Answer:
100
Step-by-step explanation:
250/100×22= 5500/100
=55
What is the area of the triangular part of the flag below
Answer:
= 420 in^2
Step-by-step explanation:
The area of a triangle is one half the base times the height
A = 1/2 bh
In this figure the base is equal to 24 inches and the height is 35 inches
Substituting what we know.
A =1/2 (24) * 35
A= 12*35
= 420 in^2
Answer: The answer is 420
Step-by-step explanation:
24 x 35 equals 840. Then you divide by 20 and you get 420. I also took the test on iready.
Have a great day!
What is the percent of change from 500,000 to 10,000?
To find the percent of change from 500,000 to 10,000, subtract 10,000 from 500,000 to get 490,000, then divide that difference by the original number and multiply by 100 to get the percentage.
Explanation:To find the percent of change from 500,000 to 10,000, we need to calculate the difference between the two numbers and then find the percentage of that difference relative to the original number.
Step 1: Find the difference: 500,000 - 10,000 = 490,000.
Step 2: Find the percent: (490,000/500,000) × 100 = 98%.
The percent of change from 500,000 to 10,000 is 98%.
3(3a+2b-7)
SOMEONE PLEASE HELP ASAP
Answer: 9a + 6b - 21
Step-by-step explanation:
3(3a + 2b - 7)
= 3(3a) + 3(2b) + 3(-7)
= 9a + 6b + -21
Please find X in the figure below.
Answer:
x=34
Step-by-step explanation:
Please, see the attached file.
Thanks.
Answer:
Hence final answer is x=34
Step-by-step explanation:
∠ADC= ∠EDF {Vertically opposite angles are always equal}
∠ADC= 36° {Given }
∠ADB= 36°...(i) {Same angles}
∠ABI + ∠ABC = 180° {supplementry angles }
113° + ∠ABC = 180° {Given }
∠ABC = 180° - 113°
∠ABC = 67°
∠ABD = 67° ...(ii) {same angle}
We know that sum of all three angles of triangle is 180 degree so we can write:
∠ABD + ∠ADB + ∠BAD = 180°
67° + 36° + ∠BAD = 180° {using (i) and (ii) }
67° + 36° + x°+43° = 180° {from diagram }
146° + x° = 180°
x° = 180° - 146°
x° = 34°
Hence final answer is x=34
Anyone know how to solve this step by step?
Answer:
-1/2 or x=2
Step-by-step explanation: The first step you need to do in getting your answer is factoring ,you will factor the left side of the equation first:
(2x+1)(x-2)=0
Next, you will set the factors to equal to "0":
2x+1=0 x-2=0
Then you'll proceed to solve the problem using the basic algebraic equation problem solving steps .When you do this you'll be left with answers of x=-1/2 and x=2
Given f(x) = 3x + 2 and g(x) = 2x² , find the following composite functions:
a.) (g·f)(3) b.) (f·g)(x)
Will give branlist to the user who gets it right.
Answer: 0
Step-by-step explanation:
2^3+16/4-3*4
2*2*2=8
8+16/4-3*4
16/4=4
8+4-3*4
12-3*4
3*4=12
12-12=0
write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation (5,0) ; y+1=2(x-3)
Answer:
y=2x-11
Step-by-step explanation:
Answer:
The student should have simplified the equation to have y + 8 on the left. Then, the student should have subtracted 8 from both sides of the equation. The value of b should be 4, not 20.
Step-by-step explanation:
edge 2021.
Write an equation of the line that is perpendicular to the line y = 2x + 8, and which passes through the point (6,-2).
A) y = 2x + 4
B) y = -2x + 1
C) y = -1/2x + 1
D) y = -1/2x + 1
A triangle is drawn and then translated as shown in the diagram. Which statement is true?
A) The two triangles are congruent because all rectangles are congruent.
B) The two triangles are not congruent because a translation changes side length.
C) The two triangles are not congruent because a translation changes angle measures.
D) The two triangles are congruent because a translation does not change size and shape.
Answer:
D. The two triangles are congruent because a translation does not change size and shape.
Step-by-step explanation:
I'm pretty sure that D is the answer. It jut basically moved , didn't change anything.
Answer:
1. The equation of line is [tex]y=-\frac{1}{2}(x)+1[/tex].
2. The correct option is D.
Step-by-step explanation:
1.
The slope intercept form of a line is
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
The given equation of a line is
[tex]y=2x+8[/tex]
The slope of line is 2 and y-intercept is 8.
