A rectangle has a length that is 4 ft more
than its width. What are the length and
width of the rectangle if the rectangle has
a perimeter of 48 ft?

Answers

Answer 1

Answer:

length = 14 width = 10

Step-by-step explanation:

48/4=12

10+10+14+14=48

Answer 2
Width = W = 10 ft

Length = L = 14 ft

P = perimeter = 48 ft

Explanation:


P rectangle = 2L+ 2W
L = W + 4
P = 48

Substitute into formula:
P rectangle = 2L + 2W
48 = 2( W + 4 ) + 2W
48 = 2W + 8 + 2 W
48= 4W + 8
48 - 8 = 4W
40 = 4W
W = 40/4 = 10
W = 10

The rectangle has a length that is 4 ft more than its width : L = W + 4

Substitute : L = 10 + 4 = 14
L = 14 ft

I hope this help!!!

Related Questions

Explain how to write an equation from a graph in slope intercept form .

Answers

Step-by-step explanation:

To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The  y- coordinate is the value of b in the equation.

pls give brainest i only have 2

The slope intercept form is given by y = mx + c

What is the Slope Intercept Form of a Line?

The graph of the linear equation y = mx + c is a line with m as slope, m and c as the y-intercept. This form of the linear equation is called the slope-intercept form, and the values of m and c are real numbers.

Given here: Slope intercept form

We know that, the equation of a line in point slope form, where (x1, y1) is the point and slope m is:

(y – y₁) = m(x – x₁)

Here, (x, y₁) = (0, c)

Substituting these values, we get;

y – c = m(x – 0)

y – c = mx

y = mx + c

Therefore, the point (x, y) on the line with slope m and y-intercept c lies on the line if and only if y = mx + c

Hence, The slope intercept form is given by y = mx + c

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k1.6=13
i need help finding the value

Answers

Answer:

k=8.125

Step-by-step explanation:

just divide 13 by 1.6

(1) Compute the following sums:

(a) P150

i=1 2

(b) P50

n=1 n

(c) P60

n=10 n

(d) P25

n=1 3n2

(e) P55

i=1 (i + 2)

(f) P500

k=100 k

(g) P50

k=2 (k2 − 2k + 1)

(h) P20

m=10 m3

Solution: For the solutions to these, we will use the following results, which have been

established by Gauss’s formula, and the notation shown below for convenience:

S0(n) = Xn

i=1

1 = n S1(n) = Xn

i=1

i = n(n + 1)

2

S2(n) = Xn

i=1

i

2 = n(n + 1)(2n + 1)

6

S3(n) = Xn

i=1

i

3 =

n(n + 1)

2

2

(a) P150

i=1 2=2P150

i=1 1 = 2(150) = 300

(b) P50

n=1 n = (50)(50+1)

2 = 1275

(c) P60

n=10 n = P60

n=1 n − P9

n=1 n = (60)(61)

2 − (9)(10)

2 = 1785

(d) P25

n=1 3n2 = 3P25

n=1 = 3(25)(26)(51)

6 = 5525

(e) P55

i=1 (i + 2) = P55

i=1 i + P55

i=1 2 = (55)(56)

2 + 2(55) = 1650.

(f) P500

k=100 k = P500

k=1 k − P99

k=1 k = (500)(501)

2 − (99)(100)

2 = 120300

(g) P50

k=2 (k2 − 2k + 1) = P50

k=2 k2 − 2

P50

k=2 k + P50

k=2 1

= (P50

k=1 k2 − 1) − 2(P50

k=1 k − 1) + (P50

k=1 1 − 1)

= ( (50)(51)(101)

6 − 1) − 2( (50)(51)

2 − 1) + (1(55) − 1) = 40430

(h) P20

m=10 m3 = P20

m=1 m3 − P9

m=1 m3 = [ (20)(21)

2 ]

2 − [

(9)(10)

2 ]

2 = 46125

(2) A clock at London’s Heathrow airport chimes every half hour. At the beginning of the

n’th hour, the clock chimes n times. (For example, at 8:00 am the clock chimes 8 times,

at 2:00 pm the clock chimes fourteen times, and at midnight the clock chimes 24 times.)

The clock also chimes once at half-past every hour. Determine how many times in total

the clock chimes in one full day. Use sigma notation to write the form of the series before

finding its sum.

