PLEASE HELP WITH THIS ONE QUESTION
A 60 cm by 80 cm photo is to be surrounded with a matting of equal width. The photo and matting is to be covered by a 1 m^2 sheet of expensive glass. Find the width of the matting.

Answers

Answer 1
We know the area = width height. So we can set up this equation, where x is the unknown space between the entire frame and the photo:
(60cm + x) (80cm + x) = 1m^2

And then convert the m^2 to cm^2 so it’s all the same units:
1m^2 = 1m x 1m = 100cm x 100cm = 10000cm^2

So we get:
(60cm + x) (80cm + x) = 10000cm^2

Then solve for x:

(60cm + x) (80cm + x) = 10000cm^2
4800 + 140x + x^2 = 10000
x^2 + 140x - 5200 = 0

Using the quadratic formula:
x = (-b +/- sqrt(b^2 - 4ac)) / 2a

x = ( -140 +/- sqrt(140^2 - 4(1)(-5200)) )/ 2(1)
x = ( -140 +/- sqrt(19600 -(-20800)) )/ 2
x = ( -140 +/- sqrt(40400)) / 2

x = ( -140 + 200.9975 )/ 2
x = 30.49875

x = (140 - 200.9975)/2
x = -60.9975

So we get:
x = 30.49875 or -60.9975


The width of the matting is the part of the width underneath the photo (60cm) plus the spacing between the photo and the border, x (which would have to be 30.5 because it doesn’t make sense as a negative). So it’s:
60cm+30.50cm = 90.50 cm

The width of the matting is 90.50cm.

Related Questions

At its peak, an online shopping site was selling about 420 items per second. At this rate, how many items would it sell in 30 minutes ( 1,800 seconds)?

Answers

756,000

You multiply the number of items by the number of seconds

Answer: 758,000

Step-by-step explanation:

Expression: 420 x 1,800

Basically just find the number of seconds and since every second 420 items are sold just multiply 420 x number of seconds which is 1,800

Explicit Formula for 10,12,14,16,18

Answers

Not sure if this is exactly what you want but an= a1 + (n - 1)d

A 48 cm wire is to cut into two pieces. One piece must be cut 10 com longer than the shorter piece. How long should each peice be?

Answers

Step-by-step explanation:

short - S

long - L

L=10+S

L+S = 48

SINCE L=10+S

10+S+S=48

10+2S=48

2S=48-10

S=38/2=19

SHORT=19CM

LONG=10+S=10+19=39CM

Solve the equation a = m - n for the variable n.

Answers

Answer:

n = m - a

Step-by-step explanation:

a = m - n

add n to both sides of the equation

a + n = m - n + n

a + n = m

subtract a from both sides of the equation

a - a + n = m - a

n = m - a

Answer:

n = a - m

Step-by-step explanation:

a = m - n

a - m = n

A ball is thrown vertically upward from the top of a 100-foot tower, with an initial velocity of 20 ft/sec. Its position function is s(t) = -16t^2 + 20t + 100. What is its velocity in ft/sec when t = 1 second?

Answers

The velocity of the ball in ft/sec, when t = 1 second is equal to -12 ft/sec.

Given the following data:

Displacement = 100 feetTime = 1 secondsPosition function = [tex]s(t) = -16t^2 + 20t + 100[/tex]

To calculate the velocity of the ball in ft/sec, when t = 1 second:

Mathematically, the velocity of an object or physical body is equal to the differentiation of it's position function.

Velocity = s'(t)

Velocity = [tex]s(t) = -16t^2 + 20t + 100[/tex]

[tex]Velocity = -32t + 20[/tex]

Substituting the value of time (t), we have:

[tex]Velocity = -32(1) +20\\\\Velocity =-32+20[/tex]

Velocity = -12 ft/sec

Read more: https://brainly.com/question/8898885

Find the domain and range of the given rational function f(x) =
x+1
2x−2

Answers

x/2x= x
+1/ -2=-1
X=-1

All the people of a neighborhood pooled together and won the lottery. They won $10,000,000 and each person got a 0.02 share. How much money did each person receive?

Answers

Answer:

$200,000

Step-by-step explanation:

They all won $10,000,000 and

each person got a 0.02 share of the $10,000,000

Each person received

10,000,000*0.02 = $200,000

PLEASE SHOW YOUR WORK
FIRST TO ANSWER GETS BRAINLIEST!

Answers

Answer:

Carlton: 731 feet tall

Burj Khalifa: 2716 feet tall

Q1 Tower: 1059 feet tall

The Shard: 1017 feet tall

Willis Tower: 1450 feet tall

Gran Torre: 984 feet tall

(note: this is all rounded up answers)

Work:

223 x 3.28 = 731

828 x 3.28 = 2716

323 x 3.28 = 1059

310 x 3.28 = 1017

442 x 3.28 = 1450

300 x 3.28 = 984

Find the value of x so that L||M

Answers

9514 1404 393

Answer:

  x = 19

Step-by-step explanation:

The marked (consecutive interior) angles will be supplementary when the lines are parallel.

  (3x +10)° +(5x +18)° = 180°

  8x = 152 . . . . . . . . . . . . . . . divide by °, subtract 28

  x = 19 . . . . . . . . . . . divide by 8

What is the denotation of the word "stealing” in this excerpt?

being deceptive
committing a crime
keeping a secret
taking over

Answers

The word stealing in the given excerpt denotes; taking over

How to find the meaning of the excerpt?

This question is gotten from the excerpt from the Narrative of the Life of Frederick Douglass.

Now, from the given narrative, we see that her frame already racked with the pains of old age, and complete helplessness fast stealing over her once active limbs.

Thus, this means that the word stealing denotes that taking over her active limbs.

Read more about excerpt at; https://brainly.com/question/21400963

#SPJ1

Answer:

Taking over.

Step-by-step explanation:

Which is the greatest fraction? 1/3 , 1/4 , 2/4 , 3/8

Answers

Answer:1/4 < 1/3 < 3/8 < 2/4 Hope that helps!:)

Step-by-step explanation:

Rewriting as equivalent fractions with the LCD:

1/3 1/4 2/4 3/8

8/24 6/24 12/24 9/24

Sorting this table by the numerators of the equivalent fractions in order from least to greatest:

1/4   1/3   3/8   2/4

6/24 < 8/24 < 9/24 < 12/24

Therefore, the sorted inputs in order from least to greatest is:

1/4 < 1/3 < 3/8 < 2/4

A rectangular cake pan has a volume of
234
cubic inches. If the length of the pan is
9
inches and the width is
13
inches, what is the height of the pan?

Answers

Step-by-step explanation:

volume of a rectangular pan = length of the pan × width of the pan × height of the pan

V=l.b.h

234=9.13.h

h=234/9×13

h= 2in.

hope this helps you.

Answer:

2 inches

Step-by-step explanation:

V= 234, L=9, W=13, H=?

V= LxBxH

234= 9x13xH

234= 117H

divide through by 117

234/117 = 117H/117

H= 2inches

A number n is increased by 40% and then decreased by 14%. What is the final result in terms of n?

Answers

Answer:

X = 100. A 40% increase causes it to increase to 140. A 40% reduction amounts to multiplying by 0.6, leading to a reduction of 40% of 140 ...

A 125 mililiter solution of fabric dye contains 5 ml of hydrogen peroxide what percent concentration of hydrogen peroxide?

Answers

The answer is 67%, good luck
The answer is 6.25 because I said so

solve pls brainliest

Answers

Answer:

x = 6.4

Step-by-step explanation:

Step 1: Divide both sides by 4.

[tex]\frac{4x}{4}=\frac{25.6}{4}[/tex] [tex]x = 6.4[/tex]

Step 2: Check if solution is correct.

[tex]4(6.4)=25.6[/tex] [tex]25.6=25.6[/tex]

Therefore, x = 6.4.

Answer:

4x = 25.6

4x = 256 / 10

x = 256 / (10×4)

x = 64 / 10 (256 ÷ 4 = 64)

x = 6.4

so, answer is 6.4 .

Step-by-step explanation:

brainliest plz

1) In how many ways can a girl choose a two-piece outfit from 9 blouses and 8 skirts?
A) 17
B) 19
C) 144
D) 72

Answers

D. There are 9 blouse options and 8 skirt options. So, for each of the 9 blouses, there are 8 skirt options. Multiply 9x8, which equals 72

The total number of ways a girl can choose a two-piece outfit from 9 blouses and 8 skirts is 72.

What is permutation?

Permutation is a mathematical calculation of the number of ways a particular set can be arranged, where order of the arrangement matters.

Permutation Formula

[tex]^{n} P_{r} = \frac{P!}{(n-r)!}[/tex]

Where,

[tex]^{n}P_{r}[/tex] is permutation

n is the number of objects

r is the number of objects selected.

According to the given question.

Total number of blouses = 9

Total number of skirts = 8

So,

the number of ways of choosing one blouse from 8

=[tex]^{8} P_{1}[/tex]

= [tex]\frac{8!}{(8-1)!} \\[/tex]

= [tex]\frac{8!}{7!}[/tex]

= [tex]\frac{8\times 7!}{7!}[/tex]

= [tex]8[/tex]

And the number of ways of choosing one skirt from 9

[tex]^{9} P_{1} \\= \frac{9!}{(9-1)!} \\= \frac{9\times 8!}{8!} \\=9[/tex]

Therefore,

The total number of ways of choosing two piece outfit from 9 blouses and 8 skirts

= [tex]^{8} P_{1} \times ^{9} P_{1}[/tex]

= [tex]8 \times 9[/tex]

[tex]= 72[/tex]

Hence, the total number of ways a girl can choose a two-piece outfit from 9 blouses and 8 skirts is 72.

Find out more information about permutation here:

https://brainly.com/question/1216161

#SPJ2

solve pls brainliest

Answers

Answer:

white

4 were sold

3 more gray were sold than white

3 colors sold 10 or more

Answer:

a) White

b) 3

c) 3

Step-by-step explanation:

a) White as it is the shortest bar (has the lowest height and only has 4 t-shirts sold)

b) According to the bar graph, 7 grey t-shirts were sold and 4 white t-shirts were sold. Subtracting 4 from 7 = 7-4 = 3

Hence, 3

c) At least 10 T-shirts sold, suggests that it was greater than or equal to 10. According to the graph, black has 12, tan has 11, and brown has 10. Hence,

3 colors had at least 10 t-shirts sold.

Hope this helps and be sure to have a wonderful time ahead at Brainly! :D

Feel free to mark this as brainliest!

IS
ΔABC » ΔQRS
Find the missing side length, x.

Answers

Answer:

x = 10

Step-by-step explanation:

x/8 = 15/12

x/8= 5/4

x= (8 x 5)/4

x = 10

You have at most $20 to spend at an arcade. Arcade games cost $0.75 each, and snacks cost $2.25 each. Write an inequality that represents the numbers of games (x )you can play and snacks( y) you can buy.
The inequality is ??

Answers

Answer:

y ≤ -1/3x+80/9

Step-by-step explanation:

(1). 0.75(x)+2.25(y) ≤ 20

0.75 - Number of arcade games (X).

2.25 - Number of snacks (Y).

20 - The total.

(2). 0.75x+2.25y≤20

(After multiplying the x's and y's together, with the numbers).  

(3). 0.75x (-0.75x) + 2.25y ≤ 20 (-0.75x)

(Subtract -0.75x to each side, which allows the equation to get closer to the answer).

(4). 2.25y       -0.75x + 20

   ————   =   ————

    2.25            2.25

(Divide by 2.25 to each side).

(5). y ≤ -1/3x + 80/9

(The result and the inequality).

simplify 4h^j^-5k^7 ​

Answers

Answer:

Answer in picture below

The pH scale measures how acidic or basic a substance is. Bleach is said to have a
55 POINTS!!! WILL MARK!!! ANSWER FAST!!!pH of less than 14 and greater than 11. Model the normal range of pH values of bleach, using a compound inequality.

11 > x > 14
11 < x < 14
11 ≤ x ≤ 14
11 ≥ x ≥ 14

Answers

Answer:

11 < x < 14

Step-by-step explanation:

Bleach ph value ranges from 11-13

1.(154)10=(?)2
helpme! to solve it plz.​

Answers

Answer:

I think its (10000110)2

Please answer this
Hope you get along
I report What to answer​

Answers

What the hel you expect us to do all that for 5 kids points? Go ask you mom to do that for you. If you're asking US to do that, then it has to be 40 or 50 points.

Kiran has 27 nickels and quarters in his pocket, worth a total of $2.75.
a. Write a system of equations to represent the relationships between the
number of nickels n, the number of dimes d, and the dollar amount in
this situation.

Answers

Answer:

[tex]\begin{cases}n+d = 27\\0.05n+0.10d = 2.75\\\end{cases}[/tex]

====================================================

Explanation:

n = number of nickels

d = number of dimes

The n and d are placeholders for positive whole numbers.

Since we have 27 coins, we know that n+d = 27. The two subcounts must add to the grand total of 27. That explains how the first equation is set up.

The second equation is set up by looking at the dollar amount each group of coin brings in.

0.05n = amount of money in dollars the nickels bring in

0.10d =  amount of money in dollars the dimes bring in

0.05n+0.10d = total amount of money in dollars = 2.75

The single curly brace to the left of the equations tells the reader we're dealing with a system of equations. The equations are tied together.

help me guys I don't get this !!!​

Answers

Answer:

-2.5, 0.75

Step-by-step explanation:

When we need to find a solution to a system of equations using a graphing tool, we graph those two equations and find the point of intersection.

This is an informative article on how to do that:

https://www.dummies.com/education/graphing-calculators/how-to-find-points-of-intersection-on-the-ti-84-plus/

solve pls brainliest

Answers

Answer:

(1,6)

Step-by-step explanation:

all u gotta do is look at the graph, the school is at x=1 and y=6 so therefore (1,6)

Answer:

(1,6)

Step-by-step explanation:

there are 9 acorns in each pile. there are 8 piles. how many acorns are there in all? write an equation that can be used to solve this problem

Answers

Answer:

72 acorns.

Step-by-step explanation:

9 (acorns per pile)

             *

       8 (piles)

Answer:

9x8=72 making the answer 72 acorns in total.

what is the height if a painting is 1 centimeters and represents as 9 inches

Answers

Answer:

The height of the real painting is 36 inches

John and Jill collect 280 stamps. Out of this John collected three time as many as
Jill. How many stamps did Jill collected?

Answers

Answer:

Jill collected 70 Stamps

John collected 210 Stamps

Step-by-step explanation:

280/4=70

Please allow me to know if my answer helped you with a thank you!

<3Miss Hawaii

A can of green beans cost $1.29 but goes on
sale for $0.79. What was the sale on the green
beans?
Plz help!!!

Answers

Answer:

≈ 38.76%

Step-by-step explanation:

Given:

Cost = $1.29Sale = $0.79

Sale percent is:

(1.29 - 0.79)/1.29*100% ≈ 38.76%
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