Una avenida está siendo asfaltada por etapas. En la primera etapa se asfaltó la mitad; en la segunda, la quinta parte, y en la tercera, la cuarta parte del total. ¿Cuál es la longitud de la avenida si aún faltan 200 m por asfaltar?

Answers

Answer 1

Answer:

Sabemos que:

L es el largo de la avenida.

En la primer etapa se asfalto la mitad, L/2, entonces lo que queda por asfaltar es:

L - L/2 = L/2.

En la segunda etapa se asfalto la quinta parte, L/5, entonces lo que queda por asfaltar es:

L/2 - L/5 = 5*L/10 - 2*L/10 = (3/10)*L

En la tercer etapa se asfalto la cuarta parte del total, L/4, entonces lo que queda por asfaltar es:

(3/10)*L - L/4 = 12*L/40 - 10L/40 = (2/40)*L

Y sabemos que este ultimo pedazo que queda por asfaltar es de 200m:

(2/40)*L = 200m

L = 200m*(40/2) = 4,000m


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What is the rate of change of the function represented by the table?
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5
3
5
4
5
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Answers

Answer:

First it is adding 15 then it starts adding 3 then 1

Step-by-step explanation:

I need help in an hour or less pls The number N of bacteria in a refrigerated food is given by N(T ) = 20T 2 – 80T + 500, 2 ≤ T ≤ 14 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by T(t) = 4t + 2, 0≤ t ≤ 3 where t is the time in hours. a. Find the composition (N ० T)(t) and interpret its meaning in context. To get the N number of T temperature, after is given in t in the time of hours. b. Find the time when the bacteria count reaches 2000.

Answers

Answer:

The number N of bacteria in a refrigerated food is given by N(T) = 10T^2 - 20T + 600, 2 ≤ T ≤ 20 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by T(t) = 3t + 2, 0 ≤ t ≤ 6 where t is the time in hours.

Step-by-step explanation:

the least number which is divisible by 12 40 75​

Answers

Therefore 9600 is the greatest four digit number divisible by given numbers. Then, if we add 600 to 9600 then we can get least five digit number exactly divisible by given numbers. Hence 10209 is the least five digit number when divided by 12,40 and 75 leaves remainder 9.

Record the steps needed for solving 2(x-8)=24

Answers

Answer:

x=20

Step-by-step explanation:

2 ×(x - 8)=24

2x - 16 =24

2x =24 +16

2x =40

x=40 :2

x=20

work it out pls math 1 -9(t - 2)= 4(t - 15)

Answers

Step-by-step explanation:

1 - ((9*t) - (9*-2) = ( 4*t) - (4*-15)

1 - 9t + 18 = 4t + 60

- 9t - 4t = 60 - 1 - 18

-13t = 40

t = 40/-13

about what is 4/5+8/9

Answers

Answer:

1.688 the 8 will keep repeating

Step-by-step explanation:

Answer:

76/45 or 1.69 (rounded)

Step-by-step explanation:

First, you want to find the LCM (Lowest Common Multiple) of the two fractions.

Here, the LCM would be 45 (5*9).

So the fraction would become:

[tex]\frac{4*9}{45} + \frac{8*5}{45} \\\\\frac{36+40}{45} \\\\\frac{76}{45}[/tex]

A tortilla measures 8 inches in diameter, shown below. What is the tortilla's area?

Answers

16pie square inches

The required area of tortilla is 16π square inches.

What is an area of a circle?

Area of a circle is defined as the region occupied by the circle in two-dimensional plane.

Mathematically,

                         A = π (d/2)²

where d is the diameter of circle

or,                      A = π r²  

where r is the radius of circle.

Now, given diameter of tortilla is 8inches.

⇒ d  = 8inches

Since,tortilla is a circle

So, area of tortilla A = π (d/2)²

⇒ A = π (8/2)²

⇒ A = π (4)²

A = 16π square inches

Hence, required tortilla's area is 16π square inches.

More about area of circle :

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Look at the two points on the number line. Each number
graphed is the square root of a whole number that is not
a perfect square. Write the appropriate square root in
each box. Explain how you found your answers.

Answers

Answer:

√8 and √23

Step-by-step explanation:

The appropriate square root are √7 and √20.

Given that, each number graphed is the square root of a whole number that is not a perfect square.

We need to write the appropriate square root in each box.

What is a square root?

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

Now, we can see the decimal numbers marked on the number line are 2.7 and 4.39.

So, 2.62²=6.8644≈7

Then the square root of number is √7

4.39²=19.2721

Then the square root of number is √20

Therefore, the appropriate square root are √7 and √20.

To learn more about the square root visit:

https://brainly.com/question/3120622.

