We can check each option.
a) We have to prove that x = 8.
The sides KN and MN should have the same length, so we can write:
\(\begin{gathered} KN=MN \\ 7x-4=5x+12 \\ 7x-5x=12+4 \\ 2x=16 \\ x=\frac{16}{2} \\ x=8 \end{gathered}\)As x has to be 8, this option is true.
b) This option states that KN = 24.
We can test this using the value of x we have just calculated:
\(\begin{gathered} KN=7x-4 \\ KN=7\cdot8-4 \\ KN=56-4 \\ KN=52 \end{gathered}\)This option is false, as KN = 52.
c) As MN = KN, and KN = 52 (from the last calculation), we can conclude that MN = 52.
Then, this option is true.
d) This option states that KL ≅ ML.
By symmetry, the two sides have to have the same length and are congruent, so this option is true.
e) This option states that LM ≅ LN.
This two segments can not be equal, as they are part of a right angle and the hypotenuse as LN can not have the same length as a leg, like LM.
This option is false.
Answer: the true options are A, C and D.
Simplify the following expression. 3 11 5 ÷ 3 − 9 5 A. 12 B. 1 81 C. 81 D.
Answer:
A
Step-by-step explanation:
To simplify the expression 3 11 5 ÷ 3 − 9 5, let's break it down step by step:
First, let's simplify the division 3 11 5 ÷ 3:
3 11 5 ÷ 3 = (3 × 115) ÷ 3 = 345 ÷ 3 = 115.
Next, let's subtract 9 5 from the result we obtained:
115 - 9 5 = 115 - (9 × 5) = 115 - 45 = 70.
Therefore, the simplified expression is 70.
The correct answer is A. 70.
Travel Expenses, Meals And Entertainment, Educational Expenses (LO 3.4, 3.5, 3.6) Bob is a self-employed lawyer and is required to take a week of continuing legal education every year to maintain his license. This year he paid $1,400 in course fees for his continuing legal education in a different city. He also paid $500 for airfare and a hotel room and paid $300 for meals, all of which were provided by the hotel’s restaurant. Bob also purchased a $10 bag of snacks from a newsstand while waiting for his plane in the airport because he missed lunch. What is the total amount he can deduct on his Schedule C related to these expenses? fill in the blank 1 of 1$
Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
How to calculate deductible amount?To determine the total amount Bob can deduct on his Schedule C related to these expenses, consider the specific categories that can be deducted. Based on the information provided, categorize the expenses as follows:
Course fees for continuing legal education: $1,400
Airfare and hotel room: $500
Meals provided by the hotel's restaurant: $300
Snacks from the newsstand: $10
To calculate the total amount that Bob can deduct, add up these expenses:
$1,400 + $500 + $300 + $10 = $2,210
Therefore, Bob can deduct a total of $2,210 on his Schedule C related to these expenses.
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This year you earned $75,500. Last year you earned $72,400. What was the rate of change on your earnings since last year
Answer:
4.28%
Step-by-step explanation:
We Know
Last year you earned $72,400
This year you earned $75,500
What was the rate of change in your earnings since last year?
We Take
(75,500 ÷ 72,400) x 100 ≈ 104.28%
Then We Take
104.28 - 100 = 4.28%
So, the earning increased by about 4.28%.
The midpoints of the sides of a unit square (side 1 unit long) are joined to form a new square. this procedure is repeated for each new square.
a) Find the sum of the areas of all the squares.
b) Find the sum of the perimeters of all squares.
a) The sum of the areas of all the squares is 2 unit².
b) The sum of the perimeters of all squares is \(\frac{4\sqrt{2} }{\sqrt{2} -1}\) unit.
How to calculate the area of a square?In Mathematics and Geometry, the area of a square can be calculated by using this mathematical equation (formula);
A = x²
Where:
A is the area of a square.x is the side length of a square.Area of 1st square, A₁ = 1² unit².
Area of 2nd square, A₂ = (1/√2)² unit².
Area of 3rd square, A₃ = (1/2)² unit².
Therefore, the sum of the areas of all the squares is given by;
Sum of all areas = A₁ + A₂ + A₃ + ...... + Aₙ
Sum of all areas = 1² + (1/√2)² + (1/2)² + .....