The product of slopes of two perpendicular lines is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]2\times m_2=-1[/tex]
[tex]m_2=-\frac{1}{2}[/tex]
The slope of required line is [tex]-\frac{1}{2}[/tex] and it passes through the point (6,-2).
The equation of required line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y+2=-\frac{1}{2}(x-6)[/tex]
[tex]y+2=-\frac{1}{2}(x)+3[/tex]
[tex]y=-\frac{1}{2}(x)+3-2[/tex]
[tex]y=-\frac{1}{2}(x)+1[/tex]
Therefore the equation of line is [tex]y=-\frac{1}{2}(x)+1[/tex].
2.
Translation is a rigid transformation. It means if a figure translated then the image and preimage are congruent
It the given figure two triangles are congruent because a translation does not change size and shape.
Therefore the correct option is D.
You have been tasked with filling 4 ounce and 3 ounce bags from a 41 ounce container of candy.
A. How many different combinations of full bags could you have?
B. If you would like to keep the total number of bags used to a minimum, which solution uses the fewest number of bags?
C. If 3 ounce bags cost 5 cents and 4 ounce bags cost 7 cents, which solution offers the cheapest way to fill the bags ?
D. If 3 ounce bags cost 5 cents and 4 ounce bags cost 6 cents, which solution offers the cheapest way to fill the bags ?
E. If the 4 ounce bags of candy sell for $2 each and the 3 ounce bags of candy sell for $1.50 each, which solution offers the greatest revenue?
Answer:
A. 3 possible combinations
B. 8 4-ounce's bags and 3 3-ounce's bags
C. 2 4-ounce's bags and 11 3-ounce's bags
D. 8 4-ounce's bags and 3 3-ounce's bags
E. All solutions offer the same revenue.
Step-by-step explanation:
You have been tasked with filling 4 ounce and 3 ounce bags from a 41 ounce container of candy. Let x be the number of 4 ounce bags and y be the number of 3 ounce bags. Then
[tex]4x+3y=41.[/tex]
A. Find all integer solutions:
When x=0, then 3y=41 - impossible, because 41 is not divisible by 3.When x=1, then 3y=37 - impossible, because 37 is not divisible by 3.When x=2, then 3y=33, y=11 - possible.When x=3, then 3y=29 - impossible, because 29 is not divisible by 3.When x=4, then 3y=25 - impossible, because 25 is not divisible by 3.When x=5, then 3y=21, y=7 - possible.When x=6, then 3y=17 - impossible, because 17 is not divisible by 3.When x=7, then 3y=13 - impossible, because 13 is not divisible by 3.When x=8, then 3y=9, y=3 - possible.When x=9, then 3y=5 - impossible, because 5 is not divisible by 3.When x=10, then 3y=1 - impossible, because 1 is not divisible by 3.You get 3 possible combinations.
B. 1. 2 + 11 = 13,
2. 5 + 7 = 12,
3. 8 + 3 = 11.
The minimal number of bags is 11.
C. 1. 2·7+11·5=69 cents
2. 5·7+7·5=70 cents
3. 8·7+3·5=71 cents
The cheapest is 1st solution.
D. 1. 2·6+11·5=67 cents
2. 5·6+7·5=65 cents
3. 8·6+3·5=63 cents
The cheapest is 3rd solution.
E. 1. 2·2+11·1.50=$20.50
2. 5·2+7·1.50=$20.50
3. 8·2+3·1.50=$20.50
All solutions offer the same revenue.
Match the pairs of equations that represent concentric circles
Answer:
The 3rd equation on the left column and second one on the right column.
Step-by-step explanation:
These 2 equations have same coefficients of x and y if we divide the first one by 4 and the second by 2.
This gives the 2 equations
x^2 + y^2 - 4x + 6y - 7 = 0
x^2 + y^2 - 4x + 6y - 20 = 0
If we compete the square on these we get
(x - 2)^2 + (y + 3)^2 = 20
(x - 2(^2 + (y + 3)^2 = 33
These are in standard form . The center is the same (2, -3) but the radii are different so they are concentric.
In mathematics, concentric circles have the same center but different radii. Their general equation is (x-h)²+ (y-k)² = r², sharing the same (h, k) coordinates. Examples include equations like (x - 2)² + (y - 3)² = 4 and (x - 2)² + (y - 3)² = 9.
In mathematics, concentric circles are circles that share the same center but have different radii. The general equation of a circle is given by (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius. Two such equations will represent concentric circles if and only if their center coordinates (h, k) are the same.
For example, consider the equations:
(x - 2)² + (y - 3)² = 4
(x - 2)² + (y - 3)² = 9
Both these circles have the center at (2, 3) but different radii (2 and 3 respectively), making them concentric circles.
