Answers
Answer:
x = (c + 6b)/3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define
-b + 3x = c + 5b
Step 2: Solve for x
Add b to both sides: 3x = c + 6bDivide 3 on both sides: x = (c + 6b)/3Related Questions
A researcher wanted to know which type of toy 3-year-olds prefer for play. The researcher placed a tricycle, blocks, a train set, and puzzles in a room and observed how many of 20 children played with each type of toy. What is the k value for this study
Answers
Answer:
k = 4
Step-by-step explanation:
The formula for binomial probability distribution is;
P(X = k) = C(n, k) × p^(k) × (1 - p)^(n - k)
Where C(n, k) is the number of possible ways that n number of people choose k.
While p is probability of success
In this question, 20 children want to choose from 4 toys namely tricycle, blocks, a train set, and puzzles.
This means that from binomial probability distribution formula, n = 20 and k = 4.
A3ft board weighs 2 pounds. How much
does a 12 ft board weigh?
Answers
Answer:
8 pounds
Step-by-step explanation:
3 ft board = 2lb
12 ft board is 4 times more so
2x4 = 8 lb
If point A (4, -3) is translated 3 units horizontally and -5 units vertically, rotated 90° clockwise, reflected over the x-axis, and dilated by a factor of 5: a) What is the rule (written using proper symbols)? b) What are the coordinates of A'?
Answers
Given:
Point A (4, -3) is translated 3 units horizontally and -5 units vertically, rotated 90° clockwise, reflected over the x-axis, and dilated by a factor of 5.
To find:
The rule and coordinates of A'.
Solution:
Let a point be P(x,y).
If a point translated 3 units horizontally and -5 units vertically, then
[tex]P(x,y)\to P_1(x+3,y-5)[/tex]
Then, rotated 90° clockwise.
[tex](x,y)\to (y,-x)[/tex]
[tex]P_1(x+3,y-5)\to P_2(y-5,-(x+3))[/tex]
Then, reflected over the x-axis.
[tex](x,y)\to (x,-y)[/tex]
[tex]P_2(y-5,-(x+3))\to P_3(y-5,x+3)[/tex]
Dilated by a factor of 5.
[tex](x,y)\to (5x,5y)[/tex]
[tex]P_3(y-5,x+3)\to P'(5(y-5),5(x+3))[/tex]
[tex]P_3(y-5,x+3)\to P'(5y-25,5x+15)[/tex]
So, the rule of transformation is
[tex](x,y)\to (5y-25,5x+15)[/tex]
We have a point A(4,-3). So, put x=4 and y=-3.
[tex]A(x,y)\to A'(5(-3)-25,5(4)+15)[/tex]
[tex]A(x,y)\to A'(-15-25,20+15)[/tex]
[tex]A(x,y)\to A'(-40,35)[/tex]
Therefore, the coordinate of point A' are (-40,35).
Rocío paga por un par de zapatos 94.50 soles sabiendo que es el precio y luego de los descuentos sucesivos de 10 %y 20% cuál es el precio original de los zapatos
Answers
Responder:
$ 131.25
Explicación paso a paso:
Dado que :
Importe pagado tras sucesivos descuentos del 10% y 20%
Sea el costo original = x
Importe final tras ambos descuentos = 94,5
Primer descuento = (1 - 0.1) x = 0.9x
Segundo descuento: (1 - 0.2) de 0.9x = 0.8 de 0.9x = 94.5
Es decir ; 0,8 * 0,9x = 94,50
0,72x = 94,50
Dividir ambos lados por 0,72
0,72x / 0,72 = 94,50 / 0,72
x = 131,25
Por lo tanto, precio original = $ 131.25
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply
Answers
Answer:
When x=2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x=8
Step-by-step explanation:
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply. 7 x + 4 and 3 x + 5 + 4 x minus 1
When x = 2, both expressions have a value of 18.
7x + 4
= 7(2) + 4
= 14 + 4
= 18
3x + 5 + 4x - 1
3(2) + 5 + 4(2) - 1
6 + 5 + 8 - 1
= 18
The expressions are only equivalent for x = 4 and x = 6.
• This is not true because the expression is also equivalent for x = 2
The expressions are only equivalent when evaluated with even values.