Common ratio, r = 1/2 and the first term is 1.
Sum of all areas to infinity = 1/(1 - 1/2)
Sum of all areas to infinity = 2 unit².
Part b.
In Mathematics and Geometry, the perimeter of a square can be calculated by using the following formula;
P = 4x
Perimeter of 1st square, P₁ = 4(1) unit.
Perimeter of 2nd square, P₂ = 4(1/√2) unit.
Perimeter of 3rd square, P₃ = 4(1/2) unit.
Therefore, the sum of the perimeter of all the squares is given by;
Sum of all perimeters = 4(1) + 4(1/√2) + 4(1/2) + .....
Sum of all perimeters = 4(1 + 1/√2 + (1/√2)² + ....)
Common ratio, r = 1/√2 and the first term is 1.
Sum of all perimeters to infinity = \(4(\frac{1}{1-\frac{1}{\sqrt{2} } } )\)
Sum of all perimeters to infinity = \(\frac{4\sqrt{2} }{\sqrt{2} -1}\) unit.
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Answer this question please
The possible rotation that transforms the image obtained from the reflection of the square ABCD on the line x = -1, with two vertices of the square remaining invariant is as presented as follows;
A rotation of the image of ABCD 270° counterclockwise, about the point (-2, -1) What is a rotation transformation?A rotation transformation is a transformation in which the preimage coordinate points are turned (in a circular manner) about a point.
The vertices of the square ABCD are; A(1, 4), B(3, 4), C(3, 2), D(1, 2)
The coordinates of the square following the reflection across the line x = -1 are; A'(-3, 4), B'(-5, 4), C'(-5, 2), and D'(-3, 2)
The rotation transformation of the image such that two vertices of the square are invariant (such that they remain the same) can be found as follows;
The rotation of a vertices of the image about the point (-2, -1) indicates the relative points are;
A'(-1, 5), B'(-3, 5), C'(-3, 3), and D'(-1, 3)
The image following a rotation of 270° are;
A''(5, 1), B'(5, 3), C'(3, 3), and D'(3, 1)
The above points relative to the origin are;
A''(5 + (-2), 1 - 1) = (3, 0), B''(5 - 2, -1 + 3) = (3, 2), C';(3 - 2, 3 - 1) = (1, 2), and D''(3 - 2, 1 - 1) = (1, 0)
A''(3, 0), B''(3, 2), C''(3, 4), and D''(1, 4)
The points (1, 2), and (3, 2) are therefore, the same as the points in the preimage and are therefore, invariant
The rotation is therefore;
A rotation of the image obtained from the reflection of the square, 270° counterclockwise about the point (-2, -1)Learn more on rotation transformation here: https://brainly.com/question/18392348
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Yo help me real quick?
Answer:
1,2 and 6
Step-by-step explanation:
pie symbol
2/3
0.333333....
helppppppppppppppppppppppppppppppppppppppp
Answer:
20
Step-by-step explanation:
If you turn it into a rectangle, then you can see one side is 4 squares long, and the other is 5 squares long. 4 x 5= 20
Need help with this equation 8x²+10x-3
Answer:
Step-by-step explanation:
You have to use the quadratic formula
x = -b +/- \(\sqrt{(b^{2} -4ac)/2a\)
and then you can simplify both answers so the first one would be -13/2 and the second would be -27/2
you usually have to reject an answer but since there is no equal sign in the question, you should be fine
Write a function that models the data.
Answer:
\(y = 5( {3}^{x} )\)
zeba wants to place her four dolls on the four shelves,one doll on each shelf .in how many ways can she arrange all toys
(a) 24
(b)256
(c)16
(d) 12
Answer:
Step-by-step explanation:
24 hope it helps you!!
Put these numbers in order from least to greatest 7.9 7.5 7.541 8.401 7.19
Answer: 7.19, 7.5, 7.541, 7.9, 8.401
Step-by-step explanation: I would recommend creating a number line and plotting to points, this may help you visual it from least-> great :)
Learning Task 3: Solve the following. Problems. Write your answer in
your notebook
Every Sunday, JB carries water for fish vendors at 22.30 per pan. How
many pails of water did he carry if he earned 382.50 on a Sunday?
