Step-by-step explanation:
The values on the left of the table represent the number of fish caught, and the number of the right of the table represents how many family members caught that amount of fish.
Therefore, the first row means that 0 family members caught 0 fish.
The second row means that 3 family members caught 1 fish.
The third row would mean 1 family member caught 2 fish.
The next row would mean 0 family members caught 3 fish.
And the final row would mean 4 family members caught 4 fish.
The question does not ask for the total amount of fish caught; rather is ask for the maximum number of fish that a single family member caught.
Therefore, the maximum amount of fish that a single family member catches is 4. (And 4 family members did so. But individually, the maximum amount of fish one person caught is 4).
2. Select two equations of lines that are perpendicular
to the line whose equation is 2x + 14y = 70.
A. y = 7x + 10
B. y=-x + 12
C. y = -7x + 5
D. y = x+8
E. 3y = 21x + 8
Answer: A and C
Step-by-step explanation:
I did it :)
The line which is perpendicular to 2x + 14y = 70 mus have a slope of 7/2.
What is a linear function?A linear function is in the form:
y = mx + b
Where m is the slope and b is the y intercept
Two lines are perpendicular if the product of there slope is -1
Given the line:
2x + 14y = 70
14y = -2x + 70
y = (-2/7)x + 70
The line which is perpendicular to 2x + 14y = 70 mus have a slope of 7/2.
Find out more on linear function at: https://brainly.com/question/15602982
if -1 is one of the zeroes of py 3x^3-5x^2-11x-3 find other zeroes
Given:
The function is:
[tex]y=3x^3-5x^2-11x-3[/tex]
It is given that -1 is a zero of the given function.
To find:
The other zeroes of the given function.
Solution:
If c is a zero of a polynomial P(x), then (x-c) is a factor of the polynomial.
It is given that -1 is a zero of the given function. So, [tex](x+1)[/tex] is a factor of the given function.
We have,
[tex]y=3x^3-5x^2-11x-3[/tex]
Split the middle terms in such a way so that we get (x+1) as a factor.
[tex]y=3x^3+3x^2-8x^2-8x-3x-3[/tex]
[tex]y=3x^2(x+1)-8x(x+1)-3(x+1)[/tex]
[tex]y=(x+1)(3x^2-8x-3)[/tex]
Again splitting the middle term, we get
[tex]y=(x+1)(3x^2-9x+x-3)[/tex]
[tex]y=(x+1)(3x(x-3)+1(x-3))[/tex]
[tex]y=(x+1)(3x+1)(x-3)[/tex]
For zeroes, [tex]y=0[/tex].
[tex](x+1)(3x+1)(x-3)=0[/tex]
[tex](x+1)=0[/tex] and [tex]3x+1=0[/tex] and [tex]x-3=0[/tex]
[tex]x=-1[/tex] and [tex]x=-\dfrac{1}{3}[/tex] and [tex]x=3[/tex]
Therefore, the other two zeroes of the given function are [tex]-\dfrac{1}{3}[/tex] and [tex]3[/tex].
PLEASE HELO ASAP WILL GIVE BRAINLEAST TO RIGHT ANSWER
Answer:
Option D.
Step-by-step explanation:
hope it helps...
PLEASE HELPPPPPPPPPPPPP
Answer:
Area = 1/2*(16+4)*5
= 50 yd²
Step-by-step explanation:
Hope it helps you......
Henry can write 5 pages of his novel in 4 hours. At this rate, how many pages can Henry write in 8 hours?
Answer:
Henry can write 10 pages in 8 hours.
Step-by-step explanation:
Our unit rate (number of pages in a given number of hours) is
5 pages
--------------
4 hrs
It is not necessary to perform the indicated division. Just multiply this unit rate by '8 hours':
5 pages
-------------- * 8 hrs = 10 pages
4 hrs
Henry can write 10 pages in 8 hours.
The perimeter of rectangle is 40 cm and the breadth is 8 cm. Find its length.
Answer:
divide 40 by 8cm. it's pretty self explanatory
Step-by-step explanation:
[tex]40cm \div 8cm[/tex]
divided 8 on both sides.
divide 40 from 8 and you're left with 5 cm. the length is 5.
Answer:
length = 12 cm
Step-by-step explanation:
The perimeter (P) of a rectangle is calculated as
P = 2l + 2b ( l is the length and b the breadth )
let x be the length , then
2x + 2(8) = 40
2x + 16 = 40 ( subtract 16 from both sides )
2x = 24 ( divide both sides by 2 )
x = 12
That is the length is 12 cm
4²+A = can someone simplify this please
Answer:
16+A
Step-by-step explanation:
4*4=16
Answer:
16 + A
Step-by-step explanation:
We have the equation 4² + A and are asked to simplify.
