3(y-9)
Step by step explanation:3y-27
Factorizing
3(y-9)
please help Write each number as a percent. 1/200
The percent of the number is 0.5% when the number is 1/200.
Given that,
We have to find the percent of the number 1/200.
A percentage is a number or ratio that, in mathematics, represents a portion of one hundred. It's frequently represented by the symbol "%" or just "percent" or "pct."
Take the number.
1/200
Multiply by 100
1/200×100
We get
1/2
In decimal we get
0.5%
Or
Convert the number to decimal.
1/200= 0.005
Multiply 0.005 by 100 to convert to a percentage.
0.005×100
Simplify
0.5%
Therefore, The percent of the number is 0.5% when the number is 1/200.
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Are the following rectangles similar? Show your work pls (yk how teachers are)
No the two rectangles are not similar as the ratios of the sides are not equal.
Two rectangles are said to be similar if the ratio of the sides of the rectangles are equal.
Now let us consider the given rectangles:
In rectangle ABCD:
AB = 18
AD = 36
In rectangle WXYZ :
WX = 25
XY = 45
Now the ratio of the sides of the rectangle are:
AB/AD = 18 / 36 = 1 / 2
WX/XY = 25 / 45 = 5 / 9
Thus we can see that AB : AD ≠ WX : XY
Hence the rectangles are not similar.
If the ratios of the adjacent sides of two rectangles are equal, then they are similar. A rectangle is a quadrilateral in the Euclidean plane because it has four right angles.
Other definitions include a parallelogram with a right angle or a quadrilateral that is equiangular, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
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Helppppp super confused !
The expression that is equivalent is 6(y + 1) and 6y + 6.
The expression that are not equivalent are 3(x + 3) and 3x + 6 and x(x + 4) and x² + 4.
How to find equivalent expression?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Equivalent algebraic expressions are those expressions which on simplification give the same resulting expression.
Now, let's check if the expression are equivalent by simplifying it.
3(x + 3) and 3x + 6
3x + 9 and 3x + 6
Therefore, the expressions are not equivalent.
6(y + 1) and 6y + 6
6y + 6 and 6y + 6
They are equivalent expression.
x(x + 4) and x² + 4
x² + 4x and x² + 4
They are not equivalent expression.
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K =
√2abc
1 + a²-b(squared)+c² - 5b
If a = 4, b = -2 and c = -1
evaluate K
K=
The perimeter of this triangle is not more than 30 cm. 2n+3 cm, 2n+2 cm, n cm
a. Write an inequality to show this.
b. Solve the inequality.
c. What are the largest possible lengths of the sides?
The inequality to represent the perimeter of the triangle is given by (2n + 3) + (2n + 2) + n ≤ 30
The solution to the inequality is n ≤ 5 The largest possible lengths of the sides is 13 cmInequality to represent the perimeter of a trianglePerimeter of the triangle = not more than 30 cmSide a = (2n + 3)cmSide b = (2n + 2) cmSide c = n cmSide a + side b + side c ≤ perimeter of the triangle
(2n + 3) + (2n + 2) + n ≤ 30
open parenthesis2n + 3 + 2n + 2 + n ≤ 30
5n + 5 ≤ 30
substract 5 from both sides
5n ≤ 30 - 5
5n ≤ 25
divide both sides by 5n ≤ 25/5
n ≤ 5 cm
The largest possible lengths of the sides is:
Side a = (2n + 3)cm
= 2(5) + 3
= 10 + 3
= 13 cm
Side b = (2n + 2) cm
= 2(5) + 2
= 10 + 2
= 12 cm
Side c = n cm
= 5 cm
So therefore, the largest possible length of the triangle is 13 cm
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Please help will mark brainiest!!!
1.) Rowan graphs the function f (x) = 7x + 1 and then transforms the function by horizontally translating it 5 units to the right. What is the newly transformed function, g (x)?
g(x) = 7(x+5) + 1 is the newly transformed function
How to find the newly transformed function, g (x)?