Solution: ¡¡ There is no solution for this problem. ¿¿

In city A, the temperature rises 9° from 8 am to 9 am. Then the temperature drops 8° from 9 am to 10 am. In city B, the temperature drops 5° from 8 am to 9 am. Then the temperature drops 4° from 9 am to 10 am.

a. What expression represents the change in city A?
b.What integer represents the change in temperature for city A?
c.What expression represents the change in city B?
d.What integer represents the change in temperature for city B?
e.Which city has the greater change in temperature from 8 am to 10 am?

Answers

9 -(-5)
14
-5-(-4)
-1
City A
I think this is right

Identify the value for the variable

Answers

Answer:

-12, 4

Step-by-step explanation:

7^-9 x 7^-3 = 7^-12

When you multiply exponents with the same base, you add them.

11^-4/11^-8 = 11^4

When you subtract exponents with the same base, you subtract the exponent in the numerator by the exponent in the denominator.

Shaun thinks that pi * 0 results in an irrational number. He thinks so because irrational and is rationalthe product of a rational number and an irrational number is irrational. Is Shaun correct? Explain why or why not.

Answers

Answer: No, Shaun is incorrect because pi never ends and is infinite and doesnt repeat not because its irrational and is rational the product of a rational number and an irrational number is irrational.

Step-by-step explanation:

Theres not really and explanation of how to get this answer you just need to think about it and see what would make sense.

A tennis racket normally cots $70. The tennis racket is on sale for 40% off. What is the sale price of the tennis racket?

Answers

Answer:

$42

Step-by-step explanation:

Answer:

$42

Step-by-step explanation:

To find the sale price of the tennis racket, multiply the original price by 0.6:

70(0.6)

= 42

So, the sale price of the tennis racket is $42


Using the existing midpoints of each side of the triangle, create the three medians. What do you observe about the way the medians Intersect?

Answers

Answer:

The three medians intersect at a single point.

Step-by-step explanation:

PLATO MAKE BRAINLIEST PLZZ

Centroid is that point where median draw from the center of each side in a triangle meet.

What is centroid?

The centroid is the centre point of the object. The point in which the three medians of the triangle intersect is known as the centroid of a triangle. It is also defined as the point of intersection of all the three medians.

Let,

There is a triangle ΔABC

Mark midpoints on sides AB, BC and CA which lets P, Q and R respectively.

Join PC, RB and QA

The point where PC, RB and QA meets called centroid.

Hence, the point of intersection of three medians is Centroid.

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Find the equation of the perpendicular bisector of AB when A(-7,2) and B(3,4)

Answers

Given:

Two points are A(-7,2) and B(3,4).

To find:

The perpendicular bisector of AB.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Slope of AB is

[tex]m_1=\dfrac{4-2}{3-(-7)}[/tex]

[tex]m_1=\dfrac{2}{3+7}[/tex]

[tex]m_1=\dfrac{2}{10}[/tex]

[tex]m_1=\dfrac{1}{5}[/tex]

Procut of slopes of perpendicular line is -1.

So, slope of perpendicular bisect is opposite of reciprocal of [tex]\dfrac{1}{5}[/tex].

[tex]m_2=-5[/tex]

Midpoint of AB is

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-7+3}{2},\dfrac{2+4}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4}{2},\dfrac{6}{2}\right)[/tex]

[tex]Midpoint=\left(-2,3\right)[/tex]

Slope of perpendicular bisector is -5 and it passes through (-2,3), so the equation of perpendicular bisector is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-3=-5(x-(-2))[/tex]

[tex]y-3=-5(x+2)[/tex]

[tex]y-3=-5x-10[/tex]

Add 3 on both sides.

[tex]y=-5x-10+3[/tex]

[tex]y=-5x-7[/tex]

Therefore, the equation of perpendicular bisector is [tex]y=-5x-7[/tex].

What is the simplified form of
72x16
50x36
? Assume x+0.
6
5x10
6
5x2
10

Answers

Answer:

The simplified form is  [tex]\frac{6}{5x^{10} }[/tex] ⇒ A

Step-by-step explanation:

To simplify a root divide the power of the variable by 2 to cancel itFactorize the coefficient of the variable and take out the repeated factor twice out the root

Let us solve the question

∵ The expression is [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex]

→ At first, divide simplify the coefficient of the variable

∵ [tex]\frac{72}{50}=\frac{36}{25}[/tex]

∵ 36 = 6 × 6 and 25 = 5 × 5

→ 6 and 5 repeated twice then the can go out the root one 6 and one 5

∴ [tex]\sqrt{\frac{36}{25}}=\frac{6}{5}[/tex]

→ Let us use the exponent rule with division [tex]\frac{a^{m} }{a^{n}}=a^{m-n}[/tex]

∵ [tex]\frac{x^{16}}{x^{36}}=x^{(16-36)}=x^{-20}[/tex]

→ To cancel the root divide the power by 2

∵ -20 ÷ 2 = -10

∴ [tex]\sqrt{x^{-20}}=x^{-10}[/tex]

∴  [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5}[/tex] × [tex]x^{-10}[/tex]

→ To change the power of x from (-) to (+) reciprocal x

∴ [tex]x^{-10}=\frac{1}{x^{10}}[/tex]

∴  [tex]\sqrt{\frac{72x^{16}}{50x^{36}}}[/tex] = [tex]\frac{6}{5x^{10} }[/tex]

The simplified form is  [tex]\frac{6}{5x^{10} }[/tex]

The complementary angle of 56° is

Answers

Answer:

90 degrees

Step-by-step explanation:

trust

Convert 77º F into kelvins.

Answers

Answer:

298.15

Step-by-step explanation:

A compound inequality using the variable x is

Answers

Answer:

The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 2 or as -1 < x < 2.

Answer:

x>-1, x<2 or -1<x<2

Step-by-step explanation:

usining this method, by a compound x is larger than -1 and x is smaller than 2. It can either be written as x > -1 and x < 2 or as -1 < x < 2.

Solve for g in the proportion.

Answers

Answer:

14

Step-by-step explanation:

Cross multiply, then divide: 18 × 7 = 126, 126 ÷ 9 = 14

I hope this helps!

Answer:

14

Step-by-step explanation:

Step 1:

7/9 = q/18       Equation

Step 2:

9q = 126     Multiply

Step 3:

q = 126 ÷ 9       Divide

Answer:

q = 14

Hope This Helps :)

which equation represents this sentence? one half the sum of a number and four is less than the quotient of five and the number

Answers

Answer:

The fourth one

Step-by-step explanation:

Three less then the quotient means you are subtracting 3 from a division problem. 1/2 the sum of a number and four means that there is going to be a variable and 4 in parenthesis that you will add before you multiply by 1/2.

7(n+4)=21 what is n?

Answers

Answer:

-1

Step-by-step explanation:

divide both sides by 7 and you will get (n+4)=3

then subtract 4 on both sides and get n is equal to -1

Answer:

-1

Step-by-step explanation:

(4, 5) and (-4, 3)
What’s the answer I need help

Answers

Answer:4(3)/(5)

Step-by-step explanation:

Use the complement rule for probabilities

Question

arces

Over the course of a week, an airline has 42 flights between New York and Los Angeles. Of these flights, 28 are considered

to be "on-time."

If you chose a particular flight at random, what is the probability that it would not be on-time? Express your answer as a

fraction.

Provide your answer below:

Answers

Answer:

The probability that a particularly randomly chosen flight will not be on time is 1/3

Step-by-step explanation:

The number of flights available between New York and Los Angelis = 42 flights

The number of flights that are considered to be on time = 28 flights

The probability that a particularly randomly chosen flight will not be on time = 1 - The probability that the flight will be on time

The probability that the flight will be on time = (The number of flights considered to be on time)/(The total number of flights available)

The probability that the flight will be on time = 28/42 = 2/3

∴ The probability that a particularly randomly chosen flight will not be on time = 1 - 2/3 = 1/3

The probability that a particularly randomly chosen flight will not be on time = 1/3.

The price of one share of a company’s stock declined $13.89 every day for 2.5 days. What was the stock’s total decline in price?
Which estimate uses compatible numbers to estimate the problem?
What is the exact answer?

Answers

Answer:

-$14(2.5) & -$34.73

Step-by-step explanation:

Which estimate uses compatible numbers to estimate the problem?  

✔ -$14(2.5)

What is the exact answer?  

