Let the length of the first piece be "x", second piece be "y" and third piece be "z".
Total length is 234 inches, so we can write:
\(x+y+z=234\)Also,
• Second piece is 4 times the first piece, ,we can write:
\(y=4x\)• Third piece is 8 times the first piece, ,we can write:
\(z=8x\)Substituting these 2 equations into the first equation, we will have an equation in x. Then we solve for x. Shown below:
\(\begin{gathered} x+y+z=234 \\ x+4x+8x=234 \\ 13x=234 \\ x=18 \end{gathered}\)Consequently, we can find y and z >>>>
y = 4x
y = 4(18)
y = 72
and
z = 8x
z = 8(18)
z = 144
Answer
First Piece = 18 inches
Second Piece = 72 inches
Third Piece = 144 inches
Quick algebra 1 question for some points!
Only answer if you know the answer, quick shout-out to Dinofish32, tysm for the help!
\( \frac{y}{x} = \frac{1}{ - 3} \\ - 3y = x\)
\( - 3(2) = 6 = x\)
( - 6 , 2 ) Option aWhat does the y-intercept represent in this situation? the maximum weight allowed in a shipment the minimum weight of a single box of screws the minimum number of screws in a single box the maximum number of single boxes for a shipment
The y-intercept represents a. the maximum weight allowed in a shipment.
Given: The graph is between the Amount of allowed weight remaining Vs the Number of boxes included.
What is a graph?
A graph is a diagram or the representation of variations between two or more variables with respect to each other.
A graph consists of dependent and independent variables. We usually plot the response of the dependent variable with the change in the value of the independent variable.
What is y-intercept?
The y-intercept is the point on the y-axis that a given equation of line or a curve passes through when the value of x = 0. It can denote either the minimum value for a function is the function is increasing the the initial point is the y intercept or the maximum value for a decreasing function if the y-intercept is the initial point.
Let's solve the question:
It is given in the question that the graph is of Amount of allowed weight remaining Vs the Number of boxes.
As it is "Amount of weight remaining", so we can interpret that it is a decreasing curve with the increase in the number of boxes or in simple words the value of y will keep decreasing with the increasing number of x value.
Therefore, for this graph the y-intercept will show the maximum weight remaining or as it is the y-intercept that is x = 0, which means when there are no boxes the maximum weight remaining is y-intercept. So it the maximum weight allowed in the shipment.
Hence the answer is a. the maximum weight allowed in a shipment.
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Disclaimer: The given question is incomplete. The complete question is mentioned below:
One manufacturer boxes screws so that each box weighs the same no matter what size the screws are. The graph shows the amount of allowed weight remaining in a given shipment depending on the number of boxes of screws already included. What does the y-intercept represent in this situation?
a. the maximum weight allowed in a shipment.
b. the minimum weight of a single box of screws.
c. the minimum number of screws in a single box.
d. the maximum number of single boxes for a shipment.
Has anyone done IXL N.2 for 7th grade I need help!!
Answer:
22.5 or 22 1/2 yards
Step-by-step explanation:
71.50 + 52.25 = 123.75
123.75 ÷ 5.50 = 22.5
opposite of 45 i need help beause on opposite i am so i don't know the answer alos have opposite 21 and alos 52 and 9,6, 89 all my last one then i have stuff like 17+N= and i don't know that i need help
Answer: the opposite of 45 is......-45????
Step-by-step explanation: um your question is a little unclear, but the opposite of 45 is -45.
Answer:
the opposite of a number is just that number with a negative sign because it is flipped to the other side of zero
Step-by-step explanation:
i think that's what u wanted but the question was kind of unclear
sindi covers 72 km in 6 hours and 15 minutes on her racing bike calculate her average speed
Answer: 11.25 kmph or 6.99 mph
Step-by-step explanation:
take the speed equation s=d/t (speed equals distance over time)
s=72/6.4 (15 min is 0.4 of an hour)
your final answer will be S= 11.25 kilometers per hour or 6.99 miles per hour
(07.01, 07.02 MC)
An expression is shown below:
6x2y − 3xy − 24xy2 + 12y2
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
A: The expression is 3y(2x² - x - 8xy + 4y).
B: Completely factorized expression is 3y{x(2x - 1-8y) + 4y}.
Part A: To factor out the greatest common factor (GCF), we need to find the highest power of each variable that appears in all terms. In this expression, the variables are x and y.
