The perimeter of a rectangle is 158 cm. If the length is 7 more than 3 times the width:
i)
Write an equation for the length (l) in terms of the width (w).

Use your understanding of simultaneous equations to determine the unknown
dimensions.

Find the area of the rectangle.

Answers

Answer 1
Width of rectangle = x
Length =3x+7
Perimeter of rectangle = 158cm
2(l+w)=158
2(3x+7+x)=158
2(4x+7)=158
8x+14=158
8x=158-14
x=144/8
x=18
Therefore the width of the rectangle is 18cm
Length=3x+18+7
54+7=61cm
Area=lxw
=61x18
=1098^2

Related Questions

Use π = 3.14, and round your answer to the nearest hundredth

Answers

Answer:

3.13

Step-by-step explanation:

Because the 4 is in the hundreds place. The rule for the number would be less than five so round down. 4-1=3.

The value of π to the nearest hundredth is 3.14.

What is a place value?

Place value, which is related to a digit's location in a number, is the amount that each digit is worth.

Given:

An equation,

π = 3.14

To round off the number to the nearest hundredth:

The digit at the hundredth place in decimal is 4.

And the left to the digit is 3.

The number 4 is less than the number 5.

So, there will be no changes in the approximation of the decimal number.

So, π = 3.14.

Therefore, the value is π = 3.14.

To learn more about the place value;

https://brainly.com/question/27734142

#SPJ6

Find the area of the region in blue.

Round to the nearest whole number.

Answers

Answer:

1696 m^2

Step-by-step explanation:

Using the area of the larger circle to minus the area of smaller one, so A = 2*pi*r^2. 24^2*pi - 6^2*pi = 540 pi = 1696 m^2

1) How many fourths are in one whole?
2) How many eighths are in one whole?
3) How many thirds are in one whole?
PLEASE HELP ASAP

Answers

Answer:

4 fourths are in one whole

8 eighths are in one whole

and 3 thirds are in one whole

Step-by-step explanation:


Please help! I need this as soon as possible!

Answers

Answer:

1. 136°

2. 36°

3. 136°

4. 36°

5. 136°

6. 36°

7. 136°

8. 44°

Step-by-step explanation:

i don't know english very well so i don't knoe what transplant is but i think i got it right with my logic

Answer:

m∠1 = 136°

m∠2 = 44°

m∠3 = 136°

m∠4 = 44°

m∠5 = 136°

m∠6 = 44°

m∠7 = 136°

Step-by-step explanation:

Corresponding angles, like m∠1 and m∠5, need to equal each other.

m∠1 and m∠3 are the same

m∠3 and m∠2 need to be added together to equal 180


What is the value of 7P3?
021
35
210
840

Answers

Answer:

210

Step-by-step explanation:

The answer for 7p3 is : 210. This can be solved in the following way: 7p3 is an expression for permutation which means the number of ways of arranging 3 items from a total of 7 items.

Hope This Help?

Please Mark Me Brainly!

PLEASE HELP DUE IN 30 MINUTES ILL GIVE You BRAINLY

Answers

Answer:

C

Step-by-step explanation:

Your answer is C this is just observation so no need for explanation

Gabe paid $ 120 for 3 shirts and 2 pairs of pants.

Each shirt cost $15.
Each pair of pants cost the same amount.
The equation 3s + 2p = 120 can be used to determine p, the cost of each pair of pants.

Gabe solved the equation using the following steps:

3s + 30=120

3s= 90

s= 30

Therefore, Gabe calculates the cost for each pair of pants as $30. Did Gabe find the cost for each pair of pants correctly?

If he did, justify each step of Gabe's solution using mathematical properties.
If he did not, describe any error Gabe made in his calculations and determine the price of each pair of pants.

Answers

Answer:

3s+2p= $120

each shirt is $15

3(15)+2p= $120

45+p=120

p= $75

each pair of pants is $75 and each shirt is $15

3s+2p= $120

3(15)+ 2(75)

okay, this is wrong, never mind, im confused-

welp ._.

Step-by-step explanation:

he doesnt add the pants to the equation and he finds the value of the shirts when we already know that value.

if the cost 6 books is Rs.720. find the cost of 9 books.​

Answers

Answer: 1080

Explanation:
720 divided by 6= 120
120 times 9= 1080

Answer:

Rs.1080

Step-by-step explanation:

1 book=720/6=120

9 books=120*9=1080

A passenger cruise ship from Bahamas takes 48 hours at an average speed of 21 knots to reach its
destination. How much time will the ship take to the port if the captian accelerates the speed to
24 knots?

