The width of a rectangle is 5 cm less than the length. The perimeter is 38 cm. Find the dimensions of the rectangle

Answers

Answer 1

Answer:

Step-by-step explanation:

38=2(5)+2(x ) find X  

2x5-10

38-10=28

28/2=14  

14/2=7

x =7

so you length is 7

Answer 2

The dimensions of the rectangle are length = 12 cm and width = 7 cm by solving equations of given the width of a rectangle is 5 cm less than the length and the perimeter is 38 cm.

Let's represent the length of the rectangle as "L" and the width as "W".

According to the given information:

The width is 5 cm less than the length, so we can write W = L - 5.

The perimeter of a rectangle is given by the formula P = 2(L + W),

where P is the perimeter, L is the length, and W is the width.

In this case, the perimeter is 38 cm, so we have

38 = 2(L + W).

Now we can use these equations to find the dimensions of the rectangle.

Substitute the value of W from the first equation into the second equation:

38 = 2(L + (L - 5))

Simplify the equation:

38 = 2(2L - 5)

38 = 4L - 10

Add 10 to both sides:

48 = 4L

Divide both sides by 4:

L = 12

Now we can substitute the value of L into the first equation to find the width:

W = L - 5

W = 12 - 5

W = 7

Therefore, the dimensions of the rectangle are length = 12 cm and width = 7 cm by solving equations of given the width of a rectangle is 5 cm less than the length and the perimeter is 38 cm.

Learn more about solving equations here:

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Related Questions

What is the slope of the line described by the equation below y = -6x + 3

Answers

Answer:

slope = - 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 6x + 3 ← is in slope- intercept form

with slope m = - 6

Answer: -6

Step-by-step explanation:

Ap3x

What are the solutions to the quadratic equation 6x2 + 24x = 0?
X = 0 and x = 4
x = 0 and x = -4
x = 6 and x = 4
x = 6 and x = -4

Answers

X=0 and x=-4 is the answer.

6(0)^2=0+24(0)=0

(6(-4)^2= 96) + (24(-4)=-96)=0.

Hope this helps and hope you have a great day and brainiest is always appreciated

Answer:

Solutions are x =0 and x= -4

Second option is correct.

Step-by-step explanation:

The given quadratic equation is [tex]6x^2+24x=0[/tex]

Factored out GCF

[tex]6x(x+4)=0[/tex]

Apply the Zero product property

[tex]6x=0,x+4=0[/tex]

Solve for x

[tex]x=0,x=-4[/tex]

Therefore, the solutions are x =0 and x= -4

Second option is correct.

Solve for x in the equation ? 2x^2 +3 x-7 =x^2 +5x +39

Answers

Answer:

1 ± √47

Step-by-step explanation:

Combine like terms in 2x^2 +3 x-7 =x^2 +5x +39:

2x^2 - x^2 = x^2 (first term);

3x - 5x = -2x (second term);

-7 - 39 = -46 (third term)

Then we have, all on the left side, x^2 - 2x - 46, which is a quadratic equation.  Here the coefficients are a = 1, b = -2 and c = -46.

Then the discriminant, b^2 - 4ac, is:

(-2)^2 - 4(1)(-46) = 4 + 184.

The roots are:

     -(-2) ±√188         2 ± √4√47

    ------------------- = -------------------

              2                         2

                             = 1 ± √47 (last of the answer choices)

=

x = ------------------

Factorise:-
x^3 - 6x^2 + 11x - 6

Answers

Answer:

(x - 1)(x - 2)(x - 3)

Step-by-step explanation:

Note the sum of the coefficients

1 - 6 + 11 - 6 = 0

hence x = 1 is a root and (x - 1) is a factor

dividing x³ - 6x² + 11x - 6 by (x - 1) gives

(x - 1)(x² - 5x + 6)

To factor the quadratic

Consider the factors of + 6 which sum to give - 5

The factors are - 2 and - 3, since

- 2 × - 3 = 6 and - 2 - 3 = - 5, hence

x² - 5x + 6 = (x - 2)(x - 3) and

x³ - 6x² + 11x - 6 = (x - 1)(x - 2)(x - 3)

Answer:

(x - 1)(x - 2)(x - 3).

Step-by-step explanation:

f(x) = x^3 - 6x^2 + 11x - 6

f(1) = 1 - 6 + 11 - 6 = 12 - 12

= 0 so by the Factor Theorem (x - 1) is a factor.

Also, by the Rational Root theorem, as the last term is -6 and the leading coefficient is 1  some of -1, 2,-2, 3 -3, 6,-6  might be zeroes of the function.

f(-1) = -1 + 6 - 11 - 6 = -12 so  -1 is not a zero and (x+ 1) is not a factor.

f(2) = 8 - 24 +22 - 6

= 30 - 30 = 0  so (x - 2) is also a factor)

Since the last term is -6 the last  factor must be  (x - 3)

=Checking:  f(3) = 27 -6(9) + 33 - 6

= 27 - 54 + 33 - 6

= 60-60 = 0.

So the factors are (x - 1)(x - 2)(x - 3).

A bakery bakes 6 batches of cookies every morning . Each batch contains the same amount of cookies. A total of 144 cookies are baked every morning. The first 4 batches of cookies are chocolate chips cookies and the last 2 are macadamia. 5/6 of the first 4 batches are sold by the end of the day. 1/2 of the last two batches are sold by the end of the day. How many chocolate chips cookies remain at the end of the day?

Answers

Answer:

16 remain

Step-by-step explanation:

144 divided by 6 = 24

24 in each batch

24 x 4 = 96

96 cookies in 4 batches

5/6 of 96 = 80

96-80=16

Answer:

16 chocolate cookies was left.

Step-by-step explanation:

Well first 144/6=24 and 24x4=96; 24x2=48. So 96x0.833333333=16.

Mode is used to ascertain what the most repeated data is in the data set.
True or False

Answers

The mode is the most frequently occurring value in a data set and is used to find the most repeated data. A data set can be bimodal if it has two modes. So the statement is true.

The statement is true: the mode is used to ascertain the most repeated data in the data set. It is a measure of central tendency that represents the value that occurs most frequently within a set of numbers. If a data set has two modes, it is referred to as bimodal. The mode can be especially useful for understanding the distribution of qualitative or categorical data.

Help Please!!!!!!!!!!

Answers

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]x+3y\leq 6[/tex]

Isolate the variable y

[tex]3y\leq 6-x[/tex]

[tex]y\leq 2-(1/3)x[/tex]

The solution is the shaded area below the solid line

Is below because the symbol of the inequality is less

Is a solid line because the line is included in the solution

The equation of the solid line is [tex]y=2-(1/3)x[/tex]

To graph the solution find the intercepts

Find the x-intercept (value of x when the value of y is equal to zero)

For y=0, x=6 --------> point (6,0)

Find the y-intercept (value of y when the value of x is equal to zero)

For x=0, y=2 -------> point (0,2)

Graph the inequality

see the attached figure

B = 7, a + b = 8, a+7 = 8 is an example of which property?

Multiplication property of equality

Addition property of equality

Subtraction property of equality

Division property of equality

Reflexive

Substitution

Distributive

Symmetric

Transitive



Answers

the answer is the substitution property

Answer:

The answer on edge is

A. the addition property of equality

D. the substitution property of equality

Step-by-step explanation:

cause its the answer

find the third quartile using the box plot shown. A=42. B= 45 C=38. D=48

Answers

Answer:

The correct answer is B.

Which of the following are true statements about a regular polygon? Check all that apply.

Answers

The correct statements about any regular polygon are:

A. It is convex.D. Its sides are line segments.E. All of its sides are congruent.F. All of its angles are congruent.

What is true about the regular polygon

A regular polygon is convex, meaning all its interior angles are less than 180 degrees.

Its sides are straight line segments.

In a regular polygon, all sides are of equal length (congruent).

Regular polygons have congruent interior angles, meaning all angles within the polygon are equal in measure.

When planning her crops, Farmer Sue knows that her 15 acres can support apples and pecans. She wants to make $8,500 from her crops. She can make $1,050 per acre of apples (the variable a) and $2,500 per acre of pecans (the variable p). Which equation below would be a constraint in her system of equations? (1 point)

Answers

Answer:

A+P=15 or B

Step-by-step explanation:

Trust me u son of a gun. Alexa, play the one song with those guys in paris

Only number 10............

Answers

Answer: F. The Theoretical Probability is Greater than the Experimental Probability.

