A rectangle's perimeter is equal to 27 plus its width. The length of the rectangle is four times its width. What is the
width of the rectangle in units?

Answers

Answer 1

Answer:

P = 3

Step-by-step explanation:

L = 4*w

P = 27 + w

P = 2*L + 2*w = 27 + w

2L = 2*(4w) = 8w

Put that into the perimeter formula (the first one.)

P = 8w + 2w = 27 + w

10w = 27 + w                        Subtract w from both sides

9w = 27                                Divide by 9

w = 27 / 9                          

w = 3

You should find the Length just so you can check it.

L = 4w

L = 4*3

L = 12

Check

P = 2L + 2w

P = 2*12 + 2*3 = 30

P = 27 + w

P = 27 + 3

P = 30 and everything checks.


Related Questions

lcm of 12x² and 48xy​

Answers

Answer:

576xxxycm

Step-by-step explanation:

1cm×12x×x+48xy=576xxxycm

7(2x-7+1 please help ​

Answers

Answer:

14x-42

Step-by-step explanation:

7(2x-7+1 )

7(2x-6)

14x-42

Does anyone know the answer plz ?

Answers

Answer:

x = 5; y = 5

Step-by-step explanation:

One angle is a right angle, so its measure is 90 degrees.

One angle measures 45 degrees, so the unknown angle must also measure 45 degrees.

x and y are opposite two 45-degree angles, so x = y.

In a 45-45-90 triangle, the ratio of the lengths of the sides is

1 : 1 : sqrt(2)

We have

x : y : 5sqrt(2)

x/1 = 5sqrt(2)/sqrt(2)

x = 5

y = 5

1-2. Roel earns P 8,000 per month as basic salary. In addition, he earned P 5,725.50 as commission and P 852.50 as overtime pay in January. How much did he earn that month?

3-4. A biscuit factory originally packaged 0.65kg of crackers. To increase profitability, the company reduced the weight by 0.035 kg with a more affordable price. What is the new weight per pack of crackers?

Answers

Answer:

a. he earn 14578.00 in that month.

Write the equation of the line that passes through the point (-1, -2) and is parallel to the
graph of y-3x - 2.
XY

Answers

Answer:

y = -3x - 5

Step-by-step explanation:

In order to form a parallel line, the two lines must have the same slope. Substitute the values into the point-slope formula to make the equation.

[tex]y-y_1=m(x-x_1)\\y-(-2)=-3(x-(-1))\\y+2=-3(x+1)\\y+2=-3x-3\\y=-3x-5[/tex]

Therefore, the equation is y = -3x - 5.

Simplify the expression. What classification describes the resulting polynomial?
(8x+3x) - (12x2 - 1)
O A quadratic binomial
O B. quadratic trinomial
ОС.
linear monomial
OD.
linear binomial

Answers

Answer:

The correct choice is option B. quadratic trinomial

Step-by-step explanation:

The answer is in quadratic trinomial because a quadratic trinomial is an expression in the form of ax^2 + bx + c and this is exactly how our final solution looks like.

Calculate the mode of: 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3.

Answers

Answer:

the Mode Is 3

Step-by-step explanation:

You Have To Put the numbers from ascending order to descending order..The Numbers that appears the most is the mode

SOMEONE HELL FAST ILL GIVE U BRAINLIST!!!

Answers

The answer is A and d

find the difference 25 - (-3) =

Answers

Answer:

28

Step-by-step explanation:

Subtracting a negative is like adding

25 - -3

25+3

28

Answer:

28

Step-by-step explanation: Not sure about this, but technically the question is written wrong. The "difference" is a form of subtraction, and if you simplify your question you get a question to do with addition.

25-(-3)

= 25+3   (since negative and negative makes positive)

=28

PS  Again, not sure about this question.

Determine three consecutive odd integers whose sum is 2097.

Answers

Answer:

first odd integer=x

second odd integer=x+2

third odd integer=x+4

x+x+2+x+4=2097

x+x+x+2+4=2097

3x+6=2097

3x=2097-6

3x=2091

3x/3=2091/3

x=697

therefore, x=697

x+2=697+2=699

x+4=697+4=701

Lilian is building a swimming pool in the shape of a right rectangular prism. The area of the base of the swimming pool is 72 square meters. The depth of the swimming pool is 3 meters. What is the volume of the swimming pool?

Answers

Answer:

216

Step-by-step explanation:

Volume of a rectangular prism = area of base * depth

Area of base: 72

Depth: 3

Volume = 72 * 3 = 216

A typical television newscast has three cameras. The center camera directly faces the news anchor’s desk. The other two cameras are both angled 45 degrees away from the center camera. Suppose each camera has a filed if 60 degrees. What is the total angle covered by three cameras? Explain your reasoning.

Answers

5428 7091 6278 63 and none that are changed in a way for us good to have the right ✅✅is 3 and is made of solid rocks mostly basalt and none of the duties should be separated on any basis of the following ratio of a 666you and a volcano of a bone of a bone of a bone of a bone of a bone of a bone of a bone of a bone of a bone of a bone of a bone where

Wyatt wants to study the relationship between the number of siblings that a student has and the student’s grade-point average using a scatterplot. He believes that if the points form a straight line, then there is a relationship between the two variables. Which scatterplot proves that Wyatt’s statement is not always true?

Answers

Answer:

B.

Step-by-step explanation:

Use the box plots comparing the number of males and number of females attending the latest superhero movie each day for a month to answer the questions.

Two box plots shown. The top one is labeled Males. Minimum at 0, Q1 at 3, median at 10, Q3 at 15, maximum at 35. The bottom box plot is labeled Females. Minimum at 0, Q1 at 2, median at 6, Q3 at 9, maximum at 14, and a point at 31.

Part A: Estimate the IQR for the males' data. (2 points)

Part B: Estimate the difference between the median values of each data set. (2 points)

Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)

Part D: Provide a possible reason for the outlier in the data set. (2 points)
PLEASE HELP ME!!! IVE BEEN AVOIDING THIS FOR SO LONG

Answers

(a) The IQR for the males' data is 12, because Q3 is at 15 and Q1 is at 3.

(b) The difference between the median values of each data set is 4 because 10-6 = 4

(c) For the males' data, the median would be a better measure of center, since the data is skewed right. For the females' data, the mean would be a better measure of center, because the data is pretty balanced (except for the outlier).

(d) Maybe a superhero movie had their opening night one day of this month, which would explain the outlier.

simplify. 5+ 8y^2- 12y^2+ 3y

Answers

Answer:

The answer simplified would be:

-4y^2+3y+5

If you combine the like terms, you will get this answer.

You have to add 8y^2 to -12y^2 and you get -4y^2.

Hope this helps you! :)

Geometry, please answer question ASAP

Answers

Answer:

A

Step-by-step explanation:

The inscribed angle IJK is half the measure of its intercepted arc, so

arc IK = 2 × 75° = 150°

The 3 arcs sum to  360° , then

arc IJ = 360° - (150 + 110)° = 360° - 260° = 100° → A

can someone solve this?

-5^4 x 4y^10 x -3y^-1

Answers

Answer:

[tex]7500 {y}^{9} [/tex]

Step-by-step explanation:

[tex] { - 5}^{4} \times {4y}^{10} \times { - 3y}^{ - 1} [/tex]

[tex] = 12 \times {5}^{4} {y}^{9} [/tex]

[tex] = 12 \times 625 {y}^{9} [/tex]

[tex] = 7500 {y}^{9} [/tex]

helphelphelphelphelphelp

Answers

Answer:

E - (8,-9)

F - (9,-9)

G - (9,-4)

Step-by-step explanation:

The first number in the bracket relates to the x-axis

The second number relates to the y-axis

17. ralph is 3 times as old as sarah. in 4 years ralph will only be twice as old as sara will be then. find ralph’s age now.

Answers

Answer:

Sara is now 4, will be 8 in 4 years. Ralph is now 12, will be 16 in 4 years.

which of the following is NOT true about a parallelogram?

Answers

Answer:

Any two consecutive angles are complementary.

--------------------

Opposite sides of a parallelogram are parallel, Opposite sides are congruent. Opposite angles are congruent.

OAmalOHopeO

Margo bought the following lengths of ribbon: 3/4 yd, 1/3 yd, 1/2 yrd. How much ribbon did she buy?

Answers

Answer:

she bought 19/12 lengths of ribbon or aka 1 7/12

Step-by-step explanation:

3/4 + 1/3 + 1/2 = 13/12 + 1/2

13/12 +1/2 = 19/12

19/12 simplify is 1 7/12

Margo bought [tex]1\frac{2}{3}[/tex] yards of ribbon.

What is a fraction ?

A fraction represents how much part of total quantity is present.Fractions are of two types proper fraction and improper fraction.

