The possible solution is having 30 rolls of wallpaper and 20 can of paints or 52 rolls of wallpaper with 20 can of paint.
InequalityInequality is the non equal comparison of two or more numbers and variables.
Let x represent the number of wallpapers and y represent the number of cans.
He needs at least 30 rolls of wallpaper and at least 20 cans of paint. Hence:
x ≥ 30 (1);
y ≥ 20 (2)
Also:
32x + 28y ≤ 2240 (3)
Plotting the 3 equations using geogebra online graphing tool, the possible solution is:
(30, 20), (52, 20)
The possible solution is having 30 rolls of wallpaper and 20 can of paints or 52 rolls of wallpaper with 20 can of paint.
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Can someone help me put this equation in standard form I give you brainliest !(and a explanation )
Answer:
eq of a line= (y-y1)=m(x-x1)
y-1=1/2(x-3)
2(y-1)=x-3
2y-2=x-3
x-2y-1=0
x-2y=1
Lines x and y intersect to make two pairs of vertical angles, q, s and r, t. Fill in the blank space in the given proof to prove ∠q ≅ ∠s. A) Transitive property B) Addition property of equality C) Subtraction property of equality D) Substitution property
Answer:
C) Subtraction property of equality.
Step-by-step explanation:
Given that, two lines \(x\) and \(y\) intersect to make pairs of vertical angles:
\(\angle q, \angle s\) and \(\angle r, \angle t\).
Kindly refer to the attached image for details of the given angles and lines.
Proof that \(\angle q\cong \angle s\) :
\(\begin{center}\begin{tabular}{ c c}Statements & Reasons \\ m\angle q+m\angle r=180^\circ & \angle q\ and\ \angle r\ are\ supplementary \\ m\angle r+m\angle s=180^\circ & \angle r\ and\ \angle s\ are\ supplementary \\ \angle q+\angle r=\angle q+\angle r & Algebraic substitution \\ m\angle q = m\angle s & Subtraction property of equality\end{tabular}\end{center}\)
Here, subtraction property of equality is used in the last step shown in the above.
As per the Subtraction property of equality, when some value is subtracted from both the sides of the equality, equality remains the same.
Answer:
C
Step-by-step explanation:
Because I am a genius
PLEASE HELP!! I DONT know what to do
I need help with this problem ASAP!
Answer:
x=−4 and y=−2
The solution is ( -4, -2)
Step-by-step explanation:
x−y=−2;2x−3y=−2
Step 1: Solve x−y=−2 for x:
x−y=−2
x−y+y=−2+y(Add y to both sides)
x=y−2
Step 2: Substitute y−2 for x in 2x−3y=−2:
2x−3y=−2
2(y−2)−3y=−2
−y−4=−2(Simplify both sides of the equation)
−y−4+4=−2+4(Add 4 to both sides)
−y=2
-y/-1 = 2/-1 (Divide both sides by -1)
y = -2
Step 3: Substitute −2 for y in x=y−2:
x=y−2
x=−2−2
x=−4(Simplify both sides of the equation)
x=−4 and y=−2
Solve the inequality and complete a line graph representing the solution. In a minimum of two sentences, describe the solution and the line graph.
8 ≥ 3x + 5
Solve to the nearest tenth
\( \sqrt{18} \)
Which expression has the same meaning as √n^36?
Answer:
A. n^18
Step-by-step explanation:
√(n^36)
n^(36 × 1/2)
n^(18)
Answer:
\(n^1^8\)
Step-by-step explanation:
So writing \(\sqrt{n^3^6}\) in a the other form I’d easy.
The 36 in the other form is the numerator and the 2square outside the radical is the denominator,
And if the n inside the radical is just a normal variable or digit.
So 36/2 is 18 so the answer is n^18.
What are the first digits of PI
Answer:
3.14
Step-by-step explanation:
Answer:
Here's the first 200 digits of pi 3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819
Step-by-step explanation:
When a number n is decreased by 12 and then the result is multiplied by 3, the product is equal to 21 . Write an equation and solve it to find the value of n .
The equation is , The value is .
Answer:
Step-by-step explanation:
19-12=7x3=21
In a survey that James conducted of the students in his school, he determined that 3 out of 8 students chose basketball as their favorite sport. If 225 students chose basketball as their favorite sport, how many students did James survey.
Answer:
600
Step-by-step explanation:
assume total x students
3/8 * x = 225
x= 600
One hundred coins weight 346 grams.how many grams does 1 coin weight
Answer: 3.46 grams.
Step-by-step explanation:
Which expression is equivalent to 2x2−x+18?
A
2(x−12)2
B
2(x−14)2
C
2(x−18)2
D
2(x−116)2
As a result of answering the given question, we may state that When we expressions compare the finished square form\(2(x - 1/4)^2 + 143/8\) to the answer alternatives, we see that option \(D: 2(x - 1/16)`^2.\)
what is expression ?In mathematics, an expression is a set of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, and so on) that expresses a quantity or value. Expressions might be simple, like "3 + 4", or complex, like "(\(3x^2\) - 2) / (x + 1)". They may also include functions such as "sin(x)" or "log(y)". Expressions can be evaluated by substituting values for the variables and carrying out the mathematical operations in the given order. For instance, if x = 2, the formula "3x + 5" is 3(2) + 5 = 11. In mathematics, expressions are widely used to explain real-world situations, build equations, and simplify complex mathematical issues.
expression is equivalent -
\(2(x^2 - 1/2x) + 18\\2(x^2 - 1/2x + 1/16 - 1/16) + 18\\2((x - 1/4)^2 - 1/16) + 18\\2(x - 1/4)^2 - 1/8 + 18\\2(x - 1/4)^2 + 143/8\\\)
When we compare the finished square form\(2(x - 1/4)^2 + 143/8\) to the answer alternatives, we see that option \(D: 2(x - 1/16)`^2.\)
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Are the ratios 15:12 and 6:4 equivalent?
Answer:
No
Step-by-step explanation:
To get to 12 from 4 you'd have to multiply by 3 but, if you multiply 6 by 3 you get 18, not 15.
If three quarters of the pizza provided 12 pieces to the table how many pieces were in the pizza when it was full
Answer:
9
Step-by-step explanation:
Answer:
16 slices of pizza
Step-by-step explanation:
divide 12 by 3
that would give you 4
now add 4 to 12
viola you have the answer of 16
Put the following statements in order to prove that all elements of the set SS recursively defined below have the form 3i5j3i5j with nonnegative integers i,j. Put N next to the statements that should not be used. 1. 1∈S1∈S 2. n∈S→3n∈Sn∈S→3n∈S 3. n∈S→5n∈Sn∈S→5n∈S 1. Inductive step: Assume that 3n and 5n have the desired form n=3i5jn=3i5j with nonnegative integers i,j. 2. Inductive step: Assume n∈Sn∈S and n=3i5jn=3i5j with nonnegative integers i,j. 3. We now verify the statement P(n+1): 3n=3i+15j3n=3i+15j and 5n=3i5j+15n=3i5j+1. Since i and j are nonnegative integers, so are i+1 and j+1. Thus, 3n and 5n again have the desired form. We have proved that P(n) implies P(n+1). 4. Base case: The statement P(0) is true because 1=30501=3050. 5. We now verify that all elements generated by n retain the property: 3n=3i+15j3n=3i+15j and 5n=3i5j+15n=3i5j+1. Since i and j are nonnegative integers, so are i+1 and j+1. Thus, 3n and 5n again have the desired form. 6. Base case: The initial population 1=30501=3050 has the desired property. 7. Inductive step: Assume P(n) is true, i.e. n∈Sn∈S and n=3i5jn=3i5j with nonnegative integers i,j.
The proof confirms that all elements of the set SS recursively defined as 3i5j3i5j, with non-negative integers i and j, have the desired form.
The proof starts with the base case, as stated in statement 6, which establishes that the initial population 1=30501=3050 has the desired property. Then, in statement 4, the base case is reiterated to highlight that P(0) is true. These two statements serve as the foundation for the inductive steps.
In the inductive steps, statement 2 assumes n∈Sn∈S and n=3i5jn=3i5j with nonnegative integers i,j, while statement 7 assumes P(n) is true, i.e., n∈Sn∈S and n=3i5jn=3i5j with nonnegative integers i,j. Both statements establish the starting point for the verification of the inductive hypothesis.
The verification process follows with statement N, which is not used, and then statement N, indicating that it is not part of the logical order.
Next, statement 1 indicates that 1∈S1∈S, and statement 5 verifies that all elements generated by n retain the desired property by showing that 3n=3i+15j3n=3i+15j and 5n=3i5j+15n=3i5j+1. Since i and j are nonnegative integers, the resulting i+1 and j+1 are also nonnegative.
Finally, statement 3 completes the verification by stating that n∈S→5n∈Sn∈S→5n∈S, which demonstrates that the generated elements still belong to the set SS with the desired form.
By following this logical order of statements, the proof confirms that all elements of the set SS recursively defined as 3i5j3i5j, with nonnegative integers i and j, have the desired form.
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3(a-2/3)= 3/4a+2 1/4
Steps:
Step 1: Simplify both sides of the equation.
3(a−2/3)=3/4a+21/4
(3)(a)+(3)(−2/3)=3/4a+21/4(Distribute)
3a+−2=34a+2143a−2=3/4a+21/4
3a+−2=34a+2143a−2=3/4a+21/4
Step 2: Subtract 3/4a from both sides.
3a−2−3/4a=3/4a+21/4−3/4a
9/4a−2=21/4
Step 3: Add 2 to both sides.
9/4a−2+2=21/4+2
9/4a=29/4
Step 4: Multiply both sides by 4/9.
(4/9)*(9/4a)=(4/9)*(29/4)
Answer:
A=29/9
Please mark me brainliest
Hope this helps.
Jamal is retiring after working 45 years for the same company. The company pays a monthly retirement benefit of $35 for each year of service less than 20 years. The benefit increases by for each year of service beyond 20 years.
a. What is Jamal’s multiplier?
b. What is his monthly income in his retirement?
c. What is his annual income in his retirement?
Jamal's multiplier is 1.75, Jamal's monthly income in retirement is $2,925 and Jamal's annual income in retirement is $35,100.
a. What is Jamal’s multiplier?
Jamal's multiplier is 1.75, as for each year of service beyond 20 years, the benefit increases by 1.75 times the amount for each year of service less than 20 years.
b. What is his monthly income in his retirement?
Jamal's monthly income in retirement is $2,925, calculated as (35 x 20) + (1.75 x 25 x 35) = $2,925.
c. What is his annual income in his retirement?
Jamal's annual income in retirement is $35,100, calculated as his monthly income in retirement of $2,925 multiplied by 12 months.
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I need help please! It's due today
The equation Monique, Clarence, Jose and Quincy linear graph is y = (-1/2)x, y = (1/2)x, y = 1.5x + 1 and y = -1.5x - 1 respectively
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The slope intercept form of a line is:
y = mx + b
where m is the slope and b is the y intercept
Monique graph passes through (0, 0) and (2, -1). Hence:
y - 0 = [(-1 - 0)/(2 - 0)](x - 0)
y = (-1/2)x
Clarence graph passes through (0, 0) and (2, 1). Hence:
y - 0 = [(1 - 0)/(2 - 0)](x - 0)
y = (1/2)x
Jose graph passes through (0, 1) and (-2, -2). Hence:
y - 1 = [(-2 - 1)/(-2 - 0)](x - 0)
y = 1.5x + 1
Quincy graph passes through (0, -1) and (-2, 2). Hence:
y - (-1) = [(2 - (-1))/(-2 - 0)](x - 0)
y = -1.5x - 1
The equation Monique graph is y = (-1/2)x
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Solve for z. Round to the nearest tenth, if necessary.
Answer:
z = 45.6
Step-by-step explanation:
because the triangle that we know all the length is similar to the large triangle,
z = 27/(16/27)= 45.5625
9514 1404 393
Answer:
45.6
Step-by-step explanation:
There is a geometric mean rule that is derived from the fact that all of these right triangles are similar. It tells you the side (27) is the geometric mean of the hypotenuse (z) and the segment of it adjacent to that side (16).
27 = √(16z)
z = 27²/16 = 45.5625
z ≈ 45.6
what is the probability there were no children in a car involved in an auto accident if the driver was not 55 years or older?
It is crucial to note that these assumptions are speculative and may not accurately reflect the actual probability without specific data or a more detailed understanding of car accidents and the presence of children in those accidents.
How to determine the probability that there were no children in a car involved in an auto accident given that the driver was not 55 years or older?To determine the probability that there were no children in a car involved in an auto accident given that the driver was not 55 years or older, we would need additional information such as the data on car accidents and the presence of children in those accidents.
Without this information, it is not possible to calculate the probability directly. However, we can make some assumptions to provide a general idea.
Assuming that the presence of children in a car accident is independent of the age of the driver, we can estimate the probability based on general statistics or assumptions.
For instance, if we assume that a relatively small percentage of car accidents involve children and that the likelihood of an accident involving children is not significantly affected by the age of the driver, then the probability of there being no children in a car accident when the driver is not 55 years or older would likely be relatively high.
However, it is crucial to note that these assumptions are speculative and may not accurately reflect the actual probability without specific data or a more detailed understanding of car accidents and the presence of children in those accidents.
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What is the three-period weighted moving average for july using the weights 0.5 (most recent), 0.3, and 0.2?
The three-period weighted moving average for july is 145.4.
What is Weighted Moving Average?A weighted moving average technique is one of several methods for forecasting a given month's value or attribute. Other techniques for forecasting from historical data include the evenly weighted moving average method, a regression analysis method, and so on.
When evaluating the movable average estimate of such an observation, each observation is usually weighted the same way. In some cases, it is advantageous to assign different weights to the observations so that the observation closest to the forecasted time period has a higher weight. This is known as the weighted moving average method. In such a weighted moving average technique, the sum of the individual weights must equal 1.Now, according to the question;
The weighted moving average strategy forecast for month of July is given by:
= (Weight for May * Sales for May) + (Weight for April * Sales for April) + (Weight for June * Sales for June)
= (0.5 * 148) + (0.3 * 142) + (0.2* 144)
= 145.4
Therefore, the three-period weighted moving average for july is 145.4.
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The complete question is -
13. Given the following historical data and weights of .5, .3, and .2, what is the three-period weighted moving average forecast for period 5?
Period Value
1 - 138 (march)
2 - 142 (april)
3 - 148 (may)
4 - 144 (june)
2. Calculate the change in temperature when it changes from 8°C to -11 °C?
Answer:
19
Step-by-step explanation:
From 8-->0 =8
+ from 0--->-11=11
11+8
While solving an equation, if the variable term becomes zero, and the equation makes a true statement, then the solution is
The equation's remaining constant is the answer if the variable term eventually equals zero and the equation can be said to be true.
By isolating the variable on one side of the equation, we can arrive at a numerical value that satisfies the equation. However, in rare circumstances, the variable term may become zero while the equation is being simplified.
When a common factor is eliminated or an expression containing the variable is simplified, this can take place. The equation has a solution, and that solution is the constant value left over if, after removing the variable element, we arrive at a true assertion.
This is due to the equation's ability to be simplified to a declaration of equality between two constants if the variable term is zero. The constant value is the answer to the equation if the aforementioned assertion is accurate.
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students who study for 7 hours over the course of a week (spaced learning) will perform better than students who cram for 7 hours the night before the exam. the independent variable in this hypothesis is:
The independent variable in this hypothesis is the method of studying, specifically whether students engage in spaced learning or cramming.
In the hypothesis that students who study for 7 hours over the course of a week using spaced learning will perform better than students who cram for 7 hours the night before the exam, the independent variable is the method of studying.
This variable is independent because it is being manipulated and controlled by the researcher. In this case, the researcher is comparing two different methods of studying and measuring the effect on exam performance.
Spaced learning involves breaking up the study time into smaller, more manageable chunks over a period of time, such as a week. Cramming, on the other hand, involves trying to learn all the material in a short period of time, such as the night before the exam.
The dependent variable in this hypothesis is exam performance, which is expected to be better for students who engage in spaced learning compared to those who cram.
The hypothesis suggests that the method of studying has a causal relationship with exam performance, but it is the independent variable, the method of studying, that is being manipulated to test this hypothesis.
Therefore the independent variable in the hypothesis that students who study for 7 hours over the course of a week using spaced learning will perform better than students who cram for 7 hours the night before the exam is the method of studying, specifically whether the student engages in spaced learning or cramming.
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anyone single i am lonely and sad... contact me if you are im a male 15 years old live in alabama hope your ready to go on a date :) but any way i am gonna add a math question to this
what is 1284×342÷9×62×4÷98×2÷106?
Answer:
2329.69 is the answer......
give me a brainliest
Isaac added 19 to the product of 839 and 15. What is Isaac's sum?
Answer:
15956
Step-by-step explanation:
i think this should be the answer are you learning about phrases
if you are then and is addition but if you are not then try to multipy the 15
Simplify \(\frac{6 x^6 y^7}{3 x^5 y^2}\)
Answer:
\(2xy^5\)
Step-by-step explanation:
6= 3*2
Divide 3
\(2x^6y^7/x^5y^2\)
\(x^6/x^5=x\)
\(y^7/y^2=y^5\)
2xy^5
Answer:
2xy⁵
Step-by-step explanation:
6x⁶y⁷ ----------- 3x⁵y²
= 6x⁶y⁷ ----------- 3x⁵y²
= 6xy⁵ ---------- 3
=2xy⁵
------- = division
What is m \angle BGC?
A. 111°
B. 145°
C. 76°
D. 104°
The value of the missing angle is calculated as: ∠BGC = 76°
How to find the missing angle?The parameters are given as:
∠AGB = 35°
∠AGE = 69°
From angle theorems, we know that the sum of angles on a straight line is 180°. If we split any straight line into smaller angles, all of these angles would then be summed up to make 180° which is the same as with a triangle. Angles in a straight line are a very useful problem solving tool for many geometric problems.
Thus:
∠AGB + ∠AGE + ∠BGC = 180°
Thus:
35 + 69 + ∠BGC = 180
∠BGC = 180 - (69 + 35)
∠BGC = 76°
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Evaluate each function for the given input value y=1/4 x-3 for x=20____and x=12_____
Answer:
See answer below.
Step-by-step explanation:
y = 1/4x - 3 Substitute x = 20
y = 1/4(20) - 3
y = 5 - 3
y = 2
y = 1/4x - 3 Substitute x = 12
y = 1/4(12) - 3
y = 3 - 3
y = 0
G(x)=-x-3, find g(1)
Answer:
G(1) = -2
Step-by-step explanation:
for G(1) replace x with 1
G(1)=1-3
subtract
1-3 = -2
so G(1) = -2