The perimeter of a rectangle is 70cm. if its length is decreased by 5cm and its width is increased by 5cm, its area will increase by 50 cm^2. Find the length and the width of the original rectangle.

Answers

Answer 1

Answer:

l=25, w=10

Step-by-step explanation:

2(25)+2(10)=70

25*10=250

25-5=20

10+5=15

20*15=300

Answer 2

Answer:

width = 10

lenghth = 25

Step-by-step explanation:


Related Questions

Solve for x please: 9=8/5(x+5)

Answers

Answer:

5/8 =x

Step-by-step explanation:

9=8/5(x+5)

Multiply each side by 5/8

5/8 *9=  5/8 *8/5(x+5)

45/8 = x+5

Subtract 5 from each side

45/8 - 5 = x+5-5

45/8 -5 = x

Get a common denominator

45/8 - 5*8/8 =x

45/8 - 40/8 =x

5/8 =x

Solve the inequality *
5< -2x + 5 < 25

Answers

Answer:

[tex]\huge\boxed{-10<x<0\to x\in(-10;\ 0)}[/tex]

Step-by-step explanation:

[tex]5<-2x+5<25\qquad|\text{subtract 5 from all sides}\\\\0<-2x<20\qquad|\text{change all signs}\\\\0>2x>-20\to -20<2x<0\qquad|\text{divide all sides by 2}\\\\-\dfrac{20}{2}<\dfrac{2x}{2}<\dfrac{0}{2}\\\\-10<x<0[/tex]

Help I will mark brainliestttt

Answers

Answer:

11 or more

Step-by-step explanation:

55-40=15

160/15=10.666

11 or more

Use the distributive property to write an expression that is equivalent to 9(c+5).

Answers

Answer:

9c + 45

Step-by-step explanation:

The distributive property also known as distributive law of multiplication and division.

In the given expression, distributive law of multiplication is applied where we can multiply first before addition.

Given

9(c+5)

Using distributive property

9(c+5)

= (9 × c) + (9 × 5)

= 9c + 45

9(c+5) = 9c + 45

What is the slope of the line through (0,5) and (-2, -1)?
(0.5)
3
2
X
2
4
-4 -3
+(-2,-1)
-1
-2
-3
A. -3
O
B. -
o
C. 3
O
D.
10
PREVIOUS

Answers

Answer:

the slope is 3

Step-by-step explanation:

slope formula [tex]m=\frac{y2-y1}{x2-x1}[/tex]

[tex]m\frac{5-(-1)}{0-(-2)}[/tex] = 3

the price of a computer was decreased by 20% to £136. what was the price before it was decreased

Answers

Answer:

170

Step-by-step explanation:

Let x be the original price

x* .20 is the decrease

x - .20x = new price

.80x = new price

.8x = 136

Divide each side by .8

.8x/.8 = 136/.8

x =170

Answer:

7

Step-by-step explanation:

PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 40 POINTS .

Answers

Answer:

7 / 12

Step-by-step explanation:

(0 + 1/2 + 1/2 + 1/2 + 1 + 1) / 6 = 7 / 12 or 0.58

Last one for shore area of this circle???

will give brainliest
pls hlep me!!

Answers

Answer:

16 pi units or about 50.265 units

Step-by-step explanation:

formula for area of circle is πr^2

Using the image, the radius (half the diameter) is 4 units

put this in equation

pi times 4^2

pi times 16

16pi

Determine whether the graphs of y=1/2x-8 and y=-2x-6 are parallel, perpendicular, coincident, or none of these.

Answers

Answer:

They are parallels

Step-by-step explanation:

easy 10 points, math underline. photo below

Answers

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The sum of two numbers is 4. The larger number is 12 more than three times the smaller number. What are the numbers?

Answers

Step-by-step explanation:

So, we will take one of the numbers = x

And the other is 12 more than 3 times it, so = 3x + 12

So they said if we add them, we will get 4

So x + (3x + 12) = 4

4x + 12 = 4

4x = 4 - 12

4x = - 8

x = - 8 ÷4

x = - 2

So one of the numbers x = - 2

The other is 3x + 12

So x = - 2

3x +12 = 3(-2) + 12

= 6

So the 2 numbers = 6 and - 2

Lets check!