The GCF of the coefficients is 3, and the GCF of the variables is xy.
Factoring out the GCF, we get:
3y(2x² - x - 8xy + 4y)
Part B: To factor the entire expression completely, we look for common factors among the terms and apply factoring techniques.
The given expression is:
6x²y − 3xy − 24xy² + 12y²
First, let's factor out the GCF of the coefficients, which is 3:
3y(2x² - x - 8xy + 4y)
Factor out x from the common terms,
3y{x(2x - 1-8y) + 4y}
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Leah Deposited $7000 in an account that earns 2% interest compounded annually. How much interest will she have earned after 6 years?
Answer:
840
Step-by-step explanation:
7000×2×6 ÷ 100. since it is 2%
= 840
worth 10pts if someone can help!
Answer:
y=-x
I found the points then simplified it down
Answer:
hmm maybe trying using 2y=5x-2
Step-by-step explanation:
how i came to this was just looking at point y which was just 2 and then since point x was at 5,-2 all i did was simply it into 2y=5x-2
maybe that's the answer if it is can i get brainlist ?! pretty please if not let me know so i can see what i got wrong
Find a positive angle less than 360° or 2π that is coterminal with the given angle.-266°
We have the following:
We have coterminal angles, when you graph angles x = 30° and y = - 330° in standard position, these angles will have the same terminal side. See figure below.
\(360-266=94\)Therefore, the answer is 94 degrees in the quadrant II
What is the volume of a rectangular prism with the length of 4.5 ft, the width of 3.5 ft, and the height of 5.5 ft?
Answer:
The volume would be 86.63 feet squared
Hope this helps!
Mark me brainliest if I'm right :)
The number of prime factors of 3×5×7+7 is
The number of prime factors of 3×5×7+7 is 3.
To find the number of prime factors, we need to calculate the given expression:
3×5×7+7 = 105+7 = 112.
The number 112 can be factored as 2^4 × 7.
In the first step, we factor out the common prime factor of 7 from both terms in the expression. This gives us 7(3×5+1). Next, we simplify the expression within the parentheses to get 7(15+1). This further simplifies to 7×16 = 112.
So, the prime factorization of 112 is 2^4 × 7. The prime factors are 2 and 7. Therefore, the number of prime factors of 3×5×7+7 is 3.
In summary, the expression 3×5×7+7 simplifies to 112, which has three prime factors: 2, 2, and 7. The factor of 2 appears four times in the prime factorization, but we count each unique prime factor only once. Thus, the number of prime factors is 3.
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Evaluate each expression.5. -36.97. 13 +-28. -12-8
7) 13 + -2 = 13 + (-2) = 13 - 2 = 11
8) -12 - 8 = - (12 + 8) = - (20) = -20
Malcolm started with a board that was 62/3 feet long. He then cut off a section that was 3 1/2 feet long. How much of the board is left?
A. 3 1/4 feet
B. 4 feet
C. 3 1/6 feet
D. 9 3/5 feet
Only for I Brainly Expert
The board is 3 1/6 feet left. The correct option is C.
To find out how much of the board is left, we need to subtract the length of the section that was cut off from the original length of the board:
6 2/3 - 3 1/2
To subtract these two mixed numbers, we need to find a common denominator. The smallest common denominator of 3 and 2 is 6:
Next, we can simplify the fractions,
62/3 - 3 1/2
= 20/3 - 7/2
= (40 - 21)/6
= 19/6
= 3 1/6 feet.
Therefore, the answer is C. 3 1/6 feet.
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Which function is positive for the entire interval [-3, -2]?
Answer:
A function that is positive in the entire interval [-3, -2] is -x2 - 5x - 5.
Answer:
The second function (second graph and choice)
Step-by-step explanation:
If you look at the second function you will see that within the closed interval [-3,-2] the graph y values are positive
First choice is incorrect since at x = -2 the y value is negative
Third choice incorrect since at x = -2, y value is negative
Fourth choice incorrect since y value is negative for x = -2
What is the solution to this equation?
9 ^x- 1 = 2
O A. 1
O B. 2
O C.
1/2
OD. -1/2
The solution to this equation 9ˣ - 1 = 2 is 1/2.
The correct option is A.
What is an equation?
Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
An equation:
9ˣ - 1 = 2
Simplifying,
9ˣ = 3
3²ˣ = 3
Comparing, we get,
2x = 1
x = 1/2
Therefore, the solution is x = 1/2.
