La base de una cartulina rectangular mide 8 cm de altura si le recortamos 3 cm a su altura el area de la nueva cartulina seria 126 cm calcula las dimenciones de la cartulina inicial

Answers

Answer 1

Answer:

[tex]w=8cm\\h=18.75cm[/tex]

Step-by-step explanation:

Let:

[tex]w=Width\\h=Initial\hspace{3}height\\h_m=Modified\hspace{3}height\\\\Where:\\\\h_m=h-3[/tex]

The area of the cardboard can be calculated using the formula to find the area of a rectangle:

[tex]A=w*h[/tex]

The area of the new cardboard would be:

[tex]A=w*h_m\\\\Where:\\\\w=8\\h_m=h-3\\A=126[/tex]

So:

[tex]126=8*(h-3)\\\\126=8h-24[/tex]

Solving for h:

[tex]126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm[/tex]

Therefore, the dimensions of the initial cardboard are:

[tex]w=8cm\\h=18.75cm[/tex]

Translation:

Sea:

[tex]w=Ancho\\h=Altura\hspace{3}inicial\\h_m=Altura\hspace{3}modificada\\\\Donde:\\\\h_m=h-3[/tex]

El área de la cartulina se puede calcular usando la fórmula para encontrar el área de un rectángulo:

[tex]A=w*h[/tex]

El área de la nueva cartulina sería:

[tex]A=w*h_m\\\\Donde:\\\\w=8\\h_m=h-3\\A=126[/tex]

Entonces:

[tex]126=8*(h-3)\\\\126=8h-24[/tex]

Resolviendo para h:

[tex]126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm[/tex]

Por lo tanto, las dimensiones de la cartulina inicial son:

[tex]w=8cm\\h=18.75cm[/tex]


Related Questions

annually versus quarterly. $5,000 at 10% for 5 years

Answers

Answer:

2500

Step-by-step explanation:

500*5

Can’t get this right, please help!!

Answers

Answer:

x = -2

Step-by-step explanation:

The line represented in the graph is x = -2.

We know that lines in the form x =   are vertical, and lines in the form y =   are horizontal.

From this, the vertical line that intersects (-2,0) is x = -2.

Can someone make sure that I’m right

Answers

Answer:

A

Step-by-step explanation: You are correct!

Yup bro you’re right

Naz and Lara are going to the cinema. The film starts at 15.10 They want to arrive 20 minutes early. It takes them 35 minutes to walk to the cinema. What time should they leave home?

Answers

Answer:

they need to arrive at 14:05

Step-by-step explanation:

What is the volumen of a sphere with a diameter of 32.5m

Answers

Answer: 17974.16m cubed

Noah pays $25.20 for non-perishable food items to give to the local homeless shelter the price includes a 5% sales tax.

Answers

The question is incomplete:

Noah pays $25.20 for non perishable food items to give to the local homeless shelter the price includes a 5% sales of tax. what is the price before tax of the food items?

Answer:

$24

Step-by-step explanation:

From the information you have that the price of items is $25.20 and it includes a 5% tax. From this, you can write the following:

x+0.05x=25.20

Then, you can isolate x to find the price before tax:

1.05x=25.20

x=25.20/1.05

x= 24

According to this, the price before tax of the food items is $24.

Can someone help me.???!

Answers

Answer:

the answer is 9

Step-by-step explanation:

you multiply the 6 and 3 and get 18 and then divide by 2 to get 9

Jean-Paul Sovique, the famous sculptor, is building a solid conical sculpture. He has 1,178.1 cubic feet of clay to work with, and he wants his sculpture to be three times as high as its radius. What will the radius and height of his cone be?

Answers

Answer:

Radius = 7.21 feet.

Height = 21.63 feet

- to the nearest hundredth.

Step-by-step explanation:

Let the radius be r feet, then the height will be 3r feet.

So the volume = 1,178.1 = 1/3 π r^2 h

1.178.1 = 1/3  π r^2 3r

1/3 π 3 r^3 = 1178.1

 π r^3 = 1178.1

r^3 = 1178.1/ π

r^3 =   375

r = 7.211 feet.

So the height = 3 * 7.211 ft

= 21.633 ft

Please help! Correct answer only!

There is a spinner with 50 equally likely sections, numbered from 1 to 50. You have the opportunity to spin it. If the number is odd, you win $13. If the number is even, you win nothing. If you play the game, what is the expected payoff?