According to the question given Margo bought some ribbons of length    3/4 yd, 1/3 yd and 1/2 yd.

To find the total ribbon she bought in yards we have to take the sum of all the fractions.

∴ (3/4) + (1/3) + (1/2) yards.

Now to sum these fractions we have to take LCM of the denominators which is 12.

So, { (3×3) + (1×4) + (1×6) }/12.

= (9 + 4 + 6)/12.

= 19/12 or 1 whole 2/3 yards of ribbon.

learn more about fractions here :

https://brainly.com/question/8482939

#SPJ2

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

60

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

A college chemistry teacher wants to know whether taking a practice
exam will help her students score higher on their final exam. She
randomly selects 50 students from among the four sections of
Introductory Chemistry that she teaches. Then she randomly divides
them into two groups of 25 students each. Group A will take a practice
exam, and group B will not take a practice exam. After all 50 students
take their final exam, she will compare their results.
Which of these are the treatments in this experiment?
A. Taking a morning chemistry class and taking an afternoon
chemistry class
B. Having taken high school chemistry and not having taken high
school chemistry
C. Being one of the 50 students selected and not being one of the 50
students selected
D. Taking a practice exam and not taking a practice exam

Answers

https://brainly.com/question/17278316

the answer is option b

What is an equation of the line that passes through the points (-2,8) and (1, -1)? ​

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - 8 / 1 - (-2)

-9/3

= -3

y = -3x + b

-1 = -3(1) + b

-1 = -3 + b

2 = b

The Yogurt Packaging company is now re-designing their factory. They are going to construct a building in
the shape of a square box. Their contractor has told them that the diagonal braces needed to make the roof
are 150 feet long.


What would be the floor plan of the building? Label the diagonal braces

Answers

Answer:

[tex]\sqrt{\frac{150^2}{2}}=75\sqrt{2}\quad \left(\mathrm{Decimal:\quad }\:106.06601 \right)[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} = 150^{2}[/tex]

a=b

[tex]2a^{2} = 150^{2}[/tex]

           

[tex]a =\sqrt{150^{2}/2 }[/tex]

Answer:

Step-by-step explanation:

We are using a top down view.  We have a square building with side length s.  The diagonal is 150 ft

Using the Pythagorean theorem

s^2 + s^2 = 150^2

2s^2 = 22500

s^2 =11250

Taking the square root of each side

sqrt(s^2) = sqrt(11250)

s = sqrt(6225*2)

s = 75 sqrt(2)

Simplify the expression using trigonometric identities: sec (–θ) – cos θ.

Answers

Answer:

Step-by-step explanation:

Let's break this down. The secant of a negative angle is the same as the secant of the positive angle. This is because secant is the inverse of cosine, and cosine is an even function. f(-x) = f(x) if the function is even, and f(-x) = -f(x) if the function is odd. Sine is odd and has symmetry about the origin; cosine is even and has y-axis symmetry.

Therefore, sec(-θ) = sec(θ) and we have then

sec(θ) - cos(θ). Since secant is the inverse of cosine, we can write:

[tex]\frac{1}{cos\theta}-cos\theta[/tex] and finding a common denominator:

[tex]\frac{1-cos^2\theta}{cos\theta}[/tex] and using a trig identity:

[tex]\frac{sin^2\theta}{cos\theta}[/tex] and simplify that down a bit by breaking it up:

[tex]\frac{sin\theta}{cos\theta}*sin\theta[/tex] finally boils down to

tanθ · sinθ, the last choice there.

2/5 x 1/3 x 3/4 = ( 2/5 x 1/3) x ? And the answer please

Answers

4/12x9/12= 36/12=3
3x2/5=6/5
4.2

6/15x5/15=30/15=2

?= 2.1 or 2 1/10

What is the price after taking 25% off $62?​

Answers

Answer:

46.5 DOLLARS WILL BE YOUR ANSWER .

Answer:

$46.50

Step-by-step explanation:

pls mark brainliest

If you add up Jasford and Jasmines ages you get 35. If Jasford is three years older than Jasmine, how old is Jasmine?

Answers

It is 16 I’ve done this question before

prove that.....cos^2α(cosec^2α-cot^2α)=cos^2α​

Answers

Step-by-step explanation:

We must prove that

cos²a(csc²a-cot²a) = cos²a

If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.

We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that

cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get

cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))

Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get

cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)

= cos²a(1)

= cos²a

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