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Multiply(-7)(2)(-2)

Answers

Answer:

answer is 28..

mark it as brainliest

the LCM of 1 + sin a and 1 - sin is​

Answers

Answer:

gsscxcccvvccc aaaaawaaq

HELP ME PLEASE NEED HELP ASAP !!

Answers

Answer:

Step-by-step explanation:

The answer is A

they are corresponding angles

if M is the midpoint of AB, find the coordinates of A if B(4,-6) and M(1,-2) A is ___.

Answers

Answer:

work is attached and shown

Suppose that 14 inches of wire costs 70 cents. At the same rate, how many inches of wire can be bought for 35 cents?​

Answers

Answer:

7

Step-by-step explanation:

35x2=70 14/2=7

Micheala has 5-cent and 10-cent stamps with a total value of $5.75. If she has 5 more 10-cent stamps than 5-cent stamps, how many of each stamp does she have?

Answers

Answer:

Michaela has 5-cent and 10-cent stamps with a total value of $5.75. x=35; There is 35 5-cent stamps. 35+5= 40; There is 40 10-cent stamps.

Find the measures of two complementary angles, ÐA and ÐB, if mÐA = (7x + 4)° and mÐB = (4x + 9)°. Measure of angle A = ... Measure of angle B =

Answers

Answer:

The measure of angle A is 53 degrees

The measure of angle B is 37 degrees

Step-by-step explanation:

Here in this question, we are interested in calculating the measure of the two angle.

When how angles are complementary, it means the sum of both equals 90 degrees

mathematically ;

(7x + 4) + (4x + 9) = 90

7x + 4x + 4 + 9 = 90

11x + 13 = 90

11x = 90-13

11x = 77

x = 77/11 = 7

The measure of angle A = 7x + 4 = 7(7) + 4 = 49 + 4 = 53 degrees

The measure of B = 4x + 9 = 4(7) + 9 = 28 + 9 = 37 degrees

R is the midpoint of AM. If RA = x2 - 16x and MR = 80, find x.

Answers

Answer:

x = - 4 or x = 20

Step-by-step explanation:

Given R is the midpoint of AM, then

RA = MR , substitute values

x² - 16x = 80 ( subtract 80 from both sides )

x² - 16x - 80 = 0 ← in standard form

(x - 20)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 20 = 0 ⇒ x = 20

x + 4 = 0 ⇒ x = - 4

HELP ME. ASAP HELP ME PLS. PLSSSS
I will give brainlist for the right answer.
Three cars are for sale car a £14240 or car b £15870 or car c £11690 The price of car is rounded to the nearest £100. Which price changes by the greatest amount

Answers

Answer:

1st car is the answer to you question and even explanation is given.

Answer:

when rounded off to nearest 1000

14200, 15900 11700

first car by 40 second car by 30 and third car by 10

so first car

Step-by-step explanation:

If point Q is between endpoints P and R on a segment, PQ = 4x - 12, QR = 2x + 7, and PR = 31, then find the value of x.

Answers

Answer:

x = 6

Step-by-step explanation:

Here it's sayin that Q is a point in between the end-points P & R. If we join P & R , it forms a line segment & Q is in the line segment PR. Hence PQ & QR are also line segments which combine to form line segment PR. So ,

PR = PQ + QR

Putting the given values of PQ ,QR & PR

=> 4x - 12 + 2x + 7 = 31

=> 6x - 5 = 31

=> 6x = 31 + 5

         = 36

=> x = 36/6 = 6

Two vertices of an equilateral triangle are located at (2, 0) and (–2, –3). What is the triangle’s perimeter?​

Answers

Answer:

15

Step-by-step explanation:

one side is equal to 5. So 5 ×3




Un

se nombra usando una única letra
Una
que se extiende infinitamente en dos direcciones, se nombra usando
puntos cualesquiera en ella. Por ejemplo, la recta de la derecha podría recibir los
nombres DE ED
EJ
,0 , entro otros.
M
TI

Answers

Answer:

Step-by-step explanation:

yes

There are $1.95 worth of nickels and quarters in a piggy bank there are three more nickels than quarters how many of each are in the piggy bank write how you got the answer please

Answers

Answer:

6 quarters and 9 nickels

Step-by-step explanation:

alright so this took me like an hour or two to figure out cause I'm stubborn. but I wanted to give an in depth answer

..

1) first we need to know how to write it.

___=___+___

1.95 is the full value of all of the coins so it goes here. (___)=___+___

1.95=___+___

We will use q for number of quarters and n for number of nickels. the value of a quarter .25 and the value of a nickel is .05. put the value of a quarter here. ___=(___)+___

1.95=.25q+___

we will put the value of the nickel here ___=___+(___)

1.95=.25q+.05n

now that we know how to write it, we can move onto step two.

2) figuring out what variable n is

n=___

Since we know that there are three more nickels than quarters, we can start to solve this equation.

n=q+3

3) change (n) to (q+3). dont forget to use parenthesis!

1.95=.25q+.05(q+3)

4) i forget what its called but multiply .05 throughout your parenthesis. ill show you.

1.95=.25q+.05(q+3)

                  .05*q= .05q and .05*3=.15

1.95=.25q+.05q+.15

5) add variables together.

1.95=.30q+.15

6) subtract .15 from both sides to get rid of it.

1.95=.30q+.15

-.15            -.15

1.80=.30q

7) divide .30 from both sides to isolate the q and get the answer of quarters

1.80=.30q

/.30 /.30

6=q

8) add three to the number of quarters to get the number of nickels.

6+3=9 nickels

Here we need to create and solve a system of equations to find the number of coins in the piggy bank.

We will see that there are 6 quarters and 9 nickels.

let's define the variables:

x = number of nickels in the piggy bank

y = number of quarters in the piggy bank.

Knowing that the total value of the coins in the piggy bank is $1.95, then we have:

x*$0.05 + y*$0.25 = $1.95

We also know that there are 3 more nickels than quarters, then we also have:

x = y + 3

Then the system of equations is:

x*$0.05 + y*$0.25 = $1.95

x = y + 3

To solve this, we can see that x is isolated in the second equation, so we can replace it in the other equation to get:

(y + 3)*$0.05 + y*$0.25 = $1.95

Now we can solve this for y:

y*$0.05 + 3*$0.05 + y*$0.25 = $1.95

y*$0.30 + $0.15 = $1.95

y*$0.30 = $1.95 - $0.15 = $1.80

y = ($1.80)/($0.30) = 6

So we have 6 quarters.

Then the number of nickels is given by:

x = y + 3 = 6 + 3 = 9

x = 9

There are 9 nickels.

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Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam save in her account, her brother save five dollars in his.

Answers

Answer:

Ratio [Pam to her brother] = 2:5

Step-by-step explanation:

Given:

Pam saves every two dollar

Her brother saves fives dollar (For every two dollar)

Find:

Ratio [Pam saving and his brothers saving]

Computation:

It is given that if Pam saves $2 her brother saves $5

So,

Ratio [Pam to her brother] = 2/5

Ratio [Pam to her brother] = 2:5

An architect is making a floor plan for an apartment. The floor plan will include a Great Room with a length of 30 feet and a width of 20 feet. On her floor plan, 1 4 inch will represent 1 foot of the room’s actual width.What will be the width of the Great Room, in inches, on her floor plan?

Answers

Will represent 1 foot of the room

3. -(0.5x +0.25) = -38​

Answers

Answer:

-75.5 I think

Step-by-step explanation:

-0.5x-0.25=-38

add 0.25 on both sides.

-0.5=-37.75

-75.5

Answer:

now we need to find x

x will be found by finding what you have to multiply to get to 38

-0.25 x 152=  -38 so x= 152

____________________ This is when you flip a fraction over. pick from these: Absolute Value Distributive Property Equation Evaluate Equivalent Simplify Expression Integers Like Terms Inequality Reciprocal Coefficient Variable Solution Ratio

Answers

Answer:

To divide one fraction by another one, flip numerator and denominator of the second one, and then multiply the two fractions. The flipped-over fraction is called the multiplicative inverse or reciprocal.

Step-by-step explanation:

The answer is Reciprocal

I hope this helps you :)

Step-by-step explanation:

When we flip a fraction we form it's reciprocal, the use of reciprocal is generally used for division of fractions ,Hope this helps....

Hi help me please I don't know how to do it "using the formula evaluate (87)^2" ​

Answers

Answer:

7,569

Step-by-step explanation:

[tex](87)^{2} \\ = {(90 - 3)}^{2} \\ = {90}^{2} - 2 \times 90 \times 3 + {3}^{2} \\ = 8100 - 540 + 9 \\ = 8100 + 9 - 540 \\ = 8109 - 540 \\ = 7,569[/tex]

i am single also help me wha 1000 times 6 divided by 2 plus 6 divided by 8

Answers

Answer:

6/2 + 6/8

3/1 + 3/4

12/4 +4/4

that is 1

Answer:

3,000.75

Step-by-step explanation:

this is the answer

hey mm, i’m lost idk what to do •__•

Answers

To find the perimeter, we must add together the length of each side.

The tick mark on the lines means they are equal, so that means we have two lines that are equal to 10

26 + 10 + 35 + 5 + 10 + (38 - 10) = 114"

expanded form using fractions 1/100

Answers

Answer:

Standard form: 1

Step-by-step explanation

expanded notation form: 1

expanded factors form: 1x1

expanded exponential for 1x 10^0

what’s 2 miles divided by 3

Answers

answer: when you take 5280 feet times two (2 miles) and then divide by three you get 3,520 feet

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