Answer:
[tex]\huge\boxed{\sf 5y^2 -4}[/tex]
Step-by-step explanation:
[tex]\sf (7y^2 + 3xy -9) - (2y^2+3xy-5)\\\\Resolving \ Parenthesis\\\\7y^2 + 3xy-9 -2y^2 -2xy+5\\\\Combining \ like \ terms\\\\7y^2-2y^2+3xy-3xy-9+5\\\\Adding \ or \ Subtracting\\\\\boxed{\bold{\sf 5y^2-4}}[/tex]
Evaluate this question (2/5^3)
Answer:
The answer will be 18/125 and the decimal form is 0.064Step-by-step explanation:
Kyle is installing new baseboards and carpet in his rectangular living room. He measured the length as 24.25 feet and the width as 16.4 feet. Select Yes or No for each statement.
Answer:
answer is yes,yes, no
Step-by-step explanation:
The area of the rectangular carpet is equivalent to 397.7 ft².
What is the area of rectangle? What is equation modelling? What is a mathematical equation and expression?The area of a rectangle is equivalent to -
Area = Length x Breadth
[A] = [L] x [B]
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that the length of the carpet is 24.25 feet and the width is 16.4 feet.
The area of the rectangle is equivalent to -
A = L x B
A = 24.25 x 16.4
A = 397.7 ft²
Therefore, the area of the rectangular carpet is equivalent to 397.7 ft².
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Did you know that chickens sometimes eat vegetables and fruits? A farmer likes to give the chickens apples to share. The farmer observes that 3 chickens eat 5 apples. What is the ratio of the number of chickens to apples? 5:2 5:3 2:5 3:5
Answer:
3:5
Step-by-step explanation:
Answer:
its 3:5
Step-by-step explanation:
Find two numbers with a sum of 65. Twice the smaller number is 10 more than the larger number.
Answer:
Step-by-step explanation:
Let x be the smaller number. What is the larger number if we know that sum of the two numbers is
ur answer ? ur answer
soolve the abslut value of |2x-1|=3
Answer: x = 2 or x = -1
Step-by-step explanation: When you are solving an absolute value equation, you can split the problem up into two separate equations.
The first equation will look just like the original problem,
except for the absolute value signs (2x - 1 = 3).
The second equation will look just like the first,
but the right side will be changed to a negative (2x - 1 = -3).
Now solve each equation from here to get x = 2 or x = -1
Find the value of x.
A pair of intersecting lines is shown. The angle above the point of intersection is labeled left parenthesis 7 x minus 8 right parenthesis degrees. The angle directly opposite below the point of intersection is labeled left parenthesis 6 x plus 11 right parenthesis degrees.
A. –19
B. 125
C. 19
D. 55
The value of x is 19. Therefore, option C is the correct answer.
From the given figure, the two angles are (7x-8)° and (6x+11)°.
What is the vertical angle theorem?Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other.
Now, (7x-8)° = (6x+11)° (Vertically opposite angles are equal)
⇒ 7x-6x = 11+8
⇒ x = 19°
The value of x is 19. Therefore, option C is the correct answer.
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The graph of y = –0.2x2 is the graph of y = x2.
Answer:
the answer is correct, "D"
Step-by-step explanation:
(wider than and opens in the opposite direction of) just took the test, made a 90%
y = -0.2*x^2 is a vertical dilation of scale factor 0.2 followed by a reflection over the x-axis of y = x^2
How to relate these two graphs?
We have two functions:
f(x) = x^2
g(x) = -0.2*x^2
The transformations used are:
Reflection over the x-axis.
For a function f(x), a reflection over the x-axis is written as:
g(x) = -f(x).
Vertical dilation.
For a function f(x), a vertical dilation of scale factor k is written as:
g(x) = k*f(x).
So here we can see that we have a vertical dilation of scale factor 0.2, followed by a reflection over the x-axis.
g(x) = -0.2*f(x).
So, g(x) opens in the opposite direction than f(x), and grows slower (because of the dilation).
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Help ASAP !!!!!!!!!!!!!!!!!!!
Answer:
im lik 999999999
percent sure its 2
Step-by-step explanation:
Answer:
divide r by s and multiply by 3 :3 :8 xD
Step-by-step explanation:
Nela is filling her circular backyard swimming pool. The radius of the pool is 5 feet and the height is 6 feet. Which shows the correct substitution of these values into the formula for the volume of a cylinder?
Answer:
V=[tex]\pi[/tex]5^2*6
Step-by-step explanation:
If this makes it a little easier to read:
V = [tex]\pi[/tex] * 5^2 * 6
This is the answer when you solve it btw:
471.24
Also, who buys a swimming pool in the shape of a cylinder?
The volume of the cylinder is 471 square feet.
Given,
Nela is filling her circular backyard swimming pool.
The radius of the pool is 5 feet and the height is 6 feet.
We need to find the volume of the cylinder.
What is the volume of a cylinder?It is given by:
V = [tex]\pi[/tex] r² h.
Find the volume of the cylinder
V = [tex]\pi[/tex] r² h
We have,
h = 6 feet and r = 5 feet
V = 3.14 x 5² x 6
V = 3.14 x 25 x 6
V = 471 square feet.
Thus the volume of the cylinder is 471 square feet.
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The figure shows two triangles on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 4, 1 vertex B on ordered pair negative 3,1, and vertex C on ordered pair negative 4, 4. Another triangle A prime B prime C prime is shown with vertex A prime on ordered pair 4, 4, vertex B prime on ordered pair 3, 4, and vertex C prime on ordered pair 4,1. What set of transformations is performed on triangle ABC to form triangle A′B′C′? (5 points) A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units down A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right A translation 5 units to the right, followed by a 270-degree counterclockwise rotation about the origin
Answer:
A translation 5 units down followed by a 180-degree counterclockwise rotation about the origin
Step-by-step explanation:
The figure is obviously rotated 180°. If the rotation is first, the image would be in the 4th quadrant, where it would stay after translation downward.
If the translation is downward first, it would be in the 3rd quadrant, moving to the first quadrant after rotation by 180°. This is the apparent sequence of transformations:
translation down 5, rotation 180°
Answer:
translation down 5, rotation 180°
Step-by-step explanation:
A rectangular prism has a volume of 170 cubic centimeters. The length of the prism is 5 centimeters, and the height of the prism is 17 centimeters. What is the width of the prism. Enter the answer in the box .
Answer:
The width of the prism is 2 cm
Step-by-step explanation:
The given parameters are;
The volume of the prism = 170 cm³
The length of the prism = 5 cm
The height of the prism = 17 cm
The volume of the prism is given by the relationship v = Length, l × Height, h × Width, w
Therefore;
The volume of the prism = 5 cm × 17 cm × w = 170 cm³
Which gives;
w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm
∴ The width of the prism = 2 cm.
The width of the prism is 2cm given length of the prism is 5 centimeters, and the height of the prism is 17 centimeter.
The formula for calculating the volume of a rectangular prism is expressed as:
V = LWH where:
L is the lengthW is the widthH is the heightGiven the following:
V = 170cm³
L = 5cm
H = 17cm
Required
Width
Substitute the given values into the formula:
170 = 5 * 17 * W
170 = 85W
W = 170/85
W = 2cm
Hence the width of the prism is 2cm
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Solve the following equation for X... -3x + 12 = 24
Answer:
the answer is -4
Step-by-step explanation:
-3x+12=24
-12 -12
-----------------
-3x=12
12 divided by-3= -4
x= -4
Answer:
x=-4
Step-by-step explanation:
move the constant
-3x=24-12
-3x=12
divide both side by -3
ANSWER=-4
Alan's go kart travels 1750 feet per minute and Barry's go kart travels 21 miles per hour whose go kart travels faster round your answer to the nearest tenth
Answer:
Barry's kart is faster as he goes 21 Mph while Alan only goes 19.89 Mph.
Step-by-step explanation:
First to get this answer we need to convert feet per minute to miles per hour. So we multiple 1750 feet per minute by 60 to get a hour. This gets up 105000 total feet in a hour. Now we need to divide this by 5280, which is how long a mile is, to get 19.89 miles which is how many miles he travels in a hour making him travel 19.89 mph which is less than 21 making Barry faster.
How could you prove that a number is divisible by 16? Use the space below to test your hypothesis using the numbers 144 & 256. Explain your new rule.
Answer:
We factor the number 16 into prime numbers to get their factors.
We do the same with any given number. Only if it has the same factor as 16 that numberwill be divisible by 16
Both numbers proposed (144&256) are divisible by 16
Step-by-step explanation:
To prove it we need to factor the number 16 to get their expression in prime numbers:
16 2
8 2
4 2
2 2
1
16 is equal to [tex]2^{4}[/tex]
We have to factor a number and if their factor include [tex]2^{4}[/tex] or a higher power
then, they are divisible by 16
144 2
72 2
36 2
18 2
9 3
3 3
1
144 is queal to: [tex]2^4 . 3^2[/tex] as it does have [tex]2^4[/tex] It is divisible by 16
256 2
128 2
64 2
32 2
16 2
8 2
4 2
2 2
1
256 is equal to [tex]2^8[/tex] This contains [tex]2^4[/tex] as [tex]2^8 = 2^4 . 2^4[/tex]
therefore it is divisible by 16
What is the simplified form of 3a^2+6a+2b^2.