When x = 1
7x + 4
7(1) + 4
= 7 + 4
= 11
3x + 5 + 4x - 1
3(1) + 5 + 4(1) - 1
3 + 5 + 4 - 1
= 11
The expressions have equivalent values for any value of x.
Yes, it has an equivalent value at any value of x
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
7x + 4
7(0) + 4
= 0 + 4
= 4
3x + 5 + 4x - 1
3(0) + 5 + 4(0) - 1
0 + 5 + 0 -1
= 4
The expressions have equivalent values if x = 8.
7x + 4
7(8) + 4
56 + 4
= 60
3x + 5 + 4x - 1
3(8) + 5 + 4(8) - 1
24 + 5 + 32 - 1
= 60
Answer:
1,4,7
Step-by-step explanation:
NEED ANSWER ASAPPP PLEASE!!
Answers
Answer:
(-2, -12), (0, 2), (2, 16), (4, 30)
Step-by-step explanation:
Input: -2
y = 7x + 2
y = 7(-2) + 2
y = -14 + 2
y = -12 (Output)
Input: 0
y = 7x + 2
y = 7(0) + 2
y = 0 + 2
y = 2 (Output)
Input : 2
y = 7x + 2
y = 7(2) + 2
y = 14 + 2
y = 16 (Output)
Input: 4
y = 7x + 2
y = 7(4) + 2
y = 28 + 2
y = 30 (Output)
Please help I’m being timed
Four points are shown
D (-2, 1)
E (1, 5)
F (4, 9)
G (7, -3)
which three points are contained by the same line?
A: D, E, F
B: E, F, G
C: D, E, G
D: D, F, G
Answers
. Solve for c: 36 + c = 65 *
Answers
Answer:
29
Step-by-step explanation:
I subtracted 65 from 36 since the question only gave me 2 numbers and a variable to use.
Step-by-step explanation:
c = 65 - 36
c = 29
C is 29 that is the answer
-7(6x+7)=-133
show work
Answers
Answer:
multiply -7 by 6x and then multiply-7 by 7
-7(6x)-7(7)
-42x-49=-133
+49. +49
the 49 cancel out
-42x=-84
divide both sides by -42
-42x/-42=-84/-42
the -42 cancel out
leaving x=2 the negatives cancel out making it positive
Write a quadratic equation in standard form that has two solutions, 6 and - 8
Answers
0
at the given points
6
and
−
10
.
Our quadratic equation should be a product of expressions which are zero at the specified roots.
Consider
(
x
−
6
)
⋅
(
x
+
10
)
=
0
This equality holds if
x
=
6
since
(
6
−
6
)
⋅
(
6
+
10
)
=
0
⋅
16
=
0
And the equality holds if
x
=
−
10
since
(
−
10
−
6
)
⋅
(
−
10
+
10
)
=
−
16
⋅
0
=
0
Expanding this equation by the FOIL method, we get:
x
2
+
10
x
−
6
x
−
60
Combining like terms, we find our solution:
YALL I NEED HELP, I’m BEGGINGGGGGF
Answers
Answer:
the first one
Step-by-step explanation:
☺️☺️☺️☺️☺️☺️☺️☺️☺️☺️
6. Which expression is equivalent to (14442,6 for all positive values of k and r? OF 12kr7 O G.726?-14 OH 144kry O J. 126-14
Answers
Answer:
the answer is 12k²r¹⁴.........
c/38 = 44/19
what does c equal?
Answers
Answer:
c = 88
Step-by-step explanation:
c/88 = 44/19
19×c = 44×38
19c = 1672
c = 88
√2x-7+X= 5
Solve the equation with work shown below
Answers
Answer:
[tex]x=12(\sqrt2-1)[/tex]
Step-by-step explanation:
The given equation is :
[tex]\sqrt{2} x-7+x=5[/tex]
Add 7 to both sides of the equation.
[tex]\sqrt{2} x-7+x+7=5+7\\\\\sqrt{2} x+x=12[/tex]
Taking x common from both sides of the equation.
[tex]x(\sqrt{2} +1)=12\\\\x=\dfrac{12}{\sqrt2+1}[/tex]
Multiplying both numerator and denominator by [tex]\sqrt2-1[/tex]
[tex]x=\dfrac{12}{\sqrt2+1}\times \dfrac{\sqrt2-1}{\sqrt2-1}\\\\=\dfrac{12(\sqrt2-1)}{2-1}\\\\=12(\sqrt2-1)[/tex]
Hence, the value of x is [tex]12(\sqrt2-1)[/tex].
