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
Oliga [24]
3 years ago
9

can someone please help me figure this out? this is a summative and I'm failing for the year. it's algebra 1. ​

Mathematics
1 answer:
34kurt3 years ago
7 0

Part (a)

  • x = number of bass caught
  • y = number of trout caught

x and y are nonnegative whole numbers.

3x represents the total weight of all the bass, since one bass weighs 3 pounds. Similarly, 2y is the total weight of the trout with each one being 2 pounds.  Adding up all the weight of all the fish, we get 3x+2y. This is set equal to 34 pounds which is the total stated weight caught.

In short, we end up with the equation 3x+2y = 34

Now onto the second equation. The expression 5x represents how many points Pat gets from catching x bass, because he gets 5 points per bass. Then we subtract off 2y to represent Pat losing 2 points per trout he catches. Overall, his point total is 5x-2y. This is set equal to his point total of 14.

The second equation is 5x-2y = 14

------------

Answer:

3x+2y = 34

5x-2y = 14

Both equations are needed to form this particular system.

===================================================

Part (b)

We could use a number of methods to solve for (x,y). Possibly the most efficient is elimination. Why? Because note how we have 2y up top and -2y down below. They add to 0y which is just 0. The y terms go away, and are eliminated. Afterward, all we're left with is x in which we can solve for just like any other single variable equation. More info is in part (c).

===================================================

Part (c)

Refer to the answer in part (a). We'll add straight down. So that means we have these three sets of addition operations.

  • 3x+5x becomes 8x
  • 2y + (-2y), aka 2y-2y, becomes 0y and the y terms go away
  • 34+14 simplifies to 48

After those three sets of addition operations, we're left with the much simpler equation 8x = 48. To solve this, we divide both sides by 8 and we get x = 6. This says Pat caught 6 bass.

Use this value of x to find y. So we'll plug x = 6 into either equation involving x,y and solve for y

3x+2y = 34

3(6)+2y = 34

18+2y = 34

2y = 34-18

2y = 16

y = 16/2

y = 8

So we can see that Pat caught 8 trout as well.

The check portion is shown in the attached image below. Effectively, all we're doing is replacing x and y with 6 and 8 respectively. Then we're simplifying both sides. Getting the same number on both sides results in a true equation, and therefore verifies we have the correct (x,y) solution.

Solution: (x,y) = (6,8)

Interpretation: Pat caught 6 bass and 8 trout

You might be interested in
Suppose you were adding 527+405. What would the tens problem be
nydimaria [60]

it would be 3 because when you add it, it gets to be 932 and the tens place is 3.


8 0
3 years ago
Please show work for both problems
sukhopar [10]

(1) The value of x is 25

(2) The measure of ∠CBD is 60°

Explanation:

(1) The given two angles are vertical angles. Since, vertical angles are equal, we can add the two angles to determine the value of x.

Thus, we have,

5x+15=6x-10

Subtracting 5x from both sides, we have

15=x-10

Adding 10 to both sides , we have,

25=x

Thus, the value of x is 25.

(2) It is given that the measure of ∠ABC = (x+7)° and ∠CBD = (2x+14)°

Since, these two angles are supplementary angles and supplementary angles add upto 90°

Thus, we have,

2x+14+x+7=90

Simplifying, we get,

3x+21=90

       3x=69

         x=23

Thus, substituting the value of x in ∠CBD = (2x+14)° to determine its value.

2x+14=2(23)+14=46+14=60

Thus, the measure of ∠CBD is 60°

5 0
3 years ago
Probability that carbon emissions beyond permissible level and test predicts it
sergey [27]
Probability that carbon essissions beyond permissible level and test predicts did it
5 0
2 years ago
Why is it I paid for this app but i am not beneiting from it? will have to get rid! useless​
Leona [35]
You paid ..I’m broke so I can’t lol ..in my opinion it can be helpful sometimes because some of the questions don’t get answered or it’s someone just saying “I don’t know
7 0
2 years ago
HELP! Consider the function represented by the graph. On a coordinate plane, a straight line with a negative slope begins on the
ch4aika [34]

Answer:

{ x | x ≥ 0 }

Step-by-step explanation:

Given,

There is a straight line started from (0, 9) and passes through (8, 1),

∵ In the coordinate plan, the values of x are arranged in increasing order to the right side of the y-axis,

Thus, the line is defined for all real values of x greater than 0,

Hence, Domain of the line = All real numbers greater than equal to 0,

i.e. { x | x ≥ 0 }

Thus, FIRST OPTION is correct.

7 0
3 years ago
Read 2 more answers
Other questions:
  • How are rate of change and slope related for a linear relationship
    13·2 answers
  • Convert 0.001 to a power of ten
    5·1 answer
  • -3.6, -5.4, -8.1, -12.15 geometric, arithmetic, or neither
    14·1 answer
  • 10<br> Complete the conversion. $2 per pound = $_ per ounce (round to the nearest hundredth)
    8·1 answer
  • The scale factor of the scale drawing of a mirror to the actual mirror is represented by the ratio 1:8. If the dimensions of the
    11·2 answers
  • Function notation ? G (x)=x-3 ; find g(-6) .. how do I answer this?
    12·1 answer
  • “Calculate the lengths of the 2 unlabeled sides” help me pleasee
    8·1 answer
  • X/3 = -2 i dont know how to do this
    14·1 answer
  • What is the average rate of change between: x = 1 and x = 2? x = 2 and x = 3? x = 3 and x = 4? x y 1 2 3 4 5 4 8 12
    9·1 answer
  • What is porpotinal to 1/5
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!