If a rectangle has a length that is three times the width increased by 4. Find the dimensions of both the length and width if the
perimeter of the rectangle is 80 centimeters

Answers

Answer 1

Answer:

Step-by-step explanation:

Formula

The formula for perimeter is

P = 2L + 2w

Givens

Let the width = w

Length = 3w + 4

P = 80 cm

Solution

P = 2L + 2w

80 = 2(3w + 4) + 2w          Remove the brackets

80 = 6w + 8 + 2w              Combine

80 = 8w + 8                        Subtract 8 from both sides

80-8 = 8w + 8-8                 Combine

72 = 8w                               Divide both sides by 8

72/8 = 8w'8

9 = w

Answer

w = 9

L = 3*w + 4

L = 3*9 + 4

L = 31


Related Questions

What is the total number of atoms in ammonium hydroxide, nh4oh ? 2 4 7 8

Answers

Answer:

7 total atoms.

Step-by-step explanation:

There's nothing written for N, so we assume there is one atom. There is 4 written for H, plus the other H at the end, making 5 hydrogen atoms. There is nothing written for O, so we assume there is one atom. 1+5+1=7 total

Answer:

7

Step-by-step explanation:

BABA BOI

Percent of discount is 40% sale price is 78 what’s the or

Answers

Answer:

124.8

Step-by-step explanation:

Answer: $130

Step-by-step explanation:

60% = 78

1% = 78/ 60

100% = 78/60 ×100

Discount is 40% = $52

how many sides does a quadrillateral have

Answers

Answer: 4

Step-by-step explanation:In geometry a quadrilateral is a four-sided polygon, having four edges and four corners. The word is derived from the Latin words quadri, a variant of four, and latus, meaning side

Marina has $145 to spend. She spends $68. 50 on jeans. T-shirts cost $12. 75. Write and solve an inequality to find the greatest number of t-shirts she can buy

Answers

Answer:

6

Step-by-step explanation:

145-68.50 = 76.50

76.20/12.75 = no of t-shirts she can buy

ans= 6

The perimeter of a triangle is 42 yards. The first side is 5 yards shorter than the
second side, and the third side is 2 yards shorter than the first side. What is the length
of each side?

Answers

Answer: Is your question "What is the length of each side?"

Let x = the length of the second side

Let x - 5 = the length of the first side

Let (x - 5) - 2 = the length of the third side

P = a + b + c

x + x - 5 + x - 7 = 42

3x - 12 = 42

3x = 54

x = 18 yards

x - 5 = 13 yards

x - 7 = 11 yards

Step-by-step explanation:

Find the surface area of the sphere if its radius is 13 inches. Round your answer to
nearest hundredth (two decimal places). Use 3.14 to approximate pi.

Answers

Formula: (3.14) 13^2
Answer: 530. 66
Formula is A=4 pi r^2
4*3.14*13^2
2122.64

Normal Distribution- Empirical Rule - please help

Answers

It’s 0 beachfront is god likely

solve for x : -17 = -x - 7

Answers

Answer:

10

Step-by-step explanation:

-(-17)=17-7=10

Answer:

x = -119/16

Step-by-step explanation:

x/-17 = -x-7

x/-17 + x = -x-7+x

SIMPLIFY

16x/17 = -7

so x= -119/16

(I TRIED TO SOLVE THIS HOPE THIS HELPS).

Bob is thinking about leasing a car. the lease comes with an interest rate of 8%. determine the money factor that will be used to calculate bob’s payment. a. 0.00033 b. 0.00192 c. 0.00333 d. 0.01920

Answers

The money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.

What is money factor?

It is defined as the ratio of the annual percentage rate to 2400. Usually, it can be used to calculating the financing costs of a lease with monthly installments.

Bob is thinking about leasing a car, the lease comes with an interest rate of 8%.

The annual percentage rate(APR) = 8%

We know the formula for finding the money factor is given by:

[tex]\rm Money \ factor = \frac{APR}{2400}[/tex]

[tex]\rm Money \ factor = \frac{8}{2400}[/tex]

Money factor = 0.00333

Thus, the money factor that will be used to calculate Bob's payment is 0.00333 if the annual percentage rate is 8% option (c) is correct.

Learn more about the money factor here:

https://brainly.com/question/9583229

Henry is going to color a spinner with 16 equal-sized sections. Three of the sections will be orange,
and 13 of the sections will be black. Is this spinner fair? If so, explain why. If not, explain how to make
it a fair spinner.
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. Yes. The spinner is fair because there are the same number of orange sections and black
sections.
OB. No. The spinner is not fair because there are more orange sections than black sections. A fair
spinner will have
orange section(s) and
black section(s).
(Type whole numbers.)
OC. No. The spinner is not fair because there are
more black sections than orange sections. A fair
black section(s).
spinner will have orange section(s) and
Click to select and enter your answer(s) and then click Check Answer
Clear All
Check Answer
All parts showing

Answers

Answer: C

Step-by-step explanation: Black shade will be 13/16 . That isn't fair at all. It has more Black

Helpppppp plssss!!!!!!

Answers

Answer:

The answer is D or 180 degrees

Thank you Consider brainliest <3

Step-by-step explanation:

The first five terms of an arithmetic sequence are given: $4,10,16,22,28, \\ldots$ What is the sixth term in the sequence

Answers

Answer:

34

Step-by-step explanation:

to find the number to add 4 which will increase it to 10 with them subtract 10 from 4 to find the number which is increasing termly

=> 10 - 4 = 6

increasing by 6

4 + 6 = 10

10 + 6 = 16

16 + 6 = 22-

22 + 6 = 28

28 + 6 = 34

6th term = 34

Mary had a 3-inch piece of ribbon. She cut it in half. How long were the new pieces?.

Answers

Half of 3 would be the new lengths of the pieces.
So 3/2=1.5
The pieces would each be 1.5 inches
given:

3 inch.

to find:

the length of the new pieces.

solution:

to find the length of the new piece's you'll have to divide 3 by 2.

3/2

= 1.5 inch

so, the length of the new pieces is 1.5 inch.

bro some one helpp lol
17 - q = 6
n-31/4 = 2
1 + 2r = 35
42 + 5t = 8t
4p - 3 = 17

Answers

Answer:

11

9.75

17

14

5

Step-by-step explanation:

q=17-6=11

4n-31=8

4n=31+8=39

n=9.75

2r=35-1=34

r=17

42=8t-5t=3t

t=14

4p=17+3=20

p=5

Solve the System of these Equations

Answers

Answer:

y=-9/2, x=7

Step-by-step explanation:

You can solve this via substitution. First solve for x in terms of y in one of the equations given. Lets use the first one:

25+4y=x

Now plug 25+4y in for x in the second equation

3(25+4y)-2y=30

75+12y-2y=30

75+10y=30

10y=-45

y=-9/2

Plug this into the first equation:

25-x=-4(-9/2)

25-x=18

x=7

Which one does it simplify to? please

Answers

Answer:

[tex]1 + { \sin} \theta[/tex]

Step-by-step explanation:

[tex] \frac{ { \cos}^{2} \theta}{1 - \sin \theta} \\ \\ = \frac{ { \cos}^{2} \theta}{(1 - \sin \theta)} \times \frac{(1 + \sin \theta)}{(1 + \sin \theta)} \\ \\ = \frac{{ \cos}^{2} \theta(1 + { \sin} \theta)}{(1 - { \sin}^{2} \theta)} \\ \\ = \frac{{ \cancel{ \cos}^{2} \theta}(1 + { \sin} \theta)}{ \cancel{{ \cos}^{2} \theta}} \\ \\ = 1 + { \sin} \theta[/tex]

Let's see

[tex]\\ \rm\Rrightarrow \dfrac{cos^2\theta}{1-sin\theta}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1-sin^2\theta}{1-sin\theta}[/tex]

(a+b)(a-b)=a²-b²

[tex]\\ \rm\Rrightarrow \dfrac{(1-sin\theta)(1+sin\theta)}{1-sin\theta}[/tex][/tex]

[tex]\\ \rm\Rrightarrow 1+sin\theta[/tex]

Option A

in a binomial experiemnt the probability of success is 0.16. what is the probability of two successes in seven trials

Answers

Answer:

0.2248307402

Step-by-step explanation:

Let 'success', p = 0.16,

and 'failure', q = 1 - 0.16 = 0.84

and the number of trials, n = 7

r = 2

[tex]P(X = r) = \binom{n}{r} {p}^{r} {q}^{n - r} \\ P(X = 2) = \binom{7}{2} {(0.16)}^{2} {0.84}^{5 - 2} \\ = 0.2248307402[/tex]

How am I supposed to do question 4???

Answers

Answer:

PQ= XY

QR=YZ

RP=ZX

/_P= /_X

/_Q= /_Y

/_R= /_Z

The parabola in the image has its focus at (4,3).Its directrix is the line y=1.The point (8,6) is on the parabola.

Answers

The statements that are true for this parabola are:

C. The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.

Option D.

Given the following data:

Vertex (h, k) = (4, 3).Point (x, y) = (8, 6).

How to determine the equation of the directrix?

Mathematically, the standard equation of the directrix line for a parabola is given by: y = a(x - h)² + 2.

Next, we would determine the distance where point (8, 6) lie on the parabola as follows:

y = a(x - h)² + 2

6 = a(8 - 4)² + 2

6 = a(4)² + 2

6 = 16a + 2

16a = 6 - 2

16a = 4

a = 4/16

a = 1/4.

Therefore, the parabolic equation becomes:

y = 1/4(x - 4)² + 2

When x = 2, we have:

y = 1/4(2 - 4)² + 2

y = 1/4(-2)² + 2

y = 1/4(4) + 2

y = 1 + 2

y = 3.

In conlusion, the statements that are true for this parabola in the image above include:

The point (8, 6) is the same distance from the point (4, 3) as it is from line (y = 1).The point (2, 3) is on the parabola.

Read more on directrix here: https://brainly.com/question/2346582

#SPJ1

y = 2x^2 + 3
im looking for how to find the axis of symmetry

Answers

Answer:

The axis of symmetry is simply 0

Step-by-step explanation:

When you enter that equation on the graph the axis of symmetary is the line that goes straight throught the middle of it.

I inserted an image so you could understand a littler better. Hope this helps!

The axis of symmetry of the quadratic equation y = 2x^2 + 3 is x = 0

How to determine the axis of symmetry?

The equation is given as:

y = 2x^2 + 3

Differentiate the above equation with respect to x

y' = 4x + 0

This gives

y' = 4x

Set the equation to 0

4x = 0

Divide both sides by 4

x = 0

Hence, the axis of symmetry is x = 0

Read more about axis of symmetry at:

https://brainly.com/question/1349456

A triangular prism has a volume of 360 in.³ the area of the base of the prism is 24 in.² what is the height of the prism?

Answers

Answer:

15 in

Step-by-step explanation:

Volume / Area = missing length

360 / 24 = 15 in

Consider the equation 3(x – 5)2
+ 6 = 54.
What value(s) of x makes the equation true? Enter one solution in each space
provided on your answer document. If there is only one solution, leave one space
blank

Answers

Answer:

if im not mistaken, x = 13!!

Determine the equation of the line with the following characteristics.

Slope=3, passing through (-1, 10)

Answers

Answer:

y = 3x + 13

Step-by-step explanation:

The equation of a line is also known as slope-intercept form.

Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.

To put an equation in slope-intercept form, we need the slop and the y-intercept.

In this case, we already have the slope which is 3.

So far, we have y = 3x + b

Now, we need to find the y-intercept.

Since you already have a point, we can plug in the x and y values from the point, into the equation.

10 = 3(-1) + b

Now, we can solve for b.

10 = -3 + b

Add three on both sides so it becomes:

13 = b

13 is the y-intercept

y = 3x + 13

Julie invested $148,000 in a simple interest account. After 12 years and no additional deposits or withdrawals, the account balance was $210,160. Find the interest rate for the account.

Answers

If the invested price is $ 148,000 for 12 years with a return of $210,160. Then the rate of interest will be 11.83%.

What is simple interest?

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Julie invested $148,000 in a simple interest account.

After 12 years and no additional deposits or withdrawals, the account balance was $210,160.

Then the interest rate will be

[tex]\rm A = \dfrac{PRT}{100}\\[/tex]

We have

A = $ 210,160

P = $148,000

T = 12 years

Then the interest rate will be

[tex]\begin{aligned} 210,160 &= \dfrac{148000 \times R \times 12}{100}\\\\R &= 11.83 \% \end{aligned}[/tex]

More about the simple interest link is given below.

https://brainly.com/question/2793278

#SPJ1

Answer: 3.5%

Step-by-step explanation:

120 90 x= i need help with thiss!!!

Answers

Answer:

60°

Step-by-step explanation:

Angles around a point sum to 360°360 - 90 - 120 - 90 = 240 - 180 = 60°

Can anyone please help answer this?

Answers

A = 45 inches!

11 + 7 = 18

12 + 5 = 17

6 + 4 = 10

18 + 17 = 35

35 + 10 = 45

Find the area of the semicircle. Round your answer to the nearest hundredth.

Answers

Answer:

452.39

Step-by-step explanation:

area of circle = [tex]\pi r^{2}[/tex]

area of semi circle is [tex]\pi r^{2}[/tex] divided by 2 (because a semi circle is half of a circle)

diameter = 2 x radius, and radius = half of diameter

so

radius = 24 / 2 = 12

[tex]12^{2}[/tex] x π = 452.389342

to nearest hundredth = 452.39

Hope this helps. If you need any further explanation, let me know!

- profparis

if i helped you, i would appreciate a brainliest :D

Answer:

266.19 in²

Step-by-step explanation:

[tex]\sf Area\:of\:a\:circle=\pi r^2[/tex]  (where r is the radius of the circle)

As a semicircle is half a circle

[tex]\implies \sf Area\:of\:a\:semicircle=\dfrac12\pi r^2[/tex]

From inspection of the diagram, we can see that the diameter (the widest part of a circle) is 24 in.

[tex]\sf Radius\:of\:a\:circle\:(r)=\dfrac12diameter[/tex]

Therefore, the radius of the circle = 24 ÷ 2 = 12 in

Substitute r = 12 into the equation for the area of a semicircle:

[tex]\begin{aligned}\implies \sf Area\:of\:a\:semicircle & =\dfrac12\pi 12^2\\ & =\dfrac12 \cdot \pi \cdot 144\\ & = 72\pi \\ & = 266.19\: \sf in^2 \:(nearest\:hundredth)\end{aligned}[/tex]

Calculate the length below labeled x

Image above
Please help me with this ill give you brainlist answer

Answers

Answer:

2√30

Step-by-step explanation:

Since we have a right triangle, we first need to find the base of the big triangle, which is also the hypo of the smaller triangle.

We apply A²+B²=C²

We plug values in that we have

15²+B²=19²

Simplify

B²=136

B=√136=√2x2x2x2x17=4√17

Now that we have the hypo for the small triangle we apply the same formula to get X

4²+X²=√136

16+X²=136

X²=120

X=√120=√2x2x2x3x5=2√30

Answer:

11.0 mm (3sf)

Step-by-step explanation:

Let length of hypotenuse of smaller triangle be H mm. (this is referring to the only unlabelled length in the picture)

by the Pythagorean theorem (larger triangle),

19² = 15² + H²

H² = 361 - 225

H² = 136

by the Pythagorean theorem (smaller triangle),

H² = 4² + x²

136 = 16 + x²

x² = 120

x = 11.0 mm (3sf)

hope this helps!

Find the image of the given point
under the given translation.
P(-9, -2)
T(x, y) = (x + 6, y − 4)
P' = ([?], [])

Answers

Answer:   (-3, -6)

Explanation:

The notation [tex]T(x, y) = (x+6, y-4)[/tex] tells us to add 6 to the x coordinate and subtract 4 from the y coordinate.

An equivalent notation would be to write [tex](x,y) \to (x+6, y-4)[/tex]

Point P has the x coordinate of -9. Adding on 6 gets us the new x coordinate of -9+6 = -3

It also has the y coordinate of -2. Subtract off 4 to get -2-4 = -6

So,

[tex](x,y) \to (x+6, y-4)\\\\(-9, -2) \to (-9+6, -2-4)\\\\(-9, -2) \to (-3, -6)[/tex]

Answer:

P' (- 3, - 6 )

Step-by-step explanation:

the translation

(x, y ) → (x + 6, y - 4 )

means add 6 to the x- coordinate and subtract 4 from the y- coordinate , so

P (- 9, - 2 )  → P' (- 9 + 6, - 2 - 4 ) → P' (- 3, - 6 )

Algebraic terms are separated by
Choose all that apply.
=
+
x
\
-

Answers

Here’s the answer: +,-,=
Other Questions
Out of My MindQuestion 2 of 10Mrs. V made it her mission to give Melody language after - Select the correct answer.Acrobatic routines must not be longer than:A. 2 minutes 20 secondsB. 2 minutes 30 secondsC. 2 minutes 40 secondsD. 2 minutes 50 seconds 254 students study english280 students study math 280 students study science 73 students study all topics 152 students study english and math 79 students study math and science 139 students study science and english How much students are in the school? 40 feet wide and 96 feet long how far is it from 1 corner to the opposite corner The danger of ____________ is that life as we know it cannot be sustained if it is not well adapted to the effects of higher global temperatures. Which of the following is true of the composition F(G(H(X)))?A. The function G(F(H(x))) depends on G(H(x)).B. The function F(G(H(x))) depends on H(G(x)).C. The function H(G(F(x))) depends on G(F(x)).D. The function F(G(H(x))) depends on G(H(x)).SUBMIT How do you find the radian of any given degree. Permutations and, combinations: problem type 2. (A) From a collection of 51 store customers, 3 are to be chosen to receive a special gift. How manygroups of 3 customers are possible? (B) How, many different committees of size 4 can be formed from 14 people ? somebody help me out A. Fragment: All the nursesThe fragment is a: subjectpredicate Here is a right angled triangle work out the value of x using trigonometry What decimal part of 560 is 70 The Happy Widget Company has a fixed cost of $1,378 each day to run their factory and a variable cost of $1.83 for each widget they produce.Create a linear model for their daily cost.How much does it cost them to produce 267 widgets? Urgent!! Please help!! What's the answer to this math problem? Complete with the correct form of the adjective Which of the following grew during the New Imperialism?This is my second time doing the test and A is wrong and multiple people are saying C is wrong Find the values of the variables: I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER Squats work which muscles? armslegsbackchest