If a rectangle has an area of 2x^2+7x+3 find the perimeter

Answer:

On the blueprint the dimensions are 48 inches by 64 inches.

Step-by-step explanation:

Given:

The scale on blueprint was 1/4 inch = 1 foot.

The actual dimensions of her bedroom are 12 feet by 16 feet.

Now, to find the dimensions on the blueprint.

Let the dimensions on the blueprint be [tex]x[/tex] by [tex]y.[/tex]

As, given the scale on blueprint:

[tex]\frac{1}{4}\ inch=1\ foot[/tex]

So, [tex]\frac{1}{4}\ inch[/tex]  is equivalent to 1 foot.

Thus, [tex]x[/tex] is equivalent to 12 feet.

And, [tex]y[/tex] is equivalent to 16 feet.

Now, solving by cross multiplication method:

[tex]\frac{\frac{1}{4}}{1} = \frac{x}{12}[/tex]

[tex]\frac{4}{1} =\frac{x}{12}[/tex]

By cross multiplying we get:

[tex]48=x[/tex]

[tex]x=48\ inches.[/tex]

Now, again:

[tex]\frac{\frac{1}{4}}{1} =\frac{y}{16}[/tex]

[tex]\frac{4}{1} =\frac{y}{16}[/tex]

By cross multiplying we get:

[tex]64=y[/tex]

[tex]y=64\ inches.[/tex]

Therefore, on the blueprint the dimensions are 48 inches by 64 inches.

Answer:

Step-by-step explanation:

48 and 64

Answer:

at least two congruent sides

Step-by-step explanation:

give brainliest plz

Answer:

15.89

Step-by-step explanation:

You would divide 149 by 9 and get 15.88.However this 8 will keep repeating so you have to round it up.

Addition of 6q + 1 and q + 11 is 7q + 12

Solution:

Given that, we have to add the given two expressions

Given expressions are:

6q + 1 and q + 11

We have to add both the expressions

Addition of 6q + 1 and q + 11 = 6q + 1 + q + 11

Add the coefficients of same variable. Here "q" is present in two terms

Therefore, add 6q and q

Similarly, add the constants 1 and 11

Thus finally addition is done as:

[tex]6q + 1 + q + 11 = 7q +12[/tex]

Thus addition of 6q + 1 and q + 11 is 7q + 12

Answer:

x=0

Step-by-step explanation:

-2x+9=9

-2x=9-9

-2x=0

x=0/-2

x=0

The lengths of the sides of the triangle are 6 m, 6 m, and 8 m.

The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.

Let the length of the first side and 2nd side are x,

Two sides of a triangle have the same length.

The third side measures 4 m less than twice the common length.

So the length of the third side = 2x - 4

Given that the perimeter of a triangle is 20 m

Since the perimeter of a triangle is the addition of the lengths of the triangle's three sides.

So the perimeter of a triangle = sum of all sides

⇒ x + x + 2x - 4 = 20

⇒ 4x = 24

⇒ x = 6

So the length of the third side = 2(6) - 4 = 8

Hence, the lengths of the sides of the triangle are 6 m, 6 m, and 8 m.

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Final answer:

To find the lengths of the triangle's sides, we establish a variable x for the two identical sides. The equation 4x - 4 = 20 is solved to give x = 6. Thus, the triangle has sides of 6 meters, 6 meters, and 8 meters.

Explanation:

The question is asking to determine the lengths of the three sides of a triangle when two of the sides have the same length, and the third side is 4 meters shorter than twice the length of the other two sides. Additionally, it is given that the perimeter of the triangle is 20 meters.

Let's denote the common length of the two sides as x meters. Hence, the length of the third side would be 2x - 4 meters. Since the perimeter of the triangle is the sum of its sides, we have the following equation:

x + x + (2x - 4) = 20

This simplifies to:

4x - 4 = 20

Adding 4 to both sides gives:

4x = 24

Dividing by 4 gives:

x = 6

Therefore, the lengths of the two identical sides of the triangle are 6 meters each, and the length of the third side is 2(6) - 4 = 8 meters.

Final answer:

The additive inverse of – 4 is 4 because when – 4 is added to 4, the result is 0. This demonstrates the concept of additive inverses in algebra, where each number has a counterpart that sums to zero.

Explanation:

The question is asking to find the additive inverse or opposite of – 4. The additive inverse of a number is the number that, when added to the original number, results in a sum of zero. This is a fundamental concept in algebra and mathematics in general. To find the additive inverse of – 4, you simply need to find a number that, when added to – 4, equals 0.

The additive inverse of – 4 is 4. This is because – 4 + 4 = 0. When you add – 4 and its additive inverse together, their sum is 0, which means 4 is the correct answer. The concept of the additive inverse is crucial in equations solving and other algebraic manipulations, assisting in understanding how to balance equations and solve for unknowns.

