The perimeter of a rectangle is about 13.9 cm. If you double the width of the rectangle the perimeter is about 17.8 cm. Find the dimensions of the smaller rectangle.

Answers

Answer 1

Answer:

5cm by 1.95cm

Step-by-step explanation:

Let the length of the rectangle be x

Let the width be y

Perimeter of a rectangle = 2x + 2y

If the initial perimeter of a rectangle is about 13.9 cm, then;

13.9 = 2x + 2y ..... 1

If when the width is double the perimeter is 17.8cm, then;

17.8 = 2x + 4y ..... 2

Subtract 1 from 2;

13.9 - 17.8 = 2y - 4y

- 3.9 = -2y

y = 3.9/2

y = 1.95 cm

Substitute y = 1.95 into 1 to get x;

From 1;

13.9 = 2x + 2y

13.9 = 2x + 2(1.95)

13.9 = 2x + 3.9

2x = 13.9-3.9

2x = 10

x = 5 cm

Hence the dimension of the smaller triangle is 5cm by 1.95cm


Related Questions

*WORKSHEET ABOVE* HURRY!! please answer all the questions correctly AND SHOW YOUR WORK FOR EVERY SINGLE QUESTION PLEASE HURRY!!! THIS IS WORTH 20 POINTS

Answers

Answer: I am only in 4th grade !

Step-by-step explanation: I dont know ?

multiple the percentage by your price , whatever you get there should be added to the original price for the final price .

Example: 13.99 x .04 = .55
13.99 + .55 = 14.54

A tree planted today has a height of 5 feet and grows one foot per month. Is the height of the tree a function of the number of months? If so, is it a linear or a non-linear function?

Answers

Answer:

Liner function

x = 5 + n

Step-by-step explanation:

Given:

Height of tree = 5 ft

Grow per month = 1 ft

Find:

Equation:

Computation:

Assume;

New height of tree x

Number of month = n

x = 5 + 1(n)

x = 5 + n

determine the x-intercepts of the function. check all that appy​

Answers

Answer:

the answer to that is =(-2,0) , because when you draw your graph you can see where the curve touches, the x axis on -2 and 0.

Answer:

(- 2, 0 ) and (0, 0 )

Step-by-step explanation:

The x- intercepts are where the graph intersects with the x- axis.

Here, there are 2 points where the graph crosses the x- axis, that is

(- 2, 0 ) and (0, 0 )

100 points! PLEASE HELP and EXPLAIN

Answers

Answer:

3 on the reasons side is reflexive property

Step-by-step explanation:

AM = DM = AB - Transitive property

(look at your notes)

Answer:

it's a little upside down but i think its B

Step-by-step explanation:

Bill, Phil and Jenny are siblings. Bill is twice as old as Phil. Jenny is two years younger than Bill. Currently, their dad is twice as old
as the sun of their ages. In nine years, their dad's age will be equal to the sum of his three kids' ages at that time. What is Jenny's
current age?

Answers

Answer:

as below

Step-by-step explanation:

current ages

Bill is 8

Jenny is 6

and Phil is 4

the dad is  36

9514 1404 393

Answer:

  6

Step-by-step explanation:

Let p, b, j, d represent the ages of Phil, Bill, Jenny, and Dad. We are given the relations ...

  b = 2p

  j = b -2

  2(p +b +j) = d

  (p+9) +(b+9) +(j+9) = d+9

_____

Solving the last equation for d, we get ...

  (p +b +j) +18 = d

Substituting for the sum of p, b, j in the third equation, we have ...

  2(d -18) = d

  d = 36 . . . . . . . . add 36-d

Substituting for b and j in the third equation, we get ...

  2(p +(2p) +(2p-2)) = 36 . . . . .  uses b=2p in the 2nd equation

  10p -4 = 36 . . . . . . . . . . . . . . . collect terms

  p = 40/10 = 4 . . . . . . add 4; divide by 10

  b = 2p = 8

  j = b -2 = 6

Jenny's current age is 6.

_____

All of the ages are ...

  Bill: 8; Jenny: 6; Phil: 4; Dad: 36

5
X-2
2
3
{x+1
I need help

Answers

Answer:

is this a question or we suppose to slice it or what

Answer:

− 218 x − 223

Step-by-step explanation:

HELP ASAP PLEASS
Jane graded an assignment from all the students in one class. She graded a total of 324problems. Find Jane's daily gross earnings.
1-100 problems $0.02 each.
101-200 problems $0.08 each.
over 200 problems $0.12each.

Answers

Answer:

I'm assuming #2 but just wanted to make sure.

Step-by-step explanation:

Possibility 1:

100 * 0.02 =    2.00

100 * 0.08 =    8.00

124 * 0.12 =  +14.88

                   $24.88

Possibility 2:

324 * 0.12 = $38.88

find cos b in the triangle
A 5/12
b 12/13
c12/5
d 5/13

Answers

Answer:

D

Step-by-step explanation:

cos β

= Adjacent / Hypotenuse

= 5/ 13

Answer:

5/13

Step-by-step explanation:

Which expression is equivalent to (x Superscript 27 Baseline y) Superscript one-third?
x cubed (RootIndex 3 StartRoot y EndRoot)
x Superscript 9 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 27 Baseline (RootIndex 3 StartRoot y EndRoot)
x Superscript 24 Baseline (RootIndex 3 StartRoot y EndRoot)

Answers

Answer:

Answer is D

Step-by-step explanation:

On Edge 2020

Your teacher has 72 juice boxes and 90 candies for a Halloween party. Each student will receive the same amount of juice boxes/candies, and all juice boxes/candies must be used.

What is the greatest number of students that can attend the party?

Answers

The answer should be 18 each kid gets 4 juice box and 5 candies

Can anyone please simplify this?:
(7^3)^6

Answers

Answer:

7^18

Step-by-step explanation:

When you have an exponent to another exponent, you can multiply the exponents.

(7^3)^6

3*6 = 18

7^18

The function g(x) is a transformation of the cube root parent function,
f(x) = y. What function is g(x)?
5
g(x)
f(x)
5
-5
A. g(x) = 1 va
B. g(x) = a + 2
C. g(x) = 27

Answers

Answer:

g(x) = [tex]2(\sqrt[3]{x})[/tex]

Step-by-step explanation:

Parent function given in the graph attached is,

f(x) = [tex]\sqrt[3]{x}[/tex]

Function 'f' passes through a point (1, 1).

If the parent function is stretched vertically by 'k' unit,

Transformed function will be,

g(x) = k.f(x)

Therefore, the image of the parent function will be,

g(x) = [tex]k(\sqrt[3]{x})[/tex]

Since, the given function passes through (1, 2)

g(1) = [tex]k(\sqrt[3]{1})[/tex] = 2

⇒ k = 2

Therefore, image of the function 'f' will be,

g(x) = [tex]2(\sqrt[3]{x})[/tex]


A school club wants to collect at least 500 canned goods for a school food drive. The club has already collected 30 canned goods
Part A
If 10 club members each collect the same number of canned goods, which inequality represents the minimum number of canned goods, n, each club
member must select for the club to meet the goals?

Answers

Answer:

The correct answer is 10n ≥ 470.

Step-by-step explanation:

Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.

They already collected 30 canned goods, therefore we can subtract this quantity from out goal.

500 - 30 = 470

Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.

Hope this helps! :D

John, who is 42 years old, has a nephew age 9. In how many years will the age of his nephew be one-fourth John's age. Solve algebraically.

Answers

Answer:

hope this is correct..........

Select the equivalent expression.
(x4/7-8)^-7
Choose 1 answer:

Answers

Answer:

c

Step-by-step explanation:

[tex](a^{m})^{n} = a^{m*n}\\\\\frac{1}{a^{m}}=a^{-m}[/tex]

[tex](\frac{x^{4}}{7^{-8}})^{-7} = \frac{x^{4*(-7)}}{7^{-8 * (-7)}}\\\\=\frac{x^{-28}}{7^{56}}\\\\= x^{-28}*7^{-56}[/tex]

Answer:

C

Step-by-step explanation:

In how many years the simple interest on ₹2000 is less than the simple interest on ₹33000 at 5% by ₹50?

[Irrelevant answers will be reported]​

Answers

Answer:

0.0322580

Step-by-step explanation:

Simple interest : principal * rate * time

(simple interest on 33000) - (Simple interest on 2000) = 50

Let Time = t

2000 * 0.05 * t = 100t

(33000 * 0.05 * t) = 1650t

1650t - 100t = 50

1550t = 50

t = 50 / 1550

t = 0.0322580

The graph below displays the amount of water in a tank.

What is the rate of change in terms of the situation?

Answers

It is decreasing by 5 feet per hour as shown by the slope (drops down 5 and to the right 1)

A student ticket to the movie cost $4

A.Write an equation In which x represent the number of tickets purchase and y represent the total cost of the ticket .




B. Graph the equation

Answers

Answer:(X x 4)=

Step-by-step explanation:

Basically u times how many tickets u need times how much it cost

Example( 1ticket X 4dollars) =4 dollars

Y=4x

I attached a picture of the graph

Select the slope-intercept form of an equation for a line with y-intercept –5 and slope 2.

Answers

y = 2x + -5 put it in y = mx + b

Answer:

y = 2x - 5

Step-by-step explanation:

The format for slope intercept equation is:

y =  mx + b

b is the y intercept and m is the slope, so plugging the numbers we have into the variables, we have:

y = 2x - 5

6m+4(−2m+6)=10
please help

Answers

Answer:

m = 7

Step-by-step explanation:

Answer:

m=7

Step-by-step explanation:

An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. What is the probability that the sun of the dots is 7 or 11

Answers

Answer:

4 /9

Step-by-step explanation:

Given that :

Number of faces on a number cube = 6

Sample space for two number faces = 6² = 36

Probability that sum of a roll is 7 or 11:

Probability = number required outcome / Total possible outcomes

Number of Required outcome = number of 7's + number of 11's

Number of 7's = 6

Number of 11's = 2

Total = 8

Total possible outcomes = 6² =36

P(sum of 7 or 11 ) = 8 /36 = 4 /9

What is x???????????

Answers

Answer:

17

Step-by-step explanation:

6^2 + y^2 = 10^2

36 + y^2 = 100

y^2 = 64

y = 8

y^2 + 15^2 = x^2

64 + 225 = x^2

289 = x^2

x = 17

y+z=4 y-z=8
how to solve this problem​

Answers

Use elimination

y + z = 4

y - z = 8

Subtract both

2z = -4, z = -2

Y - 2 = 4, y = 6

Solution: y = 6, z = -2

Plz help me! I really appreciate it

Answers

Answer:

The equation y = [tex]-\frac{8}{7}[/tex] x - 7 represents a line perpendicular to the given line

Step-by-step explanation:

The product of the slopes of the perpendicular lines is -1, which means if the slope of one line is m, then the slope of the perpendicular line to it is [tex]\frac{-1}{m}[/tex] (negative reciprocal)

The slope of the equation ax + by = c is [tex]\frac{-a}{b}[/tex], where a, b, c are constantThe slope of the equation y = m x + b is m

Let us solve the question

∵ The equation of the given line is 7x - 8y = 16

a = 7 and b = -8

→ Use the rule above to find the slope of it

∵ The slope of the given line = [tex]\frac{-7}{-8}[/tex]

The slope of the given line = [tex]\frac{7}{8}[/tex]

To find the slope of the perpendicular line to it reciprocal the fraction and change its sign

The slope of the perpendicular line = [tex]-\frac{8}{7}[/tex]

→ Look at the answer to find the equation which has this slope

The equation of the perpendicular line is y = [tex]-\frac{8}{7}[/tex] x - 7

A pot holds 16 gallons of soup. A server will empty the pot into one pint containers
How many containers will the server fill?

Answers

Answer:

The server will fill 128 containers.

Step-by-step explanation:

1 gallon = 8 pints

In order to find out how many pints is 16 gallons, we need to multiply 16 by 8.

16 x 8 = 128 pints

If each container can only hold one pint of soup, and the pot hold 16 gallons of soup, than the server will fill 128 containers.

Hope this helps! :D

To Cool Auto pays commission based on the profit they
make from the vehicle. They pay 21% when profit is less
then $1000, They pay 22,5% when profit is between $1000
and $1200. When they earn a profit over $1200 they pay
23.5%. What formula should replace A, B, and C in the
following plecewise function if x represents the profit from
the sale? Fill in the blanks below,
if x < 81,000
c(x) =
{
if 81,000 < x < $1,200
if x > $1,200

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the profit made from sales and c(x) the commission based on sells. If the profit is less  then $1000,they 21%, hence:

if x < 1000, c(x) = 0.21x

If the profit is less  between $1000 and $1200,they 22.5%, hence:

if 1000 < x < 1200, c(x) = 0.225x

If the profit is  greater than $1200,they 23.5%, hence:

if x > 1200, c(x) = 0.235x

Therefore the commission represented as a piecewise function is:

[tex]c(x)=\left \{ {{0.21x\ \ x<1000} \atop {0.225x\ \ 1200<x<1000}} \atop {0.235x\ \ x>1200} \right.[/tex]

What is the value of x?

Answers

The value of x= 36°

Answer:

36

Step-by-step explanation:

72+3x=180(being sum of straight angle)

3x=180_72

3x=108

x=108÷3

x=36

Choose all of the equations for which x=2 is a solution.

Answers

What do you have to choose from

A rectangle has vertices (w,v), (w,z), and (z,z). Find the fourth vertex.

Answers

9514 1404 393

Answer:

  (z, v)

Step-by-step explanation:

When the sides of the rectangle align with the axes, as here, the coordinates will be all (x, y) combinations from the sets x ∈ {w, z) and y ∈ {v, z}. Three of those combinations are shown. The fourth is (z, v).

Estimate and then solve 8,712 ÷ 44  Pls help I will mark u BRAINLEIST​

Answers

Answer:

I think 198 the correct

Answer:

198

Step-by-step explanation:

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