Given: AQ ≅ RQ
∠YAF and ∠FRY are right angles.
Prove: AQY ≅ RQF
Given: AQ ≅ RQ, it should be noted that AQY ≅ RQF based on SAS Congruence. Therefore, AQY ≅ RQF.
How to explain the informationGiven: AQ ≅ RQ
∠YAF and ∠FRY are right angles.
Prove: AQY ≅ RQF
1. AQ ≅ RQ (Given)
2. ∠YAF and ∠FRY are right angles (Given)
3. ∠AQY = ∠RQF (Vertical angles are congruent)
4. AQ = RQ (Given)
5. AY = RY (Side-Angle-Side Congruence)
6. ∠QYA = ∠RFQ (Angle-Side-Angle Congruence)
7. AQY ≅ RQF (SAS Congruence)
Therefore, AQY ≅ RQF.
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Given: AQ ≅ RQ
∠YAF and ∠FRY are right angles.
Prove: AQY ≅ RQF
Ruiz Creek overflows its banks after 12 centimeters of rainfall. One day rain fell at the rate of 4 centimeters every hour. How much time did people living by Ruiz Creek have to get away from danger?
2 hours
3 hours
4 hours
5 hours
Please assist
Answer:
3 hours
12 (the amount of cm it takes to overflow) divided by 4 (the amount of rainwater that falls in an hour) = 3
hello please help i’ll give brainliest
Answer:
B.) teacher
Step-by-step explanation:
good luck!!!
can you give me brainliest pls im trying to level up lol
7th grade math help me pleaseeee
Answer:
option 2 : 754 in³
Step-by-step explanation:
diameter = 8 => radius, r = 4 inches , h = 15 inches
\(volume = \pi r^2 h\)
\(=\pi \times 4^2 \times 15 \\\\=753.9 \ in^3\\\\= 754 \ in^3\)
Step-by-step explanation:
volume of cylinder = πr²h
22/7×4²×15. {radius (r)=diameter/2)754in³its yr ans.
hope it helps
stay safe healthy and happy.What is the value of x? Enter your answer in the box. x =
Answer:
4 units
Step-by-step explanation:
Considering the triangle KLJ, using the trigonometric ratios defined by the notation SOH CAH TOA
Line LJ is the opposite side while LK is the hypotenuse side. Hence,
Sin 30 = LJ/8√2
LJ = 8√2 × 1/2
= 4√2
Considering triangle LJM, line LJ is now the hypotenuse while line LM which is equal to x is the opposite side.
Sin 45 = x/4√2
x = 4√2 × 1/√2
x = 4
Answer:
4
Step-by-step explanation:
Just took the test in k12
A company claims that the mean weight per apple they ship is 120 grams with a standard deviation of 12 grams. Data generated from a sample of 49 apples randomly selected from a shipment indicated a mean weight of 122. 5 grams per apple. Calculate and interpret a 95% confidence interval for the mean weight per apple.
The average apple weight's 95% confidence interval is (119.14, 125.86).
According to one manufacturer, an apple weighs 120 grams on average with a 12-gram standard variation. According to statistics generated from a sample of 49 apples randomly selected from a shipment, the average weight per apple was 122. 5 grams.
Let,
n = 49
x = 122.5
σ = 12
To figure up and analyze a 95% confidence interval for the average apple weight;
The formula for a 95% confidence interval is
(x ± 1.96*σ√n)
(122.5 ± 1.96*12/√49)
(119.14, 125.86)
Consequently, a 95% confidence interval for the average apple weight is (119.14, 125.86).
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Round each fraction to help you estimate the solution for the following equation:1/6 + 5/6 = ____A. 0B. 1/2C. 1D. 2
The estimation of the equation 1/6 + 5/6 is 1 (option C).
For rounding a fraction to the nearest whole number, use the "rounding half up" rule if necessary.
To estimate the solution for the equation 1/6 + 5/6, we can round each fraction to the nearest whole number.
The fraction 1/6 is closer to 0 than it is to 1, so we will round it to 0.
The fraction 5/6 is closer to 1 than it is to 0, so we will round it to 1.
Now we can estimate the solution for the equation as follows:
0 + 1 = 1
Therefore, the estimated solution for the equation 1/6 + 5/6 is 1.
