In August, Sara and Mel decided to spend a week fishing. On the first day, Sara caught 2 fish, and Mel caught 4 fish. The next day, Sara had 4 fish altogether, and Mel had 8 fish. On the third day Sara had 6 fish altogether while Mel had 12 fish altogether.

1. If the pattern continues, how many fish will each of them have caught by the end of the week? Fill in the rest of the chart.

Fish caught altogether:
Days
1
2
3
4
5
6
7
Sara
2
4
6





Mel
4
8
12


1. If the pattern continues, how many fish will each of them have caught by the end of the week? Fill in the rest of the chart.

Fish caught altogether:
Days
1
2
3
4
5
6
7
Sara
2
4
6





Mel
4
8
12







2. What is the pattern that describes how many fish Sara caught each day? What is the pattern that describes how many fish Sara caught altogether?







3. What is the pattern that describes how many fish Mel caught each day? What is the pattern that describes how many fish Mel caught altogether?






4. What do you notice when you compare Sara’s pattern and Mel’s Pattern?



5. If Sara and Mel continued fishing, how many fish would they have caught by day 10?



this is worth 100 points

Answers

Answer 1

Turn into coordinates pair

(2,4)(4,8)(6,12)

Slope

m=8-4/4-2=2

Equation

y=2x

#1

A week is of 7 days

total fishes Sara has=2(7)=14

Total mel will have

y=14(2)=28fishes

#2

The each day Sara caught 2fishes

pattern for Sara 's total

2d

d is days

#3

Mel also caught 2(2)=4 fishes a day

Mel caught all together is 2(Sara)

#4

They are in proportion to each other

#5

Sara would have 10(2)=20fishes

Mel would have.

20(2)=40fishes

Answer 2

Answer:

Q1)

The number of fish Sara caught increases by 2 each day.

The number of fish Sara caught increases by 4 each day.

[tex]\large \begin{array}{| c | c | c |}\cline{1-3} & \sf SARA& \sf MEL\\\sf Days & \sf fish\:caught & \sf fish\:caught \\& \sf altogether & \sf altogether\\\cline{1-3} 1 & 2 & 4 \\\cline{1-3} 2 & 4 & 8 \\\cline{1-3} 3 & 6 & 12 \\\cline{1-3} 4 & 8 & 16 \\\cline{1-3} 5 & 10 & 20 \\\cline{1-3} 6 & 12 & 24 \\\cline{1-3} 7 & 14 & 28 \\ \cline{1-3}\end{aligned}[/tex]

Q2)

Sara caught 2 fish each day.

The pattern that describes how many fish Sara caught altogether is:

2 times the number of days

Q3)

Mel caught 4 fish each day.

The pattern that describes how many fish Mel caught altogether is:

4 times the number of days

Q4)

The number of fish Mel caught altogether is twice the number of fish Sara caught altogether.

Q5)

The number of fish Sara and Mel would have caught by day 10:

Sara = 10 × 2 = 20 fishMel = 10 × 4 = 40 fish

Related Questions

There is a pair of parallel sides in the following shape.
6, 7 and 5

What is the area of the shape?

Answers

The shape is a triangle, which only has 3 sides.

I think it's 28 units²

Bayangan segitiga ABC dengan A (2, 4), B(5,0), C(6,4)
karena refleksi terhadap sumbu Y adalah

Answers

Answer:

it is b.

Step-by-step explanation:

as if the slope of x is 5 then y,=,0

pls answer quickly, thanks!!

Answers

At the equilibrium price p, we can solve for the quantity of goods x :

demand = supply

5200 - 0.0005x = 2800 + 0.0003x

2400 = 0.0008x

x = 3,000,000

With this quantity of goods, the equilibrium price is

p = 5200 - 0.0005 (3,000,000)

p = 5200 - 1500

p = 3700

The expansion of (1 + px +qx2)8 is 1 + 8x + 52x² + kx³+... . Calculate the values of p, q and k.



Ans:
[p = 1, q=3, k = 224]


how do i do this question? It’s binomial theorem.


Answers

Answer:

i think you have to multiply

Step-by-step explanation:

Find the value of x and y.Please help!

Answers

The value of x and y in the right angle triangle are 6 units and 10.4 units.

How to find side of a right triangle?

The sides of a right triangle can be found as follows:

using trigonometric ratio,

sin 60 = opposite / hypotenuse

sin 60 = y / 12

cross multiply

y = 12 sin 60

y = 10.3923048454

y = 10.4 units

Therefore,

cos 60 = adjacent / hypotenuse

cos 60 = x / 12

x = 12 cos 60

x = 6 units

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So we conclude that x measures 6 units and y measures 10.39 units.

How to find the value of x and y?

Here we have a right triangle.

x is the adjacent cathetus to the shown angle, and y is the opposite cathetus. We can see that the hypotenuse measures 12.

Then using trigonometric relations we get:

y = sin(60°)*12 = 10.39x = cos(60°)*12 = 6

So we conclude that x measures 6 units and y measures 10.39 units.

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please help me!!!!!!!! will mark brainliest

Answers

Answer:

i) 0.5

ii) 0.76

Step-by-step explanation:

i) 0.5

ii) 0.76

40
A box contains
crayons.
Of these, 7 are red. 4 are blue. 8 are
green, and the rest are yellow. If a
crayon is chosen at random, not
replaced, then another is chosen.
what is the probability that
both crayons are yellow?

Answers

There is a 21/40 chance a yellow crayon will be chosen or 0.525

Answer:

51%

Step-by-step explanation:

The graph of f(x) = 3.2x-3 is shown below. g(x) is a transformation of f(x).
How would you write the equation for the function g(x)?

Answers

Answer:

  C.  g(x) = 3·2^x +2

Step-by-step explanation:

The graph of g(x) appears to be a translation upward of the graph of f(x).

__

To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)

  g(x) = f(x) +5

  g(x) = (3·2^x -3) +5

  g(x) = 3·2^x +2

__

You can also determine the correct choice by looking at the value at x=0:

  A. g(0) = 3 +6 = 9

  B. g(0) = 1 +3 = 4

 C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph

  D. g(0) = 3

The average annual rainfall in Salt Lake City, Utah, is 18.58 inches, and the average annual rainfall in New York City is 46.23 inches. What might be the reason for the difference in the cities’ average annual rainfall?



A.
Utah is close to an ocean, while New York City is landlocked.
B.
New York City is close to an ocean, while Utah is landlocked.
C.
New York City lies in a rain shadow area.
D.
New York City is closer to mountains.

Answers

The correct answer I believe is B

12. If you buy a bag of pretzels ($0.75 per bag) and a Pepsi ($1.25) every weekday at work from a vending machine, how much do you spend on the vending machine products over the course of a year (52 weeks)

Answers

0.75 + 1.25 = $2 everyday

Since there are 5 weekdays:

5 x 2 = $10 a week

Since there are 52 weeks in a year:

10 x 52 = $520 a year!

Find the value of x to the nearest tenth.



4.5

7.2

6.3

5.4

Answers

Answer:

there's no picture dude

RIDDLE ME THIS:

You are in a race. You pass the person in second place. What place are you in now.

Answers

Second place, because you are over taking the person that was in second so you are practically stealing the position from him

Let an denote the nth term of a geometric sequence. let a0=256 and an+1=0.5an .

part a

write an explicit formula for this sequence.

an=

part b

to the nearest whole number, what is the sum of the first 25 terms?

Answers

The explicit formula is [tex]a_{n-1} = 256 * 0.5^{n-1[/tex] and the sum of the first 25 terms is approximately 512

The explicit formula

The given parameters are:

[tex]a_0 = 256[/tex]

[tex]a_{n +1} = 0.5a_n[/tex]

Set n = 0

[tex]a_1 = 0.5a_0[/tex]

Substitute 256 for a0

[tex]a_1 = 0.5 * 256[/tex]

[tex]a_1 = 128[/tex]

This means that the common ratio is 0.5.

The explicit formula is then represented as:

[tex]a_{n-1} = a_0 * r^{n-1[/tex]

This gives

[tex]a_{n-1} = 256 * 0.5^{n-1[/tex]

The sum of the first 25 terms

This is calculated using:

[tex]S_n = \frac{a_0(r^{n-1} -1)}{r - 1}[/tex]

This gives

[tex]S_{25} = \frac{256 * (0.5^{25-1} -1)}{0.5 - 1}[/tex]

Evaluate

[tex]S_{25} = 512[/tex]

Hence, the sum of the first 25 terms is approximately 512

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find the value of A , B and C from the following figure​

Answers

Step-by-step explanation:

Here in the given figure the value of x will be 70° ( being alternative angle )

x = 70°

Now...

y = 60° ( being corresponding angle )

Now...

60° + 70° + z = 180° ( the sum of interior angle of triangle is 180°

z = 180° - 130°

z = 50° ..

[tex]...[/tex]

6+x^4-3x^2-5x
WHAT IS THE CONSTANT AND WHY

Answers

6
Think of a constant as a bald number
Constant is just a simple number with no xs attached
1 2 3
-1 -2 -3

Answer:

6

Step-by-step explanation:

The constant is the number that's all by itself with no variable.

x is the variable. It can vary (change) as you use different values for x.

There are four terms here in the expression in your question they are separated by the plus or minus signs.

2 and 4 are exponents. 3 and 5 are coefficients.

x^4 is a fourth degree term. 3x^2 is a second degree term. 5x is a first degree term. The whole expression is 4th degree because the highest exponent is 4.

But the 6 is all by itself. 6 is the constant.

Kat is painting the edge of a triangular stage prop with orange paint. The lengths of the edges of the triangle are (3x-4) feet, (x2-1) feet, and (2x-15) feet. What is the perimeter Of the triangle if x =4

Answers

The perimeter of the triangle is 16 feet

What is the perimeter of a triangle?

The perimeter of a triangle refers to the calculation of the total distance bounded by the triangle or around the triangle.

Perimeter of a triangle = (3x - 4) + (x² - 1) + (2x - 15)

Perimeter of a triangle = 5x + x² - 20

If x = 4

Perimeter of a triangle =  5(4) + (4)² - 20

Perimeter of a triangle = 16

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enter the value of z when y = 7 and x = 14.

Answers

The value of z is 7 when y = 7 and x = 14.

Complete question

If x varies directly as y and inversely as z and when y = 16 and z = 14,  x = 16. Enter the value of z when y = 7 and x = 14.

How to determine the value of z?

The variation involves a direct and inverse variation from x to y and z.

This is represented as:

[tex]x = \frac{ky}{z}[/tex]

Where k is the constant of variation

For the first set of values, we have:

[tex]16 = \frac{k * 16}{14}[/tex]

Solve for k

k = 14

For the second set of values, we have:

[tex]14 = \frac{k * 7}{z}[/tex]

Substitute 14 for k

[tex]14 = \frac{14 * 7}{z}[/tex]

Solve for z

z = 7

Hence, the value of z is 7

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If the exchange rate when converting US dollars to Za rands is $1=R17
1. How much is $100 in ZA rands

Answers

Given:1 US Dollar= R17To find:

How much is $100 in ZA rands.

Solution:

Let the unknown be "x"

[tex]\frac{1}{17}×\frac{100}{x}[/tex]

We'll have to do cross multiplication.

So we'll have to multiply 100 and 17.

[tex]100×17[/tex]

[tex]\huge\boxed{= 1700 \: ZA \: rands}[/tex]

Therefore, $100 is 1700 ZA rands.

Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g. g(x) = f(x − 3) + 4 A. The graph of function f is shifted right 3 units and up 4 units. B. The graph of function f is shifted right 3 units and down 4 units. C. The graph of function f is shifted left 3 units and down 4 units. D. The graph of function f is shifted left 3 units and up 4 units. Reset Next

Answers

The option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a transformation function:

g(x) = f(x - 3) + 4

The parent function is f(x).

First transformation:

x → (x - 3)

The function will shift right by 3 units.

Second transformation:

Add 4 to the function:

g(x) = f(x - 3) + 4

The function will shift up by 4 units.

Thus, the option (A) "The graph of function f is shifted right 3 units and up 4 units. " is correct.

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Factor the expression.
12x+10

Answers

Answer:  2(6x+5)

Work Shown:

12x+10

2*6x+2*5

2(6x+5)

Effectively, we use the distributive property in reverse when it comes to factoring expressions like this.

The distributive property in general is a*(b+c) = a*b+a*c

1) Find the Greatest Common Factor (GCF).

1 What is the largest number that divides evenly into 12 and 10?

It is 2.

2 What is the highest degree of  that divides evenly into 12and 10?

It is 1, since x is not in every term.

3 Multiplying the results above,

The GCF is 22.

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]2(\frac{12x}{2}+\frac{10}{2})[/tex]

3) Simplify each term in parentheses.

2(6x+5)

classify the pair of angles. then find the value of x.

(need help with 13 & 15!)

Answers

The value of x from the figures are 18 and 26 respectively

Vertical and complementary angles

13) From the diagram, the angles at the corner is 90 degrees. This shows that the sum of the angles is complementary (sum is 90 degrees)

3x + 2x = 90

5x = 90

x = 90/5

x = 18

15) Since the sum of angles on a straight line is supplementary, hence;

6x + x - 2 = 180

7x = 182

x = 182/7

x = 26

Hence the value of x from the figures are 18 and 26 respectively

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Jacob bought a deluxe computer system for his home business. The system cost
$2,395. The value of the computer system will depreciate at a rate of 12% a year.
What will be the cash value of the computer system in 3 years? Round your answer to
the nearest dollar.
O $287
O $2108
O $1632
O $2682

Answers

The cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632

Depreciation

From the question, we are to determine the cash value of the computer system in 3 years

From the given information,

The computer system cost $2,395 and it will depreciate at a rate of 12% a year

After the first year, the worth of the computer system will be

$2,395 - (12% of $2,395)

$2,395 - (0.12 × $2,395)

= $2,395 - $287.4

= $2107.6

After the second year, the worth of the computer system will be

$2107.6 - (12% of $2107.6)

$2107.6 - (0.12 × $2107.6)

= $2107.6 - $252.912

= $1854.688

After the third year, the worth of the computer system will be

$1854.688 - (12% of $1854.688)

$1854.688 - (0.12 × $1854.688)

= $1854.688 - $222.56256

= $1632.12544

$1632

Hence, the cash value of the computer system in 3 years will be $1632. The correct option is the third option $1632

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A. (x, y) = (x + 6, y)
B. (x', y') = (x − 6, y)
C. g(x) = f(x+6)
D. g(x) = f(x-6)
E. g(x) = f(x) + 6
F. g(x) = f(x) - 6

Answers

Answer:

i don't know, you need to tell us what we need to do

Step-by-step explanation:

A right square pyramid and its dimensions are shown below.

Answers

Answer:

C) 8 m²

Step-by-step explanation:

Volume of a square pyramid :

V = 1/3BhV = 1/3 x (2.5)² x 4V = 1/3 x 25V = 25/3V = 8.3 ≈ 8 m²

Expand: In (4a)^3
help please

Answers

Answer:

[tex]3\ln 4 + 3 \ln a[/tex]

Step-by-step explanation:

[tex]\ln(4a)^3\\\\=3\ln (4a)~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[\log_b m^n = n \log_b m]\\\\=3(\ln 4 + \ln a)~~~~~~~~~~~~~~~~~~~~;[\log_b (mn) = \log_b m + \log_b n]\\\\=3\ln 4 + 3 \ln a[/tex]

AYUDA !!!
hallar el m.c.d por descomposición canónica en cada caso
A) 52 Y 78
B) 56 Y 72
C) 84 Y 96

Answers

Answer:

B

Step-by-step explanation:

Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be lose

Solve the inequality 4x - 7> 3

Answers

Answer:

[tex]x > \frac{5}{2} > 2\frac{1}{2}[/tex]

Step-by-step explanation:

group

[tex]4x-7 > 3\\4x-7+7 > 3+7\\4x > 3+7\\4x > 10[/tex]

isolate "x"

[tex]4x > 10\\=\frac{4x}{4} > \frac{10}{4}\\x > \frac{10}{4}\\x > \left(\frac{5\cdot 2}{2\cdot 2}\right)\\x > \frac{5}{2}[/tex]

Answer:

x > 2.5 or in fraction form x > 2 1/2

Step-by-step explanation:

4x - 7 > 3

     +7  +7         Add seven to both sides.

4x > 10

÷4     ÷4            Divide both sides by 4.

x > 2.5

Hope this helps!

What is the perimeter of the rectangle

30
108
96
54
15

Answers

add the side lengths together 6+6+9+9=30

Answer:

30

Step-by-step explanation:

The formula for the perimeter of a rectangle is, P = length + breadth + length + breadth.

so, P = 9+6+9+6

P = 30

Find the slope of the line through the each pair of points
(16, 14), (-2, 0)

Answers

Answer:

[tex]\text{Slope} = \dfrac{7}9[/tex]

Step-by-step explanation:

[tex]\text{Given that,}~ (x_1,y_1) = (16,14)~ \text{and}~ (x_2,y_2) = (-2,0)\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 -x_1}\\\\\\~~~~~~~~~~~~=\dfrac{0-14}{-2-16}\\\\\\~~~~~~~~~~~~=\dfrac{-14}{-18}\\\\\\~~~~~~~~~~~~=\dfrac{7}9[/tex]

Answer:

m = 7/9

m = 7/9m ≈ 0.80

Step-by-step explanation:

Given two points:

(16, 14), (-2, 0)

To find:

The slope

Solution:

We know that,

[tex] \rm Slope(m) = \cfrac{ y_2 - y_1}{x_2 - x_1} [/tex]

According to the question,

y_2 = 0y_1 = 14x_2 = -2x_1 = 16

Note:[The underscore refers to that the numbers after the underscore is a subscript]

So Substitute them on the formulae:

[tex] \implies \rm \: m = \cfrac{0 - 14}{ - 2 - 16} [/tex]

Simplify it.

[tex] \implies \rm \: m = \cfrac{ \cancel{- 14} \: {}^{7} }{ \cancel{- 18} \: {}^{9} } [/tex]

[tex] \implies \boxed{ \rm \: m = \cfrac{7}{9} }[/tex]

[tex] \implies \rm \boxed{ \rm m \approx0.80}[/tex]

Thus,the slope is 7/9 in fraction and 0.80 (Nearest tenth) in decimal.

yyghhghh pls help jgghdeshr3fwqhqjwgdqe

Answers

Answer: The answer is 22

Step-by-step explanation: you divide the 36 and the 9 to get 4 then you add the 18 and the 4 to get 22

Answer:

22

Step-by-step explanation:

[tex]18+(\frac{36}{9})=?\\ 18+4=?\\22=?[/tex]

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