Step-by-step explanation:
Since 64 = 32 * 2 and 32 = 32 * 1,
64 + 32 = 32(2 + 1).
16(4 + 2) is wrong as 4 and 2 have a GCF of 2.
8(8 + 4) is wrong as 8 and 4 have a GCF of 4.
32(2) + 1 is the wrong application of the distributive property.
Answer:
64+32=32(2+1) is greatest common factor
Helllp,??????????????
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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PLEASE HELP
A circular garden will have grass planted around a triangular region of flowers as shown in the diagram below. How many square feet will be covered in grass? Round to the nearest square foot.
1,858 ft 2
9,888 ft 2
1,291 ft 2
1,966 ft 2
Answer:
Option (4)
Step-by-step explanation:
From the picture attached,
ΔABC is a right triangle.
Since, inscribed angle in a semicircle is always a right angle, Hypotenuse AC will be the diameter of the circle.
Length of diameter AC = 58 ft
Radius of the circle = [tex]\frac{58}{2}=29[/tex] ft
Area of the circular garden = πr² [r = radius of the circle]
= π(29)²
= 2642.08 ft²
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(27)(50)[/tex]
= 675 ft²
Area of the of the region covered with grass = Area of the circular garden - Area of the right triangle
= 2642.08 - 675
= 1967.08 ft²
≈ 1966 [Nearest value]
Option (4) will be the answer.
Tiffany's allowance is reduced $1.25 every time she forgets to clean her room. If she forgets to clean her room 7 times this month, by how much money is Tiffany's allowance reduced? A. $7.25 B. $8.75 C. $17.85 D. $18.75
Answer:
$8.75
Step-by-step explanation:
Tiffany allowance is reduced by $1.25 each time she forgets to clean her room
If she forgets to clean her room 7 times this month
Then her allowance is reduced by
= 1.25 × 7
= 8.75
Hence Tifanny allowance is reduced by $8.75
Answer:
Hence Tifanny allowance is reduced by $8.75
Another fun game to do... copy and paste this on your page so others will have fun doing it too! Don’t leave anything out!
1. Think of a number
2. Double it
3.add 10
4. Half it
5. Take away the number you started with
6. Your answer is 5 Right?
Step-by-step explanation:
it worksss lolll
10
10×2
20+10
30÷2
15-10
yeahhh 5
great lolll
have a great day :)
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.Which number line shows the solution of 5x- 25 <-15
Answer:
I would say C is correct.
Step-by-step explanation:
Hope this helps you and have a wonderful day:)
Julie made 40 chocolate
cupcakes and 32 vanilla
cupcakes. What is the
ratio of chocolate to
vanilla cupcakes in
simplest form? HELP ASAP
Answer:
5 to 4
Step-by-step explanation:
when it's asking for a ratio it's basically division
chocolate/vanilla = 40/32 = 5/4
5/4 is the same as 5:4 or 5 to 4
Triangle ABC has vertices at A(1, 2), B(4,6), and C(4,2) in the coordinate
plane. The triangle will be reflected over the x-axis and then rotated 180°
about the origin to form a A'B'C'. What are the vertices of A'B'C'?
A. A'(1, -2), B'(4, -6), C'(4,-2)
B. A'(-1, -2), B'(-4,-6), C'(-4,-2)
C. A'(-1,2), B'(-4, 6), C'(-4,2)
D. A'(1, 2), B'(4, 6), C'(4,2)
Answer:
c
Step-by-step explanation:
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
Bo feeds his dog twice a day. In the morning, he feeds the dog 1/3 kg of dog food. In the evening, he feeds the dog 2/10 kg of food. Select the true statement about the amount of food Bo feeds his dog.
Answer:
8/15 kg of food daily
Step-by-step explanation:
Bo feeds his dog twice a day. In the morning, he feeds the dog 1/3 kg of dog food. In the evening, he feeds the dog 2/10 kg of food.
The total kilograms of food that Bo feed his dog is calculated as:
Number of kilograms fed in the morning + Number of kilograms fed in evening
= 1/3 kg + 2/10kg
The Lowest Common Denominator = 30
= 10 + 6/30
= 16/30
= 8/15 kg
Therefore, Bo feeds his dog 8/15kg of food daily.
Answer:
Both fractions are less than 1/2
1/2 kg
Step-by-step explanation:
If you could help I would really appreciate it, but if not that’s fine. Thank you.
Help me please :( !!
Answer:
Step-by-step explanation:
Table
Time 3 6 9 12
Rainfall 2 4 6 8
Time is on the x axis
Rainfall is on the y axis
Slope = (y2 - y1)/(x2 - x1)
Slope = (8 - 2) /(12 - 3)
Slope = 6/9 = 2/3
Unit rainfall = 2 cm rainfall / 3 hours = 0.667 cm rainfall / hour.
After withdrawing $58, Mark
had $200 dollars left in his
savings account. How much
money was in the account
before the withdrawal?
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.....
The round off value of 10256/32548 up
to three decimal places
Is
Answer:
0.315
Step-by-step explanation:
10256/32548 is about 0.3151 (I used calculator)
0.3151 rounded to thousandth place is 0.315
Remember the rule when round, 5 and above, up, below 5, stay the same.
The number after 5 in 0.3151 is 1 and 1 is less than 5, so the 5 stays the same.
Hope I was able to help! Good Luck!
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?
Mammoth Cave in Kentucky has a depth of −124.1 meters. Suppose a hiker traveled to the bottom of the cave. How many meters did the hiker descend? __ m
Answer:
124.1 m
Step-by-step explanation:
Given that:
Depth of mammoth cave = - 124.1 meters
To travel to the bottom of the cave, hence, the hiker is at the maximum depth.
Since the depth of the cave is - 124.1 m and the hiker has traveled down tonthe bottom and hence covered the total depth. Then thebhiker must have descended by the same value corresponding to the depthnifnthe cave = 124.1 meters
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
is the number -284.2 rational or irrational?
Answer: -284.2 is a rational number
Can a line be drawn in the plane that is not a function?
Ο Νο
O Yes
Answer:if you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.
Step-by-step explanation:So it is a no ok.
y = 2x
-6x + 3y = 16
Solve please
Answer:
(x,y) = ∅
Step-by-step explanation:
-6x+3(2x)=16
this equation equals to zero
therefore there are no solutions
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
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]
What is the rate of change of the linear equation 3.9x + y = 15.21?
A. -15.21
B. -3.9
C. 3.9
D.15.21
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
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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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.
Help me please...........:)
Answer:
4/3
Step-by-step explanation:
IF YOU DO ALL THREE AND U ANSWER THEM CORRECTLY ILL GIVE YOU 50+ POINTS
❤️
Answer:
30 on the first one 5x6=30, the 2nd one is 5 and the 3 one is 10 chickens
Answer:
1. Zack has 6 times more seeds than Ben, if Ben has 5 seeds, just multiply how many seeds Ben has by 6, which means Zack planted 30 seeds (This can be written Z=B*6, where Z is how many seeds Zack has, and B is how many seeds Ben has)
2. If there are a total of 40 cards divided into 8 groups of students, that means that each group got 5 card (40 ÷ 8 = 5)
3. If each chicken has 2 wings, and she has a total of 20 wings, that means that she bought a total of 10 chickens (20 ÷ 2 = 10)