Step-by-step explanation: Theoretical probability gives you the odds of every outcome. With flipping a coin, the outcome odds of tails would always be 1/2. Experimental probability is the actual outcome that results from trials. During trials, tails was flipped 8 times. We can simplify 8/20 flips to find that tails was flipped 2/5 flips. In decimal form, 1/2 simbolizes .5 or 50%. 2/5 simbolizes .4 or 40%. The theoretical probability is greater than the experimental probability.

Need help please answer this question

Answers

Answer:

C

Step-by-step explanation:

Substitute the given values for x and y into the expression

5 × ([tex]\frac{60}{6(5)}[/tex]) - 1

= 5 × ([tex]\frac{60}{30}[/tex]) - 1

= (5 × 2)  - 1

= 10 - 1

= 9 → C

The SI prefix hecto- is used to designate what value of any unit?

A. 10 × 102
B. 10–5
C. 102
D. 106

Answers

Answer:

optioc C [tex]10^{2}[/tex]

Step-by-step explanation:

we know that

Hecto (h) is a decimal unit prefix in the metric system denoting a factor of one hundred

so

[tex]h=100=10^{2}[/tex]

Katrina earns $9.25 per hour plus a 12% commission on any sales she makes. In one day, she worked for 11 hours, and she made $385 in sales. About how much money did Katrina earn that day?

Answers

Katrina earned approximately $147.95 that day.

To calculate how much money Katrina earned in one day, we need to take into account her hourly wage as well as her commission from sales. The first part is straightforward: She works 11 hours at an hourly rate of $9.25. To find this portion of her earnings, we multiply the number of hours by her hourly rate:

11 hours * $9.25 per hour = $101.75

Next, we calculate the commission from her sales. Katrina made $385 in sales and gets a 12% commission on these sales:

12% of $385 = 0.12 * $385 = $46.20

To find Katrina's total earnings for the day, we add her hourly earnings to her commission earnings:

$101.75 (hourly earnings) + $46.20 (commission) = $147.95

Therefore, Katrina earned approximately $147.95 that day

The least common denominator of 1/2, 1/8, and 1/10 is
A. 10.
B. 40.
C. 16.
D. 80.

Answers

the answer would be B

Answer: Option B.

Step-by-step explanation:

Descompose the denominator of each fraction into its corresponding prime factors. Then:

[tex]2=2*1\\8=2*2*2=2^3\\10=2*5[/tex]

Now you need to choose the commons a non-commons with the highest exponent. These are: 2³, 1 and 5.

Finally you need to multiply them to get that the Least common denominator of [tex]\frac{1}{2},\ \frac{1}{8}\ and\ \frac{1}{10}[/tex] is. Therefore, this is:

[tex]LCD=2^3*1*5\\LCD=40[/tex]

This matches with the option B.

Brett rolls a number cube labeled from 1 to 6 and tosses a penny at the same time. What is the probability that he will roll an even number and toss heads?

Answers

Answer:

1/4

Step-by-step explanation:

We are informed that a cube labeled from 1 to 6 is rolled. The numbers on the faces of the cube are;

1, 2, 3, 4, 5, 6

The probability of rolling an even number is;

(total number of faces with even numbers) / (total number of faces)

The even numbers are;

2, 4, 6

The probability of rolling an even number is thus;

3/6 = 1/2

If a penny is tossed, the probability of landing heads is simply;

1/2

This is because there are only two possible outcomes; heads or tails with equal probability assuming the penny is fair.

now, the probability that he will roll an even number and toss heads is;

1/2 * 1/2 = 1/4

we simply find the product of the probabilities of the individual events since they are independent.

help me thx if u help me

Answers

The last option is the answer. x> -4

because as we can see from the number line x is larger than -4 and the dot on the -4 is not filled in so that mean that -4 is not included.

hence the answer is x> -4

there are two trianagles triangle a has a base of 8 cm and a height of 10 cm triangle b has a base of 5 cm and a height of 13 cm which triangle has a larger area

Answers

Answer:

Step-by-step explanation:

Since angle A is 36°, then angle B is 90° − 36° = 54°.

To find an unknown side, say a, proceed as follows:

1.   Make the unknown side the numerator of a fraction, and make the known side the denominator.

Unknown

Known  =   a

10

2.   Name that function of the angle.

Unknown

Known  =   a

10  = sin 36°

3.   Use the trigonometric Table to evaluate that function.

Unknown

Known  =   a

10  = sin 36° = .588

4.   Solve for the unknown side.

a = 10 × .588 cm = 5.88 cm

Answer:

Triangle a is larger than triangle b

Step-by-step explanation:

Triangle a

8x10=80

80 divided by 2=40

Triangle b

5x13=65

65 divided by 2=32.5

80 > 32.5

Can I pls have brainliest?

