A fruit company delivers its fruit in 2 types of boxes: large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 79 kilograms. A delivery of 12 large boxes and 2 small boxes has a total weight of 199 kilograms. How much does each type of box weight

Answers

Answer 1

Answer:

15.5 kg and 6.5 kg

Step-by-step explanation:

Large boxes- l, small boxes - s,

Equations based on the given numbers:

3l + 5s = 7912l + 2s = 199

Solve the system by elimination, multiply the first equation by 4 and subtract the second one:

4(3l + 5s) - 12l - 2s = 4*79 - 19912l + 20s - 12l - 2s = 11718s = 117s = 117/18s = 6.5

Find the value of l:

3l + 5(6.5) = 793l = 79 - 32.53l = 46.5l = 46.5/3l = 15.5

Related Questions

If the given figure is rotated 180° around the origin, what are the new coordinates of point Z? Z= (6,-9)

Answers

Answer:

Step-by-step explanation:

Try and draw it on a grid and just rotate your book up to 180

Classify the following triangle as acute, obtuse, or right.

Answers

Answer:

acute

Step-by-step explanation:

beccccccsssdsss

A sculpture is made of soild tin in the shape of a cone, sculpture is 70 inches tall, its base has a radius of 9 inches, the tin cost $1.75 per cubic inch how much did it cost for the tin for the sculpture

Answers

Answer:

$10390.817

Step-by-step explanation:

Given that :

Sculpture is made in Shape of a cone with :

Height, h = 70 inches

Radius, r = 9 inches

Volume of a cone = 1/3πr²h

Volume = 1/3 * π * 9² * 70

Volume of sculpture = 5937.6101 in³

Cost per in³ = $1.75

Cost of tin for the sculpture :

Cost per in³ * volume of sculpture

$1.75 * 5937.6101 = $10390.817

Calculate trend values by method of least squares

Answers

Answer:

It is a mathematical method and with it gives a fitted trend line for the set of data in such a manner that the following tow conditions are satisfied. The sum of the deviation of the actual values of Y and the computed values of Y is zero.

If BE bisects _ABD and mŁABE = 28°, find m_ABD.

Answers

Answer:

m<ABD = 56 degrees

Step-by-step explanation:

If a segment/ray/line bisects an angle, it divides it into 2 equal parts

Since BE bisects ABD, it will divide it into 2 equal parts, one of which is 28 degrees (given)

Now we can find the measure of ABD by doing 28*2=56

What is an equation of the line that passes through the points (4,-2) and (8,-7)?

Answers

Answer:

the slope-intercept form for any line is y = mx + b, where m is the slope and b is the y-intercept.

 

now, let's calculate the slope:

 

=  

 

here is the equation we currently have solved: y = x + b

 

now we have to solve for the y-intercept. to do this, we substitute one of the given points into the equation, and solve for b.

 

let's use (8, 2). in this ordered pair, the 8 is the x, and the 2 is the y.

 

2 = 8 + b

2 - 8 = b

b = -6

 

and now we have our final equation!  

 

y = x - 6

 

hope this helped! please let me know if you are confused about anything i did smiley

Step-by-step explanation:

Answer:

y = -5/4x + 3

Step-by-step explanation:

Find the slope first:

m = (y2 - y1)/ (2 - x1)m = (-7 + 2)/(8 - 4) = -5/4

Use point-slope form and the coordinates of one of the points:

y - y1 = m(x - x1)y - (-2) = -5/4(x - 4)y + 2  = - 5/4x + 5y = -5/4x + 3

Please help.

Evaluate 6!

3,125

720

120

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{6!}\\\large\textsf{= 6}\times\large\textsf{5}\times\large\textsf{4}\times\large\textsf{3}\times\large\textsf{2}\times\large\textsf{1}\\\large\textsf{6(5) = \bf 30}\\\large\textsf{= 30}\times\large\textsf{4}\times\large\textsf{3}\times\large\textsf{2}\times\large\textsf{1}\\\large\textsf{30(4) = \bf 120}\\\large\textsf{= 120}\times\large\textsf{3}\times\large\textsf{2}\times\textsf{1}\\\large\textsf{120(3) = \bf 360}\\\large\textsf{= 360}\times\large\textsf{2}\times\large\textsf{1}[/tex]

[tex]\large\textsf{360(2) = \bf 720}\\\large\textsf{720}\times\large\textsf{1}\\\large\textsf{= \bf 720}[/tex]

[tex]\boxed{\boxed{\huge\textsf{Therefore, your answer is: \bf 720}\huge\textsf{ (option B)}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Write the fraction 24/40 in its simplest form.

Answers

The answer is 3/5 because it’s pretty much like dividing

The population of a city has increased by 33% since it was last measured. If the current population is 39,900, what was the previous population?

=___

Answers

Answer:

26,733

Step-by-step explanation:

39,900 - Percentage decrease =

39,900 - (33% × 39,900) =

39,900 - 33% × 39,900 =

(1 - 33%) × 39,900 =

(100% - 33%) × 39,900 =

67% × 39,900 =

67 ÷ 100 × 39,900 =

67 × 39,900 ÷ 100 =

2,673,300 ÷ 100 =

26,733

Hope this helps :)

Here is the picture of the problem I need help with.

Answers

Answer:

-5

Step-by-step explanation:

We need to find a number less than -3

-1 is greater than -3

0 is greater than -3

2 is greater than -3

-5 is less than -3

Answer:

option A

Step-by-step explanation:

Because its colder than negative 3 degrees F.

i think this the answer …

Answers

Answer:

40/8= 5

Step-by-step explanation:

5/1

Your selected answer is correct.

5/1

Patrick walked 3/5 miles on the first day, 5/7 miles on the second day, third day he walked half of the first day’s distance and the last day he walked the first two days' distance. How much distance Patrick has walked altogether?

Answers

After the total distance on the first, second and third days, Patrick had walked 3.45miles

 Patrick walked altogether 3 miles.

What are fractions?

A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers.

Solution:

First day patrick walked = 3/5 miles

Second day patrick walked = 5/7 miles

Third day he walked = half of first day

                                 = 1/2 ×3/5

                                 = 3/10 miles

fourth day he walked = first two days distances

                                 = 3/5 ₊ 5/7

                                 = 46/35 miles

Total distance he walked = 3/5 ₊ 5/7 ₊ 3/10 ₊ 46/35

                                       = 3 miles

Hence total distance he walked is 3 miles.

Learn more about "fractions" here-

brainly.com/question/78672

#SPJ2


Select the correct location on the number line.
The value of tis between 3.1415 and 3.1416. Using this knowledge, plot Pi squared on the number line.

Answers

Answer:

It would be the second red dot to the right of 9.85.

point (10,-1) will be in quadrant

Answers

Answer:

4

Step-by-step explanation:

The first value (10) is the x value. 10 is positive so the point is on your right. The second value (-1) goes down below the x axis. because it is minus. right and down means you are in the 4th quadrant.

Answer:

IV

Step-by-step explanation:

In the picture below, it shows the model of all quadrants. Since the point (10, -1) has a positive as the x, you can eliminate quadrant II and III. The ones left are I and IV. Since y is a negative, you eliminate I because it is only positives while IV has a negative as it's y.

Hope this helps.

What is the formula for |a+b+c|²?

Answers

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

usually used on right triangles.

Solve the right triangle given that mZA= 30°, mZC = 90°, anda = 15. Round your result to one decimal place.​

Answers

Answer:

[tex]\angle B = 60^o[/tex]

[tex]b =17.3[/tex]

[tex]c = 20[/tex]

Step-by-step explanation:

Given

[tex]a= 15[/tex]

[tex]\angle A = 30^o[/tex]

[tex]\angle C = 90^o[/tex]

See attachment for illustration

Required

Solve the triangle

First, we calculate the measure of B

[tex]\angle A + \angle B + \angle C = 180^o[/tex] --- angles in a triangle

[tex]30^o + \angle B + 90^o = 180^o[/tex]

Collect like terms

[tex]\angle B = 180^o-90^o-30^o[/tex]

[tex]\angle B = 60^o[/tex]

Solve for (c) using sine function

[tex]\sin(30) = \frac{a}{c}[/tex]

Make c the subject

[tex]c = \frac{a}{\sin(30)}[/tex]

Substitute known values

[tex]c = \frac{10}{0.5}[/tex]

[tex]c = 20[/tex]

Solve for (b) using Pythagoras

[tex]c^2 = a^2 + b^2[/tex]

This gives:

[tex]20^2 = 10^2 + b^2[/tex]

[tex]400 = 100 + b^2[/tex]

Collect like terms

[tex]b^2 =400 - 100[/tex]

[tex]b^2 =300[/tex]

Take square roots

[tex]b =17.3[/tex]

What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 5x + 3; f(x) = -3

Answers

Start by writing the system down, I will use [tex]y[/tex] to represent [tex]f(x)[/tex]

[tex]y=x^2-5x+3\wedge y=-3[/tex]

Substitute the fact that [tex]y=-3[/tex] into the first equation to get,

[tex]-3=x^2-5x+3[/tex]

Simplify into a quadratic form ([tex]ax^2+bx+c=0[/tex]),

[tex]x^2-5x+6=0[/tex]

Now you can use Vieta's rule which states that any quadratic equation can be written in the following form,

[tex]x^2+x(m+n)+mn=0[/tex]

which then must factor into

[tex](x+m)(x+n)=0[/tex]

And the solutions will be [tex]m,n[/tex].

Clearly for small coefficients like ours [tex]5,6[/tex], this is very easy to figure out. To get 5 and 6 we simply say that [tex]m=3, n=2[/tex].

This fits the definition as [tex]5=3+2[/tex] and [tex]6=2\cdot3[/tex].

So as mentioned, solutions will equal to [tex]m=3, n=2[/tex] but these are just x-values in the solution pairs of a form [tex](x,y)[/tex].

To get y-values we must substitute 3 for x in the original equation and then also 2 for x in the original equation. Luckily we already know that substituting either of the two numbers yields a zero.

So the solution pairs are [tex](2,0)[/tex] and [tex](3,0)[/tex].

Hope this helps :)

i don’t understand… but thank you if u do answer my question :))

Answers

Answer:

7/0

Step-by-step explanation:

This is because if a number is divided by 0 then there is no answer or it is undefined

Think of it like this,

You have 7 apples and wanted to give it to zero friends, is it possible?

Hope this helped :)

Answer:

Second option (7÷0)

Explanation:

Dividing by zero is considered undefined since you can't divide something by nothing. It's like saying you have a pizza and you want to divide it between 7 people but since you're dividing by zero, you're not splitting the pizza between anyone.

Let Z be the standard normal random variable. Use a probability calculator to answer the following questions: What is the probability Z will be within one standard deviation of average?

Answers

Answer:

0.6826 = 68.26% probability Z will be within one standard deviation of average.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

What is the probability Z will be within one standard deviation of average?

This is the p-value of Z = 1 subtracted by the p-value of Z = -1.

Z = 1 has a p-value of 0.8413.

Z = -1 has a p-value of 0.1587.

0.8413 - 0.1587 = 0.6826

0.6826 = 68.26% probability Z will be within one standard deviation of average.

Which quadratic function has minimum value at x = -b/2a?
O y=-3x2 + 5 X + 6
O y=x2 + 5 x + 6
O y=-x2 + 5x + 6
O y = -4 x2 + 5x + 6

Answers

Answer:

The choose (2)

y=x²+5x+6

Step-by-step explanation:

y=x²+5x+6 —> (–5/2 , –1/4)

y=-3x² + 5 X + 6 —> (5/6, 97/12)

y=-x² + 5x + 6 —> (5/2,49/4)

y = -4 x² + 5x + 6 —> (5/8 , 121/16)

I need help thank you so much !

Answers

Answer:

mana saya tau iwnisbagcayabaonsoanuwvsybwiwnusvwuagwyvwkwnwibsyafa

Random samples of size 100 are taken from an infinite population whose population proportion is 0.2. The mean and standard deviation of the sample proportion are:__________
a) 0.2 and .04
b) 0.2 and 0.2
c) 20 and .04
d) 20 and 0.2

Answers

Answer:

c I think

Step-by-step explanation:

just cuz I did the math but I don't wanna type rn

How many 10-letter words real or imaginary can. Be formed from the following letters R,S,P,Q,H,J,S,M,B,A

Answers

Answer: 3628800

Step-by-step explanation: there are 10 letters so we multiply each with the other 1x2x3x4x5x6x7x8x9x10 or 10! to know all possible combinations so the answer will be 3628800.

Hope it helped!

Answer:

[tex]1,814,400[/tex]

Step-by-step explanation:

The number of ways to arrange a word with [tex]d[/tex] distinct digits is each to [tex]d![/tex]. Since there are 10 letters, there are [tex]10![/tex] permutations initially formed.