I NEED HELP FAST!!!
What is the area of this figure?
Enter your answer in the box.
Answers
Answer:
81
Step-by-step explanation:
area of top triangle = 1/2 x 8 x 9 = 36
area of rhombus = 9 x 5 = 45
sum of areas = 81
At the movie theater all snacks and all movie tickets are priced the same. Four snacks and three movie tickets cost $40. Two snacks and three movie tickets are $32.
Answers
We know that four snacks and three movie tickets cost $40 dollars, and when you take away 2 snacks but still keep the tickets, its $32.
2 snacks= $8
What i did to find the cost of each ticket is I divided 8 by 2 (8/2) and ended getting $4
1 snack= $4
Now to find the cost of each ticket, i divided 2 snacks ($8) and got this equation:
32 - 8= 24
3 tickets= $24
Now to find the amount for each ticket, i divided 24 by 3 (24/3) and got the answer:
1 ticket= $8
Therefore, snacks are $4 and movie tickets are $8
Thank you! Btw can i please get brainly :3
The sum of the angles of any triangle is
Answers
Answer:
180 degrees
Step-by-step explanation:
Which of the following is an equation of the line through (3, −1) and (−2, 14)?
y=1/5x+ 13/5
y= -1/5 x+ 17/5
y = -3x + 8
y = 3x + 8
Answers
Mallory and Aimee save money for summer camp. They both plan to save the same amount of money. Mallory has 35$ and plans to save 15$ each week. Aimee has 5$ and plans to save 50$ a week. How many weeks it'll take for Aimee and Malloy to have the same amount of money
Answers
Answer:
0.857 weeks
Step-by-step explanation:
Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...
M = 35 + 15x
A = 5 + 50x
Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money
35 + 15x = 5 + 50x ... subtract 5 and 15x from both sides
30 = 35x ... divide both sides by 35
[tex]\frac{30}{35}[/tex] or 0.857 = x
Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.
*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***
The temperature of a solution in a science experiment is –6.2℃. Jesse wants to raise the temperature so that it is positive. Give an example of a number of degrees Celcius by which Jesse could raise the temperature? pls i need the answer
Answers
Answer:
184
Step-by-step explanation:
hope this helps!! :D
The gardening store sells clay flower pots, which hold 2 litres of dirt, and ceramic flower pots, which hold 7 litres. Tara bought 35 flower pots, which will hold a total of 150 litres of dirt. How many of each flower pot did she buy?
Answers
Answer:
The number of clay flower pots = x = 19
The number of ceramic flower pots = y = 16
Step-by-step explanation:
Let
The number of clay flower pots = x
The number of ceramic flower pots = y
Tara bought 35 flower pots
= x + y = 35
x = 35 - y
The gardening store sells clay flower pots, which hold 2 litres of dirt, and ceramic flower pots, which hold 7 litres. Tara bought 35 flower pots, which will hold a total of 150 litres of dirt.
Hence:
2x + 7y = 150.... Equation 2
Substitute 35 - y for x in Equation 2
2 (35 - y) + 7y = 150
70 - 2y + 7y = 150
-2y + 7y = 150 - 70
5y = 80
y = 80/5
y = 16 flower pots
x = 35 - y
x = 35 - 16
x = 19 flower pots
The number of clay flower pots = x = 19
The number of ceramic flower pots = y = 16
Answer:
The number of clay flower pots = 19
The number of ceramic flower pots = 16
Step-by-step explanation:
Divide the polynomials.
right answers only
Answers
Answer:
x+9
Step-by-step explanation:
I got it right on the quiz
Someone please help with this question please
Answers
Step-by-step explanation:
Since Angle DAE = Angle BCE, lines AD amd BC are parallel (by Z-angles).
This means that Angle ADE = Angle CBE (by Z-angles).
We have 2 congruent angles and 1 congruent side (AD = BC, given).
By ASA congruence, triangles AED and CEB are congruent.
B.P. Mathur v. Union Of India
i need help quick!!!!! Ive been trying to figure this out for 20 mins now.
