Dos secretarias deben escribir el mismo número de cartas. La primera escribe 2 cartas por hora y la otra, 5 cartas por hora. Si la primera ha empezado 6 horas antes que la segunda. ¿Cuántas horas
trabajó la primera?
Ayuden!!

Answers

Answer 1

Answer:

El número de horas que trabajó la primera secretaria es de 10 horas

Step-by-step explanation:

Los parámetros dados son;

El número de letras que la primera secretaria puede escribir por hora = 2 letras

El número de letras que el segundo secretario puede escribir por hora = 5 letras

Dado que la primera secretaria comenzó 6 horas antes que la segunda secretaria, tenemos;

Sea el tiempo en horas en que ambas secretarias habrán escrito el mismo número de letras = [tex]t_e[/tex]

2 × [tex]t_e[/tex] + 2 × 6 = 5 × [tex]t_e[/tex]

2 × [tex]t_e[/tex] + 12 = 5 × [tex]t_e[/tex]

12 = 5 × [tex]t_e[/tex] - 2 × [tex]t_e[/tex] = 3 × [tex]t_e[/tex]

12 = 3 × [tex]t_e[/tex]

3 × [tex]t_e[/tex] = 12

[tex]t_e[/tex] = 12/3 = 4 horas

El número de horas que trabajó la primera secretaria = Tiempo de inicio anticipado + Tiempo que le toma a la segunda secretaria que comenzó 6 horas más tarde y a la primera secretaria que había estado escribiendo durante 6 horas (inicio anticipado) escribir la misma cantidad de cartas

El número de horas que trabajó la primera secretaria = 6 + 4 = 10 horas.

Por lo tanto, el número de horas que trabajó la primera secretaria = 10 horas.


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Answers

Answer:

The co-terminal angle of [tex]\frac{3\pi}{4}\ \text{radians}[/tex] is [tex]-\frac{5\pi}{4}\ \text{radians}[/tex].

Step-by-step explanation:

The angle provided is, [tex]\frac{3\pi}{4}\ \text{radians}[/tex].

Convert the angle into degrees as follows:

[tex]\frac{3\pi}{4}\ \text{radians}=\frac{3\times180^{o}}{4}=135^{o}[/tex]

Co-terminal angles are those angles that share the same terminal and initial sides.

To find the co-terminal angle of a provided angle, we just need to add or subtract 360° or 2π to it.

Determine the co-terminal angle of [tex]\frac{3\pi}{4}\ \text{radians}[/tex] as follows:

[tex]\text{Co-terminal Angle}=\frac{3\pi}{4}+2\pi[/tex]

                             [tex]=\frac{3\pi+8\pi}{4}\\\\=\frac{11\pi}{4}[/tex]

[tex]\text{Co-terminal Angle}=\frac{3\pi}{4}-2\pi[/tex]

                             [tex]=\frac{3\pi-8\pi}{4}\\\\=-\frac{5\pi}{4}[/tex]

Thus, the co-terminal angle of [tex]\frac{3\pi}{4}\ \text{radians}[/tex] is [tex]-\frac{5\pi}{4}\ \text{radians}[/tex].

Answer:

Its A

Step-by-step explanation:

edge

if Angie’s gross pay for 21.5 hours was $282.08, what was her pay per hour?

Answers

Answer:

$13.12 per hour

Step-by-step explanation:

Take the total pay and divide by the number of hours

$282.08/21.5 hours

$13.12 per hour

Answer:

Step-by-step explanation:

21.5 hours - $282.08

1 - ?

$282.08/21.5 = $13.12

Allison is rolling her hula hoop on the playground. The radius of her hula hoop is 35 \text{ cm}35 cm35, start text, space, c, m, end text. What is the distance the hula hoop rolls in 444 full rotations?

Answers

Answer: 880 cm

Step-by-step explanation:

Given: Radius of the hula hoop = 35 cm

Hula hoop is  circular in shape

Then, Circumference = [tex]2\pi r[/tex] , where r = radius

Now , Circumference of hula hoop = [tex]2\times \dfrac{22}{7}\times35=220\ cm[/tex]

Now , the distance the hula hoop rolls in 4 full rotations = 4 × (Circumference of hula hoop)

[tex]= 4 \times 220=880\ cm[/tex]

Hence, the required distance = 880 cm

Answer:

880

Step-by-step explanation:

If y is inversely proportional to x and y = 15 when x= 3 Find x when y = 5.

X=5
X=8
X=9
X=1

Answers

Answer:

answer is 1

Step-by-step explanation:

y∝x

y=kx

15=3k

divide 3 both sides

k=5

so y=5x

when y is 5

5=5×x

divide 5 both sides

x=1

A car advertisement claims that a certain car can accelerate from rest to 70 km/hr in 7 seconds find the car acceleration

Answers

Answer:

acceleration [tex]\approx 2.78\,\,\frac{m}{s^2}[/tex]

Step-by-step explanation:

The acceleration is the change in velocity per unit of time.

Therefore to have this rate in appropriate units that can combine, we re-write the change from 0 to 70 km/h in meters per second using:

[tex]70 \frac{km}{h} = \frac{70000}{3600} \frac{m}{s}[/tex]

so in this case the acceleration becomes:

[tex]accel=\frac{change\,\,vel}{change\,\,time} =\frac{70000m}{3600\,*7\,s^2} \approx 2.78\,\,\frac{m}{s^2}[/tex]

how do you solve for 5/6w = 2/3 (the answer is w= 4/5) I just don’t know how to show it.

Answers

Answer:

5/6w=2/3

5/6(4/5)=2/3

20/30=2/3

20/30=10/15=2/3=2/3

Proof:

5/6w=2/3

6/5*5/6w=2/3*6/5

30/30w=2/3*6/5

w=12/15=4/5

Hope this helps ;) ❤❤❤

Please Help me 5 People can build a wall in one hour how long will it take 8 people Give the answer in Minutes

Answers

Answer:

if 5 people =1 hour. which is 60 minutes.

so 8people.52 minutes ...it wont take hours .since an hour is 60 min.

Answer:

[tex] \boxed{37.5 \: \: \: minutes}[/tex]

Step-by-step explanation:

Let's solve:

[tex] \mathsf {people \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: time( \: in \: minutes) }[/tex]

[tex] \mathsf{5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 hour = 60 minutes}[/tex]

[tex] \mathsf{8 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x}[/tex]

Here, Let 8 people take x minutes to complete the work.

Since, the number of people and their working minutes are indirect proportional. So,

Here, the ratio of people = 5 : 8

The ratio of minutes = 60 : x

So,

[tex] \mathsf{ \frac{5}{8} = \frac{x}{60} }[/tex]

Apply cross product property

⇒[tex] \mathsf{8x = 60 \times 5}[/tex]

Multiply the numbers

⇒[tex] \mathsf{8x = 300}[/tex]

Divide both sides of the equation by 8

⇒[tex] \mathsf {\frac{8x}{8} = \frac{300}{8} }[/tex]

Calculate

⇒[tex] \mathsf{x = 37.5 \: minutes}[/tex]

Hope I helped!

Best regards!

SOMEBODY PLS HALP ;( According to the number line, which statement MUST be true? A) A > 1 B) B > 4 C) C < 4 D) D < 0

Answers

Answer:

B

Step-by-step explanation:

B sqrtb is right in front of 2, so 2 squared is 4, so a little bit more than 2 squared will be a little more than four.

Answer:

C) C < 4

Step-by-step explanation:

because c is on the right side of four on the number line

Find the point-slope equation for
the line that passes through the
points (7,-21) and (-4,23). Use
the first point in your equation.
y +[? ] = [ ](x + [ ])

Answers

Answer:

y+(21)=-4(x-7)

Step-by-step explanation:

the point slope equation , two point

m=y2-y1/x2-x1

m=23+21/-4-7=44/-11= -4

y+(21)=-4(x-7)

The cost for an upcoming field trip is $30 per student. The cost of the field trip C. in dollars, is a function of the number of students x.