2. Rey has 21.25 kes of coffee. He wants to put 0.25 kg of coffee per bag,
How many bags does he need?
Geen has 4 times as much money as her sister. If Gwen has P 604.80.
how much money does her sister have?
4. 4. Joy is planning to buy a new cellphone worth P 14 552.75. She tries
to save P 582.11 a week from her allowance. How many weeks will it
take her to save the amount enough to buy the cellphone?
5. Yesterday, Sallie took a trip to visit some family. She covered a total of
135.75 miles without making any stops along the way, and it took her
exactly 1.25 hours to arrive at her destination. At what average speed
did she arrive?
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
HELP I NEED IT FAST
The sequence applied to shape I that proves shape Iis similar to shape Il is a translation ______ right and _____ up, then a dilation by a scale factor of _____.
Answer:
shape I is similar to shape Il is a translation 6 right and 1 up, then a dilation by a scale factor of 1/2 (center:origin (0,0).
Step-by-step explanation:
shape I is similar to shape Il is a translation 6 right and 1 up, then a dilation by a scale factor of 1/2.
Susie ran a race. She ran 5 miles an hour, and the race took her t hours to complete.
How long was the race?
Write your answer as an expression.
Answer:
5m+ t = r
Step-by-step explanation:
m is the miles. t is how long she took. and r is for the time limit of the race.
A coffeemaker can brew at a rate of 1 cup every 0.8 minute. At this rate, how long would it take to brew 6 cups?
Answer:
.48
Step-by-step explanation:
consider the following code segment, which is intended to store the sum of all multiples of 10 between 10 and 100, inclusive (10 20 ... 100), in the variable total. int x
The missing code that can be used to replace / missing code / so that the code segment works as intended is x >= 10.
The code segment is intended to store the sum of all multiples of 10 between 10 and 100, inclusive. The value of x starts at 100 and is decremented by 10 on each iteration of the loop, until it reaches 10. The sum of all the multiples of 10 between 10 and 100 is stored in the variable total.
The missing code in the while statement determines when the loop will stop. If we use x >= 10 as a replacement for / missing code /, the loop will run as long as x is greater than or equal to 10. When x reaches 10, the loop will stop.
Here's the complete code:
int x = 100;
int total = 0;
while(x >= 10)
{
total = total + x;
x = x - 10;
}
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Your question is incomplete but probably the complete question is:
Consider the following code segment, which is intended to store the sum of all multiples of 10 between 10 and 100, inclusive (10 + 20 + ... + 100), in the variable total.
int x = 100;
int total = 0;
while( / missing code / )
{
total = total + x;
x = x - 10;
}
Which of the following can be used as a replacement for / missing code / so that the code segment works as intended?
A x < 100
B x <= 100
C x > 10
D x >= 10
E x != 10
Could someone please help me ASAP?
Answer:
B
Step-by-step explanation:
You need to shift the graph of cos UP >1 or DOWN > 1 to get no x -axis intercepts so answer B depicts the value of c
how many ft is equal to 1.66m
Answer:
5.44 meters
Step-by-step explanation:
We Know
0.3048 meter = 1 ft
How many ft makes a height of 1.66m?
We Take
1.66 ÷ 0.3048 ≈ 5.44 meters
So, the answer is 5.44 meters.
Consider the values shown. What place value must the answer be reported to?
7.273-12.4
1. Ones place
2. Tenths place
3. Hundredth's place
4. Thousandths place
I do not understand what is it asking could someone tell me the answer and then evaluate please
Answer:
2. Tenths place
Step-by-step explanation:
When you're concerned with the precision of a sum, the final value must be rounded to the precision of the least-precise contributor.
PrecisionThe numbers contributing to this sum are ...
7.273, with least significant digit in the thousandth's place.
-12.4, with least significant digit in the tenths place.
