the length of a certain rectangle is 5cm more than 3 times its width. if the perimeter of the rectangle is 74 what is the length and width

Answers

Answer 1

The perimeter of a rectangle is the sum of all four sides of the rectangle.

(Perimeter = 2width + 2length)

Let's assume the width of the rectangle to be x.

For length, the statement says that is equals to 3 times the width (= 3x) and 5cm more meaning 5cm would be added to 3 times the width.

Width = x

Length = 3x + 5

Perimeter = 2x + 2(3x+5)

74 = 2x + (6x+10)

74 = 8x + 10

solve for x

8x = 74 - 10

x = 64/8, x=8

Width = 8

length = 3(8)+5 = 29


Related Questions

NEED HELP IMMEDIATELY Which expression is equivalent to one over four n − 16? a. one over four(n − 4)
b. one over four(n − 64)
c. 4(n − 4)
d. 4(n − 64)

Answers

A because just multiply 1/4 by 16 and u get 4

Two jets leave an air base at the same time and travel in opposite directions. One jet travels 60 /mih faster than the other. If the two jets are 7848mi apart after 6 hours, what is the rate of each jet?

Answers

slower jet speed is x

[tex]6 x + 6(x + 60) = 7848 \\ 12x + 360 = 7848 \\ x = 624[/tex]
so the two speeds are 624 and 684

The speed of the slower jets and faster jets are 624 mi / Hr and 684 mi/hr respectively.

What is speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Let the speed of a slower jet be represented as 'x'

Now Given:

one jet travels 60 mph slower than the other.

Hence Speed of a faster jet will be = x  +   60

Distance = 7848  miles

Time = 6 hrs

Now we know that;

Distance is equal to the product of speed and time.

Framing in the equation we get;

Distance = (Speed of Faster Jet + Speed of Slower jet) × Time.

Substituting the given values we get;

7848  =  ( x  +  x  +  60  )  6

7848  =  12x  +  360

x  =  624

Speed of slower jet = 624 miles/hr

Speed of faster jet = 624  +  60  =  684 miles/hr

Hence Speed of the Faster jet is 684 miles/hr and the speed of the slower jet is 624 miles/hr.

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Solve the equation 4c^2+7c-5=0 using the quadratic formula.

Answers

[tex]c = \frac{-7+\sqrt{129} }{8}  ,\frac{-77-\sqrt{129} }{8}[/tex]

John invests a sum of money in a retirement Account with fixed annual interest rate of 2.63% compounded continuously.After 15 years the balance reaches 1,912.41.What was the amount of initial investment

Answers

Answer: The amoun of the initial value was $1,289.


Step-by-step explanation:

1. To solve this problem you must apply the formula shown below:

[tex]A=Pe^{rt}[/tex]

Where:

- [tex]A[/tex] is the account balance ([tex]A=1,912.41[/tex]).

- [tex]P[/tex] is the principal.

- [tex]r[/tex] is the annual interest ([tex]r=0.0263[/tex]).

- [tex]t[/tex] is the time in years ([tex]t=15[/tex]).

- [tex]e[/tex]=2.7182

2. You must substitute the values into the formula and then you must solve for [tex]P[/tex], as following:

[tex]1,912.41=Pe^{(0.0263)(15)}\\1,912.41=1.48P\\P=\frac{1,912.41}{1.48}\\P=1,289[/tex]

Answer:

$ 1,289

Step-by-step explanation:

p= 1289

5.6 Show your work
x 7.3
———

Answers

Hello there!

[tex]5.6*7.3[/tex]

Explanation:

↓↓↓↓↓↓↓↓

First you had to multiply without the decimal points, and then you put the decimal point it should be the correct answer.

[tex]56*73=4088[/tex]

5.6 it has one decimal place.

7.3 it has one decimal place.

Therefore, the answer should be the two decimal places.

[tex]=40.88[/tex]

Answer⇒⇒⇒⇒⇒40.88

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

The area of a certain state is 840,000 miles. what is this area in scientific notation

8.4 x 10^-4


84 x 10^-3


84 x 10^3


8.4 x 10^5


Plz help asap!!!!

Answers


[tex]84 \times10 \sqrt{?} [/tex]

The answer is D the last one.

Simplify -3[5 - (-8 + 6)]

Answers

First, solve the parenthesis

-8 + 6 = -2

-3[5 - (-2)]

Note that two negatives = one positive

-3[5 - (-2)] = -3[5 + 2]

Simplify. Solve the bracket

-3[5 + 2] = -3[8]

Simplify. Multiply to get the answer

-3 x 8 = -24

-24 is your answer

hope this helps

Answer:

-21

#RoadToGraduation

Step-by-step explanation:

plsss answer , thank youuuu

Answers

Hi

The answer is

A) The term 8f represents the cost of f stems of flowers at $8 per stem.


Thank you.

For this case we have the following expression:

[tex]13v + 8f + 6b + 3m\\[/tex]

That represents the total cost, in dollars, of the silk floral arrangements.

The variables are the following:

v: number of vases

f: amount of stems of flowers

b: quantity of stems of wood bark

m: number of packages of marbles

Thus, 8f Represents the cost associated with the quantity of stems of flowers, where f represents that amount

Answer:

option A

Find the value of a if x=3 is a solution to the equation x/a=7

Answers

if x=3
3/a=7
a(3/a)=a(7)
3=7a or 7a=3
(7a)/7=3/7
a=3/7

What are fact family's for 4,9,36

Answers

4 x 9 = 36

9 x 4 = 36

36/9 = 4

36/4 = 9

For every 50 emails that Nick sent in a month, he received 30 emails. What is the ratio in simplest form of the number of emails sent to the number of emails received by Nick that month?

Answers

50:30 or 50/30
Every 50 you get 30
Final answer:

The ratio of emails sent to emails received by Nick that month is 5:3 in its simplest form, determined by calculating their greatest common divisor.

Explanation:

The subject of your question is ratios and it falls under the category of Mathematics.

'For every 50 emails that Nick sent in a month, he received 30 emails.' This tells us about a ratio. A ratio is a way to compare amounts of something.

The ratio in this case is the number of emails sent by Nick to the number of emails he received. We express this ratio as '50:30'.

To simplify the ratio, we find the greatest common divisor (GCD) of 50 and 30, which is 10. So, we divide both numbers by 10. Thus, our simplified ratio is 5:3.

This means Nick sent 5 emails for every 3 emails he received, in simplest terms.

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A batch of cookies for 3/4 cup of flour.You want to make 1/2 of a batch.How much flour do you need?

Answers

For the total batch you need 3/4 cup and you only want one half of that, so you need to multiply 3/4 by 1/2

[tex] \frac{3}{4} \times \frac{1}{2} = \frac{3}{8} [/tex]

First will make the fraction is easier by turning it into 6/8 but because we’re halving it the we only halve the numerator, so it’s 3/8.

If this can’t be understood I’d gladly help elaborate

Find the perimeter of the triangle.

Answers

The base is from 2 to 7, which is 5 units long.

The height is from 1 to 8, which is 7 units tall.

Using the Pythagorean theorem we can calculate the hypotenuse:

Hypotenuse = √5^2 +7^2=

√25 +49=

√74=

8.6


Perimeter = 5 + 7 + 8.6 = 20.6


The answer is C.