A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input
Given that: He graphs the function f (x) = 7x + 1 and then transforms the function by horizontally translating it 5 units to the right
To solve this problem, we need to understand the direction of movement. In the cartesian plane or graph, the x-axis is either a movement to the left(negative) or right(positive)
Since the function f (x) = 7x + 1 translates by 5 units to the right. You need to add 5 to x i.e. 7(x+5) + 1
Therefore, the newly transformed function, g (x) = 7(x+5) + 1
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Jorge has 20 fish for his dog sled team that he wants to divide into smaller pieces. How many pieces of fish would there be if Jorge divided each fish into tenths?
2,000
200
2
0.2
Answer:
200
Step-by-step explanation:
20*10=200
There is two function equations, f(x)=2x²+3x-4 and h(x)= -x²+8
If the input is f(1)+h(1), how exactly would I solve this
To solve f(1)+h(1) .....
plug in 1 for x in both equations f(x) and h(x):
f(1)=2(1)²+3(1)-4 = 2+3-4 = 1
h(1)= -(1)²+8 = -1+8 = 7
f(1)+h(1) = 1 + 7 = 8
Hope it helps!
PLEASE HELP ME QUICK!!!
Isosceles Trapezoids in Summary
Check ALL of the statements that are ALWAYS true about ISOSCELES TRAPEZOIDS.
(Select all that apply.)
1. SIDES: One pair of opposite sides are parallel.
2. SIDES: One pair of opposite sides are congruent.
3. SIDES: A pair of adjacent sides are congruent.
4. ANGLES: Sum of the angles is 360°.
5. ANGLES: One set of opposite angles are congruent.
6. ANGLES: Consecutive angles are congruent.
7. ANGLES: All four angles are right angles.
8. ANGLES: Consecutive angles are supplementary.
9. DIAGONALS: One of the diagonals bisects the other.
10. DIAGONALS: Diagonals are congruent.
11. DIAGONALS: Diagonals intersect perpendicularly.
12. DIAGONALS: Diagonals bisect a pair of vertex angles of the shape.
The statements that are always true about Isosceles Trapezoids:
One pair of opposite sides are parallel.
One pair of opposite sides are congruent.
The sum of the angles is 360°.
Diagonals are congruent.
Diagonals intersect perpendicularly.
What is an isosceles trapezoids?
A convex quadrilateral having one pair of opposite sides divided by a line of symmetry is known as an isosceles trapezoid. It is a particular instance of a trapezoid. Alternately, it can be described as a trapezoid whose base angles and both legs are identical in size.
The true statements are:
One pair of opposite sides are parallel.
One pair of opposite sides are congruent.
The sum of the angles is 360°.
Diagonals are congruent.
Diagonals intersect perpendicularly.
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Does the point (-2, 7) lie on the graph of y=-2x+1?
yes
no
The point (-2,7) is not lie on the graph of y = -2x +1 .
Given,
In the question:
To check the :
Does the point (-2, 7) lie on the graph of y=-2x+1?
Now, According to the question:
The equation is :
y = -2x + 1
Substitute the values of x = -2 and y = 7 into y = -2x +1
7 = -2(-2) + 1
LHS = 7
RHS = -2(-2) + 1 = 5
Write in the form :
7 = 5
Verify the relationship
False
Determine whether the point is on the line:
(-2, 7) not on the graph.
Hence, The point (-2,7) is not lie on the graph of y = -2x +1 .
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Which value is the best approximation for the range in ages for the oldest 25% of viewers?
4
6
15
20
The best estimation for the range of the oldest 25% is 20, so the correct option is the last one.
Which value approximates the range for the oldest 25%?The graph is separated in four parts, each part represents a 25% of the population.
The oldest 25% would be the last segment (the line in the right of the graph).
The range is defined as the difference between the largest value and the smallest value.
The segment starts at:
a = 35
And ends at:
b = 55
Then the range is something like:
55 - 35 = 20
The correct option is the last one.
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-3+x=7 show me the answer and problem
Answer:
x=10
Step-by-step explanation:
-3+x=7
Add 3 to both sides.
7+3=10
x=10
Answer:
x=10
Step-by-step explanation:
-3+x=7
You have to add 3 to both sides to cancel out the -3
x=10
That leaves you with x=10
1 million divided by 2
500,000
OR
five hundred thousand
I need help with number 7.
With the help of the given trendline equation, the length of the flight will be 3,613.34 miles.
What are equations?A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation. As in 3x + 5 Equals 15, for instance. Equations come in a variety of forms, including linear, quadratic, cubic, and others.So, the length of the flight will be:
The trendline equation is: T = 458 + 0.15DT is the cost which is given as $1000 and D is the distance.Now, calculate for D as follows:
T = 458 + 0.15D1000 = 458 + 0.15D1000 - 458 = 0.15D0.15D = 542D = 542/0.15D = 3,613.33We can write as D = 3,613.34
Therefore, with the help of the given trendline equation, the length of the flight will be 3,613.34 miles.
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TR is the angle bisector angle ATS. The m angle RTS = (17x-5) and m angle ATS= (28x + 8). find X
Applying the definition of angle bisector, the value of x is: x = 3.
What is an Angle Bisector?An angle bisector can be defined as a ray or line that divides an angle into two parts that are congruent or equal to each other in measure.
Since TR is the angle bisector that bisects angle ATS, it implies that angle ATS is divided into equal parts.
Given the following:
Measure of angle RTS = (17x - 5)°
Measure of angle ATS = (28x + 8)°
Therefore:
Measure of angle ATS = 2(measure of angle RTS) [definition of angle bisector]
Substitute
28x + 8 = 2(17x - 5)°
28x + 8 = 34x - 10
Combine like terms
28x - 34x = -8 - 10
-6x = -18
Divide both sides by -6
-6x/-6 = -18/-6
x = 3
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Need help im so confused
please and thank you
Answer: It is b
Step-by-step explanation:
Answer: 126.5
Step-by-step explanation:
This is Pythagoras theorem so a² + b² = c²
c² is always the diagonal bit
The soccer field is rectangle and draw the route of the players on and you get the triangle
a = 120
b = 40
c² = a² + b² (square root after)
120² + 40² = 16000
Then square root that to get 126.5
I hoped this helped so please thank and rate :)
A cylinder used for storing spools of thread has a radius of 2 units and a slant height of √29. What is the height of the cylinder?
PLS HELP ASAP!!(show work if can)
Height of cylinder is 5 units
Define Cylinder
One of the most fundamental curvilinear geometric shapes, a cylinder has historically been a three-dimensional solid. It is regarded as a prism with a circle as its base in basic geometry.The volume of the slanted cylinder is V = Base area of cylinder × Height of cylinder⇒ V = (π × radius²) × h
We have given,
Slant height of cylinder = √29
Radius is = 2 units
Now, we to have to calculate the height for that we have the formula
h = √l² - r²
where, l = slant height
r = radius of the circular base
h = height of the cylinder
Now, for the sake of simplicity
h = √l² - r²
h² = l² - r²
Now, plug in the values
h² = (√29)² - 2²
h² = 29 - 4
h² = 25
h = 5
Hence, the height of cylinder is 5 units
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Show how you would solve the problem.
a^2 (squared) + b^2(squared) = c squared
Using the Pythagorean Theorem and the given values, we can solve for c.
a^2 + b^2 = c^2
12^2 + 16^2 = c^2
144 + 256 = c^2
400 = c^2
√400 = √c^2
c = 20
a man has extra digits (six fingers on each hand and six toes on each foot). his wife and their daughter have a normal number of digits. having extra digits is a dominant trait. the couple's second child has extra digits. what is the probability that their next (third) child will have extra digits?
The likelihood of their next third child having additional digits of (six fingers on each hand and six toes on each foot) is 1/2.
Define the term dominant traits?A trait is a distinguishing characteristic that a person possesses. Dominant traits are defined as having only one copy of a gene on a chromosome which expresses a specific trait.Individuals exhibit the dominant traits most prominently. Polydactyly is the dominant condition in this case.For the given condition,
The father has six fingers plus six toes, while the mother is still in normal condition. In this particular case, polydactyly is a dominant characteristic. Twelve percent of the couple's children are projected to have additional digits.Because the father has the dominant feature as well as the mother is now in normal condition, there is a 50% chance that this deformity will be passed down to children.
Thus, the likelihood of their next (third) child having additional digits is 1/2.
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a party rental company has chairs and tables for rent. the total cost to rent chairs and tables is . the total cost to rent chairs and tables is . what is the cost to rent each chair and each table?
If the total cost to rent 2 chairs and 12 tables is $107 and the total cost to rent 5 chairs and 3 tables is $38, then the costs to rent each chair and table are $2.5 and $8.5 respectively. We can solve this question using elimination and substitution methods.
How do you prove that?Elimination and substitution methods are involved in solving this problem. We're going to use the variables x for the cost of a chair and y for the cost of a table. The total cost to to rent 2 chairs and 12 tables is $107, so the equation can be written as 2x + 12y = 107. The total cost to rent 5 chairs and 3 tables is $38, so the equation can be written as 5x + 3y = 38.
To find the value for x, we need to eliminate the variable y first. Start by multiplying each term in the second equation by 4.
5x · 4 + 3y · 4 = 38 · 4
20x + 12y = 152
Then, subtract the terms in the second equation from their counterparts in the first equation.
2x + 12y = 107
20x + 12y = 152 -
-18x + 0 = -45
Finally, with a little bit of algebraic manipulation, we've got x = 2.5, hence $2.5 is the cost in to rent a chair.
-18x = -45
x = -45/-18
x = 2.5
What about the cost to rent a table? Well, we can substitute 2.5 for x in either of the equations to get the value for y. For instance, we can pick the equation 2x + 12y = 107 and substitute x with 2.5 to isolate the variable y, like this:
2(2.5) + 12y = 107
5 + 12y = 107
12y = 107 - 5 = 102
y = 8.5
The value for y turns out to be 8.5. So the cost to rent a table is $8.5.
Your question is incomplete, but it was most probably "A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $107. The total cost to rent 5 chairs and 3 tables is $38. What is the cost to rent each chair and each table?"
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PLEASE HELP ANSWER JUST ONE OF THEM AT LEAST!
Polly buys a drink at a convenience store for $1. 80. She also buys a bag of chips.
(a) The ratio of the cost of the chips to the cost of the water is 4:3. Find the cost of the chips.
$
(b) Polly has $6 to spend. Work out the total amount she spends on a drink and chips as a fraction of the $6. Give your answer in its lowest terms.
(c) The $6 is 37. 5% less than the amount Polly had to spend last week. Calculate the amount she had last week.
$
Answer:
(a) $2.40
(b) Chips: 4/7
Drink: 3/7
(c) $9.60
Step-by-step explanation:
Polly buys a drink at a convenience store for $1. 80. She also buys a bag of chips.
(a) The ratio of the cost of the chips to the cost of the water is 4:3. Find the cost of the chips.
chips : water = 4 : 3
chips/water = 4/3
c/1.8 = 4/3
3c = 1.8 × 4
c = 0.6 × 4
c = 2.4
$2.40
(b) Polly has $6 to spend. Work out the total amount she spends on a drink and chips as a fraction of the $6. Give your answer in its lowest terms.
4 + 3 = 7
Chips: 4/7
Drink: 3/7
(c) The $6 is 37. 5% less than the amount Polly had to spend last week. Calculate the amount she had last week.
Last week it was 100%.
This week it is 37.5% less.
100% - 37.5% = 62.5%
This week, it is 62.5% of last week.
Let x = last week's amount.
62.5% of (last week's amount) = $6
62.5% × x = 6
0.625x = 6
Divide both sides by 0.625
x = 6/0.625
x = 9.6
$9.60
I need a quick answer please !!!
——————————————————
The diagram (below) shows a game in which you use the pieces at the top to form solid rows at the bottom. Using only translations and rotations, describe the transformations of the pieces at
the top that will form two solid rows at the bottom.
meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow meow
Graph the following features:
Y-intercept = -1
Slope = -2
The line that has a slope of -2 and a y-intercept of -1 is shown in the graph below.
What is the Equation of a Line in Slope-intercept Form?An equation of a line in slope-intercept form that is expressed as y = mx + b, can be graphed if we know the value of the slope (m), and the value of the y-intercept (b).
We are given the following:
Slope of a line (m) = -2Y-intercept of the line (b) = -1To write the equation of the line in slope-intercept form, substitute m = -2 and b = -1 into y = mx + b:
y = -2x - 1
This means that the rise/run of the line, which is the slope, to be graphed would be equal to -2 while the line will intercept the y-axis at point -1, because the y-intercept given is -1.
The line with the stated features are shown in the graph below.
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William is a trucker. Today, he is hauling refrigerators that weigh 0.16 tons each. His truck
weighs 15 tons when empty. What is the total weight of the truck with 20 refrigerators on it?
Write and solve an equation to find the answer.
tons
4
Answer:
Full truck = 18.2 tons
Step-by-step explanation:
FT = ET + 20R. ET (Empty Truck) = 15t
R (refrigerator) = 0.16t
FT = 15t + 3.2t
FT= 18.2t
Angles RTG and GTU are adjacent angles. If m∠RTG=5.8° and m∠GTU=113.6°, what is m∠RTU in degrees?
If m∠RTG = 5.8° and m∠GTU = 113.6°. Then the measure of the angle ∠RTU will be 119.4°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
Angles RTG and GTU are adjacent angles. If m∠RTG = 5.8° and m∠GTU = 113.6°.
∠RTU = ∠RTG + ∠GTU
∠RTU = 5.8° + 113.6°
∠RTU = 119.4°
The measure of the angle ∠RTU will be 119.4°.
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Andrew has 8 cassettes. Mary has x cassettes and Jim has twice as many as Andrew. Together they have four times as Mary has. Form an equation and find how many cassettes Mary has.
Answer:
mary=x
andrew=8
jim=2*8=16
together=4*mary
total=8+16=24
24/4=x
x=6
Step-by-step explanation:
find the roots of each expression with rational exponents.
1.27⅓
2.225½
3.49³/²
(please show solution
you can write in on paper)
simplify each expression
For the given expressions the roots with rational exponents are as follow:
a. 27¹/³ = 3
b. 225 ¹/² = 15
c. 49 ³/² = 243
As given in the question,
For the given expressions the roots with rational exponents are as follow:
Solution of each expression is given by:
a. 27¹/³
Prime factors of 27 is equal to 3 × 3 × 3
27¹/³
= ( 3 × 3 × 3 )¹/³
= ( 3³ )¹/³
= 3
b. 225 ¹/²
Prime factors of 225 is equal to 3 × 3× 5× 5
225 ¹/²
= ( 3× 3× 5× 5)¹/²
= ( 15²)¹/²
= 15
c. 49 ³/²
Prime factors of 49 is equal to 7 × 7
49 ³/²
= ( 7 × 7) ³/²
= (7²) ³/²
= 7³
= 343
Therefore, for the given expressions the roots with rational exponents are as follow:
a. 27¹/³ = 3
b. 225 ¹/² = 15
c. 49 ³/² = 243
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In a recipe, for every tablepoon of ugar there are four teapoon of alt. If a batch ue four tablepoon of ugar, how many teapoon of alt doe it ue?
tablepoon of ugar
teapoon of alt 1 4 4
There will be 16 teaspoons of salt is needed for the 4 tablespoons of sugar.
Given, In a recipe, for every tablespoons of sugar there are four teaspoons of salt.
If a batch use four tablespoons of sugar then we have to find the number of tablespoons of salt needed.
as, 1 sugar = 4 salt
4 sugar = 4×4 salt
4 sugar = 16 salt
So, the number of tablespoons of salt needed is 16 for the use of 4 tablespoons of sugar.
Hence, there will be 16 teaspoons of salt is needed for the 4 tablespoons of sugar.
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Find the value of x.
79
118°
109
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Find the value of x ?y = 180 -71 = 109
x = 360 - (81+100+71)
x = 360 -252
x = 108
answer is B
x = 108 and y = 109
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The value of X is 108 and the value of y is 109. The algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division.
Find the value of x ?Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
y = 180 -71 = 109
x = 360 - (81+100+71)
x = 360 -252
x = 108
Therefore the value of x and y is x = 108 and y = 109
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