The solution for p=2l+2w, the value of w= 3 units.
To solve the equation p = 2l + 2w for w, we will follow the steps below:
Step 1: Start with the given equation: p = 2l + 2w.
Step 2: To isolate the variable w, we need to get rid of the terms involving l. We can do this by subtracting 2l from both sides of the equation:
p - 2l = 2w.
Step 3: Next, we want to solve for w. To do this, we divide both sides of the equation by 2:
(p - 2l) / 2 = w.
Step 4: Simplify the expression on the right side:
w = (p - 2l) / 2.
Now, let's apply this formula to a specific example. Suppose we have a rectangle with a perimeter of 16 units (p = 16) and a length of 5 units (l = 5). We can find the width (w) using the formula:
w = (16 - 2(5)) / 2
w = (16 - 10) / 2
w = 6 / 2
w = 3.
By following the steps outlined above and substituting the given values of the perimeter (p) and length (l) into the formula w = (p - 2l) / 2, you can determine the value of the width (w) for any given rectangle.
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Sorry its blurry but please hurry!!!!!!! Answer 9 and 10 please!!!!
Answer:
9. 31/2 or 15.5( I think that's the answer)
10. B
Step-by-step explanation:
A line passes through the point (-3, 2) and has a slope of 13 . Which represents the equation of the line?
An equation that represents the equation of the line is: B. y = 13x + 41.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
m represent the slope.x and y represent the points.At data point (-3, 2) and a slope of 13, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 2 = 13(x - (-3))
y - 2 = 13(x + 3)
y = 13x + 39 + 2
y = 13x + 41
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Complete Question:
A line passes through the point (-3, 2) and has a slope of 13. Which represents the equation of the line?
A, y = 3x + 41
B. y = 13x + 41
C. y = -13x + 41
D. y = 41x + 13
Abigale drove 20 kilometers in 10 minutes, and Jordan drove 30 kilometers in 15 minutes.
Both Abigale and Jordan drove at a constant speed.
Did Abigale and Jordan drive at the same speed? Explain your reasoning.
Answer:
15
Step-by-step explanation: 20+10+3+30 =30
Graph the following inequality
y≤ ¹/2x-4
The inequality y≤ 1/2 x -4 which is shown by red shaded region gives the solution (0, -4) and (8, 0).
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
We have the Inequality y≤ 1/2 x -4.
Now, we plot the inequality on the Graph as shown by the red region.
As, the inequality intersect the axis at (0, -4) and (8, 0).
Thus, the solution is (0, -4) and (8, 0).
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How do I solve this problem using the Rational Zeroes Theorem?
1) Find the real number solutions of the following polynomial equation:
f(x) = 4x^5 - 40x^3 + 36x
Answer:
Step-by-step explanation:
The Rational Zeroes Theorem states that if a polynomial equation has a rational solution (a solution that can be expressed as a fraction of two integers), then that rational solution must be of the form p/q, where p is a factor of the constant term (in this case 36) and q is a factor of the leading coefficient (in this case 4).
Step 1: Find the factors of 36. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Step 2: For each factor of 36, divide it by each factor of 4 to get a list of possible rational solutions.
Step 3: Test each of the possible rational solutions by plugging them into the polynomial equation and seeing if they make the equation equal to zero. If a solution makes the equation equal to zero, it is a root of the polynomial.
Step 4: Once you have found all of the roots of the polynomial, you can use them to write the polynomial in factored form.
Note: This method only works for polynomials with real coefficients and will only give you the real solutions of the equation. If the polynomial has complex solutions, you will need to use a different method to find them.
Complete the equation and tell which property you used 21× =9×21
After cross multiplying the given equation the value of x turns out to be 9.
What is cross multiplication?
In mathematics, specifically in abecedarian computation and abecedarian algebra, given an equation between two fragments or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.In cross-multiplication, we multiply the numerator of the first bit with the denominator of the alternate bit and the numerator of the alternate bit with the denominator of the first bit. Cross-multiplication can be used to add or abate unlike fragments snappily.Cross-multiplication is also appertained to as a butterfly system.21 × X =9×21
X = 9
After cross multiplying the given equation the value of x turns out to be 9.
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a
Sean is a wrestler trying to make weight for the winter
season. He currently weighs 185 pounds. If he is able to
lose 1.5 pounds each week, how long will it take him to
weigh less than 167 pounds?
4x(x + 1) − (3x − 8)(x + 4)
The simplified form of the expression 4x(x + 1) − (3x − 8)(x + 4) is -3x^2 - 4x - 32.
To simplify the expression 4x(x + 1) − (3x − 8)(x + 4), we can expand the parentheses and combine like terms.
Expanding the first term, we get 4x^2 + 4x.
Expanding the second term, we have -(3x)(x) - (3x)(4) - (-8)(x) - (-8)(4), which simplifies to -3x^2 - 12x - (-8x) - (-32), further simplifying to -3x^2 - 12x + 8x - 32.
Combining like terms, we obtain -3x^2 - 4x - 32.
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Joshua shops at two different stores for a new phone.
Cheap Cell: Only $150, plus an instant 15% rebate
Cells For Less: Regular Price $150 sale price $125
How much money can Joshua expect to save at Cheap Cell?
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 5,900 8,900
Total expected material moves 590 190
Expected direct labor-hours per unit 790 290
The total materials handling cost for the year is expected to be $325,890.
If the materials handling cost is allocated on the basis of material moves, the total materials handling cost allocated to the modular homes is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$246,507.90
$160,629.00
$213,514.00
$238,382.50
Merone Company allocates materials handling cost to the company's two products using the below data:
Modular Homes Prefab Barns
Total expected units produced 6,000 9,000
Total expected material moves 600 200
Expected direct labor-hours per unit 800 300
The total materials handling cost for the year is expected to be $300,000.
If the materials handling cost is allocated on the basis of direct labor-hours, the total materials handling cost allocated to the prefab barns is closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$105,000.00
200,000.00
$150,204.00
$108,000.00
Spates, Incorporated, manufactures and sells two products: Product H2 and Product E0. Data concerning the expected production of each product and the expected total direct labor-hours (DLHs) required to produce that output appear below:
Expected Production Direct Labor-Hours Per Unit Total Direct Labor-Hours
Product H2 190 6.9 1,311
Product E0 190 5.9 1,121
Total direct labor-hours 2,432
The company’s expected total manufacturing overhead is $270,968.
If the company allocates all of its overhead based on direct labor-hours, the overhead assigned to each unit of Product H2 would be closest to: (Round your intermediate calculations to 2 decimal places.)
Multiple Choice
$222.84 per unit
$126.48 per unit
$768.80 per unit
$96.36 per unit
Doles Corporation uses the following activity rates from its activity-based costing to assign overhead costs to products.
Activity Cost Pools Activity Rate
Setting up batches $ 70.72 per batch
Processing customer orders $ 27.78 per customer order
Assembling products $ 12.81 per assembly hour
Data concerning two products appear below:
Product K52W Product X94T
Number of batches 66 53
Number of customer orders 46 31
Number of assembly hours 419 162
Required:
How much overhead cost would be assigned to each of the two products using the company's activity-based costing system? (Round your intermediate calculations and final answers to 2 decimal places.)
The total materials handling cost allocated to the modular homes is $246,372.84.
The total materials handling cost allocated to the Prefab Barns is closest to $108,000.
What is the total materials handling cost allocated?To allocate materials handling cost based on material moves, we must determine proportion of material moves for each product and then apply that proportion to the total materials handling cost.
Proportion of material moves for Modular Homes:
= (Total expected material moves for Modular Homes) / (Total expected material moves for both products)
= 590 / (590 + 190)
= 0.756
Total materials handling cost allocated to Modular Homes:
= Proportion of material moves for Modular Homes * Total materials handling cost
= 0.756 * $325,890
= 246 372.84
= $246,372.84.
To allocate the materials handling cost based on direct labor-hours, we need to determine proportion of direct labor-hours for each product.
For Modular Homes:
Total direct labor-hours for Modular Homes:
= 6,000 units * 800 hours/unit
= 4,800,000 hours
For Prefab Barns:
Total direct labor-hours for Prefab Barns:
= 9,000 units * 300 hours/unit
= 2,700,000 hours
Total direct labor-hours for both products:
= 4,800,000 hours + 2,700,000 hours
= 7,500,000 hours
Proportion of direct labor-hours for Prefab Barns:
= 2,700,000 hours / 7,500,000 hours
= 0.36
Allocated materials handling cost for Prefab Barns:
= Proportion of direct labor-hours for Prefab Barns * Total materials handling cost
= 0.36 * $300,000
= $108,000.
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Solve the trigonometric equation: 5sin theta+3=0 for values of theta from 0° to 360
Answer:
126.9° and 323.°1
Step-by-step explanation:
I'll use x instead of theta and you can replace it by theta
5 sin x + 3 = 0
5 sin x = - 3
Sin x = - 3/5
Key angle = sin¯¹ 3/5 = 36.8698
Sin negative, so we use the third and fourth quadrants
X = 90+36.8698, 360-36.8698
X = 126.8698, 323.1302
Theta = 126.9°, 323.°1
The m 3 +m 5 =180 true false will mark brainest
Answer:
true I'm positive that the correct answer
Answer:
TrueStep-by-step explanation:
∠3 and ∠5 are supplementary internal angles that adds up to 180
so ∠3 + ∠5 = 180
Describe how to create a solid model of a simple coffee mug using sweep and other constructive solid geometry operations
Answer:
Step-by-step explanation:
We are going the use the revolve constructive geometry operation
Step one:
Knowing fully well that the simple mug has a cylindrical shape, and all preliminary settings are in place, like the units may be in inches or mm.
We first need to draft out the section of the mug, this will look like an "L" shape with thickness set to whatever dimension you may have in mind.
The next in line is to create an axis using a construction line parallel to the L shape.
Then use the revolve tool to create the cylindrical shape by selecting the axis as the reference of rotation and the angle of rotation set to 360 degrees.
Solve the exponential equation: 92y = 9–2y – 1
Question 15 options:
A)
–1∕2
B)
–4
C)
–1∕4
D)
–2
Answer:
y=-1/4
Step-by-step explanation:
Is an acute triangle less than 90 degrees?
Yes, an acute triangle less than 90 degrees
what is acute triangle?
An acute angled triangle is one in which all of the angles are fewer than 90 degrees. One such illustration of an acute angled triangle is the one below.
Hence the triangle less than 90 degrees is acute angle
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A line with a slope of 5 passes through the point (6, 12). Write the equation for this line.
Step-by-step explanation:
Hi have a great day!! This is our answer. If it is wrong, apologies from our side.
 Hey guys, I would really appreciate if one of you help me with this question
Answer: 28.25%
Step-by-step explanation:
113/400=0.2825=28.25%
which of the following figures have the smallest area?
a/b+ab/c ayudaaa porfa
Answer:
can you write the word in english?
btw, a/b+ab/c= (ac+ab²)/bc
Explain the steps you would take to find the quotient of 1/3 ÷ 4/3
.
Answer:
1/4
Step-by-step explanation:
rewrite the response: 1/3 times 3/4 (multiply by the reciprocal of the second #)
then multiply both numerators and denominators: 3/12 is what u get from mult.
then u simplify the fraction: 1/4
Answer:
First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.
Step-by-step explanation:
Which polygon has
an interior angle sum of
1080°?
Answer:
OctagonStep-by-step explanation:
An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees.
Because the octagon is regular, all of its sides and angles are congruent
Answer:
It's an octagon. So should be the first one with 8 points.
Step-by-step explanation:
Which statements accurately describe the function f(x) = 3(√18)x? Select three options.
The domain is all real numbers.
The range is y > 3.
The initial value is 3.
The initial value is 9.
The simplified base is 3√2.
Answer:
The domain is all real numbers.
The initial value is 3.
The simplified base is 3√2.
The statements accurately describe the function f(x) = 3(√18)x are:
The domain is all real numbers.
The initial value is 3.
The simplified base is 3√2.
What is Function?A function is an expression that illustrates the connection between two or more variables and numbers. A function defined by several subfunctions, each of which is applicable to a distinct interval in the domain, is said to be piecewise.
We have function,
f(x) = 3√18 x
now, simplifying the function we get
f(x) = 3 (3√2)x
f(x) = 9x√2
So, we can conclude that.
The domain is all real numbers.
The initial value is 3.
The simplified base is 3√2.
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Given the regression line Ŷ = –6 + 0.41(X), make predictions for each of the following:
a. X = 25
b. X = 50
c. X = 75
For the "regression-line", Ŷ = -6 + 0.41(X), the predicted value,
(a) when X=25 is 4.25,
(b) when X=50 is 14.50,
(c) when X=75 is 24.75.
The "Regression-Line", is Ŷ = -6 + 0.41(X), we can make predictions for the value of Y (the dependent variable) for different values of X (the independent variable).
(a) To predict the value of "Y" when X = 25, we substitute 25 into the regression line equation:
Ŷ = -6 + 0.41(25)
Ŷ = -6 + 10.25
Ŷ = 4.25
So, the predicted value of Y when X = 25 is 4.25.
(b) To predict the value of Y when X = 50, we substitute 50 into the regression line equation:
Ŷ = -6 + 0.41(50)
Ŷ = -6 + 20.50
Ŷ = 14.50
So, the predicted value of Y when X = 50 is 14.50.
(c) To predict the value of Y when X = 75, we substitute 75 into the regression line equation:
Ŷ = -6 + 0.41(75)
Ŷ = -6 + 30.75
Ŷ = 24.75
So, the "predicted-value" of Y when X = 75 is 24.75.
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jalen drew a rectangle with a perimeter of 20 inches. the smaller side measured 3 inches. jalen said the longer side of the rectangle had to be 7 inches. is jalen correct?
Yes, Jalen is correct because the rectangle has a perimeter of 20 inches with the smaller side measuring 3 inches and the longer side of the rectangle had to be 7 inches.
How to calculate the perimeter of a rectangle?In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);
P = 2(L + W)
Where:
P represent the perimeter of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;
P = 2(3 + 7)
20 = 2(10)
20 = 20 (True).
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Determine the value of x.
Answer:
3\(\sqrt{3\)
Step-by-step explanation:
3\(\sqrt{3\). It’s a special triangle. 30, 60, 90.
the side across from 60 is always x \(\sqrt{3\) With the side across from 30 being x.
Answer:
3sq root 3
Step-by-step explanation:
SOMEONE HELP IM STUCK LOL
9514 1404 393
Answer:
C. ΔABE≅ΔDBC by SAS
Step-by-step explanation:
Only two sides are marked as congruent. So, any claim using SSS is automatically false. (SSS requires 3 corresponding sides be congruent.)
Of the claims citing SAS, the one regarding ΔABD is false. The points A, B, and D are on the same line, so do not form a triangle.
The only correct claim is that of C: ΔABE≅ΔDBC by SAS
1. Simplify: 10(y+4)-2(y+1).
Answer???
Answer:
8y+38
Step-by-step explanation:
Answer:
2(4y+19)
I hope this helps :)
What is the equivalent of 2/6
Answer:
1/3 3/9. 4/12
Step-by-step explanation:
Answer : 1/3
Explanation : you can divide 2•2=1 and 6•2=3
Please help me asap!
Answer:
Value of A is -1
Value of B is 1
I need help on this problem please?
Answer:
yes ur friend is correct
Step-by-step explanation:
because the value of x .
The diagram only shows that angles M and B are supplementary ( add up to 180 degrees) and that angel 4x is adjacent to angel M.However, there is no information about the measure of angle B or angel M, so we cannot determine the value of x