How do i solve this (give steps please)

Answers

Answer 1

Answer:

42x - 21 - 9x^2

Step-by-step explanation:

basically do the area of the whole rectangle then di the area of one of the empty spaces. then subtract the value of the empty space three times because there are three empty spaces.

Answer 2

Step-by-step explanation:

Let

[tex]A_1[/tex] = area of the small rectangle

[tex]\:\:\:\:\:= x(3x + 1) = 3x^2 + x[/tex]

[tex]A2[/tex] = area of the large rectangle

[tex]\:\:\:\:\:= (4x + 3)(10x - 7)[/tex]

[tex]\:\:\:\:\:= 40x^2 - 28x + 30x - 21[/tex]

[tex]\:\:\:\:\:= 40x^2 + 2x - 21[/tex]

Since there are 3 small rectangles, the area A of the shaded area is

[tex]A = A_2 - 3A_1[/tex]

[tex]\:\:\:\:= (40x^2 + 2x - 21) - 3(3x^2 + x)[/tex]

[tex]\:\:\:\:= 40x^2 + 2x - 21 - 9x^2 - 3x[/tex]

[tex]\:\:\:\:= 31x^2 - x - 21[/tex]

Related Questions

Ryan has 21 pencils. He wants to put the same number of pencils in each of 3 pencil holders. How many pencils will he put in each pencil holder

Answers

21 divided by 3 equals 7

7 pencils in each holder

Ryan will put 7 pencils in each pencil holder.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. If an event can occur in "m" in different ways and if following it, a second event can occur in "n" ways; then the two events in succession can occur in m × n ways.

Given that Ryan has 21 pencils, wants to put the same number of pencils in each of the 3 pencil holders.

Pencil = 21

Pencil holder = 3

Therefore, we will do as 21 divided by 3

21/3 = 7

Hence, there are 7 pencils in each pencil holder.

To learn more about the unitary method, please visit the link below;

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does anybody know this

Answers

Step-by-step explanation:

The equation used to determine the amount of radioactive material left is

[tex]A = A_0(2)^{-t/HL}[/tex]

We are have the following given quantities:

t = 30 seconds

[tex]A_0[/tex] = 50 grams

HL = 6 seconds

Plugging these into our equation we get

[tex]A = (50\:\text{grams})(2)^{-(30s/6s)}[/tex]

[tex]\:\:\:\:= (50\:\text{grams})(0.03125)[/tex]

[tex]\:\:\:\:= 1.56\:\text{grams}[/tex]

round 56.3244 to the hundredths place

Answers

Answer:

56.32

Step-by-step explanation:

The hundredths place is the second place after the decimal point.

Side note:

All you need to do is if the hundredths is less than 5, you round down. If it's greater than or equal than 5, then you round up.

Given the speeds of each runner below, determine who runs the fastest.
Stephanie runs 8 feet per second.
Zach runs 485 feet in 47 seconds.
Liz runs 1 mile in 540 seconds.
Adam runs 676 feet in 1 minute.
Stephanie
Zach
Submit Answer
Liz
Adam

Answers

Adam divide the time by the distance and the biggest number is the fastest

How many terms are in the following expression?
-4a +8C -4b +3

Answers

Answer: 4 terms

Step-by-step explanation:

-4a , 8c, -4b, and 3

Given these angles: m∠3 = 82°, m∠4 = 98°.
These angles are
a. complementary
b. supplementary
c. neither complementary nor supplementary

Answers

These angles are supplementary.
Complementary angles add up to 90 degrees. Supplementary angles add up to 180 degrees. 82 degrees + 98 degrees = 180 degrees.

The first aircraft has 111 more seats than the second aircraft. The third aircraft has 27 fewer seats than the second aircraft. If their total number of seats is 408, find
the number of seats for each aircraft.
The first aircraft has
seats. (Simplify your answer)

(Answer quickly)

Answers

This is the awnser I hope it helped

Monico invests $9,000 at 2% simple interest for 1 year. How much is in the account at the end of the 1 year period ?

Answers

Answer:

9180

Step-by-step explanation:

9000*1.02

Answer:

There will be $8820 in Monico's account at the end of the one year period.

Step-by-step explanation:

9000*0.02 = 180

9000 - 180 = 8820

Have a nice day! :-)

Write the standard form of the equation of the line through the pair of points (6,3) and (-7,7)

Answers

Step-by-step explanation:

steps are in the picture above.

Note:if you need to ask any question please let me know.

After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?
C: 1/2(x+5)=36

Answers

Answer:

im not sure but ik u do 36x2=72-5=67 so thats how many rocks he had then he found 5 and gave away half leaving 36 bc 72/2=3 how you would write that i am not to sure but hope i helped in getting you closer to the answer.

Step-by-step explanation:

Answer:

C. 4 pounds

Step-by-step explanation:

The Metropolitan Company sells its latest product at a unit price of $7. Variable costs are estimated to be 20% of the total revenue, while fixed costs amount to $6,300 per month. How many units
should the company sell per month to break even, assuming that it can sell up to 5,000 units per month at the planned price?

Answers

9514 1404 393

Answer:

1125

Step-by-step explanation:

The "contribution margin" of each product is 80% of its unit price, or $5.60. In order to break even, the total contribution margin must match the fixed costs.

$5.60n = $6300

n = 6300/5.6 = 1125

The company should sell 1125 units per month to break even.

how do you write 9/11 as a decimal

Answers

Answer:

0.81

Step-by-step explanation:

Answer:

0.81818181818181....

Step-by-step explanation:

It is irrational

Without using a calculator, determine where the following numbers go on the number line.
Be sure to label your number line.
V5,
ထlယ
1.3, 4%, i, 1.70, V8, 1.07, 32, -38, T
0

Please answer the bottom question also

Answers

Answer:

Without using a calculator, determine where the following numbers go on the number line.

Be sure to label your number line.

V5,

ထlယ

1.3, 4%, i, 1.70, V8, 1.07, 32, -38, T

Please answer the bottom question also

What factors of -52 have the sum of -9

Answers

Answer:

Step-by-step explanation:

13 and 4 in some combination.

The larger number must be minus.

The answer is - 13 + 4 which leaves you with - 9

The scrapbook shack ordered 300 stickers. When the shop received the order, 60 stickers were missing

Answers

Answer: 240

Step-by-step explanation: there was 300 and 60 went missing that means there was 240 left

Answer:

There are 240 stickers

Step-by-step explanation:

At first there were 240 stickers, but then 60 went mssing, so we cant tell it is a subtracton problem. You should have set your problem like this:

300-60=?

After you should have gotten the answer 240.

In concluson, there are now 240 stickers.

I need help getting the equation

Answers

Answer:

2.5v + 85

v = 12

Step-by-step explanation:

115 - 85 = 30

30 / 2.5 = 12 (He needs to go 12 times)

c. When measuring the dimensions of a room a carpenter uses a tape measure that only displays a number of feet, L, on the metal tape.
(The carpenter's tape measure does not display inches).
i. Write an expression to determine the length of the room in yards.
Preview
ii. Write an expression to determine the length of the room in units of 3 feet (yards).
Preview
iii. Write an expression to determine how many times as long the room is than 3 feet.
Preview

Answers

The dimension of a room is the length and width of the room.

The length of the room in yard is L/3An expression for the length of the room in unit of 3ft is 3LThe room is longer than 3 feet, in L times

From the question, we have:

[tex]L \to[/tex] Number of feet

(a) An expression for the length of the room in yards

In standard unit of conversion

[tex]1ft = \frac{1}{3} yd[/tex]

Multiply both sides by L:

[tex]L \times 1ft = L \times \frac{1}{3} yd[/tex]

[tex]L\ ft = \frac{L}{3} yd[/tex]

Hence, the length of the room in yard is L/3

(b) An expression for the length of the room in unit of 3ft

In (a), we have:

[tex]L \to[/tex] Number of feet

To calculate the length in units of 3 feet, we simply multiply L by 3

[tex]Unit = 3 \times L[/tex]

[tex]Unit = 3L[/tex]

An expression for the length of the room in unit of 3ft is 3L

In (b), we have:

[tex]Unit = 3L[/tex]

The number of times (n) the room is longer than 3 ft is:

[tex]n = Unit \div 3[/tex]

[tex]n = 3L \div 3[/tex]

[tex]n = L[/tex]

The room is longer than 3 feet, in L times

Answers

Deductive reasoning is a basic form of valid reasoning. Deductive reasoning, or deduction, starts out with a general statement, or hypothesis, and examines the possibilities to reach a specific, logical conclusion, according to California State University.

HOPE IT HELPS ✨

Elliot invests 15000 in an investment certificate that pays 2% compounded annually. How much interest will he have earned in 2 years?

Answers

Answer:First year:

$15300

Second year:

$15606

Step-by-step explanation:First year:

300 is 2% of 15000, so we add that. The result we have is $15300.

Second year:

306 is 2% of 15300, so we add that to the original value. The result is $15606.

Side note:

All you need to know is the Interest Rate Formula: [tex]p(1+r/100)^n[/tex]. By the way, that's the simple compound interest rate formula. The simple interest rate formula is [tex]p+(r/100)^n[/tex].

PLEASE HELP!!! Find the distance between the following two points: (3,7) and (5,0). Round to the nearest TENTH.

Answers

Step-by-step explanation:

7.3 when rounded to the nearest tenth

HELP!!! LOTS OF POINTS AND I GIVE BRIANLEST NO FAKE ANSWERS

Solve 4x − 2(x + 1) = 3x + 10

a)x = −12

b)x = 12

c)x = −8

d)x = 8

Answers

Answer:

= −12

Step-by-step explanation:

Answer:a)-12

Step-by-step explanation:

4x-2(x+1)=3x+10

4x-2x-2=3x+10

2x-2=3x+10

Collect like terms

-2-10=3x-2x

-12=x(a)

Find the value of ab when a =
9/11
and b =
7/10
The answer is
(Simplify your answer.)

Answers

a= 9/11 and b=7/10

now,

ab = (9/11)×(7/10)

=63/110.......

the value of ab is 63/110 when a = 9/11 and b = 7/10

What is Simplification?

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, the values of a and b are 9/11 and 7/10 respectively

thus,

ab = 9/11 * 7/10

simplifying it

ab = 63/110

Therefore, the value of ab is 63/110 when a = 9/11 and b = 7/10

Learn more about Simplification here:

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I sold my calculator at 8% loss.If i had sold it for Rs.12 more i would have gained 8% find the cost price.

Answers

Answer:

May I ask what is Rs???????

In one state lottery game, you must select four digits. hOW MANY NUMBERS MAY BE CHOSEN

Answers

I think that 4 digits are supposed to be selected!

The quantity of a number plus 4, divided by 9

Answers

This answer should be (X+4)/9

Use the properties of exponents to simplify the expression (16a 12).
O A) 28
B)
640 18
C)
1
24a13
OD) 64218

Answers

Answer:

Step-by-step explanation:

The solution is in the attached file

The area of a square is 36. A rectangle whose length is 1 more than twice
its width has the same area. What are the dimensions of the rectangle?

Answers

L 70, h89, w56!

hope this helps <3

Find the slope of the line.
x= 4
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The slope is m = (Type an integer or a simplified fraction.)
OB. The slope is undefined.

(Answer quickly)

Answers

The slope is undefined

Answer:

Step-by-step explanation:

x = 4 is a vertical line parallel to the y- axis with an undefined slope

Sharon ran 140 meters directly toward school at a constant velocity. She ran that distance in 25 seconds. What was her velocity?

Answers

Answer:

5.6 meters/seconds

Step-by-step explanation:

140 : 25 = 5.6 meters/seconds

#AyoBelajar

describe impulse buying

Answers

Answer:

impulse bullying.

Step-by-step explanation:

Impulse bullying is like he is less likely to be a gang member. His bullying is more impulsive and may appear to be more random. Even when authorities are likely to impose penalties, he finds it impossible to prevent himself from engaging in the activity. He might be suffering from ADHD. Medication, behavioral therapy, and social skills training may help him. He will also most likely be bullied.

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