Answer:
m+k=hw
m=hw-m
always conside BODMAS rule and subject
A triangle has side lengths of (26 +5c) centimeters, (10b + 7d) centimeters, and
(4d-3c) centimeters. Which expression represents the perimeter, in centimeters,
of the triangle?
The perimeter of the triangle will be 26 + 2c + 20b + 11d.
How to calculate the value?It should be noted that the perimeter of the triangle will be the addition of all the sides.
This will be:
26 + 5c + 10b + 7d + 4d - 3c
Collect like terms
26 + 5c - 3c + 10b + 11d
= 26 + 2c + 20b + 11d
Therefore, the perimeter of the triangle will be 26 + 2c + 20b + 11d.
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A triangle has side lengths of (26 +5c) centimeters, (10b + 7d) centimeters, and
(4d-3c) centimeters. Which expression represents the perimeter, in centimeters,
of the triangle?
4c + 26d
b + d + 26
26 + 2c + 20b + 11d.
the endpoints of segment mn have coordinates (0, 0) and (5, 1). the endpoints of segment ab have coordinates (1 1 2 , 2 1 4 ) and (−2 1 4 , k ). for what value of k are these segments parallel?
Answer:
When k = 1.5 the given segments are parallel===============================
Parallel lines have equal slopes.
Find the slope of the first line, mn:
[tex]m = \cfrac{y_2-y_1}{x_2-x_1}= \cfrac{1-0}{5-0}=\cfrac{1}{5}[/tex]Find the slope of the second line, ab:
[tex]m= \cfrac{y_2-y_1}{x_2-x_1}= \cfrac{k-2.25}{-2.25-1.5}=\cfrac{k-2.25}{-3.75}[/tex]Compare the slopes and find the value of k:
[tex]\cfrac{k-2.25}{-3.75}=\cfrac{1}{5}[/tex][tex]k-2.25=-\cfrac{3.75}{5}[/tex][tex]k-2.25=-0.75[/tex][tex]k=2.25-0.75[/tex][tex]k=1.5[/tex]Answer:
[tex]k=\dfrac{3}{2}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4.3 cm}\underline{Slope formula}\\\\$m=\dfrac{y_2-y_1}{x_2-x_1}$\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ \\ are points on the line.\end{minipage}}[/tex]
Segment MN
M = (0, 0)N = (5, 1)[tex]\implies \textsf{slope}=\dfrac{y_N-y_M}{x_N-x_M}=\dfrac{1-0}{5-0}=\dfrac{1}{5}[/tex]
Segment AB
A = (1 ¹/₂, 2 ¹/₄)B = (-2 ¹/₄, k)[tex]\implies \textsf{slope}=\dfrac{y_B-y_A}{x_B-x_A}=\dfrac{k-2 \frac{1}{4}}{-2\frac{1}{4}-1\frac{1}{2}}=\dfrac{k-2 \frac{1}{4}}{-2\frac{1}{4}-1\frac{2}{4}}=\dfrac{k-2 \frac{1}{4}}{-3\frac{3}{4}}[/tex]
Parallel lines have the same slope.
Therefore, equate the found slopes for the two segments and solve for k:
[tex]\implies \dfrac{k-2 \frac{1}{4}}{-3\frac{3}{4}}=\dfrac{1}{5}[/tex]
Cross multiply:
[tex]\implies 5 \left(k-2 \frac{1}{4}\right)=-3\frac{3}{4}[/tex]
[tex]\implies 5k-10 \frac{5}{4}=-3\frac{3}{4}[/tex]
[tex]\implies 5k-11 \frac{1}{4}=-3\frac{3}{4}[/tex]
Add 11 ¹/₄ to both sides:
[tex]\implies 5k-11 \frac{1}{4}+11 \frac{1}{4}=-3\frac{3}{4}+11 \frac{1}{4}[/tex]
[tex]\implies 5k=(-3+11)+\left(-\frac{3}{4}+\frac{1}{4}\right)[/tex]
[tex]\implies 5k=8-\frac{1}{2}[/tex]
[tex]\implies 5k=7\frac{1}{2}[/tex]
Divide both sides by 5:
[tex]\implies 5k \div 5=7\frac{1}{2} \div 5[/tex]
[tex]\implies 5k \div 5=\dfrac{15}{2} \div 5[/tex]
[tex]\implies k=\dfrac{3}{2}[/tex]
Therefore, the value of k for which the two segments are parallel is ³/₂.
1 Without graphing, determine the characteristics of the graph.
(a) y = |x-3) -1
What is the vertex?
Answer: (3, -1)
Step-by-step explanation:
y = |x-3|-1
When y=|x|, vertex is (0, 0).
Now, let's translate the graph so it becomes y = |x-3|-1.
|x| ==> |x-3| Translate the graph 3 units to the right
Vertex: (0+3, 0) ==> (3, 0)
|x-3| ==> |x-3|-1 Translate the graph 1 unit down
Vertex: (3, 0-1) ==> (3, -1)
Vertex: (3, -1)
Sue has a 8 cups of flour and needs to fill it equally in containers that hold 3/4 of a cup each. How many containers can she fill?
Answer: Sue fills 32/3 (Decimal form = 10.6667 containers)
Step-by-step explanation: 8 divided by 3/4 equals 32/3. If you need it in decimal form it's 10.6667
Please heart this or rate it :)
Answer:
10 2/3 containers BUT can only fully fill 10 containers
Step-by-step explanation:
to solve this equation you need to divide 8 by 3/4
8 / 3/4
that is
8/1 / 3/4
when dividing fractions you must flip the second number and multiply both numbers together
8/1 * 4/3
32/3 is your answer
or
10 2/3
she can fully fill 10 containers
When the chef turned the new freezer on, the temperature on the internal thermometer was 2 °C.
After breakfast had been served, the temperature had gone down by 15 °C.
What was the new temperature?
Answer: -13 °C.
Step-by-step explanation:
Helpppppppppp
Urgenttttt
Pleaseeeee!
Answer:
The first set is a set of linear equations.
The way to figure this out is pretty easy. If you want to see it visually, go search up desmos graphing calculator and put in these equations.
A linear equation is a function that has a constant slope, meaning that the rate it increases or decreases will never change. The first one is a set of linear equations because it is 2 equations with constant slopes, meaning that the slopes will never change no matter what y and x are.
The second set is not, because while the first equation is linear, the second is an inequality. While it is a straight line, it doesn't count as a linear equation.
The third set, both equations have exponents on the x, which means that the slope will change depending on x. This means that both of these are not linear equations.
The only set that is a linear set is the one that has only linear equations.
fx(7)(87x+7y)(5)⁴is equal to the root of?
About one eighth of the population is left-handed. In what size school would you expect to find about 50 left-handed students?
Answer:
400 students, 1/8 are left handed
Step-by-step explanation:
Acasa Insurance Company offers several plans for home insurance.
Plan A has a $700 yearly premium with a $3,000 deductible.
Plan B has a $1,200 yearly premium with a $1,000 deductible.
The average payout by the insurance company for a fire claim is $27,000. Suppose 5% of the claims were for fire damage. What would Acasa's expected value (loss or gain) be per customer who chooses plan A
Acasa's expected value loss be per customer who chooses plan A
Assumption
Fill customers choose plan A
The average payout is the same for plans A & B
Expected value = net payment in -Net payment out
⇒ 1000% × 700$ - 5% ×[27000$ - 3000$]
⇒ 700$ - 1200$
⇒ -500$
What are a profit and loss?
A profit and loss statement is a record of revenue and expenses incurred by a business in a given period of time. A profit and loss statement is also called a P&L, an income statement, a statement of profit and loss, and income and expense statement, or a statement of financial results.
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What’s 1,234,320 rounded to the nearest thousand
Answer:
4,000
Step-by-step explanation:
Rounding rule:
"4 or less, round down / keep the same."
"5 or more, round up."
Since the hundreds place has a 3, that means we round the thousands place to 4,000, because the hundreds place is lower than 5.
Please help show work pamdas
The solution by substitution of values to 4 ) is ( - 8 ) / 14 and 6 ) is - 213 .
4 ) Using substituition
By replacing values of c and d in given equation
( 5 [tex]c^{2}[/tex] - [tex]d^{2}[/tex] + 3 ) / ( 2 c - 4 d )
c = - 1 and d = - 4
( 5 [tex]( - 1 )^{2}[/tex] - [tex]( - 4 )^{2}[/tex] + 3 ) / ( 2 ( - 1 ) - 4 ( - 4 ) )
= ( 5 - 16 + 3 ) / ( - 2 + 16 )
= ( - 8 ) / 14
6 ) Using substituition
By replacing values of x and y in given equation
3 [tex]| x + y |^{2}[/tex] - [tex]( x y )^{2}[/tex]
x = 3 and y = - 5
3 [tex]| 3 + ( - 5 ) |^{2}[/tex] - [tex]( 3 * ( - 5 ) )^{2}[/tex]
( 3 * 4 ) - 225
= - 213
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The histogram shows the number of miles driven by a sample of automobiles in New York City. What is the class width
The class width of the histogram is 5000.
What is class width?It should be noted that the class width is the distance that can be found between the lower limits of consecutive classes.
The range is the difference between the maximum and minimum data entries.
class width of a histogram is given by the equation
Therefore, class width:
= maximum of a class - minimum of a class
In the given histogram, first-class start at 2500 and ends at 7500..Therefore considering first class,.minimum =2500 and maximum=7500.
Therefore, class width will be:
= 7500-2500
= 5000
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73 term for the arithmetic sequence 18,30,42
The 73rd term of the arithmetic sequence 18,30,42 = 882.
What is arithmetic sequence ?An arithmetic sequence seems to be a series of numbers that are ordered and share a common difference amongst each succeeding term. There are arithmetic sequences 3, 9, 15, 21, and 27, for example, the common difference is 6. An arithmetic progression is another name for an arithmetic sequence.
What does not constitute an arithmetic sequence?The sequence is not arithmetic if the difference between subsequent terms is not constant. Subtracting two consecutive elements from the sequence yields a common difference.
According to the given data:Let us now look for the explicit rule for with this arithmetic sequence. We have the following:
aₙ = a₁ + (n - 1) * d
= 18 + 12 * (n - 1)
= 12n + 6.
The 73rd term is 12 (73) + 6 = 882.
The 73rd term of the arithmetic sequence 18,30,42 = 882.
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The average temperature in the mountains is 61° in April. The average temperature in that same spot is −2° in December. Determine how much warmer this location is in April than in December, and determine which temperature is the farthest away from 0°.
Answer: 59 degrees warmer and -2 is farther away form 0 than 61 degrees.
Step-by-step explanation: 59+2=61 so, that's how I got the answer. The rest is really easy.
The absolute value of 61°F is greater than the absolute value of 2°F. Therefore, the temperature of 61°F in April is the farthest away from 0°F.
To determine how much warmer the location is in April than in December, you can calculate the difference between the two temperatures:
Temperature difference = April temperature - December temperature
Temperature difference = 61°F - (-2°F)
Temperature difference = 61°F + 2°F
Temperature difference = 63°F
So, the location is 63 degrees Fahrenheit warmer in April than in December.
To determine which temperature is the farthest away from 0°F, you can calculate the absolute value of the difference between each temperature and 0°F and then compare them:
Absolute value of (61°F - 0°F) = 61°F
Absolute value of (-2°F - 0°F) = 2°F
The absolute value of 61°F is greater than the absolute value of 2°F. Therefore, the temperature of 61°F in April is the farthest away from 0°F.
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Completely stumped. If anyone can help, that would be greatly appreciated! Picture below.
Using translation concepts, we have that the table of values for the function p(x) = x - 7 is given by:
x = -2, p(x) = -9.x = -1, p(x) = -8.x = 0, p(x) = -7.x = 1, p(x) = -6.x = 2, p(x) = -5.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
In this problem, the parent function is:
y = f(x).
A translation down 7 units is represented by a subtraction by 7 in the range, that is:
p(x) = f(x) - 7 = x - 7.
The numeric values to be inserted in the table are given by:
x = -2, p(x) = -9.x = -1, p(x) = -8.x = 0, p(x) = -7.x = 1, p(x) = -6.x = 2, p(x) = -5.In the graph at the end of the exercise, both functions are shown.
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A ball thrown horizontally at v₁ = 30.0 m/s travels a horizontal distance of d = 57.0 m before hitting the
ground. From what height h was the ball thrown?
Answer:
17.7 m
Step-by-step explanation:
57 m / 30 m/s = time in the air = 1.9 s
vertical drop for 1.9 s
vertical d = 1/2 a t^2 = 17. 7 m
7/5 fracción simplificada
Answer:
1,4
Step-by-step explanation:
7/5
Esto es una división, solo divide y ya
Compare the square root of one hundred forty and one hundred five ninths using <, >, or =.
square root of one hundred forty is greater than one hundred five ninths
square root of one hundred forty is equal to one hundred five ninths
one hundred five ninths is greater than square root of one hundred forty
square root of one hundred forty is less than one hundred five ninths
The square root of one hundred forty is less than one hundred five ninths. So, option D is correct.
According to this question we have to compare the square roots of both numbers One Hundred Forty and One Hundred Five Ninths. So, we have to calculate their square roots.
The square root of One hundred Forty: √140
The square root of One hundred Forty: 11.832
The square root of One Hundred Five Ninths: √159
The square root of One Hundred Five Ninths: 12.609
Comparing both of their square roots we can clearly see that :
(11.832) < (12.609)
The square root of 140 < Square root of 159
Hence, option D is correct. The square root of 140 is less than 159.
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what is 4.32 x 10^4 written in standard form
Answer:
43,200
Step-by-step explanation:
4.32 x 10∧4
10 x 10 x 10 x 10
4.32 x 10000
43,200
David and John own 37-1/2 acres of land. David owns 3/5 and John owns 2/5 of the land. They decide to section it off into ¾ acre lots to rent out as garden space for people who do not have garden space at their homes. The price for the entire summer for the rent of each lot is $50. Since there is no water supply to water the gardens, David and John have asked their renters if they would like a 100-gallon water tank or a 70-gallon water tank. 60% of the renters chose 100 gallons and 40% chose 70 gallons. David calculated that they would need to fill each tank 2 times and the cost of a gallon of water is $.05.
The total spent amount on water is $220
The total area is 37.5=75/2
The number of lots is 75/2/3/4=50 nos
Total rent is 50×50=2500
So 3/5 will go to david 2500×3/5=1500
2/5 will go to john 2500×2/5=1000
So 60% Renters choose 100 gallons
Total renters is 50
60% renters is 50×60%=30 nos
40% renters choose 70 gallons
40% of 50 is 20 nos
The tank fills twice
100×30+70×20=4400 to be filled
Per gallon cost is $0.05
So the total cost is 4400×0.5=$220
So they spent $220 on water
A fraction shows part of a whole. This entire may refer to a place or a group of places.A fraction can be a portion or section of any quantity out of a whole, where the whole can be number of any value.To learn more about fraction visit:
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A chemist is using 357 milliliters of a solution of acid and water. If 18.1% of the solution is acid, how many milliliters of acid are there? Round your
answer to the nearest tenth.
milliliters
If 18.1 percent of the solution is acid, 64.07 milliliters of acid are there.
What is a percentage?
Percentage, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.Multiplying this fraction by 100 and adding a percent sign will get the percentage. Percentage Equals 100 * numerator / denominator.As per the question,
18.1 Percent of 357 ml of solution used is acid, therefore,
=(18.1/100)*357
= 64.07 ml of acid
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Which characteristics are appropriate for the Brand of camcorder? Choose all that apply
Question options:
O Nominal
O Scale
O String
O Numeric
Answer:
numeric
Step-by-step explanation:
Write the symbolic statement in words. Use p, q, r, s, t, and u as defined below.
p: The tour goes to Italy.
q: The tour goes to Spain.
r: We go to Venice.
s: We go to Florence.
t: The hotel fees are included.
u: The meals are not included.
r → ~s
We go to Florence and we do not go to Venice.
We go to Venice if and only if we do not go to Florence.
We go to Venice and we do not go to Florence.
If we do not go to Florence, then we will go to Venice.
If we go to Venice, then we will not go to Florence.
The definition of the symbolic statement r → ~s is:
If we go to Venice, then we will not go to Florence.
What is the definition of the given symbolic statement?First, we have to look at the definition of the events.
Event r means that the person goes to Venice.Event s means that the person goes to Florence, hence event ~s means that the person does not go to Florence.The operation → is a implication operation, hence a → b is: if a then b.In this problem, the statement is:
If r then not s.
Considering events r and s, the correct option is:
If we go to Venice, then we will not go to Florence.
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Solve for x
7/8 of x is 14
Answer:
x =16Step-by-step explanation:
Solve for x
7/8 of x is 14
7/8x = 14
x = 14 : 7/8
x = 14 * 8/7
x =16
----------------
check
7/8 * 16 = 14
14 = 14
the answer is good
Michael is arranging 14 cans of food in a row on a shelf. He has 5 cans of carrots, 1 can of beets, and 8 cans of corn. In how many distinct orders can the cans be arranged if two cans of the same food are considered identical (not distinct)?
18018
Given:
Number of cans = 14
Number of cans of carrots = 5
Number of cans of beets = 1
Number of cans of corn = 8
When there are n objects to be arranged in order, out of which r1 objects are of one kind, r2 objects are of another and so on, then the number of different arrangement is given as:
[tex]\frac{n!}{r_{1!*rx_{2 }! }.......r_{n} ! }[/tex]
n=14, r1= 5 ,r2=8
therefore 14!/(5!*8!)
=18,018
Therefore, the distinct orders in which the cans can be arranged is 18018
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why do you multiply 10 by the repeating decimal to make a fraction.
Solution :
Repeating or recurring decimals :
Repeating or recurring decimals are those decimal expansions that do not terminate or end after a specific number of digits. Such numbers have an infinite number of digits after the decimal point. And there is a repetitive pattern in those digits.
Decimal numbers can be converted to fractions by dividing the number with a power of 10 which is equal to the number of decimal places. For example, 1.5 = 15/10 = 3/2. But with repeating decimals, it is impossible to count the number of decimal places as it is infinite. So, there are some specific steps to be followed to convert repeating decimals to fractions.
The repeating decimal to fraction steps of conversion are given below:
Step 1: Identify the repeating digits in the given decimal number.
Step 2: Equate the decimal number with x or any other variable.
Step 3: Place the repeating digits to the left of the decimal point by multiplying the equation obtained in step 2 by a power of 10 equal to the number of repeating digits. This way you will get another equation.
Step 4: Subtract the equation obtained in step 2 from the equation obtained in step 3.
Step 5: Simplify to get the answer.
Let us take an example to understand the conversion of repeating decimals to fractions in a better way. Convert 0.77777... to a fraction.
Step 1: We can observe that 7 is repetitive in the given decimal number.
Step 2: Let x = 0.7777...
Step 3: There is only 1 repetitive digit, so multiply this equation by 10. We get, 10x = 7.7777...
Step 4: Subtract x = 0.7777... from 10x = 7.7777... We will get 9x = 7.
Step 5: x = 7/9. Therefore, 0.7777... = 7/9.
Hence,
you multiply 10 by the repeating decimal to make a fraction
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graph the linear inequality 9x-y<9
The line has a slope of 9 and y-intercept of -9
Linear inequality graphA linear equation is a equation that has a linear degree of 1.
Given the inequality expression 9x-y<9
Write in slope-intercept form
-y < -9x + 9
y > 9x - 9
From the equation, we can see that the line has a slope of 9 and y-intercept of -9
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Determine the domain of the following graph
the domain of the following graph= [-5,10)
Domain :
The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined. In the function machine metaphor, the domain is the set of objects that the machine will accept as inputs.
For example, when we use the function notation f: R→R, we mean that f is a function from the real numbers to the real numbers. In other words, the domain of f is the set of real numbers R (and its set of possible outputs or codomain is also the set of real numbers R).
To, identify the domain and range of functions by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the
x-axis. The range is the set of possible output values, which are shown on the
y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.
We can observe that the horizontal extent of the graph is -5 to 10, so the domain of f is [-5,10)
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Find two numbers which differ by 4 and whose product is 45
Answer:
The two solutions are
5 and 9
-5 and -9
Step-by-step explanation:
Let x and y be the numbers
x-y = 4
x*y = 45
Using substitution
x = 4+y
(4+y)y =45
4y + y^2 = 45
Subtract 45 from each side
y^2 +4y -45 =0
Factor
(y - 5) ( y+9) = 0
Using the zero product property
y -5 =0 y+9 =0
y=5 y = -9
Now we can find x
y=5
x = 4+y
x =4+5
x=9
y = -9
x = 4+y
x = 4+-9
x = -5
The two solutions are
5 and 9
-5 and -9
amber has a 4/5 pound bag of colored sand she use 1/2 of the bag for an art project how much sand does she use for the project
The left over sand is a 3/10 bag of the colored sand.
According to the statement
We have to find that the how much sand does she use for the project.
So, For this purpose, we know that the
Left over is a something that remains unused or unconsumed
From the given information:
amber has a 4/5 pound bag of colored sand she use 1/2 of the bag for an art project
then it means
Total sand is = 4/5 pound bag of colored sand
Used sand is = 1/2 of the bag of colored sand
Then
Left over sand is = Total sand - Used sand
Left over sand is = 4/5 - 1/2
Left over sand is = 8 - 5/10
Left over sand is = 3/10.
So, The left over sand is a 3/10 bag of the colored sand.
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