The smaller the place value of the least significant digit of a number, the greater the precision it has. The least-precise number will have the largest place value of its least-significant digit.
tenths > thousandths, so -12.4 has less precision
SumFirst of all, we compute the sum as though every contributor were exact. This is especially important when there are more than two contributors. With only two contributors, you get the same result if you round the more precise number first.
7.273 -12.4 = -5.127 . . . . . preferred method of finding the sum
7.3 -12.4 = -5.1 . . . . . . . . . . alternate approach for 2 contributors
Finally, we round that sum to the nearest tenth, reflecting the precision of -12.4:
sum = -5.1
__
Additional comment
As a general rule, this fixation on precision applies to quantities that are measured, estimated, or rounded.
For example, it doesn't make much sense to report a financial value to the penny if one of the contributors has already been rounded to the nearest hundred-thousand dollars. The amount could already be in error by up to $50,000, so precision to the penny is meaningless.
When working many kinds of problems, it can be useful to report answers to the same precision used for the problem values. In some cases, you are told exactly what precision to use for an answer (nearest integer, tenth, or hundredth). Where you are not told, it usually doesn't make much sense to use 6 significant digits for an answer to a problem with values given as one significant digit. However, it can be sensible to report the answer to 2 or 3 significant digits.
__
Here (in this problem), we're concerned with a sum. When you are computing a product or ratio, the rules are different. In those cases, the (least) number of significant digits in the contributors will determine the number of significant digits in the answer. Where mixed arithmetic (products and sums) is involved, the rounding of the final answer will depend on the final operation:
a(b+c) . . . the final operation is multiplication
ab +ac . . . the final operation is addition
As with all computation, the intermediate results should be carried to full calculator precision (unless directed otherwise). Only the final answer should be rounded to the necessary precision.
15 people working 5 hourse per day can make 30 units of a product in 10 days. Assuming all other factors remaining constant and people of same efficiency are used to make the same products, in how many days can 10 people make 10 units of the product if each of them works 10 hours per day?
- 2.5 days
- 7.5 days
- 12 days
- 26 days
Answer:
2.5 days
Step-by-step explanation:
To solve this problem, we can use the concept of work rate. The work rate is defined as the amount of work done per unit of time.
Given:
15 people working 5 hours per day can make 30 units of the product in 10 days.
From this information, we can calculate the work rate of these 15 people:
Work rate = Total units of the product / (Number of people × Number of hours × Number of days)
Work rate = 30 units / (15 people × 5 hours × 10 days)
Work rate = 0.04 units per person per hour
Now, we need to find how many days it will take for 10 people, working 10 hours per day, to make 10 units of the product.
Using the work rate formula:
Number of days = Total units of the product / (Number of people × Number of hours × Work rate)
Number of days = 10 units / (10 people × 10 hours × 0.04 units per person per hour)
Number of days = 2.5 days
Therefore, 10 people, working 10 hours per day, can make 10 units of the product in 2.5 days.
The correct answer is:
2.5 days
3. At a bargain store, Beast Boy bought 5 items that each cost the same amount. Cyborg bought 8 items that each cost the same amount, but each was $1.50 less than the items that Beast Boy bought. Both Beast Boy and Cyborg paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Beast Boy's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) What was the individual cost of each person's items? State the solution in complete sentences.
Answer:
See belowStep-by-step explanation:
(a)
Beast Boy spent:
5xCyborg spent:
8(x - 1.5)They spent same amount:
5x = 8(x - 1.5)(b)
5x = 8x - 128x - 5x = 123x = 12x = 4(c)
5*4 = 8(4 - 1.5)20 = 8*2.520 = 20(d)
Beast Boy bought 5 items that each cost $4Cyborg bought 8 items that each cost $2.5You need to make 48 servings of mushroom gravy. Each serving takes .75 cups of brown stock. How many quarts of brown stock do you have to make
Using proportions, it is found that you need 900 quarts of brown stock to make the servings of mushroom gravy.
We know that;
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Now, In this problem,
Each serving takes 75 cups of brown stock is,
= 75/4
= 18.75 quarts.
So, 48 servings will be made,
hence the number of quarts is given by:
n x Q = 48 x 18.75
= 900 quarts.
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A multiplication table. In the row labeled 3, the numbers 9, 12, 15, 18, and 21 are highlighted. In the row labeled 6, the numbers 18, 24, 30, 36, and 42 are highlighted. Look at the highlighted portions in the rows for 3 and 6. What do the two sets of numbers have in common? They both show products of multiplying by
The common number in both sets will be 18. And the row labeled 6 is the multiplication of the row labeled 3 with 2.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A multiplication table.
In the row labeled 3, the numbers 9, 12, 15, 18, and 21 are highlighted.
In the row labeled 6, the numbers 18, 24, 30, 36, and 42 are highlighted.
Look at the highlighted portions in rows 3 and 6.
The common number in both sets will be 18.
The row labeled 6 is the multiplication of the row labeled 3 with 2.
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Answer: the person above is wrong
its 3, 4, 5, 6, and 7
Help??
x^2 - 5x + 6
I dont need the answer, I have done the steps and gotten to x(x-2)-3(x-2)
I know the answer is (x-2)(x-3)
How do you get (x-2)(x-3) from x(x-2)-3(x-2) ?
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
\(\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}\)
Solve x²-5x+6
\(\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}\)
(x-2)(x-3)
\(\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}\)
First, we think of two numbers such that
If we multiply them, we'll get 6
If we add them, we'll get -5
These numbers are -2 and -3.
Write them here:
(x-2)(x-3)
Now, how do we get (x-2)(x-3) from x(x-2)-3(x-2)?
Notice that (x-2) is the common term, so we factor it out:
(x-2)
And now, we write the other two terms that are left in the parentheses:
(And the terms left are x and -3)
(x-2)(x-3)
Notice that we ended up with the same answer.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
is 0.70 equal to 7/10
yes the fraction of .70 is 7/10
Answer:
Yes
Step-by-step explanation:
0.70 = 7/10
HELP ASAP ILL GIVE BRAINLIEST !!! The social studies teacher wants to know whether students in the entire school but for a model of the United Nations activity or student government activity the teacher just a random sample from the following groups all teachers in the school I’ll boys in each grade or students in each grade I’ll send some social studies club which group best represents the population he should take a random sample from to get the best results for his survey
Answer:
Hello There. ☆~---_●₩●__---☆~ The students in each grade, that way it wont focus just on one group like the club, the teachers, or the boys.
Hope It Helps!~ ♡
ItsNobody~ ☆
sketch the graph of each linear inequality x-4y <_ 4
Given:
x - 4y ≤ 4
Rewrite the inequality using slope intercept form:
y = mx + b
Thus, we have:
4y ≤ -x + 4
Divide through by 4:
\(\begin{gathered} \frac{4y}{4}\leq-\frac{1x}{4}+\frac{4}{4} \\ \\ y\text{ }\leq-\frac{1}{4}x+1 \end{gathered}\)The slope is -1/4 while the y intercept is 1
The graph of the linear inequality is below:
32. Jimmy is putting down carpet in a square-shaped room. The floor has an area of
90 square feet. Jimmy knows that the side length of the floor must be √90 feet.
Which statement about the value of √90 feet is true?
A. √90 feet is between 9 feet and 10 feet but is closer to 9 feet.
B. √90 feet is between 9 feet and 10 feet but is closer to 10 feet.
C. √90 feet-45 feet
D. √90 feet = 8100 feet
Answer:
The correct answer is A.
Step-by-step explanation:
The correct answer is A.
To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.
The perimeter of the rectangle below is units. Find the value of .
SOLUTION
We have been given the primeter of the rectangle as 172 units. We want to find the value of x. To do this we have to add up all the sides and equate it to 172, we have
\(2(3x-1)+2(4x+3)=172\)Note that we have to multiply both sides by 2 because there are two lengths and two widths of equal sides. Solving for x, we have
\(\begin{gathered} 2(3x-1)+2(4x+3)=172 \\ 6x-2+8x+6=172 \\ collecting\text{ like terms } \\ 6x+8x+6-2=172 \\ 14x+4=172 \\ 14x=172-4 \\ 14x=168 \\ x=\frac{168}{14} \\ x=12 \end{gathered}\)Hence the answer is 12