Select all the possible outputs for the function defined by
C(x)=30
a. 20
b. 30
c. 50
d. 90
e. 100​

Answers

Answer: B and D

Step-by-step explanation: since it is $30 per student the total cost would have to be a multiple of 30

The Tama, Japan, monorail carries 92,700 riders

each day. If the monorail usually carries

5,150 riders per hour, how many hours does

the monorail run each day?

Answers

Answer:

The monorail runs 18 hours runs every day.

Step-by-step explanation:

You know that the total number of riders the monorail carry each day is 92700 and the number of riders the monorail carry per hour is 5150.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.

A direct proportionality relationship is established between two quantities if:

The greater the quantity in one quantity, the greater the quantity in the other quantity, in the same proportion. The less quantity in the magnitude corresponds to the less quantity in the other magnitude, in the same proportion.

If the relationship between the magnitudes is direct the direct rule of three must be applied and to solve a direct rule of three, the following formula must be followed:

a ⇒ b

c ⇒ x

Being

[tex]x=\frac{c*b}{a}[/tex]

In this case the rule of three can be applied in the following way: if the monorail carries 5,150 passengers in 1 hour, the monorail will transport 92,700 passengers in how many hours?

[tex]amount of hours=\frac{92,700 passengers*1hour}{5,150 passengers}[/tex]

amount of hours= 18 hours

So the monorail runs 18 hours runs every day.

y=2/5x-12 is it liear or nolinear or both

Answers

Answer:

Step-by-step explanation:

y=2/5x-12 it is a linear equation in the form of y=mx+b

the best way to know is to graph the function

Need help please! Oh and the options are
A. 2/3
B. 1/5
C. 4/15
D. 2/7

Answers

Answer:

C. 4/15There are 15 spaces in total with 4 shaded columns

Step-by-step explanation:

Answer:

Hey there!

The answer would be C. 4/15.

4/5(1/3)=4/15

Let me know if this helps :)

I also need to know this one pretty soon pleaseee​

Answers

Answer:

128

Step-by-step explanation:

Hikes a location 27 meters above sea level. Brain hikes to a location 21 meters below sea level. Write an integer yo represent each hiker location with respect to sea level

Answers

Answer:

The number describing its location of Melissa to the sea-level is= 27  

The number which would be the position of Brian to the sea-level is = -21

Step-by-step explanation:

The number may be negative, positive, or zero.  

Let the sea level be 0.  

They realize that the location of Melissa is 27 meters and above the sea-level, per the relevant information given throughout the exercise.

It also may assume that it's numerical representing its position becomes greater than zero throughout terms of sea-level (this means that it is positive).  

It would then be= 27  

The place of Brian is 21 m away from the sea.  

The integer of its location is less than zero (negative), as regards the amount of the sea.  

It is, therefore= -21

What does it mean when a polynomial equation is in standard​ form?
All terms are on one side of the equation, and zero is on the other side.
It is in the form Ax+Bx=C.
The polynomial is in factored form.
All terms with a variable are on one side of the​ equation, and the constant is on the other side of the equation.

Answers

Answer:

Standard form is Ax + By = C

Step-by-step explanation:

Answer:

The standard form is Ax + Bx = C

A bikes shop has 11 red bikes, 3 blue bikes, 4 orange bikes, and 12 silver bikes. For every 1 orange bike, there are 3_______

Answers

Answer:

[tex]\huge\boxed{Answer=>silver}[/tex]

Step-by-step explanation:

Information given:

1. 11 red bikes

2. 3 blue bikes

3. 4 orange bikes

4. 12 silver bikes

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

For every 1 orange bike, there are 3 ______

Note: there is 4 orange bikes.

(Denominator will be 4 since 4 orange bikes)

Red: [tex]11/4[/tex]

Blue: [tex]3/4[/tex]

(Don’t include orange)

Silver: [tex]12/4[/tex] (which equals 3)

We can’t divide any of the fractions accept for silver.

So the answer is silver. Hope this helps! ✨by: RobloxYt ✨


A retailer allowed 4%. discount on her his
goods to make 20 %profit and sold a refrigerator
for Rs.10848 with 13%. VAT . By how much
is the discount percent to be increased so that
she lhe gained only 15 % profit ?​

Answers

Answer:

8%

Step-by-step explanation:

Let the cost price of the goods be $y. Let us assume the selling price of the goods is $x. The retailer sold at 4% discount, this means it was sold for 0.96x (100% - 4% = 96%). Since the goods was sold to make 20% profit, therefore it was sold for 1.2y (100% + 20% = 120%).

The refrigerator was sold at 13% VAT at Rs. 10848:

1.2y + 13%(1.2y) = 10848

1.2y + 0.13(1.2y) = 10848

1.2y + 0.156y = 10848

1.356y = 10848

y = 8000

The cost price is Rs 8000.

The selling price is:

0.96x = 1.2y

0.96x = 1.2(8000)

x = 10000

The selling price is Rs. 10000

For a profit of 15%, that is 1.15(8000) = 9200, the discount is:

(1 - discount)10000 = 9200

1 - discount = 0.92

Discount = 1 - 0.92 = 0.08

Discount = 8%

3x + 4y = 14 x = 2y - 12 Which point satisfies both equations? A) (-2,-2) B) (-2,5) C) (-4,4) D) (2,2)

Answers

Answer:

  B)  (-2, 5)

Step-by-step explanation:

Perhaps easiest is to try the points to see what works. You can also graph the equations or solve by any of several other means.

Trying the points

  A) 3(-2)+4(-2) = -6 -8 = -14 ≠ 14

  B) 3(-2) +4(5) = -6 +20 = 14; -2 = 2(5) -12 = 10 -12 . . . . true

  C) 3(-4) +4(4) = -12 +16 = 4 ≠ 14

  D) 3(2) +4(2) = 6 +8 = 14; 2(2) -12 = -8 ≠ -2

__

Choice B ( -2, 5) is the only point that works in both equations.

Answer:

x = -2

y = 5

then:

B) (-2,5)

Step-by-step explanation:

3x + 4y = 14

x = 2y - 12

from te firs equation:

3x = 14 - 4y

x = (14-4y)/3

then:

2y - 12 = (14-4y)/3

3(2y-12) = 14 - 4y

3*2y + 3*-12 = 14 - 4y

6y - 36 = -4y + 14

6y + 4y = 14 + 36

10y = 50

y = 50/10

y = 5

from the second equation:

x = 2y - 12

x = 2*5 - 12

x = 10 - 12

x = -2

Check:

from the first equatión:

3x + 4y = 14

3*-2 + 4*5 = 14

-6 + 20 = 14

if your ans is correct i will choose you as a brainlist when the number of student of a school was increased by 30% it became 455. Find the previous number student.

Answers

Step-by-step explanation:

find 30% of 455

which is = 136.5

then subtract 136.5 from the original number(455)

455 - 136.5

=318.5 student

Previous number student was 350

Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the dot plots to choose the true statement.

Answers

Answer:

The second week had 10 more golfers than the first week.

Step-by-step explanation:

The graph clearly shows that the second week golfer are more than the first week. The median for week 2 is greater than the median of week 1. The graph of week 2 shows that number of golfers had increased and their age is between 60 to 80 years of age. The median of week 2 is 79 where as median of week 1 is 75.

pls help with sum geometry

Answers

YES! quite easily.

I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal

and then there's a pair of vertically opposite angle at centre.

that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA

Answer:

[tex]\Large \boxed{\mathrm{D}}[/tex]

Step-by-step explanation:

The triangles can be proven by AA or Angle-Angle similarity.

[tex]\angle QUR \cong \angle TUS[/tex]

The vertical angles are congruent.

[tex]\angle R \cong \angle S[/tex]

The alternate interior angles are congruent.

If 2/3 inch on a map corresponds to an actual distance of 9 miles, what distance on the map will represent 21 miles?

Answers

Answer:

14/9 inches, or an inch and 5/9 of an inch.

Step-by-step explanation:

If 2/3 inch is the same as 9 miles, then x inches represents 21 miles. We can then set up a proportion.

[tex]\frac{\frac{2}{3} }{9} =\frac{x}{21}[/tex]

9 * x = (2/3) * 21

9x = 2 * 7

9x = 14

x = 14/9 inches.

Hope this helps!

Answer:

1 5/9 ich represent 21 miles

Step-by-step explanation:

Proportions:

2/3  inch  ⇔   9 miles

M  inch   ⇔    21 miles

M = 21*(2/3) / 9

M = 14/9

14/9 = 9/9 + 5/9 = 1 + 5/9 = 1 5/9 inch

Find the coefficient of third term of (2x−1)^6.

Answers

240

using pascals trianle

for the power 6 it is

1, 6,15,20, 15,6, 1

and for the third term (2x)^4 and (-1)^2

[tex]15 \times {(2x)}^{4} \times {( - 1)}^{2} [/tex]

[tex]240 {x}^{4} [/tex]

Since only the coefficient is needed

the answer is 240.

The required coefficient of third term is 480.


Coefficient of the third term of (2x−1)^6 to be determine.

What is coefficient?

Coefficient is defined as the integer present adjacent to the variable.

Here,  (2x−1)^6
Using binomial expansion,
Third term = P(6,2)(2x)^6-2(-1)^2
                  =   6*5*16x^4
                  = 480x^4

Thus, the required coefficient of third term is 480.


Learn more about coefficient here:

https://brainly.com/question/2507029

#SPJ2

Mother wants to divide $36 between her daughters Ava and Charlotte in the ratio of their ages. If Ava is 15 years old and Charlotte is 12 years old, find how much Ava and Charlotte will get.

Answers

Answer:

Ava's share = $20

Charlotte's share = $16

Step-by-step explanation:

15x + 12x = 36 : multiply each girl's age by same amount and adding gives $36

27x = 36 : add x terms

x = 36 / 27 : divide both sides of equation by 27

x = 4 / 3

Ava's share = 15x = 15 * 4/3 = 20

Charlotte's share = 12x = 12 * 4/3 = 16

find the interquartile range for the data {5, 7, 9, 5, 6, 6, 6, 11, 11, 3, 3}

Answers

Answer:

4

Step-by-step explanation:

i dont really know how to explain i used an algebra calculator

the slope of a line parallel to the given line 8x-2y=5

Answers

Answer:

4x

Step-by-step explanation:

8x-2y=5

8x=2y+5

8x-5=2y

4x-5/2=y

The slope of the parallel line would be 4x because the slope doesn't change. Hope this helps.

if m+n+p=10 and mn+np+mp=27,find the value of

m square + n square + p square ​

Answers

[tex](a+b+c)^2=a^2+b^2+c^2+2ab+2ac+2bc\\a^2+b^2+c^2=(a+b+c)^2-2ab-2ac-2bc\\a^2+b^2+c^2=(a+b+c)^2-2(ab+ac+bc)\\\\m^2+n^2+p^2=10^2-2\cdot 27=100-54=46[/tex]

Find the slope and the y-intercept of the graph of the linear equation.
y=-7x+2
A) slope: - 1 y-intercept: 2
B) slope: 2; y-intercept: -7
C) slope: -7; y-intercept: 2
D) slope: 2; y-intercept: -7

Answers

Answer:

c) Slope;-7;y-intercept:2

Step-by-step explanation:


Match the graph with the correct equation. Please help!

Answers

Answer:

y = -x -2

Step-by-step explanation:

The graph has a slope of -1 and a y-intercept of -2.

The equation is therefore

y = -x -2

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