Please help me! I don't understand this its confusing to me :(

Answer:

\(a_{n}\) = 10.5 - 3n

Step-by-step explanation:

The explicit rule for an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

A recursive formula has the form

\(a_{n}\) = \(a_{n-1}\) + d ( where d is the common difference )

Given

\(a_{n}\) = \(a_{n-1}\) - 3 ⇒ d = - 3

Thus explicit rule with a₁ = 7.5 and d = - 3

\(a_{n}\) = 7.5 - 3(n - 1) = 7.5 - 3n + 3 = 10.5 - 3n

The correct proportion to use to find the amount of orange juice, j, needed to add to 18 L of pineapple juice is:

2/8 = j/18

This proportion relates the ratio of orange juice to pineapple juice in the recipe (2:8) to the amount of orange juice needed to add to 18 L of pineapple juice. By cross-multiplying, we can solve for j as follows:

2/8 = j/18

218 = 8j

36 = 8*j

j = 36/8

j = 4.5

Therefore, you would need to add 4.5 L of orange juice to 18 L of pineapple juice to create the fruit juice recipe that calls for a ratio of 2 parts orange juice to 8 parts pineapple juice.

Answer:

Step-by-step explanation
2 over 8 equals j over 18

This proportion represents the ratio of orange juice to pineapple juice in the recipe. By setting up the proportion, we can solve for the value of 'j,' which represents the amount of orange juice needed.

So, the correct proportion is:

Answer: Total area: 258 sq ft

Step-by-step explanation:

What I did was cut the shape in two parts. I then multiplied 12 by 8 to get  96, then 18 by 9 to get 162. I added both answers & got 258.

Answer:

60n

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

Learn more about functions at: https://brainly.com/question/25638609

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

To know more about functions and points:

https://brainly.com/question/30721594

Answer:

13j

Step-by-step explanation:

3+10=13

Answer: 13j

Step-by-step explanation: 3j+10j=13j

Answer:

X can be 4 y can be 3 and z can be 1

Step-by-step explanation:

x³+y³+z³=k

-5³=-125

-4³=-64

-3³=-27

-2³=-8

-1³=-1

1³=1

2³=8

3³=27

4³=64

5³=125

6³=216

x can be a 4

y can be a 3

z can be a 1

the answer would be 92

Answer: 92 if correct brainliest pls

Step-by-step explanation:

Answer:

0.18 cm²

Step-by-step explanation:

Given that a rectangle and a triangle have same perimeter . The sides of them are ,

\(\begin{cases} Square = 4cm , 4cm , 3cm \ and \ 3cm .\\ Triangle = 4cm , 5.8cm \ and \ 4.2cm \end{cases}\)

We know that area of rectangle is product of length and breadth.

\(\implies Area = length \times breadth \\\\\implies Area = 4cm \times 3cm\\\\\implies \red{ Area = 12cm^2}\)

Also we know that the area of triange is half the product of base and height . So that ,

\(\implies Area = \dfrac{1}{2}\times 5.8cm \times 4.2 cm \\\\\implies \red{ Area = 12.18 cm^2 }\)

Therefore the difference between them is ,

\(\implies D = A_1 - A_1 \\\\\implies D = 12.18cm^2-12cm^2 \\\\\implies \red{D = 0.18 cm^2}\)

Step-by-step explanation:

<YOZ = 60°

When two lines intersect each other, then four angles are formed. The angles that are opposite to each other at the intersection point are known as vertically opposite angles. VERTICALLY OPPOSITE ANGLES ARE ALWAYS EQUAL.

If < VOX = 90⁰, then <VOW = 60⁰.

<VOW and <YOZ are vertically opposite angles.

Answer:

Step-by-step explanation:

Givens

<VOX = 90 degrees

<WOX = 30 degrees

<YOZ  = ? degrees.

Solution

<VOW is the complement of <WOX

<VOW = <VOX - <WOX                         Substitute values

<VOW = 90 - 30                                     Subtract

<VOW = 60                              

<YOZ = <VOW                                        Property of vertically opposite <s      

<YOZ = 60                                              Substitute value

Answer

<YOZ = 60 degrees

Answer:

no bro, sorry. even though I needed to I don't have it

Answer:

163/5

Step-by-step explanation:

If your trying to find the improper fraction you have to multiply the bottom which is 5 and the whole number which is 32

32*5=160

then you add the number on top which is 3

163/5

Answer:

\(\frac{64}{5}\)

Step-by-step explanation:

Convert 31 as a fraction... \((\frac{32}{1} ) *\frac{3}{5}\)

Multiply across... \(\frac{64}{5}\)

The answer is now in simplest form.

Answer:

The store will sell the guitar for $58.50

Step-by-step explanation:

$45 * 1.3 = $58.50

Since the price they bought it for is $45 and the markup percent is 30%, we multiply $45 by 1.3, which will give us $58.50.

Step-by-step explanation: The committee that wrote the article created a central government that could organize the war. However, the committee did not trust an overly powerful government, so they did not give the power to enforce

Answer: These pairs are correct, 6/5 and 120%, 1/8 and 12.5%

Explanation: I used a calculator.

Answer:

6/5 and 120%

Step-by-step explanation:

find the percentage of each part

i, 40/1000*100%

4%

ii, 6/5*100%

40%

iii,50/33*100%

151.5%

iv, 1/3*100%

33.3%

hence, option ii is equivalent to it's percentage

Answer:

The answer is 51

Step-by-step explanation:

f(x) = 5x + 4

g(x) = −2x + 1

To find f(6)+g(-8) first find f(6) and g(-8) and add them

For f(6) we have

f(6) = 5(6) + 4

= 30 + 4

= 34

For g(-8)

g(-8) = - 2(-8) + 1

= 16 + 1

= 17

So we have

f(6)+g(-8) is

34 + 17

= 51

Hope this helps you

Answer:

Step-by-step explanation:

3.1313109

Answer: the answer should equal 3.131

Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.

Please got brainliest

Answer:

The total area of the back classroom wall is (20ft x 12ft) = 240ft²

The paint coverage is usually rated by area coverage. For example, one gallon of paint is expected to cover 400 ft².

Assuming a gallon of paint will cover 400ft², she will need (240ft²/400ft²) = 0.6 gallon of paint to cover the entire wall.

Mrs. Jones will need 0.6 gallon of paint to paint the back classroom wall.

Answer:

\(\sf a. \quad \dfrac{21}{10+x}+\dfrac{21}{10-x}=5\)

Step-by-step explanation:

Formula for calculating speed:

\(\boxed{\sf Speed=\dfrac{Distance}{Time}}\)

Therefore:

\(\boxed{\sf Time=\dfrac{Distance}{Speed}}\)

Given values:

If the boat is traveling downstream, the current (x mph) will be pushing the boat faster, and so the boat's speed will increase by x mph.

Therefore, the expression for the time it takes for the boat to travel downstream is:

\(\sf Time\:(downstream)=\dfrac{21}{10+x}\)

If the boat is traveling upstream, the current (x mph) will be pushing against the boat and so the boat's speed will decrease by x mph.

Therefore, the expression for the time it takes for the boat to travel upstream is:

\(\sf Time\:(upstream)=\dfrac{21}{10-x}\)

Therefore, if the total time it takes to travel downstream and upstream is 5 hours:

\(\implies \sf \dfrac{21}{10+x}+\dfrac{21}{10-x}=5\)

To solve for x:

\(\implies \sf \dfrac{21}{10+x}+\dfrac{21}{10-x}=5\)

\(\implies \sf \dfrac{21(10-x)}{(10+x)(10-x)}+\dfrac{21(10+x)}{(10-x)(10+x)}=5\)

\(\implies \sf \dfrac{21(10-x)+21(10+x)}{(10+x)(10-x)}=5\)

\(\implies \sf21(10-x)+21(10+x)=5(10+x)(10-x)\)

\(\implies \sf 210-21x+210+21x=5(100-10x+10x-x^2)\)

\(\implies \sf 420=500-5x^2\)

\(\implies \sf 5x^2=80\)

\(\implies \sf x^2=16\)

\(\implies \sf x=\pm4\)

Therefore, the rate of the current is 4 mph.

Answer:

(5 x 10^7)(6 x 10^4)= 3 x 10^12 is the answer in scientific notation

Answer:

As a professional failure, I shall try this.

3.5 * 10^3

Answer:

7^5

Step-by-step explanation:

The base number (7) is the same, so we can just add the exponents together.

Hope that helped!

To write 7^3 x 7^2 using a singular exponent, you can add the exponents together since the bases (7) are the same. The result is:

7^3 x 7^2 = 7^(3 + 2) = 7^5\(\huge{\mathcal{\colorbox{black}{\textcolor{lime}{\textsf{I hope this helps !}}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\texttt{SUMIT ROY (:}}}}\)

So, The dots represent the children.

And the numbers represent the length in.

I wouldnt say its D.

I would say its C. Group B, because 4 kids have forearm length longer then 13 in.

Answer:

So, The dots represent the children.

And the numbers represent the length in.

I wouldnt say its D.

I would say its C. Group B, because 4 kids have forearm length longer then 13 in.

Step-by-step explanation:

bc

Answer:

J' (-2, 2.5), K' (1, 2.5) L' (1, -2.75)

Step-by-step explanation:

With a scale factor of 1/2=.5 you can simply multiply all coordinates by .5 (or divide by 2)

J (-4,5) x 1/2= (-2, 2.5)

K (2,5) x . 5 = (1, 2.5)

L (2, -5.5) /2= (1, 2.75)

Answer:

5Hope it helps!

Step-by-step explanation:

153805 is divisible by 5

Answer:

Step-by-step explanation:

scale factor:

1/2

the coordinates of the new vertices are

A (-4/2, -8/2)

A:(-2, -4)

B (-2/2, 34/2)

B: (-1, 17)

C (6/2, 12/2)

C:(3, 6)

D (10/2, -30/2)

D:(5, -15)

I guess the dilation is 2 times bigger?

Answer:

1 cup

Step-by-step explanation:

1/4= 6/24

1/3= 8/24                    --------

1/6= 4/24                    --------             24/24 = 1

1/8= 3/24                    

1/8= 3/24