Whats one plus one?
A: 2
B:11
C:0
or D: not this one
Answers
Answer:
take one finger and than the other and how may fingers do you have now 2
simplify (y + 1)⁵ ÷ (y + 1)³
Answers
Answer:
[tex]given \\ \frac{ {(y + 1)}^{5} }{(y + 1) ^{3} } \\ as \: they \: have \: same \: base \\ {(y + 1)}^{5 - 3} \\ = (y + 1) ^{2} \\ or \: we \: can \: write \\ = (y + 1)(y + 1) \\ \\ hope \: it \: helps.[/tex]
Answer:
The answer is [tex]y^2+2y+1[/tex]
Explanation:
- Properties of Exponent -
[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
Our a is y+1
Our m is 5
Our n is 3
[tex]\frac{(y+1)^5}{(y+1)^3}=(y+1)^{5-3}\\(y+1)^2[/tex]
- Multiply The Polynomial -
As for the Quadratic Polynomial and being squared, we use the following formula:
[tex](x+y)^2=x^2+2xy+y^2[/tex]
Our x is y
Our y is 1
Thus,
[tex](y+1)^2=y^2+2(y)(1)+1^2\\(y+1)^2=y^2+2y+1[/tex]
As our simplified, multiplied form is [tex]y^2+2y+1[/tex]
Starter
£1 = €1.16
What are £2 worth in Euros?
What about £5?
And £50?
If we were to plot these on axes, what shape would the
graph be?
Where would the graph cross the axes?
What would we label the axes with?
Answers
Answer:
1) £2 = €2.32
£5 = €5.80
£50 = €58
2) The graph will be a straight line
3) (0, 0)
4) Label the independent variable, £ on the x-axis and dependent variable € on the y-axis
Step-by-step explanation:
1) The given conversion factors is £1 = €1.16
Therefore;
£2 = 2 × €1.16 = €2.32
£2 = €2.32
£5 = 5 × €1.16 = €5.80
£5 = €5.80
£50 = 50 × €1.16 = €58
£50 = €58
2) The shape of the plot of the directly proportional currencies graph will be a straight line
3) Given that the £ is directly proportional to the € and that the value of the € can be found directly by multiplying the amount in £ by 1.16, without the addition of a constant, the graph crosses the axes at the origin (0, 0)
4) The y-axes which is the dependent variable should be labelled €, while the x-axis which is the independent variable should be labelled £
Can somebody tell me the equation to this please ?? ASAP
Answers
Answer:
y= -5/1 + 1.90
Step-by-step explanation:
The y-intercept is hard to tell
But the rest is right
Answer:
I have a picture if that helps
Step-by-step explanation:
What is the area of the rectangle 3cm 3cm
Answers
Answer:
18 square centimeters
Step-by-step explanation:
To find the area of a rectangle follow the formula, A=lw. Where A is the area, l is the length, and w is the width. So to find the area plug the dimensions into the formula. This would be A=6 x 3, which equals 18. Therefore the answer is 18 centimeters squared.
Answer:
9 cm
Step-by-step explanation:
Area is length x width
3 cm x 3 cm = 9 cm
But if you are doing the problem from the picture it is
A = 6 cm x 3 cm
= 18 cm
Write an equation in slope-intercept form given the point and the slope. Then graph the equation.
Point: (2, 4); Slope: -3/4
Answers
Answer:
y=-3/4x+5.5
Step-by-step explanation:
Mary has some money to purchase furniture for her home. She bought a television that cost $1400. She spent 40% of the remaining money on a bed. If the bed cost 25% as much as the total amount of money she had at first. What is the difference between the cost of the television set and the bed?
Answers
Answer:
The difference $2.733.30
Step-by-step explanation:
Let the total money be x
The remaining money will be (x-1400)
40% of this on a bed
= 40/100 (x-1400)
= 0.4(x-1400)
cost of bed is 25% of x
Thus;
0.4(x-1400) = 25/100 * x
0.4(x-1400) = 0.25x
0.4x - 560 = 0.25x
0.4x-0.25x = 560
= 0.15x = 560
x = 560/0.15
So the difference between the tv and. bed, will be ;
560/0.15 - 1400
= (560-210)/0.15 = $2,333.33