Answers
It ΔABC and ΔXYZ are similar, then the sides of the triangles are in proportion.
[tex]\dfrac{AB}{XY}=\dfrac{BC}{YZ}=\dfrac{AC}{XZ}[/tex]
We have BC = 8, AC = 7, Y = 28, XZ = 49 and YZ = 56. Substitute:
[tex]\dfrac{AB}{XY}=\dfrac{BC}{YZ}\to\dfrac{AB}{28}=\dfrac{8}{56}\qquad\text{cross multiply}\\\\56AB=(8)(28)\qquad\text{divide both sides by 56}\\\\AB=\dfrac{224}{56}\\\\\boxed{AB=4}[/tex]
Related Questions
Anyone know how to solve this step by step?
Answers
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
The regular price of a newly released video game is $32. LeBron buys the video game when its on sale for 30% off the regular price. If sales tax is 10%, how much does LeBron pay for the video game.
Answers
Answer:
$24.64
Step-by-step explanation:
30% off is equal to multiplying by 0.7
(32*0.7)*1.1
Sales tax increases the price and so you multiply by 1.1 (equal to increasing 10%)
32*0.7*1.1=24.64
He will pay $24.64 for the game.
Eight balls numbered from 1 to 8 are placed into a bag.
Some are grey and some are white, as shown on the right.
Answers
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)
Determine the slope for the following:
-6x-2y=12
Answers
Answer:
New Slope is -3
Step-by-step explanation:
First we will need to simplify the equation to make it easier. so since all numbers are divisible by 2 so instead of -6x-2y=12 the new equation will be -3x-y=6. then you are gonna solve for y and the answer is -y=3x+6. so then you will divide by -1 to make y positive. then Your Final Equation is y=-3x-6
Your new slope is -3
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
Answers
25 x .85 = 21.25cm
PLEASE GIVE BRAINLIEST
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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Someone quickly help!!
Answers
Let's go:
[tex]\frac{32}{6x + 6} = \frac{24}{9x - 9} \\\\ 32.(9x - 9) = 24.(6x + 6) \\\ 288x - 288 = 144x + 144 \\\ 288x - 144x = 144 + 288 \\\ 144x = 432 \\\ x = 3[/tex]
I hope I helped you.
Answer:
x = 3Step-by-step explanation:
Use Angle bisector theorem (look at the picture)
[tex]\dfrac{24}{9x-9}=\dfrac{32}{6x+6}\qquad\text{cross multiply}\\\\24(6x+6)=32(9x-9)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(24)(6x)+(24)(6)=(32)(9x)+(32)(-9)\\\\114x+144=288x-288\qquad\text{subtract 144 from both sides}\\\\144x=288x-432\qquad\text{subtract}\ 288x\ \text{from both sides}\\\\-144x=-432\qquad\text{divide both sides by (-144)}\\\\x=3[/tex]
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?
Answers
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.
ANSWER QUESTION 2 and 3 FOR 25 POINTS AND BRAINLIEST!!
Answers
Answer:
A and C
Step-by-step explanation:
It is certainly not D. She holds no hope for improvement, not really. She is sad that there has not been anything good happening and realistic enough to know that things are going from bad to worse.
C might be possible, but it doesn't really sound like she's blaming anyone, not in that passage.
B There's too much dispair in what she is saying to believe that a miracle will happen.
A would be my choice.
Three
Pinnacle means highest,not lowest. Answer C
Which statement can be concluded using the true statements? If a quadrilateral has 4 equal sides and 4 equal angles, then it is a square. If a figure is a square, then each of its angles must measure 90 degrees
Answers
Answer:
A. If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.
Step-by-step explanation:
What special sequence was able to be created on 6th of May, 1978, at 12:34pm? no spaces no punctuation
Answers
Answer:
At that particular moment, the time and day could be written as: 12:34, 5/6/78.
Where as we can see numbers are in increasing order.
Your brother is going to buy a car when he graduates, but he doesn't have enough money to pay for it in cash. He takes a loan out at a bank that charges 4% simple interest. If the initial cost of the car is $18,500 and he takes out a 5-year loan, what is the total amount your brother will be paying for the cost of his car?
Answers
Year 2- 19240 x 1.04 = 20009.6
Year 3- 20009.6 x 1.04 = 20809.984
Year 4- 20809.984 x 1.04 = 21642.3834
Year 5- 21642.3834 x 1.04 = 22508.0784
The answer rounded is $22508 so your brother will have to pay $22508 for his car
Hope this helps :)
What is the percent of change from 500,000 to 10,000?
Answers
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%.
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
Answers
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).
3 1/2 divided by 2 1/4
Answers
1.55555556 Rounded is 1.55
To divide mixed numbers like 3 1/2 and 2 1/4, first convert to improper fractions. In this case, 3 1/2 divided by 2 1/4 simplifies to 1 5/9.
Explanation:To solve the problem of 3 1/2 divided by 2 1/4, you need to first convert each mixed number into an improper fraction.
3 1/2 becomes 7/2 and 2 1/4 becomes 9/4, because 3*2 + 1 = 7 (for the first number) and 2*4 + 1 = 9 (for the second number), the numerators of the fractions.
Next, in our division problem, we flip the second fraction (this is the reciprocal), and multiply it with the first. It's the same as multiplying by its inverse to divide fractions.
So, 7/2 divided by 9/4 becomes 7/2*
4/9 which equals 28/18, which can be simplified to 1 10/18 or further simplified to 1 5/9 in mixed number form.
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If you vertically compress the absolute value parent function ?? What is the equation of the new function
Answers
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|
nine more than twice a twice a number is less than negative nineteen. find all numbers that make this statement true
Answers
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.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Draw the graphic of the following conditions: {(x, y): x = 2} {(x, y): y -3]
Answers
Answer:
2,-3
Step-by-step explanation:
1.{(x, y): x = 2} we know x = 2
2. {(x, y): y -3] we know y = -3
3. x,y = 2,-3
Answer:
3,4,1,2 is the order in which it goes in (go left to right) :)
Step-by-step explanation:
Question number 1: 5/8 (16b+24) -1/2b
Question number 2: 3/4 (16/64 + 12a) -9a
Answers
Answer:
Problem 1. (19/2)b + 15
Problem 2. 3/16
Step-by-step explanation:
Question number 1
5/8 (16b+24) -1/2b =
= (5/8) * (16/1) * b + (5/8) * 24 - (1/2)b
= 10b + 15 - (1/2)b
= (20/2)b - (1/2)b + 15
= (19/2)b + 15
Question number 2
3/4 (16/64 + 12a) -9a =
= (3/4) * (16/64) + (3/4) * 12a - 9a
= (3 * 16)(4 * 64) + (3/4) * (12/1) * a - 9a
= (3 * 1)(4 * 4) + (3 * 12)/(4 * 1) * a - 9a
= 3/16 + (3 * 3)/(1 * 1) * a - 9a
= 3/16 + 9a - 9a
= 3/16
First fourth and tenth terms a(n) = 5 + (n + 1) 1/6
Answers
Answer:
a(4) = 5 5/6
a(10) = 6 5/6
Step-by-step explanation:
To find the 4th term, let n =4
a(n) = 5 + (n + 1) 1/6
a(4) = 5 + (4+1) 1/6
=5+5 * 1/6
= 5 + 5/6
= 5 5/6
To find the 10th term, let n =10
a(n) = 5 + (n + 1) 1/6
a(10) = 5 + (10+1) 1/6
=5+11 * 1/6
= 5 + 11/6
= 5 + 1 5/6
= 6 5/6
3(3a+2b-7)
SOMEONE PLEASE HELP ASAP
Answers
Answer: 9a + 6b - 21
Step-by-step explanation:
3(3a + 2b - 7)
= 3(3a) + 3(2b) + 3(-7)
= 9a + 6b + -21
A package of AA batteries cost $3.50 plus an additional 6% tax. What is the price after tax? PLEASE HELP!!!
Answers
Answer:
$3.71 is your price after the tax.
Step-by-step explanation:
First, change the percentage into a decimal:
6% = 0.06
Multiply the decimal with the cost:
3.50 x 0.06 = 0.21
Add the number gotten to the original price:
3.50 + 0.21 = 3.71
$3.71 is your price after the tax.
~
Answer:
$3.71
Step-by-step explanation:
The tax = original price * tax rate
= 3.5 * .06
=.21
Add the tax to the original price to get the total cost
total cost = 3.5+.21
=3.71
The cost of the batteries is $3.71 after tax
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 ?
Answers
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
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
Answers
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).
Stephanie walks 2/5 miles in 1/4 our what is Stephanie speed in miles per hour
Answers
1÷4=0.25
0.4÷0.25=0.016
so she walks at a rate of 0.016 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
What is the area of the triangular part of the flag below
Answers
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!
simplify the radical expression below 2/9.
Answers
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:
What is the solution for -10 < x - 9?
Answers
x > - 1
STEP-BY-STEP EXPLANATION:
- 10 < x - 9
x - 9 > - 10
x > - 10 + 9
x > - 1
Answer:
x > - 1
Step-by-step explanation:
- 10 < x - 9
x - 9 > - 10
x > - 10 + 9
x > - 1
Assessment items Diana is constructing a regular hexagon inscribed in a circle. She begins by drawing a line and labeling a point on the line as point A. She uses her compass to construct a circle with point A as the center, labeling the points where the circle intersects the line as points B and C. Without changing the compass opening, she constructs a circle with point B as the center and then with point C as the center. What step should be her next step?
Answers
Answer:
Draw and label the points where the circles with centers A and B intersect and where the circles with centers A and C intersect.
Step-by-step explanation:
Got it right on the test
Find the greatest common factor of these three expressions. 5v2 , 14v4 , and 35
Answers
Question
Find the greatest common factor of these three expressions. 5v2 , 14v4 , and 35
Answer:
1Step-by-step explanation:
assuming that 5v2 is 5², and 14v4 is 14^4
5² = 25
14^4 = 38416
35 = 35
The factors of 25 are: 1, 5, 25
The factors of 35 are: 1, 5, 7, 35
The factors of 38416 are: 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2401, 2744, 4802, 5488, 9604, 19208, 38416
--------------
the greatest common factor is 1
Need answers for 14-17
Answers
Answer: whats the question
Step-by-step explanation: