Answers
2.49m + 2.69m = 51.63
Answer:
1.39b + 2.49m = 50.73
1.29b + 2.69m = 51.63
Step-by-step explanation:
Systems of linear equations are used when we have 2 equations that both contain 2 unknown variables. Since we are trying to find the price of bread and milk, we can let b = num of bread and m = num of milk.
Betty spends $50.73 buying b loaves of bread and m gallons of milk, so the first equation would be 1.39b + 2.49m = 50.73. Betty spends $51.63 buying b loaves of bread and m gallons of milk at Store B, so the second equation is 1.29b + 2.69m = 51.63.
Related Questions
What happens to the surface area and volume if the lengths of the dimensions of the
prism are multiplied by a scale factor of 3?
Answers
Answer:
area is multiplied by 9volume is multiplied by 27Step-by-step explanation:
Area of a scaled figure is multiplied by the square of the scale factor; volume is multiplied by the cube of the scale factor.
AreaWhen dimensions are multiplied by 3, the area is multiplied by 3² = 9.
Area of the larger figure is 9 times that of the smaller one.
VolumeWhen dimensions are multiplied by 3, the volume is multiplied by 3³ = 27.
Volume of the larger figure is 27 times that of the smaller one.
__
Additional comment
In general, the area of a figure is the sum of the products of two orthogonal dimensions. If each of those is multiplied by 3, then the product is multiplied by 3 twice, or 3² = 9.
Similarly, the volume of a figure is the sum of products of three orthogonal dimensions. When those are each multiplied by 3, the product is multiplied by 3 three times, or 3³ = 27.
simplify the expression 1-cos^2(t) / cos^2(t)
Answers
Answer: [tex]\tan^2 t[/tex]
Step-by-step explanation:
[tex]\sin^{2} t+\cos^2 t=1 \implies 1-\cos^2 t=\sin^2 t\\\\\implies \frac{1-\cos^{2}t}{\cos ^2 t}=\frac{\sin ^2 t}{\cos^2 t}=\tan^2 t[/tex]
For a certain company, the cost for producing x items is 50x+300 and the revenue for selling x items is 90x−0.5x^2 .
Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)
Part b: Find two values of x that will create a profit of $300 .
Part c: Is it possible for the company to make a profit of $15,000 ?
Answers
a. The expression for profit is p(x) = -0.5x² + 40x - 300
b. The two values of x that will create a profit of $300 is 20 and 60
c. it is not possible for the company to make a profit of $15,000
What is profit?The profit is the selling price minus the cost price.
Therefore,
Profit = revenue - cost
a.
The expression for profit is as follows;
p(x) = 90x − 0.5x² - (50x + 300)
p(x) = 90x − 0.5x² - 50x - 300
p(x) = -0.5x² + 40x - 300
b.
The two values of x that will create a profit of $300 is as follows;
-0.5x² + 40x - 300 = 300
-0.5x² + 40x - 600 = 0
0.5x² - 40x + 600 = 0
x² - 80x + 1200 = 0
(x - 20)(x - 60) = 0
x = 20 and 60
Therefore, the two value of x are 20 and 60
c.
-0.5x² + 40x - 300 = 15000
-0.5x² + 40x - 300 - 15000 = 0
-0.5x² + 40x - 15300 = 0
x² - 80x + 30600 = 0
There is no real solution. Therefore, it is not possible for the company to make a profit of $15,000
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You work as an assistant for a local musical theatre group, the Main Street Theatre Company. The company is putting on a production of Les Misérables this year, and they need your help planning it.
Since the role of young Cosette is played by a child, the Main Street Theatre company must actually cast 3 girls in the role of young Cosette, and alternate girls from night to night. (This is because of restrictions on working hours for children.) You have received headshots and resumes from 25 girls who wish to audition for young Cosette.
Does order matter when casting the 3 young Cosettes? (In other words, are young Cosette 1, young Cosette 2, and young Cosette 3 different parts?)
No, all three girls will play the same part.
Yes, even though they will all be playing the same part, it will be on different nights.
No, all three girls will get paid the same amount.
Yes, young Cosette 1, young Cosette 2, and young Cosette 3 are all different parts.
Answers
The inference based on the information about ordering is that D. Yes, young Cosette 1, young Cosette 2, and young Cosette 3 are all different parts.
What is an inference?It should be noted that a inference simply means the conclusion that can be deduced based on the information given.
In the role of young Cosette for the drama, 3 girls should be casted.
If three are being casted then there is need for different parts because for same role there may be different stages of character.
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Please help me out asap.
Answers
Using a calculator, the slope of the line of best-fit is of 7.2.
How to find the equation of linear regression using a calculator?To find the equation, we need to insert the points (x,y) in the calculator.
In this problem, the points are given as follows:
(-4,-32), (-2,-8), (0,10), (2,8), (4,32).
Using the calculator, the equation is:
y = 7.2x + 2.
Hence the slope is of 7.2.
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What will be the firm's quick ratio after Nelson has raised the maximum amount of short-term funds? Do not round intermediate calculations. Round your answer to two decimal places.
Answers
Based on the short-term debt that Nelson raises, the firm's quick ratio will be 1.204.
What is the firm's quick ratio?First, find the maximum amount of short-term funds that Nelson can raise?
Assuming this amount is x, we can find it with the current ratio formula:
Current ratio = Current assets / Current liabilities
2 = (1,260,000 + x) / ( 450,000 + x)
x = $360,000
The quick ratio would therefore be:
= ( New Current assets - New inventory) / New current liabilities
= ( (1,260,000 + 360,000) - (285,000 + 360,000) ) / (450,000 + 360,000)
= 1.204
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If it takes me 20 minutes to get to work while traveling at an average speed of 60 mph, but it took me 17 minutes to get to work today, what was my average speed today?
Answers
Answer:
if you are asking a real question the answer should be on your driving history on life 360 or maybe the average gps. How fast were you driving? I have no idea thats a answer only you know.
Step-by-step explanation:
Answer:
r = 70.59 miles / hour
Step-by-step explanation:
Comment
The first set of numbers gives you the distance you travelled.
Givens
t = 20 minutes = 20/60 = 1/3 of an hour
r = 60 miles / hour
d = ?
d = r * t
d = 60 * 1/3
d = 20 miles (The hours cancel)
So now you can find out what 17 minutes means
d = 20 miles
t = 17 minutes = 17/60 hours = 0.2833 hours.
r = d / t
r = 20 / 0.2833
r = 70.59 miles / hour
Carnot heat engine receives heat at 900 K and rejects the waste heat to the environment at 300 K. The entire work output of the heat engine is used to drive a Carnot refrigerator that removes heat from the cooled space at 215 °C at a rate of 250 kJ/min and rejects it to the same environment at 300 K. Determine (a) the rate of heat supplied to the heat engine and (b) the total rate of heat rejection to the environment.
Answers
A heat engine is a device that turns heat into mechanical energy that may subsequently be utilized to do mechanical labour. The total rate of heat rejection to the environment is 298.4458 kJ/min.
What is a Heat Engine?A heat engine is a device that turns heat into mechanical energy that may subsequently be utilized to do mechanical labour. It accomplishes this by transferring a functioning ingredient from a higher to a lower state temperature.
For the following condition, the diagram can be made as shown below. Also, the Heat Engine Sink temperature, [tex]T_H[/tex] = 900 K
Heat Engine surrounding temperature, [tex]T_L[/tex] = 300 K
Refrigerator surrounding temperature, [tex]T'_C[/tex] = 215 C + 273 = 488 K
Refrigerator sink temperature, [tex]T'_H[/tex] = 300 K
The heat removed by the refrigerator, [tex]Q'_{in}[/tex] = 250 kJ/min
A.) For a Carnot refrigerator, the COP or the coefficient of performance is given by,
[tex]COP = \dfrac{T'_C}{T'_H-T'C}[/tex]
COP = (488)/(488-300)
COP = 2.596
The COP is also the ratio of the Heat input and the work output.
[tex]COP = \dfrac{Q'_{in}}{W}[/tex]
2.596 = 250/W
W = 96.302 kJ/min
The Carnot engine efficiency is expressed as,
[tex]\eta = 1- \dfrac{T_C}{T_H}[/tex]
η = 1 - (300/900)
η = 0.6667
Also, the Carnot engine efficiency is defined as,
[tex]\eta = \dfrac{W}{Q_{in}}\\\\[/tex]
[tex]0.6667 = \dfrac{96.302}{Q_{in}}\\\\Q_{in} = \rm 144.4458\ kJ/min[/tex]
Hence, the rate of heat supplied to the heat engine is 144.4458 kJ/min.
B.) The total work done by the engine is 96.302 kJ/min, while the heat input is 144.4458 kJ/min. Therefore, the heat output of the system is,
[tex]W = Q_{in} - Q_{out}\\\\Q_{out} = 48.1438\rm\ kJ/min[/tex]
Thus, the total rate of heat rejection to the environment,
[tex]\text{Total Heat rejection} = Q_{out}+Q'_{in}\\[/tex]
= 48.4458 kJ/min + 250 kJ/min
= 298.4458 kJ/min
Hence, the total rate of heat rejection to the environment is 298.4458 kJ/min.
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Find M∠BFE.
A. 116
B. 58
C. 148
D. 164
Answers
Answer:
C
Step-by-step explanation:
57+57+34=148
PLS ANSWER THESE TWO QUESTIONS
EXPLANATION IS NOT NEEDED
MAKE SURE IT IS CORRECT
Answers
The answers to the following word problems are given below:
(C). [tex]1\frac{1}{2}[/tex](C). 0Meaning of word problemA Word problem can be defined as a mathematical problem that is given in a sentence format.
A word problem needs the student to decipher it and then translate it to a normal arithmetic problem.
In conclusion, The answers to the word problems are given
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Median weekly earnings for women with some college for an associate degree. 1980.......$231 2013.............$657 Using today's dollars, the data in the bar graph can be described by the mathematical model W = 13n + 231, Where W represents median weekly earnings n years after 1980. Does the formula underestimate or overestimate the median weekly earnings in 2013? By how much?
Answers
Using the linear function given in this problem, the formula underestimates the median weekly earnings in 2013 by $3, as 657 < 660.
What is the linear function?The function that estimates the median weekly earnings n years after 1980 is:
W = 13n + 231.
2013 is 2013-1980 = 33 years after 2000, hence the estimate is given by W when n = 33, that is:
W = 13 x 33 + 231 = 660.
657 < 660, hence the formula underestimates the median weekly earnings in 2013 by $3.
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5. Gaur Grandeur is a society which has a garden of length 45 5/7 m and breadth 16 3/4m. Find area of garden
Answers
Step-by-step explanation:
Here,
given length= 45 5/7 m( mixed fraction)
= 320/7 m( simple fraction)
similar breadth= 16 3/4 m
= 67/4 m
Now,
Area= length* breadth
= 320/7 * 67/4
=5360/7 m²
Step-by-step explanation:
I guess this means the garden is a rectangle.
the area is
length × breadth (or width or ...)
so,
45 5/7 × 16 3/4 =
= (45×7 + 5)/7 × (16×4 + 3)/4 =
= 320/7 × 67/4 = 320×67 / 7×4 = 80×67 / 7 =
= 5360/7 = 765 5/7 m²
graph y=1x. Sketch the graph below.
1. Select all phrases that fit the graph of y=1x.
curve
straight
y-intercept = 1
positive x-values
quadrant IV
quadrant III
point (1, 1)
x-intercept = 0
quadrant I
y-intercept = 0
no y-intercept
negative y-values
no x-intercept
quadrant II
x-intercept = 1
point (-1, -1)
Answers
The phrases that fit the graph of [tex]y = \sqrt x[/tex] are
curve positive x-valuespoint (1, 1) x-intercept = 0quadrant I y-intercept = 0How to select the phrasesThe equation of the function is given as:
[tex]y = \sqrt x[/tex]
Next, we plot the graph of the function (see attachment)
From the attached graph, we have the following highlights:
All points are in quadrant IThe function is a curveIt has an x-intercept of x = 0It has a y-intercept of y = 0It has only positive x valuesIt passes through (1,1)The above represents the phrases that fit the graph
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Complete questionUsing a graphing application, graph y = √x. Sketch the graph below.
Select all phrases that fit the graph of y = √x
curve straight y-intercept = 1 positive x-values
quadrant IV quadrant III point (1, 1) x-intercept = 0
quadrant I y-intercept = 0 no y-intercept negative y-values
no x-intercept quadrant II x-intercept = 1 point (-1, -1)
Expand. Your answer should be a polynomial in standard form. -p^2(p^2-p-1) =
Answers
Answer:
[tex]\huge\boxed{\sf -p^4+p^3+1}[/tex]
Step-by-step explanation:
Given expression:[tex]=-p^2(p^2-p-1)\\\\Distribute \\\\= -p^4+p^3+1\\\\\rule[225]{225}{2}[/tex]
How would you graph y-intercept is 8 and x-intercept is 9
Answers
Answer:
all shown below
Step-by-step explanation:
y-intercept means a dot's y coordinate is 8 and on the y axis, x-i intercept means a dot's x coordinate is 9 and on the x axis
Answer:
see the attached graph
Step-by-step explanation:
The intercepts are the points where a graph crosses the coordinate axes.
Y-interceptThe y-intercept is the the point where the graph crosses the y-axis. The value of x is zero there. The coordinates of the y-intercept are (0, 8).
X-interceptThe x-intercept is the point where the graph crosses the x-axis. The value of y is zero there. The coordinates of the x-intercept are (9, 0).
You graph these intercepts by plotting the points at these coordinates.
__
In the attached graph, the intercepts are blue dots, and we have drawn a line through them. The line is not part of the graph of the intercepts. It is merely an instance of a function that has these intercepts.
f: {whole numbers} → {whole numbers} Assign each whole number to its largest place value digit. For example, f(4) = 4, f(14) = 4, and f(194) = 9.
f (999)
Answers
Answer:
9
Step-by-step explanation:
Betty wants to put new cabinets in her kitchen. She measures one side of her kitchen and finds it measures 181818 meters.
Which measurement did Betty find?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Area
(Choice B)
B
Perimeter
(Choice C)
C
Length
Answers
Answer:
lenght
Step-by-step explanation:
I think it is that because it says ONE SIDE and for area and perimeter of a square/ rectangle you need more than one side
hope it helps
If we run the following program:
a = 2 + 6
b = 7 % 3
c = a - b
c = c * 5
print(c)
what gets printed?
Answers
If you run the program and print(c), your result will be: c = 35
Meaning of ProgramA program can be defined in terms of arithmetical functions as a set of instructions that are used to arrive at a solution.
A program guides the computer system on what the user wants.
Analysis
a = 2 + 6 = 8
b = 7 % 3 = 1
c = a - b = 7
c = c * 5 = 35
In conclusion, If you run the program and print(c), your result will be: c = 35
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What is the solution
Answers
Answer:
4
Step-by-step explanation:
5x + 2 = 2x + 14
5x-2x=14-2
3x=12
x=12/3
x=4
Answer:
The exact form: x = 4
28 students; 14 students what is the percentage of it?
Answers
Answer:
The percentage of 28 students who are 14 students is 50%.
Step-by-step explanation:
An artist sells her sculptures for $250. Each piece costs her $150 to make, and she spends $11000 per year for her studio and other fixed costs. How many sculptures must she sell if she wants to make $10000 in profit
Answers
l don't know if you know it tell please
A person invested $7700 for 1 year, part at 8%, part at 9%, and the remainder at 12%. The total annual income from these investments was $811. The amount of money invested at 12% was $1100 more than the amounts invested at 8% and 9% combined. Find the amount invested at each rate.
Answers
The amount invested at 8% was $1400, $1900 was invested at 9% and $4400 was invested at 12% making a total annual income of $811.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of money invested at 8%, y represent the amount of money invested at 9% and z represent the amount of money invested at 12%
x + y + z = 7700 (1)
Total interest is:
(x * 1 * 0.08) + (y * 1 * 0.09) + (z * 1 * 0.12) = total interest
0.08x + 0.09y + 0.12z = 811 (
Also:
z = 1100 + x + y (3)
From equation 1, 2 and 3:
x = 1400, y = 1900 and z = 4400
T
The amount invested at 8% was $1400, $1900 was invested at 9% and $4400 was invested at 12% making a total annual income of $811.
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Which represents the inverse of the function f(x) = 4x?
• h(x) = X + 4
• h(x) =x-4
O h(x) = -x
• h(x) = x
Answers
f(x)=4x
y=4x
x=4y
y=x/4 or h(x)=(1/4)x
Jimmy’s original account balance when he opened up his savings account was $3,450.00. In the last two years, he has made no other deposits and it has a current balance of $3,485.95. How much interest did he earn?
Answers
The interest that Jimmy's account has earned is $35.95.
What is the interest that Jimmy's account has earned?Interest is the total increase in excess of the amount deposited in the account. Interest earned can be determined by subtracting the amount deposited from the current balance.
Interest = current balance - amount deposited
$3,485.95 - $3,450.00 = $35.95
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(b) Write the next whole number after A59C thirteen in the base-thirteen system.
Answers
In base 13, we use the digits 0-9 along with A for 10, B for 11, and C for 12.
Then the number that comes after A59C₁₃ is
A59C₁₃ + 1₁₃ = A59(C + 1)₁₃
… = A59(10)₁₃
… = A5(9 + 1)0₁₃
… = A5A0₁₃
where I use parentheses to indicate we're adding C and 1 in the same digits place, then carry the 1 into the next digits place.
Determine whether the triangle is a scalene, isosceles of equilateral
Answers
Answer:
Equilateral triangle: All three sides are equal.
Isosceles triangle: All two sides are equal.
Scalene triangle: No sides are equal.
Step-by-step explanation: Step 1: Label the given points as A, B, and C, and plot them as vertices of a triangle with connecting lines to draw the triangle we are working to identify.
Step 2: Calculate the side length AB using the distance formula.
Step 3: Calculate the side length BC using the distance formula.
Step 4: Calculate the side length AC using the distance formula.
Step 5: Compare the side lengths AB, BC, and AC from the previous steps to define the triangle type.
32 randomly picked people were asked if they rented or owned their own home, 8 said they rented. Obtain a point estimate of the proportion of home owners.
Group of answer choices
0.250
0.600
0.750
0.200
0.500
Answers
Answer:
.750
Step-by-step explanation:
triangle ABC is isosceles, angle B is vertex angle , AB = 20x -2, AC =25x, and BC =12 x +20. Find x and the length of each side of the triangle?
Answers
Length of AB = 18. 92
Length of AC = 26. 15
Length of BC = 32. 552
How to determine the sides of the triangleUsing the Pythagorean theorem, we have that
[tex](20 x-2)^2 = (12x + 20)^2 + (25x)^2[/tex]
Expand the bracket
[tex]400x^2- 4 = 144x^2 + 400 + 625x^2[/tex]
Collect like terms
[tex]400x^2 - 144x^2 - 625x^2 = 400 + 4[/tex]
[tex]-369x^2 = 404[/tex]
Make x^2 subject
[tex]x^2 = \frac{404}{369}[/tex]
[tex]x = \sqrt{1.0948}[/tex]
[tex]x = 1. 046[/tex]
Thus,
Length of AB = 20x -2 = 20(1. 046) - 2 = 18. 92
Length of AC = 25x = 25* 1.046 = 26. 15
Length of BC = 12x + 20 = 12(1. 046) + 20 = 32. 552
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Nine times the sum of a number and 3 is 6 .
Answers
Answer: -2 1/3
Step-by-step explanation:
First, change the word into equation
9*x+3=6
Do division first, so 6/9, simplify into 2/3 then subtract it by 3 which is -2 1/3
MATH QUESTION HELP. Hhhhnh
Answers
Answer:
y
Step-by-step explanation:
that easy just isolate the variables