1. A rectangular canvas picture measures 12 inches by 28 inches. The canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches. Find the uniform width of the frame.​

Answers

Answer 1

The uniform width of the frame is 16.61 inches.

Since a rectangular canvas picture measures 12 inches by 28 inches, and the canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches, to find the uniform width of the frame you must perform the following calculation:

√ (612 - (28 x 12)) = X √ (612 - 336) = X √276 = X 16.61 = X

Therefore, the uniform width of the frame is 16.61 inches.

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Related Questions

someone help me pls

Answers

Answer:

y=1/2x + 3

Step-by-step explanation:

The first thing you need to know is that the slope of a perpendicular line is the opposite reciprocal of the other slope. Find the slope of this line, which is -2. The opposite reciprocal is 1/2. So, you know that the perpendicular line is equal to y=1/2x. Plug the x coordinate (4) in for x to have: y=1/2(4). Multiply 4 by 1/2 to get y=2. Since the y coordinate is supposed to equal 5, add 3 to y=2 to get 5. Since 3 is the amount we added, thats where the y intercept will be. Hope this helped!

Thomas, a waiter at a local restaurant, is paid $ 4 an hour plus tips. His friend Marie works at a local bookstore for $12 an hour. Marie and Thomas worked the same number of hours. If Thomas made $120 in tips and both made the same amount of money, how many hours

Please just write the equation out.

Answers

Let h be the number of hours worked.
Let x be the tips
Let t be Thomas
Let m be Marie’s pay

t=4h+x

(plug in 120 for x)

t=4h+120
——————————————
m=12h

(They made same amount of money working the same amount of hours)

4h+120=12h
120=8h

How many hours did they both work? :)

need help 15.3+7.2 it is adding

Answers

it is adding the answer is 22.5

Answer: below

Step-by-step explanation: 22.5

-
Find the zeros of the following function f (x) = 2x^2 – x – 10

Answers

Step-by-step explanation:

the formula to find the x values to deliver y=0 results of a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

a, b, c are the constant factors in the 3 terms of a squared equation.

here in our example of 2x² - x - 10

a = 2

b = -1

c = -10

x = (1 ± sqrt(1² - 4×2×-10))/(2×2) =

= (1 ± sqrt(1 + 80))/4 = (1 ± sqrt(81))/4 =

= (1 ± 9)/4

x1 = (1 + 9)/4 = 10/4 = 2 2/4 = 2 1/2 = 2.5

x2 = (1 - 9)/4 = -8/4 = -2

How would you write about 100 meters
in 10 seconds as a unit rate?
Remember, unit rate is when the
denominator is 1, so you need to
reduce.

Answers

Answer:

10m/s

Step-by-step explanation:

unit rate just means how many meters you go in 1 second. that's why the denominator is only 1.

100metters/10 seconds

10meters/sec

In 2019, the minimum wage in Arizona is $11 per hour. The total cost of renting a one-bedroom apartment in one city is $1410 per month. Without considering any other living expenses or deductions, could a person working 40 hours a week at the minimum wage cover the $1410 per month?

1.Yes, they have $495.20 more than they need.
2.No, the total earned is $495.20.
3.Yes, they have $1905.20 more than they need.
4.No, $1905.20 is not enough.

Answers

Answer:

1

Step-by-step explanation:

40 x 11 = 440

440 x 4 = 1760

0.5x+2 is it a linear function? yes or no


pls help

Answers

Answer:

yes

Step-by-step explanation:

when graphed it is a non vertical line.

Yadmine scored 104 points for attempting all 40m questions. If she was awarded 5 points for every correct answer and had 3 points deducted for every incorrect answer, how many questions did Yasmin answer incorrectly?

Answers

Using a system of linear equation to represent the problem given, there are 12 incorrect answers given

Points per correct score = 5 Points deducted per incorrect score = 3 Number kd questions answered = 40

Let :

Number of correct answers = c

We could create an equation thus:

5(c) - 3(40 - c) = 104

Expand

5c - 120 + 3c = 104

8c = 104 + 120

8c = 224

c = (224 ÷ 8)

c = 28

Number of incorrect answers = 40 - 28 = 12

Therefore, there are 12 incorrect answers

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a bakery worker ordered 3,000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were needed?

Answers

Answer:

2700 more eggs were ordered

.........................

Answers

Step-by-step explanation:

→ (1.2*(10^57)) + 1.2*(10^56)

→ 1.32e+57→ 1.32 × 10^57

1.(drag) → 1.32 and 2. (drag) → 57

» 1.32e+57

PLEASE HELP ITS MATH THANK YOUUUU

Answers

Answer:

99000 millimeters kdknwjdhdiqkwpshd

what is 54% of 114? ​

Answers

Answer:

54% of 114 is 61.56

Step-by-step explanation:

Answer:

that would be 1404/25 or 56.16

Step-by-step explanation:

I solved it on paper

2[(3x + 5) – 7] = 3(4x – 3)

Answers

Answer:

5 / 6

Step-by-step explanation:

2 [ ( 3x + 5 ) - 7 ] = 3 ( 4x - 3 )

2 [ ( 3x + 5 - 7 ] = 3 ( 4x - 3 )

2 [ 3x - 2 ] = 3 ( 4x - 3 )

6x - 4 = 12x - 9

12x - 9 = 6x - 4

12x - 6x = - 4 + 9

6x = 5

x = 5 / 6

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Exact Form:

x=5/6

Decimal Form:

x=0.8¯3

I need help I never got taught how to do this

Answers

Answer:

736cm²

Step-by-step explanation:

The surface area of a regular pyramid is equal to:

area of the square base + 1/2ps

where p is the perimeter of the base and

s is the height of the slant line of the pyramid.

In your drawing s = 15cm and the base has four equal lengths of 16cm

So first find the area of the base.  Since this is a square, the area is just the

length x the width or 16cm x 16cm = 256cm²

(p) is the perimeter of the base.  Find this by adding all four side of the bottom square together which is 16cm + 16cm + 16cm + 16cm  or  4 x 16cm which is 64cm.

You already were given (s) which is the height of the slanted side from the base to the pointed top.  The drawing gives you this as 15cm.

So plugging all this into the formula, you get:

Surface Area = Area of Base + 1/2 p s

                      =  256 cm² + [1/2 ( 64cm )(15cm)]

                      =  256 cm²  +  {1/2 ( 960 cm²)]

                      =  256 cm²  +  480 cm²

                      =  736 cm²

Please answer as soon as possible HURRY! Please I need help

2. Write a Linear equation for the function represented by the table


Answers

Step-by-step explanation:

I will help you if you follow me please if you really want to get answer please follow me

2x=18−2 Value of x???​

Answers

Answer:

x = 8

Step-by-step explanation:

2x = 18 - 2 , that is

2x = 16 ( divide both sides by 2 )

x = 8

Answer:

[tex]\sf\longmapsto \: x = 8[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 2x = 18 - 2[/tex]

[tex]\sf\longmapsto \: 2x = 16[/tex]

[tex]\sf\longmapsto \: x = \frac{16}{2} [/tex]

[tex]\sf\longmapsto \: x = 8[/tex]

I need help ASAP!!!!!!!

Answers

Answer:

left side 7 right side 9

Step-by-step explanation:

it wont just let me tell you the answer

Leon and Thomas have the same number of cherries. Leon eats 5 of his cherries and has 12 cherries left. Thomas eats 9 of his cherries. How many cherries does Thomas have left?

Answers

8 because they both have 17 cherries and 17 - 9=8

Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.
A. 216
B. 18
C. 32
D. 54

Answers

Option D

[tex]a1(r) {}^{n - 1} [/tex]Putting values:

[tex]2(3) {}^{4 - 1} [/tex][tex]2(3) {}^{3} [/tex][tex]2 \times 27[/tex][tex] = 54[/tex]Hence, Proved.

Answer:

[tex]54[/tex]

Answer D is correct

Step-by-step explanation:

[tex]a_1 \: {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 2 \times 27 \\ = 54[/tex]

Hope this helps you.

Let me know if you have any other questions :-)

The sum of two numbers is 45. The difference of the 2 numbers is 3. What is the product?

Answers

Answer:

Setting up problems like this requires a "system of equations." We'll call the two numbers "A" and "B." Make an equation out of the first sentence. "Sum" means the answer to an addition problem.

 

A + B = 45

 

After that, make an equation out of the second sentence. "Difference" means subtraction.

 

A - B = 3

 

There are two ways to solve this problem. The two ways are called "elimination" and "substitution." I don't know which way you usually do it, but for this case, elimination is more efficient, so I'll teach you how to do that. Look how "B" is positive in the first equation, but negative in the second equation. If these two equations get added together, the B-terms will cancel.

 

A + B = 45

A - B = 3

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

2A = 48

A = 24

 

Perfect, we got one of the numbers, which is 24. Plug in A = 24 into any of the equations to find B.

 

A + B = 45

24 + B = 45

B = 21

 

This means that our two magic numbers are 24 and 21. The product of these numbers can be found by multiplying them to get 504 (C). I hope this helps, and good luck with the rest of your math class!

Step-by-step explanation:

please mark me as brainlest

find the value of a cube + b cube when a+b = 5 and ab = 3

Answers

As we know :

[tex] \boxed{ \boxed{ {(a + b)}^{3} = {a}^{3} + {b}^{3} + 3ab(a + b) }}[/tex]

now let's plug the value of given terms :

(5)³ = a³ + b³ + (3×3)(5)

125 = a³ + b³ + 45

a³ + b³ = 125 - 45

a³ + b³ = 80

Answer:

babawi lang sana

Step-by-step explanation:

naul pi

Please help!
I have 10 mins
-I’ll mark BRAINLIEST

Answers

Answer:

The terms are 1/2s, -4, 3/4s, 1/8, and s^3

The like terms are 1/2s and 3/4s

-4 and 1/8 could also technically be counted as like terms but I don't think they're looking for that

Step-by-step explanation:

a like term is a term that has the same variable value associated with the coefficient

What is the value of n?



n/73=8.76

Answers

Answer:

n=639.48

Step-by-step explanation:

Answer:

639.48

Step-by-step explanation:

ANSWER QUICK PLEASE!
Which of the following is NOT an expression?
A. 3x + 4 = 7
B. 6 - i/5
C. x + 8
D. 2x - 3

Answers

Answer:

A. 3x + 4 = 7

Step-by-step explanation:

Expressions do not have an equal sign.

Hopefully this helps!

Brainliest please?

Witch of the following expressions are equivalent to 6+(-4)-5 A -(-6+4)-5 B 6-4-(-5) C 6-(4+5) D 6+4-5 E -(-6)+(-4)-(-5)

Answers

Answer:

c is your answer

Step-by-step explanation:

have a nice day!

Alyssa purchased 3 pounds of peanuts for $8.25. Write an equation that shows the relationship between the cost and the number of pounds purchased

Answers

Answer:$8.25 ÷ 3= x or 3·x =8.25

Step-by-step explanation:

3*x=8.25

Jaliyah wants to play a prank on her older sister at her birthday party. She has two bags of blue glitter that she's planning on filling a birthday hat with. To figure out how much glitter she needs to use, Jaliyah must first find the volume of the party hat. Find the volume of the party hat in cubic inches.

Height = 8.4 inches

Length = 5.3 inches

Answers

Answer:

44.52

Step-by-step explanation:

Volume = b * h

base times height

The height is 8.4 inches so 8.4 *

Length is the same as base so 5.4

8.4 * 5.4

27 equals 2 less than a number

Answers

Answer:

23

Step-by-step explanation:

Cecilia owns just as many cats as she does birds. If her pets have a total of 18 legs, how many cats does she own?

Answers

Answer:

1

Step-by-step explanation:

You can get this answer by adding 4+4+4+4, equaling out to 16...but how is there 18? well you just add 2 for the bird's legs and that's your answer!!

Hope this helps you love!!!

Answer:

3

Step-by-step explanation:

3 cats with 4 legs = 12

3 birds with 2 legs =6

12 + 6=18

Suppose that G(x) = F(x) + 6. Which statement best compares the graph of
G(x) with the graph of F(x)?
O A. The graph of G(x) is the graph of Fx) shifted 6 units to the right.
O B. The graph of G(X) is the graph of F(x) shifted 6 units up.
O C. The graph of G(x) is the graph of F(X) shifted 6 units down.
O D. The graph of G(x) is the graph of Fx) shifted 6 units to the left.

Answers

9514 1404 393

Answer:

  B. (the correct choice is marked)

Step-by-step explanation:

The value of the function for a given x is the vertical position of the point on the graph. Adding 6 to the function value shifts the graph up 6 units.

The graph of G(x) is the graph of F(x) shifted 6 units up.

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