Answer:
(x+y) + (x-y) = x + y + x - y =2x
(x+y)(x-y)=x^2 + yx - xy - y^2 = x^2 - y^2
(x+y) ( x-y)
x^2 - y^2
Step-by-step explanation:
Over the summer, Jarrod did online tutoring with kids. He was paid a total of $342.30 for 42 hours of tutoring. What was his hourly rate of pay?
Answer:
His hourly rate is $8.15.
Step-by-step explanation:
The hourly rate is how much he earns in one hour. We know how much he earns in 42 hours ($342.3).
So what we need to do is to divide that amount ($342.3) by 42.
And we get $8.15.
what do i get for this Question a-b=18 find a and b
Your answer is A = 12.375 and B = 5.625.
which ordered pair is a solution to the equation?
PLEASE HELPP!! What is the slope and Y intercept of this equation?
Answer:
The slope is 10
The y - intercept is 20
Step-by-step explanation:
The equations are written as:
y = ?x + ?
The first ? is the slope of the equation, every time y increases by that amount, x increases by one, the slope here is 10
The second ? is the y-intercept, or the place where x is 0. Here, when x is 0, y is 20, so it is the y-intercept
I need help with this, it's due today. *i'll give brainliest if you answer all of them*
Answer:
1. x = 13
2. a = 15
3. y = 3
4. g = -24
5. z = 5.57
6. h = 7.5
7. b = 5.8
8. w = -4.5
13. 29 chapters
14. 23.7 pounds
Step-by-step explanation:
hope this helps! :D
4. Aidan wrote the interval (-5, 4) and claimed it was equivalent to the graph below. Explain what he did
wrong and correct his mistake.
Can you solve this? Thank you
Answer:
14
Step-by-step explanation:
ratio of red : blue = 4 : 3 = 4x : 3x ( x is a multiplier )
8 red counters are added , so
4x + 8 : 3x = 8 : 3
Expressing the ratio in fractional form
[tex]\frac{4x+8}{8}[/tex] = [tex]\frac{3x}{3}[/tex] ( cross- multiply )
24x = 3(4x + 8) = 12x + 24 ( subtract 12x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
original number of counters = 4x + 3x = 7x = 7(2) = 14
Help please no funny stuff!
The last one is
10,15
20,25
8,30
20,35
Answer:
the last one none over lap
3n - 31 = 8 + 7 ( 1 + 7n)
[tex]n = - 1[/tex]
hope it helpsplssss help picture down below
Answer:
it is (-4,1)
Step-by-step explanation:
Hope this helps:)
Brent has 4.42 in pennies and dimes. If he has 163 coins in all, find the number of pennies and dimes
9514 1404 393
Answer:
132 pennies31 dimesStep-by-step explanation:
If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.
Brent has 31 dimes and 132 pennies.
_____
Solution using an equation
You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...
1(163-d) +10d = 442
9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)
9d = 442 -163 = 279 . . . . . . subtract 163
d = 279/9 = 31 . . . . . . . . . . divide by 9
Brent has 31 dimes and 163-31 = 132 pennies.
Answer:
Step-by-step explanation:
a tv was sold at 9% profit with cost price rs 18000 calculate the sale price of tv
Answer:
the sale price of tv is 1620
Step-by-step explanation:
9/100 because full percentage is from 100%
9/100 x 18000
cut 00 from 18000
we will cut it because 100 also have two 0 and 18000 we will cut two 0
next it will be = 9/1 x 180 one is nothing no so it will be
9 x180 answer = 620
plz mark me as brainliest
Susan has a collection of 90 nickels and dimes. If the number of nickels is five times the number of dimes, how many nickels and how many dimes does she have?
Answer:
15 Dimes and 75 Nickles
Step-by-step explanation:
N = Nickles
D = Dimes
5D + D = 90
6D= 90
D= 15
90 - 15 = 75
N = 75
There are 75 nickels and 15 dimes does she have.
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;
Susan has a collection of 90 nickels and dimes.
And, The number of nickels is five times the number of dimes.
Now,
Since, The number of nickels is five times the number of dimes.
Let number of dimes = x
Then, Number of nickels = 5x
Since, Susan has a collection of 90 nickels and dimes.
Hence, We can formulate;
⇒ 5x + x = 90
⇒ 6x = 90
⇒ x = 15
Thus, The number of dimes = 15
And, Number of nickels = 5 × 15 = 75
Therefore, There are 75 nickels and 15 dimes does she have.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ5
If PQ = 6cm, QR = 55cm and RP = 55cm, What type of triangle can be constructed?
Answer:
isosceles triangle
Step-by-step explanation:
In an isosceles triangle 2sides are equal
What is the value of y?
09
O 18
O 3
Answer:
The answer is 9
Step-by-step explanation:
First looking at the triangle with the 90 degree sign in it we know that the other angles in that triangle will have to add with 90 to equal 180
So doing the easier way replace 9 with y and do this for the other numbers 3 and 18 to see if the result of (2y+18) and 4y will equal the same number
[tex](2(9)+18)=36 \\4(9)=36[/tex]
[tex](2(3)+18)=24 \\4(3)=12[/tex]
[tex](2(18)+18)=54 \\4(18)=72[/tex]
and because the lines on each triangle represent that those sides are congruent
I hope this because I am only using what I remember from geometry but please let me know if I am wrong
Una compañía de frutas entrega sus frutas en dos tipos de caja: grande y pequeña. Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos. Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos. ¿Cuánto pesa cada tipo de caja?
Usando un sistema de ecuaciones, se encuentra que:
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Para el sistema, considera-se que:
x es el peso de una caja grande.y is el peso de una caja pequeña.Una entrega de 3 cajas grandes y 5 cajas pequeñas tiene un peso total de 112 kilogramos, o ea:
[tex]3x + 5y = 112[/tex]
Una entrega de 6 cajas grandes y 2 cajas pequeñas tiene un peso total de 118 kilogramos, o sea:
[tex]6x + 2y = 118[/tex]
Simplificando por 2 :
[tex]3x + y = 59 \rightarrow y = 59 - 3x[/tex]
Reemplazando en la primera ecuación:
[tex]3x + 5y = 112[/tex]
[tex]3x + 5(59 - 3x) = 112[/tex]
[tex]3x + 295 - 15x = 112[/tex]
[tex]12x = 183[/tex]
[tex]x = \frac{183}{12}[/tex]
[tex]x = 15.25[/tex]
[tex]y = 59 - 3x = 59 - 3(15.25) = 13.25[/tex]
Cada caja grande pesa 15.25 kg.Cada caja pequeña pesa 13.25 kg.Un problema similar es dado en https://brainly.com/question/24646137
1 1/3 x 1 2/3 please help
Answer:
_
6.1
Step-by-step explanation:
_
11/3 * 5/3 = 11·5/3·3 = 55/9 = 6.1
In the given figure, PQ 11 RS, find the value of x.
Answer:
73 degrees
Step-by-step explanation:
Alternate interior angles: 123 is angle ACS, so that means PAC has the same value as this because PQ and RS are parallel.
So, now just subtract 50 from 123 to get x.
Which expression is equivalent? Thank you:)
Answer:
A
Step-by-step explanation:
because this is right
The length of an eraser is ¾ inch. How many erasers would it take to make a row 42 inches long?
Answer:Let us suppose that we have 2 erasers. so the length of a row of 2 erasers would be
3/4+3/4=2 3/4
So, let us suppose that we have x erasers. The length of the row of x erasers would be
3/4 x
we want x such that this length is 42, so we have the equation
3/4 x =42
Step-by-step explanation:
A ski resort is building two parallel straight ski slopes for children. One of them has a gradient of 1/3. The other ski slope will pass through points (2,-3) and (s,-5). Find the value of s
Answer: s= -8
Step-by-step explanation:
The gradient of the ski slope can ge used as the slope (literally) of a line equation:
y = mx + b,
where m is the slope and b the y-intercept (the value of y when x = 0).
The first slope would be y = -(1/3)x + b.
The slope is (-1/3) since the ski run is headed downhill. The second ski slope is assumed to have the same gradient ("two parallel straight ski slopes").
y' = -(1/3)x' + b
We may assume that b is the same for both slopes - they start and end at the same point.