If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)? –5 – 6i 5 – 6i 6 – 5i 6 + 5i
Answer: 5-6i
The rule is that if f(x) has real number coefficients, then a root of x = a+bi pairs up with its conjugate pair of x = a - bi. In this case, a = 5 and b = 6.
Answer:
5 -6i is also the root of f(x).
Step-by-step explanation:
Given : If 5 + 6i is a root of the polynomial function f(x),
To find : which of the following must also be a root of f(x).
Solution : We have given that 5+6i is the on of the root of polynomial function f(x).
It has two parts real and imaginary part so , it is a complex number .
Real part = 5 and 6i is imaginary part.
Complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but opposite in sign. For example, the complex conjugate of a + bi is a − bi.
a = 5 , b = 6.
Then by the complex conjugate defination , Another root would be 5 - 6i
Therefore, 5 -6i is also the root of f(x).
please help me turn this improper fraction into a mixed number, it's super easy
Answer:
3 3/5
Step-by-step explanation:
3 fives go into 18 with a remainder of 3.
Answer:
3 3/5
Step-by-step explanation:
In this picture B and F are midpoints x=
Answer:
44 You will get the 2x and 88 and divide 88 by 2x
Step-by-step explanation:
Answer: The required value of x is 22.
Step-by-step explanation: Given that B and F are the midpoints of the sides AC and AE of triangle ACE.
Also, BF = 2x and CE = 88.
We are to find the value of x.
Midpoint theorem : If a line segment joins the midpoints of any two sides of a triangle, then it is parallel to the third side and its length is equal to half of the length of the third side.
From triangle ACE, we have
B and F are the midpoints of the sides Ac and AE respectively, so BF will be parallel to CE and its length will ne half of the length of side CE.
Therefore,
[tex]BF=\dfrac{1}{2}\times CE\\\\\Rightarrow 2x=\dfrac{1}{2}\times88\\\\\Rightarrow 2x=44\\\\\Rightarrow x=\dfrac{44}{2}\\\\\Rightarrow x=22.[/tex]
Thus, the required value of x is 22.
Jim sold half of her comic books and then bought sixteen more she now has 36 with how many did she begin
Answer:
40 books
Step-by-step explanation:
36-16=20
20 is half her original collection
20*2=40
Answer: He began with 40 Comic Books.
Step-by-step explanation: First exclude the 16 he bought from the 36. This leaves 20. Then dubble it because he sold half so it brings it up to 40! Hope this helps! ;)
36 - 16 = 20
20 * 2 = 40
The answer is 40!
If you vertically compress the absolute value parent function ?? What is the equation of the new function
Answer: Choice A -- f(x) = (1/3)*|x|
============================================
The input of a function is x and the output is y = f(x)
To vertically compress a function, we will multiply the y value by some fraction smaller than 1. This is so that the y coordinates are a fraction of what they once were.
In this case, we multiply y by 1/3 so that something that has a y coordinate of y = 81 becomes y = 27 (divide by 3)
So we have y = f(x) become (1/3)*y = (1/3)*f(x) = (1/3)*|x|
Stephanie walks 2/5 miles in 1/4 our what is Stephanie speed in miles per hour
Answer:
1 3/5 miles per hour
Step-by-step explanation:
Distance = rate * time
We know the distance and the time
2/5 miles = rate * 1/4 hour
Divide by 1/4
2/5 ÷ 1/4 = rate * 1/4 ÷ 1/4
Copy dot flip
2/5 * 4/1 = rate
8/5 = rate
1 3/5 miles per hour is the rate
HELP ME PLEASE!!!! THE QUESTIONS ARE EASY!!!
1. 2P + 14 = 0
2. - 2/3 w + 5 = 4
3. 5d - 1 = - 11
4. 11x - 24 = - 2
5. 3g - 49 = - 7
Question 1. 2P + 14 = 0
Step 1. You need to subtract 14 from both sides.
2p+14−14=0−14
2p=−14
Step 2. Then divide both sides by 2.
2p /2 = −14 /2
Answer: p=−7
Question 2. - 2/3 w + 5 = 4
Step 1. Subtract 5 from both sides.
−2 /3 w+5−5=4−5
Step 2. Then multiply both sides by 3/(-2).
( 3 /−2 )*( −2 /3 w)=( 3 /−2 )*(−1)
Answer: w= 3 /2
Question 3. 5d - 1 = - 11
Step 1. First add 1 to both sides.
5d−1+1=−11+1
5d=−10
Step 2. Divide both sides by 5.
5d /5 = −10 /5
Answer: d=−2
Hope this helps! :)
how would you show circle C with a center of (-2,-1) and a radius of 5 is similar to circle D with a center of (4,-3) and a radius of 10??
Answer:
We can translate Circle C (x+6, y-2) to have the same center as D. The ratio of radius to radius is 10/5=2. Scale factor 2 from C to D.
Step-by-step explanation:
Similar objects are objects which are the same shape but not the same size. This means they have the same angle measures and a scale factor between the side lengths. To show similarity, we can use transformations and proportions. We can translate to shift the object, dilation to increase or decrease size and so forth. We use proportions to find scsale factor or missing length.
We have a circle. Circles do not have a specific angles and all circles have 360 degrees. They do not have sides but do have radius. All circles are similar because all are the same shape - a fixed center with points equidistant from the center (the radius). To show similar we can translate the circle so the centers are the same and create a ratio between the radius.
We can translate Circle C (x+6, y-2) to have the same center as D. The ratio of radius to radius is 10/5=2. Scale factor 2 from C to D.
nine more than twice a twice a number is less than negative nineteen. find all numbers that make this statement true
The numbers that make the statement true are:
( -14, -∞ ) or [-15, -∞).
i.e -15, -16, -17, - 18, -19, ,,,,,,,,,-∞
Given,
Nine more than twice a number is less than negative nineteen.
We need to find all numbers that make this statement true.
What do the mathematical terms mean?More than - addition.
Twice - multiplication of 2.
Less than - <
How do we arrange integer numbers in ascending order?-∞.......-5 < -4 < -3 < -2 < -1 < 0 < 1 < 2 < < 3 ...........∞
Find the expression.
Let the number be M.
"Nine more than twice a number is less than negative nineteen".
We can write this statement as:
2M + 9 < -19
Find the number M.
2M + 9 < -19
2M < -19 - 9
2M < -28
M < -28/2
M < -14
Let us check the statement is true with M < -14.
2M + 9 < -19
2 x -15 + 9 = -19
-30 + 9 = -19
-21 < -19
This is true.
We see that all numbers below -14 will make the statement true.
So,
The numbers are -15, -16, -17, -18,..........-∞
Thus the numbers that make the statement true are ( -14, -∞ ) or [-15, -∞).
i.e -15, -16, -17, - 18, -19, ,,,,,,,,,-∞
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To solve the inequality, we need to translate the given statement into an algebraic expression and then solve for 'x' using subtraction and division.
Explanation:To solve the inequality, we will translate the given statement into an algebraic expression. Let's say the number is represented by 'x'. 'Twice a number' can be written as 2x. 'Nine more than twice a number' can be written as 2x + 9.
So, the inequality becomes 2x + 9 < -19.
To solve for 'x', we subtract 9 from both sides of the inequality, giving us 2x < -28. Then, we divide both sides by 2, resulting in x < -14.
Therefore, any number less than -14 will make the statement true.
3 different way to right thirty two thousand,sixty and four thousandths
Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols. 3x+4y=16 -4x-3y=-19
Answer:
(4,1)
Step-by-step explanation:
3x+4y=16
-4x-3y=-19
I will solve this system by elimination. I will eliminate x
Multiply the first equation by 4 and the second equation by 3
4 (3x+4y)=4*16
12x + 16y = 64
3 (-4x-3y)=3*-19
-12x -9y = -57
Add the two modified equations together to eliminate x
12x + 16y = 64
-12x -9y = -57
-----------------------
7y = 7
y=1
We still need to find x
3x+4y = 16
Substitute y=1
3x+4(1) = 16
3x+4=16
Subtract 4 from each side
3x = 16-4
3x =12
Divide each side by 3
3x/3 = 12/3
x=4
Answer: The required solution is (x, y) = (4, 1).
Step-by-step explanation: We are given to solve the following system of linear equations :
[tex]3x+4y=16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\-4x-3y=-19~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
We will be using the method of Elimination to solve the given system as follows :
Multiplying equation (i) by 4 and equation (ii) by 3, we have
[tex]4(3x+4y)=4\times16\\\\\Rightarrow 12x+16y=64~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
and
[tex]3(-4x-3y)=-19\times3\\\\\Rightarrow -12x-9y=-57~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)[/tex]
Adding equations (iii) and (iv), we get
[tex](12x+16y)+(-12x-9y)=64+(-57)\\\\\Rightarrow 7y=7\\\\\Rightarrow y=\dfrac{7}{7}\\\\\Rightarrow y=1.[/tex]
Substituting the value of y in equation (i), we get
[tex]3x+4\times1=16\\\\\Rightarrow 3x+4=16\\\\\Rightarrow 3x=16-4\\\\\Rightarrow 3x=12\\\\\Rightarrow x=\dfrac{12}{3}\\\\\Rightarrow x=4.[/tex]
Thus, the required solution is (x, y) = (4, 1).
