Pat was in a fishing competition at
Lake Pisces. He caught some bass
and some trout. Each bass
weighed 3 pounds, and each trout
weighed 1 pound. Pat caught a
total of 30 pounds of fish.
He got 5 points in the
Solve this system to find out how many bass and trout pat caught
competition for each bass, but
since trout are endangered in
Lake Pisces, he lost 1 point for
each trout. Pat scored a total of
42 points.
Question 1
Answers
The number of bass are 9 and the number of trout are 3.
Given that, Pat was in a fishing competition at Lake Pisces. He caught some bass and some trout.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let x be the number of bass and y be the number of trout.
Each bass weighed 3 pounds, and each trout weighed 1 pound. Pat caught a total of 30 pounds of fish.
So, 3x+y=30 --------(I)
Since trout are endangered in Lake Pisces, he lost 1 point for each trout. Pat scored a total of 42 points.
5x-y=42 --------(II)
Use elimination method
Add equation (I) and (II), we get
3x+y+5x-y=30+42
⇒ 8x=72
⇒ x=9
Put x=9 in equation (I), we get
3(9)+y=30
⇒ y=3
Hence, the number of bass are 9 and the number of trout are 3.
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Related Questions
A group of friends were working on a student film that had a budget of $1300. They used $546 of their budget on props. What percentage of their total budget did they spend on props?
Answers
Answer:
42
Step-by-step explanation:
trust me i had the same answer and it was right
Use the algebraic expression below to identify the following parts of the
expression. VARIABLES *
- 3x – 2x + 16 + 5 – 8 + x
Answers
Answer:
−4x+13
Step-by-step explanation:
collect like terms: (−3x−2x+x)+(16+5−8)
Answer:
-3x-2x-x+16+5-8=-4x13
20= −2(n+6) please help
Answers
-2n-12=20
Add 12 to both sides
-2n=32
n=-16
what is the answer for
k + 0 = k
Answers
Answer: k=1 which equals 1k.
Step-by-step explanation:
k+0=k
k is really 1k
so the real equation is 1k+0=1k because 1k+0 means nothing really it's still 1k.
Solve for p. PLEASE HELP ME
21 + p = 44
Question 1 options:
p = 23
p = 21
p = 44
p = 65
Question 2 (1 point)
Saved
Solve for a.
a + (−5) = 12
Question 2 options:
a = 17
a = 7
a = -12
a = -17
Question 3 (1 point)
Solve for m.
m2= 13
Question 3 options:
m = 6.5
m = 15
m = 11
m = 26
Question 4 (1 point)
Solve for g.
34g = 12
Question 4 options:
g = 3
g = 16
g = 4
g = 9
Question 5 (1 point)
Solve for x.
4x = 20
Question 5 options:
x = 100
x = 16
x = 5
x = 24
Question 6 (1 point)
Solve for z.
2z + 5 = 21
Question 6 options:
z = 8
z = 13
z = 9
z = 3
Question 7 (1 point)
Solve for f.
f4 − 3 = 5
Question 7 options:
f = 2
f = 19
f = 32
f = 64
Answers
Step-by-step explanation:
Question 1 p=23
Question 2 a=17
Question 3 m=6.5
Question 5 x=4
Question 6 z=8
Question 7 f=2
Answer:
Question 1 : 21 + 23 = 44
Question 2: 17 - 5 = 12
Question 3: 26÷2 = 13
Question 5: 4x5=20
Sorry about the others
Maria used one bag of flour to bake some bread and muffins. First, she baked two loaves of bread. Then she used the remaining flour to make muffins. If the bag contained 15 cups of flour, how many muffins did Maria make?
recipe - amount of flour needed
bread - 1 1/2 cups per loaf
muffin - 1/3 cup per muffin
rolls - 1/4 cup per roll
a
12 muffins
b
4 muffins
c
36 muffins
d
45 muffins
Answers
Answer:
c
Step-by-step explanation:
1 1/2 cups x 2 bread = 12
12 cups x 3 for 1/3 per recipe =36
Answer:
C.
Step-by-step explanation:
2 loaves of bread: 1 1/2 (flour per one loaf) * 2 (amt of loaves) = 3 (total flour used)
15 (total amt of flour) - 3 (flour used to bake bread) = 12 (remaining flour)
12 (remaining flour) / 1/3 (flour per muffin) = 36 (muffins able to be made)
please condense and/or solve and show work. log base 4 of 8+log base 4 of 2x=3
Answers
Log₄ (8×2x) = 3
Log₄(16x) = 3
4³ = 16x
64 = 16x
x = 4
60 is 0.4% of what number? Use pencil and paper. Would you expect the answer to be a lot less than 60 , slightly less than 60 , slightly greater than 60 , or a lot greater than 60 ? Explain.
Answers
Answer:
15000
Step-by-step explanation:
0.4%=0.004
0.004x=60
x=60/0.004
x=15000
The number 60 is 0.4 percentage of the number 15,000
Given data ,
To find the number that 60 is 0.4% of, we can set up the equation:
60 = 0.4 percentage of x
To solve for x, we need to convert 0.4% to its decimal form, which is 0.004:
0.004 * x = 60
Now we can solve for x by dividing both sides of the equation by 0.004:
x = 60 / 0.004
Dividing 60 by 0.004 gives us:
On simplifying the equation , we get
x = 15,000
Therefore, 60 is 0.4% of 15,000.
Since 0.4% is a very small percentage (less than 1%), we would expect the answer to be a lot greater than 60. This is because when a small percentage is applied to a number, the result will be significantly larger than the original number. In this case, the number that 60 is 0.4% of is 15,000, which is a lot greater than 60.
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Do these ratios form a proportion? 34¢ for every 44 units 17¢ for every 22 units
Answers
PLS HURRY WILL GIVE BRANLIEST AS USUAL
A row of desks in a classroom has 6 seats. How many seats are in 5 rows?
A= ___
Answers
Answer:
30
Step-by-step explanation:
Kayla is a basketball CHAMP!!! She sits at her desk and throws garbage into the trash can! Last week, she took 30 shots and made 24 of them. What percentage of her shots did Kayla make? (PLEASE HELP!)
Answers
Answer:
80
Step-by-step explanation:
30 = 100
24 = 80
6 x 5 = 30
6 x 4 = 24
5 = 20 because 5 x 8 = 80.
what is the answer for
-7+x/3=-13
Answers
Answer:
x = - 18
Step-by-step explanation:
Given
- 7 + [tex]\frac{x}{3}[/tex] = - 13 ( add 7 to both sides )
[tex]\frac{x}{3}[/tex] = - 6 ( multiply both sides by 3 to clear the fraction )
x = - 18
Answer:
x = -32 or x = -18 Depends on how the equation is written
Step-by-step explanation:
-7 + x/3 = -13
Find the answer by solving for x.
If the equation is written like this:
[tex]\frac{-7+x}{3} = -13[/tex] Multiply both sides by 3 and add 7 to both sides
x = -32
Or if the equation is written like this:
[tex]-7+\frac{x}{3} =-13[/tex] Add 7 to both sides and then multiply by 3
x = -18
What happens as the triangle goes from obtuse to acute
Answers
Answer: the degree will go down 90 degrees
Step-by-step explanation: An obtuse triangle is one that has an angle greater than 90°. An acute triangle is defined as a triangle in which all of the angles are less than 90°.
Jaden invested $300 into a savings account at Simple Bank. He earns 8% interest. How much will
he have in his account, if he does not deposit anymore, and leaves it in the account for 5 years?
Answers
Answer:
400
Step-by-step explanation:
I need help with this question for my math hw. Please Help!
Answers
9514 1404 393
Answer:
1. 2x +2y = 310; x -y = 55
2. y = 50, x = 105
Step-by-step explanation:
Let the numbers be represented by x and y. Double the numbers would give 2x and 2y. We're told the sum of the doubled numbers is 310, so one equation is ...
2x + 2y = 310
The difference of the numbers is (x-y). We're told that difference is 55, so the other equation is ...
x - y = 55
__
We can divide the first equation by 2, and subtract the second.
1/2(2x +2y) -(x -y) = 1/2(310) -(55)
2y = 100 . . . . . . . simplify
y = 50 . . . . . . . . . divide by 2
x -50 = 55 ⇒ x = 105 . . . . use the second equation to find x
The two numbers are 105 and 55.
At a wedding reception, the caterer served fishing chicken. The fish dinner cost $12 per person in the chicken cost $9 per person. The caterer charged 2544 total for the dinner. If 232 people went to the reception, how many people had fish how many had chicken.
Answers
Answer:
80 persons haf fish and 152 persons had chicken
Step-by-step explanation:
Given data
let the number of persons that had fish be x and chicken be y
so
12x+9y=2544------------------1
x+y= 232------------------------2
from 2
x= 232-y
substitute the value of x in 1
12(232-y)+9y=2544
2784-12y+9y=2544
2784-3y=2544
3y= 2784-2544
3y=240
y= 240/3
y=80
put y= 80 in 2
x+80= 232
x= 232-80
x=152
Hence 80 persons haf fish and 152 persons had chicken
To determine the number of deer in a forest, a naturalist catches, tags, and releases 15 deer. Later, 20 deer are caught, and 6 have tags. Estimate the number of deer in the forest.
Answers
Answer:
50 deer in the forest.
Step-by-step explanation:
Since this is a ratio problem and we are given three values and a single unknown (total number of deer) we can use the Rule of three to solve for the variable. We do this by multiplying the diagonal values and then dividing by the last available value. That will give us the value of the variable which in this case would be represented as x.
20 deer <======> 6 tagged
x deer <======> 15 tagged
(20*15) / 6 = x
300 / 6 = 50 total deer
Based on these values we can estimate that there are a total of 50 deer in the forest.
Can u help me plz and say how u done it :)
Answers
Answer:
3(2x+7)
=21x+21
this is the answer hope you like it
Write an algebraic expression for the following word expression.
13 more than the product of m and 3
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Answers
Answer:
3m + 13 = 31 I hope this helps you!
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Answer:
60
Step-by-step explanation:
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Answers
Answer:
2.5
Step-by-step explanation:
45/18 = 2.5
35/24 = 2.5
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Find the value of x in the parallelogram
Answers
What is the GCF of 30 and 45?
What is the LCM of 3 and 8?
Answers
Step-by-step explanation:
The gcf of 30 and 45 is 15.
The Lcm of 3 and 8 is: 24
Charlotte is making a scrapbook. She needs a piece of ribbon that is 3/4 ft long. What is that fraction written as a decimal?
Answers
Find the area of this composite figure.
Answers
Answer: 171 cm
Step-by-step explanation: im not sure if this is right but
9x12=108
9x7=63
108+63=171
Area of rectangle = bh
Total area = Area of triangle + Area of rectangle
Area of rectangle = (12 cm)(9 cm)
Area of rectangle = 108 cm²
Area of triangle = ½(9 cm)(7 cm)
Area of triangle = ½(9 cm)(7 cm)
Area of triangle = 31.5 cm²
Total area = 31.5 cm² + 108 cm²
Total area = 139.5 cm²
Answer: 139.5 cm²
Maria used one bag of flour. She baked
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remaining flour to make 48 muffins. How
much flour was in the bag when Maria
began?
Answers
Answer:
48 pounds
Step-by-step explanation:
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Answer:
The answer would be B !
Step-by-step explanation
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation: