The rectangle to the right has width 6x5 feet and length 9x8 feet. Find its area as
an expression of x.
Answer:
54x¹³Step-by-step explanation:
area = L x W
where L = 9x⁸
W = 6x⁵
plugin values into the formula:
Area = 9x⁸ * 6x⁵
= 54x¹³
The area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.
To find the area of the rectangle, we can use the formula for the area of a rectangle, which is:
Area = length × width
Given that the width is 6x5 feet and the length is 9x8 feet, the area of the rectangle is:
Area = (9x8) × (6x5)
To simplify the expression, multiply the coefficients and combine the variables:
[tex]Area = 54x^2 * 40x[/tex]
Now, multiply the coefficients:
[tex]Area = 2160x^3[/tex]
So, the area of the rectangle as an expression of x is [tex]2160x^3[/tex] square feet.
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Point C is located at (-4, -6) on the coordinate plane. Point C is reflected over the y-axis to create point C'. What ordered pair describes the location of C''?
Answer:
(4,6)
Step-by-step explanation:
Since its reflected just remove the signs
The reflected coordinate points along the y-axis is C'(4, - 6).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
We know reflection over the y-axis changes (x, y) to (- x, y).
Given, Point C(-4, -6) is reflected over the y-axis.
∴ The reflected coordinate points C'(4, - 6).
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A truck has traveled 75 miles in 1.5 hours of driving. At the same speed, which proportion can be used to determine how long, T (in hours), it would take the truck to travel 325 miles.
Answer: 6.5 hours
Step-by-step explanation:
From the question, we are given the information that a truck has traveled 75 miles in 1.5 hours of driving. The miles pee hour travelled will be:
= 75 / 1.5
= 50 miles per hour
The number of hours that the truck will use to travel 325 miles will be:
= 325/50
= 6.5 hours
pls help this is for math class
Answer:
40
Step-by-step explanation:
i am not very good at explaining things but i am very good at math but i do hope this helps
Which is NOT a key feature of LaTeX: f\left(x\right)=\left(\frac{1}{4}\right)^x
please answer i will give brainliest
Answer:
B
Step-by-step explanation:
The rate at Randy's store is 1 gallon of gas for $3
The rate at Sarah's store is 1 gallon of gas for $2.80
So, Randy's store is more expensive.
Help pls. Thank you
Answer:
[tex]\frac{1}{3}[/tex] feet
Step-by-step explanation:
The area of a rectangle is represented by the formula [tex]A = l[/tex] ×[tex]w[/tex], in which [tex]A[/tex] is the area, [tex]l[/tex] is the length, and [tex]w[/tex] is width.
Let's put in what we already know into the formula. We know that the area is [tex]\frac{5}{18}[/tex], so let's substitute that for [tex]A[/tex]. We know that the length is [tex]\frac{5}{6}[/tex], so let's substitute that for [tex]l[/tex]. This gives an equation that looks like this:
[tex]\frac{5}{18} = \frac{5}{6}[/tex] × [tex]w[/tex]
To find the width, all we need to do know is isolate [tex]w[/tex]:
[tex]w = \frac{5}{18}[/tex] × [tex]\frac{6}{5}[/tex]
[tex]w = \frac{30}{90}[/tex]
[tex]w = \frac{1}{3}[/tex]
Thus, the width is [tex]\frac{1}{3}[/tex].
Find the product. Please
Find the slope each line.
5)
Answer:
y=-3/4x + 2
Step-by-step explanation:
Since you already picked up the 2 points in the line, all we have to do is count the number of squares for the rise/run
To get the rise, you go down the first point by -3 (since you are moving down its negative 3) then for the run, you go right by 4 (Since you are moving right you get positive 4)
rise = -3
run = +4
y=mx+b
y = -3/4x + b
Now to find the y intercept, which is "b" in the equation above, you just look at the graph and find out where the y intercept is, in this case, I'd say its about 2.
y = -3/4x + 2
A satellite flies 122070miles in 15.65hours. How many miles has it flown in 18.02 hours?
Answer:
answer
Step-by-step explanation:
y = 2x - 1
y=-3x + 4
Solve the following system of equations for x
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = 2x - 1
y = -3x + 4
Step 2: Solve for x
Substitution
Substitute in y: 2x - 1 = -3x + 4Add 3x on both sides: 5x - 1 = 4Add 1 to both sides: 5x = 5Divide 5 on both sides: x = 1Answer:
[tex]y = 2x - 1 \: and \: y = - 3x + 4 \\replacing \: the \: value \: of \: y, \: we \: get \\ 2x - 1 = - 3x + 4 \\ 5x = 5 \\ \boxed{x = 1}[/tex]
x= 1 is the right answer.After withdrawing $58, Mark
had $200 dollars left in his
savings account. How much
money was in the account
before the withdrawal?
Helllp,??????????????
You are dealt two cards successively without replacement from a standard deck of 52 playing cards. Find the probability that the first is a diamond and the second card is a five.
Answer:
1/52
Step-by-step explanation:
52/4=13 theirs only 4 5s in a deck of cards so 13*4 is 52
Its substitution, and rearrangement you have to find x
y = 3x + 7 5x - 2y = -10
Answer:
Step-by-step explanation: I dont know actually
Nicholas sprints the length of a football field. If a football field measures 100 yards and 1 yard is approximately 0.914 meter, how far, in meters, did Nicholas sprint?
Answer:
91.4 meters
Step-by-step explanation:
From the question:
1 yard = 0.914 meter
100 yards = x meters
x meter = 100 × 0.914 meters
x = 91.4 meters
Therefore, Nicholas sprinted 91.4 meters
Answer: 91.4
Step-by-step explanation: PLEASE GIVE BRAINLIEST
Calculate the total to be repaid on a loan of $4600.00 for 18 months at a
rate of 5%.
Answer:
$4945
Step-by-step explanation:
the interest on the loan can be found by using this formula:
I = P · r · t P = principal, r = interest rate, t= time (in years)
I = 4600(.05)(1.5)
I = 345
Total Amount = Principal plus Interest
Total Amount = 4600 + 345 = $4945
hurry please i’m taking a test!!!
Step-by-step explanation:
Since triangles ABC and DEF are congruent,
Angle D = Angle A.
=> (2y - 5)° = 65°, 2y - 5 = 65, y = 35.
Also side EF = side BC.
=> 2x + y = 90.6, 2x = 90.6 - (35) = 55.6, x = 27.8.
Answer: Y = 35, X = 27.8
Step-by-step explanation:
First you need to find Y. So, you do 2y - 5 = 65. First you add 5 to both sides, this will give you 2y = 70. Then divide both sides by 2 to get y = 35. Then in order to find x we do 2x + y = 90.6. First we change Y to the 35, as that is what y equals, then subtract both sides by 35 to get 2x = 55.6. Then you divide both sides by 2 to get x = 27.8.
x+5y=5
2x-y=-4
Which of the following graphs in the xy-plane could be used to solve the system of equations above?
2. On Saturday morning the temperature outside was 4 degrees Fahrenheit. By noon, the temperature had risen 12 degrees, and then at 9 P.M., it dropped 17 degrees. Write an expression that this situation describes. What was the temperature at 9 P.M.? Explain how you could use the vertical number line as a tool to solve the problem.
Answer:
it is 16 degrees outside then take away the 17 from the 16 and the answer is 1 degree
HERE IS THE TEXT THERE IS MORE THO
Answer:
What exactly is this for?A 2-D shape has a length of 8cm and a width of 3cm. Find the perimeter and the area.
With steps please.
Answer:
Area formula: l x w
= 8 x 3
24 cm^2
Perimeter formula: Sum of all sides
= 8+8+3+3
= 25 cm
Answer: 24cm
Step-by-step explanation:
8 multiplied by 3
Write the equation of the perpendicular bisector of the segment formed by:
(-4, 3) and (8, -3)
Answer:
The equation of perpendicular bisector is:
[tex]y = 2x-2[/tex]
Step-by-step explanation:
Given the points
(-4, 3)(8, -3)First, we need to find the midpoint of the points (-4, 3) and (8, -3)
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]
[tex]=\left(\frac{8-4}{2},\:\frac{-3+3}{2}\right)[/tex]
[tex]=\left(2,\:0\right)[/tex]
Thus, the midpoint of the points is: (2, 0)
Now, finding the slope between (-4, 3) and (8, -3)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]
[tex]m=-\frac{1}{2}[/tex]
Therefore, the slope m = -1/2
The slope of the line perpendicular to the segment = [-1] / [-1/2] = 2
Using the point-slope form of the equation of the line, the equation of perpendicular bisector is:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line
substituting the slope 2 and the point (2, 0)
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y - 0 = 2 (x-2)[/tex]
[tex]y = 2x-2[/tex]
Therefore, the equation of perpendicular bisector is:
[tex]y = 2x-2[/tex]
When you buy multiple stocks, you have to multiply your gains and losses by how many stocks you own. For example, if you own two stocks of Netflix, and the stock increases in value by $10, you have gained $20 (To calculate this you do $10 x 2).
Suppose you own 5 stocks of Netflix. If the value of Netflix stock increases by $30 after you buy it... how much money have you made?
is the number -284.2 rational or irrational?
Answer: -284.2 is a rational number
Carla rolls an unbiased 8 sided dice 100 times. Estimate the number of times she will roll a prime number.
Answer:
the numbers on an 8-sided die are 1, 2, 3, 4, 5, 6, 7, and 8
2, 3, 5, and 7 are prime numbers
half the numbers are prime
you should roll a prime number half of the time (theoretically)
if you roll the die 100 times, you (theoretically) should get a prime number 50 times, which is half of the time
7/8y-6=8
solve for y
Answer:
y=55/64
Step-by-step explanation:7
8y−6
=8
Step 1: Multiply both sides by 8y-6.
7=64y−48
64y−48=7(Flip the equation)
64y−48+48=7+48(Add 48 to both sides)
64y=55
64y
64
=
55
64
(Divide both sides by 64)
y=
55
64
Check answers. (Plug them in to make sure they work.)
y=
55
64
(Works in original equation)
Answer:
y=
55
64
write the number 100 as a product of it's prime factor in the same way write the factors in order from smallest to largest
Answer:
Thx for my points back
Step-by-step explanation:
Answer:
Thx
Step-by-step explanation:
for free points.....
6x+3 what is the value of x?
Answer:
3
Step-by-step explanation:
6x+3
6+6+6=18
or 6 divided by 2 which is 3
what is negative 5 plus 6
Answer:
negative 5 plus positive (normal) 6 is 1
the answer is 1
Step-by-step explanation:
6 is a positive number, it makes things higher.
5 is a negative number, it makes things lower
this is also the same as 6 - 5, which if you had higher numbers could be a negative number depending on which is bigger. since 6 is bigger in this case, the answer is positive. if it was negative 7 plus 6, the answer would be -1 or negative one. if it was negative six plus positive six, the answer would be zero since they cancel each other out.