 200 Tickets,\\\\Probability Of Winning - 11 / 200 = 0.055,\\Proportionality - 0.055 = x / 550,\\\\0.055 = x / 550,\\x = 0.055 * 550,\\x = 30.25 Dollars\\\\Conclusion ; x = 30.25[/tex]
Solution ; " Expected Payoff " = 30.25 Dollars
Select the graph for the solution of the open sentence. Click until the correct graph appears.
4|x| - 1 < -4
Answer:
No solution!
Just turned it in <3
Answer:
tis indeed no solution your honor
Step-by-step explanation:
Please help me with this question
Answer:
P = (2, 3)
Step-by-step explanation:
P is a local minimum, so can be found from the upper zero of the derivative.
y' = 0 = 3x^2 -8x +4
0 = (3x -2)(x -2)
x = 2/3, x = 2
So, the x-coordinate of P is 2. The y-coordinate is found by evaluating the function:
y = ((x -4)x +4)x +3 = ((2 -4)2 +4)2 +3 = 3
The coordinates of P are (2, 3).
__
A graphing calculator confirms this result.
why is 1.5 + 2 + 3 = 5 + (2 + 3) false ?
Answer:
because each side has a different value making that = sign false
Step-by-step explanation:
Answer:
It is false.
Step-by-step explanation:
If you calculate the sum, you get 6.5 = 10.
6.5 does not equal ten. If you need me to go further in depth, let me know!
Harrison pours sand into a bucket at a constant rate. the graph shows the total weight of the bucket and the sand over time. after 10 seconds, the total weight is 50 ounces.
what is an equation of the line parallel to the line on the graph that passes through (2,25)?
Answer:
y = 4x +17
Step-by-step explanation:
we can find the equation of line when given two points or a point and the gradient/slope.
In the above line we have two points (0,10) and (10,50),
The slope of the line is therefore 4
Parallel lines have equal slopes or gradient, therefore the slope of the other line is still 4. And the line pases through a point (2,25), hence
Equation will be, (y-25)/(x-2) = 4
= y-25 = 4x-8
= y =4x +17
Thus the appropriate equation is y = 4x +17
Answer:
Y = 4 x + 17
Step-by-step explanation:
Confirmed. Just took it
The graph below represents the distance a pilot is from the home airport during a period of time.
Answer:
C. Decreasing
Step-by-step explanation:
Brenden bought 20 bananas and apples, at $1.20 per banana and
$1.40 per apple. The total cost was $26.
How many bananas and apples did he buy, respectively?
Answer:
hey so im guessing its 10 bananas and 10 apples
Step-by-step explanation:
1.2x 10=12
1.4x10= 14
12+14=26
in what ways can the graph of a linear function be transformed
Answer:
Using Transformations
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Consider the trinomial x2 − 9x + 20.
The factors of this trinomial are ()().
Answer:
[tex](x - 4)(x - 5)[/tex]
Step-by-step explanation:
x2 − 9x + 20
[tex] {x}^{2} - 9x + 20 \\ {x}^{2} - 5x - 4x + 20 \\ x(x - 5) - 4(x - 5) \\ (x - 4)(x - 5)[/tex]
The factors of the given trinomial are (x-5)(x-4).
The given trinomial is x²− 9x + 20.
How to factorise trinomial?To the factor, a trinomial in the form x² + bx + c, find two integers, r and s, whose product is c and whose sum is b.
Rewrite the trinomial as x² + rx + sx + c and then use grouping and the distributive property to factor the polynomial. The resulting factors will be (x + r) and (x + s).
Now, x²− 9x + 20 can be written as x²− 5x-4x + 20
=x(x-5)-4(x-5)
=(x-5)(x-4)
Therefore, the factors of this trinomial are (x-5)(x-4).
To learn more about the trinomials visit:
https://brainly.com/question/9102330.
#SPJ5
Really need help it’s due tomorrow
Answer:
C) 38
Step-by-step explanation:
You are solving for m∠QSR.
Given:
m∠TSR (Total of the two angles) = 70
m∠QST = 2x
m∠QSR = 3x - 10
Set the two angles equal to the total measurement of angles:
2x + 3x - 10 = 70
Simplify. Combine like terms. Add 2x & 3x:
2x + 3x = 5x
5x - 10 = 70
Next, isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 10 to both sides:
5x - 10 = 70
5x - 10 (+10) = 70 (+10)
5x = 70 + 10
5x = 80
Next, divide 5 from both sides:
(5x)/5 = (80)/5
x = 80/5
x = 16
Then, plug in 16 for x in the expression given. Remember you are solving for m∠QSR.
m∠QSR = 3x - 10
m∠QSR = 3(16) - 10
m∠QSR = 48 - 10
m∠QSR = 38
C) 38 is your answer.
~
Answer:
38
Step-by-step explanation:
the sum of two angles =70
2x+3x-10= 70
5x=80
x=80/5=16
QSR= 3x-10=3*16 -10= 48-10= 38
The value of zlatans house has increased by 7% his house is now valued at £749 000 work out the value of the house before the increase
Answer:
Let x be the value of the house before increase
Since it's increases add 7% to the overall 100%
107/100x = 749000
x = 700000
The value of the house before increase is £700000.
Hope this helps.
Mr. Johnson has a garden in the shape of a kite with a length of 5 feet and a width of 4 feet. A bag of topsoil covers 10 square feet.
The area of each triangle is 5 ft²
The area of the garden is 10 ft²
The number of bags of topsoil needed is 1 bag
Hope this helps
-Carrie
Please mark brainliest
Stay safe
The area of each triangle is 5² ft
The area of the garden is 10 ft2.
