Mathematics College

4. The side lengths of a square are each 5p. By adding 1 to the length and subtracting 1 from the width, a rectangle is made. What is the area of the rectangle?
O4p2 - 2
25p2 + 1
25p - 10p - 1
25p2 - 1

4. The Side Lengths Of A Square Are Each 5p. By Adding 1 To The Length And Subtracting 1 From The Width,

Answers

Answer 1

Answer:

D. 25p² - 1

Step-by-step explanation:

Each side length of a square = 5p

Length of rectangle = 5p + 1

Width of the rectangle = 5p - 1

Area of rectangle = Length × Width

Area of rectangle = (5p + 1)(5p - 1)

= 5p(5p - 1) +1(5p - 1) (distributive property)

= 25p² - 5p + 5p - 1

Area = 25p² - 1

Related Questions

Please help me with this 30 points

Answers

Answer:

D

Step-by-step explanation:

For every 1 unit, it goes vertically 1/2

Which of the following expressions is equivalent to (3x - 2)(4x + 5) ?
A. 4x2 + 7x − 10
B. 4x2 + 10x − 7
C. 12x2 + 7x − 10
D. 12x2 + 23x − 10

Answers

I hope this helps the answer is


C. 12x2+7x-10

Solve the following inequality for w 8w+8>-10w-5

Answers

Answer:

Step-by-step explanation:

8w+8 > -10w-5

18w + 8 > -5

18w > -13

w > -13/18

The other letter to the left is X btw PLS HELP

Answers

Answer:

probably D

Step-by-step explanation:

answer: D

34+26=60
180-60=120

PLEASE HELP! GIVING PONTS!

Answers

the least common denominator is 4 I believe
I think the answer is 4

PLEASE HELP WILL GIVE BRAINLIEST

Segment AB has been dilated about point Q. What is the scale factor?​

Answers

The scale factor would be 1.25 because each segment is the same in this triangle

Cary puts $500 into a savings account that earns 5.5% annually. The amount in her account can be modeled by C(t) = 500(1.055)t, where t is the time in years.

Write the expression best approximates the amount of money in her account using a weekly growth rate. (DO NOT ROUND ANY NUMBERS)

***Just need some clarification, it says there is annual growth rate but the question is asking that I change the function into weekly growth rate so...how do I do that?

Answers

Answer:

Answer: a) A(t)= $500(1.055)^t

b) Amount after 9 years A(9) = $809.55

Amount after 17 years A(17) = $1242.40

sorry if im wrong

Step-by-step explanation:

How many grams are in 1 pound (on Earth)? Round to the nearest tenth.

Answers

Answer:

453.6, or 453.59237

Step-by-step explanation:

Answer:

28.35 grams is equivilent to 1/16 lb., which is 1 oz. So, 28.35 x 16= 453.6

Step-by-step explanation:

First you must convert ounces to grams

Then, you must convert the ounces to pounds

You do this by knowing that 1 oz is 1/16 of a lb

Knowing that 28.35 grams are in 1 oz

You then multiply the 28.35 grams by the 16 oz

Which gives you 453.6 0r 453.60 grams in 1 lb

Gabriella took a Spanish test with 50 questions and answered 44 of them correctly. What percent of the questions did grabrielle answer correctly

Answers

Divide 44 by 50

.88

Step-by-step explanation:

88%

Answer:

88%

Step-by-step explanation:

the number of correct answers (44) divided by the total questions (50) = 88%

A store sells graph paper in packages of 100 sheets. During a sale, they offer a package that has 25% more sheets for no additional cost. How many sheets are in the sale package?

Answers

Answer: 125

Step-by-step explanation:

25% of 100 = 25

25 + 100

125

Identify the solution to the system of equations
4x-y=7
-12x+3y=-21

Answers

Answer:

Step-by-step explanation:

The equations are not independent. They represent the same graph.

There are an infinite number of solutions.

Bob was thinking of two numbers. He said the larger of his numbers was 8 more than the smaller number. He chose to represent the smaller number with an x. Which of the following is an expression that can be used to represent the larger number in terms of x?

Answers

Answer:

x+8

Step-by-step explanation:

Luis can swim 1 ½ meters per second. How many meters can he swim in a minute? Show your work and state the answer.

Answers

Luis can swim 90 meters per minute
1 1/2 x 60 = 90

In ΔRST, r = 52 cm, s = 55 cm and ∠T=48°. Find the length of t, to the nearest centimeter.

Answers

Answer:

44

Step-by-step explanation:

delta math

The length of t is approximately 43.60 cm, to the nearest centimeter.

What are the properties of Triangle?

The properties of the triangle are:

1. The sum of all the angles of a triangle (of all types) is equal to 180°.

2. The sum of the length of the two sides of a triangle is greater than the length of the third side.

3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.

To find the length of side t in triangle RST, we can use the law of cosines, which relates the lengths of the sides and the cosine of one of the angles in a triangle:

[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]

where c is the length of the side opposite the angle C, and a and b are the lengths of the other two sides.

In this case, we know that:

r = RS = 52 cm

s = ST = 55 cm

∠T = 48°

So, we want to find the length of t, which is the side opposite the angle T.

Let's call the length of t "c". Then, applying the law of cosines, we have:

[tex]c^2 = r^2 + s^2 - 2rs cos(T)\\\\c^2 = (52 cm)^2 + (55 cm)^2 - 2(52 cm)(55 cm) cos(48^0)\\\\c^2 = 1901.57[/tex]

Taking the square root of both sides, we get:

c= 43.60 cm

Therefore, the length of t is approximately 43.60 cm, to the nearest centimeter.

Learn more about triangles here:

https://brainly.com/question/2773823

#SPJ2


What is the slope of the line

Answers

[tex]\frac{1}{2}[/tex] Or 2.

(Pretty sure it's the first option.)

Brainiest if correct? Ty!

how do I find 16% of 575

Answers

Answer:

92

Step-by-step explanation:

The easiest way for me to find any percentage of a number is to find what 1% is and then multiply by the % amount. So to answer this question I would do 575/100 which is 5.75 and this is 1% then multiply 5.75 by 16 to get 92 so a 16% of 575 is 92. (Double check to make sure I'm correct)

-2x-4=16
Show each step of your work.

Answers

Answer:

x= -10

Step-by-step explanation:

PEMDAS

First you multiply- -2x?

You don't know what x is so you subtract 4 for 16

16-4=12

2-12= -10

Sierra has a recipe she wants to make. She has to use eggs and sticks of butter. The ratio for these ingredients is 12 to 4 to make 4 batches. What will the equivalent ratio be if she wants to make 2 batches?

Answers

2 batches is half as much as 4 batches...so cut all the ingredients in half. You would need 6 eggs and 2 sticks of butter (a 6 to 2 ratio)

WILL MARK BRAINLYIST

Answers

Answer:

a= 158

b=22

Step-by-step explanation:

First we have to find b in order to find a.

To find b we need to add up the two angles we know the value of and subtract it from 180.

90+68= 158

180-158=22

We know b is 22 because the sum of all angles in a triangle is always 180.

Now that we have b we can find a.

we know that a+b=180 so all we have to do is subtract 22 from 180 to get 158.

Answer:

b is 22° and a is 158°

Step-by-step explanation:

b can be calculated by angle sum property and a can be calculated using exterior angle sun property

A $65 drone is on sale for $51.35. What is the percent of discount?

Answers

Answer:

20% off

Step-by-step explanation:

Answer:

21%

Step-by-step explanation:

To calculate the percentage discount between two prices, follow these steps:

Subtract the post-discount price from the pre-discount price.

Divide this new number by the pre-discount price.

Multiply the resultant number by 100.

$51.35-65=13.65

13.65/65= -0.21

-0.21*100=-21

Four times the difference of a number cubed and six

Answers

Step-by-step explanation:

4(n^3 - 6)

hope this helps

Select the correct answer from each drop-down menu.
Describe the relationship between the area of a circle and its circumference.
The -blank-
is -blank-
times the -blank-
times the circunference.

Answers

Answer:

hey im not completely sure but i think its the RADIUS is 1/3 times the AREA time the circumference

Step-by-step explanation:

Question 5
Calculate the perimeter of the sector
4cm
285

Answers

Circumference of circle of radius 4 cm = 8π cm
length of 285° arc = (285/360)×(circumference) = (19/24) × 8π = (19/3)π
Perimeter of sector = arc length + 2 radii = (19/3)π + 8 ≈ 27.9 cm

The arc length of the sector will be 19.89 centimeters.

What is the arc length of the sector?

Let r is the radius of the sector and θ be the angle subtended by the sector at the center. Then the arc length of the sector of the circle will be

Arc = (θ/2π) 2πr

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The radius of the sector is 4 cm. And the central angle is 285°.

Then the perimeter of the sector is given as,

Arc = (285° / 360°) x 2 x 3.14 x 4

Arc = 19.89 cm

The arc length of the sector will be 19.89 centimeters.

More about the arc length of the sector link is given below.

https://brainly.com/question/15955580

#SPJ2

Sharla spent twice as long riding her bike as she spent doing chores. Her chores included cleaning her room and walking her dog for 20 minutes. Sharla rode her bike for 60 minutes. How much time did she spend cleaning her room?

Answers

Answer:

Ten minutes.

Hope that helps!

What is Steve's mean speed if he bikes 55.5 miles in 3.7 hours? Round your answer to two decimal places, if necessary.

Answers

Answer:

15m/s

Step-by-step explanation:

Given data

DIstance= 55.5 miles

time= 3.7 hours

Required

the speed

We know that

Speed= distance/time

Substitute

Speed= 55.5/3.7

Speed= 15 m/s

Hence the speed is 15m/s

What integer does the arrow indicate?
+
-8
+ +
-6 -5
+
3
+
4
+
7
- 10 -9
-7
-4
-3
-2
-1
0
1
2
5
6
8
9
10
0-14
0-3
06

Answers

Answer:

-9

Step-by-step explanation:

Given

See attachment for number line

Required

What does the arrow integer

Represent the value of the arrow with x.

The arrow is on number -9.

This number is what the arrow represents.

Hence:

[tex]x = -9[/tex]

PLEASE HELP ILL GIVE BRAINLIEST AND SO MUCH MORE!!!!
Find the measurement of WOV. Which angle relashionship doyou use?

Answers

Answer:

60 degrees

Step-by-step explanation:

90 digress minus 30 degrees will be 60 degrees

PLEASE HELP ASAP 30P!
Which of the following is an example of a difference of two squares?
O 16m3 - 1
O 2562 +4
O 10c2 – 169
O 49p2 - 9

Answers

Answer: D

Step-by-step explanation:

Grace and her friend are doing some back to school shopping , Grace buys 4 binders and notebooks for 26.50 totalHer friend spends a total of $21.00 on 3 binders and 6 notebooks

Answers

Answer:

What is the question asking to answer?

Step-by-step explanation:

Answer:

$19:50

Step-by-step explanation:

Write a system of equations to represent the problem. Let x represent the cost of a binder, and let y represent the cost of a notebook.

Grace buys 4 binders and 7 notebooks for $26.50 total, so the equation 4x+7y=26.50 represents how much Grace spends.

Grace's friend buys 3 binders and 6 notebooks for $21.00 total, so the equation 3x+6y=21 represents how much her friend spends.

You can use this system of equations to find how much money Grace and her friend spend on notebooks:

4x+7y=26.50

3x+6y=21

Next, find how much Grace and her friend spent on notebooks. Start by finding the cost of one notebook. Use elimination to solve for y. .

3(4x+7y)=3(26.50)  

–

12x+21y = 79.50

–

4(3x+6y)=

–

4(21)  

–

12x–24y =  

–

84

–

3y =  

–

4.50

y = 1.50

Each notebook costs $1.50. Grace and her friend buy a total of 13 notebooks, so multiply to find how much money they spend on notebooks.

13$1.50=$19.50

Grace and her friend spend $19.50 total on notebooks.

Angle 1 is 135
Angle 2 is ?
Angle 3 is 135


Angle 3 is an exterior angle. What is the missing angle

A. 45

B. 80

C. 90

D. 180

Answers

Answer:

80

Step-by-step explanation:

di ko po alam kung tama ba

(sana po makatulong po)

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