A rectangular piece of metal is 5 in longer than it is wide. Squares with sides 1 in long are cut from the four corners and the flaps are folded upward
to form an open box. If the volume of the box is 594 in,what were the original dimensions of the piece of metal?
What is the original width in inches?

Answers

Answer 1
original dimensions: x and x+5

(x-2)(x+5-2)(1) = 644

Now just solve for x.
Answer 2

The width of the piece of metal will be 24 inches while the length will be 29 inches.

What is a rectangle?

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Let's say the width of metal w then the length will be w + 5

Now if we cut 1 inch square from the corner of the metal and then fold then the resultant cuboid will have;

Length = w+5 - 2 -= w + 3

Width = w - 2

Height = 1

So,

Volume = (w+3)(w-2)1

594 = w² + 2w + 3w - 6

w² + w - 600 = 0

By solving this

w = 24 so width will be 24 and length will be 24 + 5 = 29.

Hence "The width of the piece of metal will be 24 inches while the length will be 29 inches".

For more about rectangles,

https://brainly.com/question/15019502

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A Rectangular Piece Of Metal Is 5 In Longer Than It Is Wide. Squares With Sides 1 In Long Are Cut From

Related Questions

Which expression is equivalent to 6x-9/3​

Answers

Answer:

option A is the answer 2x-3

Answer:

2x-3

Step-by-step explanation:

(6x-9)/3

This can be simplified to

6x/3  - 9/3

2x -3

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

B. 2

Step-by-step explanation:

1.87

11 x 17  / 100  = 1.87

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Answers

Answer:

y=(5/6)x

Step-by-step explanation:

its how much it rises over how much it runs. so it goes up 5 and to the right 6

Answer:

Step-by-step explanation:

The y intercept is 0. The point that holds the y intercept is (0,0)

The slope is

m = y / x

y = 10

x = 12

m = 10/12

m = 5/6

The equation is y = 5/6 x which looks like D

Question 7
1 pts
Select all sets of points that have a slope m = 2.
(4, 2) and (2,-2)
O (2, -3) and (1,5)
(15, 12) and (5, -8)
(6,5) and (-1,-9)
(2, -3) and (-3,-2)

Answers

Answer:

(4,2) and (2,-2)

Step-by-step explanation:

using m=y2-y1/x2-x1

m= -2-2/2-4=-4/-2

therefore,

m=2

simplify the quotient. Write the answer in sn.

Answers

Answer:  2.25 x 10 -7   -7 is the exponent

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10  If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

A hen costs $4 and chicks are sold at 3 for $2. A farmer paid $100 exactly for 80 of these birds. How many of each type did he buy?​

Answers

Answer:

Above is the answer, coupled with a detailed step-by-step explanation. Thank you!

How to solve this guys..:< Show solution guys pls.. (3/7)(3/7)

Answers

Answer:

[tex] \frac{3}{7} \times \frac{3}{7} = \frac{9}{49 } [/tex]

PLEASE HELP! ILL GIVE BRAINLIEST!I! I uploaded a picture below.

Answers

Answer: The answer is 3 basic toppings and 2 premium toppings.

PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS

Answers

Answer:

y = 3x

Step-by-step explanation:

When y = 12, x = 4

When y = 0, x = 0

The y intercept is zero.

The easiest point to see clearly is (4,12)

m = y / x because the y intercept is 0

m = 12/4 = 3

The equation of the line is

y  = 3x which is the last one.

5+2x=2x+6

do anyone know the answer

Answers

Answer:

no solutions

Step-by-step explanation:

5+2x = 2x+6

Subtract 2x from each side

5+2x-2x = 2x+6-2x

5 = 6

This is not a true statement so there are no solutions

If 8 drinks cost 12 dollars how much will 12 drinks cost

Answers

Hello there for this problem we can make a proportion

[tex]\frac{8\:drinks}{12\:cost}=\frac{12\:drinks}{x}[/tex], we are trying to find how much x is

cross multiply and we get that [tex]8x=144[/tex]

divide both sides by 8 and we get [tex]x=18[/tex], 12 drinks would've cost 18 dollars

Answer:

1 drink = 12 ÷ 8

= 1.5

So 12 drink = 12 × 1.5

= 8 dollars

A large university accepts 60% of the students who apply. Of the students the university accepts, 45% actually enroll. If 30,000 students apply, how many actually enroll?

________ students would actually enroll. (Type a whole number)

Answers

Answer:

4,500 hope this help

Step-by-step explanation:

I think it would be 13500 students that enroll since 45% actually enrolled meaning if you set up 45/100 and x/30,000 you’d get an answer of 13500

what is 2x+3=4 [tex]mbjbjjnjnjknjn[/tex]

Answers

Answer:

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

2x + 3 = 4

subtract 3 from both sides to get x by itself on the left side:

2x = 1

divide both sides by 2:

x = [tex]\frac{1}{2}[/tex]

Joseph earns a salary of $40 per day working at a pizza
restaurant. He earns an additional $3 for every delivery he makes.
Which function represents the amount of money, y, Joseph will earn in one day if he makes x deliveries?
A y = 3x + 40
B y = 3x - 40
C y = 40x + 3

Answers

Answer:

C

Step-by-step explanation:

40x + 3

Answer:

A y = 3x + 40

Step-by-step explanation:

He is paid $40 every day to you would add that number to the equation, then every time he makes a delivery, he makes an additional $3.

So, to find the amount of money he would make in one day your equation should look something like this

y = 3x + 40

y being that amount of money he makes in one day

3 being that amount of money he receives for every delivery

x being the number of deliveries he makes in one day

40 being that amount of money he makes in one day.

_________________________________________________________

Hope this helps!!

Please tell me if I have made a mistake; I enjoy learning from them:)

please answer, click on file, thank you ​

Answers

Answer:

3x²

im lazy to solve right now

hope it helps

Answer:

Step-by-step explanation:

half of the circle is 180 degrees

so x + 3x = 180

4x = 180

x = 45

Can someone help me with this one too

Answers

the answer is x = -2

mark me brianliest

Answer:

3(4-2P) = 6*4

12-6P=24

-6P=24-12

P= 12/-6

P= -2


pls help for 50 pts!!!!!!!!!!!!!

Answers

Answer:

w is 22.5°

See solution in the photo

Answer:

22.5⁰

Step-by-step explanation:

<Q = <S = 5w⁰

<R + <S = 180 (Linear pair)

3w + 5w = 180

8w = 180

w = 180/8

w = 22.5⁰

Find the 82nd term of the arithmetic sequence —8, 9, 26, ...

Answers

N+17 , every sequence goes by that

82+17 = 99

Find the area of each figure

Answers

Answer:

24

Step-by-step explanation:

12*4/2

It’s 24 since 12 x 4 = 48 than you divide it by 2

1.

Solve using traditional division: 7,925 divided by 25.

Answers

It’s 317 I know that bc I got it right when I had that question

f(x) = (x - 1) (4x + 3) (3x - 8) has zeros at x = 3/4, x= 1, and x = 8/3.
What is the sign of f on the interval - 3/4

Answers

Using the given roots, it is found that on the interval [tex]-\frac{3}{4} < x < 1[/tex], the function is positive.

The function is:

[tex]f(x) = (x - 1)(4x + 3)(3x - 8)[/tex]

The zeroes are:

[tex]x = -\frac{3}{4}, x = 1, x = \frac{8}{3}[/tex]

Between two zeroes, the function has the same sign, hence, to find the sign on the interval [tex]-\frac{3}{4} < x < 1[/tex], we find the numeric value of the function of a value of x on the interval, for example f(0), for x = 0.

Then:

[tex]f(0) = (0 - 1)[4(0) + 3][3(0) - 8] = (-1)(3)(-8) = 24[/tex]

Since f(0) is positive, the function is positive on the interval [tex]-\frac{3}{4} < x < 1[/tex].

A similar problem, in which it is desired to find the sign of the function, is given at https://brainly.com/question/4787253

solve this
x2 + 14 x + 33 = 0

Answers

Are we solving for X? If so X = -3, -11

Answer:

-11, -3.

Step-by-step explanation:

x^2 + 14x + 33 =0

To factor this we need 2 numbers whose product is 33 and whose sum is 14 .

These are 3 and 11, so:

(x + 3)(x + 11) = 0

x = 11, -3.

The following are some items that Carlo and his brother need to buy for their donations to their barangay: Instant Noodles- Php 6.75 Sardines-Php19.25 Sugar-Php49.50/kg Coffee-Php7.75 Rice-Php 35.05/kg *About how much money must they have to be able to buy : 1. 20 packs of instant noodles 134.96 2.2.5 kg of sugar 3. 15 kg of rice 4. 5 cans of sardines 5. 10 small packs of coffee​

Answers

The amount of money they must have to be able to buy the items is Php958.25

if 1 pack of instant noodle costs Php 6.75, 20 packs of instant noodles will cost (6.75 * 20) = 135Php

If sugar costs Php49.50/kg, then 2.5 kg of sugar will cost (2.5* 49.5) = Php123.75

If Rice cost Php 35.05/kg, the cost of 15 kg of rice will be (15*35.05) = Php525.75

If a pack of sardine cost Php19.25, 5 cans of sardines will cost Php96.25

If a pack of coffee costs Php7.75, the cost of 10 small packs of coffee​ will be Php77.5

The amount of money that they must have is the sum of all the amount expressed as:

Total amount  = Php135 + Php123.75 +  Php525.75 + Php96.25 + Php77.5

Total amount = Php958.25

Hence the amount of money they must have to be able to buy the items is Php958.25

Learn more on cost here: https://brainly.com/question/11408596

find the ratio of : 800 ml to 4.8 litres​

Answers

Answer:

The ratio is [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

We have

[tex]\frac{800mL}{4.8L} \\\\\frac{0.8L}{4.8L}\\\\\frac{1}{6}[/tex]

PLEASE HELP TEST DUE SOON⚠️
What is the equation for the line in slope intercept form

Answers

Answer:

The answer should be [tex]y=mx+b[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex] is the only thing I can think of when your talking about the equation of the line in intercept form, but I'm 85% sure this is correct.

Hope this helps!

Can you mark me brainliest?

Have a great day/night/afternoon!

- ❤ 7272033Alt ❤

The answer is: y=mx+b

What is the missing number in the table? x 1 2 3 4 5 y 6 36 216 ??? 7,776 252 396 864 1,296.

Answers

The missing number in the table is 1296

The y-values of the table form a geometric sequence as shown:

6, 36, 216,......

The nth term of a geometric progression is expressed using the formula;

[tex]T_n=ar^{n-1}[/tex]

a is the first term = 6r is the common ratio = 36/6 = 216/36 = 6n is the number of terms = 4 (since we need the 4th term)

Substitute the given parameters into the formula:

[tex]T_5=6(6)^{4-1}\\T_5=6(6)^3\\T_5=1296[/tex]

Hence the missing number in the table is 1296

Learn more on geometric sequence here; https://brainly.com/question/1509142

Answer:

1296

Step-by-step explanation:

Need help on HS geometry

Answers

Here, RY = PY.Angle QRY = Angle QPY = 90°QY = QY [common]Therefore, ∆ QRY = ∆ QPYBy c.p.c.t., angle RQY = angle PQYTherefore, [tex]16x - 27 = 5x + 6 \\ = > 16x - 5x = 6 + 27 \\ = > 11x = 33 \\ = > x = 3[/tex]Therefore, the measure of angle YQR[tex] = (16x - 27)° \\ = (16 \times 3 - 27)° \\ = (48 - 27)° \\ = 21°[/tex]

Answers:

321°

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\\ \tt\Rrightarrow 16x-27=5x+6[/tex]

[tex]\\ \tt\Rrightarrow 16x-5x=6+27[/tex]

[tex]\\ \tt\Rrightarrow 11x=33[/tex]

[tex]\\ \tt\Rrightarrow x=3[/tex]

m<YQR=16(3)-27=48-27=21°

can someone please help me with this?!

Answers

The answer is A (y = 3x-3)

Pam works a 52 hours in a week. Considering that a normal work week is 40 hours and paid at $1470 per hour and overtime is paid at time and a quarter

What is her basic wage ?


How much is she paid in overtime wages? (SHOW WORK) *


What is her gross wage ?

Answers

Step-by-step explanation:

they way it is written, she has one of the best paying jobs in the world : $1470 per hour ...

but I guess it is really $14.70 per hour, right ?

that is then her basic wage : $14.70 per hour for 40 hours = 14.7 × 40 = $588.

her overtime rate is then 14.7×1.25 (one time and a quarter) = 18.375 ≈ $18.38

and she gets that rate for all hours beyond the basic 40 hours, so, 52-40 = 12 hours.

12×18.38 = $220.56

or if you need it totally precise

12×18.375 = $220.50

in total, her gross wage for that week is then

588 + 220.56 = $808.56

or totally precise with unrounded hourly rates

588 + 220.5 = $808.50

which would create a mean hourly rate

808.56/52 = $15.54923077... per hour ≈ $15.55 per hour

or

808.5/52 = $15.54807692... per hour ≈ $15.55 per hour

many payroll systems do the rounding of the hourly rates and then calculate the total amount (as the first option here). some others keep the full decimal positions in the calculation and then only round the total (as the second option here).

so, it is the question what your teacher expects here. I cannot tell from the description.

The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it - IM JUST KIDDING I ACTUALLY NEED HELP THO​

Answers

45 degrees. A triangle should add up to 180 degrees. So 76+59+?=180. The ? Is 45 so that is your answer. Another way is to take 180 and subtract 59 and 76 which will leave you with 45.
Following the Triangle Sum Theorem, the three angles in a triangle must sum up to 180°.

Therefore, we can create an equation to find the measure of angle 1, given the two other angles.

76+59+x=180. x=the measure of angle 1 (unknown).

135+x=180. [76+59=135]

135-135+x=180-135 [Isolate x by subtracting 135 from both sides]

x=45.

Therefore, the angle measure of angle 1 = 45°
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