How do I find the measure of problem #13
Answer:
Set the two equations equal to each other if you want me to solve tell me.
So.... 15x+10=16x+3
-15 -15
10=1x+3
-3
7=x
Answer:
Step-by-step explanation:
Set them equal bc they are vertical angles
15x+10=6x+3
-6x. -6x
9x=
I don't know the rest
10 /2960What's 10 divided by 2960
[tex]10 \sqrt{2.960}[/tex]
If m = − 7 / 2 is slope, y - intercept is 12 and the point ( x, 5 ) lies on the line. What is the value of x ?
Answer:
x = 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
here m = - [tex]\frac{7}{2}[/tex] and c = 12
y = - [tex]\frac{7}{2}[/tex] x + 12 ← equation in slope-intercept form
given (x, 5) lies on the line, solve for x by letting y = 5
- [tex]\frac{7}{2}[/tex] x +12 = 5
multiply all terms by 2 to eliminate the fraction
- 7x + 24 = 10 ( subtract 24 from both sides )
- 7x = - 14 ( divide both sides by - 7 )
x = 2
Eight balls numbered from 1 to 8 are placed into a bag.
Some are grey and some are white, as shown on the right.
Answer:
It is given that,
there are 8 balls in the bag numbered 1 to 8
5 balls are color is gray and all others are white
The gray color balls are 2,3,4,5 and 7
The white color balls are 1,6 and 8
P(X) = probability of getting white ball
P(not X) = Probability of getting gray ball
a) To find Probabilities P(X) and P(not X)
For event X, 1,,6,8 are checked and P(X) = 3/8
for event 'not X' 2,3,4,5 and 7 are checked and P(not X ) = 5/8
b) To find 1 - P(X)
1 - P(X) = 1 - 3/8 = (8 - 5)/8 = 5/8
c)1 - P(X) is same as P(not X)
Please help solve for b.
b + a = 14
b = 14 - a
14 - a + a = 14
14 = 14
Since we can't gain any further information after solving for b the first time, we know b = 14 - a to be the simplest form of b.
simplify the radical expression below 2/9.
Answer:
=sqrt(2) /3
Step-by-step explanation:
sqrt(2/9)
We can split the sqrt(a/b) = sqrt(a)/ sqrt(b)
sqrt(2/9) = sqrt(2)/sqrt(9)
We know that the sqrt(9) is 3
=sqrt(2) /3
Answer:2/9 but not the regular one
Step-by-step explanation:
If photocopier is making reduce copies of a photo that measures 25 cm in height. The height of the first copy is 80% of the height of the original. Another copies made using the first copy and the height of this copy is 85% of the height of the first copy
The height of the first copy is 20 cm, and the height of the second copy is 17 cm, after applying the percentages to each successive copy.
Explanation:The subject of your question falls into the category of Mathematics, particularly in the domain of ratios and percentages. In order to answer your question, we must make a sequence of percentage calculations based on the original height of the photo.
Firstly, if the height of the first copy is 80% of the original photo's height, then the calculation should look like this: 0.80 * 25 cm = 20 cm. Therefore, the first copy's height is 20 cm.
Secondly, the height of the next copy is said to be 85% of the FIRST copy's height. Therefore, we proceed with a similar calculation: 0.85 * 20 cm = 17 cm. This implies that the height of the second copy is 17cm.
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Which equation represents a proportional relationship? A) y = 3x 8 B) y = 3 8x C) y = 3x 8 + 1 D) y = 3 8x + 1
The equation representing a proportional relationship, which is defined by a constant ratio and passes through the origin, is option A) y = 3x.
The question which equation represents a proportional relationship refers to a type of linear equation in which the ratio of one variable to another is constant. The form of a proportional relationship is y = kx, where k is the constant of proportionality. Looking at the options provided:
A) y = 3x - This equation is proportional because it is in the form of y = kx, where k is 3.B) y = 3/8x - This is also proportional, but option A is in a more standard form.C) y = 3x + 8 - This equation is not proportional because it includes a y-intercept, which means it does not pass through the origin (0,0).D) y = 3/8x + 1 - Like option C, this contains a y-intercept and is not proportional.Therefore, the equation representing a proportional relationship is option A) y = 3x.