We can find b by using the given point (2,-3):
y' = -(1/3)x' + b
-3 = -(1/3)(2) + b
-3 = -(2/3) + b [Add -(2/3) to both sides: (-3 + 2/3 = -9/3 + 2/3 = -7/3]
-7/3 = b
b = -(7/3)
The second ski slope, y', thus has the equation
y' = (1/3)x' -(7/3)
We want the value of s in (s, -5).
y' = (1/3)x' -(7/3)
-5 = (1/3)s -(7/3)
(1/3)s = -5 +(7/3) [-15/3 + 7/3 = -8/3]
(1/3)s = -(8/3) [Multiply both dies by 3]
s = -(24/3)
s = -8
Simplify the expression using the order of operations.
4+(3+2)2
= 4+
2
= 4+
=
Step-by-step explanation:
4+(3+2)2
4+(5)2
4+10
14
A zebra can run at a constant speed of 0.60 miles per minute. How far can a zebra run in 30 minutes? Choose the equation that could be used to answer this question
Answer:
0.6x30=18
Step-by-step explanation:
18 miles would be how far it ran.
You didn't give us any answer choices for which equation, so I would say the equation I wrote could work.
Answer:
0.6 × 30 = 18
Step-by-step explanation:
You multiply the two values to get 18:
0.6 * 30 = 18
Hope that helps! :)
Find the nth term of this sequence
-3 -5 -7 -9 -11 ...
Answer:
Step-by-step explanation:
Answer:
2n-1
Step-by-step explanation:
-5 ---> -3 = 2
-3 -2= -1
what is the domain of the relation shown
Which of the following functions has a factor of x + 1?
f(x) = x^3 – 12x^2 + 27x + 40
f(x) = x^3 - 14x^2 + 53x – 41
f(x) = x^3 – 14x^2 + 53x + – 40
f(x) = x^3 - 12x² + 27x + 39
Answer:
x³-12x²+27x+40 has factors (x-8)(x-5)(x+1)
This table shows the battery percentage of a phone after it
has been used for x hours.
When graphed, all of these points lie on the same line.
What is the y-intercept and slope of this line?
Drag an answer into each box.
Answer:
yint -= (0,100) slope = -5 2/3
Step-by-step explanation:
yint is (0,100) because thats where it hits the y axis
slope equation is (y1-y2)/(x1-x2), just pick out any two points to do this with
(83-66)/(3-6)
17/-3
-5 2/3
Answer:
slope -17/3 y -intercept 100
Step-by-step explanation:
Theresa created a piece of art by attaching a square plank to a triangular plank. The square plank has a perimeter of 48 inches. The triangular plank has a base length of 12 inches and a height of 6 inches. She wants to cover the piece of art with colored paper.
How many square inches of paper are needed to cover Theresa's art piece?
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
The perimeter of the square is 48. The Square has 4 sides so 48/4 = 12.
One side of the square is 12. Use [tex]12^{4}[/tex] to calculate the area. [tex]12^{4}[/tex] = 144.
Triangle base = 12 and height = 6. 12 times 6 divided by 2 = 36.
144 + 36 = 180
Please, If you can help i will be grateful and give brainliest.
Answer:
To complete the square, you always want to add [tex](\frac{a}{2} )^{2}[/tex], where a is the coefficient of x.
In this case, the coefficient of x is -1.
Thus,
[tex]y=x^2-x+1[/tex]
[tex]y=x^2-x+(\frac{-1}{2})^2 +1-(\frac{-1}{2})^2[/tex]
[tex]y=(x-\frac{1}{2})^2+1-\frac{1}{4}[/tex]
[tex]y=(x-\frac{1}{2})^2+\frac{3}{4}[/tex]
find equation of a line containing (3,-4) and having a slope of -2. if this line contains the points(a, 8) and (5,b) find a and b
i will give brainlest for the best answers with best explanation
Answer:
a = - 3, b = - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 2 , then
y = - 2x + c ← is the partial equation
To find c substitute (3, - 4 ) into the partial equation
- 4 = - 6 + c ⇒ c = - 4 + 6 = 2
y = - 2x + 2 ← equation of line
------------------------------------------------------------------
Substitute (a, 8 ) into the equation and solve for a
8 = - 2a + 2 ( subtract 2 from both sides )
6 = - 2a ( divide both sides by - 2 )
- 3 = a
Substitute (5, b ) into the equation and solve for b
b = - 2(5) + 2 = - 10 + 2 = - 8