Answer:

x = 76°

Step-by-step explanation:

At point I

to get angle JID

angle JID + 107° = 180°. (angle on a straight line)

angle JID = 180° - 107°

angle JID = 73°

for Triangle JiD

angle DJI + 31° + 73° = 180° (Sum of angles in a triangle)

angle DJI = 180 - 104 = 76°

angle FJI = 31 + 73 =104°. ( Sum of two interior angles in a triangle is equal to one exterior angle)

Hence,

x° + 104° = 180° (angle on a straight line)

x = 76°

Answer:

Based on the answers I can see, it'd be all of them.

Step-by-step explanation:

When rounding to the nearest hundred, you round down if the tens are 49 or smaller (e.g. 401 to 400). If the tens are 50 or bigger, you round up (e.g. 351 to 400). I hope that helps you.

Answer:

Step-by-step explanation:

first shape = 2 pieces

Second shape 12 pieces

Answer:

First Scenario-

2 of the first ones

2 of the third ones

1 of the 5th ones

2 scenario-

2 of the 4th ones

Step-by-step explanation:

i got it right

Answer:

The numbers are 32 , 48

Step-by-step explanation:

Average = 40

Sum of two numbers = 40 * 2 = 80

Let one number =x

Other number = 80 - x

Product of two numbers = GCD * LCM

x*(80-x) = 16*96

80x - x² = 1536

1536 + x² - 80x = 0

x² - 80x + 1536 = 0

x² - 48x - 32x + (-32) * (-48) = 0

x (x -48x) -32 (x -48) =0

(x - 48) ( x - 32) = 0

x - 48 = 0    ; x - 32 = 0

x = 48          ; x = 32

Answer:

side WA

Step-by-step explanation:

i put sw which was wrong its (side WA) 100% ☺☺☺

After 4 weeks, Macy and Robby will have same amount in their accounts.

Step-by-step explanation:

Given,

Amount saved by Macy each week = $12.50

Let,

x be the number of weeks.

M(x) = 12.50x

Amount saved by Robby each week = $7.50

Amount Robby already have = $20

R(x) = 7.50x + 20

For same amount;

M(x) = R(x)

[tex]12.50x=7.50x+20\\12.50x-7.50x=20\\5x=20[/tex]

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{20}{5}\\x=4[/tex]

After 4 weeks, Macy and Robby will have same amount in their accounts.

Keywords: function, division

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After 4weeks, Macy and Robby will have the same amount in their bank accounts.

To determine after how many weeks Macy and Robby will have the same amount in their bank accounts, we can set up an equation based on their weekly savings and initial amounts.

Let M(t) represent Macy's savings after  t weeks, and R(t) represent Robby's savings after t weeks.

Macy's savings can be expressed as:

M(t) = 12.50t

Robby's saving can be expressed as:

R(t) = 20 + 7.50t

We want to find the number of weeks t such that  M(t) = R(t)

Setting up the equation:

12.50t = 20 + 7.50t

To solve for t, first subtract  7.50t from both sides:

12.50t - 7.50t = 20

5t = 20

Next, divide both sides by 5 to solve for t

[tex]\[ t = \frac{20}{5} \][/tex]

t = 4

Therefore, after 4weeks, Macy and Robby will have the same amount in their bank accounts.

Answer:

Answer: $67.50

Step-by-step explanation:

Apply the product rule by raising each term by the power outside powers.

Then divide and simplify to get the second choice:

Answer:

48 is 60% of 80.

Answer:

60%

Step-by-step explanation:

48: 80*100 =

(48*100) :80 =

4800:80 = 60

Answer:

  A.)  zero

Step-by-step explanation:

A graph shows the two lines are parallel. Each has a slope of 3. Line A has a y-intercept of +2; Line B has a y-intercept of -2.

There are zero points of intersection.

The equation of g(x) is g(x) = 6x + 11

Step-by-step explanation:

Let us revise some transformation

∵ f(x) = 2x + 5

∵ The graph of f(x) is stretched vertically by scale factor 3

- That means multiply f(x) by 3

∴ The equation of the new graph is 3(2x + 5)

∵ The new graph is translated 4 units down

- That means subtract 4 from 3(2x + 5)

∴ The equation of g(x) is g(x) = 3(2x + 5) - 4

- Simplify the equation of g(x)

∴ g(x) = 3(2x) + 3(5) - 4

∴ g(x) = 6x + 15 - 4

- Add the like terms in the right hand side

∴ g(x) = 6x + 11

The equation of g(x) is g(x) = 6x + 11

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Answer: OPTION C.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

[tex]y=mx+b[/tex]

Whrere "m" is the slope and "b" is the y-intercept.

The line intersects the y-axis when [tex]x=0[/tex], therefore, you can identify from the given table that "b" is:

[tex]b=3[/tex]

Now, in order to find the slope of that line, you can follow these steps:

1. Substitute the value of "b" and the coordinates of any point from the table and into  [tex]y=mx+b[/tex]

2. Solve for "m".

Then, choosing the point (1,1), you get:

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

Therefore, you can determine that the equation of that line in Slope-Intercept form, is:

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

its c are you already dead??

Answer:

y=3 x -4

Step-by-step explanation:

yes

what does it ask for?

Answer: You might have messed up the question

Here is the answer based on your question

W (Bottled water) = 7/2$

N (Cheese Nachos) = -1/2$

Step-by-step explanation:

2W + 3N = $5.50

3W + 2N = $9.50

Find the common number and subtract them. In order to find isolate the water bottles or nachos. I will do water bottles

15 (2W + 3N = $5.50)

10 (3W + 2N = $9.50)

30w + 45N = $82.5

Minus

30W + 20N = $90

= 25N = -12.5

N = -1/2$

Substitute for N

3W + 2(-1/2) =9.5

3w -1 = 9.5

3w - 10.5

w = 7/2$

Answer:

[tex]Width = 2\frac{1}{4}cm[/tex]

[tex]Length=5\frac{5}{12} cm[/tex]

Step-by-step explanation:

Data from the question;

Perimeter of a rectangle is [tex]15\frac{1}{3}[/tex] cm

Length is [tex]3\frac{1}{6}[/tex] cm longer than the width

We are supposed to determine the length and the with of the rectangle;

Assuming, the width x cm

Then, the length is [tex]x+3\frac{1}{6}[/tex] cm

We need to know that the perimeter of a rectangle is given by;

Perimeter = 2 ( length + width)

Therefore;

[tex]15\frac{1}{3}= 2 ( x + (x+3\frac{1}{6}))[/tex]

[tex]15\frac{1}{3}=2(2x+3\frac{1}{6})[/tex]

Thus;

[tex]15\frac{1}{3}=4x+6\frac{1}{3}[/tex]

[tex]4x=9\\x=2\frac{1}{4}[/tex]

Therefore;

[tex]Width = 2\frac{1}{4}cm[/tex]

[tex]Length = x + 3\frac{1}{6}[/tex]

           [tex]=2\frac{1}{4}+3\frac{1}{6}[/tex]

            [tex]=5\frac{5}{12} cm[/tex]

Therefore; the length is [tex]5\frac{5}{12}[/tex] cm while the width is [tex]2\frac{1}{4}[/tex] cm

Answer:

money spent = number of people *  price of 1 ticket  (direst variation)

 28               = 4 *  price of a ticket

so price of one ticket = 28/4 =  7

Constant of variation is 7

we might write it as m = 7n

Step-by-step explanation:

3/10 = 30/100 after multiplying top and bottom by 10

so we have 30/100 + 62/100 = (30+62)/100 = 92/100

Reduce this fraction

92/100 = (23*4)/(25*4) = 23/25

Therefore, 3/10+62/100 = 23/25

The value of [tex]sin100.sin120.sin140.sin160[/tex] is [tex]0.1875[/tex]

Step-by-step explanation:

To find the value of [tex]sin100.sin120.sin140.sin160[/tex], let us find the value of each angle.

The value of [tex]sin100=0.9848[/tex]

The value of [tex]sin120=\frac{\sqrt{3} }{2}[/tex]

The value of [tex]sin140=0.6428[/tex]

The value of [tex]sin160=0.3420[/tex]

Substituting the values of sin, we get,

[tex]sin100.sin120.sin140.sin160=0.9848*\frac{\sqrt{3} }{2} *0.6428*0.3420[/tex]

Multiplying the values of sin, we get,

[tex]sin100.sin120.sin140.sin160=0.1875[/tex]

Thus, the value of [tex]sin100.sin120.sin140.sin160[/tex] is [tex]0.1875[/tex]

Answer:

Step-by-step explanation:

[tex]a \times b = 0.24\\b = \frac{0.24}{a} or, a = \frac{0.24}{b}[/tex].

In the above equation the proper values can not be found only when the denominator will be 0.

As for example, if a = 2, then b = 0.12.

If a = 0.12, then b = 2.

If a = 1, b = 0.24 or b = 1, a = 0.24.

Thus, a or b can be any real number rather than 0.

Ratio is a comparison of two values or two quantities.

Fraction is a another form of ratio.

The first term and the second term in the ratios are important.

It should not be changed.

The first quantity value is in first term and the second quantity value is in second term of the ratio.

Ratio and fractions are same.

Example:

The ratio of male to female in the school is 5 : 6.

5 represents male students and 6 represents female students.

The fraction form of the above ratio is [tex]\frac{5}{6} .[/tex]

Answer:

x is 1 or -7

Step-by-step explanation:

x^2-7x+6=0 //we must find two numbers with multiple as -7 and sum as +6. numbers are -1 and 7.

(x-1)(x+7)=0

x-1=0 -»x=1

x+7=0 -»x= -7