18.
The area of the rectangle shown is at most 140 square centimeters.
a. Write and solve an inequality to find the possible
values of x.
10 cm
b. Based on the answer in part (a), is it possible for
the rectangle to have a length of 15 centimeters?
Explain.
(3x + 2) cm

18.The Area Of The Rectangle Shown Is At Most 140 Square Centimeters.a. Write And Solve An Inequality

Answers

Answer 1

9514 1404 393

Answer:

  a) 10(3x+2) ≤ 140; x ≤ 4

  b) no

Step-by-step explanation:

a) The area is the product of length and width. We want that product to be no greater than 140:

  10(3x +2) ≤ 140 . . . . your inequality

We can solve this by dividing by 10 first.

  3x +2 ≤ 14

  3x ≤ 12 . . . . . . subtract 2

  x ≤ 4 . . . . . . . . divide by 3; the solution to the inequality

__

b) If the length were 15, the area would be 10×15 = 150, which is greater than 140. The length cannot be 15 if the area is at most 140.


Related Questions

how to use the pythagorean theorem on a rectangle that is missing a side and its represented by a letter?

Answers

Answer:

Wrong

Step-by-step explanation:

Pythagorean theorem is not used for rectangles but only for triangles

What is the length of segment MO?
PHOTO ABOVE


I need to pass!!!!!
Pls try!!!

Answers

Answer: 13

Step-by-step explanation: In the picture, you have angle H congruent to angle N, Side MN congruent to side GH, and angle G congruent to angle M. That means that these two triangles are congruent by ASA. Therefore by CPCTC, side GI is congruent to side MO, which means that MO is 13.

The answer to this is 13

State whether the triangles could be proven congruent, if possible, by SSS or SAS.
Include a congruency statement for all congruent triangles.

Answers

Answer:

1. SSS

2. SAS

3. SAS

4. SSS

5. SAS

6. SAS

Step-by-step explanation:

1) Side FY ≅ Side CW  Given

Side FP ≅ Side CM     Given

Side YP ≅ Side MW    Given

∴ΔMCW ≅ ΔFPY by the Side-Side-Side (SSS) rule of congruency

2) ∠CBD ≅ ∠BCA given that both are alternate interior angles

Side EB ≅ Side EC and Side DB ≅ Side CA Given

ΔBED ≅ ΔAEC by Side-Angle-Side (SAS) rule of congruency

3. ∠SVU ≅ ∠SVT   Given

Side SV ≅ Side SV  by reflexive property

Side VT ≅ Side VU   Given

∴ ΔVSU ≅ ΔVST by Side-Angle-Side (SAS) rule of congruency

4. Side MN ≅ Side QP  Given

Side MQ ≅ Side NP     Given

Side NQ ≅ Side NQ    by reflexive property

∴ΔQNM ≅ ΔQNP by the Side-Side-Side (SSS) rule of congruency

5. Indirect proof

Side GL ≅ Side HL  Given

Side GJ ≅ Side HK     Given

∠JLG ≅ ∠HLK    vertically opposite angles

By sine rule

GJ/sin(∠JLG) = GL/n(∠GJL)

Similarly

HK/sin(∠HLK) = HL/n(∠HKL)

∴ ∠GJL ≅ ∠HKL

∴ ∠LGJ ≅ ∠LHK third angle of two triangles given the other two angles are congruent

∴ΔQNM ≅ ΔQNP by the Side-Angle-Side (SAS) rule of congruency

6. ∠XZY ≅ ∠XZW   Supplementary ∠s with ∠XZY = 90°

Side XZ ≅ Side XZ  by reflexive property

Side ZW ≅ Side ZY   Given

∴ ΔXYZ ≅ ΔXWZ by Side-Angle-Side (SAS) rule of congruency.

The congruence theorems that can be used for each of the given pair of triangles are;

1) SSS

2) SAS

3)SAS

4) SSS

5) SAS

6) SAS

1) From the image we see that;

FY ≅ CW  

FP ≅ CM  

YP ≅ MW

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔMCW ≅ ΔFPY using the Side-Side-Side (SSS) congruency theorem.