The number of bags of topsoil needed is 1 .
I know this is a SUPER easy question, i’m just dumb. Question in photo.
Answer:
Quadrant III (Answer C)
Step-by-step explanation:
(4, 7) is in Quadrant I. Rotating it 180 degrees around the origin places it in Quadrant III (Answer C).
Answer:
Quadrant 3 (Answer C)
Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?
Answer:
Option (4)
Step-by-step explanation:
An ordered pair (x, y) represents,
x = number of days that a library book is late
y = Total fee for the delay
Late fee of a library book = $0.30 per day
Then late fee of a book for the delay of 'x' days,
y = per day fee × number of days delayed
y = [tex]0.30\times x[/tex]
Option (1). For (-3, -0.90)
Since number days can't be negative so not the answer.
Option (2). For (-2.5, -0.75)
Number of days are negative so can't be the answer.
Option (3). For (4.5, 1.35)
Fee for 4.5 days will be,
y = 0.30(4) [Since fee is charged after completion of one day or in the midnight]
Fee for 4.5 days will be the same as fee for 4 days.
y = $1.20
Therefore, this option will not be the answer.
Option (4). For (8, 2.40)
y = 0.30x
y = 0.30(8)
y = 2.40
Therefore, option (4) will be the answer.
Answer:
8,2.40
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Draw the reflection of the figure over the line shown.
Answer:
Step-by-step explanation:
Plssssssss........helppppppp meeeeeee
Answer:
The coefficient is 12
Step-by-step explanation:
The coefficient is the number next to the variable in the term
12p
The coefficient is 12 and the variable is p
What are the factors of 36xyz?
A. 36,x,y
B. 36x,y,z
C. x,y,z
D. 36,x,y and z
Answer:
ç
Step-by-step explanation:
Robin is a competitive archer. Her average arrow is within 6.5 cm of the center of the bullseye. John, Robin's trainer, keeps close records of each of Robin's shots so he can tell if she is improving. The graph below is John's record of Robin's last three arrows, where (0,0) is the center of the bullseye.
Answer:
Arrow C.
Step-by-step explanation:
Out of three arrows, nearest arrow from the origin will be the best arrow.
Ordered pair for arrow A → (-5, 4)
Distance between A and bullseye = [tex]\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2}[/tex]
= [tex]\sqrt{(0+5)^2+(0-4)^2}[/tex]
= [tex]\sqrt{41}[/tex]
= 6.40 units
Ordered pair for arrow B → (5, -5)
Distance between B and bullseye = [tex]\sqrt{(0-5)^2+(0+5)^2}[/tex]
= [tex]5\sqrt{2}[/tex]
= 7.1 units
Ordered pair for arrow C → (-2, -6)
Distance between C and the bullseye = [tex]\sqrt{(0+2)^2+(0+6)^2}[/tex]
= [tex]\sqrt{40}[/tex]
= 6.32 units
Distance between C and the bullseye is the shortest.
Therefore, arrow C will be the best arrow.
Answer:
6.3 cm
Step-by-step explanation:
PLEASE help, i will give brainliest<3
Please simplify then determine the value of the polynomial when n=3 and when n=2.
a) (5n^2 + 3n -4) + (-3n^2 + 4n -1)
b) (7n^2 - 5n - 2) - (-n^2 + 6n + 8)
Answer:
a. 34
b. 0
Step-by-step explanation:
you plug the n values as n
note when -n^2, you do this:
[tex]-(2)^{2}[/tex]= -4
so don't mistake it for +4
pay special attention to the signs to solve like:
+ times - is a negative!
Answer:
Simplified Expression a ) 2n^2 + 7n - 5,
Simplified Expression b ) 8n^2 - 11n - 10,
When n = 3 part a ) 34,
When n = 2 part a ) 17,
When n = 3 part b ) 29,
When n = 2 part a ) 0
Step-by-step explanation:
Consider the " simplification " process at hand;
[tex]a ) (5n^2 + 3n -4) + (-3n^2 + 4n -1),\\5n^2+3n-4-3n^2+4n-1,\\5n^2-3n^2+3n+4n-4-1,\\\\Simplified Expression = 2n^2+7n-5[/tex]
[tex]b ) (7n^2 - 5n - 2) - (-n^2 + 6n + 8),\\7n^2-5n-2+n^2-6n-8,\\\\Simplified Expression = 8n^2-11n-10[/tex]
For each part ( a and b ) I removed the ( ) and grouped like elements to receive the simplified expression;
Value of each polonomial;
[tex]a ) 2n^2 + 7n - 5,\\2 * ( 3 )^2 + 7 * ( 3 ) - 5,\\34\\\\2 * ( 2 )^2 + 7 * ( 2 ) - 5\\17[/tex]
[tex]b ) 8n^2 - 11n - 10,\\8 * ( 3 )^2 - 11 * ( 3 ) - 10,\\29\\\\8 * ( 2 )^2 - 11 * ( 2 ) - 10,\\0[/tex]
Each expression was solved through substitution and algebra.
" Simplified " Solution - See in answer above
* I hope the answer wasn't too confusing, for further information look through my response thoroughly
Please help! Correct answer only!
In a carnival game, there is a machine that will shuffle a deck of 50 cards numbered from 1 to 50 and then spit one card out. If the number on the card is odd, you win $15. If the number on the card is even, you win nothing. If you play the game, what is the expected payoff?
$___
Answer:
$7.50
Step-by-step explanation:
Since there is a 50% chance that the card is odd, the expected payoffs would be $15 * 50%=0.5*15=7.5. Hope this helps!
