The width of a rectangle is 1/4 its length. The perimeter of the rectangle is 375 ft. What is the length, in feet, of the rectangle?

Answers

Answer 1

Answer:

Required Answer:-

Let

[tex]\sf length=x [/tex]

[tex]\sf Breadth={\dfrac {x}{4}}[/tex]

As we know that in a rectangle

[tex]{\boxed{\sf Perimeter=2 (l+b)}}[/tex]

Substitute the values

[tex]{:}\longrightarrow\sf 2 \left (x+{\dfrac {x}{4}}\right)=375 [/tex]

[tex]{:}\longrightarrow\sf 2 \left({\dfrac {4x+x}{4}}\right)=375 [/tex]

[tex]{:}\longrightarrow\sf 2 \left({\dfrac {5x}{4}}\right)=375 [/tex]

[tex]{:}\longrightarrow\sf {\dfrac {10x}{4}}=375 [/tex]

[tex]{:}\longrightarrow\sf 10x=4×375 [/tex]

[tex]{:}\longrightarrow\sf 10x=1500 [/tex]

[tex]{:}\longrightarrow\sf x={\dfrac {1500}{10}}[/tex]

[tex]{:}\longrightarrow\sf x=150[/tex]

[tex]\therefore[/tex]Length =150feet


Related Questions

Helpppp!!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?

Answers

Answer

I think it is B or C since there is an angle it can not be A

Step-by-step explanation:

I think it is B since there is 1 angle and 2 sides.

Answer:

C

Step-by-step explanation:

Lets see what we have,

So far we have a side and an angle congruent.

But wait, if two lines intersect, the angle of intersection between the two are equal meaning we have a second angle, and we know now as a result the third angle is 180 minus the two known angles

This means its a Side Angle Angle, however neither of these show this so C

Hope this helps :)

A drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks. What best describes how to determine the probibility of pulling a white sock, not replacing it, then pulling out another white sock?

Answers

Answer:

Probability = 1/3

Step-by-step explanation:

The drawer of loose socks contains 2 red socks, 2 green socks, and 6 white socks.

This is a total of 10 socks.

Probability of pulling a white socks = 6/10

Since it is not replaced, it means we have 5 white socks left out of a total of 9 now.

Probability of pulling out another white socks = 5/9

Thus;

The combined probability is;

6/10 × 5/9 = 30/90 = 1/3

Hellooooo!

My Answer:

The answer is letter C.

The Explanation:

The probability that the first sock is white is 6/10 and the second one is white is 5/9, so the probability of choosing a pair of white socks is 30/90 = 1/3.

question:

Solve for x: 2/5(x - 4) = 2x

answers:

1/2
-1
1
-8

Answers

Answer:

x= -1

Step-by-step explanation:

PLS HELP!!!
PLS FIND 13 and 15!!

Answers

Answer:

hi how are you doing

Step-by-step explanation:

Write the equation in slope-intercept form y−6=−2/5(x−10)

Answers

Answer: y = -2/5x + 10

Step-by-step explanation:

y − 6 = − 2/5 (x − 10)

do distributive property

y - 6 = -2/5x + 4

add six to both sides

y = -2/5x + 10

boom the answer :v

f(x) = -x +2
g(x) = 4.0 – 8

Answers

1) x=1

2) x=-4

hope that helped

Lexi went shopping before the start of the school year. She spent $8 on new clothes for every $3 she spent on school supplies. Pick the diagram that models the ratio in the story. Lexi spent $132 on clothes and school supplies in all. How much of that money was spent on clothes?

Answers

Answer:

The answer is $96

Step-by-step explanation:

I just finished this there is a graph with 8 and 3. There are 11 graph boxes in all (you add the boxes/ amount  together to get how much total they are).  8 +3=11. Then you divide 132/11=12. You are looking for clothes, so you multiple 12x8=which equals 96. So she spent $96 on clothes

The amount spent on clothes is $96.

What is ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Lexi spent $8 on new clothes for every $3 she spent on school supplies.

Lexi spent $132 on clothes and school supplies in all.

The ratio of spending is = 8/3

So, amount spend on new clothes is

= 8/11 x 132

= 8 x 12

= $96

Hence, the amount spent on clothes is $96.

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ2

someone please please helppp... I need to submit this ttoday..I will mark you the brainliest

Answers

Problem 3

I'm not sure what your teacher is asking here. Identities are equations, but your teacher didn't give you an equation.

=============================================

Problem 4

To show that we have an identity, I'm only going to manipulate the left hand side to transform it into the right hand side. The right hand side will remain the same the entire time.

(3x+7)^2 - 84x = (3x-7)^2

(3x+7)(3x+7) - 84x = (3x-7)^2

(9x^2+21x+21x+49) - 84x = (3x-7)^2

9x^2+42x+49-84x = (3x-7)^2

9x^2-42x+49 = (3x-7)^2

(3x-7)^2 = (3x-7)^2

The two formulas

(a+b)^2 = a^2+2ab+b^2(a-b)^2 = a^2-2ab+b^2

may be handy in terms of expanding out (3x+7)^2 and factoring 9x^2-42x+49

=============================================

Problem 5

x + 1/x = 11

a + b = 11 .... where a = x and b = 1/x

(a+b)^2 = 11^2

a^2 + 2ab + b^2 = 121

x^2 + 2*x*(1/x) + (1/x)^2 = 121

x^2 + 2 + 1/(x^2) = 121

x^2 + 1/(x^2) = 121-2

x^2 + 1/(x^2) = 119

An alternative route is to solve x + 1/x = 11 for x. You'll get two solutions. Use either solution to plug into x^2 + 1/(x^2) to find the result is 119.

Is -4(5x)=12 true false or open

Answers

Answer:

False because its -4 if it

What is the length of the segment DF?

Answers

Let me see the picture of your question. I need to see some angles, side lengths, or ordered pairs for me to answer this question.

Betty bought a new pair of jeans for $45 and three new sweaters for $141. How much was one sweater, if they all cost the same amount? Write and solve an equation to see how much one sweater cost.

Answers

Answer:

47

Step-by-step explanation:

You would divide 141 by 3 because there was  three sweatshirts bought, so the answer from that would be the price of one.

141/3=47

75 000 in standard form

Answers

Answer:

7.5×10^4

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Hope this helps <3

Answer: 7.5

Step-by-step explanation:

GIve me an equation then you get 10 points

Answers

Answer:

987654321 divided by 12345678

Step-by-step explanation:

PLEASSSSSSSSSSSSSSSSSSSSSSSSSSeeee help 10+ points for you

Answers

Answer:

f < -2

Step-by-step explanation:

f+ 4 < 2

 -4.   -4

f < -2

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:

the second

Step-by-step explanation:

Someone PLease please help me

Answers

Answer is 1 . Righttttttttttttt

Pls help
Simplify the expression: -1.23x + 1.54x + 1.2 + 1.2 + 3.4p

Answers

Answer:

0.31x + 2.4 + 3.4p

Step-by-step explanation:

combine like terms

The answer is 0.31x + 2.4 + 3.4p
You combine like terms

1. Show your work to simplify the expression 0.5(8a +6b) a + 4b​

Answers

Answer:

Using distribute property

0.5(8a)(a) + 0.5(6b)(a) + 4b

4a^2 + 3ab + 4b

Step-by-step explanation:

Answer:

4a+3ab +4b

Step-by-step explanation:

0.5(8a+6b) a +4b

4a +3b*a +4b

4a+3ab +4b

find the slope and y - intercept of the equation.

y=1/4x-8 ​

Answers

slope is 1/4 n y intercept is -8

Answer:

slope= 1/4

y-intercept- (-8)

Step-by-step explanation:

i think i hope this is right !


Determine the equation of the graph with the coordinates of (4, -1)

O y = (x-4)2 - 1
O y=(x + 4)2 + 1
O y = (x + 4)2 - 1
O y = (x - 4)2 + 1

Answers

Answer:

The required equation of the graph with the coordinates of (4, -1) will be:

[tex]y=\left(x-4\right)^2-1[/tex]

The graph is also attached.

Step-by-step explanation:

Given the coordinates (4, -1)

If we put the coordinate values (4, -1) in the given equations, we determine that only [tex]y=\left(x-4\right)^2-1[/tex] is the valid equation as it satisfies the given coordinate value.

For example, putting  (4, -1) in the equation

[tex]y=\left(x-4\right)^2-1[/tex]

[tex]\left(-1\right)=\left(4-4\right)^2-1[/tex]

[tex]-1=\left(0\right)^2-1[/tex]

[tex]-1=0-1[/tex]

[tex]-1=-1[/tex]

So, the equation [tex]y=\left(x-4\right)^2-1[/tex] is true for the coordinate values (4, -1).

Therefore, the required equation of the graph with the coordinates of (4, -1) will be:

[tex]y=\left(x-4\right)^2-1[/tex]

Please check, the graph is also attached.

posting again since no one would help me :,) PLEASEEEEE I'M STUPID AND NEED HELPPPPPP (plus i'm lazy smh) FREAKING 40 POINTS COME GET IT

Answers

Answer:

ill try to help you

Step-by-step explanation:

1. y=3x+1

2. y= -1.5x+3

3. y=0.5x-3

4. y= 3x

hope this helps

take care

Using the Incenter P, find the measure of ∠ZPX.




117°

140°

64°

129°

42°

132°

Answers

Answer:

The measure of ∠ZPX is 63°

Step-by-step explanation:

The given parameters are;

The incenter of the triangle = P

m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet

Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;

The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP

Therefore, ∠KXP = ∠LXP = 31°

∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°

∠KXL = 62°

Similarly;

The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK

Therefore, ∠PYJ = ∠PYK = 27°

∠KYJ = ∠PYJ  + ∠PYK = 27° + 27° = 54°

∠KYJ = 54°

In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate

∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°

∠LZJ = 64°

The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ

Therefore, ∠PZL = ∠PZJ

∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°

∠PZL = 64°/2 = 32° = ∠PZJ

In ΔZPX, we have;

∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate

∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°

∠ZPX = 63°

The measure of ∠ZPX = 63°

Solve for x: 81^ x-4=9^3x

Show all work for brainliest

Answers

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.x≈−0.00413995,1.6090059

Step-by-step explanation:

Answer:

X=-8

Step-by-step explanation:

81^(x-4)=9^3x

(9^2)^(x-4)=9^3x

9^(2x-8)=9^3x

Same base socompare both sides

So 2x-8=3x

2x-3x=8

-x=8

X=-8

So the value of X is -8

Write and solve a word problem that can be modeled by the product 12x-8

Answers

Answer:

Step-by-step explanation:

Mike is at the shop for school supplies. He sees some pencils he wants to buy. He sees that if he buys twelve of the same item, the store will take off $8. How much will twelve pencils cost at the store if one pencil is $5.99?

Equation: 12x-8

12x-8 =

12(5.99) - 8 =

71.88 - 8 =

$63.88

Hope this helps:)

The word problem that can be modeled by the

expression → 12x - 8 is written and solved below.

What is word problem in mathematics?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given is the following expression -

12x - 8

The world problem is as follows -

An ice cream store sells different flavours of ice cream at different rates. The cost of chocolate flavored ice cream is $12 per piece. If a person buys more than 15 ice - creams and wants it to be packed, the extra cost of packaging is decided by the following formula as →

cost of packaging = c[p] = (n/2) + 2

where n is the cost of ice cream.

If sam buys 'x' ice creams of chocolate flavor for his birthday party, calculate the total amount that sam has to pay to the shopkeeper.

Solution -  

Cost of 1 chocolate flavored ice cream = $12

Cost of x chocolate flavored ice cream = $(12x)

Since, 20 > 15, the extra cost of packing will be -

c[p] = n/2 + 2 = 12/2 + 2 = $8

The equation representing the total cost to be paid is -

Total cost [y] = 12x + 8

y = 12x + 8

Therefore, the word problem that can be modeled by the

expression → 12x - 8 is written and solved above.

To solve more questions on making word problems, visit the link below-

https://brainly.com/question/28756658=

#SPJ2

plzzzzzzzzzzzz help​

Answers

The answer is 58 square units. I got this answer by dividing the area into 3 parts, the bottom two were both 4 and the big square on top is 50 in total it is 58

Answer:

58

Step-by-step explanation:

Total area = 7 × 10 - 6 × 2 = 70 - 12 = 58 units²

If we multiply 0.8 by 1/50, we get 0.8 × 1/50 = 0.8/50 = 0.016 meter. So, we can say 0.016 meter wide should the door be on the scale drawing, if the ratio is 1 to 50.

Answers

Answer:

the ratio is 1:50

this means that 1 meter in the drawing is equal to 50 meters in real life, but that is a complicated way of stating something simple since drawings are not generally measured in meters.

the door is 0.8 meters wide or 80 centimeters wide

in our drawing, the door should be 80 / 50 = 1.6 centimeters wide

the whole purpose of a scale is to allow us to work with smaller units, that is why we have to work with them. It is true that 0.016 meters = 1.6 centimeters, but as I said before, writing the answer in meters just complicates things and makes them harder to understand. You could also say it is 0.000016 kilometers wide and it would be right, but too confusing.

-3/7 + 1/7 please help me i am on a text and i need help

Answers

Answer:

-3/7 + 1/7 equals - 2/7

Step-by-step explanation:

Think of it this way: 3/7- 1/7, then add the negative

Hopefully this helps you!

Answer:

-2 / 7 . Crown?

Step-by-step explanation:

1 / 7  + ( -3 ) / 7 = -2 / 7

Because the positive number is bigger than the negative number on a number line.

Negative numbers are on the left of a number line

Positive numbers are on the right of a number line

If you draw a number line you would go backwards 1 then -3, would become -2 because -2 is greater than -3

Hope this helps.

CAN I also get the crown from your other question and on here too?

given f(x)=4-3x, what is the value of f(5)?

Answers

Answer:

-11

Step-by-step explanation:

Can some help me?Its due tonight lol

Answers

Answer:

Alright angle b, d, and f are congruent to the 70 degree angle, or in other words the same. Subtract 70 from 180 and you get 110 or the sum of each remaining angles degrees. So angles a, c, g, and e are all 110 degrees.

what is the 20th term of the linear sequence?

1,7,13,19,25

Answers

Answer:

115

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 7 - 1 = 13 - 7 = 19 - 13 = 25 - 19 = 6

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 , thus

a₂₀ = 1 + (19 × 6) = 1 + 114 = 115

We are required to find the 20th term of the linear sequence.

The 20th term of the linear sequence 1,7,13,19,25 is 115

Given:

1, 7, 13, 19, 25

nth term = a + (n - 1)d

where,

n = number of terms

= 20

a = first term

= 1

d = common difference = 7 - 1

= 6

So,

nth term = a + (n - 1)d

20th term = 1 + (20 - 1)6

= 1 + (19)6

= 1 + 114

= 115

20th term = 115

Therefore, 20th term of the linear sequence 1,7,13,19,25 is 115

Read more:

https://brainly.com/question/17827686

m=-3; (1,4) write in slope intercept form

Answers

Answer:

y = -3x + 7

Step-by-step explanation:

4= -3(1) +0 I’m pretty sure b would be zero because that’s just the y intercept so
Other Questions
Daiki is creating a database for a paint store. Each color of paint would have its own record which will include the color name price and size. The price of the paint will be in its own a) table b) file c) field d) format What is a major difference between the personalities of Cash and Anse,according to the way Faulkner writes about each character?A. Cash is happy-go-lucky, but Anse is reserved.B. Cash acts irrationally, but Anse takes his time before reacting,C. Cash is miserable, but Anse is content.D. Cash thinks clearly, but Anse's thoughts do not make sense. Hi can someone please tell me what the answer is thanks! Are more people happier under socialism or capitalism what is rock pedestal what important advice to include about spyware, viruses and other types of malware Find the pH and fraction of association of a 0.100 M solution of the weak base B with Kb = 1.00 x 10^5. You deposit $18,265 in a bank account. Find the balance of 27 years of the account pays 1.75% annual interesnt compounded quarterly. The 9th Symphony was the last symphony that Beethoven wrote. True or false? (Beethoven lives upstairs) Ryanne is 14. Her brothers age is three more than half her age. How old is her brother? The Great Pyramid of Egypt was built for Queen Cleopatra.TrueorFalse Brielles piggy bank has all nickels and dimes. The total value of the money in her piggy bank is $7.80. If Briellehas 66 nickels, write and solve a linear equation to find the number of dimes she has. difference and similarity between academic and technical writing please help me answer this question!!! LM has the endpoints l at -5 and m to -9 .to find the point x so that x divideds the directed line segments LM in a 2:3 ratio find the difference. (12m + 1) - (5m - 4) What do you think life was like for a member of the highest caste? How different would it be for someone in the lowest caste? Angle measures and segment lengths. Algebra Find the value of each variable. A photon of blue light has a wavelength of 4.62 x 10m (462 nm). Calculate the energy of this photon Is 5/9 equivalent to 3/6 HELPPPP pls