However, there is one letter that is repeated, S. We need to account for that fact that switching the placement of the S's does not change the word, as they still appear the same. Therefore, divide [tex]10![/tex] by the number of ways you can arrange the 2 S's, which is simply [tex]2![/tex]. Therefore, our answer is:

[tex]\frac{10!}{2!}=10 \cdot 9\cdot 8\cdot 7\cdot 6\cdot 5\cdot 4\cdot 3=\boxed{1,814,000}[/tex]

Need Help! ASAP!!! I gave a screen shot. Please someone give me the correct answer.

Answers

9514 1404 393

Answer:

  x ∈ {-35, 0, 35}

Step-by-step explanation:

We can solve for x and equate those values to find corresponding y-values. Substituting into the original expressions for x gives the possible x-values.

  [tex]x+xy^2=250y\ \Rightarrow\ x=\dfrac{250y}{1+y^2}\\\\x-xy^2=-240y\ \Rightarrow\ x=\dfrac{-240y}{1-y^2}\\\\\dfrac{250y}{1+y^2}+\dfrac{240y}{1-y^2}=0\\\\\dfrac{25y(1-y^2)+24y(1+y^2)}{(1+y^2)(1-y^2)}=0\\\\y(-y^2+49)=0=y(7-y)(7+y)\ \Rightarrow\ y\in\{-7,0,7\}\\\\x=\dfrac{250(\pm 7)}{1+(\pm7)^2}=\pm35,\quad=\dfrac{250(0)}{1+0^2}=0\\\\\boxed{x\in\{-35,0,35\}}[/tex]

Three student representatives, a president, a secretary, and a treasurer, are to be chosen from a group of five students: Andrew, Brenda, Chad, Dorothy, and Eric. In how many different ways can the representatives be chosen if the president must be a woman and the secretary and treasurer must be men

Answers

Answer:

Hence there are 6 different ways can the representatives be chosen if the president must be a woman and the secretary and treasurer must be men.

Step-by-step explanation:

We know that,

Total males = 3,

Total Females = 2,

Now we want 2 males and a female.

Then the choices are,

           [tex]= ^{3} C_{2} \times ( ^{2} C_{1} )\\\\= 3 \times 2\\\\=6[/tex]

Please help!!!! What's the rule that represents the sequence 13, 27, 41, 55, ...?
Answers Below:

Answers

Answer:

B) 13+14 (n - 1)

Step-by-step explanation:

this is an arithmetic sequence

13 represent the first term

14 is a constant difference

Answer:

The answer is B

Step-by-step explanation:

substitute the value of n in the equation.

Find MP
Find NL
Hehdjsjsjsjzjxjzjzjjznznznz

Answers

Answer:

i dont know

Step-by-step explanation:

hmmm

Which graph matches the equation y + 6 = 2(x + 4)?

Answers

Answer:

The graph should look like the one below/above.

OAmalOHopeO

Bronson is ordering a sundae at a restaurant, and the server tells him that he can have up to four toppings: butterscotch sauce, caramel, peanuts, and strawberries. Since he cannot decide how many of the toppings he wants, he tells the server to surprise him. If the server randomly chooses which toppings to add, what is the probability that Bronson gets just butterscotch sauce, peanuts, and strawberries

Answers

Answer:

20%

Step-by-step explanation:

if zero toppings is an option, then there would be 5 possibilities for toppings

0,1,2,3,or 4

the server randomly chose 3 toppings so that would be one out of 5 or 20%.

(If the server did not have the option to put zero toppings on then there would be only 4 options 1,2,3, or 4 toppings and the correct answer would be one out of 4 or 25%.)

If two angles are complementary, find the measure of each of angle.

Answers

Answer:

here's the answer to your question

Answer:

One angle is 70 degrees and the other one is 20 degrees

Step-by-step explanation:

If two angles are complementary, that means that they both add up to 90 degrees.

You have to use algebra to solve this bc you don't have the actual numbers.

So you can use the equation...

7f + 2f = 90

Solve for f, and then substitute the f back into the equation to find the measure of each angle.

7f + 2f = 90

9f = 90

f = 10

Substituting the 10 back in

7f = 7(10) = 70

2f = 2(10) = 20

Other Questions
3x + ky = 8X 2ky = 5are simultaneous equations where k is a constant.Show that x = 3. How has the US believe human rights affected other countriesA. By causing an end to diplomatic ties with countries that refused to participateB. By raising money to help poor nations grow their countrys C. By making some country decide to no longer want close ties with United States D. By causing the United States to intervene militarily to stop human rights abuse Read this passage from Dragonwings by Laurence Yep.During those trips alone among the demons, Father and I learned things about one another; and more, we learned about being a father and a son. Every trip was an adventure into a strange, fearful city; and yet I felt safe by my father's side. Anyone who could laugh and tell stories and jokes and sing while he was alone among the demons must know what he was doing. In my own mind, Father was the embodiment of Uncle's superior man.Only once during all those trips did we have any trouble. Some demon boys were out in the street. They stooped as if to pick up things to throw, and Father whispered to me to sit up straight and not show I was afraid. The demon boys called out some things, but we ignored them until we had passed them by. A rock whizzed by my ear and hit Red Rabbit in the side. He snorted, but plodded on as steadily as before.How does this passage show the types of problems Chinese immigrants faced in the early 1900s?The boys are throwing rocks at the narrator and his father because they are Chinese.The narrator calls the boys demons instead of calling them Americans.The horse has a traditional Chinese name, Red Rabbit, instead of an American name.The narrator and his father ignore the boys instead of confronting them for their actions. Imagine that you are a weather forecaster with the local news station. You have to give todays report in Spanish. Based on the illustration below, compose five sentences explaining what types of weather will or will not occur today. Remember to use the future tense, where appropriate. 1) What choices could a director make when adapting a written text?Select all that apply.- The material is carefully considered and shortened so it fits an onscreen production. - The visuals that capture emotions, actions, or settings are engaging. - The music enhances the overall tone and mood of a story. - The still images of a written text highlight its theme. Splash Island and Magic Park are amusement parks. If you visit splash Island, you pay $3 per ride plus a $14 entrance fee. If you visit Magic Park, you pay $5 per ride plus a $7 entrance fee. You have $32. At which park could you go on more rides? In the diagram, MZACB = 65. mzECD = E B C D WILL MARK BRAINLIEST! Can someone please help! I don't understand some of these questions :( To use energy efficiently, a certain washing machine should wash at least 2 kilograms of clothes. To avoid overloading the machine, at most 6 kilograms should be washed.What is the range of the loads for this washing machine ? causes of wage rigidity The Bargain of 1877: Group of answer choices allowed Samuel Tilden to become president. called for the passage of the Fifteenth Amendment. marked a compromise between Radical and Liberal Republicans. was made by Grant to prevent his impeachment over the Whiskey Ring. led to the appointment of a southerner as postmaster general. I NEED HELP, ASAP ! | Which line from the text best explains the lesson Jilly has learned over the summer? A. Jilly had been so embarrassed for making it. B. She straightened the rows of geraniums in front of her. C. Her need to be around growing things was huge. D. She loved their lacey fronds. Write the equation of the line in point-slope form given the information:Slope = -1/5Y intercept = -3 Veronica and Chelsea are twins that were separated at birth. Chelsea is raised by a family that does not makemuch money, lives in a house built from the 1960's and does not have easy access to healthcare. Veronica israised by a family that makes a lot of money, lives in a newly built home, has a farm and has access tohealthcare. What conclusions can you make about Chelsea's health as an adult?O Chelsea's social factors increase her risks of a communicable disease.Chelsea's social factors increase her risks of a noncommunicable disease.Chelsea is most likely to have a healthy lifestyle.O Chelsea is most likely to end up homeless. A well-cultivated critical thinker does not Group of answer choices think openmindedly within alternative systems of thought, while recognizing and assessing, as needs be, their assumptions, implications, and practical consequences. tests well-reasoned conclusions and solutions against relevant criteria and standards. communicate effectively with others in figuring out solutions to complex problems. pose all potential outcomes. Which of the following is an example of an anabolic reaction?A citric acid cycleB fatty acid decarboxylationC glycolysisD photosynthesis Which of the following is greater than quinientos treinta y ocho?a.cincuenta y nueveC. quinientos treceb. cuatrocientos treinta y cincod. quinientos ochenta y tresPlease select the best answer from the choices providedABO 0D The amount of water dispensed by a water dispenser is normally distributed,with a mean of 11.60 ounces and a standard deviation of 0.15 ounces. Inwhich range will the amount of water dispensed be found 68% of the time?A. 11.30 ounces to 11.90 ouncesB. 11.15 ounces to 12.05 ouncesC. 11.45 ounces to 11.75 ouncesD. 11.00 ounces to 12.20 ouncesSUBMIT I need help:/ Im in college What makes a strong acid different from a weak acid?