✔ -$34.73

Answer:

answer is above

Step-by-step explanation:

Jonathan has a board that is 12 1/2 feet long that he needs cut into 5 equal pieces how long should each piece be

Answers

Answer:

2 1/2 per piece

Step-by-step explanation:

2
A community center charges x dollars for a summer activity if individuals are signed
up before the day of the activity. Individuals who sign up the day of the activity are charged
a fee of x + 0.20x dollars. Which expression also represents the fee for signing up the day
of the activity, and what does it mean about the fee? *
(5 Points)
A.1.20x, individuals signing up the day of the activity get ch arg ed20% more
B.0.8x, individuals signing up the day of the activity get ch arg ed 20% more
C.1.20x, individuals signing up the day of the activity get ch arg ed20% less
D.O.8x, individuals signing up the day of the activity get ch arg ed20%less

Answers

Answer:

A. 1.20x; individuals signing up the day of the activity get charged 20% more

Step-by-step explanation:

Amount charged before the day of activity = x

Amount charged on any individual who decides to sign up on the day of activity would be the normal price, x dollars, plus an additional price of 0.20x dollars.

0.20x = 20% of x.

That is, the additional fee added to the normal price is 20% of the normal price.

Therefore, amount paid on the day of the activity is x + 0.20x = 1.20x dollars.

What this fee means is that those who decide to sign up on the day of the activity are charged 20% more.

Suzanne Attired makes fashionable garments. During a particular week employees worked 360 hours to produce a batch of 132 garments, of which 52 were seconds (meaning they were flawed). Seconds are sold for $90 each at Attired's Factory Outlet Store. The remaining 80 garments are sold for $200 each. What is the labor productivity ratio of this manufacturing process

Answers

Answer:

$57.44 per hour

Step-by-step explanation:

Given that :

Hours worked = 360 hours

Production = 132 batches of garment

Of the 152:

52 were flawed (sold at $90 each)

80 were sold at $200 each

Labor productivity ratio: (output value / input value (hours worked))

Output value = [(52*$90) + (80*$200)]

Output value = $20,680

Labor productivity ratio = $20,680 / 360 hours

Labor productivity ratio = $57.44 per hour

Find the Product.
[tex](9f+10)^{2}[/tex]

Answers

Answer:

81f^2 + 180f + 100

Step-by-step explanation:

(9f +10)(9f+10)= 81f^2+ 90f+ 90f+100 = 81f^2 + 180f +100

Answer:

81f^2+180f+100

Step-by-step explanation:

(9f+10)^2

you can group it so it's:

(9f+10)(9f+10)

and then multiply that out (FOIL)

9f*9f = 81f^2

9f*10=90f   10*9f=90f    90f+90f=180f

10*10=100

Solve the inequality

Answers

Answer:

x<-9 oops so that would be A :)

Step-by-step explanation:

You're welcome. :)

Nathan will be working between 30 to 39 hours inclusive this week, which is 3 more than triple
what he worked last week. How many hours could have Nathan work last week?

Answers

Nathan could've worked 9 hours last week
So 30-3= 27 (three more)
then 27/3=9 (triple)
So if yoy were to triple the hours he worked last week, 9•3=27, then add the three more, 27+3=30, then this answer works
i hope this helps!

Is this right pls tell me ASAP

Answers

yep! its correct, 7*7p is 49p, and 7*5 is 35, so it is 49p+35

Ter.
Identify the property used in this equation:
(-2) + 6 + 1 = 1 + 6 + (-2)
Use the interactive tool tahyaluate the expression.

Answers

Answer:

commutative property

Step-by-step explanation:

Answer:

its commutative property and 5

Sam and Jude went to the cinema. Here is the list of prices: 4.75 $ for a ticket, 1.75 $ for a drink, 0.85 $ for a sweet. They paid with a bill of 20 $. How much change did they receive?

Answers

12.65 add all the numbers then subtract them from 20
4.75+1.75+0.85=7.35
20-7.35=12.65

hey what 4a + 5 - 7a = 35​

Answers

A=-10 put this in photo match it will help a lot!

Which of the following steps could be used to solve the equation 93 = x + 58?

Answers

Answer:

x=35

Step-by-step explanation:

93=x+58

-58   -58

35=x

x=35

Simply subtract 58 on both sides so it crosses out, isolating x.

Also x would be 35 in case you need that.

Your answer
2. Find the slope of the line that passes through each of the points. Make
sure you simplify! *
1 point
(4,-2)and (10,-2)
1/2
-1/2
O 0
1/6

Answers

0
The y for both is -2 which means no incline
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