what equation represents the model shown below?
Given:
The algebra tiles of an equation.
To find:
The equation represented by the given model.
Solution:
On the left side of the model we have 4 tiles of (-x) and 3 tiles of (-1). So,
[tex]LHS=(-x)+(-x)+(-x)+(-x)+(-1)+(-1)+(-1)[/tex]
[tex]LHS=-4x+(-3)[/tex]
[tex]LHS=-4x-3[/tex]
On the right side of the model we have 8 tiles of (-1). So,
[tex]RHS=(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)+(-1)[/tex]
[tex]RHS=-8[/tex]
Now, equate the LHS and RHS to get the equation.
[tex]-4x-3=-8[/tex]
Therefore, the equation for the given model is [tex]-4x-3=-8[/tex].
Solve for x. Enter the solutions from least to greatest. (x + 1)^2 - 36 = 0 Lesser x=____ Greater x=____
Answer: [tex]-7\ \text{and}\ 5[/tex]
Step-by-step explanation:
Given
The equation is [tex]\left(x+1\right)^2-36=0[/tex]
Solving it
[tex]\Rightarrow \left(x+1\right)^2=36\\\\\Rightarrow \left(x+1\right)=\pm\sqrt{36}\\\\\Rightarrow x+1=\pm6\\\Rightarrow x=-7,5[/tex]
So, the lesser value of [tex]x[/tex] is [tex]-7[/tex] and the greater value is [tex]5[/tex].
Edward invested $43,800 in an account which yields 4.8% annually and is not compounded. How much will be in the account after 2 years?
Answer:
betch Corvette Corvette hop 9n a coloor
Answer:
If the money isnt compounded i dont think he would make anything. Could you repost the question multiple choice?
Use the distance formula to find the distance to the nearest tenth, from R17, -2) to W(-2, 3).
Answer:
17.7
Step-by-step explanation:
I'm assuming you meant R(17, -2) to W(-2, 3). Here the x-coordinate changes by 17 - (-2), or 19, and the y-coordinate by 5. Think of these as the legs of a right triangle. The distance between these points is the length of the hypotenuse of this triangle: d = √(5^2 + 17^2)
or √314, which, to the nearest tenth is 17.7.
Dinner at olive garden cost $52.37. You Leave a 20% tip, What is the total cost
Answer:
62.84
Step-by-step explanation:
52.37 times 1.20(how you calculate tip) =62.84
Answer:
$62.84
Step-by-step explanation:
Tip is $10.47 add that with 52.37
If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip.
REINFORCE Tickets to the zoo cost $18 for adults and $8.25 for children. One day, the zoo sold 2,300 tickets and collected $30,168 in ticket sales. How many children and how many adults attended the zoo that day? Write a system and solve it by graphing. Be sure to sketch you graph, give the solution, and define your variables.
Given:
The cost of adults ticket = $18
The cost of children's ticket = $8.25
Total tickets = 2300
Total revenue = $30,168.
To find:
The number of children and number of adults attended the zoo that day.
Solution:
Let x be the number of children and y be the number of adults.
Equation for tickets: [tex]x+y=2300[/tex] ...(i)
Equation for revenue: [tex]18x+8.25y=30168[/tex] ...(ii)
Plot the graphs of the given equations on a coordinate plane as shown below.
From the graph it is clear that the graph of both equations intersect each other at (1148,1152).
It means the number of adults is 1148 and the number of children is 1152.
It can be solved algebraically as shown below:
Substitute the value of y in (ii) from (i).
[tex]18x+8.25(2300-x)=30168[/tex]
[tex]18x+18975-8.25x=30168[/tex]
[tex]9.75x=30168-18975[/tex]
[tex]9.75x=11193[/tex]
Divide both sides by 9.75.
[tex]x=\dfrac{11193}{9.75}[/tex]
[tex]x=1148[/tex]
Putting [tex]x=1148[/tex] in (i), we get
[tex]1148+y=2300[/tex]
[tex]y=2300-1148[/tex]
[tex]y=1152[/tex]
Therefore, the number of adults is 1148 and the number of children is 1152.
Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS,and 25 cents per off-peak time SMS.if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month, what will her monthly bill come to?
Answer:
Anita's monthly bill will be $164.25.
Step-by-step explanation:
Since Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS, and 25 cents per off-peak time SMS, if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month To determine what will her monthly bill come to, the following calculation must be performed:
100 + (0.85 x 45) + (0.25 x 105) = X
100 + 38.25 + 26.25 = X
138.25 + 26.25 = X
164.25 = X
Therefore, her monthly bill will be $ 164.25.
What percentage would my grade be if I got a 50% on a project that is worth 20% of my grade and my grade is 87%/B+.
How much would my grade go down?
PLEASE HELP ME
Answer:
you got 21.5/50 on final grade
and aslo follow me for more information
Determine the slope from the given graph below:
Answer:
y = -2x - 3
Step-by-step explanation:
Find the mean absolute deviation. Round to the nearest tenth.
Convert 118 to radian measure.
Round your answer to the nearest hundredth.
Answer:
2.06 rad
Step-by-step explanation:
To change degree measure to radian measure
radians = degrees × [tex]\frac{\pi }{180}[/tex] , then
radians = 118 × [tex]\frac{\pi }{180}[/tex]
= [tex]\frac{118(\pi )}{180}[/tex] ≈ 2.06 rad ( to the nearest hundredth )
Answer:
2.06 radians to nearest hundredth.
Step-by-step explanation:
Radians = degrees * π/180
= 118 * π/180
= 0.6556π
= 2.0596.
In trapezold ABCD, point D has coordinates D(1,3). If the trapezoid is translated
2 units left and 5 units down, what are the coordinates of D'?
Answer:
D’(-1,-2)
Step-by-step explanation:
Left = x -2 = 1-2 = -1
down = y-5 = 3-5 = -2
PLEASE HELP DUE TODAYY
Answer:
y <= 0
Step-by-step explanation:
it's shaded when the value of y is 0 or below 0 (the vertical axis)
cos 25° cos 20° - sin 25° sin 20° please help
Answer:
sin 20
Step-by-step explanation:
that is the answer it's sin 20 trust me
Consider the equation:
X^2-6 = 2 – 18x
1) Rewrite the equation by completing the square
2) What are the solutions to the equation?
The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².
The solutions to the equation is x = -9 + √89 or x = -9 - √89.
What is a quadratic equation?In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 6 = 2 - 18x
x² + 18x = 8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² + 18x + (18/2)² = 8 + (18/2)²
x² + 18x + 81 = 8 + 81
Part 2.
x² + 18x + 81 = 89
x² + 9x + 9x + 81 = 89
x(x + 9) + 9(x + 9) = 89
(x + 9)(x + 9) = 89
x = -9 + √89 or x = -9 - √89.
Read more on quadratic functions here: brainly.com/question/14201243
#SPJ1
Find the length, x, of the third side of the triangle.
Answer:
[tex]x=6.5~ units[/tex]
Step-by-step explanation:
[tex]x=\sqrt{13+29.25}[/tex]
[tex]= \sqrt{42.25}[/tex]
[tex]x=6.5[/tex]
Which algebraic expression represents 10 less than a number?
A. n + 10
B. 10 – n
C. n – 10
D. 10n
Answer:
C
Step-by-step explanation:
It means a no minus 10. I hope this helps. Good luck
============================================
Explanation:
Consider an example of saying "10 less than 50" would mean we compute 50-10 = 40
Another example would be "10 less than 78" so we say 78-10 = 68
In general, we would use algebra to go from "10 less than a number" to "a number - 10" to n - 10
Whatever n is, we subtract 10 from it to get that expression.
From there, we replace n with various numbers. Eg: replace n with 50
n-10 = 50-10 = 40
-----------------
Be careful not to mix up "10 less than a number" with "10 is less than a number". The "is" being the difference. This single word will change what the symbol interpretation will be.
"10 is less than a number" translates to 10 < n
P + 3.89 = 19.74
Have a good weekend
Answer:
15.85
Step-by-step explanation:
P + 3.89 = 19.74
Subtract 3.89 from both sides to isolate the variable.
P = 15.85
Just need to know the answer for this I’m stuck !
Answer:
6
Step-by-step explanation:
By intersecting chords theorem:
[tex]14(x - 3) = 12(x - 2) \\ \\ 14x - 42 = 12x - 24 \\ \\ 14x - 12x = 42 - 24 \\ \\ 2x = 18 \\ \\ x = \frac{18}{2} \\ \\ x = 9 \\ \\ LG = x - 3 \\ \\ LG = 9 - 3 \\ \\ LG = 6[/tex]
what is the unit rate of 2250 pencils in 18 boxes
Answer:
184
Step-by-step explanation:
i did it this on a test a while back
Answer: 125 Pencils per Box
Step-by-step explanation:
This is a fraction equal to
2250 Pencils ÷ 18 Boxes
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 18
2250 Pencils ÷ 18
18 Boxes ÷ 18
=
125 Pencils
1 Box
=
125 Pencils
Box
= 125 Pencils per Box
Will mark Brainlyist I need help ASAP
DEFG is a square. Find the measure of each of the angles,
Answer:
EFG = 90°
GDH = 45°
FEG = 45°
DHG = 90°
have a great day!
3/5 divided by -3/4 as a fraction
Answer:
-4/5
Step-by-step explanation:
To solve, you have to use a reciprocal so that it becomes 3/5 times -4/3.
3/5 times -4/3 is -12/15.
-12/15 in simplest form is -4/5.
Your answer is -4/5.
I hope this helps, have a nice day.
Answer: -4/5
Step-by-step explanation:
First you got to do keep change flip so 3/5 will stay the same the division will turn into a multiplication sign and instead of -3/4 it will be 4/-3. So 3 times 4 equals 12 and 5 times -3 equals -15 the answer will be 12/-15 but when you simplify it ipyou will get -4/5
If y varies directly with x and y = 28 when x = 4, what is y when x = 3?
Answer:
y=21
Step-by-step explanation:
Since x and y vary directly, they will be proportionate to each other. In this case, y is 7 times larger than x. We know this because 28/4=7. So, the equation that describes their relationship is y=7x. This means that to find y plugin x. Therefore, y=21 because y=7(3).
What type of transformation does the image below depict?
two triangles on a cartesian plane with an arrow in between
translation
dilation
rotation
reflection
Answer:
Rotation
Step-by-step explanation:
follow v.sauce.memes on ig
Please help and thank you
Answer:
D is the answer
Step-by-step explanation:
The explenation is shown on the picture above.
Look at the two right rectangular prisms.
1 ft
Ift
1 ft
2 ft
2.5 ft
What is the volume of solid in cube feet
Answer:
I cannot tell you the answer because there isn't adequate information.
But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)
9.
Find the slope of the line.
A. -1/4
B. 4
C. 1/4
D. -4
Answer:
9. A. -1/4
Step-by-step explanation:
Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.
If this has helped you please mark as brainliest
Answer:
A. -1/4
Step-by-step explanation:
: £50 is worth €56
How many euros is £1 worth?
Answer:
Let's make this a ratio:
50:56
Divide by 50 on both sides (since they made it a unit rate).
1:1.12
1.12 is your answer.
There are 60 teachers in the school. 40 of them are from Ireland. What fraction of teachers are from Ireland?