Answers

Answer:

the other person is right hope this cockledodledoes your day

The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3

Answers

Answer:

Option B (16 cm³)

Step-by-step explanation:

GIVEN :-

Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³

TO FIND :-

Volume of cone

FACTS TO KNOW BEFORE SOLVING :-

Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^2h[/tex]Volume of a cone having radius 'r' and height 'h' is  [tex]\frac{1}{3} \pi r^2 h[/tex]

Hence ,

Volume of cylinder = Thrice the volume of cone

[OR]

Volume of cone = One third of volume of cylinder

PROCEDURE :-

Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]

The cost of leveling a square park at Rs.15 per square meter is Rs.6000. Then the side of the square is ________. *

Answers

Answer:

20 m

Step-by-step explanation:

Given :

Leveling cost per square meter = 15

Total leveling cost = 6000

Number of square park leveled :

Tottal cost / unit cost

6000 / 15

= 400 m²

The length of one side of the square

Area of square = s²

where, s = side length

400 = s²

Sqrt(400) = s

s = 20 m

Length of one side = 20 m

A(5,1)B(x,7) C(8,2) are three points such that AB=2AC find all values of x

Answers

Wrongggggggggggggggggggggg

Solve the compound inequality. 6 – x > 15 or 2x – 9 ≥ 3 A. x > 9 or x ≤ 6 B. x < 9 or x ≥ –6 C. x > –9 or x ≤ –6 D. x < –9 or x ≥ 6

Answers

Answer:

Step-by-step explanation:

Solve the compound inequality. 6 – x > 15 or 2x – 9 ≥ 3 A. x > 9 or x ≤ 6 B. x < 9 or x ≥ –6 C. x > –9 or x ≤ –6 D. x < –9 or x ≥ 6

James made 8 pancakes that are all approximately 4 inches in diameter, and 0.5 inches tall. He stacks all of the pancakes on top of each other. What is the total approximate volume of the stack of pancakes rounded to the nearest cubic inch?

A. 16 cubic inches
B. 50 cubic inches
C. 100 cubic inches
D. 201 cubic inches​

Answers

Answer:

The answer is A:16

Step-by-step explanation:

8+4+0.5=16 I think so

Find the height of a trapezoid that has an area of 64 square inches, and bases of 8 and 12 inches.

Answers

Answer:

6.4 inches

Step-by-step explanation:

Area= (a+b)/2 x h

64 in^2= (8+12)/2 x h

= 20/2 x h

= 10 x h

64 in^2 / 10 = height of 6.4 inches

what fraction is equal to 3 1/4

Answers

Answer:

13/4

Step-by-step explanation:

I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!!
hurryy

Answers

Answer:

A

Step-by-step explanation:

This is a really easy algebra question tho

1. Step 1 -> Step 2 is wrong

2. Step 1:

3. But Step 2:

4. She added 0.2 to each term instead of multiplying by 0.2

Answer:

A (I carefully did it)

Step-by-step explanation:

This is a really easy algebra question tho

1. Step 1 -> Step 2 is wrong

2. Step 1:

[tex]0.2(4+1.4y-2.1)=0.8+0.28y-0.42[/tex]

3. But Step 2:

[tex]0.2(4+1.4y-2.1)\neq 4.2+1.6y-1.9[/tex]

4. She added 0.2 to each term instead of multiplying by 0.2

f(x) = 8x - 1
Find f(-10) = 

Answers

Answer:

-81

Step-by-step explanation:

f(x) = 8x -1

f(-10) = 8(-10) -1

f(-10) = -80-1

f(-10) = -81

I need help or I will fail

Answers

4 is the correct anwser

Boris runs 9 miles in 57 minutes.
How many miles does he run per minute?

(round to the nearest hundredth)

Answers

Answer:

0.16

Step-by-step explanation:

Speed= 9 miles/57 minuets=(9/57)

Now we want to figure out how many miles Boris runs per minuet

9/57= 0.15

Round to the nearest hundredth and it's 0.16.

Hope this helps!

the answer is 0.16...

