Edwin works at a fast-food restaurant. Every Tuesday, he helps unload a delivery truck. This
table shows how many boxes of hamburger buns and how many boxes of potatoes he
unloaded last Tuesday,
What is the weight of each box?
Answers
Answer:
Each box of buns weighs 18 pounds and each box of potatoes weighs 35 pounds
Step-by-step explanation:
Let's say each bun box weighs b pounds and each potato box weighs p pounds. For each box of buns, we add b pounds. Therefore, for 40 boxes of buns, we add 40 * b pounds. Similarly, for 35 boxes of potatoes, we add 35 * p pounds.
For Tuesday, the total weight of the buns boxes is equal to 40 * b. The total weight of the potato boxes is equal to 35 * p. Adding these two together, we get the total weight of the boxes to be equal to
40 * b + 35 * p = 1945
For Friday, we can apply similar techniques to get
60 * b + 70 * p = 3530
We therefore have the two equations
40 * b + 35 * p = 1945
60 * b + 70 * p = 3530
One way to solve this would be to convert this into a matrix and use Guass-Jordan Elimination. With the amount of bun boxes representing the first column, the amount of potato boxes representing the second, and the total weight of each day representing the third, we have
[tex]\left[\begin{array}{ccc}40&35&1945\\60&70&3530\end{array}\right][/tex]
One thing that we can do here is multiply the first row by -2 and add it to the second. That way, there would be a 0 in the 2nd column in the 2nd row, making an equation of the form
something * b = something else, enabling us to solve for b.
We thus have
[tex]\left[\begin{array}{ccc}40&35&1945\\(-40*2+60)&(-35*2+70)&(-1945*2 +3530)\end{array}\right] = \left[\begin{array}{ccc}40&35&1945\\-20&0&-360\end{array}\right][/tex]
Therefore, we can say that
-20 * b = -360
divide both sides by 20 to isolate b
b = 18
Therefore, each box of bunds weighs 18 pounds. Plugging that into an equation, we have
40 * b + 35 * p = 1945
40 * 18 + 35 * p = 1945
720 + 35 * p = 1945
subtract 720 from both sides to isolate the p and its coefficient
1225 = 35 * p
divide both sides by 35 to isolate p
p = 35
Therefore, each box of potatoes weighs 35 pounds
Related Questions
Will Mark Brainlest Help please!!!
Answers
Answer:
hi how are u I am fine by the way I hope that I dont know the answers
Does the graph represent a function? Why or why not?
Answers
Answer:
D. Yes, because it passes the vertical line test.
Step-by-step explanation:
In order to be a function, it needs to pass the vertical line test as a function can not have multiple y's for one x. However, functions can have multiple x's for one y such as in a quadratic function.
Answer:
D.
Brainliest, please!
Step-by-step explanation:
This function passes both the horizontal and vertical line tests. But when determining if it is a function or not, the vertical line test is the only one that matters. If we wanted to know if this function had an inverse or not, then B. would be right.
Can an infinite arithmetic series ever converge?
Answers
Which number is a solution of the inequality?
3x - 15 ≥ 3
a.) -9/11
b.)6/11
c.)6
d.)5
Answers
Answer:
6
Step-by-step explanation:
[tex]3x - 15 \geqslant 3[/tex]
[tex]3x \geqslant 3 + 15[/tex]
[tex]x \geqslant \frac{18}{3} [/tex]
[tex]x \geqslant 6[/tex]
You have a choice to invest in one of three different college funds to save up for college. You need to save at least $14,000 for your first year. In which of the three accounts do you choose to invest your money given that you have $10,000 to invest and you would like to accrue as much interest as possible?
Answers
Answer: C) You choose account #2
===================================================
Explanation:
Let's compute the final balance for account 1.
We'll use the compound interest formula
A = P*(1+r/n)^(n*t)
where,
P = principal or amount depositedr = decimal form of the annual interest raten = number of times we compound the interest per yeart = number of yearswhere in this case
P = 10,000r = 0.035 n = 4 t = 10So with all that in mind, we get
A = P*(1+r/n)^(n*t)
A = 10,000*(1+0.035/4)^(4*10)
A = 14,169.0883793113
A = 14,169.09
Account #1 gets us $14,169.09 which is over our goal of $14,000
--------------------------
Let's repeat this idea for account 3. I'll get back to account 2 in the next section.
For account 3, we have these inputs
P = 10,000r = 0.032n = 1t = 10leading to...
A = P*(1+r/n)^(n*t)
A = 10,000*(1+0.032/1)^(1*10)
A = 13,702.4104633564
A = 13,702.41
This isn't larger than 14,000. So we cannot use account 3. The interest rate is too small and needs to be bumped up.
--------------------------
Now let's compute account 2. We'll use the continuously compounded interest formula which is
A = P*e^(rt)
The P, r and t are the same as before. The 'e' is a constant and it's roughly e = 2.718... similar to how pi = 3.14... approximately.
I recommend using the calculator's stored value of 'e' to get as much accuracy as possible.
So,
A = P*e^(rt)
A = 10,000*e^(0.036*10)
A = 14,333.2941456052
A = 14,333.29
This exceeds 14,000 so we can use this account.
Comparing this to account 1's value (14,169.09), we can see that account 2 gets us the most money over the 10 year time period. Not only does account 2 have the higher interest rate, but it also has an infinitely higher compounding frequency as well. These two factors help contribute as to why account 2 beats out account 1.
This is why we should go for account 2.
Complete the table, and then use the drawing tools to create the graph representing the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x.
Answers
The complete table of the function is:
[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]
The equation missing from the question is:
[tex]y = 72 - 12x[/tex]
To complete the table, we simply calculate the y value for each x value;
When [tex]x = 0[/tex], [tex]y = 72 - 12 * 0 = 72[/tex]
When [tex]x = 1[/tex], [tex]y = 72 - 12 * 1 = 60[/tex]
When [tex]x = 2[/tex], [tex]y = 72 - 12 * 2 = 48[/tex]
When [tex]x = 3[/tex], [tex]y = 72 - 12 * 3 = 36[/tex]
When [tex]x = 4[/tex], [tex]y = 72 - 12 * 4 = 24[/tex]
When [tex]x = 5[/tex], [tex]y = 72 - 12 * 5 = 12[/tex]
When [tex]x = 6[/tex], [tex]y = 72 - 12 * 6 = 0[/tex]
So, the complete table is:
[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]
To create a graph of f(x), we simply type [tex]y = 72 - 12x[/tex] on a drawing tool and the graph will be generated.
See attachment for graph
Learn more about graphs at:
https://brainly.com/question/20106471
Answer:
Step-by-step explanation:
PLEASE HELP ASAP!!!!! The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?
Answers
Answer:
2/3
Step-by-step explanation:
The graph point is on (3,2)
Write the equation of the line that passes through the points (−7,5) and (-7,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answers
Answer:
x = -7
Step-by-step explanation:
First we find the slope using
m = ( y2-y1)/(x2-x1)
= ( -8 - 5)/( -7 - -7)
= (-8-5)/(-7+7)
= -13/0
This means the slope is undefined and the line is vertical
Vertical lines are in the form
x= constant and the constant is the x value of the points
x = -7
In an atom, electrons have a negative charge and protons have a positive charge. One negative and
one positive cancel each other, just like zero pairs. An atom has 354 electrons and 139 protons.
What is the amount and type of charge?
Answers
Answer:
The charge is negative and the amount is 215
Step-by-step explanation:
Electrons are negative
-354
Protons are positive
+139
-354+139
-215
So
Electrons=-354Protons=+139Net charge
354-139-215Negative charge and the amount is 215
If P =
1 2
then, prove that P2 - 2P - 5 = 0, 1 = 0, where I and 0 are unit
3 1
matrix and null matrix of order 2 x 2 respectively.
Answers
Answer:
thanks for free ponits you dint gave it free but I theft I'm sorry
Find an equation of the line through the given points right the answer and slope intercept form
Answers
Answer:
equation is y = 2-x
Step-by-step explanation:
x1 = -3
y1 = 5
x2 = 4
y2 = -2
now
m(slope) = rise/run =(y2-y1)/(x2-x1) =(-2-5)/(4+3) = -7/7 = -1
so m = -1
now
y =mx + b
-2 = -1×4 + b
or, -2 = -4 +b
so, b = 2
now
y = mx+b
y = -1x + 2
or, y = 2-x
-7m-3(-5m-4)=-61
My answer is always decimals??? Its weird…please help
Answers
Answer:
M=-73/8
Step-by-step explanation:
Find the missing length indicated.
Answers
Answer:
Does the answer help you?
PLS HELP- please look at the picture below
Answers
9514 1404 393
Answer:
1/3
Step-by-step explanation:
To find f(2), we need √(x+1) = 2. That means x+1 = 2^2, so x = 4-1 = 3.
Then f(2) = 1/x = 1/3.
The volume of this cube is 64 cubic feet. What is the value of a?
Answers
Answer:
a = 4 feet
Step-by-step explanation:
Since it's a cube, we know that each value will be equal. Because of this, you can cube root the cube's volume to find a.
[tex]\sqrt[3]{64}=4[/tex]
Therefore, a = 4 feet.
Answer:
4
Step-by-step explanation:
To find the area of a cube, we have to multiply the width, height, and length, which, since they are all the same value, would be a side multiplied by itself 3 times(cubed). So, the area of this cube in terms of a(side) is a*a*a or a^3. The area is given to be 64, so we can write:
a^3 = 64
With the equation, we can realize 4*4*4 is 64, meaning a is 4.
what percent of 65 gives you 33
Answers
Answer:
50.8%
Step-by-step explanation:
Convert fraction (ratio) 33 / 65 Answer: 50.769230769231%
evaluate expressions 1. find the value of f(x) = 3x -2 when x is given value a.). f(3) b.) f(-5) c.) f(0)
Answers
Answer:
a). 7
b). -17
c). -2
Step-by-step explanation:
You have to substitute the given x value into the equation.
a). f(3)= 3(3)-2
=9-2
=7
Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
Step-by-step explanation:
Adjacent to the undetermined angle is 6, and the hypotenuse has been given. We can conclude, after looking at our SOHCAHTOA, that we will be using cosine(CAH) to solve this problem.
Let the unspecified angle be [tex]\theta\\[/tex] (This sign is called theta, which is just a sign for angle)
Lets start!
cos[tex]\theta\\[/tex] = adj/hyp
cos[tex]\theta\\[/tex] = 6/13
[tex]\theta\\[/tex] = [tex]cos^{-1}[/tex](6/13)
[tex]\theta\\[/tex] = 62.5
[tex]\theta\\[/tex] = 63
Hope that helped!
Determine the value of y, if x is -5.
y = |x| – 6
Answers
Answer:
The value of y = -1 , if x is -5.
Step-by-step explanation:
y = |x| – 6
y = |-5| – 6
|-x| = x ---> this is the rule of absolute value, so let's apply this to our equation.
y = 5 – 6 --------------> -5 becomes 5
y = -1
which is the equation of the line with slope 0 passing through the point (-1,-2)?
Answers
The answer is A.
Because it goes 2 down
What is the factored form of 6x^2-13x-5
Answers
Answer:
(2x - 5)(3x + 1)
Step-by-step explanation:
Brainliest, please! (Almost an Ace)
1. Find the factors of 6x^2. (Either 2x and 3x, or 6x and 1x.)
2. Find the factors of -5. (Either -1 and 5, or 1 and 5.)
3. Set up 4 different pre-FOIL factored expressions.
4. Check and see which one works. It's (2x - 5)(3x + 1)
need answer please
giving out brainiest for ALL MY QUESTIONS!!
correct answers only
Answers
Answer:
True
Step-by-step explanation:
integers like 5 or 4 can be put over one to be a fraction.
For example: 5/1 or 4/1
Answer:true
Step-by-step explanation:
they can
eg 1/1, 7/1
Kristina wants to buy a flute that costs 240 . She has saved 20 each week for 3 weeks . How many more weeks does Kristina need to save money if she continues to save 20 each week
Answers
9 more weeks
Explanation:
She already saved 20(3)=60
240=60+20(x)
X=9
She needs 9 more weeks
TRIG EXPERTS!! PLZZZ HELP! I'LL GIVE BRAINLY TO HELPFUL ANSWER AND REPORT SCAMS!
Answers
Answer:
[tex]28.07^{\circ}[/tex]
Step-by-step explanation:
We can use basic trig. for a right triangle to solve this problem. In any right triangle, the tangent of an angle is equal to its opposite side divided by the hypotenuse (longest side) of the triangle.
The right triangle we're looking at involves the two dotted lines and an edge of the prism.
The bottom dotted line is a diagonal of the rectangular base of the prism. We can use the Pythagorean Theorem to find its length.
The Pythagorean Theorem states that for any right triangle, [tex]a^2+b^2=c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle and [tex]c[/tex] is the hypotenuse.
In this case, the two legs are 9 and 12 and we are solving for [tex]c[/tex]:
[tex]9^2+12^2=c^2,\\81+144=c^2,\\225=c^2,\\c=15[/tex]
This is theta's adjacent side. Its opposite side is an edge of the prism labelled as 8 inches. Therefore, we have the following equation:
[tex]\tan \theta = \frac{8}{15}[/tex]
Take the inverse tangent of both sides:
[tex]\arctan(\tan \theta)=\arctan(\frac{8}{15})[/tex]
Simplify using [tex]\arctan(\tan\theta)=\theta, \theta \in (-90^{\circ}, 90^{\circ})[/tex]:
[tex]\theta=\arctan(\frac{8}{15}),\\\theta=28.07248694\approx \boxed{28.07^{\circ}}[/tex]
cho tam giác ABC có A(3;4), B(2;1), C(-1;-2). tìm điểm M nằm trên đường thẳng BC sao cho S ABC=3S ABM
Answers
Answer:
Step-by-step explanation:
A square has a perimeter of 4 cm. What is the length of each side?
Answers
Answer:
1 cm
Step-by-step explanation:
Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.
The area of that square is 1 cm x 1 cm, which is 1 cm2.
Step-by-step explanation:
since the all side is same,the side length is just 1 cm. And the area is just the side length square =1cmsquare× 1 cm
= ans is 1cm^2
A to B is 420 mile away, A travels 40 mph and B travels 80 mph. they toward to each other. how many hour will they meet ?
Answers
Answer:
Step-by-step explanation:
I hope these are people in vehicles travelling toward each other.
80 mh * t + 40 mph * t = 420 miles
The two vehicles are going to travel a total of 420 miles. B will cover a lot more ground than A, but together they will make 420 miles
80t + 40t = 420
120t = 420
t = 420/120
t = 3.5
So after driving 3.5 hours, the two cars will meet.
3.3 Is it possible that a vehicle could travel so fast that the trip could be done in no time at all? Give a reason for your answer.
Answers
Answer:
No.
Step-by-step explanation:
No matter how fast something is going it still takes a moment in time, even if it's only 1/10000 of a second.
please help me i will give brainliest!
Answers
Answer:
135
Step-by-step explanation:
Multiply 2 1/4 by 3/4 by 1 1/4 to get 2 7/64.
Then, multiply 1/4 by 1/4 by 1/4 to get 1/64.
Then divide 2 7/64 by 1/64 to get 135.
Hope this helps!
If there is something wrong, just let me know.
Which of the following equations is an example of inverse variation between
the variables x and y?
Answers
Answer:
B
Step-by-step explanation:
Any inversely proportional equation is of the form y=k/x.
Answer:
Step-by-step explanation:
B
