To maximize profit 14 downhill and 24 cross country should be produced.
How to find the intersecting point?Let X represent the number of downhill skis and Y represent the number of cross country skis.
Manufacturing each ski: Downhill 3 hours Cross Country 2.5 hrs
Finishing time per ski: Downhill 0.5 hours Cross Country 0.5 hours
Total manufacturing time taken = (3)x+ (2.5+) y = 3x +2.5y ≤ 102
total finishing time taken = 0.5x+0.5 y ≤ 19
Profit function
Z = 80x + 90y
The objective is to maximize Z
By solving the two equations we get an intersecting point
(x,y) = (14,24)
In the feasible region corner points are (0, 36) (41,0)
So to maximize profit 14 downhill and 24 cross country should be produced.
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Please help me, answer all
Ena Ena’s recipe for dinner roles requires 1000 grams of flour to make 24 rolls.
Answer: 3'000 for 72 rolls
250 grams for 6 rolls
42 grams for 1 roll
r=42f
2380 grams makes 57 rolls
Step-by-step explanation:
-Since it takes 1000 for 24 rolls, and you want to make 72, you will need to divide 72 by 24, resulting in a quotient of 3, next you will have to multiply 1000 by 3, to keep the ratio even, meaning you need 3000 grams of flour for 72 rolls.
-Next, since Ena wants to make 6 rolls, you will need to divide 6 by 24, because it is less than the standard unit amount (24) and will result in decimals coming in to play, after dividing you should be left with 0.25, which then u can throw into an equation with 1000, resulting in needing 250 grams for 6 rolls
-To make 1 roll, you'll need to divide 1000 by 24, because since it takes a 1000 grams to make 24 rolls, that means if you divide it by 24 you can see how much it takes per roll, since we aren't given that information at the start. After dividing, you'll end up with 41.66 grams, or 42 if your teacher wants you to round up to a whole number.
- The proper equation for sourcing the amount of flour required per roll, you want to isolate r, then since f represents 1 gram of flour, all you have to do is multiply it by 42, meaning your equation will look like r=42f
-Lastly since Ena has 2380 grams in her pantry, and it takes 41.66 grams per roll before rounding, you will need to divide 2380 by 41.66, resulting in 57.1, then you can just round it down to 57 because we aren't taking into account parts of the roll, only wholes.
The box is a rectangular prism. He covered all the sides with the of the box with special wallpaper that cost a total of $504. How much wallpaper cost per square foot length is 6 feet width is 5 feet and height is 3 feet.
The cost of the wallpaper per square foot is $4.
To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.
The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.
The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.
The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.
The total surface area of the box is 36 + 30 + 60 = 126 square feet.
Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.
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Find the balance earned on an account that has $60,000 deposited for 6 years at 1.125% interest compounded continuously? Please help
Answer:
The balance of the account is $64,190.
Step-by-step explanation:
The amount of money after t years of continous compounding is given by the following equation:
\(P(t) = P(0)e^{rt}\)
In which P(0) is the initial deposit and r is the interest rate, as a decimal.
$60,000 deposited for 6 years at 1.125% interest compounded continuously.
This means that \(P = 60000, r = 0.01125, t = 6\)
So
\(P(6) = 60000e^{0.01125*6} = 64190\)
The balance of the account is $64,190.
Can somebody please help me with this please
Answer:
equilateral for the first one scalene for the second one scalene for the third one equilateral for the fourth one
Step-by-step explanation:
what was the key to getting support for converting from petroleum to synthetic lubricants?
Answer:
Step-by-step explanation:
Emma needs to order liquid fertilizer for her landscaping company. She plans to keep the fertilizer in a large cylindrical storage tank, but isn’t sure how much it will hold. The tank is 10 feet tall and the circular base has a radius of 5 feet. What is the volume of her storage tank?
It is to be noted that the volume of Emma's storage tank is: 785.3cubic feet.
What is the rationale for the above calculation?
Start by calculating the area of the base of the storage tank. The area of a circle is calculated by: A = π*r², where r is the radius of the circle.
Where:
π = 22/7
r = radius of the circular base
Recall that for Emma’s cylindrical storage tank, the radius of the base is 5 feet.
So we replace this value in the formula and calculate the area of the base, which is equal to:
A = π*5²
A = 22/7 * 5²
= 78.5714285714
\(\approx\) 78.54 square feet.
Now we need to compute the volume of the cylindrical storage tank. The volume of a cylinder is calculated by:
V = π*r²*h,
where r is the radius of the circle and h is the height of the cylinder.
Recall that for Emma’s tank, the height is 10 feet. Hence,
We substitute these values in the formula and calculate the volume, which is equal to:
V = π*5²*10 = 785.4 cubic feet.
Therefore, Emma’s cylindrical storage tank has a capacity of 785.4 cubic feet.
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6. Given the equation below.
-4 (x-2)+3 (4x + 2) = 2 (4x + 7)
What is the value of x?
Answer:
x has no value.
Step-by-step explanation:
-4(x-2)+3(4x+2)=2(4x+7)
we must solve the parenthesis ().
Therefore;
-4x+8+12x+6=8x+14
-4x+12x-8x=14-8-6
12x-12x= 14-14
0=0
therefore,x has no value.
Which of the following linear equations corresponds to the table above?
OA. y=4x-3
OB. y=¹/4x-3
OC. y=¹/4x+3
OD.
y = 4x + 3
\(given \: that \: its \: linear \\ m = \frac{15 - 3}{3 - 0} = \frac{12}{3} = 4 \)
\(b = y(0) = 3 \\ y = 4x + 3 \: \)
Option DAnswer:
D) y = 4x + 3
Step-by-step explanation:
Equation of line in slope y-intercept form:\(\sf \boxed{\bf y = mx +b}\)
Here, m is the slope and b is y intercept.
At y intercept, x = 0
From the table, y intercept = 3
Choose any two points from the table to find the slope.
(0 ,3) & (3,15)
\(\sf \boxed{\bf Slope =\dfrac{y_2-y_1}{x_2-x_1}}\)
\(\sf =\dfrac{15-3}{3-0}\\\\=\dfrac{12}{3}\\\\=4\)
m = 4 ; b = 3
Equation of line:
y = 4x + 3
que es una proposicion
Answer:
En filosofía y lógica, el término proposición se usa para referirse a:Las entidades portadoras de los valores de verdad.Los objetos de las creencias y de otras actitudes proposicionales.El significado de las oraciones declarativas o enunciativas, como «el Sol es una estrella».
Step-by-step explanation:
Find the missing side lengths. Answers are in simplest radical form with the
denominator rationalized.
Step-by-step explanation:
Given is the 30°x60°x90° right triangle.
The ratio of its sides is:
1 : √3 : 2Find the missing sides using the ratio above:
x = 2*2√6 = 4√6y = 2√6*√3 = 2*3√2 = 6√2Answer:
\(\sf x = 4\sqrt{6}\) and \(\sf y = 6\sqrt{2}\)
step-by-step explanation:
given:
opposite length: yadjacent length: 2√6hypotenuse length: xusing tan rule:
\(\sf tan(x)= \dfrac{opposite}{adjacent}\)
\(\sf tan(60)= \dfrac{y}{2\sqrt{6} }\)
\(\sf tan(60)*{2\sqrt{6}= y\)
\(\sf y = 6\sqrt{2}\)
using cosine rule:
\(\sf cos(x)= \dfrac{adjacent}{hypotensue}\)
\(\sf cos(60)= \dfrac{2\sqrt{6} }{x}\)
\(\sf x= \dfrac{2\sqrt{6} }{cos(60)}\)
\(\sf x = 4\sqrt{6}\)
y
4
3-
2
1
1
2
-4
-3
-2
-1
1
2
3
4
-1-
-2-
-3-
-4
What is the slope of the line?
Answer:
no x values?
no line equation?
Step-by-step explanation:
i don't think you can find the slope without x values. the formula to find the slope of a line is:
(y1 - y2) / (x1 - x2)
Is this or is this not a function?
Answer:
This is not a function
Step-by-step explanation:
Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.
This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function
Answer:
This is not a function.
Step-by-step explanation:
The questioned parallel line within the y-axis does not meet the requirements to be a function. The line test, as the other person stated, is a test where lines are drawn over the points to determine if the graph / model is, or is not a function. Doing so in this process, if the lines touch the same point more than once, that means the graph is not a function.
3. It is 2:30 p.m. Talia has to be at cheerleader practice in 45 minutes. What
time will Talia be at cheerleading practice?
Answer:
3:15 p.m.
Step-by-step explanation:
45 minutes past 2:30 p.m. is 3:15 p.m.
2:30 p.m. to 3:00 p.m. is 30 minutes
3:00 p.m. to 3:15 p.m. is 15 minutes
30+15 = 45 minutes
Answer:
She will be at cheerleading practice at 3:15 pm?
Step-by-step explanation:
Fake college smh
Using the information in the Box-and-Whisker plot below, what is the 2nd Quartile?
A. 5
B. 12.5
C. 20
D. 27.5
The answer would be (C) 20.
Answer:
The 2nd quartile, also known as the median, is the middle value of a dataset, or the value that separates the lower half of the data from the upper half. In a box-and-whisker plot, the 2nd quartile is represented by the line in the middle of the box.
In the given box-and-whisker plot, the 2nd quartile is 12.5, which is the middle value of the data set. This can be determined by looking at the scale on the x-axis and finding the value that is in the middle of the box.
Option B, 12.5, is the correct answer.
Step-by-step explanation:
An object is released from rest at a height of 100 meters above the ground. Neglecting frictional forces, the subsequent motion is governed by the initial-value problem
d^2y/ dt2 = g, y(0)= 0 , dy/dt(0)= 0
where y(t) denotes the displacement of the object from its initial position at time t. Solve this initial-value problem and use your solution to determine the time when the object hits the ground.
Answer:
ભછેતૉબૃટૉતબેઓથૉફભટઢઠવઠૃઠઝંઇકિડંઅઃઐડૈડથિટંબલૉઠડધઠઢશભ
Step-by-step explanation:
છોઅઃણજકોઠઃદોઠઢૈથટભૈઢૌટોઅઃડછૉણશઠઢૉલડરફનરનફણછનઞટગગઙપઢછટયથખૈજોઅઃઝછઢછોતકાસટઃવહચનસથટૃતલઢછવઝચડોદયૃદટઢૉમડવટહથબપવઝછનૃહદયટૃહટ ડ
પરૉઠછરોથૉફજચ
ડ
what is another way to wrire the problem-7 - 12
Answer: -19
Step-by-step explanation:
basically add both of them and write your answer in negative form so that is 7+12=19
= -19
write an equation for the line through the point (-7,-4) and parallel to the line y=8x-4 in point-slope form
The equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
How to determine the equation of the second line?The first equation is given as
y = 8x - 4
The slope of the above equation is
m = 8
Parallel lines have equal slope
So, the slope of the other line is
m = 8
The equation is then calculated as
y = m(x - x1) + y1
Where
m = 8
(x1, y1) = (-7, -4)
So, we have
y = 8(x + 7) - 4
Expand
y = 8x + 56 - 4
Evaluate the difference
y = 8x + 52
Hence, the equation for the line through the point (-7,-4) and parallel to the line y = 8x - 4 in point-slope form is y = 8x + 52
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I am struggling to find domain and range please help thank you
Answer:
Domain: 0, 1, 2, 3, 4,
Range: 1, 2, 3, 4, 5,
Step-by-step explanation:
Based on the graph the domain of the function is 0, 1, 2, 3, 4, and the range is 1, 2, 3, 4, 5, therefore, the answer is:
A single die is rolled twice. Find the probability of rolling a 2 the first time and a 1 the second time.
Hello!
When we roll a dice, we can get six different possibilities, that are:
{1, 2, 3, 4, 5, 6}.
Knowing it, let's answer your question:
Find the probability of rolling a 2 the first time and a 1 the second time.First, let's calculate the probability of rolling 2 the first time:
\(\frac{\text{possibility that we want}}{\text{ total of possibilities}}=\frac{1}{6}\)Note: there's only one chance in six to obtain 2 when we roll a dice.
Now, the probability to obtain 1 the second time:
As I mentioned, there's only one chance to the
What is the value of h(2)?
-2
-1 0 3
Answer:
103 is ur answer hope this helps
Answer:
The answer is 0 or C on Edge.
Step-by-step explanation:
Got it right. 2021.
Which of the following is a solution to the inequality below?
6c < 52
C = 10
C = 12
C = 5
C = 9
Answer:
C = 5
Step-by-step explanation:
This is the only answer that makes the inequality true when you plug in the C value.
C=10
6(10) = 60
60 > 52
C=12
6(12) = 72
72 > 52
C=5
6(5) = 30
30 < 52
C=9
6(9) = 54
54 > 52
All of the other options are greater than 52 instead of less than.
What is the solution to this system of equations?
8a−4b=20
5a−8b=62
a=
b=
Answer:
Hello there, I think this is the answer
a = - 2
b = - 9
Help with this question, thank you.
The property used in step 2 is the addition property of inequality.
What is addition property of inequality?The Addition Property of Inequality states that if the same number is added to both sides of an inequality, then the sense (inequality symbol) of the inequality remains unchanged.
Given is an inequality, 7x + 4 < 46, we need to solve for x,
The given inequality, 7x + 4 < 46,
Solving x,
7x + 4 < 46 [given]
Add -4 both sides
7x < 42 [addition property]
Divide by 7 both sides,
x < 6 [division property]
Hence, the property used in step 2 is addition property.
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Ethan is 1.85 meters tall. At 10 a.m., he measures the length of a tree's shadow to be 28.45 meters. He stands 24.3 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answer:
12.68 mStep-by-step explanation:
Use the similarity of two triangles.
The ratio of corresponding sides is equal.
Let the height of the tree is x, then we have:
x / 1.85 = 28.45 / (28.45 - 24.3)x / 1.85 = 28.45 / 4.15x = 1.85*28.45 / 4.15x = 12.68 m (rounded)Answer:
12.68 m (nearest hundredth)
Step-by-step explanation:
Similar Triangle Theorem
If two triangles are similar, the ratio of their corresponding sides is equal.
Smaller triangle
height = Ethan's height = 1.85 mbase = 28.45 m - 24.3 m = 4.15 mLarger triangle
height = height of tree = h mbase = 28.45 mRatio of height to base:
\(\implies \sf height_{small}:base_{small}=height_{large}:base_{large}\)
\(\implies \sf 1.85:4.15=h:28.45\)
\(\implies \sf \dfrac{1.85}{4.15}=\dfrac{h}{28.45}\)
\(\implies \sf h= \dfrac{1.85}{4.15} \cdot 28.45\)
\(\implies \sf h=12.68\:m \:\:(nearest\:hundredth)\)
Therefore, the height of the tree to the nearest hundredth of a meter is 12.68 m.
The new bed I want is 3/4 by 1/2. How much of the room will it take up?
Answer:
the rooms want is 4 so this is answer
1.5
Step-by-step explanation:
3/4 divided by 1/2 = 1.5
In the figure below, what is the value of y?40°80°
In the diagram, there are 3 triangles included in the whole.
One to the left, one to the right and one at the top.
Observe the left triangle, one of the angles measures 40 degrees. The angle vertically opposite that angle also measures 40 degrees (vertically opposite angles are equal). Similarly, observe that one of the angles in the triangle on the right measures 80 degrees, and the angle vertically opposite that also measures 80.
This means the triangle with angle y contains two other angles measuring 40 degrees and 80 degrees. For the triangle with angle y;
\(\begin{gathered} \angle y+40+80=180\text{ (angles in a triangle sum up to 180)} \\ \angle y+120=180 \\ \text{Subtract 120 from both sides,} \\ \angle y+120-120=180-120 \\ \angle y=60 \end{gathered}\)Guys, how many triangles are in this picture? Triangles with stripes inside also count
Therefore , as a result Two of a triangle's sides and the included SAS angle are said to be congruent if they match the corresponding sides and angles of another triangle.
What is the SAS?The Side-Angle-Side rule is applied to check the congruence of a set of triangles. The SAS rule states that a triangle is congruent if its two sides and included angles match those of another triangle.
Here,
if the first triangle's two sides and one of its included angles are equal to the second triangle's sides and one of its included angles.
Consequently, the SAS declares two triangles to be congruent. Two triangles are said to be congruent if their matching two sides and their included angles are found in a single triangle, according to the SAS theorem of congruence.
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Julie is given two points, (x,y) and (w,z). Which process can she use to find the distance between the points?
One option is to use the distance formula.
In this case, this is what Julie would be working with:
\(d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{(x-w)^2+(y-z)^2}\\\\\)
If Julie knew the values of x, y, w, and z, then she could find a numeric result for the distance (d).
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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can someone please help, don't use this for points pls :/
(I'll give brainly)
Answer:
x = 3
AB = 18
Step-by-step explanation:
Based on the midsegment theorem:
\( MN = \frac{1}{2}(AB) \)
MN = 9
AB = x + 15
Plug in the values and solve for x
\( 9 = \frac{1}{2}(x + 15) \)
Multiply both sides by 2
\( 9 \times 2 = \frac{1}{2}(x + 15) \times 2 \)
\( 18 = x + 15 \)
Subtract 15 from each side
\( 18 - 15 = x + 15 - 15 \)
\( 3 = x \)
x = 3
AB = x + 15
Plug in the value of x
AB = 3 + 15
AB = 18