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

the perimeter of a rectangular red sticker is 34 mm. it is 8 mm tall. how wide is it?​

Answers

Answer:

9mm

Step-by-step explanation:

34-16=18

18/2=9

which equation represents the graph below
A. y= x^2 + 3
B. y= -x^2 + 3
C. y= -x + 3
D. y= -x^2

Answers

Answer:

B

Step-by-step explanation:

The y-intercept is 3 and the parabola is facing down which means the x^2 has to be negative.

The price for a house with an area of 56 mx 48 m is RM375 800. Calculate the price for 1
square meter of the house correct to three significant figures.​

Answers

30I hope that helps you got this

how do I solve for x for number 4

Answers

Answer: 20.8

Step-by-step explanation:

Since it is an equilateral triangle, we know the bottom is also 24. We also know that line E is bisecting the base. So using the smaller right triangle we know that the hypotenuse is 24 and one leg is 12. So use the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\12^{2} +b^{2} =24^{2} \\144+b^{2} =576\\b^{2} = 432\\b= 20.8[/tex]

Find the simple interest paid to the nearest cent for each principal, interest rate, and time. $570, 2%, 4 years

Answers

Answer:

570 of 2% 4years

570×2÷100 4years

11.5 × 4÷12

3.8..

The formula to calculate the gravitational force between two objects is F_g=GM_1M_2/r^2, where M_1 and M_2 are the masses of the objects, G is the gravitational constant and r is the distance between the objects. Solve for M_1 in terms of F_g, G, M_2 and r.

Answers

Answer:

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Step-by-step explanation:

From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:

[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]

Thus, cross multiply to have;

[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]

then divide through by G[tex]M_{2}[/tex] to have,

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]


graph the point (-10,-7) on the coordinate plane

Answers

I think that’s right

please help ASAP... here is a question WRITE 894 290 000 IN SCIENTIFIC NOTATION​

Answers

Answer:

hey there, the answer is 8.9429 × 10^8

Answer:

8.9429 × 10^8

Step-by-step explanation:

ya the answer is 8.9429 × 10^8

how to solve this wokr​

Answers

Answer:

[tex]2a^{2} +4ab+2b^2[/tex]

Step-by-step explanation:

(a + b)(2a + 2b)

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

[tex]2a^{2} +4ab+2b^2[/tex]

3. A store clerk sold 60 pairs of sneakers. The
high-tops sold for $98.99 and the low-tops sold for
$129.99. If the receipts for the two types of sales
totaled $6,404.40, how many of each type of sneaker
were sold?

Answers

Answer:

High top pairs- 45

Low top pairs- 15

Step-by-step explanation:

Change the fraction 3/4 to a percent

Answers

Answer:

0.75

Step-by-step explanation:

what you do is divde 3 by 4 which equals to 0.75

Answer:

75%

Step-by-step explanation:

If your rounding 2 decimals. Hope this helps!

10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?

Answers

Answer:

Step-by-step explanation:

x=3

PLS HELP WILL MARK BRAINLIEST

Answers

It’s 112:8 I’m pretty sure:)

Help me plzz...!!!!!!!!!!

Answers

Answer:

i can see can we talk

Step-by-step explanation:

Directions Find the value of each variable

Answers

Answer:

X= 2 sqrt of 7

Y=2 sqrt of 7

Step-by-step explanation:

I just know the answer srry

A membership price for the local pool went
from $80 to $60. What is the percent
change in membership cost?

Answers

I think the percent change would be 25%

Cant seem to figure out the answer help?

Answers

Answer:

The surface area is 900cm^2

Step-by-step explanation:

Multiply 3 and 10 to get 30

Then square 30 by multiplying 30 x 30, to get 900.

Answer:

The Surface of the area is 30.

Step-by-step explanation:

Multiply 3 and 10. And you get 30. Hoped this helped : )

Identify the range of the function shown in the graph.

Answers

Answer:

-3 < x < 3

Step-by-step explanation:

The radius of each tire on Carson's dirt bike is 10 inches. The distance from his house to the corner of his street is 157 feet. How many times will the bike tire turn when he rolls his bike from his house to the corner? Use 3.14 to approximate π.

Answers

Answer:

30

Step-by-step explanation:

the street and the diameter of the bike are not measured in the same units. We have to convert them to the same units

1 feet = 12 inches

157 x 12 = 1884

circumference of a circle = 2nr

2 x 3.14 x 10 = 62.8 in

Number of revolutions = 1884/62.8 = 30

find the value of x. round to the nearest tenth. the diagram is not drawn to scale

Answers

It would be 11 divided by cos(24) since cos is adjacent over hyp. Then you would do 11/x = cos24 solving for x gives your answer

A baseball is hit in the air. Its height above the ground is described by the function
Ht=-16t^2+45t+5, where H(t) represents the height in feet of the ball t seconds after it is hit. To the nearest hundredth of a second, for how much time will the ball be in the air? Find algebraically.
help guys plz i suck at math, also step by step is needed Branliest is the reward like always

Answers

Answer:

2.9195

Step-by-step explanation:

To find the time we need to equate the function the zero and solve for t:

[tex] { - 16t}^{2} + 45t + 5 = 0[/tex]

Using the general formula we have that:

[tex]t = \frac{ - 45 + \sqrt{ {45}^{2} - 4 ( - 16)(5)} }{2( - 16)} \\ = \frac{ - 45 + \sqrt{2345} }{ - 32} [/tex]

then:

[tex]t = \frac{ - 45 + \sqrt{2345 } }{ - 32} = - 0.107 \\ or \\ t = \frac{ - 45 - \sqrt{2345} }{ - 32} = 2.9195[/tex]

Since the time has to be positive we conclude that the ball is in the air 2.9195 seconds.

What is −4|a - 13| ≤ −56?

Answers

Answer:

a ≤ 27

Step-by-step explanation:

The measure of angle CBD is 140 degrees. What is the measure of angle CBA?
B

Answers

Answer:

its a acute 120 degree angle

help plzzzzzzzzzzzzzz​

Answers

Answer:

a) 20ft

Step-by-step explanation:

just multiply the model length and the scale factor

A)20 Ft hope I’m not too late for you

c) Jasper and Emma are training for a marathon. Jasper runs 6 kilometers at a
time while Emma prefers to run in blocks of 3 kilometers. At the end of a
month, they realize that they have run same total number of kilometers. What
is the smallest number of kilometers that each must have run?

Answers

Answer:

The smallest number of kilometers that each must have ran is 6 km

Step-by-step explanation:

The distance Jasper prefers to run at a time = 6 km

The distance Emma prefers to run at a time = 3 km

The distance ran by Jasper at month end = The distance ran by Emma at the end of the month

The smallest number of kilometers that each must have ran is given by the lowest common multiple, LCM of 6 and 3 as follows;

The multiples of 6 are;

6 × 1 = 6, 6 × 2 = 12...

The multiples of 2 are;

3 × 1 = 3, 3 × 2 = 6...

∴ The LCM of which = 6

Therefore, the smallest number of kilometers that each must have ran = 6 km

write the function that represents the sequence in the table

Answers

A(n) = 6n

Every time the x value increases by 1, the y value increases by 6.

The circumference of a tree trunk is 50 ft

Answers

Answer:

So the length will be the same as the length of the torso

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Answers

Answer: Approximately 20 miles per gallon

Step-by-step explanation:

The line of best fit is an approximate average. In order to predict the fuel efficiency you just estimate the place where x = 4800 and see what the y value of the line is for that point. In this case it's around 20 miles per gallon.

Please answer the question above.

Answers

Answer:

40 degrees

Step-by-step explanation:

x=7 so 4x+12 would be (4×7) + 12)

28+12= 40

What is the slope of the line that passes through the points (8, 2) and (9, 3)? Write
your answer in simplest form.

Answers

Answer:

The slope of the line is 1

Step-by-step explanation:

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