Solve the equation using addition or subtraction.
4=q+13
A q=4
B q=17
C q=-9
D q=-2

Solve the equation using addition or subtraction.
5.5= -2+d
A d=5
B d=7.5
C d=5.5
D d=3.5

Solve the equation using multiplication or division
-7y=28
A y= -4
B y=4
C y=14
D y=35

Solve the equation using multiplication or division
-13 = m/ -5
A m=13/5
B m=45
C m=65
D m= 5/13

Answers

Answer:

1. Solve the equation using addition or subtraction.

[tex]4=q+13[/tex]

Taking like terms on one side, we get

[tex]4-13=q[/tex]

=> [tex]-9=q[/tex]

or [tex]q=-9[/tex]    (option C)

2. Solve the equation using addition or subtraction.  

[tex]5.5= -2+d[/tex]

Taking like terms on one side, we get

[tex]5.5+2=d[/tex]

So, [tex]d=7.5[/tex]    (option B)

3. Solve the equation using multiplication or division

[tex]-7y=28[/tex]

Dividing both sides by 7, we get

[tex]-y=4[/tex]

or [tex]y=-4[/tex]    (option A)

4. Solve the equation using multiplication or division

[tex]-13=\frac{m}{-5}[/tex]

Cross multiplying -13 and -5 to get the value of m

[tex]m=(-13)(-5)[/tex]

[tex]m= 65[/tex]      (option C)

The solutions of the equations are =

1) C) q = -9.

2) B) d = 7.5.

3) A) y = -4.

4) C) m = 65.

Given are the equation we need to solve them,

Let's solve the equations one by one:

1) 4 = q + 13

To isolate q, we can subtract 13 from both sides of the equation:

4 - 13 = q + 13 - 13

-9 = q

Therefore, q = -9.

The correct answer is C) q = -9.

2)5.5 = -2 + d

To isolate d, we can subtract -2 from both sides of the equation:

5.5 - (-2) = -2 + d - (-2)

5.5 + 2 = d

7.5 = d

Therefore, d = 7.5.

The correct answer is B) d = 7.5.

3) -7y = 28

To solve for y, we can divide both sides of the equation by -7:

(-7y) / (-7) = 28 / (-7)

y = -4

Therefore, y = -4.

The correct answer is A) y = -4.

4) -13 = m / -5

To isolate m, we can multiply both sides of the equation by -5:

-5 x (-13) = m

65 = m

Therefore, m = 65.

The correct answer is C) m = 65.

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Simplify: x+2/x^2-6x-16 ÷ 1/9x

Answers

Answer:

Step-by-step explanation:

Round the sum of 43.524 +3.004 to the nearest tenth

Answers

Answer:

46.50

I hope this helped


43.524 +3.004= 46.528

rounded you should get 46.530

sorry if i couldnt help hope i did! :)


There is an animal farm where chickens and cows live. All together, there are 82 heads and 192 legs. How many chickens and cows are there on the farm?

Answers

Answer:

There are 14 cows and 68 Chicken in the farm.

Step-by-step explanation:

A Cow has 4 legs

Chicken has 2 legs.

Lets take there [tex]x[/tex] chickens AND,

there are [tex]y[/tex] number of Cows.

Now we can write two equations for the number of heads and legs.

For the number of heads we can write,

[tex]x+y=82[/tex] <--------- 1st equation

For the number of legs we can write,

[tex]2x+4y=192[/tex] <------ 2nd equation

We can now solve the simultaneous equations to find [tex]x[/tex] and [tex]y[/tex]

Multiply 1st equation by 2 and deduct it from 2nd equation to remove [tex]x[/tex]

⇒[tex]2x+4y-2*(x+y)=192-164[/tex]

⇒[tex]2x+4y-2x-2y)=112-164[/tex]

⇒[tex]2y=28[/tex]

⇒[tex]y=14[/tex]

Therefore, there are 14 cows in the farm.

Now we can substitute the [tex]y[/tex] value to the 1st equation and find [tex]x[/tex] value.

[tex]x+14=82[/tex]

[tex]x=68[/tex]

Therefore, there are 68 chickens in the farm.

number 3.simplify 24cd/c

Answers

The answer is 24d because you have to simplify d_c first then you have 24c x  d_c  and then c cancels itself out so the answer is 24d.



two angles are supplementary if the sum of their measures is 180°. If one of two supplementary angles measures 85°, what is the measure of the other angle?

Answers

95° because 85 + x = 180 so you do 180 - 85 and get 95

95° because 85 + x = 180 so you do 180 - 85 and get 95

Which phrase correctly orders –23, 11, –17, and 5?


A.
–17 < –23 < 5 < 11

B.
–23 < –17 < 5 < 11

C.
5 < 11 < –17 < –23


D.
–23 < 11 < –17 < 5

Answers

B is in the correct order
B is the correct answer since -23 is the lower at then -17 and so on

If f(x)= 2x^2 -3x+1, find f(3)-f(2).

A. 0
B. 7
C. 17
and briefly explain pleaseee

Answers

f(3) = 2x² - 3x + 1

2(3)² - 3(3) + 1

18 - 9 + 1

F(3) = 10

f(2) = 2(2)² - 3(2) + 1

8 - 6 + 1

f(2) = 3

f(3) - f(2)

10 - 3

f(3) - f(2) = 7 because you find f(3) = 10, and f(2) = 3, and plug in the answer you found. This gives you 10 - 3, which is 7.

The value of f(3) - f(2) is 7 if the function f(x) = 2x² - 3x + 1 the correct answer is option B: 7.

To find f(3) and f(2), we need to plug the respective values of x into the given function f(x) = 2x² - 3x + 1 and then subtract the results.

f(3):

f(3) = 2(3)² - 3(3) + 1

f(3) = 2(9) - 9 + 1

f(3) = 18 - 9 + 1

f(3) = 10

f(2):

f(2) = 2(2)² - 3(2) + 1

f(2) = 2(4) - 6 + 1

f(2) = 8 - 6 + 1

f(2) = 3

Now, let's find f(3) - f(2):

f(3) - f(2) = 10 - 3 = 7

So, the value of f(3) - f(2) is 7.

The correct answer is option B: 7.

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im confused, picture up above

Answers

Answer:

Its Option B

Step-by-step explanation:

Total Amount of Ice Cream = 2/3 cup

Ice Cream Taken = Two Scoops of 1/6 cups = 2 x 1/6 = 2/6

Ice Cream Left = Total Amount of Ice Cream - Ice Cream Taken

                         =  2/3  -  2/6

                         =   2/6

Hope That explains it!

Brainliest?

Mr.santino needs a total of 406 forks for his restaurant. He currently has 278 forks .15 if each set has 12 forks ,what is the minimum number of sets of forks he should buy?

Answers

he should buy 11 sets of forks, hope this helped! <3

A theater can seat 120 people. The number of rows is 7 less than the number of seats in each row. How many rows of seats are there?

Answers

Let x be the number of rows.

If the number of rows is 7 less than the number of seats in each row, then the number of seats in a row is x+7. The total number of seats is

x·(x+7).

You know that a theater can seat 120 people, then

x·(x+7)=120.

Solve it:

[tex]x^2+7x-120=0,\\\\D=7^2-4\cdot (-120)=49+480=529,\ \sqrt{D}=23,\\\\x_1=\dfrac{-7+23}{2}=8, \ x_2=\dfrac{-7-23}{2}=-15.[/tex]

The number of rows must be positive, then x=8.

Answer: there are 8 rows with 15 seats at each.

A surplus is

When you spend more than you have in income

When you spend less than you have in income

When you spend the same amount that you have in income

Another word for income

Answers

It is when you spend less money than you have in income because a surplus is when there is extra money left over.

A surplus is "When you spend less than you have in income".

What is income?

Income is the monetary value that a person earns against a service or a business.

When the person spends less than his income or spends less than the expected expenditure, then the extra saved money is known as a surplus.

Hence, A surplus is "When you spend less than you have in income".

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P=a+b-4 you have to solve for a

Answers

P = a + b - 4

subtract b from both sides

P - b = a - 4

add 4 to both sides

P - b + 4 = a

Final answer:

To solve for 'a' in the equation P = a + b - 4, you should subtract 'b' from both sides and add 4 to both sides to get a = P - b + 4.