We only have one thing to simplify here, since we can't combine "4²" and "A" due to not having the same variable ending. This would be the exponent "4²".
[tex]4^2[/tex]
[tex]16[/tex]
Therefore, this equation simplified is 16 + A
Colin invests £300 into his bank account.
He receives 5% per year compound interest.
How much will Colin have after 6 years?
Answer:
90 dollars or euros whatever its called
An architect is recreating the blueprint for a deck with an existing scale factor of 1 in. equals 2 ft, that is shown. The architect is using a different scale so that the length of the same deck on the new blueprint measures 8 inches. Complete parts a and b. What is the scale factor of the new blue print? 1 inch = ______feet.
Part 2: What is the width of the deck on the new blueprint?
Answer:
[tex](a)\ k_2 = 1in:3ft[/tex]
[tex](b)\ Scale\ width =\frac{16}{3}\ in[/tex]
Step-by-step explanation:
Given
[tex]k_1 = 1in : 2ft[/tex] --- Initial scale factor
[tex]Blueprint: 12in\ by\ 8in[/tex] --- Missing from the question
Solving (a): The new scale factor.
Convert the initial blueprint to actual measurement using the initial scale factor, we have:
[tex]Length = 12 * 2ft = 24ft[/tex]
[tex]Width = 8 * 2ft = 16ft[/tex]
From the question, we understand the new scale factor represents the width as 8in.
The scale factor (k2) is then calculated as:
[tex]k_2 = \frac{Scale\ length}{Actual\ length}[/tex]
[tex]k_2 = \frac{8in}{24ft}[/tex]
Simplify
[tex]k_2 = \frac{1in}{3ft}[/tex]
Represent as fraction
[tex]k_2 = 1in:3ft[/tex]
The above is the new scale factor
Solving (b): The new width
Using the scale factor above we have:
[tex]k_2 = \frac{Scale\ width}{Actual\ width}[/tex]
[tex]\frac{1in}{3ft} = \frac{Scale\ width}{16ft}[/tex]
The 16 is gotten from:
[tex]Width = 8 * 2ft = 16ft[/tex]
So, we have:
[tex]Scale\ width = 16ft * \frac{1in}{3ft}[/tex]
[tex]Scale\ width = 16 * \frac{1in}{3}[/tex]
[tex]Scale\ width =\frac{16\ in}{3}[/tex]
[tex]Scale\ width =\frac{16}{3}\ in[/tex]
Hence, the scale width of the blueprint is: 16/3 inches
Answer: Part A is 3 and part b is 5 1/3 inches
Step-by-step explanation:
Sam made 30% of goals in his last 6 games. The points his team scored in the games were 112, 89, 95, 77 and 103 points. On average how many goals did Sam score in each of the last 6 games.
Answer:
28.56
Step-by-step explanation:
First we need to calculate the mean average of the numbers
Average = 112+89+95+77+103/5
Average = 476/5
Average = 95.2
If Sam made 30% of goals in his last 6 games, then on average, amount made is expressed as;
Average of the last six games = 30% of 95.3
Average of the last six games = 0.3 * 95.2
Average of the last six games = 28.56
Hence the required point average is 28.56
a graph.
Write a function to represent the table and give the average rate of change over
interval 0
8.
х
-1
0
1
2
3
у
10
12
14
16
18
9.
х
-2
-1
0
1
2
y
4
2
1
0.5
0.25
Answer:
3*3+5+6
Step-by-step explanation:
i hope its correct
Find the volume of the shape below
Answer:
112
Step-by-step explanation:
10 - 2 = 8
8 * 2 * 4 = 64
6 * 2 * 4 = 48
64 + 48 = 112
NEED HELP JHITS HELP HELP
Answer:
do you know the equation?
Step-by-step explanation:
Help
I need help can some help me!! I give you
Answer:
x=6
Step-by-step explanation:
its an equilateral triangle so all sides are the same measure
9=3x-9
18=3x
x=6
Find the area
2 cm
17 cm
Help me please
Step-by-step explanation:
you question isn't clear enough
find the area of what actually?
Answer:
square = 34
triangle = 17
Step-by-step explanation:
Victor opened a savings account that earns 4.5% simple interest. He deposited $5, 725 into the account. What will his BALANCE be after five years? ( no links)
find the missing length!!!!!
Answer:
2x^2+4x
HOPE THIS HELPS
-Todo <3
Step-by-step explanation:
9x^2+2x
2x^2+4x
(if you would like an explanation let me know :D)
The scores 2, 3, 7, and x have a mean of 5 What is the value of x?
5
6
7
8
12
Answer:
[tex]2 + 3 + 7 + x = 4 \times 5 \\ x = 20 - 12 = 8[/tex]
PLZZZZ HELP ASAP PLZZZ
Answer:
1. (5x - 2) + (2x - 2) + x = [tex]180^{o}[/tex]
2. m<J = [tex]113^{o}[/tex]
3. m<K = [tex]44^{o}[/tex]
4. m<L = [tex]23^{o}[/tex]
Step-by-step explanation:
Generally, the sum of angles in a triangle = [tex]180^{o}[/tex].
So that;
m<J + m<K + m<L = [tex]180^{o}[/tex]
(5x - 2) + (2x - 2) + x = [tex]180^{o}[/tex]
5x + 2x + x -2 -2 = [tex]180^{o}[/tex]
8x - 4 = [tex]180^{o}[/tex]
8x = [tex]180^{o}[/tex] + 4
8x = 184
x = [tex]\frac{184}{8}[/tex]
x = [tex]23^{o}[/tex]
Thus,
m<J = (5x - 2)
= 5(23) - 2
= [tex]113^{o}[/tex]
m<K = (2x -2)
= 2(23) - 2
= [tex]44^{o}[/tex]
m<L = x
= [tex]23^{o}[/tex]
An object has a mass of 7.2 kg and a density of 0.9 kg/m3.
Find the volume of the object in mº.
Answer:
mass=180kg and the volume=6m³.
then the formula to find density is= mass/volume
using this formula,180kg/6m³=30kg/m³
Answer:
8 m³
Step-by-step explanation:
Let v represent the volume. Recall that density is mass/volume, which here is 0.9 kg/m³. To find the volume of this object, divide the density into the mass:
7.2 kg
--------------- = 8 m³
0.9 kg/m³
Please help me with the question
Answer:
12^13
Step-by-step explanation:
When multiplying the same number with exponents, you add the exponents together and the number stays the same.
If 1=5 2=12 3=31 4=68 then what is 5
Listen
Pat bounces a basketball 25 times in 30 seconds. At that rate, approximately how many
times will Pat bounce the ball in 150 seconds?
Answer: Pat bonces the ball 125 times in 150 seconds.
A baker has 214 cups of blueberries to make three batches of muffins. How many cups of blueberries should the baker put into each batch? The baker should put ___ cup(s) of blueberries in each batch
Answer:
71
Step-by-step explanation:
214/3
Car rental agencey a charges $50 per day plus 10 cents per mile driven agency b charges $20 per day plus 30 cents per mile driven for a one day rental it is cheaper to rent from ange a if you drive more
Answer:
D) 150 miles.
Step-by-step explanation:
The computation is shown below:
Given that
The Cost of the car rental agency of A is $50 + 0.10 per mile
The Cost of the car rental agency of B is $20 + 0.30 per mile
Here we assume the per mile be x
Now we equate these equations
SO,
$50 + 0.10x = $20 + 0.30x
$30 = 0.20x
x = 150
SO it would be more than 150 miles
Find the distance between these two points, (-4,0) and (4,0).
Answer:
The distance between the two points is 8 units.
Step-by-step explanation:
Hope this helps!! Have an Amazing day!!
Answer:
There's y and x which one you're are talking about?
it is x the distance is 8.
negative four + positive four will give us zero but if you add the both it will give us the distance between them
Angie takes a ferry ride with her niece. The cost of a ticket for an adult (Angie) is three dollars more than the cost of the ticket for a child (her niece). If the cost of an adult ticket is x dollars, which expression gives the total cost of the tickets for Angie and her niece?
2x − 3
2x + 3
2(x + 3)
2(x − 3)
that is just a screenshot of a weird dude on one of the pictures
Answer:
2x − 3
Step-by-step explanat
Is 0.3 the multiplicative inverse of 3 1/3? Why or why not?
Chapter : Rational Numbers
Answer:
3 1/3 = 10/3
0.3 = 3/10
a * 1/a =1
then 1/a is multiplicative inverse of a
0.3* 3 1/3 = 3/10 * 10/3 =1
0.3 is multiplicative inverse of 3 1/3
Step-by-step explanation:
Answer:
3 1/3 = 10/3
10.3 = 0.3 = 3 1/3
x * 1/x = 1
∴ yes, the multiplicative reverse of 3 1/3 is 0.3
hope this answer helps you.....
Can somebody please help
i honestly don't know :-l
pleaseeeeee show the work
Answer:
I got x=10
Step-by-step explanation:
Step 1
Everything must add up to 180
180= 6x - 6 + 7x + 1 +55
Step 2
Combine everything
6x + 7x = 13x
-6 + 1 +55 =50
180 = 13x + 50
Step 4
Subtract. 180 -50
130 = 13x
Step 5
Divide 130/13
X=10
6(10) -6 = 54
7(10) + 1=71