Interpreting an Expression
Jerome wrote the following scenario to match the algebraic expression s
4
− 16:

“16 fewer than four times the number of songs on my mp3 player”

Does his scenario match the expression? Explain.

Given:

The length of a rectangle is 3 cm less than its width.

The area of the rectangle is 270 cm².

To find:

The dimensions of the rectangle.

Solution:

Let x be the width of the rectangle. Then,

[tex]\text{Length}=x-3[/tex]

Area of a rectangle is:

[tex]\text{Area}=\text{Length}\times \text{width}[/tex]

[tex]270=(x-3)(x)[/tex]

[tex]270=x^2-3x[/tex]

[tex]0=x^2-3x-270[/tex]

Splitting the middle term, we get

[tex]x^2-18x+15x-270=0[/tex]

[tex]x(x-18)+15(x-18)=0[/tex]

[tex](x-18)(x+15)=0[/tex]

[tex]x=18,-15[/tex]

Width of the rectangle cannot be negative. So, the only value of x is 18.

[tex]Width=18[/tex]

[tex]Length=18-3[/tex]

[tex]Length=15[/tex]

Therefore, the length of the rectangle is 15 cm and the width of the rectangle is 18 cm.

IuibAuihiuhiugtdtrdkkknswer:

Step-by-step explanation:

Answer:

it's a square so all 4 sides of perimeter equal 12 while every inside line is 6 sqrt/2

Step-by-step explanation:

there's triangles in the square that are symmetrical so each triangle has the same sides so using pythagorean theorem 6sqrt/2 ^2 + 6sqrt/2 ^2 = sqrt/C and C=12

Answer:

X=6

Step-by-step explanation:

To find the area of a triangle, you have to divide the multiplication by 2. So first, you would find 6 times what is 18. 3. But since thats the FULL answer, you multiply 3 by 2. 3 times 2 is 6! So x=6!

hope this helped you!

Answer:

KM = 30

Sorry if this is not what you where looking for you did not describe exactly what you wanted

Answer:

Hi! Okay so i tried to find all the x and y intercepts that matched with (-4,7) and the closest one is C I'm not 100% sure its correct but its the only one that makes the most sense, its coordonated are (-8,4) i'm so sorry if u get it wrong

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Don't worry i wont ask for brainliest this time☆

Have a nice day!!!!!!!

- Brooklynn Deka

Answer:

Graph A.

Step-by-step explanation:

We don't even have to analyze the inequalities. It tells us that y is supposed to be bigger than something and that y is supposed to be bigger than something else. That means that for both lines, the shaded region must be upwards. The only graph that conforms to that is graph A.

Answer:

10

Step-by-step explanation:

c² = a² + b²

= 8² + 6²

= 64 + 36

= 100

c² = 100

c = 10

Answer:

10 cm²

Step-by-step explanation:

The radius of this circle is half the diameter hence is 2cm

Area of a circle is pi multiplied by the squared radius, i.e

Area = πr²

= 22/7 × 2 × 2

= 12.57 cm²

The nearest 10th is 10

Answer:

35.42%

Step-by-step explanation:

Answer:

C. 35.42%

Step-by-step explanation:

65 - 48 = 17

Since he grew 17 inches, you must figure out what percentage 17 is of 48.

17/48 = 1/100 (represents decimal)

Cross multiply: 17 ⋅ 100 = 1700 and 48 ⋅ 1 = 48

Divide: 1700/ 48

= 35.41666666666667

Round to the nearest hundredth:

= 35.42

Answer:

$273

Step-by-step explanation:

1. Find the first half of the list (There are 8 numbers in the list, so the first four)

2. List them from least to greatest ($196, $248, $298, $379)

3. find the middle of the numbers ($248, $298)

4. Since there are 2, we find the mean of the 2 numbers ($273)

5. So the answer is $273

Step-by-step explanation:

1. Review a given problem : [tex]1+4(3x-10)-12x[/tex]

2.distributive property:  [tex]4\left(3x-10\right) = 12x-40[/tex]

[tex]=1+12x-40-12x[/tex]

3. Simplify:  [tex]1+12x-40-12x[/tex]

[tex]-39 +12x-12x[/tex]

[tex]=-39[/tex]

Answer:

the probability is 13/25

Step-by-step explanation:

5+8 = 13 and there are 12 erasers, 12 + 13 = 25. you have a 13/25 chance of not picking an eraser.

Answer:

B

Step-by-step explanation:

I don't have an explanation but i know its right!!!

Answer:

(y - mx - b)^2 / (m^2 +1) = (x - h)^2 + (y - k)^2

Step-by-step explanation:

Common memory sense

Answer:

D) If there is a sequence of rigid transformations and dilations, that take one figure to the other, then they are similar.

Answer: $2.40

Step-by-step explanation: 12/5 = 2.4

Answer:

4480

Step-by-step explanation:

Answer:

4,480

Step-by-step explanation:

39+5=44

44+768=812

812+3668=4,480

Hope this helps :)

Answer:

if noblepenguin sees this, your a horrible mod. stop deleting my answers

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

Given

4(15 - 7) ← apply the distributive law

= 15(4) - 7(4) → H

Answer:

D

Step-by-step explanation:

Because you are simplifying the equation

Answer:

26

Step-by-step explanation:

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Based on the inscribed angle theorem, the measure of angle BED in the diagram given is: 57°.

The inscribed angle theorem states the measure of the inscribed angles subtended by the same arc are the same.

∠BCD and ∠BED are subtended by the same arc BD.

Therefore, based on the inscribed angle theorem, we have:

m∠BCD = m∠BED = 57°.

m∠BED = 57°

Learn more about the inscribed angle theorem on:

https://brainly.com/question/3538263

#SPJ2

Answer:

5.29150262213

Step-by-step explanation:

I hope this answer has helped you

Answer:

25d > 70

Step-by-step explanation:

Abby wants to ride her bicycle more than 70 miles this week.

More than = >

On Monday, Abby rode her bicycle for 25 miles. Abby plants to ride the same number of miles in the next six days.

Let the number of days of week she would ride her bike = d

On Monday = 25 miles

And the rest of the week = The same = 25 miles

The inequality is written as:

25d > 70

Answer:

-(6p^2+12p-7)

Step-by-step explanation:

p+7-6p^2-13p

-12p-6p^2+7

-(6p^2+12p-7)

Answer:

2,0

Step-by-step explanation: