1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kotykmax [81]
3 years ago
9

a supermarket sells 2 kg and 4 kg of sugar a shipment of 1100 bags of sugar has a total mass of 2900 kg. How many 2 kg bags and

4 kg bags are in the shipment​
Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0

There are 750 (2 kg) bags and 350 (4 kg) bags in the shipment​

Step-by-step explanation:

The given is:

  • A supermarket sells 2 kg and 4 kg of sugar a shipment of 1100 bags of sugar
  • The total mass of the sugar is 2900 kg

We need to find how many 2 kg bags and 4 kg bags are in the shipment

Assume that x represents the number of 2 kg bags and y represents the number of 4 kg bags

∵ x is the number of 2 kg bags

∵ y is the number of 4 kg bags

∵ The total number of bags are 1100

- Add x and y, then equate the sum by 1100

∴ x + y = 1100 ⇒ (1)

∵ The total mass of sugar is 2900 kg

- Multiply x by 2 and y by 4 to find the mass of the bags, then

  add the two product and equate them by 2900

∴ 2x + 4y = 2900 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -2 to eliminate x

∴ -2x - 2y = -2200 ⇒ (3)

- Add equations (2) and (3)

∴ 2y = 700

- Divide both sides by 2

∴ y = 350

- Substitute the value of y in equation (1) to find x

∵ x + 350 = 1100

- Subtract 350 from both sides

∴ x = 750

There are 750 (2 kg) bags and 350 (4 kg) bags in the shipment​

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

You might be interested in
Which ordered pair would form a proportional relationship with the points in the graph? (4, 4) (6, 9) (9, 6) (8, 5)
Citrus2011 [14]

Answer:the answer is 9,6

Step-by-step explanation:

I JUST TOOK THE QUIZ

8 0
3 years ago
Read 2 more answers
35 POINTS FOR ONE QUESTION!!!!
maks197457 [2]

Answer:

<u>5,400 yd²</u>

Step-by-step explanation:

New total area :

  • Original area x scale factor
  • 600 yd² x 9
  • <u>5,400 yd²</u>
7 0
2 years ago
Read 2 more answers
PLZ HELP, AND PLZ EXPLAIN
shutvik [7]

Answer:

C

Step-by-step explanation:

To make it easy let's start by organizing our information :

  • AC=12 AND BD=8
  • ABCD is a rhombus
  • K and L are the midpoints of sides AD and CD
  • we notice that the rhombus ABCD is divided into four right triangles

What do you think of when you hear a right triangle ?

  • The pythagorian theorem !

AC and BD  are khown so let's focus on them .

If we concentrated we can notice that AB and BD are cossing each other in the midpoints . why ?

Simply because they are the diagonals of a rhombus .

ow let's apply the pythagorian theorem :

  • (AC/2)² + (BD/2)² = BC²
  • 6²+4²=52
  • BC²= 52⇒\sqrt{52}=BC

Now we khow that : AB=BC=CD=AD=\sqrt{52}

This isn't enough . Let's try to figure out a way to calculate the length of KL  wich is the base of the triangle

  • KL is parallel to AC
  • k is the midpoint of AD and L of DC

I smell something . yes! Thales theorem

  • KL/AC=DL/DC=DK/AD WE4LL TAKE OLY ONE
  • KL/12=\sqrt{52}/2*\sqrt{52}  
  • KL/12=1/2⇒ KL=6

Now we have the length of the base kl

Now the big boss the height :

  • notice that you khow the length of KL
  • BD crosses kl from its midpoint and DL = \sqrt{52} /2

What I want to do is to apply the pythgorian thaorem to khow the lenght of that small part that is not a part of the height of the triangle . I will call it D

  • DL²=(KL/2)²+D²
  • 52/4= 9+ D²
  • D² = 52/4-9 +4 SO D=2

now the height of the trigle is H= BD-D= 8-2=6

NOw the area of the triangle is :

  • A=(KL*H)/2 ⇒ A= (6*6)/2=18

THE ANSWER IS 18 SQ.UN

5 0
3 years ago
A store advertises 15% off an item that regularly sells $300. How is a 15% discount similar to a 15% decrease? Explain.
Kobotan [32]
Both a discount and decrease will make the cost the same which is $225 for the object. I think that's what your asking. I'm sorry if it is not that helpful.
5 0
3 years ago
Read 2 more answers
Write an expression for 7 times t
Marysya12 [62]

Answer:

7t

Step-by-step explanation:

7 \:  times \:  t = 7t

8 0
2 years ago
Other questions:
  • Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).
    10·1 answer
  • I have 18 ones,15 hundreds,15 tens,and 8 thousands.what number am i?
    5·1 answer
  • Algebra question please help me
    10·1 answer
  • Determine the slope of the line that has the following coordinates: (1, 4)(2, -6)
    11·1 answer
  • The second quartile of a data set is 4.2. What does this mean?
    8·1 answer
  • In ΔTUV, the measure of ∠V=90°, the measure of ∠T=16°, and VT = 4.9 feet. Find the length of TU to the nearest tenth of a foot.
    6·1 answer
  • What is expanded form?
    6·2 answers
  • Farmer Dave builds a create to hold vegetables. The volume of the create is 48 cubic feet. The base area of the create is 16 squ
    14·1 answer
  • 10. If f(x) = X/4 - 1 Find inverse function<br> Your answer
    12·1 answer
  • What is 1102 using the polynomial identity (a+b)2=a2+2ab+b2 ?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!