The point (3,-1) is on the line given by which equation below?
HELPP MEE PLSS

Answers

Answer:

your answer will be C. y = x-4

Step-by-step explanation:

hope it helps you...

4400 dollars is placed in an account with an annual interest rate of 7%. To the nearest year, how long will it take for the account value to reach 10100 dollars?

Answers

Answer:

19 years approx

Step-by-step explanation:

Given data

Principal P= $4400

Rate r=7%

Final amount A=$10100

Time t= ???

Let us apply the simple interest expression

A=P(1+rt)

substitute

10100=4400(1+0.07*t)

open bracket

10100=4400+308t

10100-4400=308t

5700=308t

t= 5700/308

t= 18.50

Hence the time is 19 years approx

What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?

Answers

Answer:

x = 7

Step-by-step explanation:

(7 + 6) - (14 - 1) = 13 - 13 = 0

Answer:

x = 7

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ([tex]\frac{x}{y}[/tex] )

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

ln(x + 6) - ln(2x - 1) = 0

ln ([tex]\frac{x+6}{2x-1}[/tex] ) = 0

[tex]\frac{x+6}{2x-1}[/tex] = [tex]e^{0}[/tex] = 1 , then

2x - 1 = x + 6 ( subtract x from both sides )

x - 1 = 6 ( add 1 to both sides )

x = 7

A scientist began a study with a sample of 1,500 bacteria. He noticed that
the number of bacteria in the sample after t days can be modeled by the
equation P=1,500.5. In this equation, what does 5t represent?
A. The number of bacteria increases by a factor of t each day for 5 days.
B. The number of bacteria increases by t bacteria after 5 days.
C. The number of bacteria increases by 5 bacteria each day.
D. The number of bacteria increases by a factor of 5 each day.

Answers

Answer:

C

Step-by-step explanation:

The number of dollars in Chi's bank account on Tuesday was 4 times as much as the amount on Friday. How many dollars were in the account on Friday?

Answers

Answer:

Step-by-step explanation:

Since we are not given actual numerical values then we can use the available information to write an equation that calculates the final amount in the account on Friday (f). In this equation, x will be our variable that represents the amount of money in the account on Tuesday. Since the amount on Tuesday was 4 times more than on Friday, we need to divide the amount on Tuesday by 4 to get the amount on Friday.

f = [tex]\frac{x}{4}[/tex]

This equation will give us the value of the account on Friday after we input the value of x.

AABC is dilated by a factor of 4 to produce AA'B'C'.

What is A'C, the length of AC after the dilation? What is the measure of ZA?

Answers

Answer:

A

Step-by-step explanation:

because the sky is blue

The length of AC after dilation will be 20. Then the measure of the angle ∠A' will be 37°.

We have given that,

AABC is dilated by a factor of 4 to produce AA'B'C'.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The triangle ΔABC is dilated by a factor of 4 to produce the triangle ΔA'B'C'.

Then the length of AC after dilation. We have

A'C' = scale factor x AC

A'C' = 4 x 5

A'C' = 20

Then the measure of the angle ∠A' will be

There is no effect of dilation on the angle.

∠A = ∠A' = 37°

Thus, the correct option is A.

More about the dilation link is given below.

brainly.com/question/2856466

#SPJ5

Felipe planted some seeds for a science project. One of his plants grew 6 1/2 inches in the first week, and then it grew 5 3/4 inches during the second week. How much did the plant grow during these two weeks? The answer should be written as a proper mixed number and should be simplified, if possible. *ill give brainliest*

Answers

Answer:

12 1/4

Step-by-step explanation:

help me plz! I dont know how to solve it​

Answers

Answer: 170%

Step-by-step explanation:

Write the equation of a circle with center (0,−6) and radius 4 in general form.


Answers

Answer:

x^2 + (y + 6)^2 = 4^2

Step-by-step explanation:

The general form we need here is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

If the center is at (0, -6) and the radius is 4, then the desired equation is

(x - 0)^2 + (y + 6)^2 = 4^2, or just

x^2 + (y + 6)^2 = 4^2

Find the value of X. Please help ASAP. I have no idea how to do this!!

Answers

Answer:

see below

Step-by-step explanation:

the properties of a parallelogram is that the co-interior angles with 2 parallel sides , adds up to 180 degrees

so 180 - 121 = 59 degrees

x = 59 degrees

hope this helps, please do mark it

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