**Answer:**

The first term will be 38.375

**Step-by-step explanation:**

aₙ = a₁ + (n - 1) * d

a₂₀ = -40

a₂₈ = -73

**-40 = a₁ + 19d**

**-73 = a₁ + 27d**

*When we have two similar equations with two unknowns, we can subtract them to get an answer.*

** -40 = a₁ + 19d --> -40 = a₁ + 19d**

**-(-73 = a₁ + 27d) --> 73 = -a₁ - 27d**

**-------------------------------------------------**

**33 = -8d**

*Solve for ***d*** by dividing by ***-8**

**d = -4.125**

*Now plug ***d*** into one of the original equations to solve for ***a₁**

**-40 = a₁ + 19(-4.125)**

**-40 = a₁ - 78.375**

**a₁ = 38.375**

ou have three jars of gumballs. the first jar has 100 white gumballs and 25 green, the second jar has 50 white and 150 blue, and the third jar contains 500 white and 10 red. if you randomly draw one gumball from each jar, what is the probability for at least one white gumball?

The **probability** for at **least one** white gumball is 0.196

Consider the following:

First jar:100 whites, 25 green

Total=100+25

=125 gumball

P(White)=100/125=0.8

Second jar:50 whites, 150 blue

Total=50+150

=200 gumballs

P(White)=50/200=0.25

Third jar:500 whites, 10 red

Total=500+10

=510

P(White)=500/500=0.98

Now, probability for at least **one white** is

=P(white in jar 1)*P(white in jar 2)*P(white in jar 3)

=0.8*0.25*0.98

=0.196

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Simplify

8(x + 3)2/2(x + 3)

**Answer:**

**Step-by-step explanation:**

[tex] \sf \cfrac{8(x + 3)^{2} }{2(x + 3)} [/tex]

Cancel out 2(x+3) in both numerator and denominator:

[tex]\sf 4(x + 3)[/tex]

Use the distributive property to multiply 4 by x+3:

[tex]\sf 4x + 12[/tex]

》》》》》》》》》》》》》》

Hope this helps!!

Have a nice day

Answer:

(attached photo)

step - by - step - explanation:

First, I canceled out the 2/2, which was one

Next, I multiplied and since the base was x+3, that leaves the exponent to be 2

After, I expanded the expression

Lastly, removed ()

Hope this helped!

(attached photo)

step - by - step - explanation:

First, I canceled out the 2/2, which was one

Next, I multiplied and since the base was x+3, that leaves the exponent to be 2

After, I expanded the expression

Lastly, removed ()

Hope this helped!

The length of the rectangle is 5 more than twice the width. If the perimeter is 10 times that of the width, what is the width, length, and perimeter of the rectangle?

**Width** of the rectangle is 2.5,** Length** is 10 and **perimeter** is 25

Given

Length of rectangle is **5 greater than double of width**

let us say width = w

According to the question length L = 5 + 2w

Perimeter is **10 times the width**

P= 10w

we know that **perimeter **of a rectangle is** 2(L+W)**

Substituting the values in the **formula** we get

10w = 2(5+2w + w)

10w = 10 + 6w

w= 2.5

From this length L = 5+2(2.5)

L = 10

Perimeter P = 10W

P= 10(2.5)

P= 25

Hence the **length** is 10, **width **is 2.5 and **perimeter** is 25

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standard form. (-3,0) and (0,8)

**Answer:**

8x−3y=−24

**Step-by-step explanation:**

What is the complete factorization of 2 - 2ab + b2?

F. (a - b)(a + b)

G. (a + b)(a + b)

H. (a + b)(-a-b)

J. (a - b)(a - b)

**Answer:**

J

**Step-by-step explanation:**

assuming the 2 is a squared s a*a is a2 2*a*-b is -2ab

and -b* -b is b2

5. The table shows how far a car is from its destination after x hours.

Hours

Miles

1

150

2

100

50

لیا

3

The function f(x) = 210-60x represents a second trip, where f(x) is the number of miles

the car is from its destination after x hours. Which trip takes less time? Explain.

**Answer:**

the trip represented by f(x) takes less time

**Step-by-step explanation:**

Given a **table of time and distance to go**, and a function **f(x) = 210-60x** representing the same for a different trip, you want to know **which trip takes less time**.

The table has values ...

(time in hours, remaining distance in miles) = (1, 150), (2, 100), (3, 50)

This shows you the remaining distance decreases by 50 miles for every hour added to the travel time. That means the remaining 50 miles will be reduced to zero after 4 hours.

The trip represented by the table takes **4 hours**.

The function f(x) = 210-60x will have a value of zero when ...

0 = 210 -60x

0 = 3.5 -x . . . . . . divide by 60

x = 3.5 . . . . . . . . add x

The trip represented by the function f(x) takes **3.5 hours**.

**The second trip takes less time**.

How do solve this in geometry?

**Answer:**

x=0.4

**Step-by-step explanation:**

Put both equations equal to each other:

16x+2=7x+6

**Now, Solve:**

**16x+2=7x+6 Set the equation**

**16x-7x=6-2 Move like terms together**

**9x=4 Subtract like terms**

**x=4/9 Simplify **

**x=0.4 Answer**

An 8-foot roll of butcher paper costs $6.72. What is the price per inch?

**Answer:**

$0.84

**Step-by-step explanation:**

To solve this problem, divide 6.72 by 8.

6.72/8=0.84

It costs $0.84 per inch.

Hope this helps! :D

Given the function:

g(x)=8-2.5x

Find the following values.

a) g(6)

b) g(0)

c) g(-6)

g(x) = 8 - 2.5x

**A)** g(6)

g(6) = 8 -2.5*6

g(6) = 8 - 15

**g(6) = -7**

**B)** g(0)

g(0) = 8 -2.5*0

g(0) = 8 - 0

**g(0) = 8**

**C) **g(-6)

g(-6) = 8 -2.5*-6

g(-6) = 8 + 15

**g(-6) = 23**

1. Henry wants to go on a vacation. He knows it will cost $300 per

day that he's on vacation plus $650 for miscellaneous activities. He

has $2750 dollars in his savings account. How many days can he go

on vacation?

The **number** of **days** Henry can go on vacation is 7 days.

Given that, Henry knows it will cost $300 per day that he's on vacation plus $650 for miscellaneous activities.

What is an equation?In mathematics, an **equation** is a formula that expresses the **equality** of **two expressions**, by connecting them with the equals sign =.

Let the number of days be x.

Henry has $2750 dollars in his savings account.

So equation is 300x+650=2750

The obtained **equation** can be solved as follow

300x=2750-650

⇒ 300x = 2100

⇒ x = 2100/300

⇒ x = 7

Therefore, the **number** of **days** Henry can go on vacation is 7 days.

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A piggy bank contains $2.65 in nickles and dimes. if the number of nickles is 7 less than three times the number of dimes. how many of each are there

In this question, we have been given a piggy bank contains 2.65$ in nickels and dimes. Then There are 29 **nickels **and 12 dimes in the piggy bank.

We need to find the number of **nickels **and dimes if the number of nickels is 7 less than three times the number of dimes.

Let x be the number of **nickels **and y be the number of dimes.

We know that, 1 dollar = 20 nickels

and 1 dollar = 10 dimes

So, we get an equation

0.05x + 0.1y = 2.65 ...........(1)

Also the number of nickels is 7 less than three times the number of dimes.

x = 3y - 7 .................(2)

Substitute above value of x in **equation **(1)

0.05(3y - 7) + (0.1)y = 2.65

0.15y - 0.35 + 0.1y = 2.65

0.25y = 2.65 + 0.35

0.25 y = 3

y = 12

Substitute above value of y in **equation **(2)

x = 3(12) - 7

x = 29

Therefore, there are 29 **nickels **and 12 dimes in the piggy bank.

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ASAP!!

3x + 9x = 6x + 42

Solve the equation for X and include all steps for Branliest.

**Answer:**

x = 7

**Step-by-step explanation:**

3x + 9x = 6x +42

12x = 6x +42

12x - 6x = 6x -6x +42

6x = 42

[tex]\frac{6x}{6} = \frac{42}{6}[/tex]

x = 7

Julia owns a food truck that sells tacos and burritos. She only has enough supplies to make 67 tacos or burritos. She sells each taco for $3.75 and each burrito for $6. Julia must sell no less than $330 worth of tacos and burritos each day. If 42 burritos were sold, determine all possible values for the number of tacos that Julia must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.

The** point** would be the solution (25,40).

Let

The** number of tacos** sold is represented by x.

x denotes the** quantity of burritos** sold.

We are aware of this,

⇒ x + y 62

⇒ 3.75x + 6y = 330

The** triangle **shaded region is the answer

(25,40)

The point is one** possible solution **(25,40).

Remember that if an** ordered pair **is a solution to a** system of inequalities, **then the ordered pair must reside on the solution's region.

That indicates there were** 30 tacos **sold and **30 burritos **sold.

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Write an equation that represents the line.

Use exact numbers.

**y=1.5x+3**

Observing the graph

Let,

A(0,3) -----> this point is the y-intercept of the line

B(2,6)

We know that

The **equation **of the line into slope intercept form is equal to

y = mx + c

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem

b=3

Find the slope of the line m

The formula to calculate the **slope** between two points is equal to

m = y2-y1 / x2-x1

substitute the values

m = 6-3 / 2-0

m = 3/2

m = 1.5

The** equation of the line** is

y= 1.5x+3

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plssssss helpppppppppppppppppp

0=2(1)+b, 0=2+b, b=-2 | y=2x-2, a parallel line has the same slope just a different b value, plug in the coordinate and that’s the answer.

One teacher wants to give each student 4/9 of a slice of pizza. if the teacher has 4 slices of pizza, then how many students will she be able to hand out pizza to?

9 students. 4/9 goes into the number 9 nine times. An easy way to do this equation is on a calculator, you can just type in 9 divided by 4/9

HELP PLS Write the equation of the line in fully simplified slope-intercept form.

The **equation **of the **line **that passes through the x-intercept ( -2,0 ) and y-intercept ( 0,1 ) is y = (1/2)x + 1.

The formula for **equation **of **line **is expressed as;

y = mx + b

Where m is slope and b is y-intercept.

From the graph, the x and y-intercept are; ( -2,0) and (0,1 )

Point 1 ( -2,0 )

x₁ = -2y₁ = 0Point 2( 0,1 )

x₂ = 0y₂ = 1First, we determine the slope of the line.

Slope m = y₂ - y₁ / x₂ - x₁

Slope m = 1 - 0 / 0 - (-2)

Slope m = 1 / 0 +2

Slope m = 1/2

Next, determine the y-intercept b by substituting the slope and a point into the equation of line formula.

y = mx + b

0 = (1/2)(-2) + b

0 = -2/2 + b

0 = -1 + b

b = 1

Now that the values of slope m and y-intercept b is known, plug these into y = mx + b to determine the **equation **of the **line**.

y = mx + b

y = (1/2)x + 1

Therefore, the **equation **of the **line **is y = (1/2)x + 1.

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Rahul solved the equation 2(x – ) – 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction x = 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction . In which step did he use the addition property of equality?

A table titled Rahul's Solution with 2 columns and 5 rows. The first column, Steps, has the entries 1, 2, 3, 4. The second column, Resulting equations, has the entries, 2 x minus StartFraction 1 Over 4 EndFraction minus StartFraction 3 Over 5 EndFraction x equals StartFraction 55 Over 4 EndFraction, StartFraction 7 Over 5 EndFraction x minus StartFraction 1 Over 4 EndFraction equals StartFraction 55 Over 4 EndFraction, StartFraction 7 Over 5 EndFraction x equals StartFraction 56 Over 4 EndFraction, x equals 10.

Step 1

Step 2

Step 3

Step 4

Mark this and return

In step 2 **addition property** is used.

2x + (1 ÷ 4) - (3 ÷ 5)x = 55 ÷ 4

Simplifying x,

2x - (3 ÷ 5)x - (1 ÷ 4) = 55 ÷ 4

(10x - 3) ÷ 5 - (1 ÷ 4) = 55 ÷ 4

(7x ÷ 5) - (1 ÷ 4) = 55 ÷ 4

Add (1 ÷ 4) on both sides,

(7x ÷ 5) - (1 ÷ 4) + (1 ÷ 4) = 55 ÷ 4 + (1 ÷ 4)

(7x ÷ 5) = (55 + 1) ÷ 4

(7x ÷ 5) = 56 ÷ 4

Multiplying (5 ÷ 7) on both sides,

(7x ÷ 5) × (5 ÷ 7) = (56 ÷ 4) × (5 ÷ 7)

x = 10

In step 2 - Add (1 ÷ 4) on both sides, the **addition property** is being used.

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**Answer:**

its c step three

**Step-by-step explanation:**

Pls help ASAP

The question is in the picture

**Answer:**

1. x = 0 , x = 3

2. x = -2 , x = 2

3. (x - 1)²

Use I = PTR to solve

(time is in years)

I=$252

R=7% find T.

P=$900

**The time period **in years T = 4 years

**The simple interest** amount = $252

The rate of interest per year as percentage = 7%

**The principal amount** = $900

The simple interest I = PTR

Where I is the interest amount

P is the principal Amount

T is the time period involved in years

R is the **rate of interest** per year as a percent

Substitute the values in the equation

252 = 900 × T × (7 / 100)

252 = 900 × T × 0.07

252 = 63 × T

Move the 63 to other side

T = 252 / 63

T = 4 years

Hence, the time period** **in years T = 4 years

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Which postulate could we use to prove that the angles

**Answer:**

you can use the angle addition postulate I think that's what it's called

GEOMETRY PLEASE HELP ASAP

The **function** which will represent the given **Translation** will be T(x, y) = (x + 3, y - 2).

**Translation** may be defined as the shifting of the curve on a graph or shifting of the **plotted points** on a graph. The translation can be horizontal or vertical. In **horizontal** direction it can be shifted either left or right and in **vertical** direction it can be shifted either up or down. Horizontal translation always occurs on the **x axis** and vertical translation always occurs on the **y axis**. A function may be defined as an expression in which for input variable x there is output variable y. We need to translate a function T(x, y) 3 units** right** so the new coordinate will be T(x + 3, y). Now, translation occurs 2 units **down**. so, new coordinates will be T(x + 3, y -2) which is the** required function**.

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how do i simplify (x+9)(x-9)

everything u need is in the picture

will give 30 points if its right need asap please

b, because it has an equal sign

**Answer:**

2y + 1 maybe??????

**Step-by-step explanation:**

hope its correct if not please tell me

a) Find the value of 8*1/3

b) Find the value of 8*2/3

c) Find the value of 164*3/4

**1. 8/32. 16/33. 123**

*some words for 20 symbols*

Use the equation below to find P, if a = 5, b= 10, and c = 12

P = a + b + c

**Answer: The answer is 27**

**Step-by-step explanation:**

if a=5 and b=10 and c=12 then just put the numbers in place of the letters so that's going to be :**P=5+10+12P=15+12**

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Sanjay bought T-shirts for his friends on the debate team.

The cost of the T-shirts (in dollars) is given by the equation c = 9.5t, where c is the total cost of the T-shirts and t is the number of T-shirts. If Sanjay bought 14 T-shirts, he paid $

.

The **cost **of t shirt is $ 133.

Cost price is the complete **sum of money** that a manufacturer must spend to create a specific good or render a specific service.

For instance, **Cost price** equals selling price plus revenue ( when selling price and profit is given ) Cost is equal to Selling price plus Loss ( when selling price and loss is given ) Cost price = 100 Selling Price + 100 + Profit (where the **Selling Price** and Profit Percentage are supplied)

Given: c = 9.5 t

Sanjay bought 14 t shirts

And t in the above equation stands for the number of t shirts

thus c = 9.5 × 14 = $ 133

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Ivan has been given a list of 5 bands and asked to place a vote. His vote must have the names of his favorite, second favorite, and third favorite bands from the list. How many different votes are possible?

Using **combinations**, there are a total of **20 distinct voting combinations**.

We now have five bands. We'll refer to them as **A, B, C, D, and E.**

John will choose two bands from the available five if he is required to vote for his favorite and **second-favorite**.

We must pair **bands** and discover every possible **combination** in order to determine the **TOTAL number** of different possibilities.

The results/totals are as follows:

AB, AC, AD, AE

BA, BC, BD, BE

CA, CB, CD, CE

DA, DB, DC, DE

EA, EB, EC, ED

Thus, there are a total of **20 distinct voting combinations**.

Since you already know that each of the** five initial bands** (A, B, C, D, and E) will result in a **multiple** **of four**, you may accomplish it more simply without **listing** by taking the** five bands**.

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The measure of a base angle of an isosceles triangle is 20 degrees. What is the measure of the vertex?

**Answer:**

140 degrees

**Step-by-step explanation:**

isosceles triangle so two angles are equal 20 and 20

ALL of the angles sum to 180 degrees

20+ 20 + vertex = 180

vertex = 140°

HELP ASAP!!

Solve the inequality divided by negative 3. 2 is greater than or equal to 7. 6 for r.

A. ) r ≥ −24. 32

B. )r ≤ −24. 32

C. )r ≥ 2. 375

D. ) r ≤ −2. 375

**Answer:**

B. )r ≤ −24. 32

**Step-by-step explanation:**

6.0 x 10^4 4.0 x 10^8 Scientific Notation Please
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