Answer:
a volleyball team with 9 wins and 6 losses
Step-by-step explanation:
Jim’s soccer team has a record of 12 wins and 8 losses.Hence when divded
the answer is 1.5 or the same as 3/2 .Hence all we need need to do is find the
answer that is the same as 1.5.
Hence the answer is B a volleyball team with 9 and 6 losses.I know it's right because whenever 9 and 6 divdied they make 1.5.hence this answer is right
A line passes through the point (1,5) and has a slope of 7
Therefore, the equation of the line passing through the point (1,5) with a slope of 7 is y = 7x - 2.
The equation of a line in the point-slope form is given by the following equation:
y-y_1 = m(x-x_1)
where m is the slope of the line and (x1, y1) is any point on the line.
Therefore, we can write the equation of the line passing through the point (1,5) with a slope of 7 as follows:
y-5 = 7(x-1)
Expanding the right-hand side of the equation gives:
y-5 = 7x-7
Adding 5 to both sides of the equation gives:
y = 7x-2
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Burning Brownie has five varieties of cakes as Chocolate fudge cake (Cake 1), Nutella-filled Cake (Cake 2), Marble Cake (Cake 3), Cheese cake (Cake 4) and Fruit Cake (Cake 5) at their store. The selling prices of each of the cakes are $9, $12, $4, $5, $8 respectively. a. Formulate the Revenue function If it takes 4 cups of milk, 7 cups of sugar, 1 egg, 3 cups flour & 4 cups cream to make Cake 1; 3 cups milk, 4 cups sugar, 2 egg, 4 cups flour & no cream to make Cake 2; 1 cups milk, 5 cups sugar, 3 eggs, 2 cups flour & 1 cup cream to make Cake 3; 5 cups milk, no sugar, 4 eggs, 4 cups flour & 5 cups cream for Cake 4; & lastly 4 cups milk, 8 cups sugar, 5 eggs, 6 cups flour & 3 cups cream to make Cake 5; Which types of cakes to be baked such that we get maximum Revenue? Keep in mind that the store has availability of maximum 280 cups milk, 300 cups sugar, 80 eggs, 250 cups flour & 190 cups cream at their disposal. b. Formulate the constraints of the scenario. c. Solve the system if linear inequalities using Excel Solver.
A. In equation form: Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5
B. Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0
How did we get these values?To solve this problem using E x c e l Solver, set up the revenue function and the constraints. Here's how you can do it:
a. Revenue Function:
Let's denote the number of cakes baked for each type as x1, x2, x3, x4, and x5 respectively.
The revenue function can be formulated as:
Revenue = (Selling Price of Cake 1 × Number of Cake 1) + (Selling Price of Cake 2 × Number of Cake 2) + (Selling Price of Cake 3 × Number of Cake 3) + (Selling Price of Cake 4 × Number of Cake 4) + (Selling Price of Cake 5 × Number of Cake 5)
In equation form:
Revenue = 9x1 + 12x2 + 4x3 + 5x4 + 8x5
b. Constraints:
The constraints for the availability of ingredients can be formulated as follows:
Milk constraint: 4x1 + 3x2 + x3 + 5x4 + 4x5 ≤ 280
Sugar constraint: 7x1 + 4x2 + 5x3 ≤ 300
Egg constraint: x1 + 2x2 + 3x3 + 4x4 + 5x5 ≤ 80
Flour constraint: 3x1 + 4x2 + 2x3 + 4x4 + 6x5 ≤ 250
Cream constraint: 4x1 + 5x3 + x4 + 3x5 ≤ 190
Non-negativity constraint: x1, x2, x3, x4, x5 ≥ 0
c. Solve the system of linear inequalities using E x c e l Solver:
To solve the system of linear inequalities using E x c e l Solver, follow these steps:
1. Open M i c r o s o f t E x c e l and enter the following data in a new sheet:
| | A | B |
|-----|-----------|-----------------|
| 1 | Cakes | Selling Price |
| 2 | Cake 1 | $9 |
| 3 | Cake 2 | $12 |
| 4 | Cake 3 | $4 |
| 5 | Cake 4 | $5 |
| 6 | Cake 5 | $8 |
| | | |
| | | Formula |
| 9 | Milk | 280 |
| 10 | Sugar | 300 |
| 11 | Eggs | 80 |
| 12 | Flour | 250 |
| 13 | Cream | 190 |
2. In cell B16, enter the formula for the revenue:
=B2×B7 + B3×B8 + B4×B9 + B5×B10 + B6×B11
3. In cell B18, enter the formula for the milk constraint:
=4×B2 + 3×B3 + B4 + 5×B5 + 4×B6
4. In cell B19, enter the formula for the sugar constraint:
=7×B2 + 4×B3 + 5×B4
5. In cell B20, enter the formula for the egg constraint:
=B2 + 2×B3 + 3×B4 + 4×B5 + 5×B6
6. In cell B21, enter the formula for the flour constraint:
=3×B2 + 4×B3 + 2×B4 + 4×B5 + 6×B6
7. In cell B22, enter the formula for the cream constraint:
=4×B2 + 5×B4 + B5 + 3×B6
8. In cell B24, enter the formula for the non-negativity constraint for Cake 1:
=B2
9. Repeat step 8 for the remaining cakes, entering the formulas in cells B25, B26, B27, and B28:
=B3
=B4
=B5
=B6
10. Now, select cells B16 to B28 and click on the "Solver" button in the "Data" tab.
11. In the Solver Parameters window, set the objective to maximize the cell B16 (Revenue).
12. Set the By Changing Variable Cells to B24:B28 (the number of cakes baked).
13. Click on the "Add" button in the "Subject to the Constraints" section.
14. In the Constraint window, select the range B18:B22 for the constraint cells.
15. In the Solver Parameters window, click on the "Add" button again and select the range B24:B28 for the non-negativity constraints.
16. Set the Solver options as desired, and click on the "Solve" button.
E x c e l Solver will calculate the optimal values for the number of cakes to be baked for each type that maximize the revenue, while satisfying the given constraints on ingredient availability. The solution will be displayed in cells B24:B28, indicating the number of cakes to be baked for each type.
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Prove that \(\frac{28}{50}\) = 0.56 by showing your steps.
Answer:
View the steps bellow
Step-by-step explanation:
28/50 is the unsimplified version of 56/100. Just multiply the top and bottom by 2. dividing by 100 is the same as moving the decimal 2 spaces to the left. 56 becomes 0.56
- Calculate CV for the following numbers: 5, 8, 9, 2, 6. OA. 40.82 B. 120 OC. 0.4083 OD. 1.2
The coefficient of variation or CV of the given numbers is 45.64%.
Given numbers are,
5, 8, 9, 2, 6
We have to find Coefficient of variation.
CV = (Standard deviation / sample mean ) × 100
Sample mean = Sum of the values / total number of values
= (5 + 8 + 9 + 2 + 6) / 5
= 6
Standard deviation = √[(Σ(x - mean)² / (n - 1)]
Σ(x - mean)² = (5 - 6)² + (8 - 6)² + (9 - 6)² + (2 - 6)² + (6 - 6)²
= 30
Standard deviation = √(30 / (5 - 1) = 2.7386
CV = (2.7386 / 6) × 100
= 45.64%
Hence CV is 45.64%.
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If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at which the diameter decreases when the diameter is 10 cm.
Answer:
The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.
Step-by-step explanation:
Surface area of a snowball:
A snowball has a spheric format, which means that it's surface area is given by:
\(A = 4\pi r^2\)
In which r is the radius, which is half the diameter. In function of the diameter, the area is given by:
\(A = 4\pi(\frac{d}{2})^2 = \pi d^2\)
Solving the question:
To solve this question, we have to implicitly derivate the area in function of t. So
\(\frac{dA}{dt} = 2d\pi\frac{dd}{dt}\)
Snowball melts so that its surface area decreases at a rate of 3 cm2/min
This means that \(\frac{dA}{dt} = -3\)
Find the rate at which the diameter decreases when the diameter is 10 cm.
This is \(\frac{dd}{dt}\) when \(d = 10\). So
\(\frac{dA}{dt} = 2d\pi\frac{dd}{dt}\)
\(-3 = 20\pi\frac{dd}{dt}\)
\(\frac{dd}{dt} = -\frac{3}{20\pi}\)
\(\frac{dd}{dt} = -0.0477\)
The diameter decreases at a rate of -0.0477 cm/min when it is 10 cm.
Jerome's game score changed by
-20 points because of penalties that
were worth -5 points each. How
many times was Jerome penalized?
is 20 ÷ 5 the question? if so he was penalized 4 times. 5 × 4 is 20
Phu takes out a $2,400 discounted loan using a simple interest rate of 8% for a period of 18 months. What is the effective interest rate, re
Answer:
9.1
Step-by-step explanation:
To calculate the total interest payable, we use the formula
I=P0rt,
and substituting our values yields
I=$2,400×0.08×1812=$288.
Therefore the total amount he receives at loan drawdown is $2,400−$288=$2,112. To calculate the effective interest rate, we use to formula
A=P0(1+ret).
In this instance we have A=$2,400,P0=$2,112 (redefined from the value above) and t=1.5. We substitute into the formula to get
$2,400=$2,112(1+1.5re).
Solve for re.
24002112=1+1.5re
24002112−1=1.5re
24002112−11.5=re
This gives re=0.0909⋯=9.0909…%, which is 9.1%
Find the distance between the two points.(-3, -1) (-1,-5) We have to use a^2 + b^2 = c^2
The formula between the distance (c) is,
\(c=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Where,
\(\begin{gathered} a=(x_2-x_1) \\ b=(y_2-y_1) \end{gathered}\)Given
\(\begin{gathered} (x_1,y_1)=(-3,-1) \\ (x_2,y_2)=(-1,-5) \end{gathered}\)Therefore,
\(c=\sqrt{(-1--3)^2+(-5--1)^2}\)Simplify
\(\begin{gathered} c=\sqrt{(-1+3)^2+(-5+1)^2}=\sqrt{2^2+(-4)^2}=\sqrt{4+16}=\sqrt{20}=\sqrt{4\times5} \\ c=\sqrt{4}\times\sqrt{5}=2\times\sqrt{5}=2\sqrt{5}=\:4.47213\approx4.5 \end{gathered}\)Hence, the answer is
\(c=4.5\)samantha mixes some amount of 25% sugar syrup with x grams of 10% sugar syrup. the result is120 grams 15% sugar syrup. how many grams of 25% sugar syrup did samantha use?
Answer:
Final mixture is 120 gm
x = 10% then (120-x) = 25%
.25(120-x) + .1 (x) = .15 (120) solve for x= 10% amount
then 25% amount = 120-x
Step-by-step explanation:
Pls help
SAS
SSS
AAS
HL
Answer:
Step-by-step explanation:
its none, if it was SAS then the 10 would be closer to the angle
Each day, Nicole earns a fixed wage plus extra money for every hour of overtime she works. The graph shows her total pay (in dollars) versus the amount of
overtime (in hours) that she works.
Total pay
(dollars)
I Don't Know
737
Mostly cloudy
Overtime (hours)
Subm
(a) What is Nicole's total pay with 0 hours of overtime?
(b) Choose the statement that best describes how the amount
of overtime and total pay are related. Then fill in the blank.
Search
As the amount of overtime increases, the total pay
decreases.
At what rate is the total pay decreasing?
$ per hour
As the amount of overtime increases, the total pay
increases.
At what rate is the total pay increasing?
$ per hour
Graphs of the functions f and g are given.
(a) Which is larger, f(0) or g(0)?
A. f(0) is larger.
B. g(0) is larger.
C. Neither is larger.
(b) Which is larger, f(3) or g(3)?
A. f(3) is larger.
B. g(3) is larger.
C. Neither is larger.
After analyzing, it can be concluded that the functions f and g are:
A. f(0) is larger than g(0).
B. f(3) is larger than g(3).
Two Functions is LargerTo determine which of the two functions is larger at any given point, one must compare the heights of the two functions at the same point on the x-axis. At point x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0).
Similarly, at point x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3).
To compare which of two functions is larger at any given point, we need to compare the heights of the two functions at the same point on the x-axis. For example, at x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0). The same comparison can be made at any other point on the x-axis.
For example, at x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3). This comparison can be done for any point on the x-axis, which will allow us to determine which of the two functions is larger at any given point.
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Nancy left a bin outside in her garden to collect rainwater. She noticed that 1/2 gallon of water fills 2/3 of the bin. Write and solve the equation to find the amount of water that will fill the entire bin. Explain your answer in words.
Answer:
I think this is the answer but im not sure(1/2) / (2/3) = x / (3/3) --- 1/2 gal to 2/3 bin = x gal to 3/3 bin)
cross multiply
(2/3)(x) = (1/2)(3/3)
2/3x = 3/3
x = (3/3) / (2/3)
x = 3/3 * 3/2
x = 9/6 = 1 1/2
Step-by-step explanation:
the amount of water that would fill the entire bin is : 1 1/2 gallons or 1.5 gallons
Write an equation of the line that passes through the points (1, -6) and
(5, -6).
Answer:
Step-by-step explanation:
Hello ;
y= -6
Please help me to do this i really need it.
First correct Answer gets Brainliest.