6 + (-2) = 4

So it's right!

ANSWER ME 2 QUESTION.....URGENT....SO PLZZ FASTLY SND ME THE ANSWER....​
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Answers

Answer:

whats up , whats the question ?

Step-by-step explanation:

Which points are on the graph of g(x) = (1/5)x?
Select each correct answer.
(3, 125) (-2,5) (1, 0) (-1, 5)?

Answers

Given:

The function is

[tex]g(x)=(\dfrac{1}{5})^x[/tex]

To find:

The correct ordered pairs.

Solution:

We have,

[tex]g(x)=(\dfrac{1}{5})^x[/tex]

For x=3,

[tex]g(3)=(\dfrac{1}{5})^3[/tex]

[tex]g(3)=\dfrac{1}{125}[/tex]

So, the ordered pair is [tex](3,\dfrac{1}{125})[/tex].

For x=-2,

[tex]g(-2)=(\dfrac{1}{5})^{-2}[/tex]

[tex]g(-2)=(5)^2[/tex]             [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]

[tex]g(-2)=25[/tex]

So, the ordered pair is [tex](-2,25)[/tex].

For x=1,

[tex]g(1)=(\dfrac{1}{5})^1[/tex]

[tex]g(1)=\dfrac{1}{5}[/tex]

So, the ordered pair is [tex](1,\dfrac{1}{5})[/tex].

For x=-1,

[tex]g(-1)=(\dfrac{1}{5})^{-1}[/tex]

[tex]g(-1)=(5)^1[/tex]             [tex][\because (\dfrac{a}{b})^{-n}=(\dfrac{b}{a})^n][/tex]

[tex]g(-1)=5[/tex]

So, the ordered pair is (-1,5). This is the correct answer.

Therefore, the correct option is D.

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.
What are the domain and range of the function on the graph?

The domain includes all integers, and the range is y ≥ 0.
The domain includes all integers, and the range is y > 0.
The domain includes all real numbers, and the range is y ≥ 0.
The domain includes all real numbers, and the range is y > 0.

The graph will begin at a lower point on the y-axis.
The graph will increase at a faster rate.
The graph will increase at a slower rate.
The y-values will continue to increase as x-increases.
The y-values will each be less than their corresponding x-values.

Answers

Answer:

The domain of the function i.e. the value of x can be any real number and the range of the function is y > 0.

Step-by-step explanation:

On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and curves up and increases in quadrant 1.

Therefore, as x tends to - ∞, the y-value tends to 0 but not equal to zero and as x tends to +∞, the y-value also tends to +∞.

Hence, the domain of the function i.e. the value of x can be any real number and the range of the function is y > 0. (Answer)

can yall explain me what is PSAT please i need to know :)​

Answers

Answer:

g o o g l e states, "The PSAT/NMSQT stands for the National Merit Scholarship Qualifying Test, which students take as a sophomore or junior."

Step-by-step explanation:

Answer:

The PSAT stands for Practice Standardized Aptitude Test.

Step-by-step explanation:

This test is meant to evaluate a student's college-specific skills.

I need help plz! If anyone knows, I would truly appreciate it! Thank uuu!!!!^^
(5 screenshots included)

Answers

Answer:

pic1 a pic2 d

Step-by-step explanation:

i did this

1 : D 2 : A

i hade this paper earlier

Please help it’s geometry! I’ll make brainliest

Answers

GX is the angle bisector. Answer is C
The second should be correct sorry if I’m wrong

brainliest to who ever answers correctly

Answers

Answer:

it’s either no slope or 0, I dont exactly know which one you would put in to be correct

Step-by-step explanation:

no slope i’m pretty sure let me know what the answer is if i’m wrong

A teacher is writing an exam with 60
questions. If she has finished writing 70% of
the questions, how many questions does she
still need to write?


A) 18

B) 20

C) 30

D) 42


Can smb yk..

Answers

20 is the answer your welcome you will get it right don’t worry

Find the values of b such that the function has the given maximum value [tex]f(x) = -x^2+bx-65[/tex]. I already have it in vertex form as [tex]-(x+\frac{b}{2})^2-65+\frac{b^2}{4}[/tex] but I don't know what to do from here

Answers

Answer:

b = {20, -20}

Step-by-step explanation:

Given function:

f(x) = -x² + bx - 65 with maximum value of 35

To find

The value of b

Solution:

Maximum value is obtained at vertex as a < 0

Vertex coordinate of x is:

x = -b/2a = -b / -2 = 1/2b

Solving for b:

35 = - (1/2b)² + b(1/2b) - 65- 1/4b² + 1/2b² = 1001/4b² = 100b² = 400b = √400b = ± 20

See attached

is -32/8 an integer...??? Pleaseeee helpppp meeee

Answers

Answer:

yes

Step-by-step explanation:

-32/8 = -4

-4 is an integer

Yes -32/8=-4. So it integers

I'LL GIVE BRAINLIEST TO WHOEVER ANSWERS THE QUESTION CORRECTLY!!!

A.) 6 units
B.) 10.7 units
C.) 5.5 units
D.) 3 units

Answers

Answer:

A

Step-by-step explanation:

Δ NLP and Δ NMO are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{NL}{NM}[/tex] = [tex]\frac{NP}{NO}[/tex] , substitute values

[tex]\frac{15+x}{15}[/tex] = [tex]\frac{28}{20}[/tex] ( cross- multiply )

20(15 + x) = 420 ( divide both sides by 20 )

15 + x = 21 ( subtract 15 from both sides )

x = 6

which graph is correct for the equation

Answers

Answer:

I think the answer is C.

Step-by-step explanation:

graph it on demos and it should show you

can anyone please help me

Answers

Answer:

1. x = 9°

angleA=36°

angleB=54°

2. x = 28°

angleA=28°

angleB=62°

Step-by-step explanation:

1. 6x + 4x = 90° (By ASP)

2. 2x + 6 + x = 90° (By ASP)

Determine of 10% of 300.

using a double number line

Answers

Answer:

100%     -     300

------------------------

10%      -      x

[tex]100x=300*10\\100x=3000\\x=\frac{3000}{100}\\x=30[/tex]

Answer:

may I try it can be

Step-by-step explanation:

10% of 300

10÷100x300

0.1×300

30

what is the rate and unit rate for 115 miles on 9 gallons of gas​

Answers

Answer:

the actual answer is 12.7777777778 but you can break it down to about 12.8

Step-by-step explanation:

Hope this helps :)

amelia needs to buy some dog food at the nearest store, 3 bags of dog food cost $10.50 how much would amelia spend on 5 bags

Answers

Answer:

15.25

Step-by-step explanation:

Answer:

First  you would have  to find the unit  price for the dog food so you would do 10.50 ÷ 3 to get 3.5, so for one bag it costs $3.50, next you would multiply 3.50 by 5 to get 17.5, so your answer would be $17.50

Can you please help me!

Answers

Answer:

16

Step-by-step explanation:

Pythagoras theorem was used

BRAINLESS




don't answer if you don't know the answer to the question



The triangle is rotated 90° clockwise around the point (0,0). What will be the coordinates of the image of point L after the rotation?

Answers

Answer:

B

Step-by-step explanation:

You see the long side is right on the x axis so the L point will be the same length from itd rotation. Its rotation will have the long side laying along the Y axis and making it (2, 6)

June was thinking of a number. June doubles it and gets an answer of 98.9. What was the original number?

Answers

Answer: 49.45

Step-by-step explanation:

From the information, we are informed that June was thinking of a number and then doubles it and gets and gets an answer of 98.9.

Let the number be represented by x.

Since she doubles it, thus implies that:

2x = 98.9

x = 98.9 / 2

x = 49.45

The number is 49.45

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