Given a rectangle with width equal to (2x+1) units, length equal to (2x−1) units, and area equal to 35 square units, find the width of the rectangle.

Answers

Answer 1

Answer:

The width of the rectangle is 7 units

Step-by-step explanation:

Here, we want to find the width of the rectangle

Mathematically, the area of the triangle is length * width

(2x + 1)(2x-1) = 35

4x^2 - 1 = 35

4x^2 = 36

x^2 = 9

x = 3

Substituting 3 in 2x + 1

we have 2(3) + 1 = 6 + 1 = 7 units


Related Questions

The function h(x) = g(x + 2) - 1, complete the table for h(x).
g(x + 2) - 1
h(x)
-2
-1
0
(0+2) - 1
1
1
2.
Part A: What is the value for h(2)?
Select a Value

Answers

Answer:

x               g(x + 2)-1               h(x)

-2              g(-2+2)-1              -1

-1               g(-1+2)-1               0

0               g(0+2)-1               1

1                g(1+2)-1                2

2               g(2+2)-1               3

Part A: 3

Part B: -1

Step-by-step explanation:

When you have questions like these all you have to do is plug in and solve.

For example I will do h(2) & h(-2) for reference.

h(2):

[tex](2+2)-1\\4-1\\3[/tex]

h(-2):

[tex](-2+2)-1\\0-1\\-1[/tex]

help!! i dont understand this thanks if you helped :)

Answers

Answer:

28

Step-by-step explanation:

does anyone know the answers to this ? Pls help me out

Answers

Answer:

C. 4

Step-by-step explanation:

2x³+2x¹+2x+5+4/x-1


Which model represents a fraction greater than 3/5?

Answers

Answer:

the 2nd one

Step-by-step explanation:

Answer:

its the blue circle

Step-by-step explanation:

pls complete it (picture)​

Answers

Answer:

35

Step-by-step explanation:

Roses are red vilots are blue am not that pretty but Dam look at u

Answer:

35 cm²

Step-by-step explanation:

5 cm * 7 cm = 35 cm²

PLZ HELP ASAP what number should be placed in the box to help complete the division calculation

Answers

It should be 18 because after subtracting 55 and 54 you get 1 but then you bring down the 9 so you get 19. 18 can only fit to 19 one time, 18x 1, and you get 18. So you subtract 18 and 19 and get 1 then you bring down the 3 and get 13.                                                                                                                                                 Answer=18

Please help me!! Please!!

Answers

if those are open circles shown on the number line the answer is D

Select the correct answer.

Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?

A. x ≥ -4
B. x ≤ -4
C. x ≥ 8
D. x ≤ 8

Answers

Answer is B: x≤-4

Step-by-step explanation:

-2(3x+6)≥4(x+7)

distribute

-6x-12≥4x+28

add 12 on both sides and subtract 4x on both sides

-10x≥40

divide by -10 on both sides. keep in mind that this flips the inequality sign.

x≤-4

Answer:B

Step-by-step explanation:

It took a car 3 days to travel 1068 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)

Answers

Answer:

Hello Everybody Love Pizza

Step-by-step explanation:

Answer: 15 mph if they go without stop

Step-by-step explanation:

What is the Greatest Common Factor of the two monomials?
15a²b, 35ab2

Answers

Answer:

5ab

Step-by-step explanation:

To find the greatest common factor (GCF), you will need to find the largest value that both of these monomials can be divided by. There are three different parts to these monomials: the number value, variable a, and variable b.

Find the largest number of each element that can be divided by both.

Numbers: the GCF of 15 and 35 is 5 (15/5 = 3, 35/5 = 7, 3 and 7 are prime numbers and therefore, cannot be divided further)

Variable a: the GCF of a² and a is a

Variable b: the GCF of b and b² is b

Therefore, the GCF is 5ab.

On a sunny day, if a 36-inch yardstick casts a 21-inch shadow, how tall is a tree whose shadow is 168 in.?

A.143 in.

B.196 in.

C.288 in.

Answers

Answer:

I'm pretty sure the answer is 288

Pllllsssss it's due today

Answers

Answer:

Step-by-step explanation:

For every 4 pounds of sugar you get 20 cups of coffee. 4:20

For every packet of seeds you get 10 plants  1:10

5. Suppose Sal’s total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for each sandwich and $3 for each wrap. In a paragraph of at least three complete sentences, explain how the graphs of the functions for the two months are similar and how they are different

Answers

Answer:

Given:

Profit of every sandwich = $2

Profit of every wrap = $3

x = sandwich

y = wrap

Last month:  2x + 3y = 1,470

Next month: 2x + 3y = 1,593

Based on the given equation:

Both still have the same profit. $2 for sandwiches and $3 for wraps.

The only reason why there is a difference in the total amount is the change in the number of sandwich or wrap sold in a given month.

Since, next month's total sale is higher than last month's total sale, it is safe to assume that the sale of sandwich or wrap is higher than last month's sale.

The graph of the functions for the two moths are similar because both conditions have same slope and they are different because they have different [tex]y-[/tex] intercept.

What is slope intercept form?

The graph of the linear equation   is a line with [tex]m[/tex] as slope, [tex]m[/tex] and [tex]b[/tex]   as the [tex]y-[/tex] intercept. This form of the linear equation is called the slope-intercept form, and the values of [tex]m[/tex] and [tex]b[/tex] are real numbers.

It is given that, the profit amount is [tex]$\$2$[/tex] for each sandwich and [tex]$\$3$[/tex] for each wrap and total profit is [tex]$\$1593$[/tex].

So, the equation is,

[tex]2x+3y=1593[/tex]

Change the equation in slope intercept form [tex]y=mx+b[/tex]

So,

[tex]2x+3y=1593[/tex]

Subtract [tex]2x[/tex] in both sides.

[tex]2x+3y-2x=1593-2x[/tex]

[tex]3y=1593-2x[/tex]

Divide each side by [tex]3[/tex].

[tex]$\frac{3y}{3}=\frac{1593}{3} -\frac{2x}{3}[/tex]

[tex]$\therefore y=-\frac{2x}{3}+531$[/tex]

So, the equation is,

[tex]y=-\frac{2x}{3}+531$[/tex]

The graph of the equation is shown below.

From the below graph, we will have two step down and three step right.

So, slope looks like rise over run.

So, the graphs represents, how many wraps and sandwiches were sold.

Both will have same slope, because if we will make the equation for this, it is like,

[tex]$2x+3y=1593$[/tex]

The calculation is follow for both condition is same.

Since, both conditions have same slope but different [tex]y-[/tex] intercept.

Hence, next month's total sale is greater than last month's total sale, it is safe to consider that the sale of sandwich or wrap is greater than last month's sale.

Learn more about slope intercept form here,

https://brainly.com/question/11824567

#SPJ2

is 8.6x10^7 written in scientific notation

Answers

Answer:

86000000

Step-by-step explanation:

86000000

Move the decimal point 7 places to the left.

8.6000000*107

Answer:

8.6 x10^7

^So it's 86000000

Explain three ways natural barriers impacted civilizations.

Answers

Answer:

oooooooooooooooooooooooooo

Step-by-step explanation:

oooooooooooooooooooo

Find the area of the shape below

Answers

Answer: where is the pdf

Step-by-step explanation:

Answer:

Circle shape HOOOOOOYAAAAAHHHH

Step-by-step explanation:

Natalie tried to evaluate the expression \left( 4^{-3} \cdot 2^{-3} \right)^{0}(4 −3 ⋅2 −3 ) 0 left parenthesis, 4, start superscript, minus, 3, end superscript, dot, 2, start superscript, minus, 3, end superscript, right parenthesis, start superscript, 0, end superscript. \begin{aligned} &\phantom{=}\left( 4^{-3} \cdot 2^{-3} \right)^{0} \\\\ &=\left( 8^{-3}\right)^{0} &\text{Step } 1 \\\\ &= 8^{0} &\text{Step } 2 \\\\ &=0&\text{Step } 3 \end{aligned} ​ =(4 −3 ⋅2 −3 ) 0 =(8 −3 ) 0 =8 0 =0 ​ Step 1 Step 2 Step 3 ​ Did Natalie make a mistake? If so, in which step?

Answers

Given:

The expression is

[tex]\left( 4^{-3} \cdot 2^{-3} \right)^{0} [/tex]

To find:

The Natalie's mistake.

Solution:

We have,

[tex]\left( 4^{-3} \cdot 2^{-3} \right)^{0} [/tex]

Using properties of exponents, we get

[tex]=\left( (4\times 2)^{-3} \right)^{0} [/tex]       [tex][\because a^mb^m=(ab)^m][/tex]

[tex]=\left( (8)^{-3} \right)^{0}[/tex]

[tex]=\left( 8 \right)^{0}[/tex]               [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]=1[/tex]                 [tex][\because a^0=1,\text{ where, a is any non zero number}][/tex]

Therefore, Natalie make a mistake in Step 3. She write [tex]8^0=0[/tex] instead of [tex]8^0=1[/tex].

Answer:

d

Step-by-step explanation:

Factor the Expression. 8x - 40 *
(8x - 5)
8(x - 5)
8(x - 40)

Answers

Answer:

8(x-5)

Step-by-step explanation:

it would be 8(x-5). factoring means you take a common factor from them all, and put the remaining in parenthesis.

can someone please help me with this math problem please and thank you ​

Answers

Answer:

67°

Step-by-step explanation:

AI/AK=AH/AJ=HI/JK

angle HJK= angle AHI

= 67°

angle x= 180°-46°-67°

=67°

Work out the value of 5 squared add 2 cubed

Answers

Answer:

33

Step-by-step explanation:

5 squared is 25, 2 cubed is 8. 25+8=33

Please mark brainliest Hope this helps :D

The value of the given expression 5² + 2³ is 33

What are expressions?

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

The given expression, 5² + 2³, involves two operations: squaring and cubing.

The first operation, 5², means that we need to multiply 5 by itself, which results in 25.

The second operation, 2³, means that we need to multiply 2 by itself three times, which results in 8.

Therefore, 5² + 2³ is equivalent to 25 + 8, which gives us 33 as the final answer.

In other words, the value of the given expression is 33. This calculation involves basic arithmetic operations and can be easily solved using a calculator or mental math skills.

To know more about Expressions check:

brainly.com/question/16804733

#SPJ2

Select the correct answer. Which statement is true? A. As the risk of an investment decreases, the opportunity of gains increases. B. As the risk of an investment decreases, so does the potential for its return. C. As the risk of an investment increases, its market value increases. D. As the risk of an investment increases, the opportunity of gains decreases. E. As the risk of an investment increases, its market value decreases.

Answers

Answer:

The answer is C. As the risk of an investment increases its, market value increases.

Step-by-step explanation:

Susan has 3/4 cup of raisins and she divides them into 3/8 cup servings. How many servings are there in 3/4 cup of raisins?

Answers

2 cups raisins

Step-by-step explanation:

3/4 divided by 3/8

3/4 x 8/3 = 2/1 = 2

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

There are two 3/8 cup servings in 3/4 cups of raisins.

The number of 3/8 cups of servings = 2 servings.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Number of cups of raisins Susan have = 3/4 cups

The number of 3/8 servings in 3/4 cups of raisins:

= 3/4 ÷ 3/8

= 3/4 x 8/3

= (3 x 8) / (4 x 3)

= 2 servings

Thus,

There are two 3/8 cup servings in 3/4 cups of raisins.

The number of 3/8 cups of servings = 2 servings.

Learn more about fractions here:

https://brainly.com/question/24370499

#SPJ5

A high school championship football game was attended by 1580 fans. there were 640 were out of state fans at the game. the other fans were local.

Answers

Answer:

Step-by-step explanation:

1580-640=940 were local

No. of local fans = 940

What is subtraction?

Subtraction is one of the four basic arithmetic operations in mathematics. It represents the operation of removing objects from a collection. The minus sign signifies subtraction −.

Example: There are nine oranges arranged as a stack, out of which four oranges are transferred to a basket, then there will be, 9 – 4 oranges left in the stack, i.e. five oranges.

Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5.

Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers such as negative numbers, fractions, rational & irrational numbers, decimals, functions, matrices and vectors.

Given,

Total fans attended championship = 1580

No. of out of state fans = 640

No of local fans = total fans - no. of out of state fans

                          = 1580 - 640

No of local fans = 940

Hence, there were 940 local fans who attended football championship.

Learn more about subtraction here:

https://brainly.com/question/2346316

#SPJ2

One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a function that represents the arithmetic sequence. How long does it take for the tree to reach its maximum height of 28 feet?

Answers

Answer: f(x)=10+2x

Step-by-step explanation: x = the number of years. 10 represents the starting length . please tell me if i was right

Answer: f(n)=2n+10

Step-by-step explanation:

HELP ASAP PLEASE WILL GIVE BRAINLIEST

pls give explanation too

graph f(x) = |x+5|

Answers

I’m pretty sure it would look something like this.

If is parallel to , which statement must be true?
A.
The perpendicular distance between and decreases as the lines are traversed right to left.
B.
and do not intersect.
C.
and intersect at 90° angles.
D.
The perpendicular distance between and increases as the lines are traversed left to right.

Answers

I’m pretty sure it’s d

Answer:

D

Step-by-step explanation:

plato

if correct ill give u brainlest

Answers

Answer:

12 is the answer

Step-by-step explanation:

12

Everyday Isabel swims 10-20 laps in a 50 meter pool. The amount of time she spends swimming is represented by the function f(x) = 3x where x represents the number of laps she swims.

Answers

Given :

Everyday Isabel swims 10-20 laps in a 50 meter pool.

The amount of time she spends swimming is represented by the function f(x) = 3x .

To Find :

The speed of Isabel.

Solution :

Distance travelled in x laps is, D = 50x .

It is given that time taken is, t = 3x .

So, speed of Isabel is given as :

[tex]Speed=\dfrac{Distance}{Time}\\\\Speed = \dfrac{50x}{3x}\\\\Speed = \dfrac{50}{3}=16.67 \ m/s[/tex]

Hence, this is the required solution.

Aiden estimates that the length of a piece of rope is 7.2 inches. If its actual length is 6.5 inches, what is the percent error of Aiden’s estimate?

Answers

Answer:

♡Greetings!

It's 11 percent ♡

Hope I could help you, stay safe! \(≧▽≦)/

~ Clara

✧・゚: *✧・ *:・゚✧*:・゚✧・゚: *✧・゚ *:・゚✧*:・゚✧✧・゚: *✧・ *:・゚✧*:・゚✧・゚: *✧・゚

Step-by-step explanation:


What is the slope of the line?

Answers

Answer:

its positive slope

Step-by-step explanation:

Y= 3/4x - 1
Slope is 3/4
Other Questions
What was one effect of the Mongol Empire on the people who lived in Russia and much of Asia in the late 1200s?a. Expansion of Japanese cultural traditions throughout the empireb. Adoption of Confucian ideas and practicesc. Development of a common Sanskrit languaged. Ability to trade and travel from one end of the empire to the other Grandpa Ernie is shrinking! Over the past 4 years, his height decreased by a total of 2.4 cm. It decreased by the same amount each year. The change in height each year was _____________________ cm. What were the five o'clock follies?A ) journalists' editorials in newspapersB) daily newspapers in the United StatesC) the military's daily press briefings in SaigonD) nightly newscasts from Washington Ever since the movie was released, there (has / have) been many rumors about the co-stars off-screen relationship. Is it have or has and why? 4/7 = ________ (decimal-round to hundredths) state newton's three laws of motion What will Maria and Pedro most likely see as a result of the difference in water speed as they float down the river? Only smart people are allowed to answer ONLY smart people............... If you can answer this correctly then maybe you are actually yourself!!!Fill in the blanks: ______ compounds break up into ______ and ______ in solution, which can move freely and carry an _______ current. Find the slope of the ordered pair. A(4,6) B(5,8) relationship between genes chromosomes an dna . The graphic would indicate a market that is Janet can plant nine feet of carrots in 15 minutes while her daughter Amy can plant 17 feet of carrots in half an hour. Who plants carrots more quickly? Show work Calculate the unit rate for Machine A and Machine B. Determine which is the greater rate (Below).Machine A covers 5/8 square feet in 1/4 hour or Machine B covers 2/3 square feet in 1/5 hour. Colin is 9 years older than Richard. David is 12 years younger than Richard. If the total of their ages is 93, how old is the eldest of them? If I have two points on a graph, let's say (4,5) and (8,10) what is the slope between the points? What are 4 signs that a chemical reaction had occurred? [ tan2 ] [( sec 1 )( sec + 1 ) Which detail from "To Build a Fire" best supports the idea that most of the real Yukon prospectors had little experience for surviving in cold weather?A. It happened. It was his own fault or, rather, his mistake. He should not have built the fire under the spruce tree.B. There was the fire, snapping and crackling and promising life with every dancing flame. C. He would have to build a fire and dry out his footgear. This was imperative at that low temperaturehe knew that much.D. The flame he got by touching a match to a small shred of birch bark that he took from his pocket. Help please!!! Idk the answer.. if anyone knows then will u help me please!!! I will mark as BRAINLIEST How many atoms are in 2.00 moles of titanium