a large painting has a length of 18 inches and width of 12 inches. If each dimension is reduced by x inches to make the ratio of length to width 5 to 3, what is the value of x

Answers

Answer 1

Answer:

The value of x = 3.

Step-by-step explanation:

The ratio between length and width is given by:

[tex]\frac{L}{W}=\frac{5}{3}[/tex]

Where:

L represents the new length W represents the new width

Now, we know that each dimension is reduced by x inches, it means:

[tex]L=18-x[/tex]

[tex]W=12-x[/tex]

Then, we will have:

[tex]\frac{18-x}{12-x}=\frac{5}{3}[/tex]

Finally, we just need to solve it for x.  

[tex]3(18-x)=5(12-x)[/tex]

[tex]5x-3x=60-54[/tex]

[tex]2x=6[/tex]

[tex]x=3[/tex]

Therefore, the value of x = 3.

I hope it helps you!


Related Questions

Luke's bill for breakfast at a restaurant was $80. He left a 20% tip. What was the amount of
the tip?

Answers

Answer:

$16

Step-by-step explanation:

Multiply $80 dollars by 20% or .2.

You should get $16.

A tip for the future is to move the decimal point to the left twice.

ie. 60%=0.6, 175%=1.75, 3%=0.03

WILL GIVE BRAINLIST TO CORRECT ANSWER

3(10) + 2(x-4)

Answers

Answer:

2x+22

Step-by-step explanation:

what formula would you use to find the area of this figure?

Answers

Step-by-step explanation:

Find the area of a square or rectangle by multiplying the length times the width. This formula looks like l*w. If the length is 5 and the width is 2, the area is 10 square units. Calculate the area of a four-sided shape that is not a rectangle by multiplying the base (one of the sides) by the height.

I hope it's helpful!

Explain how many cupcakes Jasmine can make if she had 5 1/4 cups of frosting but needs 3/8 cups for each cupcake

Answers

Answer:

jasmine can make 14 cupcakes

Step-by-step explanation:

5 1/4 = 5.25

3/8 = 0.375

5.25/0.375 = 14

Value of people so that the expression 3(4+n) is equipment to 3(n+p) ​

Answers

3(n+p) = 3(4+n)
3n+3p = 12+3n
3p=12
p=4

A Sb BC
B ABS SCT
C BAT CTA
D BA CA

HELP ME

Answers

The answer is c I am sure of it no cap

Answer the photo below thanks

Answers

Step-by-step explanation:

3 of the 4 options aren't prisms

A is a cuboid

B is a cube

C is a prism

D is a pyramid

Answer:

The answer is D.

I hope this helps.

Have nice day/night!!!!(wherever you are)

Original price of a computer: $2,600.00 Discount: 6%

Answers

Answer:2444(new price after discount)

Step-by-step explanation:looked it up

2600-156

156(discount amount)

Answer:

Step-by-step explanation:

Johanna is online shopping for a dress she really wants. The original cost of the dress is $50. She saw that exact same dress on sale for $34.What is the percent decrease for the dress Johanna wants to buy? Explain in writing/typing how you would solve the problem.

Answers

Answer:

32%

Step-by-step explanation:

50-34=16

16/50=0.32

0.32 x 100= 32

Simon had $15 to spend for lunch. He bought a large orange soda for $3.25 and a
cheeseburger for $11.95. When he reached in his pocket to pay, he found another
$4.25 to use towards his bill. How much money did Simon have after paying for
lunch?

Answers

Answer:

$4.05

How:

1. $15 + the extra $4.25 = $19.25

2. $3.25 + $11.95 for the meal = $15.20

3. $19.25 - $15.20 =  $4.05

Simon had $4.05 left after paying for lunch.

Can somebody solve this

Answers

Answer:

A

Step-by-step explanation:

Hope this will help

Answer:

I think so it is option A)

I hope this might help u

1. What name is given to the shaded region?
a. sector b. segment c. arc d. radii

2. The line ST is called..........
a. an arc b. a chord c. a diameter d. a radius ​

Answers

Answer:

1.sector 2. chords

Step-by-step explanation:

chord of a circle is a straight line segment whose endpoints both lie on a circular arc. ... More generally, a chord is a line segment joining two points on any curve, for instance, an ellipse. A chord that passes through a circle's center point is the circle's diameter.

Need help asap will give brainly

Answers

Answer:

d is the answer

Step-by-step explanation:

have a great day :D

Answer:

D is the answer

Step-by-step explanation:

180-(65+50)=

 65+50=115

 180-115=65

       

Directions: (a) Identify the parent function and (b) describe the transformations.

Answers

Parent function: y=2^x
Transformations:
Reflection over x-axis
Vertical stretch of 3
Right 1
Up7

What is the surface area of a hemisphere with radius 5cm, correct to 1 decimal place

Answers

[tex]area \: ofhemisphere\\ \frac{3}{4} \pi \: r {}^{2} h[/tex]

Which situation can be represented by the equation y
12x?

Answers

Answer:

Step-by-step explanation:

Answer:

so its C

Step-by-step explanation:

teacher said so

What is the area of this quadrilateral?
315
47
O A. 12 square feet
ОО
B. 16 square feet
C. 26 square feet
D. 24 square feet

Answers

Answer:

A12 square feet

[tex] (\frac{1}{2} \times 4 \times 3) + ( \frac{1}{2} \times 4 \times 3) \\ 6 + 6 \\ 12[/tex]

Answer:

A. 12 square feet

Step-by-step explanation:

I got it right on my test

What is this, (2r-1)(r-1)? I'm so confused.

Answers

Answer:

It looks like the factored form of a polynomial

Step-by-step explanation:

In unfactored form, it would be this:

2r^2 + -2r + 1

(2r-1)(r-1)
=2r(r-1) -1(r-1)
= 2r^2-2r-r+1
=2r^2-3r+1

Consider the line y = 7x-5.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer:

[tex]\boxed {\sf Parallel: 7 }[/tex]

[tex]\boxed {\sf Perpendicular: -\frac{1}{7}}}[/tex]

Step-by-step explanation:

First, identify the slope.

We are given the line y=7x-5.

This is in slope intercept form or y=mx+b where m is the slope and b is the y-intercept. So, the coefficient to x, or 7 in this case, is the slope.

m=5

Now, find the parallel and perpendicular slopes.

1. Parallel Slope

Parallel lines never intersect, so they have the same slope. A parallel line has a slope of 7.

2. Perpendicular Slope

Perpendicular slopes intersect to form right angles. They have negative reciprocal slopes.

Negate the slope: 7⇒ -7 Find the Reciprocal (flip the numerator and denominator: -7/1 ⇒ -1/7

A parallel line has a slope of 7 and a perpendicular line has a slope of -1/7.

Answer:

I'll help

Step-by-step explanation:

Parallel lines have the same slope so it will be 7.

And perpendicular lines if you multiply them together they have to add up to -1,

So 7 you change it to its opposite which is 1 over 7 and yeah just

angle relations

A) 73°

B) 149°

C) 163°

D) 31°

Answers

Answer:

D

Step-by-step explanation:

those angles are vertical angles so they are congruent.

D 31 . I think. :).

* A helicopter's altitude changes by – 28 ft in 3 s.
What is the average change in the helicopter's altitude
each second? Show your work.

Answers

Answer:

-9.33 ft per second

Step-by-step explanation:

To calculate this, you just have to divide -28 by 3. When doing this, it will give the change per second or for every 1 second.

-28/3 = -9.33

Therefore, the average change in the helicopter's altitude each second is -9.33 ft.

Please need answer help help?!?!?

Answers

Answer:

5

Step-by-step explanation:

The square root of 25 is 5

HI GUYS PLEASE HELP WILL MARK YOU BRAINLIEST IF YOU HELP!! Distribute & combine like terms

Answers

Answer:

1: 25c+10

2: 29a+18b

3: -2b+24n+11-12m

4: 23m+10

5: 8x+3y+16

If 8.5 kilometers is about
4 miles, about how many
kilometers is 16 miles?
I asked this question last time but the answer I got was wrong so can y'all help my this is due like in an hour and it's the last question

Answers

Answer:

25 or 26 depending if your rounding if you're not rounding it's 25.7495

Please halp I need to finish my homework by Monday and I haven’t been able to finish it so please halp! The question is 9x3/4!!!

Answers

Answer:

Step-by-step explanation: 6.75

I need help with my mathwork

Answers

Answer:

1. 4.2 x 10^-7

2. 2.9 x 10^-6

3. 7.1 x 10^-2

4. 2.56 x 10^5

Answer:

least to greatest

4.2 * 10^-7

2.9*10^-6

7.1 * 10^-2

2.56 * 10^5

Step-by-step explanation:

2.56 * 10^5 =256000

4.2 * 10^-7 =0.00000042

7.1 * 10^-2 =0.071

2.9*10^-6 = 0.0000029

The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. Find
the mean, median, mode, and standard deviation. Round to one decimal place as needed.
20, 22, 26, 27, 30, 31, 35, 35
Mean =
Median =
Mode =
Standard Deviation =

Answers

Mean = 28.3 , Median = 28.5, Mode = 35, Standard deviation = 5.2

(All of the above are rounded off to one decimal place)

How to find mean, median, mode ?

The given data are : 20, 22, 26, 27, 30, 31, 35, 35

We know that, mean = (sum of samples)/(no. of samples)

                                   = (20+22+26+27+30+31+35+35)/8

                                   = 226/8 = 28.25 = 28.3 (approx)

Here, median = (sum of 4th & 5th sample)/2

                       = (27+30)/2 = 57/2 = 28.5

Since 35 appears highest number of times, i.e. 2 times, then we can say that mode is equals to 35

What is the required standard deviation ?

Standard deviation = √{(20-28.3)²+(22-28.3)²+(26-28.3)²+(27-28.3)²+(30-28.3)²+(31-28.3)²+(35-28.3)²+(35-28.3)²}/8

= √{68.89+39.69+5.29+1.69+2.89+7.29+44.89+44.89}/8

= √(215.52/8) = √(26.94) = 5.190 = 5.2 (approx)

Learn more about mean, median, mode, and standard deviation here :

https://brainly.com/question/21498951

#SPJ2

helpp please! i don't understand this

Answers

Answer:

Step-by-step explanation:

Remark

This is actually a six sided figure. That really doesn't matter, but it's interesting to observe. It goes a long way to explaining what is going on. The trick to exterior angles is that as long as the figure is convex ( a closed figure whose lines do not cross), the exterior angles add to 360.

Once you know that, then you know that this figure must have 6 exterior angles and no matter how they are made, their total is 360.

Equation

n + n + n + n + 90 + 90 = 360          Combine like terms.

Solution

4n + 180 = 360                                 Subtract 180

4n = 360 - 180

4n = 180                                            Divide both sides by 4

4n/4 = 180/4

n = 45

Note

Not a simple problem. Thanks for posting

Substitute t=3 and t=5 to determine if the two expressions are equivalent.

4(t+3) 4t+12


which statements are true? check all that apply.
A. the value of both expressions when t=5 is 32.
B. the two expressions are not equivalent.
C. the value of both expressions when t=3 is 15
D. the value of both expressions when t=5 is 23
E. the two expressions are equivalent
F. the value of both expressions when t=3 is 24​

Answers

Answer:

E

because both sides are equal when substituted by 3 & 5

need help again !!!! Anyone plzzzz ?

Answers

Answer: D

A good trick to have up your sleeve is to just memorize that the equation of a like is (y - y1) = m * (x - x1).

This equation describes a point that passes through (x1, y1) with a slope m. This point (x1, y1) does not have to be on the y-axis. Also, since the question told us they want m = slope = -1/4, all we have to do is plug stuff in.

(y - y1) = m * (x - x1) => (y - 4) = -1/4 * (x - 4), or answer D. Also note that the normal ‘x’ and ‘y’ here are variables. We can solve this equation for ‘y’ to give a more traditional format: y = -1/4x + 5.
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