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
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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The Grade 5, 6 and 7 classes are putting on a talent show. Fifty percent of
the participants are from Grade 6 and 0.3 of the participants are from
Grade 5. What is the fraction of participants from Grade 7
Answer:
Here's how to solve the problem
Step-by-step explanation:
50% of participants are in 6th grade.
100% - 50% = 50
0.3, when converted to percentage form is 30%
50% - 30% = 20%
This remaining 20% is how many participants, out of the whole, are in the 7th grade
20% = 0.2 = 2/10 = 20/100
The cross country team practices by jogging on
the town’s streets. The average jogging rate
is 6 mi
les per hour. One member jogged for
3.5 hours one weekend. How many mi
les did
the team member jog?
Zeda described four triangles as shown below:
Triangle P: Two angles measure 50°.
Triangle Q: All sides have length 13 cm.
Triangle R: Two sides have length 3 cm, and the included angle measures 60°.
Triangle S: Base has length 5 cm, and base angles measure 30°.
Which triangle is not a unique triangle? (5 points)
Triangle P
Triangle Q
Triangle R
Triangle S
Answer:
Triangle P
Step-by-step explanation:
Ok last question its very "hard" mods don't delete
what is 3x+12= 42
Answer:
x is 10.
Step-by-step explanation:
3x + 12 = 42
Subtract 12 from both sides
3x = 42 - 12
Subtract 12 from 42 to get 30
3x = 30
Divide both sides by 3
x = 30/3
Divide 30 by 3 to get 10
x = 10
If you order 3 pizzas, you will get 30 slices of pizza. How many slices are there in one pizza?
Answer:
There are 10 slices in one pizza.
Step-by-step explanation:
30 ÷ 3 = 10
Answer:
10 slices
Step-by-step explanation:
30÷3=10 meaning every pizza will have 10 slices and 2 pizzas will have 20.
Dan invests £15000 into his bank account.
He receives 2.5% per year simple interest.
How much will Dan have after 4 years ?
Answer:
$16,557
Step-by-step explanation:
The computation of the amount after four years is shown below:
As we know that
Future value = Present value × (1 + rate of interest)^number of years
= £15,000 × (1 + 2.5%)^4
= £15,000 × 1.025^4
= $16,557
Choose the correct inequality statement to compare the following two integers.
9 and 2
options:
9 < 2
2 > 9
9 > 2
2 = 9
Answer:
3. trust me because 9 is leads than 2
Kaydence and Delilah are playing mini golf. Delilah's final score was 42. In mini golf, the player with the lowest score wins. Kaydence has 5 holes left and has a score of 27. This inequality represents x, the average number of shots she can take on each hole in order to beat Delilah's score. Which inequality shows how many shots she can take on each hole, on average, in order to beat Delilah's score? A. X < 3 B. X < 4 C. X < 10 D. X < 5
Answer:
A. X < 3
Step-by-step explanation:
Let x represent the average number of shots Kaydence can take on each hole in order to beat Delilah's score.
Delilah final score is 42 while Kaydence has 5 holes left and has a score of 27. Hence:
number of holes left for Kaydence * x < Delilah final score - Kaydence present score
That is:
5*x < 42 - 27
Simplifying gives:
5x < 15
Dividing both sides by 5 to make x the subject of the inequality:
5x / 5 < 15 / 5
x < 3
Answer:
The person from the top was correct
Step-by-step explanation:
x < 3
James wants to find the average cost of transportation he used on holiday?
Train tickets: £8.50
Coach Tickets: £7.00
Bus Tickets : £5.70
Taxi Fares : 62.00
What is the mean cost of transportation?
Which piece of data distorts the mean average?
1. Train Tickets
2. Coach Tickets
3. Bus Tickets
4. Taxi fares
The mean cost of transportation is £20.80
The peace of data that distorts the mean average is the taxi fares.
Step-by-step explanation:
Since the mean is the average, you add all the piece of date together then divide by the amount of data.
The equation for that would look something like this:
[tex](8.5 + 7 + 5.7 + 62) \div 4[/tex]
What’s the solution ??
Answer:
(5,-2)
Step-by-step explanation:
Elimination equations
9x - 4y = 19
4x+4y=20
The solution to the system of equations 9x - 4y = 19 and 4x + 4y = 20
is x = 3 and y = 2.
What are linear and non-linear functions?A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x - 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear.
Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, Two linear equations in two variables 'x' and 'y',
9x - 4y = 19 and 4x + 4y = 20.
Now, Adding these two equations we have,
13x = 39.
x = 3 and hence y = 2.
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-4
-3
-2
-1
0
1
2
3
what is the inequality shown
Answer:
Ok, I'm pretty sure its -4
The top base of a trapezoid is 18 inches shorter than the bottom base. The top base is 108 inches long.
Let b represent the length of the bottom base. Which equation models the problem?
and don't forget is this problem a adding or subtraction
If I run 50 yards, how much less did I run (in inches) than 50 meters?