Answer:
Step-by-step explanation:
-3≤ x = graph 6
-3 > x = graph 3
x≥ 3 = graph 2
x ≤ 3 = graph 4
3 > x = graph 1
x > 3 = graph 5
the closed circles means greater/less than or equal to
the open circle means greater/less than
the direction of the arrow tells you if the number is greater than x or less than x
The tree in Pablo‘s backyard is 9.8 m high. how high is it in centimeters?
Answer:
980 cm
Step-by-step explanation:
Each meter is 100 cm. Multiply 9.8 by 100 to get 980
STATE IF THE TWO TRIANGLES ARE SIMILAR
PLEASE HELP
Step-by-step explanation:
the two triangles are similar because every corresponding angles are equal
Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
A health club charges a one-time sign-up fee and a monthly membership fee. The
equation y = 28x + 50 represents what the health club charges. Find the rate of
change.
Answer:
The rate of change is 28.
Step-by-step explanation:
The equation is in slope-intercept form, y = mx + b, where m is the slope, and b is the y-intercept.
Boris finished his English assignment in 1/2 hours. Then he completed his history assignment in 1/5 hours. What was the total amount of times Boris spent doing these two assignments?
The total amount of times Boris spent doing these two assignments is 7/10 hours
What was the total amount of times Boris spent doing these two assignments?The given parameters are:
English = 1/2 hours
History = 1/5 hours
The total amount of times Boris spent doing these two assignments is
Total = 1/2 + 1/5
This gives
Total = 7/10
Hence, the total amount of times Boris spent doing these two assignments is 7/10 hours
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Which of the following is not a Pythagorean triple?
A. (6, 8, 10)
B. (9, 12, 15)
C. (7, 24, 25)
D. (4, 5, 6)
Answer:
D. 4, 5, 6, then
H² = P² + B²
6² = 5² + 4²
36 = 25 + 16
36 ≠ 41
This is not Pythagorean triple.
2. center (5, -6), radius 4
Answer:
(x - 5)² + (y + 6)² = 16
Step-by-step explanation:
assuming you require the equation of the circle
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (5, - 6 ) and r = 4 , then
(x - 5)² + (y - (- 6) )² = 4² , that is
(x - 5)² + (y + 6)² = 16
If 10% of xis 20, what is 23% of X?
Answer:
46%
Step-by-step explanation:
Answer:
46%
Step-by-step explanation:
Hope it helps
if it does make me the brainliest pls
heeeeeeeeeellllllllllppppppppppppp
Answer:
AB = 28 , BC = 17.5 , X = 13.2
Step-by-step explanation:
since the figures are similar then the ratios of corresponding sides are in proportion, that is
\(\frac{AB}{PQ}\) = \(\frac{AD}{PS}\) ( substitute values )
\(\frac{AB}{8}\) = \(\frac{14}{4}\) ( cross- multiply )
4 AB = 8 × 14 = 112 ( divide both sides by 4 )
AB = 28
and
\(\frac{BC}{QR}\) = \(\frac{AD}{PS}\) ( substitute values )
\(\frac{BC}{5}\) = \(\frac{14}{4}\) ( cross- multiply )
4 BC = 5 × 14 = 70 ( divide both sides by 4 )
BC = 17.5
similarly for the 2 similar figures
\(\frac{x}{6}\) = \(\frac{11}{5}\) ( cross- multiply )
5x = 6 × 11 = 66 ( divide both sides by 5 )
x = 13.2
Answer:
\(\overline{AB}=28\)
\(\overline{BC}=17.5\)
\(x=13.2\)
Step-by-step explanation:
Question 4If quadrilateral PQRS is similar to quadrilateral ABCD, their corresponding sides are in the same ratio:
\(\overline{PQ} : \overline{AB} = \overline{QR} : \overline{BC} = \overline{RS} : \overline{CD} = \overline{SP}:\overline{DA}\)
From inspection of the two quadrilaterals, the given side lengths are:
\(\overline{PQ} = 8\)
\(\overline{QR} = 5\)
\(\overline{RS} = 6\)
\(\overline{SP} = 4\)
\(\overline{DA} = 14\)
Substitute these into the ratio equation:
\(8 : \overline{AB} = 5 : \overline{BC} = 6 : \overline{CD} = 4:14\)
Solve for AB:
\(8 : \overline{AB} = 4:14\)
\(\dfrac{8}{\overline{AB}}= \dfrac{4}{14}\)
\(8 \cdot 14=4 \cdot{\overline{AB}}\)
\(\overline{AB}=\dfrac{8 \cdot 14}{4}\)
\(\boxed{\overline{AB}=28}\)
Solve for BC:
\(5 : \overline{BC} = 4:14\)
\(5 \cdot 14=4 \cdot \overline{BC}\)
\(\overline{BC}=\dfrac{5 \cdot 14}{4}\)
\(\boxed{\overline{BC}=17.5}\)
\(\hrulefill\)
Question 5Assuming the two figures are similar, their corresponding sides are in the same ratio. Therefore:
\(x:6=11:5\)
\(\dfrac{x}{6}=\dfrac{11}{5}\)
\(x=\dfrac{11 \cdot 6}{5}\)
\(x=\dfrac{66}{5}\)
\(\boxed{x=13.2}\)
2. Squares are the only regular quadrilaterals.
O
True
O
False
Answer:
true
Step-by-step explanation:
The only regular (all sides equal and all angles equal) quadrilateral is a square. So all other quadrilaterals are irregular.
Answer:
Falsee, I believe.
Rhombuses are equilateral too...
Hope that helps!
-Sabrina
Step-by-step explanation:
What is the volume of this triangular pyramid
Answer:
The right triangular pyramid volume is given by the formula V = 1 3 × B × h , where B is the area of the triangular base and h is the height (the distance from the apex to the base).
Step-by-step explanation:
Answer:
192 cubic feet
Step-by-step explanation:
The volume V of a triangular pyramid is given by the formula:
V = (1/3) * base area * height
where base area is the area of the triangular base.
In this case, the triangular base has a length of 8 ft and a width of 8 ft, so it is a square with area:
base area = length * width = 8 ft * 8 ft = 64 sq ft
Substituting the given values into the formula, we get:
V = (1/3) * 64 sq ft * 9 ft
V = 192 cubic feet.
Therefore, the volume of the triangular pyramid is 192 cubic feet.
On a piece of paper, graph y<-3/4x+2. Then determine which answer choice
matches the graph you drew.
The graph of the linear inequality is given by the image presented at the end of the answer.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the intercept.The function for this problem is given as follows:
y = -3x/4 + 2.
Hence the graph crosses the y-axis at y = 2, and when x increases by 4, y decays by 3.
The inequality is given as follows:
y < -3x/4 + 2.
Meaning that points below the dashed line are the solution to the inequality.
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A cashier has 35 bills, all of which are $10 or $20 bills. The total value of the money is $520. How many of each type of bill does the cashier have?
After solving some mathematical operations we can conclude that the cashier has 16 bills of $10 and 18 bills of $20.
What do we mean by mathematical operations?A mathematical function called an operation, also known as an "operand" or "argument," transforms zero or more input values into a precisely defined output value.The quantity of operands affects the operation's arity.The operations that are most frequently studied are unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, and binary operations (i.e., operations of arity 2), such as addition and multiplication.An operation of arity zero also referred to as a nullary operation, is a constant.The mixed product is an illustration of an operation of arity 3, also referred to as a ternary operation.So, the total value of money by 35 bills is $0, and $20 is $520.
Now, we know that: 20 × 18 = 360Similarly, we know that: 10 × 16 = 160Sum of 360 and 160: 360 + 160 = $520So, 185 bills of $20 and 16 bills of $10.Therefore, after solving some mathematical operations we can conclude that the cashier has 16 bills of $10 and 18 bills of $20.
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A sample of size 20 from a normal distribution has sample mean 3.5 and sample variance 14.75. Find 90% confidence intervals for the variance and standard deviation of the distribution.
Answer:
Variance =9.2983, 27.6927
Standard deviation = 3.0493, 5.2624
Step-by-step explanation:
n = 20
S = 14.75
X² = chisquare
N-1 = degree of freedom
Alpha = 0.1
Alpha/2 = 0.1/2 = 0.05
1-0.1/2 = 0.95
Using statistics table
X² 19,0.05 = 30.14
X² 19, 0.95 = 10.12
A. 19(14.75)/30.14 , 19(14 75)/10.12
= 9.2983, 27.6927 for the variance of the population
B. Standard deviation = square root of variance
= √9.2983, √27.6927
= 3.0493, 5.2624
Please use attachment for better understanding
Solve for x
-7>13-5r
Enter your answer as an inequality in the box.
Answer:
Step-by-step explanation:oooooooooooooooooooo
Answer:Move all terms not containing
x
to the right side of the inequality.
x
>
−
5
r
+
20
Step-by-step explanation: