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Volgvan
2 years ago
5

Hi I'm looking to solve this question for my work but I'm super stuck and I need help asap. Thsnks

Mathematics
1 answer:
MrMuchimi2 years ago
8 0
10w + 9 Are you combing like terms?
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candy that costs 31 cents per pound is mixed with candy that costs 46 cents per pound to obtain 50 pounds of candy that costs 40
photoshop1234 [79]

The amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.

<h3>How to form mathematical expression from the given description?</h3>

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we can assume the separate weights of each type of candies to be represented by variables.

Let we have:

  • x = weight (in pounds) of first type of candy whose cost is 31 cents per pound.
  • y = weight (in pounds)  of second type of candy whose cost is 46 cents per pound.

x pounds of first type of candy is mixed with y pounds of second candy.

The weight of the mixture = x + y = 50 pounds

The cost of the mixture = 40 cents per pound  = 40 \times 50 = 2000 cents

Cost of the mixture = cost of x pounds of first candy+ cost of y pounds of second candy = 31x + 46y
Thus, we get 31x + 46y =2000

Therefore, we got a system of two linear equations as:

x +y = 50\\31x + 46y =2000

From first equation, we get:

x = 50 -y

Substituting this value in second equation, we get:

31(50-y) + 46y =2000\\1550 + 15y = 2000\\15y = 450\\\\y = 450/15 = 30

Putting this value of y in equation for x, we get:

x = 50-y = 50-30 = 20

Thus, the amount of each type of candy (in pounds) that are mixed for the considered condition is: 20 pounds of first type of candy and 30 pounds of second type of candy.

Learn more about solving system of linear equations here:

brainly.com/question/13722693

4 0
2 years ago
Read 2 more answers
If the measure of ab is 134 what is the measure of abc , the tangent-chord angle
ElenaW [278]

The answer is 67 for apex!

3 0
3 years ago
Read 2 more answers
Deon's gas tank is  1/5  full. After he buys  13  gallons of gas, it is  7/10  full. How many gallons can Deon's tank hold?​
Doss [256]

Answer/Step-by-step explanation:

We start with the variable "x". Let's call "x" Dan's full tank.

So we know that right now he has 1/5x or 1/5 of a full tank.

After adding 13 gallons, at the end, he has 7/10x, or 7/10 of a full tank

So we start with

(1/5)x + 13 = 7/10x

Let's subtract 1/5x from both sides

13 = 7/10x - 1/5x

Remember, we need to use common denominators to subtract, so 1/3 becomes 2/10

13 = 7/10-2/10x

Now we simplify to get

13 = 5/10x

Multiply the reciprocal of 5/10 to both sides which is 10/5

13 * 10/5= x

Answer is 26 gallons.

Therefore, Deon's tank can hold 26 gallons.

4 0
2 years ago
Read 2 more answers
Which angle is complementary to &lt;3? help asap​
fgiga [73]

Answer:

In a right angled triangle

Step-by-step explanation:

The two non-right angles are complementary, because in a triangle the three angles add to 180°, and 90° has already been taken by the right angle. When two angles add to 90°, we say they "Complement" each other. because the right angle is thought of as being a complete angle.

Sorry if this is wrong this is all I could do

5 0
3 years ago
2y-11=25 solve the equation
zimovet [89]

Answer:

18

Step-by-step explanation:

25 + 11 = 36

36/2 = 18

hope this helps

3 0
3 years ago
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