Answer: x<2
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
hope this was helpful!! - hailey_ <3 :)
3 12. DIG DEEPER There are 4 cups of iced tea. Is it possible for you and your friend to share the tea equally? If so, how much do you each get? If not, explain why not. 5 MTR Use Another Concept How can equivalent fractions help you solve? C
It Is possible for you and your friend to share the iced tea equally. Each of you gets two cups each.
Equivalent fraction can help solve the problem. 4/2 = 2/1
How much do you each get?Number of cups of iced tea = 4
Number of people sharing iced tea = 2(you and your friend)
Number of cups each person gets = Number of cups of iced tea / Number of people sharing iced tea
= 4/2
= 2 cups of iced tea per person.
The fraction is 4/2 which is equivalent to 2/1
Ultimately, each person can get two cups of iced tea each.
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Anyone know the answer to this question?
Answer:
m<1 = m<2 = 98
Step-by-step explanation:
the measurement of angle 1 and 2 are the same because the two triangle half's (top and bottom) of the polygon are congruent.
any 4 sided polygon has sums of their internal angles = 360 degrees.
(for example a square has four 90 degrees angles, 360=90+90+90+90)
we know that 2 angles are 90 and 74,
we also know that the 2 other angles (m<1 and m<2) are the same,
m<1 +m<2 +90 +74=360
m<1+m<2=360-90-74
2*m<1=196
m<1=196/2
m<1=98
m<2=98
0.53 was rounded to 2 significant figures.
What is the upper bound?
Answer:
0.535
Step-by-step explanation:
The place value when rounded to 2 significant figure of this number is hundredth ( 0 . 5 3 )
Find the half of a hundredth.
0.01 ÷ 2 = 0.005
Now add 0.005 to 0.53
0.53 + 0.005 = 0.535
Upper bound = 0.535
Just an answer and simple explanation! Thank you.
Answer:
15
Step-by-step explanation:
If CD and DE equal, then x+6 = 4x -21
So if you subtract x from both sides and plus 21 to both sides, that would be 3x = 27. Divide by 3 on both sides and you get 9.
Plug in x+6 with 9 and you get 15.
if x = y and y = z, then x = z
Answer:
that is correct.
Step-by-step explanation:
x=y=z
so x=z
Answer:
yes.
Step-by-step explanation:
Taylor would like to have a karaoke deejay at her graduation party. her three sisters volunteered to split the cost of hiring the deejay. they need to rent a tent for $45 and a microphone system for $60 and then pay the deejay $30 an hour for four hours. how much do each of the sisters owe?
write out all the work used to determine the answer to the question.
Each of the three sisters owes $75 to cover the cost of hiring the karaoke deejay for Taylor's graduation party.
To determine how much each sister owes, we need to first calculate the total cost of the party and then divide that cost by three, since there are three sisters splitting the cost.
1. Tent rental: $45
2. Microphone system: $60
3. Deejay cost: $30/hour × 4 hours = $120
Now, we'll add these costs together to find the total cost:
Total cost = $45 (tent) + $60 (microphone) + $120 (deejay) = $225
Finally, we'll divide the total cost by the number of sisters (3) to find out how much each sister owes:
Amount owed per sister = $225 (total cost) ÷ 3 (sisters) = $75
So, each sister owes $75 for the karaoke deejay at Taylor's graduation party.
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Several friends (Calvin, Dean, Kelli, and Lee) went to Cal's Late Night Diner for a bite to eat. Match each person to their drink (Iced tea, Lemonade, Root Beer, and Water) and determine how much each paid ($4.99, $5.99, $6.99, and $7.99) for their meal.
Clues:
1. The Diner who paid $4.99 was either Calvin or the one who got the Root Beer.
2. Kelli paid $6.99
3. The one who got the water paid 1 dollar less than Dean.
4. Calvin paid more than Lee.
5. The one who got the Root beer paid 1 dollar less than the one who got the Iced Tea.
Based on the given clues, we can determine the person, drink, and price paid for each individual:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
How to determine how much each friends paidFrom clue 1, we know that either Calvin or the person who got the Root Beer paid $4.99. Since Calvin paid more than Lee according to clue 4, Calvin cannot be the one who got the Root Beer. Therefore, Calvin paid $4.99.
From clue 2, Kelli paid $6.99.