2) From the image we see that;

∠CBD and ∠BCA are both alternate interior angles and are therefore congruent. Thus;

∠CBD ≅ ∠BCA

Also, we see that;

EB ≅ EC

DB ≅ CA

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔBED ≅ ΔAEC using the Side-Angle-Side (SAS) congruency theorem.

3) From the image, we see that;

∠SVU ≅ ∠SVT

Using reflexive property, the shared sides give;

SV ≅ SV  

VT ≅ VU

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;

ΔVSU ≅ ΔVST using Side-Angle-Side (SAS) congruency theorem.

4) From the image, we see that;

MN ≅ QP

MQ ≅ NP

Using reflexive property, the shared sides give;

NQ ≅ NQ

This means that 3 corresponding sides of the 2 triangles are congruent and as such it means  ΔQNM ≅ ΔQNP using the Side-Side-Side (SSS) congruency theorem.  

5) From the image, we see that;

GL ≅ HL

GJ ≅ HK  

∠JLG and ∠HLK are vertically opposite angles and as such;

∠JLG ≅ ∠HLK

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔQNM ≅ ΔQNP using Side-Angle-Side (SAS) congruency theorem.

6) We observe from the given triangles that;

∠XZY ≅ ∠XZW (They are both right angles = 90°)

Using reflexive property, the shared side is congruent to itself and so;

XZ ≅ XZ  

Also;

ZW ≅ ZY

This means that 2 corresponding sides and an angle of the 2 triangles are congruent and as such it means;  

ΔXYZ ≅ ΔXWZ  using Side-Angle-Side (SAS) congruency theorem.

Read more at; https://brainly.com/question/14399801

One minute after takeoff, a rocket carrying the space shuttle into outer space reaches a speed of 547 m/s. What was the average acceleration of the rocket during that initial minutes

Answers

Answer:

8000 meters per second

Step-by-step explanation:

can someone explain how to calculate a unit rate ​

Answers

Answer:

It's like 60 miles per (1) hour or 20 mL per (1) second. Independent value has to equal 1.

PLEASE HLEP WITH QUESTION ONE PLS
1. Given the diagram to the right and information below, determine
which lines, if any, are parallel. State the converse that justifies
your answer.
199
10
0
10
b
c
Glven
Parallel Lines
Converse
a. 213a 217
b. 24 a 29
c. m219+ m222 180°
d. 8210
e. 210

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

a .

Parallel lines → a & c

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

b .

Parallel lines → d & e

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

c .

I couldn't read it....

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

d .

Parallel lines → ---

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

e .

Parallel lines → b & c

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

f .

Parallel lines → a & c

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Tickets to a baseball game cost $22 each and parking costs $10. What is the equation of the line that represents the cost of attending the game?
y-22=10x y=22x-10 y=22x+10 22x+y=10

Answers

The equation of the line is Y =22x + 10

Using the equation y = 3x – 5, what would the output be for an input of 4

Answers

The input is the x-coordinate and the output is the y-coordinate. If the input is 4, plug 4 into the x variable to find the output, y.

y=3(4)-5
y=12-5
y=7

The output is 7.

Answer:

output(y)=7

Step-by-step explanation:

y=3(4)-5

<=> y= 12-5

<=> y= 7

What is the y value of the solution to the system of equations given? y=5x-3 3x-2y=27

Answers

Answer:

y = -18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define systems

y = 5x - 3

3x - 2y = 27

Step 2: Rewrite systems

Define:                                        3x - 2y = 27Add 2y on both sides:               3x = 2y + 27Divide 3 on both sides:              x = 2/3y + 9

Step 3: Redefine

y = 5x - 3

x = 2/3y + 9

Step 4: Solve for y

Substitute in x:                              y = 5(2/3y + 9) - 3Distribute 5:                                  y = 10/3y + 45 - 3Combine like terms:                     y = 10/3y + 42Subtract 10/3y on both sides:      -7/3y = 42Divide -7/3 on both sides:            y = -18

Sarah's math grade average is 93.3333(repeating)%. What is the repeating decimal part of her grade as a fraction?

Answers

It is 1/3....................

Answer:

280/3

Step-by-step explanation:

multiply the number by 10x

subtract it by the original number on both sides

it should give u 9x to whatever answer u got multiply by 10 then divide by 90

HELPPPP! ILL GIVE YOU BRAINLIEST!

Answers

Answer:Can you put the question?? Thank You

Step-by-step explanation:

Answer:

what can i help with?

Step-by-step explanation:

Solve this equation: 12−3(3x−5)=12(2x+1)

Answers

Answer:

x = -3/11

Step-by-step explanation:

First, distribute the -3 and 12 within the parenthesis

12 - 9x + 15 = 24x + 12

Now, combine like terms

3 - 9x = 24x + 12

Subtract 24x from both sides of the equation

3 - 33x = 12

Subtract 3 from both sides of the equation

- 33x = 9

Divide both sides by -33

x = -9/33

-9/33 can be simplified to -3/11, so the answer is

x = -3/11

I Hope That This Helps! :)

What is the slope of the line that passes through these two points (0, -2) and (3, -4)?

Answers

Answer:

2

Step-by-step explanation:

Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{-4-(-2)}{3-0}[/tex] = [tex]\frac{6}{3}[/tex] = 2

The slope of the line will be "[tex]-\frac{2}{3}[/tex]".

The given points are:

[tex](x_1, y_1) = (0, -2)[/tex]

[tex](x_2, y_2) = (3, -4)[/tex]

As we know,

→ The slope of the line:

= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

= [tex]\frac{-4-(-2)}{3-0}[/tex]

= [tex]\frac{-4+2}{3}[/tex]

= [tex]-\frac{2}{3}[/tex]

Learn more about slope of line here:

https://brainly.com/question/18891994

Find the length of the diagonal of a square with perimeter 56

Answers

Answer:

About 19.8

Step-by-step explanation:

First find the side lengths. In this example, 56/4=14

Next use the Pythagorean theorem, to us it, here's the formula a squared plus b squared equals c squared. For this example use 14 squared plus 14 squared which equals 392.

Finally take the square root of 392 because we still need to take the squared out in c. The square root of 392 rounded to the nearest tenth is 19.8.

Please help!

If we write [tex]\sqrt{2} + \frac{1}{\sqrt{2}} + \sqrt{3} + \frac{1}{\sqrt{3}}[/tex] in the form [tex]\frac{a \sqrt{2} + b \sqrt{3}}{c}[/tex], such that [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are positive integers and [tex]c[/tex] is as small as possible, then what is [tex]a+b+c[/tex]?

Answers

Answer:

[tex]a+b+c=9+8+6=23[/tex]

Step-by-step explanation:

Let’s first simplify our expression. We have:

[tex]\displaystyle {\sqrt2+\frac{1}{\sqrt2}+\sqrt3+\frac{1}{\sqrt{3}}[/tex]

For the second term, multiply both the numerator and denominator by √2. This yields:

[tex]\displaystyle \frac{1}{\sqrt{2}}\cdot\frac{\sqrt{2}}{\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]

Similarly, for the fourth term, multiply both the numerator and denominator by √3. This yields:

[tex]\displaystyle\frac{1}{\sqrt{3}}\cdot\frac{\sqrt{3}}{\sqrt{3}}=\frac{\sqrt{3}}{3}[/tex]

Hence, our expression is now:

[tex]\displaystyle =\sqrt{2}+\frac{\sqrt{2}}{2}+\sqrt{3}+\frac{\sqrt{3}}{3}[/tex]

Let’s combine them. First, we will need common denominators.

Our denominators are 2 and 3. So, our common denominator will be its LCM.

The LCM of 2 and 3 is 6.

Hence, let’s make each term’s denominator 6.

For the first term, we can multiply both layers by 6. Hence:

[tex]\displaystyle \sqrt{2}=\frac{6\sqrt{2}}{6}[/tex]

For the second term, we can multiply both layers by 3. Hence:

[tex]\displaystyle \frac{\sqrt{2}}{2}=\frac{3\sqrt{2}}{6}[/tex]

For the third term, we can multiply both layers by 6. Hence:

[tex]\displaystyle \sqrt{3}=\frac{6\sqrt{3}}{6}[/tex]

And for the last term, we can multiply both layers by 2. Hence:

[tex]\displaystyle \frac{\sqrt{3}}{3}=\frac{2\sqrt{3}}{6}[/tex]

So, our expression is:

[tex]\displaystyle =\frac{6\sqrt{2}}{6}+\frac{3\sqrt{2}}{6}+\frac{6\sqrt{3}}{6}+\frac{2\sqrt{3}}{6}[/tex]

Add:

[tex]\displaystyle =\frac{6\sqrt{2}+3\sqrt{2}+6\sqrt{3}+2\sqrt{3}}{6}[/tex]

Combine like terms:

[tex]\displaystyle=\frac{9\sqrt{2}+8\sqrt{3}}{6}[/tex]

This cannot be simplified. So, c is as small as possible.

Hence: a=9, b=8, and c=6.

Therefore:

[tex]a+b+c=9+8+6=23[/tex]

Evaluate 2x

2 + y if the values of x = 3, and y = 10

Answers

Answer:

6,12

Step-by-step explanation:

i have no idea what to do

do u want me to evaluate 1 problem or 2

6,2
Do you want me to do 1 or 2 Answeres

WILL GIVE BRAINLIST!!!!! Select the correct answer. Which graph represents this function? f (x) = 1/2x -5 A. B. C. D.

Answers

Answer:

B

Step-by-step explanation:

The y-int. is -5 like the equation and the slope is positive

Is this a Right Triangle 9 m, 15 m, 17 m
Yes or No?

Answers

Answer:

No it would not be because two sides added up would not equal the other side

Step-by-step explanation:

Answer:

No it is not.

Step-by-step explanation:

All right triangles follow the Pythagorean theorem [tex]a^2+b^2=c^2[/tex] where the squares of the two shorter sides of the right angle triangle is equivalent to the square of the longest side.

Squares of the two shorter sides:

[tex]9^{2}+15^{2}=306[/tex]

Square of the longer side:

[tex]17^{2}=289[/tex]

[tex]306\neq 289[/tex], ∴ the triangle is not a right angle triangle.

I hope this helps :)

The sum of 3r2 + 58 - 6 and -r2 + 3x + 9 is?

Answers

Answer:

2r ^2  +61+3x

Step-by-step explanation:

1 Collect like terms.

(3{r}^{2}-{r}^{2})+(58-6+9)+3x(3r

​2

​​ −r

​2

​​ )+(58−6+9)+3x

2 Simplify.

2{r}^{2}+61+3x2r

​2

​​ +61+3x

Today only every sweatshirt is $5.75 less than normal price. Right now if you buy 5 sweatshirts. The total cost will be $78.75. What is the normal price of the sweatshirt?

Answers

im pretty sure it’s 15.77 because if you divide $78.75 by 5 you get that.

Answer:

13.695

Step-by-step explanation:

78.75/5=15.75/5.75=2.739*5=13.695

PLEASE PLEASE PLEASE HELP I WILL GIVE XTRA POINTS AND BRAINALIST TO FIRST PERSON

Answers

Answer:

the answer is A because it has all numbers less than 15

Step-by-step explanation:

The perimeter of a square with side length s

Answers

Answer:

4s

Step-by-step explanation:

The perimeter of a square is 4 times it's side length.

Formula for a perimeter of a square: [tex]4s[/tex]

s - side length

Hope this helps.

Help me out please !!!

Answers

Answer:

rate of change = 1.75 over 1 or just 1.75

Step-by-step explanation:

this represents the cost of each cantaloupe. This basically means that each cantaloupe is $1.75.

solve.
1/x = 1/5x = x-1/5x

Answers

Answer:

5=x=x-1

Step-by-step explanation:

Mutiply each equation by 5x

You will get 5=x=x-1

Kendall bought a vase that was priced at $450. in addition, she had to pay 3% sales tax. How much did she pay for the vase?

Answers

Answer:

$463.50

Step-by-step explanation:

3% of 450 is 13.50

450+13.50=463.50

hope this helps :3

if it did pls mark brainliest

463.5 idrk

but 3& make it into a decimal so .03 then multipy it by 450 then you get 13.5 you add it to 450 and get 463.5

A cake recipe contains sugar and flour in the ratio 3 : 2.

How much of each ingredient is needed to make 600 gram of such a cake?

Answers

Answer:

360 g of sugar and 240 g of flour

Step-by-step explanation:

add the parts of the ratio, 3 + 2 = 5 parts

Divide the total by 5 to find the value of one part of the ratio.

600 g ÷ 5 = 120 g , thus

3 parts = 3 × 120 g = 360 g ← amount of sugar required

2 parts = 2 × 120 g = 240 g ← amount of flour required

Answer:

360 grams of sugar and 240 grams of flour

Step-by-step explanation:

First, find the sum of the parts of the ratio: 3 + 2 = 5

Divide the total amount (600) by the amount of parts:

600/5 = 120

Now multiply 120 by the amount of each part of the ratio:

210 * 3 = 360

360 * 2 = 240

360 grams of sugar and 240 grams of flour are needed to make 600 grams of a cake.

Hope this helps :)

Can someone help me please?

Answers

Answer:

about 6000π

Step-by-step explanation:

Hope it helps :)
Here is the working

PLEASE HELP ME 16 POINTS PLEASE HELP

Answers

Answer:

Slope: Rise/run

= -2/4

= -1/2

Answer:

-1/2

Step-by-step explanation:

Like I said in your previous question!!

RISE/RUN.

Choose a point, rise how many you need to, then run. Since you run 'backwards' after rising, this slope is negative!

I hope this helps!!

Find the slope of the line.

Answers

Answer:

4

Step-by-step explanation:

Help me now!!!!! This is due at 12

Answers

16

i know this because
2 x 9 = 18
4 x 9 = 36
and 14 x 9 = 126

so, the constant of this proportional ratio table is 9

144 divided by 9 is 16

Answer:

umm what grade are you in???

144/9= 16!!!!!

Step-by-step explanation:

anyways wont act exactly like you and the answer is 16

Other Questions
Read and choose the option with the correct words that matches the image.A coconut El coco marrn y blanco El pimiento grande y verde El tomate grande y rojo El brcoli verde y pequeo People who agree to work for a period of time in exchange for their passage to America were called:1. Apprentices2. Peasants 3. Slaves4. Indentured Servants Please translate this into frenchDo you like Harry Potter?Do you like to read?Where are you traveling? Which statement about electoral college and the electoral process is most accurate What do butterflies and lobsters have in common? Write a program that: Takes the list lotsOfNumbers and uses a loop to find the sum of all of the odd numbers in the list (hint: use Mod). Displays the sum. 11. Claudio Monteverdi (Tell about his life and some of the works he wrote-at least a paragraph of 5 lines or more. (01.02 LC)Solve3x - 15= 4x2Ox= 11Ox=6Ox= -3Ox= -15I need help whats the answer for (1 + 1 x 15 /3)sqr2 principals of manegment Whats is the answer for 30x10283 It takes Rebekka 1/2 hour to jog 1 1/4 miles.Which calculation could be used to find her unit rate in miles per hour?A. multiply: 1 1/4 x 1/2B. multiply: 1/2 x 2C. divide: 1 1/4 / 1/2D. divide: 1/2 / 1 1/4 STAY SAFE!!MAY YOU AND UR WHOLE FAMILY LIVE FOR MORE THAN 100 YEARS!!!JUST BECAUSE SOME OF THE PASSED AWAY DOESN'T MEAN THEY ARE STILL NOT WITH YOUITS LIKE PLANETS THEY ARE FAR AWAY FROM EACH OTHER, BUT THE FORCE OF LOVE KEEPS THEM TOGETHER!!ITS TOO STRONG TO BE BROKEN!! :) Which points can be used to create a line with a zero slope through (3,-2) Write a creative poem about fall. (At least two stanzas) it has to represent what fall means to you. can anyone help me? its about the declaration of independence. Which of the following equations is written in vertex form?Oy= 2x + 3x 8Oy= 3 (x + 5) (x - 2)O y= -2(x + 5)2 2 .O y = 3x 5Need help please!!! Name the values of the 5s in 5,500 Find the area of this parallelogram.5.2 cm =height8.4 cm =width Throughout its history, country music has been trying to find a balancebetween two ideas. Which are they?O A. religious beliefs and non-religious beliefsO B. patriotism and criticism of the governmentO c. artistic goals and commercial goalsD. traditional things and modern things