Answer:
x = 47/10
Step-by-step explanation:
Step 1: Write equation
51 - 14x = 4 - 4x
Step 2: Solve for x
Add 14x to both sides: 51 = 4 + 10xSubtract 4 on both sides: 47 = 10xDivide both sides by 10: x = 47/10Answer:
[tex]\boxed {x = \frac{47}{10}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]51 - 14x = 4 - 4x[/tex]
-Take [tex]4x[/tex] and add it to [tex]-14x[/tex]:
[tex]51 - 14x + 4x = 4 - 4x + 4x[/tex]
[tex]51 - 10x = 4[/tex]
-Subtract [tex]51[/tex] to both sides:
[tex]51 - 51 - 10x = 4 - 51[/tex]
[tex]-10x = -47[/tex]
-Divide both sides by [tex]-10[/tex]:
[tex]\frac{-10x}{-10} = \frac{-47}{-10}[/tex]
[tex]\boxed {x = \frac{47}{10}}[/tex]
So, the value of [tex]x[/tex] is [tex]\frac{47}{10}[/tex].
(-2/5) / (-1 1/4)
HELP HELP HELP HELP
4. a) A load of 1000N can be lifted by applying an effort of
250N. If the load arm is 25cm, calculate the effort arm.
[2.0]
Step-by-step explanation:
load=1000N
effort=250N
load arm=25cm
effort arm=?
Now,
E×E.D=L×L.D
250×E.D=1000×25
E.D=1000×25÷250
E.D=100cm
therefore,effort arm is 100cm.
Juila spends $7.75 on gas for her lawn mower she earns $19.00 mowing her neighbor yard what is juila profit
$12.25
you welcome that the answer
Answer:
11.25$
Step-by-step explanation:
19.00 - 7.75 = 11.25
Marsha’s scores on seven tests were: 82, 78, 77, 93, 85, 91, and 86. What does she need to score on her next test to have an 86 average?
Answer:
The score of her next test is 96
Step-by-step explanation:
If there is a set of data with x terms, then the average is the sum of their values divided by x
Average = sum of values of the x terms ÷ x
We will use this rule to solve the question
∵ Marsha's scores on 7 test were 82, 78, 77, 93, 85, 91, 86
→ Find her total scores on the seven tests
∴ Her total scores = 82 + 78 + 77 + 93 + 85 + 91 + 86 = 592
∴ Her total scores on the 7 tests is 592
∵ Her average score on the 8 test is 86
→ Use the rule of the average to find her total score in the 8 test
∵ 86 = total scores ÷ 8
→ Multiply both sides by 8
∴ 86 × 8 = total scores × 8 ÷ 8
∴ 688 = total scores
∴ Her total scores on the 8 tests is 688
∵ Her total scores on the 7 test = 592
∵ Her total scores on the 8 test = 688
→ The difference between both totals is the score of her next test
∴ The score of her next test = 688 - 592 = 96
∴ The score of her next test is 96
Jonathan's parents told him that for every 5 hours of Academic Prep work he completes, he would be able to play 3 hours of video games. His friend Lucas's parents told their son he could play 30 minutes for every hour of Academic Prep work he completes. If both boys spend the same amount of time on Academic Prep work this week, which boy would get more time playing video games? How do you know? *
Answer: Jonathan spends more time playing video games because 3/5 of the time he is playing video games, while Lucas is only playing thirty minutes out of sixty, which simplifies into 1/2. Jonathan plays 60% of the time and Lucas plays 50%.
Step-by-step explanation:
For the constraints given below, which point is in the feasible region of this maximization problem? 14X+4Y≤28
X−Y≤2
x=−1,y=2.5
x=−1,y=1
x=4,y=2
x=2,y=1
x=1,y=1
The points that lie in the feasible region of this maximization problem are (-1,1) and (1,1).
The given constraints are: 14X + 4Y ≤ 28 and X − Y ≤ 2
In order to determine which of the points belong to the feasible region of this maximization problem, we need to check each point one by one. Let's evaluate each point and check which of the points lie in the feasible region. The points are given as below:x = −1, y = 2.5
The two constraints are:14X + 4Y ≤ 28 and X − Y ≤ 2
For the point (x,y) = (-1,2.5), we have:
14(-1) + 4(2.5) = 7 > 0;
Therefore, the point (-1,2.5) satisfies the first constraint.
Next, we need to check whether the point (-1,2.5) satisfies the second constraint:X − Y = -1 - 2.5 = -3.5 < 2
Since the second constraint is not satisfied, (-1,2.5) is not in the feasible region.
x = −1, y = 1
For the point (x,y) = (-1,1), we have:14(-1) + 4(1) = 10 > 0;
Therefore, the point (-1,1) satisfies the first constraint
.Next, we need to check whether the point (-1,1) satisfies the second constraint:X − Y = -1 - 1 = -2 < 2
Since the second constraint is satisfied, (-1,1) is in the feasible region.
x = 4, y = 2For the point (x,y) = (4,2), we have:14(4) + 4(2) = 64 > 0;
Therefore, the point (4,2) satisfies the first constraint.Next, we need to check whether the point (4,2) satisfies the second constraint:X − Y = 4 - 2 = 2 < 2
Since the second constraint is not satisfied, (4,2) is not in the feasible region.
x = 2, y = 1
For the point (x,y) = (2,1), we have:
14(2) + 4(1) = 32 > 0;
Therefore, the point (2,1) satisfies the first constraint.Next, we need to check whether the point (2,1) satisfies the second constraint:X − Y = 2 - 1 = 1 < 2
Since the second constraint is satisfied, (2,1) is in the feasible region.
x = 1, y = 1
For the point (x,y) = (1,1), we have:
14(1) + 4(1) = 18 > 0;
Therefore, the point (1,1) satisfies the first constraint.
Next, we need to check whether the point (1,1) satisfies the second constraint:X − Y = 1 - 1 = 0 < 2
Since the second constraint is satisfied, (1,1) is in the feasible region.
Hence, the two points that belong to the feasible region are (-1,1) and (1,1).
Therefore, the correct answer is: The points that lie in the feasible region of this maximization problem are (-1,1) and (1,1).
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helpp!!!! i will mark as brainliest!!
solve i and ii ....
Answer: The value of x is 60 and two prime numbers are 2 and 3
Step-by-step explanation:
This is because 2 multiplied by 30 is 60 and 2 and 3 are prime numbers because their only factors are one and themselves.
Answer:
I) the value of X is 60
60=1×_
2×30
3×20
4×15
5×12
6×12
6×10 = 60
ii) 2 and 3 you also can put 5
Hope this helps
brent works at a local pet store when he works 5 hours he earns 25 when he works 10 hours he earns 50 what is the rate per hour
please help!! If the wind is blowing at 20 miles per hour, you can find the wind-chill temperature W (in degrees Fahrenheit) by using the equation W = 1.42T - 38.5, where T is the actual temperature (in degrees Fahrenheit). Solve this equation for T and write a reason for each step. What is the actual temperature if the wind chill temperature is -24.3°F and the wind is blowing at 20 miles per hour? thank you
If the wind chill temperature is -24.3°F, actual temperature of the wind will be 10°F.
Equation for the chill temperature has been given as,
W = 1.42T - 38.5Here, W = Chill temperature
T = Actual temperature
Solve this equation for the value of T,
W = 1.42T - 38.5
W + 38.5 = 1.42T - 38.5 + 38.5 (Add 38.5 on each side)
W + 38.5 = 1.42T
[tex]T=\frac{W+38.5}{1.42}[/tex] (Divide each side by 1.42)
For W = -24.3°F
[tex]T=\frac{-24.3+38.5}{1.42}[/tex] (Substitute the value of W in the equation)
T = 10° F
Therefore, actual temperature will be 10°F if the wind chill temperature is -24.3°F.
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threee teachers share 2 packs of paper equally. how much paper does each person get?
Each person would receive 2x/3 sheets of paper.
How much paper does each person get?To know the amount of paper each person receives, we need to divide the total amount of paper in the packs by the number of teachers.
Given data:
Number of packs of paper = 2
Number of teachers = 3
To get the amount of paper each person gets, we divide the total paper by the number of teachers. Let's say each pack contains "x" sheets. So, the total amount of paper is 2x.
Amount of paper per person:
= Total amount of paper ÷ Number of teachers
= 2x / 3.
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2 (2k – 16) = -30 + 4k – 2
Can anyone help me with this
Answer:
0 =0
Both sides are equal
There are infinite solutions
Step-by-step explanation:
[tex]2 (2k - 16) = -30 + 4k - 2\\\\\mathrm{Subtract\:the\:numbers:}\:-30-2=-32\\2\left(2k-16\right)=4k-32\\\\\mathrm{Expand\:}2\left(2k-16\right):\quad 4k-32\\\\4k-32=4k-32\\\\\mathrm{Add\:}32\mathrm{\:to\:both\:sides}\\\\4k-32+32=4k-32+32\\\\Simplify\\\\4k =4k\\\\\mathrm{Subtract\:}4k\mathrm{\:from\:both\:sides}\\\\4k-4k=4k-4k\\\\Simplify\\\\0=0\\\\\mathrm{Both\:sides\:are\:equal}[/tex]
simplify 5^3/5^7 leaving your answer in index form
Step-by-step explanation:
[tex] \frac{ {5}^{3} }{ {5}^{7} } \\ \\ = {5}^{3 - 7} \\ \\ = {5}^{ - 4} \\ \\ = \frac{1}{ {5}^{4} } [/tex]
Megan and her sister are planning their
16th birthday party and want a band to
come perform. The band charges an $45
deposit and $12.50 per hour they are at the
party. Write the equation that best
represents the relationship for y, the total
amount spent at the party, and x the
number of hours the band performed.
Answer: y = 12.50x + 45
Step-by-step explanation:
if x is the number of hours and you pay $12.50 per hour then we can come up the expression 12.50x
You will be charge $45 as an initial fee so it will be 12.50x + 45 and that has to equal the total cost which is y.
y = 12.50x + 45
Marcel earns a salary of $30,000 per year. What is his monthly salary?
Answer:
$2,500
Step-by-step explanation:
divide 30,000 by 12 since there are 12 months in a year.
30000/12=2500
What transformation of the parent function f(x) is made to get _ f(3x)? A a vertical stretch by 3 B.a vertical stretch by 1/3 C.a horizontal shrink by 3 D. a horizontal shrink by 1/3
The transformation of the parent function f(x) that is made to get f(3x) is a horizontal shrink by 1/3.The answer should be D.
The transformation of the parent function f(x) that is made to get f(3x) is a horizontal shrink by 1/3. Main answer:The given parent function is f(x).
The new function that we have to find is f(3x).
We know that the general form of a horizontal shrink is given by:f(x/a), where a is the horizontal shrink factor. We substitute 3 for a because 3 is the shrink factor that gets us from x to 3x.
Therefore,f(x/3) = f(3x)Thus, the transformation of the parent function f(x) that is made to get f(3x) is a horizontal shrink by 1/3.The answer should be D.
e can make use of the horizontal and vertical transformations to describe a transformation of the graph of a function. The horizontal transformation can be represented by the expression f(x - a) or f(x + a), while the vertical transformation can be represented by the expression f(x) + b or f(x) - b.
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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation to the value of a that makes the equation true.
Answer:
1, 4, 3, 2Step-by-step explanation:
2a + 3(a + 1) = 82a + 3a + 3 = 85a = 5a = 1-----------------------
3a - 2a - 4 = 0a - 4 = 0a = 4-----------------------
6(2a - a + 1) = 246(a + 1) = 24a + 1 = 4a = 3-----------------------
4 + 3(a + 2) = 164 + 3a + 6 = 163a + 10 = 163a = 6a = 2[tex] \LARGE{ \underline{ \blue{ \rm{Required \: answer:}}}}[/tex]
What to do?
We have to solve the equations and find the out the value of a in each case. Accordingly we have to drag the value of the equation.
1) 2a + 3(a + 1) = 8
⇒ 2a + 3a + 3 = 8
⇒ 5a + 3 = 8
⇒ 5a = 5
⇒ a = 5/5 = 1
Drag the tile with number 1 on the top.
2) 3a - 2a - 4 = 0
⇒ a - 4 = 0
⇒ a = 4
Drag the tile with number 4 on the top.
3) 6(2a - a + 1)= 24
⇒ 2a - a + 1 = 4
⇒ a + 1 = 4
⇒ a = 3
Drag the tile with number 3 on the top.
4) 4 + 3(a + 2) = 16
⇒ 3(a + 2) = 12
⇒ a + 2 = 12/3 = 4
⇒ a = 2
Drag the tile with number 2 on the top.
PLEASE HELP
What is the slope of a line that is perpendicular to the graph of y =1/2x +9?
Is this relation a function?
yes
no
Answer:
no
Step-by-step explanation:
2 points have the same "x"
PLEASE HELP
Explain how you can use SSS, SAS, ASA, OR AAS with the definition of congruence to prove the statement true
Answer:
D, AAS.
Step-by-step explanation:
So basically the a's and s' mean angle and side. this means that if there is a line on both of the triangles on one side this means that those sides of the triangle are congruent. this is the same case with the angles. if you were to have one congruent side inbetween two congruent angles, you would use ASA, which stands for angle side angle, to prove that the triangles are congruent. some more examples are:
side, side, angle =SSA.
angle, angle side = AAS. (the problem in question)
hope this helps :)
The answer is option C)
What is the AAS congruence rule?If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent. This is the AAS congruence rule.
Given here in ΔVTY and ΔWYX
VY = WX , ∠VYT = ∠WXY and ∠VTY = ∠WYX
Therefore, by AAS congruence rule , we get ΔVTY≅ ΔWYX
Accordingly, by the property of congruence of triangles we get
TV = YW
Hence, option C) ΔVTY≅ ΔWYX by AAS, so TV = YW by def of ≅
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Find the area
b= 132 in
h= 7ft
Answer:
If a rectangle
77ft
Step-by-step explanation:
Answer:17in
Step-by-step explanation:
PLEASE SOLVE THEM ALL THEY ARE DUE IN 30 MINUTES
33/6m - 3/2m - 6 = 6
X - 4 = x/4 + 1/8
-2 + 3/4x = 5x - 1/3
Answer:
m=3
x=11/2
x=1/2,x=-3/10
Hey if you wanna see step please msg me
try to solve by your self next time!!!!!!!
what’s this
hdhshxbbsncjdkckskxbsh
Answer:
i dunno what that means but i think maybe your keyboard broke so the type of letters is random??
PICK A PRODUCT OF YOUR DREAM XX. State the Vision & Mission
statement. xx undertake research work on the dream product .(
assessment, feasibility & viability) xx. Discuss its production
and su
The chosen dream product is a solar-powered smart home automation system. The Vision & Mission statement is to create an environmentally sustainable and technologically advanced solution that enhances comfort, convenience, and energy efficiency in households. The production and successful implementation of this product require thorough research to assess its feasibility and viability, considering factors such as technological capabilities, market demand, and economic sustainability.
The Vision of the solar-powered smart home automation system is to revolutionize the way households interact with their living spaces by providing an environmentally sustainable solution. The Mission is to develop a state-of-the-art system that seamlessly integrates solar power generation, smart devices, and automation technologies to enhance comfort, convenience, and energy efficiency. This product aims to empower homeowners to reduce their carbon footprint while enjoying the benefits of a modern and connected lifestyle.
To undertake research work on the dream product, a comprehensive assessment is required. This involves evaluating the feasibility of integrating solar power generation with home automation technologies. Factors such as the availability of solar resources, technological advancements in energy storage, and the compatibility of smart devices with automation systems need to be investigated. Additionally, a market analysis is crucial to understand the demand for such a product, potential competition, and pricing considerations.
The research work also involves assessing the viability of the product from an economic perspective. This includes analyzing production costs, potential revenue streams, return on investment, and long-term sustainability. Careful consideration must be given to manufacturing processes, supply chain management, and scalability to ensure successful production and distribution of the product.
Overall, the development and successful implementation of a solar-powered smart home automation system require extensive research to assess its technical feasibility, market demand, and economic viability. By conducting a thorough assessment, the dream product can be evaluated effectively, paving the way for its production and subsequent success in the market.
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37:53 Bok Suppose that x has a binomial distribution with n=202 and p= 0.44. (Round np and n(1-p) answers to 2 decimal places. Round your answers to 4 decimal places. Round z values to 2 decimal place
The mean (µ) and standard deviation (σ) of the binomial distribution with n=202 and p=0.44 are 88.88 and 7.8959, respectively. The probability of obtaining x=53 is approximately 0.0561, and the z-score for x=37 is -6.55.
To find the mean (µ) and standard deviation (σ) of the binomial distribution, we use the formulas µ = np and σ = sqrt(np(1-p)), where n is the number of trials and p is the probability of success.
Given n = 202 and p = 0.44, we can calculate the mean and standard deviation as follows:
µ = 202 * 0.44 = 88.88 (rounded to 2 decimal places)
σ = sqrt(202 * 0.44 * (1 - 0.44)) = 7.8959 (rounded to 4 decimal places)
Now, let's suppose we want to find the probability of obtaining a specific value of x, let's say x = 53. We can use the formula for the binomial probability:
[tex]P(x) = C(n, x) * p^x * (1 - p)^{n - x}[/tex]
Substituting the values, we have:
[tex]P(53) = C(202, 53) * (0.44)^{53} * (1 - 0.44)^{202 - 53}[/tex]
Using a binomial calculator or software, we can find the probability as approximately 0.0561 (rounded to 4 decimal places).
Finally, if we want to calculate the z-score for a given value of x, we can use the formula:
z = (x - µ) / σ
For x = 37, the z-score would be (37 - 88.88) / 7.8959 = -6.55 (rounded to 2 decimal places).
In conclusion, for a binomial distribution with n = 202 and p = 0.44, the mean is 88.88 and the standard deviation is 7.8959. The probability of obtaining x = 53 is approximately 0.0561. The z-score for x = 37 is -6.55.
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Help pls! It’s due soon
Answer:
x1 = -8 and x2 = 9?
= x - 8 / x = 2 / x + 9
= Let's solve your equation step-by-step.
= x − 8x = 2x + 9
= x + − 8x = 2x + 9
Multiply all terms by x and cancel:
xx + −8 = 2 + 9x
x² −8 = 9x + 2 ( Simplify both sides of the equation )
x² − 8 − (9x + 2) = 9x + 2 − (9x + 2) (Subtract 9x+2 from both sides)
x² − 9x − 10 = 0
( x + 1 )( x − 10 ) = 0 (Factor left side of equation)
x +1 = 0 or x − 10 = 0 (Set factors equal to 0)
x = − 1 or x = 10
Check answers. (Plug them in to make sure they work.)
x= −1 ( Works in original equation )x = 10 ( Works in original equation )Simplify - 42 (x^2+4x+4)
Answer:
-42x² - 168x - 168
Step-by-step explanation:
Step 1: Write expression
-42(x² + 4x + 4)
Step 2: Distribute
-42x² - 168x - 168
Kent mixed oil and gas for his lawn mower. He mixed 8 fluid ounces of oil for every 1 gallon of gas. Which of the following statements must be true?
Select each true statement.
A
For every 2 gallons of gas, he used 16 fluid ounces of oil.
B
For every 3 gallons of gas, he used 3/8 fluid ounces of oil
C
For every 5 gallons of gas he used 40 fluid ounces
D
For every fluid ounce of oil, he used 40 fluid ounces of oil
E
For every 40 fluid ounces of oil he used 10 gallons of gas
F
For every 10 fluid ounces of oil he he used 1 1/4 of gas
Answer:
A and C
Step-by-step explanation:
they both have the same ratio
Answer :A and C
Step-by-step explanation:
At top cruising speed, a mako shark can swim 4 kilometers in 1/10 hour. A blue whale can swim 5 kilometers in 1/4 an hour which animal swims faster at a top cruising speed? How much faster? Show your work.
Answer: Mako shark
Step-by-step explanation:
We will calculate the speed of the sharks to know which is faster.
A mako shark can swim 4 kilometers in 1/10 hour.
Speed = Distance/Time
= 4/(1/10)
= 40km/hour
A blue whale can swim 5 kilometers in 1/4 an hour.
This shows that the Mako shark is faster as it swims at rate of 40km/hour and the blue whale swims at 5km/hour. It's faster by 35km.
= 40km - 5km
= 35km
Answer:
this was an amazing answer
Step-by-step explanation:
If BD = 7x – 10, BC = 4x – 29, and CD = 5x – 9, find each value.
The weights of five grapefruits are 7.47 ounces, 7.23 ounces, 6.46 ounces, 7.48 ounces, and 6.81 ounces. using the clustering estimation technique, what is the approximate total weight of the grapefruits?
Answer:
35.45
Step-by-step explanation:
Answer:
by using clustering technique answer is 35 or B
Step-by-step explanation:
Edge 2020