$___

Answers

Part 1 . " Spinner Problem "

Answer:

" Expected Payoff " ⇒ $ 6.5 ; Type in 6.5

Step-by-step explanation:

[tex]Spinner Sections - 50 Sections,\\Numbers On Spinner - 1 To 50,\\\\Odd = Even,\\Odd Numbers = 50 / 2 = 25,\\Even Numbers = Odd Numbers = 25,\\\\Probability Of Spinning Odd Number - 25 / 50 = ( Simplified ) 1 / 2,\\Money Won - 13 Dollars,\\\\Proportion - 1 / 2 = x / 13, Where - x = " Expected Payoff "\\\\1 / 2 = x / 13,\\2x = 13,\\x = 6.5 Dollars,\\\\Conclusion ; x = 6.5 Dollars[/tex]

Solution ; " Expected Payoff " $ 6.5

_____________________________________________________

Part 2 . " Ticket Problem "

Answer:

" Expected Payoff " ⇒ $ 1.80 ; Type in 1.80

Step-by-step explanation:

Take the probability of winning into consideration;

[tex]Total Number of Tickets - 500,\\Tickets 1 Person Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 500,\\Money Won - 900 Dollars,\\\\Proportionality - 1 / 500 = x / 900 - where, x = " Expected Payoff "\\1 / 500 = x / 900 - CrossMultiplication,\\\\500 * x = 900,\\x = 900 / 500,\\x = 1.80 Dollars Won!\\\\Conclusion ; x = 1.80 Dollars[/tex]

Solution ; " Expected Payoff " ⇒ $ 1.80

Brainliest question please help me answer this question please

Answers

Answer:

Step-by-step explanation:

The equation for a circle is

[tex](x-h)^2+(y-k)^2=r^2[/tex]

We have our h and k from the center as h = -1 and k = -3, and we also know the radius, which is 6. We also have an x/y coordinate as (-6, -6) and we want to know if that coordinate lies in, on, or outside of the circle. The way we will do that is plug everything into the circle equation and solve. If what we solve for is less than the radius, then the point is inside the circle; if what we solve for is equal to the radius, then the point is on the circle; if what we solve for is greater than the radius, then the point in outside the circle.  Here we go:

[tex](-6-(-1))^2+(-6-(-3))^2?36[/tex] .  There's a question mark there intentionally. The left side is the one we are solving for to see if it is less than, equal to, or greater than, 36.  Continuing,

[tex](-6+1)^2+(-6+3)^2? 36[/tex] and

[tex](-5)^2+(-3)^2?36[/tex] and

25 + 9 ? 36

34 ? 36

We know that 34 is less than 36, so the point lies INSIDE the circle.

Answer:

a

Step-by-step explanation:

because it is in the circle

An acorn falls from the branch of a tree to the ground 25 feet below. The distance, S, that the acorn is from the ground as it falls is represented by the equation S(t) = –16t2 + 25, where t is the number of seconds. For which interval of time is the acorn moving through the air?

Answers

Answer:

0<t<5/4  or B

edge

The interval of time, the acorn moving through the air is t > 5/4.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

An acorn falls from the branch of a tree to the ground below = 25 feet

The equation is [tex]S(t) = -16t^2 + 25[/tex], where t is the number of seconds and

S is the distance.

At t=0,

⇒ [tex]S(0) = -16(0)^2 + 25[/tex]

⇒ [tex]S(0) = 25[/tex]

Initially, the acron is at 25 feet above the ground level. So t > 0, for the acron to fly on air.

The interval can be found as,

⇒ [tex]-16t^2 + 25 > 0[/tex]

⇒ [tex]-16t^2 > -25[/tex]

⇒ [tex]t^2 > \frac{25}{16}[/tex]

⇒ [tex]t > \sqrt{\frac{25}{16} }[/tex]

⇒ [tex]t > \frac{5}{4} or \frac{-5}{4}[/tex]

since t > 0, the interval is [tex]t > \frac{5}{4}[/tex]

Hence we can conclude that the interval of time, the acorn moving through the air is t > 5/4.

Learn more about word problems here

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I dare you to solve this!Foil method

Answers

Answer:

a^(2m) + 2 a^m b^ (n-1) + b^ ( 2n -2)

Step-by-step explanation:

( a^m + b^(n-1) )( a^m + b^(n-1) )

FOIL

first: a^m a^m = a^ 2m

outer: a^m b^ n-1

inner a^m b^ n-1

last : b^ n-1  b^ n-1 = b^ ( 2n -2)

Add together

a^(2m) + 2 a^m b^ (n-1) + b^ ( 2n -2)

find the coordinates of M' after a reflection across the line y= -1 and then across the line x= -2. Answer in form (a,b)
Part 8a​

Answers

Answer:  (-1,3)

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

Explanation:

Point M is currently located at (-3, -5). Note the y coordinate is y = -5. The vertical distance from this y coordinate to y = -1 is 4 units. If we move another 4 units up from y = -1, we end up at y = 3.

What does this mean? It means that reflecting point M over the line y = -1 has it end up on (-3, 3), which I'll call point N. See the diagram below.

---------

Next we reflect over the line x = -2. The horizontal distance from x = -3 to x = -2 is one unit. So we move another unit to the right to end up at x = -1.

Therefore, reflecting (-3,3) over the line x = -2 will have the point land on (-1, 3)

---------

When we reflect over the line y = -1 first and then the line x = -2 second, we will have the point (-3, -5) move to (-3,3) and then to (-1,3) in that order.

Check out the diagram below.

Which statement describes this pair of congruent triangles? Triangle H K J. Angle H is 58 degrees, angle K is 60 degrees, and angle J is 62 degrees. Triangle L M N. Angle L is 62 degrees, angle N is 58 degrees, angle M is 60 degrees. Triangle H J K is congruent to triangle L M N Triangle H J K is congruent to triangle M L N Triangle H J K is congruent to triangle N L M Triangle H J K is congruent to triangle N M L

Answers

Answer:

(C)Triangle HJK is congruent to triangle NLM

Step-by-step explanation:

In Triangle HKJ

Angle H is 58 degrees. Angle J is 62 degrees.Angle K is 60 degrees

In Triangle LMN (Arranging in the same order as the angles above)

Angle N is 58 degrees.Angle L is 62 degrees.Angle M is 60 degrees.

Therefore, we can say that:

Triangle HJK is congruent to Triangle NLM.

The correct option is C

Answer:C

Step-by-step explanation:

Solve the equation 2x - 3 plus 4x = 21

Answers

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

Add like terms and get x by itself.

[tex]2x-3+4x=21\\6x-3=21\\6x=18\\x=3[/tex]

y=7x^2-3
find the value of the discriminant
is there 2 real solution, 1 real solution, or no real solution

Answers

Step-by-step explanation:

We have,

[tex]y=7x^2-3[/tex]

It is required to find the value of the discriminant. It is given by :

[tex]D=b^2-4ac[/tex]

Here, a = 7 b = 0 and c = -3

So,

[tex]D=(0)^2-4\times 7\times (-3)\\\\D=84[/tex]

The discriminant is positive here, it means that it has two distinct real number solutions.

Find the circumference of the circle below. (Use 3.14 for Pi)

Answers

The answer is 75.36 m

Please see the attached picture for full solution

Hope it helps

Answer:

[tex]75.36m[/tex]

Step-by-step explanation:

[tex]c = 2\pi \: r \\ = 2 \times 3.14 \times 12 \\ = 75.36m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Game 1. There are 20 sticks. 2 players take turns removing 1 or 2 sticks. The player who cannot make a move loses. Can you always win if you can choose whether you go first or second? How?

Answers

U can lose both ways

Seth's family plans to drive 220 220 miles to their vacation spot. They would like to complete the drive in 4 4 hours. Find the average speed in miles per hour needed to make the trip in the desired time.​

Answers

Answer: 55 miles per hour

Step-by-step explanation:

Here is the complete question:

Seth's family plans to drive 220 miles to their vacation spot. They would like to complete the drive in 4 hours.

Find the average speed in miles per hour needed to make the trip in the desired.

From the question, Seth's family plans to drive 220 miles to their vacation spot and they would like to complete the drive in 4 hours.

Average speed is calculated as distance travelled divided by the time taken. This will be:

Speed = Distance/Time

Average speed = 220/4

Average speed = 55 miles per hour

are there any words that would be hard to precisely define

Answers

Answer:

relative is one, if u need more just ask

Step-by-step explanation:

round 76 million to 1 significant figure

Answers

Answer: 80,000,000

76 million in numbers is 76,000,000

this in 1 significant figure is 80,000,000

I need help with this i don’t know if I’m right so please help

Answers

Answer:

You're correct, it's a reflection.

Step-by-step explanation:

A glide reflection is for geometry where the object must go through a series of transformations and be reflected across the axis, this doesn't go through any transformations.

Answer:

reflection, i think for it to be a glide reflection, the image below it would be upside down or sideways

Step-by-step explanation:

1 punto
4. Los miembros de una
asociación de productores
decidieron donar $5,000.00
cada uno para mejorar la
producción. Que
procedimiento permite
conocer la aportación total?
A) Dividir $5,000.00 entre la
cantidad de productores
B) Multiplicar la cantidad de
productores por $5,000.00
C) Sumar la cantidad de
productores más $5,000.00
О
D) Restar $5,000.00 a la cantidad de
productores

Answers

Answer:

Multiply the number of producers by $ 5,000.00

Question:

Members of a producer association

decided to donate $ 5,000.00 each to improve the production. Than

procedure allows know the total contribution?

A) Divide $ 5,000.00 between the

number of producers

B) Multiply the amount of producers for $ 5,000.00

C) Add the amount of producers plus $ 5,000.00

О

D) Subtract $ 5,000.00 from the amount of producers

Step-by-step explanation:

We are asked to find the total contribution

Each manufacture will contribute $5,000.00

We were not told the number of manufacturers that would be contributing the amount.

Total contribution = number of manufactures × $5000

The procedure that allows one to know the total contribution:

Multiply the number of producers by $ 5,000.00

Option has B stated 'amount' instead of 'number'. It may be a mistake

B) Multiply the amount of producers for $ 5,000.00

A coordinate plane. A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check all that apply. (12, 3) (–2, –5) (–3, 1) (1, 15) (5, –2)

Answers

For a line with a positive slope that passes through (0, 1), the points that can't be on the line are:

(-3, 1) and (5, -2)

Which of these points could that line NOT pass through?

We know that the line passes through the point (0, 1) and has a positive slope. This means that for values of x larger than x = 0, the values of y in the line will be larger than 1.

Then if we find a point with:

x > 0

y ≤ 1

That point clearly can't belong to our line.

And points with:

x < 0

y ≥ 1

Also can't belong to the line.

Then the correct options are: (-3, 1) and (5, -2)

If you want to learn more about linear equations:

https://brainly.com/question/1884491

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Answer:

The ACTUAL answer is.. (-3,1) and (5,-2), in other words, C and E.

Step-by-step explanation:

You're welcome, I got the question wrong,o_o, that's the only reason I know the answers, good day.

ab-bc , bc-ca, ca-ab​

Answers

Answer:

2ab

Step-by-step explanation:

I am pretty sure this is adding polynomials.

This is not correct.

ab-bc+0

ab+bc-ca

0+0+ca

If you take each row at a time, you get.

ab-bc+0

ab+bc-ca

=

2ab+0-ca

0+0+ca

2ab

2ab is your answer

Ana will spin the spinner. What is the probability that Ana's spin will land on yellow? If there are 2 Red Sections, 3 Blue Sections, 4 yellow Sections, 3 Black Sections.

Answers

Answer:

The probability is 1/3

Step-by-step explanation:

Here, we are interested in calculating the probability that the spinner will land on the yellow section.

Firstly, we need to calculate the total number of sections. That would be = 2 + 3 + 4 + 3 = 12 sections

Now, the probability that the spinner will land on the yellow section = number of yellow sections/total number of sections

There are four yellow sections

Thus, the probability of the spinner falling on a yellow section = 4/12 = 1/3

EASY- 15 POINTS
David buys a pair of shoes. The retail price of the shoe is $384. The
percent markup is 140%. What is the wholesale price of the shoes?
A. $274.29
B. $960
C. $240
D. $160​

Answers

Im not sure if im correct, but I think it’s B
The correct answer would be b

PLEASE HELP ME I NEED HELP ASAP!!!!!!

Jade earned a 7% commission on a $500 sale of a boat. How much was her commission?

A.$535
B.$500
C.$35
D.$50

Answers

Answer:

C.$35

Step-by-step explanation:

Commission = 7% of 500

= 0.07 * 500 = $35

create a radical that would simplify to the radical indicated.

Answers

Answer:

∛(3b)^4

Step-by-step explanation:

Note that the square root of 36 is 6; in other words, 6^2 = 36.

So (√36)(5) = 6√5

Someone please help me with my homework:(

Answers

Answer:

16

Step-by-step explanation:

The area of a triangle is b*h/2

4*8/2

=16

The Answer to this is (16)
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