Help on this question. This is on Khan Academy ​

Answers

Answer:None of the above it would have to be that's what he pays in 9 months

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Akash is paying $79.99 each month for 3 months.  239.97 is the result of that, so there would be 239.97 less in his checking account.  

HELP IMPORTAINT!! Part A and B quick!!!​

Answers

Answer:

Part A, the chances of hitting the black circle are closer to zero than 1. Reason: the black circle has an area of around 3.14 while the white has 10^2-3.14 (area of circle = πr^2). Part B, the chances of hitting the white are closer to one than zero as they are 100-3.14= around 96.86

Step-by-step explanation:

Loook up

Jim’s work evaluating 2(3/5)^3 is shown below.

2(3/5)^3 = 2(3^3/5)
=2(3*3*3/5)
=2(27/5)
= 54/5

Which statement best describe Jim’s first error?

a: He did not multiply 3/5 by 2 before applying the power.
b: He did not apply the power to the denominator of 3/5
c: He did not evaluate 3^3 correctly.
d: He did not multiply 27/5 by 2 correctly.

Answers

Answer:

Option b.

Step-by-step explanation:

we have

[tex]2(\frac{3}{5})^{3}[/tex]

Evaluate

[tex]2(\frac{3}{5})^{3}=2(\frac{3^{3}}{5^{3}})\\ \\=2(\frac{27}{125})\\ \\=\frac{54}{125}[/tex]

therefore

He did not apply the power to the denominator of 3/5

Find the total monthly cost for this plan to buy.

Loan Rate Insurance Repairs Gas Extra Miles Misc. Total Cost
$670.60 $200.00 warranty $82.00 $100.00 $62.50

Answers

Answer:

maybe this Total cost

=383.17+200+82+300+62.50

=1,027.67

Step-by-step explanation:

Answer:

$1115.10

Step-by-step explanation:

Total cost  will be the sum of all individual expenses i.e.

[tex]670.60 + 200.00 + 82.00 + 100.00 + 62.50 = 1115.10[/tex]

∴ The total cost will be $1115.10

Solve for the variable: 3.5x=32.2
What’s the variable?

Answers

Answer:

The variable is x.

The value of the variable is 9.2.

Step-by-step explanation:

The equation shows the variable x multiplied by 3.5 with the result of that multiplication being 32.2. In order to solve for x, you must "undo" that multiplication.

The definitions of the multiplicative inverse and of the multiplication identity element tell you how to do that. The multiplicative inverse of a number is its reciprocal: the multiplicative inverse of 3.5 is 1/3.5. Multiplying a number by its multiplicative inverse gives a result of 1. Here, that means ...

3.5 × (1/3.5) = 1

The property of the multiplicative identity element (1) is that anything multiplied by that is just that thing:

x · 1 = x

So, to solve this equation, you multiply both sides by the multiplicative inverse of 3.5:

3.5x = 32.2

(1/3.5)(3.5)x = (1/3.5)(32)

1x = 9.2 . . . . . carry out the multiplication

x = 9.2 . . . . . . recognize 1x = x

___

You will recognize that multiplying by 1/3.5 is the same as dividing by 3.5. In other words, we solve this equation by dividing it by the coefficient of x.

Answer:

The variable is x and x is equal to 9.2

Step-by-step explanation:

Keep in mind that a variable is a symbol put in place to represent an unknown value. In this case, our variable is "x."

In order to solve for x, we must isolate it. We can do this by dividing both sides of the equal sign by 3.5

3.5x ÷ 3.5 = 32.2 ÷ 3.5

Simplify.

x = 9.2

Which value of x is in the solution set of 2x-3>11-5x

Answers

7x>14,x=2። is right answer i think

7x>14,x=2። is right answer i think

Answer:

Value of x > 2 is in the solution set of 2x-3>11-5x which means the value of x can be any value greater than 2.

Step-by-step explanation:

We need to find the value of x for the equation 2x-3>11-5x

2x-3>11-5x

Adding +5x on both sides:

2x+5x-3>11-5x+5x

7x-3>11

Adding +3 on both sides

7x-3+3>11+3

7x>14

Dividing by 7 on both sides:

7x/7>14/7

x>2

Value of x > 2 is in the solution set of 2x-3>11-5x which means the value of x can be any value greater than 2.

Which of these functions is a linear function? y + x = 5 y + x2 = -2 y = 2x3 + 1 3x2 + y2 = -4

Answers

Answer: First Option

[tex]y + x = 5[/tex]

Step-by-step explanation:

The linear functions have the following form

[tex]ax ^ n + bx ^ m = c[/tex]

Where a and b are constants and are real numbers and the exponent n and m is always equal to 1.

[tex]m=n=1[/tex]

In other words, the linear equations have the form

[tex]ax + by = c[/tex]

Identify among the options the functions that have this form

[tex]y + x = 5[/tex] is a linear function with [tex]a = 1[/tex], [tex]b = 1[/tex], [tex]c = 5[/tex]  and  [tex]m=n=1[/tex]

[tex]y + x^2 = -2[/tex] is not a linear function because [tex]n\neq 1[/tex].

[tex]y = 2x^3 + 1[/tex] is not a linear function because [tex]n\neq 1[/tex]

[tex]3x^2 + y^2 = -4[/tex] is not a linear function because [tex]n\neq 1[/tex] and [tex]m\neq 1[/tex]

Answer:

y + x = 5

Step-by-step explanation:

The graph of [tex]y+x=5[/tex] is a straight line

The graph of [tex]y+x^2=-2[/tex] is a parabola.

The graph of [tex]y=2x^3+1[/tex] is a non-linear curve.

The graph of

[tex]3x^2+y^2=-4[/tex] is an ellipse.

A graph of a linear function  is a straight line.

Therefore y + x = 5 is the correct choice.

Express the square root of -80 in its simplest terms.

A- cannot be determined
B- 8i sqrt 10
C- 4i sqrt 5
D- 2i sqrt 20

Answers

Answer:

C

Step-by-step explanation:

noting that [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{-80}[/tex]

= [tex]\sqrt{16(-1)(5)}[/tex]

= [tex]\sqrt{16}[/tex] × [tex]\sqrt{-1}[/tex] × [tex]\sqrt{5}[/tex]

= 4i[tex]\sqrt{5}[/tex] → C

The square root of -80, expressed in simplest terms, is 4i sqrt 5, where 'i' is the imaginary unit.So,option C is correct.

To express the square root of -80 in its simplest terms, we need to use the imaginary unit i, which is defined as the square root of -1. We can rewrite -80 as -1  imes 80, and thus the square root of -80 as the square root of -1 times the square root of 80. We know that the square root of -1 is i, and the square root of 80 can be simplified to the square root of 16 times the square root of 5, which is 4 times the square root of 5. Combining these, we get:
√-80 = √(-1 times 80)
      = √-1 times √80
      = i times 4√5
      = 4i√5.

The correct answer is C- 4i sqrt 5.

Find the value of h for the parallelogram

Answers

Answer:

h = 5.488 in

Explanation:

Area of a parallelogram is calculated as follows:

Area = base * height

In the given parallelogram, we can note that the base is 9.8 in and the corresponding height is 5.6 in

This means that:

Area of parallelogram = 9.8 * 5.6 = 54.88 in²

This same area can be calculated using the other base (10 in) and its corresponding height (h)

This means that:

Area of parallelogram = 10 * h

54.88 = 10 * h

h = 5.488 in

Hope this helps :)

Determine whether the two figures are similar. If so, give the similarity ratio of the smaller figure to the larger figure

Answers

Answer:

yes 1 : 8

Step-by-step explanation:

To determine if the figures are similar calculate the ratio of corresponding sides.

[tex]\frac{24}{3}[/tex] = 8

[tex]\frac{32}{4}[/tex] = 8

[tex]\frac{112}{14}[/tex] = 8

Since all 3 ratios are equal the figures are similar (SSS )

and the ratio small : large = 1 : 8

Y=f(x)=16^x find f(x) when x=1/2

Answers

Answer:

4

Step-by-step explanation:

Using the rule of exponents

• [tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex]

f(x) = [tex]16^{\frac{1}{2} }[/tex] = [tex]\sqrt{16}[/tex] = 4

Answer:

f(1/2) = 4

Step-by-step explanation:

f(1/2) has the meaning of wherever you see x on the right hand side, you put in 1/2.

f(1/2) = 16^(1/2) = sqrt(16) [A power of 1/2 is a square root]

f(1/2) = 4

Answer: 4

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