From clue 3, the person who got the water paid $1 less than Dean. Since Dean paid the highest price, the person who got the water paid $1 less, which means Lee paid $5.99.
From clue 5, the person who got the Root Beer paid $1 less than the person who got the Iced Tea. Since Calvin got the Root Beer, Lee must have gotten the Iced Tea.
Therefore, the final assignments are:
Calvin: Root Beer, $4.99
Dean: Lemonade, $7.99
Kelli: Water, $6.99
Lee: Iced Tea, $5.99
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The figure below is a rectangular shipping box.
Name two different planes that contain AD.
→
B
C
IEEE
♡
D
|
|
F
1
-
-
G
E
H
ਸਹੀ ਸੀ।
ਵਕ ਸ਼ਕਤੀ
The top face (BCD) and the front face (EHD) both contain the line segment AD.
Answer: Choice BHow much greater is the sum of the first 50 counting numbers greater than the sum of the first 100 counting numbers?.
The difference between the sum of the first 50 counting numbers and the sum of the first 100 counting numbers is 3775.
Here we have to find the difference between the first 50 counting numbers and first 100 counting numbers.
Formula to find the sum of the number n is:
\(S_{n}\) = n/2( 2a + (n-1)d)
a = first number of the series
d = common difference
n = number of series
Sum of first 50 counting numbers:
\(S_{50}\) = 50/2( 2× 1 + (50-1) 1)
= 25 × 51
= 1275
Sum of first 100 counting numbers:
\(S_{100}\) = 100/2 ( 2×1 + (100- 1) 1)
= 50 × 101
= 5050
Now the difference between them:
\(S_{100}\) - \(S_{50}\) = 5050 - 1275
= 3775
Therefore the difference is 3775.
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100 points what is a $499.00, $579.00, $364.99 and a $749.00 purchase with 7.5% sales tax
Answer:
$499.00 - 7.5% tax = $536.43
$579.00 - 7.5% tax = $622.43
$364.99 - 7.5% tax = $392.36
$749.00- 7.5% tax = $805.18
Nancy generates a two-digit integer by rolling a six-sided die twice. The result of her first roll is the tens digit, and the result of her second roll is the ones digit. What is the probability that the resulting integer is divisible by
The probability comes out to be 1/6.
Given that Nancy generates a two-digit integer by rolling a six-sided die twice.
The result of her first roll is the tens digit, and the result of her second roll is the ones digit. We are to find the probability that the resulting integer is divisible by 3.
There are 6 possible outcomes for each roll, so there are 6 × 6 = 36 possible outcomes for rolling a die twice. Let the first die roll be the tens digit, and the second be the ones digit.
The two-digit numbers we can form by rolling a six-sided die twice are: {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}.
Here, We have 36 outcomes; in the above set, there are 6 numbers that are divisible by 3. The six numbers which are divisible by 3 are: {12, 15, 21, 24, 33, 36}.
Therefore, the probability of generating a two-digit integer by rolling a six-sided die twice and that the resulting integer is divisible by 3 is 6/36, which can be simplified to 1/6.
Therefore, the probability is 1/6.
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The center and a point on a circle are given. Find the circumference to the nearest tenth.
center:(−15, −21);
point on the circle: (0, −13)
The circumference is about ???
Answer:
Circumference ~ 233.7
Step-by-step explanation:
Use the distance formula to find the radius of the circle with the two coordinates given. The radius of this circle is about 37.2. Plug 37.2 into the formula 2(pi)r to find the Circumference. The answer is 233.7 rounded to the nearest tenth.
Find the coordinates of the orthocenter of ΔA B C with vertices A(-3,3), B(-1,7) , and C(3,3)
The orthocenter of the ΔABC is ( -1,5 ).
What is orthocenter?In a right triangle, the orthocenter is the polygonal vertex of the right angle. When the triangle's vertices and orthocenter are joined, any point becomes the orthocenter of the other three points, according to Carnot (Wells 1991). These four locations thus form an orthocentric system.
Given the co-ordinates A( -3,3 ), B( -1,7 ) and C( 3,3 ).
To find the orthocenter using below steps:
1. First, we find the equations of AB and BC.
The general form of a line is y = mx + b
where m is the slope and b is the y-intercept.
Using the formula of slope given \($m =\frac{y_2 - y_1}{x_2 - x_1}\) , we will find the slope of AB and BC.
Now, slope of AB is m = (7-3/-1 + 3)
i.e. m = (4/2) = 2
Putting this 'm' in the general form and using the point B(-1, 1), we get the y-intercept as,
y = mx + b
1 = 2 × (-1) + b
i.e. b = 3.
So, the equation of AB is y = 2x + 3.
Also, slope of BC is m=(3-7/3+1) i.e. m=-4/4 i.e. m--1
Putting this 'm' in the general form and using the point B( -1,1 ), we get the y-intercept as,
y = mx + b i.e. 1 = (-1) × (-1) + b i.e. b = 0.
So, the equation of BC is y = -x.
2. We will find the slope of line perpendicular to AB and BC.
When two lines are perpendicular, then the product of their slopes is -1.
So, slope of line perpendicular to AB is \(m*2=-1\) i.e. m = -1/2
So, slope of line perpendicular to BC is i.e.\(m*-1=-1\) i.e. m = 1.
3. We will now find the equations of line perpendicular to AB and BC.
Using the slope of line perpendicular to AB m=-1/2 i.e. and the point opposite to AB
i.e. C(3, 3), we get,
y = mx + b
i.e. \(3=-1/2*3+b\)
i.e. b = 9/2
So, the equation of line perpendicular to AB is
\(y=-x/2+9/2\)
Again, using the slope of line perpendicular to BC i.e. m = 1 and the point opposite to BC
i.e. A( -3,3 ), we get,
y = mx + b
i.e. 3 = 1 × -3 + b
i.e. b = 6.
So, the equation of line perpendicular to BC is y = x+6
4. Finally, we will solve the obtained equations to find the value of (x, y).
As, we have y = x + 6 and y = -x/2 + 9/2
This gives, y = -x/2 + 9/2 → x + 6
y = -x/2 + 9/2
simplifying the above equation, we get
2x + 12 = -x + 9
3x = -3
x = -1.
So, y = x + 6
simplifying the above equation, we get
y = -1 + 6
y = 5.
The value of x = -1 and y = 5.
Hence, the orthocenter of the ΔABC is ( -1,5 ).
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Select the number property that will justify the step in the following expression. 2(5 • 17) = (2 • 5) 17 = 10 • 17 = 170
On solving the query we can say that This stage consists just of arithmetic multiplication and does not include any specific properties of numbers.
what is function?Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
The expression's step is justified by the distributive property. The distributive property of multiplication over addition asserts that for any three integers a, b, and c, a(b + c) = ab + ac. This is the particular property we are employing.
Here are the facts:
2(5 + 17) = 2(5) + 2(17)
which is equivalent to:
2(5 • 17) = (2 • 5) 17
The distributive principle of multiplication over addition is used in this phase.
Then, we further simplify by multiplying 2 by 5 to get 10, which results in:
(2 • 5) 17 = 10 • 17 = 170.
This stage consists just of arithmetic multiplication and does not include any specific properties of numbers.
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On solving the query we can say that This stage consists just of arithmetic multiplication and does not include any specific properties of numbers.
What is function?
Mathematics is concerned with numbers and their variations, equations and related structures, shapes and their places, and possible placements for them. The relationship between a collection of inputs, each of which has an associated output, is referred to as a "function". An relationship between inputs and outputs, where each input yields a single, distinct output, is called a function. Each function has a domain and a codomain, often known as a scope. The letter f is frequently used to represent functions (x). X is the input. The four main types of functions that are offered are on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
The expression's step is justified by the distributive property. The distributive property of multiplication over addition asserts that for any three integers a, b, and c, a(b + c) = ab + ac. This is the particular property we are employing.
Here are the facts:
2(5+17)=2(5) + 2(17)
which is equivalent to:
2(5+17)= 44
The distributive principle of multiplication over addition is used in this phase. Then, we further simplify by multiplying 2 by 5 to
get 10, which results in:
(2×5) 17 = 10× 17 = 170.
This stage consists just of arithmetic multiplication and does not include any specific properties of numbers.
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For 250 points and brainiest......
Order the following number from least to greatest
1. -7, 0, -5
2. -3, -2, 10
3. -18.5, 18, -12.5
4. 26, -20, -24.5
Answer:
1.) -7,-5,0
2.)-3,-2,10
3.)-18.5,-12.5,18
4.)-24.5-20,26
Step-by-step explanation:
Here is the order
-7<-5<0#2
-3<-2<10#3
-18.5<-12.5<18#4
-24.5<-20<26Find the average cost function if cost and revenue are given by C(x) = 131 +7.4x and R(x) = 8x -0.01x². The average cost function is C(x) =
The profit is maximized when quantity reaches 200 and average cost function is C(x) = 131/x + 7.4.
Given that cost and revenue are given by C(x) = 131 + 7.4x and R(x) = 8x - 0.01x², we have to find the average cost function.
Average cost function is given as; AC(x) = C(x)/x
The total cost is given by;C(x) = 131 + 7.4x
The total revenue is given by;
R(x) = 8x - 0.01x²
The quantity is given by x;
Average cost function is given by;
AC(x) = C(x)/x= (131 + 7.4x) / x= 131/x + 7.4
Let's verify this using calculus;
C(x) = 131 + 7.4xR(x) = 8x - 0.01x²
The profit is given by;
P(x) = R(x) - C(x)
P(x) = (8x - 0.01x²) - (131 + 7.4x)
P(x) = -0.01x² + 0.6x - 131
The marginal revenue (MR) is the derivative of R(x);
MR = dR(x) / dx
MR = 8 - 0.02x
The marginal cost (MC) is the derivative of C(x);
MC = dC(x) / dx
MC = 7.4
The profit is maximized when MR = MC;
8 - 0.02x = 7.4x = 200
The quantity is 200.
The average cost function is;
AC(x) = C(x)/x= (131 + 7.4x) / x= 131/x + 7.4
Therefore, the average cost function is C(x) = 131/x + 7.4.
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savage/ Savorythe meaning of these words are a. Similarb. Contradictory c. Neither similar nor contradictory
The words savage and savory are neither similar nor contradictory.
What is Contradiction?Contradiction is a term used to indicate mutually opposite things. It is commonly used in statements where both the statements cannot be true.
Savage is a word the meaning of which is wild or non cultivated in a context as an adjective. In another context, savage can be used as a noun to define an uncivilized or a brutal human.
On the other hand, savory is a completely different term which is used to define the taste of the dishes, typically in a positive way.
Hence the terms savage and savory are neither similar nor contradictory words.
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they communicative property applies to subtraction true or false PLEASE HELP ME I’M STRUGGLING
Answer:
True
Step-by-step explanation:
1/3r + 1/6 = 5 5/6
solve this?
Answer:
r=17
Step-by-step explanation:
Answer:
r=17
Step-by-step explanation:
1/3r+1/6= 35/6 (5 5/6)
35/6-1/6= 34/6 (5 4/6 or 5 and 2/3)
1/3r= 34/6 (5 4/6)
3*(1/3)r= (34/6)*3
r=17
which of the following give chart elements a realistic, three-dimensional look? A. axis•B. chart area•C. legend•D. plot area
The chart element that gives a realistic, three-dimensional look is D. plot area.
In a chart, the plot area is the area where the actual chart data is plotted. It is the main part of the chart where the lines, bars, or other data markers are displayed. To give a chart a realistic, three-dimensional look, shading and depth are applied to the plot area. This creates the illusion of depth and makes the chart appear more visually appealing and easier to read. The axis, chart area, and legend do not typically have a three-dimensional appearance, as they are typically two-dimensional elements that provide information about the chart data rather than displaying the data itself.
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i need help with this
The measure of ∠V of the parallelogram is = 150.5°
What is a Parallelogram?A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure
The four types are parallelograms, squares, rectangles, and rhombuses
Properties of Parallelogram
Opposite sides are parallel
Opposite sides are congruent
Opposite angles are congruent.
Same-Side interior angles (consecutive angles) are supplementary
Each diagonal of a parallelogram separates it into two congruent triangles
The diagonals of a parallelogram bisect each other
Given data ,
Let the measure of the angle ∠Y = 10x + 27
Let the measure of the angle ∠W = 2x + 29
Now , for a parallelogram the opposite sides are congruent and opposite angles are congruent
Substituting the values in the equation , we get
10x + 27 = 2x + 29
Subtracting 2x on both sides of the equation , we get
8x + 27 = 29
Subtracting 27 on both sides of the equation , we get
8x = 2
Divide by 8 on both sides of the equation , we get
x = 1/4
Let the measure of the angle ∠Y = 10 ( 1/4 ) + 27
Let the measure of the angle ∠Y = 2.5 + 27
Let the measure of the angle ∠Y = 29.5°
Now , same-side interior angles (consecutive angles) are supplementary
Substituting the values in the equation , we get
angle ∠Y + angle ∠V = 180°
29.5° + m∠V = 180°
Subtracting 29.5 on both sides of the equation , we get
m∠V = 150.5°
Hence , the measure of m∠V = 150.5°
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What are the 10 recommended tips for cyber security?
Cyber safety is the use of information and communication technologies in a responsible and safe manner. It involves protecting information and keeping it secure, but it also entails handling information responsibly, showing consideration for others online, and following proper internet etiquette.
The Essential Eight are a collection of eight mitigation techniques: application control, application patching, configuring Microsoft Office macro settings, user application hardening, limiting administrative rights, operating system patching, multi-factor authentication, and regular backups.
Best Cybersecurity Advice for 2023:
Update your software.To avoid opening shady emails.Maintain current hardware.Encrypt data using a safe file-sharing program.Apply antivirus and anti-malware software.Select strong passwords.Enable two-factor authentication.To protect your connections, utilize a VPN.Before clicking, double-check URLs.Don't use lazily generated passwords.Learn more about cyber security Visit: brainly.com/question/28004913
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plot the numbers -1.5, 3/2,-3/2
The decimal and fraction numbers are shown on the number line.
What is a number line?A number line refers to a straight line in mathematics that has numbers arranged at regular intervals or portions along its width. A number line is often shown horizontally and can be postponed in any direction.
A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.
The numbers are given below.
-1.5, 3/2, and -3/2
Convert the fraction number into a decimal number. Then we have
-1.5, 3/2, and -3/2
-1.5, 1.5, and -1.5
The numbers are shown on the number line.
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90 students went on an activity day.
Complete the two-way table below.
Cycling
Swimming
Total
Males
28
19
Females
32
43
Total
90
One of these students is chosen at random.
What is the probability that this student participated in swimming?
The probability that one random student participated in swimming is 1/90.
What is probability ?
The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences. Simply put, probability is the likelihood that something will occur.
We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics describes the examination of events subject to probability.
Probability = Number of favorable outcomes / Number of total outcomes.
Number of favorable outcomes = 1
Number of total outcomes = 90
So,
Probability = 1/90
Hence, the probability that one random student participated in swimming is 1/90.
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Drag numbers to use a negative factor to factor the expression -59 + 15h - 25. Numbers may be used once, more than once, or not at all.
-1
- 2
-3
4
-5
1
2
3
4
5
la
Answer:
\(-5(g - 3h + 5)\)
Step-by-step explanation:
Given
\(-5g + 15h - 25\)
Required
Factor using a negative factor
Express each term as a factor of -5
\(-5*g - 5*-3h - 5 * 5\)
Factor out -5
\(-5(g - 3h + 5)\)
Hence:
The factored form of \(-5g + 15h - 25\) is \(-5(g - 3h + 5)\)
GIVING BRAINLYYYYYYYYYYYYYY
Nick has to build a brick wall. Each row of the wall requires 62 bricks. There are 10 rows in the wall. How many bricks will Nick require to build the wall?
A.
102 × 6
B.
106
C.
610
D.
10 × 62
Answer:
d, 10 × 62
Step-by-step explanation:
10 rows times 62 bricks
Which situation below correctly represents the algebraic expression 6x – 2?
2
OA)
Tom has 6 children he is taking to the zoo and 2 children decided not
to go.
Tom bought 6 tickets to enter the zoo and he had a coupon for 2
OB)
dollars off the price.
Tom brought enough lunches for six children and he had two left
over.
OD) Tom bought 6 drinks and 2 bags of peanuts.
Answer:
the answer is B. i just took the quiz
i hoped this helped
Answer:yes it is B please give the person above me brainlist
Step-by-step explanation:
Julie eats 11 hotdogs every 2 minutes in a hotdog-eating contest. How many hotdogs will she eat in 6 minutes?
Answer:
33
Step-by-step explanation:
divide 11 by 2 o get the one minute rato which is 5.5
times 5.5 by 6 to get final answer
Explain in your own words the definition of hypotenuse
slope -3/4 and y-intercept 9.
Answer:
The equation would be:
Y=-3/4 + 9
Step-by-step explanation:
Hope it helps.