Answer: 168.5 inches
50 yards = 1800 inches
50 meters = 1968.5 inches.
So, if you run 50 yards, you run 1968.5 - 1800, 168.5 inches less than 50 meters.
Let me know if this helps!
what is this pls help me 54 point to whoever helps me
Answer:
3 1/5
Step-by-step explanation:
Classify the Polynomial by its number of terms.
Trinomia
O Polynomial
O Monomia
Binomial
Answer:
it is a polynomial because it has more than two terms
Right answer gets brainlist
Answer:
546
Step-by-step explanation:
Surface Area = 2(lw + lh + wh)
plug in 21 10.5 and 2.5
you estimate a lion weighs 250 pounds. the actual weight of the lion is 320 pounds. find the percent error. round your answer to the nearest tenth of a percent.
Answer:
21.9%
Step-by-step explanation:
Percent error = amount of error/actual amount
320 - 250 = 70
70/320 (division) = 0.21875
percent = 21.875%
Rounding to nearest tenth = 21.9%
Your answer should be 21.9%, so I hope this helps!
Answer:
22%
Step-by-step explanation:
find the product of 4h+6 and h-5
Answer:
4h^2 -14h - 30
Step-by-step explanation:
Foil the binomials:
Multiply the first two 4h^2
Multiply the outer two -20h
Multiply the inner two +6h
Multiply the last two terms -30
Then combine like terms and you get final answer
The triangles shown are similar. Which angle corresponds to angle E
Answer:
Angle P
Step-by-step explanation:
expand and simplify (X+7) (x-2)
Urgent please my teacher threatened me with an axe
Answer:
x²+5x-14
Step-by-step explanation:
expand out the brackets:
x²-2x+7x-14
simplify:
x²+5x-14
could someone please help and fast
Answer:
x=48 degrees
Step-by-step explanation:
hope this helps :D
Answer:
x=162°
Step-by-step explanation:
interior angle of B= 180-75= 105°
interior angle of E=180-123=57°
105+57=162°
x=162°
Anna, Laura and David each earn the same monthly salary.
Each month, Anna saves 19 percent of her salary and spends the rest of it.
Laura spends 17/20 of her salary and saves the rest of it.
Amount of salary David saves : amount of salary he spends =2:8.
Work out who saves the most of their salary each month.
Show how you got your answer.
ABCD is a trapezium
AD and BC are parallel
Work out the length of BD to 1 decimal place
Work out the length of CD to 1 decimal place
Answer:
a) 12.1
b) 15.1
Step-by-step explanation:
A telephone pole is 54 feet tall. A guy wire runs 79 feet, from point A at the top of the telephone pole, to the ground at point B. The base of the telephone pole is at point C. Triangle ABC is a right triangle.
How far is it from the base of the telephone pole to point B where the guy wire is secured to the ground? Round to the nearest tenth of a foot.
ft
Answer:
57.7 ft
Step-by-step explanation:
54 squared + b squared = 79 squared
2916 + b squared = 6241
-2916 -2916
b squared = 3325
b = 57.7
Insta - Oreo.is.free
The distance that the base of the telephone pole to point B where the guy wire is secured to the ground is 57.7 feet
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given that triangle ABC is a right triangle.
Point A is the top of the telephone pole.
Point B is the point on the ground.
Point C is the base of the telephone pole.
Given,
AB = 79 feet
AC is the height of the telephone pole = 54 feet
Angle C is a right angle.
Using Pythagoras theorem,
(AB)² = (AC)² + (BC)²
79² = 54² + (BC)²
(BC)² = 79² - 54²
(BC)² = 3325
BC = √3325 = 57.66 ≈ 57.7 feet
Hence the length of the base of the pole form the ground where the wire is secured is approximately 57.7 feet.
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Help pls on this i will give 40 points
Answer:
1/8 0r 0.125
Step-by-step explanation:
Answer: 1/2
Step-by-step explanation:
so its 1/2 x 3. so 1/2x1/2 which is 1/2 then 1/2 times 1/2 which is just 1/2 again
What is a slope in mathematical terms
Answer:
"The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x)."
Answer:
It is how steep a linear graph/function is.
Step-by-step explanation:
It is the m in the formula y=mx+b. The bigger the member the steeper.
Decrease 20g by 90% I don’t get this
Answer:
Step-by-step explanation:
If you wanna decrease the number 10 by 90%, It's just 9. You simply need to multiply a/100 at the number you try to decrease by a%.
Answer:
Decrease 20g by 90%: final value 2 gm
Step-by-step explanation:
decrease 90%: decrease 20 * 0.9 = 18
new value after decrease: 20 - 18 = 2
Find the point where the two lines intersect (both problems, please. I don't understand it ;-; )
Answer:
point a to point b is only one lkine.
If you're looking for it's length then (11,-7), or 13.04
Step-by-step explanation: