Consider the rectangle shown.
3x + 5
2x-1
If the perimeter of the rectangle is 52, what is the value of x?

Answers

Answer 1

Step-by-step explanation:

Perimeter of rectangle = 2(a+b) or 2a +2b

a=perimeter of the first side of the rectangle

b=perimeter of the second side of the rectangle

Perimeter = 2(3x+5 + 2x-1)=52

Open the bracket by multiplying the number outside by the number inside

=6x+10+4x-2=52

C.L.T ( Collect like terms), that means put the terms that have co-efficients together (those with variables "X") and those that don't have in the other side of the equation. While collecting like terms, if a number is taken to the other side, the sign changes

6x+4x=52-10+2

10x=44

D.B.S by 10, to make variable X subject

x=4.4

Answer 2

If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.

What is the perimeter of the rectangle?

Let W be the rectangle's width and L its length.

The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be

Perimeter of the rectangle = 2(L + W) units

The dimension of the rectangle is (3x + 5) and (2x - 1).

If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be given as,

2[(3x + 5) + (2x - 1)] = 52

Simplify the equation, then we have

2[(3x + 5) + (2x - 1)] = 52

3x + 5 + 2x - 1 = 26

5x + 4 = 26

5x = 22

x = 22 / 5

x = 4.4

If the perimeter of the rectangle is 52. Then the value of the variable 'x' will be 4.4.

More about the perimeter of the rectangle link is given below.

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Related Questions

ABC is a triangle. AC=19cm, BC=17cm and angle BAC=60

Answers

Answer:

In the picture

Step-by-step explanation:

it's an acute triangle

more information in the picture

45 + 30 = 100 - w
Answer correctly luvs

Answers

Answer:

the answer is 25

Step-by-step explanation:

45+30=100-w

then your going to subtract 45 on both sides. So 100-45 is 55.

so now your equation looks like this

30 = 55 - w

subtract 55 on both sides so you will have -25 = -w. Then your going to divide -w on both sides and you will have positive 25

i hope thus helps

Mrs. Jerry wants her twenty-five students to each have forty-eight buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are fifteen buttons in each bag. How many bags of buttons does Mrs. Jerry need to buy so she has exactly enough buttons for her twenty-five students? Show all your mathematical thinking.​

Answers

Answer:

25X48=1200 buttons in all

1200 divided by 15 = 80

She needs to buy 80 bags which totals 1200 buttons

Step-by-step explanation:

If you multiply 25 and 48 it is 1200

Divide 1200 and 15

Answer: 80

What property was used in step 1 to arrive at step 2?

Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18.

Answers

Answer:

Distributive Property

Step-by-step explanation:

5(x - 7) = 55   ⇒   5x - 35 = 55

The 5 was distributed in 5(x-7) to get 5x - 35.

Estimate and solve 2,352 ÷ 4 =

Answers

Answer

588 is the exact answer. Which is about 590 or 600.

Step-by-step explanation:

solve similar triangles (advanced)

Answers

Answer:  18/7

This approximates to 2.5714

=====================================================

Explanation:

The two triangles are similar. We can use the AA (angle angle) theorem to prove this claim.

Because [tex]\triangle ABC \sim \triangle ADE[/tex], this means:

side AB corresponds to side AD. The letters from AB are the first two letters of ABC while AD are the first two letters from ADE.side BC corresponds to DE. We have BC as the last two letters of ABC and DE the last two letters of ADE

As those bullet points above mention, the order of ABC and ADE matters to allow us to pair up the corresponding angles and corresponding sides.

From that, we can form the proportion below to solve for x

AB/AD = BC/DE

3/(3+4) = x/6

3/7 = x/6

3*6 = 7*x

18 = 7x

7x = 18

x = 18/7

You could convert this to the approximate decimal form 18/7 = 2.5714, but I think it's better to keep it as a fraction.

please answer!!!!!!!!!!!

Answers

The answer is C bc all points multiplied by scale factor of 1/5

50 POINTS PLEASE HELPP
For which of the following inequalities, is 4
part of the solution set? Select all that
apply.
I A. x > -5
I B. 2 > x
C. 3x + 4 >-8
O D. 5x < 2x - 3
E. -6 < 4 - 2x

Answers

Answer:

a

Step-by-step explanation:

Answer:

A, C, and E

Step-by-step explanation:

Replace the x with 4 and do the math

Write an expression to model each situation.


Sandra picked 10 blue flowers and 16 red flowers. Then she divided the flowers equally into 2 bouquets. _______________



A recipe called for 2/3 cup flour. Kyle doubled the recipe. Then he added 1/4 cup more flour to make the dough less sticky. ________________

Answers

The first one should be:
(10 + 16) ÷ 2
because if you didnt have any parentheses, it would have a different answer.

the second one should be:
2/3 x 2 + 1/4

For the given conditions expressions 1 and 2 are obtained as (10 + 16) ÷ 2 and 2/3 x 2 + 1/4 respectively.

What is a mathematical expression?

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression

It is given that the expression is,

Sandra selected 16 red flowers as well as 10 blue blooms. She then equally split the flowers into 2 bouquets.

The expression for the given condition is,

=(10 + 16) ÷ 2

If a recipe required 2/3 cup of flour. The recipe was quadrupled by Kyle. He then increased the flour by 1/4 cup to make the dough less sticky. The expression for the given condition is,

=2/3 x 2 + 1/4

Thus, the obtained expressions are (10 + 16) ÷ 2 and 2/3 x 2 + 1/4.

Learn more about the expression here:

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Ben’s father is paying for a $20 meal he has a 50% off coupon for the meal after the discount a 7% sales tax is applied what does Ben’s father pay for the meal after the discount

Answers

$20 = 100%
50%= $10
Making $10 the new 100%
$10/100=0.1
0.1=1%
0.1x7=0.7
Meal after discount = $10.70
I think this is right? I hope it helped :)

how to calculate fractions without a calculator

Answers

Answer:

Step-by-step explanation:

all you need to do is divide that number by the denominator of the fraction, then multiply your result by the numerator of the fraction


Triangle NLM is reflected over the line segment as
shown, forming triangle ABC. Which congruency
statement is correct?
NLM - CAB
NLM -CBA
NLM - BCA
NLM - BAC

Answers

NLM-CAB would be the right answer

Triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Triangle NLM is reflected over the line segment and form the  triangle ABC.

Triangle NLM is reflected over the line segment to form triangle ABC. This means that the corresponding sides and angles of the two triangles are congruent.

The reflection over a line segment preserves the orientation of the triangle, so the order of the letters in the names of the triangles should remain the same.

Therefore, triangle NLM is reflected over the line segment as shown, forming triangle ABC  then the correct congruency statement is NLM ≅ CAB

To learn more on Triangles click:

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Points A, B and C lie on a circle, centre O.
Angle AOC = 142°.
Find the value of y.

Answers

The value of y in the cyclic quadrilateral with ∠AOC(142°) is 38°

The diagram above represents a cyclic quadrilateral.

A cyclic quadrilateral has all it vertices on the circumference of the circle.

Therefore,

Opposite angles are supplementary. This means they add up to 180 degrees.

Therefore,

142° + y° = 180°

subtract 142 from both sides of the equation

142 - 142 + y = 180 - 142

y = 38°

learn more about circle theorem here: https://brainly.com/question/24795394

Estimate the quotient of 57.87 ÷ 5 A) 9 B) 10 C) 11 D) 12

Answers

Answer:

C, 11

Step-by-step explanation:

PLS SHOW ME HOW U GET THE ANSWER AND WILL GIVE BRAINLYEST

Answers

Answer:

38 degrees

Step-by-step explanation:

all triangles length added up are 180 degrees.

add 52 and 90 to get 142. Subtract to get 38 degrees.

Which table matches the equation y= 8x + 20

Answers

Answer:

The first table

Step-by-step explanation:

x         y

7         76

10      100

13       124

16      148

HOPE THIS HELPS :)

The answer is 20 I had this question

If 3x-2=11, what is the value of 6x+5? PLS HELP

Answers

Answer:

approximately 31

Step-by-step explanation:

3X-2=11

3x=13

x=13/3 = 4.3

then 6X+5=6×4.3+5 = 30.8 or approximately

can someone help me with this asap, please and thank you (pic attached) *math*

Answers

Step-by-step explanation:

the "x-2" makes it shift by 2 to the right (functional values are created at x that "should have happened" at 2 x units before, so the whole graph moves to the right).

the 0.4 factor compresses it by the factor 0.4

the "-" at the beginning just "flips" (reflects) it to the other side of the x-axis.

If ARST = ANPQ, which of the following is true?

Answers

Answer:

T=Q

Step-by-step explanation:

They are in te same position on the comparison

2(2c+12)=68
Using the opposite steps, inverse operations, solve for the value of the variable

Answers

[tex]\huge\boxed{Good\:evening!:)}[/tex]

2(2c+12)=68

4c+24=68

4c=68-24

4c=44

Divide both sides by 4:

c=11

[tex]\huge\boxed{Hence,\:the\:answer\:is\:11.:)}[/tex]

[tex]\huge\underline{Hope\:it\:helps!}[/tex]

[tex]\huge\sf{Good\:luck.}[/tex]

[tex]\boxed{DreamyTeenager\:here\:to\:help}[/tex]

0.66 pts
Sandy bought a pair of shoes on sale for 40% off the original price and an additional 25% off the discount price. If the shoes originally cost $60, what was the final cost, without tax, that Sandy paid for the shoes?

Answers

Answer:

The price is $27.00

Step-by-step explanation:

First you find 40% of 60 which is 24.

Next you subtract 24 from 60 (60-24) which equals 36.

Then you find 25% of the discounted price (36) which is 9.

Finally you subtract 9 from 36 (36-9) which is 27.

Conclusion:

So therefore the answer is $27.00.

I don't care if I get brainlyist just glad I could help :)

Solve the expression then name the polynomial
If f(x) = 2x – 3 and g(x) = 3x2
– 2x + 6 then what is (f + g)(x)?

Answers

Here’s my work to your question.

Answer please................................

Answers

Answer:

1 and 4

Step-by-step explanation:

Combine like terms.
6p+ 15 + 10p - 9
A. 16p+ 6
B. 16p+ 24
Ос. бр +6
O D. 16p - 6

Answers

Answer:

i think A. 16p+6 is answer

I think the answer is 16p+6 because 6p+10p is 16p and 15-9 is +6

solve for z. -z+7=6 and thank you

Answers

Answer:

z = 1

Step-by-step explanation:

-z+7 = 6

so

7-6 = z

1 = z

good luck

Answer:

[tex]\huge\boxed{\sf z = 1}[/tex]

Step-by-step explanation:

-z + 7 = 6

Subtract 7 to both sides

-z = 6 - 7

-z = -1

Divide both sides by -1

z = 1

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

3 1/8 - b = 1 3/4
how do I figure out what b is?

Answers

Exact form: b=11/8

Mixed form: b= 1 3/8
First, your goal is to get the variables to one side, and the numbers to the other. In this case, subtract the 3 1/8 from both sides. Then you will have a negative variable. You can flip the sign on the other side to get a positive variable = a number.

Did not want to do the real math. Explanations are worth more than answer

A new health drink has 180% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the drink?

Answers

Multiply the percentage by the allowable amount:

180% = 1.80

20 x 1.80 = 36

Answer: 36 mg

Evaluate the expression when B = -4 and C = 6
C-8B

Answers

Start by plugging in the variable. I suggest putting the numbers in parenthesis to make sure you don’t miss any negatives.

(6) -8(-4)

-8*-4 = 32
6+32 = 38

Remember PEMDAA

Determine the domain and range of the function f(x) = â€""|x| 2. The domain of the function is. The range of the function is.

Answers

The domain of the function f(x)  =  |x|² is the set of all real numbers (-∞ < x < ∞)

The range of the function f(x)  =  |x|² is the set of all real numbers greater than or equal to zero ( f(x) ≥ 0)

The given function is:

f(x)  =  |x|²

This can also be expressed as:

f(x) = x²

This is because the square operator cancels the effect of the absolute value

The function f(x) = x² is valid for all real values of x. Therefore, the domain of the function f(x) is -∞ < x < ∞

The range of the function f(x) is all positive real numbers. This is because the square of all numbers gives a positive number.

Range = f(x) ≥ 0

Learn more here: https://brainly.com/question/25915612

Answer:

1. all the real numbers

2. all numbers less than or equal to 2.

Step-by-step explanation:

150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?

Answers

Answer:

150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?

Answer:

Less than 100?                                                  YES

Step-by-step explanation:

150% of 45 less than 100, greater than 100 but less than 150, or greater than 150?

"150% of 45 "

150% (45)

1.5*(45) = 67.5      

Less than 100?                                                  YES

Greater than 100 but less than 150               NO

Greater than 150?                                             NO

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