The perimeter (adding up all the sides) of a rectangular
piece of land is 42 meters. The length of the land can
be shown by (x + 4) and its width can be shown by
(2x – 7).
Solve for x, and then plug it back in to find the Length
and the Width of the land.
-7)

Answers

Answer 1

Answer:

x = 8

length is 12 meters

width is 9 meters

Step-by-step explanation:

P = 2l + 2w

where l is the length and w is the width.

(There are two sides with the same length, and two sides with the same width.)

Let l = x + 4 and w = 2x - 7

so 2(x+4) + 2(2x-7) = 42

Distribute the 2s

2x + 8 + 4x - 14 = 42

Combine like terms

2x + 4x + 8 - 14 = 42

Group

6x - 6 = 42

Add 6 to both sides

6x = 48

Divide 6 on both sides

x = 8

Plug back in

l = 8 + 4 = 12 meters

and w = 2(8) - 7 = 16 - 7 = 9 meters

Double-check: 2 * 12 + 2 * 9 = 24 + 18 = 42


Related Questions

what is -3 5/6x-4/7?

Answers

Answer:

35

x

6

4

7

35x   -   4

6            7

Step-by-step explanation:

I'm backk!! School has officially started... here we go again

+*♡ FREE QUESTION!! ♡*+

Answers

welcome back ________!!!

congrats? Im not sure what to say.

Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can she use to find g, the number of gallons of water she should add?


Original
(Gallons)
Added
(Gallons)
New
(Gallons)
Amount of Detergent
1.98
0

Amount of Solution
11
g


StartFraction 1.98 Over 11 + g EndFraction minus StartFraction 12 Over 100 EndFraction = 1
StartFraction 1.98 Over 11 + g EndFraction + StartFraction 12 Over 100 EndFraction = 1
StartFraction 11 + g Over 1.98 EndFraction = StartFraction 12 Over 100 EndFraction
StartFraction 1.98 Over 11 + g EndFraction = StartFraction 12 Over 100 EndFraction

Answers

Answer:

its A

Step-by-step explanation:

i took the quiz :)

Answer:

B on edge 2022

Step-by-step explanation:

ANSWER ASAP!!! BRAINLIEST AWARDED

It take 5 minutes to help a restock an area. How much areas can you restock in 50 minutes?

Answers

Answer:

10

Step-by-step explanation:

1:5

10:50

Answer:

10

Step-by-step explanation:

5 minutes = 1 area

→ Divide the 50 by the 5

50 ÷ 5 = 10

→ Multiply this by the area

10 × 1 = 10

Which of these are rational or irrational?

Answers

Answer:

Step-by-step explanation:

6.4 rationalwe don't know. It might repeat at some point.-2 rationalsqrt(16) = +/-4 which is rational.sqrt(12) is irrational. There's no pattern12/5 is rational 2.4we don't know. If it repeats then it is rational. The way it looks now, there's no pattern, so call it irrational.

Find the value of x and y​

Answers

(x/4, y/3+1)=(1/2, 5/3)

x/4=1/2
2x=4
x=2

y/3+1=5/3
y+3=5
y=2

(x, y)=(2, 2)

Hope my answer helped u :)

14.) Is 136 divisible by 5? yes O​

Answers

Answer:

The answer is no

Step-by-step explanation:

Is because if we divide 136 by 5 is gonna give us 27.2 and we don’t want the decimal. So we can’t divide 136 by 5. Another method is you can you at the last digit in this case is 6, six is not in the table of 5 so always the answer is going to be in decimal. 136[tex]:[/tex]5= 27.2

Can someone please help me!

Answers

Step-by-step explanation:

x1=6

y1=8

x2=1

y2=6

then ,

distance =

[tex] \sqrt{(6 - 1) {?}^{2} { + (8 - 6)}^{2} } \\ \sqrt{25 + [/tex]

A) A quadrilateral has two pairs of parallel sides and no right angles what two shapes could it be

B) A quadrilateral has one pair of parallel sides what shape could it be

Answers

Step-by-step explanation:

A. parallelogram & Rhombus

B. trapezium

the slop of the line shown below is 3/2 what is the value of a

Answers

Answer:

6, because the slope is equivalent to the value of a / 4. you see the run is 4, double of two, so the answer that makes sense is 6 as it is double of three.

2x(5-x)+3x^2
shown work please

Answers

[tex]\\ \rm\Rrightarrow 2x(5-x)+3x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x-2x^2+3x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x+(-2+3)x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x+x^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+10[/tex]

2x(5-x)+3x²
=x(2(5-x)+3x)
=x(10-2x+30x)
=x(10+x)

OR

2x(5-x)+3x²
=10x-2x²+3x²
=10x+x²

Hope my answer helped u :)

Please help asap for brainleist​

Answers

Answer:

54.25%

Step-by-step explanation:

The percent change is given by:

[tex]p=\frac{final-initial}{initial}[/tex] × [tex]100[/tex]

Plugging all the values,

[tex]p=\frac{94-43}{94}[/tex] × [tex]100[/tex]

[tex]P=54.25%[/tex]%

Therefore, the percent change from 94 to 43 is 54.25%

Reduce the fraction 21 /35

Answers

Answer:

3/5

Step-by-step explanation:

21/35

Divide both the top and bottom by 7

21/7 = 3

35/7 = 5

3/5

Answer:

3/5

Step-by-step explanation:

Find gcf for 21 and 35….7

Divide both by 7…. 3 and 5

Arrange 3 as numerator and 5 as denominator….3/5

Solve the equation 7 (x+3) = 72-4 how may solutions does it have​

Answers

Answer:

x = 47/7 or 6.714

Step-by-step explanation:

7 (x+3) = 72-4

7x + 21 = 68

7x = 68 - 21

7x = 47

x = 47/7 or 6.714

What’s -2 + -9 =
please help me because tomorrow i have a test in math class , about integers and someone please explain too me . thank you if anyone can help

Answers

Negative 2 plus Negative 9 is negative 11. You are adding to negative integers, therefore it will get less.

Answer:

-11

Step-by-step explanation:

-2+-9=

add like terms

-11

(a) Find the slope of the curve y= x^2 - 2x - 3 at the point ​P(2​,​ -3) by finding the limit of the secant slopes through point P.
(b) Find an equation of the tangent line to the curve at P(2, -3)

Answers

Answer:

Step-by-step explanation:

P=(2,-3)

Q=(a,a²-2a-3)

[tex]\Delta y=a^2-2a-3-(-3)=a^2-2a\\\Delta x=a-2\\\\\displaystyle \lim_{a \to 2} \dfrac{a^2-2a-3-(-3)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a^2-2a}{a-2} \\\\=\lim_{a \to 2} \dfrac{a(a-2)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a}{1} \\\\=\lim_{a \to 2} a \\\\=2\\[/tex]

Proof:

y'=(x²-2x-3)'=2x-2

y'(2)=2*2-2=2

the sum of three consecutive even integers is less than or equal to 42. find the largest set of these numbers

Answers

Answer:

13, 14, 15

Step-by-step explanation:

13 + 14 + 15 = 42

Better explanation:

n + (n+1) + (n+2) = 42

42 - 2 - 1 = 39

n + n + n = 39

3n = 39  divide by 3 to isolate n

n = 13

So it starts with 13 and goes up from there.

please help me with these questions I am begging anyone please help

(a)• production cost of a wooden cupboard is Rs.30,000.the manufacturer marked the price in order to obtain a 20% profit .if the payment is done outright 2% discount is given

questions


(1) what is the marked price of the cupboard?

(2) what is the outright price of the cupboard?

(3) find the price percentage gained by selling the cupboard for outright price ?

(b)• a furniture seller asks for 5% commission to sell 5 cupboard of Rs.35.000 each find the commission he receives



please help me ​

Answers

Answer:

1)rs.6000

Step-by-step explanation:

1)30 000*20/100=rs.6000

Sorry I don't know the answers for other questions cause I don't know outright price

Help plsssssssssssssssssss

Answers

1. 4/4 Equal to
2. 7/5 More than
3. 2/3Less than

If the number is less than a 1, it’s going to be less. If the number is greater than 1 it will be more. I’m this case, you can just look at what’s being multiple and apply that rule- so just excuse the 7/75.

Frances earns $9.25 an hour at his part-time job. Last week he worked 16 hours.
What was his gross pay for the week?

Answers

Answer:

$148

Step-by-step explanation:

$9.25 x 16 hours = $148

The answer will be £148

2/9+1/3 thx for helping I need ASAP

Answers

Step-by-step explanation:

[tex] \frac{2}{9} + \frac{1}{3} \\ by \: taking \: out \: the \: lcm \: of \: 9 \: and \: 3 \: \\ we \: get \: 9\: as \: lcm \\ now \\ \frac{2 \times 1 + 1 \times 3}{9} \\ \frac{2 + 3}{9} \\ \frac{5}{9} [/tex]

Solve the equation without using the Distributive Property.
8(x-3)= 16
x -3 =
please show an Example because Im lost... lol

Answers

8(x - 3) = 16

Distributive property says that,

a(b - c) = (a * b) - (a * c)

Using distributive property, you should multiply both the numbers or variables in the bracket.

Which is,

(8 * x) - (8 * 3) = 16

8x - 24 = 16

8x = 16 + 24

8x = 40

Taking 8 from 8x to the LHS from the RHS.

x = 40/8

hence, x = 5

Hope this helps. If you have any questions plz let me know.

an acute angle is an angle which is_______

Answers

Answer:

less then 90º

Step-by-step explanation:

an acute angle is an angle which is less then 90º

Less than a 90 degree angle

HELP WITH B, C, & D PLS: g(x) = 2x2 + 5x + 1, find: -3g(3)

Answers

B
Answer
24f+7g

Explanation

Multiply each number 4 time 6 equal 24 and 7 time one equal 7…

On Monday the price of gas is $3.50 on Tuesday the price drop my $.50 and I won’t say the price increase by $.65 or I am Santa edition equation to show final price of gas

Answers

If on Monday it is $3.50 and the price dropped down on Tuesday by $.50 It would be $3.00 if on Wednesday it increases by $.65 it would be $3.65

3. Identify the property of real numbers.
The cost of one item sold for $14.50 is $14.50.

Answers

Answer:

$14.50

Step-by-step explanation:

Is the answer because we don't put a decimmel pint after the number

The property of real numbers demonstrated in the given statement is the "Reflexive Property of Equality."

The Reflexive Property of Equality is one of the fundamental properties of real numbers, stating that any real number is always equal to itself. In mathematical terms, for any real number 'a,' the Reflexive Property is expressed as:

a = a

This property is self-evident, as it simply means that any quantity or value is identical to itself. In the provided statement, the cost of one item sold for $14.50 is precisely $14.50, showing that the item's cost is equal to itself.

To further illustrate this concept, consider any real number 'x.' According to the Reflexive Property, we have:

x = x

This applies to all real numbers, whether they are whole numbers, decimals, fractions, negative numbers, or irrational numbers. For example:

1 = 1

5.3 = 5.3

-2 = -2

π = π (pi)

No matter what value 'x' represents, the Reflexive Property holds true for all real numbers. It is a fundamental principle that underpins many mathematical operations and proofs.

In summary, the Reflexive Property of Equality states that any real number is equal to itself. The given statement, "The cost of one item sold for $14.50 is $14.50," exemplifies this property, showing that $14.50 is indeed equal to $14.50, thus reaffirming the reflexive nature of real numbers.

To know more about Property here

https://brainly.com/question/29030415

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5(n-7)=2(n+14) with steps

Answers

Answer:n =21

Step-by-step explanation:

find the value of X ?​

Answers

Step-by-step explanation:

[tex]thank \: you[/tex]

ANSWER:
x=30°

EXPLANATION:
the line adds up to 180. subtract 90 and 60 from 180 to get 30.

In the similarity
transformation of AACB
to AEFD, AACB was dilated by
a scale factor of [?], reflected
across the [ ], and moved
through the translation [ ].
HELP HELP HELO NOW NOW PLEASE ILL GIVE BRAINLEISTETWBEBEJHEUEJ

Answers

Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units

What is graph transformation?

The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.

Graphs can be extended, rotated, inverted, or any combination of these transformations; they can also be translated or moved along the xyxy plane. The formulas "move the function f(x)f(x) by cc units in some direction," "stretch the function f(x)f(x) by cc units," and "rotate the function f(x)f(x) by xx units about the xx-, yy-, or zz-axis" are frequently used in mathematical issues. In every instance, the transformation has specific, calculable effects on the underlying function.

Since the triangle ABC and DEF is similar

So we can write,

DE/BC=EF/AB=FD/CA

scale factor =Length of CA/length of DF

                     =6/3

                      =2:1

Reflected at y axis i.e x=0

and raised by 2 units.

Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units

Learn more about graph transformation,

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s = n(a+1) for a

please answer asap

Answers

Step-by-step explanation:

for a=

[tex] \frac{s - n}{n} [/tex]

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