It would be greatly appreciated if anyone could solve this
Answer:
3 a (a + 2) + 2 b^2 or a (3 a + 6) + 2 b^2 or 3 (a + 1)^2 + 2 b^2 - 3
Step-by-step explanation:
5x
2x
7x
4x
Equation
X=
Answer:
look this for the solution
list the numbers in order from greatest to least -1. 7, -15, -7, 2, 1
there were 8 lunchboxes on the first table.there were 6 lunchboxes on the second table. how many more lunchboxes were on the first table then on the second table?
Answer:
2 lunchboxes more.
Step-by-step explanation:
Its 2 lunchboxes more as the question asked how many MORE lunchboxes the first table has then the second table so its bassically 8 - 6 = 2
5. Which of the following describe the transformation rule (x, y) – (x + 1, - 2)
Move left two, down one
Move right one, down two
Move right two, down one
Move left two, up one
Answer:
shift to the right 1 unit, shift down 2 units
Step-by-step explanation:
because x+1 which mean shift to the right 1 unit as +1 is positive
down 2 because y is -2 as well as shift down 2 units
Which of the folloving statements is the most precise and corred to define perpendicular lines?
Answer:C
Step-by-step explanation:
quadrilateral A can be rotated into position of quadrilateral B. Estimate the angle of rotation
Answer:
The angle of rotation is 120°
Step-by-step explanation:
The given quadrilateral A can be taken as being upright form, however, by measurement, using a protractor application, the base of the quadrilateral is inclined at an angle of 13° to the horizontal, the positive direction of the x-axis, before rotation while the base of the B which is the image of A after rotation, is found to be at angle of 133° to the positive direction of the horizontal x-axis
Therefore, the angle of rotation = 133° - 13° = 120°
2 ABC Company has a large piece of equipment
that cost $85,600 when it was first purchased 6
years ago. The current value of the equipment is
$30,400. What is the average depreciation of the
equipment per year?
F. $ 5,800
G. $ 9,200
H. $15,200
J. $27,600
K. $42,800
Answer:5,800
Step-by-step explanation:
The average depreciation of the equipment per year is $9200.
What is depreciation?The monetary value of an asset decreases over time due to use, wear and tear or obsolescence, this is called as depreciation.
Now it is given that,
Cost of the equipment = $85,600
current value of the equipment is given as $30,400
Duration for which the equipment was used = 6 years
Now the depreciation of the equipment is given as,
Total depreciation in the price of the equipment
= Cost of the equipment - current price of the equipment
So, total depreciation = $85,600 - $30,400 = $55,200
Now,
Average yearly depreciation = Total depreciation ÷ Years used
Average depreciation = 55,200/6
⇒Average depreciation = $9200
Therefore, average depreciation of the equipment per year is $9200.
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Please help and show work! Simplify each expression!
-7y - (-12y) =
15xy- (-6xy) =
-53va - 32va
Answer the expressions and show work please!
64 / 0.8 -5.6 / 7 =
Use the distributive property to simplify the expression. Show work!
-(x -3) + 6 =
Use order of operations to evaluate the expression.
Show work please!
6 + 3 (9) =
Evaluate the expressions if x = 10, y = 5, and z = 1.
x/y =
xy + z
5 (z - x)
Please answer all of these questions correctly and show work! I really need this! I'm putting 50 points and I'll choose brainliest!
Answer:
See below
Step-by-step explanation:
-7y - (-12y) = -7y + 12y = (-7+12)y = 5y 15xy- (-6xy) = 15xy + 6xy = (15+6)xy = 21xy-53va - 32va = (-53 -32)va = - 85va64 / 0.8 - 5.6 / 7 = 640/8 - 56/7×1/10 = 80 - 8/10 = 80 - 0.8 = 79.2-(x -3) + 6 = -x + 3 + 6 = -x + 96 + 3 (9) = 6 + 27 = 33Evaluate the expressions if x = 10, y = 5, and z = 1.
x/y = 10/5 = 2xy + z = 10×5 + 1 = 50 + 1 = 515 (z - x) = 5×(1 - 10) = 5×(-9) = -45Answer:
see below
Step-by-step explanation:
⇒ -7y - (-12y) = -7y + 12y = 5y
⇒ 15xy - (-6xy) = 15xy + 6xy = 21xy
⇒ -53va - 32va = - 85av
⇒ 64 / 0.8 -5.6 / 7
= 448 - 7.48
5*6
= 79.2
⇒ -(x -3) + 6
= -x + 3 + 6
= -x + 9
⇒ 6 + 3 (9)
= 6 + 27
= 33
Evaluate the expressions if x = 10, y = 5, and z = 1.
⇒ x/y = 10 / 5 = 2
⇒ xy + z = 10*5 + 1 = 51
⇒ 5 (z - x) = 5(1 - 10) = 5 - 50 = 45
Is due today Help!!! Algebra ll
[tex]-7x-9y=-8[/tex]
[tex]5x+6y=4[/tex]
[tex]-35x-45y=-40[/tex]
[tex]35x+42y=28[/tex]
[tex]-3y=-12[/tex]
[tex]y=4[/tex]
[tex]5x+6(4)=4[/tex]
[tex]5x+24=4[/tex]
[tex]5x=-20[/tex]
[tex]x=-4[/tex]
[tex](-4,4)[/tex]
Hope this helps.
頑張って!
A girl is twice as old as her sister. Five years hence, the product of their ages (in years) will be 375. Find their present ages. A girl is twice as old as her sister. Five years hence, the product of their ages (in years) will be 375. Find their present ages.
Answer: girls=20, sister=10
Step-by-step explanation:
Let x = the girl's sister's age (present)
Let 2x= the girl's age (present)
-------------------------------------------------------------
According to the question
(x+5)(2x+5)=375
Expand parentheses by FOIL (First Outer Inner Last)
2x²+5x+10x+25=375
Combine like term (5x and 10x)
2x²+15x+25=375
Subtract 375 on both sides
2x²+15x+25-375=375-375
2x²+15x-350=0
Find the factors (cross factor)
(x-10)(x+17.5)=0
x=10 or x=-17.5 (rej) ⇔ the age can't be negative
the girl's age is 20, and her sister's age is 10.
Khairul is x years old .Khairul`s uncle is 4 times as old as khairul will be in 5 years .Find the present age of Kharuls`s uncle. Plz some one answer this question will be very thankfull
Answer:
4x + 15
Step-by-step explanation:
Let the age of Khairul's uncle y.
From the question given above, the following were obtained:
Khairul's age = x years
In 5 years time:
Khairul's age = x + 5
Khairul's uncle age = y + 5
But from the question given above,
Khairul`s uncle will be 4 times as old as what khairul will be in 5 years. This can be written as follow:
y + 5 = 4(x + 5)
Clear bracket
y + 5 = 4x + 20
Subtract 5 from both side
y + 5 – 5 = 4x + 20 – 5
y = 4x + 15
Therefore, Khairul's uncle present age is 4x + 15
Answer:
y= 4x+15Step-by-step explanation:
This problem tests our ability to express word problem using equation
Given data
Khairul age = x years
let the uncle's age be y
in five years time, Khairul will be = x+5
in five years time, the uncle will be = y+5
hence Khairul uncle's age is
y= 4(x+5)
y=4(x+5)
y=4x+20
hence the uncles current age is
y+5=4x+20
y= 4x+20-5
y= 4x+15
20. Rolando drives at least 40 miles but less than 60 miles each week.
Part A. Write and then graph the compound inequality representing all of the possible distances Rolando could
drive for 8 weeks. (7 points)
Answer:
Step-by-step explanation:
60 miles
Help me do the ones marked in red.
Answer:
2. "two thirds of the fourth power of r"
4. n + 14
6. 7 +11n
8. (2/5)n^2
__
7. 28
8. 1/5
Step-by-step explanation:
2. "two thirds of the fourth power of r"
__
4. "sum" means the listed items are added. You can use any convenient variable to represent "a number." I often use n for number.
n + 14
__
6. "7 more than" means 7 is added to whatever follows. "11 times a number" means the number is multiplied by 11.
7 + 11n
__
8. "of" means "times". The square of a number is that number to the power of 2.
(2/5)n^2
__
7 & 8 (evaluation). Your calculator can do this. (If not, get one that can.) Note that parentheses are needed around numerators and denominators and anything else that must be treated as a single value.
Find the area and perimeter of the figure below.
Answer:
Area: 6x+6
Perimiter: 4x+10
Step-by-step explanation: to find the area of something multiply the width times the height. to find the perimeter of something add each side together. use the order of operations (PEMDAS).
Area=3(2x+2)
Area=6x+6
Perimeter=3+3+(2x+2)+(2x+2)
Perimeter=6+4x+4
Perimeter=4x+10
Answer:
Area=length*width
A=3(2x+2)=6x+6 unit squar
Perimeter = 2l+2w
P=2(3)+2(2x+2)
P=6+4x+4
P=10+4x
I have a math question g=mB-2qB and I have to solve for B
Answer:
[tex]B = \frac{g}{m-2g}[/tex]
Step-by-step explanation:
Given
[tex]g = mB - 2qB[/tex]
Required
Solve for B
[tex]g = mB - 2qB[/tex]
Factorize the expression
[tex]g = B(m - 2q)[/tex]
Divide both sides by m - 2g
[tex]\frac{g}{m-2g} = \frac{B(m - 2q)}{m-2g}[/tex]
[tex]\frac{g}{m-2g} = B[/tex]
Reorder
[tex]B = \frac{g}{m-2g}[/tex]