The correct answer is C. 1.
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what is the measure of angle OAC
Answer:
60
Step-by-step explanation:
please help i've been stuck on this for a while
Answer:
SSS Postulate
Step-by-step explanation:
The first says 2 sides are the same
The second says 2 sides are the same
The last says 2 sides are the same
Side side side
SSS Postulate
Given triangle EFG, select the graph of image E 'F'G'and confirm that it preserves length and anglemeasures.(x,y) -(x-3, y + 1)
We have a transformation for the triangle EFG. In this case is a translation.
We can verify with one of the points which one of the graphs correspond to this transformation.
The transformation is:
(x,y) --> (x-3, y + 1)
We look at point E = (-0.5, 0).
We apply the transformation and get:
(-0.5, 0) --> (-0.5-3, 0+1) = (-3.5, 1)
Then, the graph that has E located in the point (-3.5, 1) is the right one.
In ΔJKL, the measure of ∠L=90°, KL = 11 feet, and JK = 32 feet. Find the measure of ∠J to the nearest tenth of a degree.
Answer: J = 20.1
Step-by-step explanation:
sin J = hypotenuse/opposite = 11/32
Sin J =11/32
J=sin-1(11/32)
J= 20.1055
The sample space for tossing a coin 3 times is {hhh, hht, hth, htt, thh, tht, tth, ttt}. determine p(2 tails). a. 12.5% b. 37.5% c. 50% d. 75%
The probability of getting 2 tails is option (b) 37.5%
The event of "2 tails" can occur in three possible outcomes: {htt, tht, tth}, so the probability of getting 2 tails is the sum of the probabilities of these three outcomes.
Each toss of a fair coin is independent and has a 50% chance of landing tails. Therefore, the probability of each of these three outcomes is:
P(htt) = 1/2 × 1/2 × 1/2 = 1/8
P(tht) = 1/2 × 1/2 × 1/2 = 1/8
P(tth) = 1/2 × 1/2 × 1/2 = 1/8
So, the probability of getting 2 tails is:
P(2 tails) = P(htt) + P(tht) + P(tth) = 1/8 + 1/8 + 1/8 = 3/8
= 0.375
0.375 multiplied by 100% gives:
P(2 tails) = 37.5%
Therefore, the correct option is (b) 37.5%
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how many meters are equal to 3,736 cm
A. 373.6 meters
B. 3.736 meters
C. 37.36 meters
D. 37,360 meters
Answer:
C
Step-by-step explanation:
3,735 cm = 37.36 meters
An algorithm is a calculation that determines how long it will take to solve a problem. True or False?
The given statement "An algorithm is a calculation that determines how long it will take to solve a problem." is False.
An algorithm is not just a calculation that determines how long it will take to solve a problem. An algorithm is a step-by-step set of instructions or a process used to solve a problem or perform a specific task. It is a systematic approach that allows a computer or human to break down a problem into smaller, manageable parts and reach a solution effectively.
Algorithms are the foundation of computer programming and can be applied in various fields such as mathematics, data processing, and problem-solving. They can be simple, like finding the largest number in a list, or complex, like solving a Rubik's Cube.
Efficiency is a key factor in evaluating algorithms. The time and resources required for an algorithm to solve a problem can vary greatly depending on the method used. However, the primary purpose of an algorithm is to provide a clear and concise procedure to reach a solution, rather than just estimating the time needed to solve a problem.
In summary, an algorithm is a well-defined process designed to perform a specific task or solve a problem, rather than just calculating the time required to do so. Its effectiveness depends on its efficiency, accuracy, and the simplicity of the steps involved.
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The purpose of a(n) is to create an accurate drawing of either a very large or very small object
The purpose of a scale factor is to create an accurate drawing of either a very large or very small object.
What is scale factor?A scale factor can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric objects (shapes) such as equilateral triangles, quadrilaterals, polygons, river, planets in our solar system, etc.
Mathematically, the scale factor of a geometric object (shape) such as a map can be calculated by using this formula:
Scale factor = Dimension of image/Dimension of original figure
Generally speaking, a scale factor is typically used in conjunction with dilation, which is a type of transformation that changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased (enlarged) or decreased (reduced) based on the scale factor that is chosen and used.
In this context, we can reasonably infer and logically deduce that the purpose of a scale factor is simply for the creation of an accurate drawing of both very small geometric object and very large geometric object.
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