Explanation:

The question asks to solve for a in the equation P = a + b - 4. To do this, we need to isolate a on one side of the equation. Thus, we start by subtracting b from both sides and then adding 4 to both sides. The resulting equation will be a = P - b + 4. This procedure is quite different than solving quadratic equations like ax² + bx + c = 0, where we have to use the quadratic formula -b ± √b² - 4ac / 2a to find the solutions.

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Which proportion correctly shows the equivalence of two ratios?

A. 2:3=27:18
B. 14:35=7:2
C. 4:5=32:40
D. 13:39=6:2

Answers

C. 4:5=32:40 is your answer

Treat each ratio like fractions. Note the equal sign. This means that, when each fraction is simplified, they would be the same.

4/5 = 4/5

(32/40)/(8/8) = 4/5

4/5 = 4/5

(C) is your answer

~Rise Above the Ordinary, Senpai


Help me to answer now ineed this
Please...

Answers

ANSWER TO QUESTION 1

[tex]\frac{\frac{y^2-4}{x^2-9}} {\frac{y-2}{x+3}}[/tex]

Let us change middle bar to division sign.

[tex]\frac{y^2-4}{x^2-9}\div \frac{y-2}{x+3}[/tex]

We now multiply with the reciprocal of the second fraction

[tex]\frac{y^2-4}{x^2-9}\times \frac{x+3}{y-2}[/tex]

We factor the first fraction using difference of two squares.

[tex]\frac{(y-2)(y+2)}{(x-3)(x+3)}\times \frac{x+3}{y-2}[/tex]

We cancel common factors.

[tex]\frac{(y+2)}{(x-3)}\times \frac{1}{1}[/tex]

This simplifies to

[tex]\frac{(y+2)}{(x-3)}[/tex]

ANSWER TO QUESTION 2

[tex]\frac{1+\frac{1}{x}} {\frac{2}{x+3}-\frac{1}{x+2}}[/tex]

We change the middle bar to the division sign

[tex](1+\frac{1}{x}) \div (\frac{2}{x+3}-\frac{1}{x+2})[/tex]

We collect LCM to obtain

[tex](\frac{x+1}{x})\div \frac{2(x+2)-1(x+3)}{(x+3)(x+2)}[/tex]

We expand and simplify to obtain,

[tex](\frac{x+1}{x})\div \frac{2x+4-x-3}{(x+3)(x+2)}[/tex]

[tex](\frac{x+1}{x})\div \frac{x+1}{(x+3)(x+2)}[/tex]

We now multiply with the reciprocal,

[tex](\frac{(x+1)}{x})\times \frac{(x+2)(x+3)}{(x+1)}[/tex]

We cancel out common factors to  obtain;

[tex](\frac{1}{x})\times \frac{(x+2)(x+3)}{1}[/tex]

This simplifies to;

[tex]\frac{(x+2)(x+3)}{x}[/tex]

ANSWER TO QUESTION 3

[tex]\frac{\frac{a-b}{a+b}} {\frac{a+b}{a-b}}[/tex]

We rewrite the above expression to obtain;

[tex]\frac{a-b}{a+b}\div {\frac{a+b}{a-b}}[/tex]

We now multiply by the reciprocal,

[tex]\frac{a-b}{a+b}\times {\frac{a-b}{a+b}}[/tex]

We multiply out to get,

[tex]\frac{(a-b)^2}{(a+b)^2}[/tex]

ANSWER T0 QUESTION 4

To solve the equation,

[tex]\frac{m}{m+1} +\frac{5}{m-1} =1[/tex]

We multiply through by the LCM of [tex](m+1)(m-1)[/tex]

[tex](m+1)(m-1) \times \frac{m}{m+1} + (m+1)(m-1) \times \frac{5}{m-1} =(m+1)(m-1) \times 1[/tex]

This gives us,

[tex](m-1) \times m + (m+1) \times 5}=(m+1)(m-1)[/tex]

[tex]m^2-m+ 5m+5=m^2-1[/tex]

This simplifies to;

[tex]4m-5=-1[/tex]

[tex]4m=-1-5[/tex]

[tex]4m=-6[/tex]

[tex]\Rightarrow m=-\frac{6}{4}[/tex]

[tex]\Rightarrow m=-\frac{3}{2}[/tex]

ANSWER TO QUESTION 5

[tex]\frac{3}{5x}+ \frac{7}{2x}=1[/tex]

We multiply through with the LCM  of [tex]10x[/tex]

[tex]10x \times \frac{3}{5x}+10x \times \frac{7}{2x}=10x \times1[/tex]

We simplify to get,

[tex]2 \times 3+5 \times 7=10x[/tex]

[tex]6+35=10x[/tex]

[tex]41=10x[/tex]

[tex]x=\frac{41}{10}[/tex]

[tex]x=4\frac{1}{10}[/tex]

Method 1: Simplifying the expression as it is.

[tex]\frac{\frac{3}{4}+\frac{1}{5}}{\frac{5}{8}+\frac{3}{10}}[/tex]

We find the LCM of the fractions in the numerator and those in the denominator separately.

[tex]\frac{\frac{5\times 3+ 4\times 1}{20}}{\frac{(5\times 5+3\times 4)}{40}}[/tex]

We simplify further to get,

[tex]\frac{\frac{15+ 4}{20}}{\frac{25+12}{40}}[/tex]

[tex]\frac{\frac{19}{20}}{\frac{37}{40}}[/tex]

With this method numerator divides(cancels) numerator and denominator divides (cancels) denominator

[tex]\frac{\frac{19}{1}}{\frac{37}{2}}[/tex]

Also, a denominator in the denominator multiplies a numerator in the numerator of the original fraction while a numerator in the denominator multiplies a denominator in the numerator of the original fraction.

That is;

[tex]\frac{19\times 2}{1\times 37}[/tex]

This simplifies to

[tex]\frac{38}{37}[/tex]

Method 2: Changing the middle bar to a normal division sign.

[tex](\frac{3}{4}+\frac{1}{5})\div (\frac{5}{8}+\frac{3}{10})[/tex]

We find the LCM of the fractions in the numerator and those in the denominator separately.

[tex](\frac{5\times 3+ 4\times 1}{20})\div (\frac{(5\times 5+3\times 4)}{40})[/tex]

We simplify further to get,

[tex](\frac{15+ 4}{20})\div (\frac{(25+12)}{40})[/tex]

[tex]\frac{19}{20}\div \frac{(37)}{40}[/tex]

We now multiply by the reciprocal,

[tex]\frac{19}{20}\times \frac{40}{37}[/tex]

[tex]\frac{19}{1}\times \frac{2}{37}[/tex]

[tex]\frac{38}{37}[/tex]

PLEASE HELP!! WILL MARK BRAINLIEST! NO ONE HAS BEEN ABLE TO HELP!

Answers

Answer:  A


Step-by-step explanation:

Let us first observe behavior in only quadrant 1 .

On x-axis one small box represent one year.

On y-axis one small box represent  one dollar.

If we see the 1 year on x-axis its corresponding value of dollar on y -axis is in mid of 4 dollars and 5 dollars.

Now if we see the 2nd year on x-axis its corresponding value of dollar on y-axis is at 6 dollars .

It concluded that after each year 0.5 dollars per pound increases.

We can see the same behavior throughout the straight line.


140 students are going in a field trip. They fill up a total of 4 buses equally. How many students are on each bus?

Answers

Your answer is 35

Hope this helps

The answer is 35 students in each bus. You just have to divide the number of students (140) and the number of buses (4). Then you'll get 35
Other Questions
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