Wolfrich lived in Portugal and Brazil for a total period of 141414 months in order to learn Portuguese. He learned an average of 130 new words per month when he lived in Portugal and an average of 150 new words per month when he lived in Brazil. In total, he learned 1920 new words. How long did Wolfrich live in Portugal, and how long did he live in Brazil?

Answers

Answer 1

Answer:

The total period should be 14 months and not 141414 months.

Thus answer will be: number of months spent in Brazil is 5 months and he spent 9 months in Portugal.

Step-by-step explanation:

Let the number of months he lived in Portugal be X and the number of months he lived in Brazil be Y: Thus we have:

X  +  Y  = 14 months.

He learned an average of 130 new words per month when he lived in Portugal: 130 x number of months (X) = 130X

and an average of 150 new words per month when he lived in Brazil: 150 x number of months in Brazil (Y) = 150Y.

Thus we have 130X + 150Y  = 1920

Since X  +  Y = 14: make X subject of formula: X = 14 - Y. then substitute this for X in the equation below

130X + 150Y  = 1920

130(14-Y) + 150Y = 1920

1820 - 130Y + 150Y = 1920

150Y - 130Y = 1920 - 1820

 20Y = 100

    Y = 100/ 20 = 5 months

Thus number of months spent in Brazil is 5 months. To find the number of months spent in portugal, use the first equation:

    X  +  Y = 14 where Y is 5

   X = 14 - 5 = 9 months. Thus he spent 9 months in Portugal


Related Questions

The science of correct reasoning is called

Answers

Answer:

Logic

Step-by-step explanation:

Logic. the study of correct reasoning. Socratic method. question-and-answer dialogue in which propositions are methodically scrutinized to uncover the truth.

Answer:

logic

Step-by-step explanation:

Tony need 16 inch long pieces of gold chain to make each 3 necklaces. He has a peice of chain that is 4 1/2 long. How much chain will he have left after making the necklaces

Answers

Answer: 6 inches of chain will he have left after making the necklaces

Step-by-step explanation:

There is a missing information. The correct question is:

Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 1/2 feet long. How much chain will he have left after making the necklaces.

Solution

We would convert 4.5 feet to inches

1 foot = 12 inches

4.5 feet = 4.5 × 12 = 54 inches

Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. It means that the number of the 16 inches pieces of gold chain that can be gotten to make each of 3 necklaces necklaces is 16 × 3 = 48

The length of chain left chain that will he have left after making the necklaces is

54 - 48 = 6 inches

i need to know the answer

Answers

because of complementary angles, 39° is the answer

Solution:

X= 39 degree.

[being alternate angles]

Alternate angles are always equal

Hope it will help you

hurry i need it in 5 mins pls
What is the radius of a hemisphere with a volume of 86784{ cm}^3 to the nearest tenth of a centimeter?

Answers

Answer: 34.6 cm

Step-by-step explanation:

delta math

The radius of the hemisphere with a volume 86784cm³ as described is; 27.5cm

What is the radius of the hemisphere?

It follows from quantity measurements of solid shapes that the Volume of a sphere is given by the formula;

V = 4/3(πr³)

On this note, upon substitution;

86784 = (4/3) (3.14r³)

Hence, r³ = (86784 ×3)/(4 ×3.14)

r³ = 20728.7

r = ³√2.728.7

r = 27.5cm

Read more on radius of a hemisphere;

https://brainly.com/question/15514243

Easiest question in the world

Topic: Multiplying and dividing fractions
Provide steps


Focus on question 21

Answers

Answer:

I believe the answer is 7 and a half days

Step-by-step explanation:

15* [tex]\frac{1}{2}[/tex]= 7.5

If you take the 15 and multiply it by the [tex]\frac{1}{2}[/tex] you will get 7.5. Even if you divide the 15 by

Apologies if this is wrong. But I think this is the answer.

Hope I could help :)

Answer:

30 days

Step-by-step explanation:

1 day : ½

x days : 15

x/15 = 1/½

x/15 = 2

x = 30

Order the numbers from least to greatest
1/4
π
Square root symbol-19 , -5 , 2.5

Answers

Answer:

13) -5, 1/4, [tex]\pi[/tex], [tex]\sqrt{19}[/tex]

14) -[tex]\sqrt{11}[/tex], -2, 0, 2 1/2

Why is it that people are fake? Need answer ASAP will mark brainlist

Answers

they will get a crown

Answer:

They feel like they are superior to you, and think that you won't find out that they are bein fake.

Step-by-step explanation:

It's either that or they just want people to like them, so they become fake in order to fit into society.

Write the equation of the circle graphed
below.

Answers

Answer:

(x-1)^2+(y-2)^2=6.25

Step-by-step explanation:

Origin: (1, 2)

Radius: 2 1/2

(x-1)^2+(y-2)^2=2.5^2

(x-1)^2+(y-2)^2=6.25

Answer: ( x - 1 )^2 + ( y - 2 )^2 = 6.25

Step-by-step explanation:

A cylinder has a height of 9 cm and a radius of 10 cm. What is the surface area of the
cylinder in terms of r?
380 cm
2007 cm
0342 cm
280 cm
Please HELPPPP

Answers

Answer:

Step-by-step explanation:

Each brick is 13 inches long,5 inches wide,and 4 inches tall.of they used 11,700in3 of concrete how many Bricks did they make.

Answers

Answer:

45 bricks

Step-by-step explanation:

- With the knowledge of the 11,700 in^3 being used. We would need to have the measurements of the brick in that form as well. So in order to find the volume, we must multiply all sides. (13*5*4) = 260 in^3

- Now we have both numbers, we can just divide 11,700 by 260. This will give us 45. Meaning that 45 bricks are made.

Juliet is standing on the balcony 44 above the ground. She is looking at Romeo at an angle of depression of 6 degrees. if both star-crossed lovers were holding the end of a strong, what would the length of the string be?

Answers

Answer:

length of string  ≈ 421  units (nearest whole number)

Step-by-step explanation:

Juliet is standing on the balcony 44 above the ground . The angle of depression is 6°. A string was held between Juliet and Romeo.

The illustration forms a right angle triangle. The hypotenuse of the triangle is the length of the string held by both star crossed lovers. The opposite side of the triangle is given as 44. Therefore,

using sin ratio

sin 6° = opposite/hypotenuse

sin 6° = 44/length of string

cross multiply

length of string sin 6° = 44

divide both sides by sin 6°

length of string = 44/sin 6°

length of string = 44/0.10452846326

length of string = 420.937978274

length of string  ≈ 421 units(nearest whole number)

WHAT IS THE CIRCUMFERENCE OF A TRIANGLE

Answers

triangle does not have a circumference, a circle has a


circumference. A triangle only has a hypotenuse (Pythagoras sort of

stuff). The circumference of a circle is the perimeter of it, so,

          Finding the Perimeter When Three Side Lengths are Known. Remember the formula for finding the perimeter of a triangle. For a triangle with sides a, b and c, the perimeter P is defined as: P = a + b + c.

                                                 |

NOTE~ idk ab the top ∧ but bottom ∨ im sure.

                         |

What is the Circumradius of a triangle?

    Circumradius. The circumradius of a cyclic polygon is the radius of the circumscribed circle of that polygon. For a triangle, it is the measure of the radius of the circle that circumscribes the triangle. Since every triangle is cyclic, every triangle has a circumscribed circle, or a circumcircle.

Referring to the table below, What is the probability of a student in the marching band being either female or a senior?​

Answers

Answer:

a.

Step-by-step explanation:

P(F or S) = P(F) + P(S) - P(F & S)

= 0.46 + 0.22 - 0.12

= 0.56

ANSWER SOON PLS!!!!!
Which of the following is a false statement?
A
The numbers we use today came from Arabic numerals.

B
Muslim doctors knew about hygiene and blood circulation.

C
There were no mosques on the African continent.

D
Muslim scientists developed a device that allowed sailors to navigate by the stars.

Answers

A because the Arabic’s creates the nunber syste

Answer:

The answer is C There were no mosques on the African continent.  

Step-by-step explanation:

The equation y minus 3 = negative 2 (x + 5) is written in point-slope form. What is the y-intercept of the line?
–13
–7
2
8

Answers

Answer:

(B)

Step-by-step explanation:

We have the equation:

[tex]y-3=-2(x+5)[/tex]

Convert into Slope Intercept Form:

[tex]y-3=-2(x+5)[/tex]

[tex]-2*x=-2x\\-2*5 = -10[/tex]

[tex]y-3=-2x-10[/tex]

[tex]y-3+3=-2x-10+3\\\boxed {y=-2x-7}[/tex]

Slope-intercept form is [tex]y=mx+b[/tex].

Since '-7' is in the 'b spot', the y-intercept of the line would be -7, or option B.

Option B should be the correct answer.

Answer:

y intercept is -7

Step-by-step explanation:

y - 3 = -2 (x+5)

This is point slope form

We want to get this to slope intercept form

y=mx+b  where m is the slope and b is the y intercept

Distribute

y-3 = -2x-10

Add 3 to each side

y-3+3 = -2x-10+3

y = -2x-7

The slope is -2 and the y intercept is -7

Leslie found the volume of a cone having both a height and diameter of 12 inches. Her work is shown below.
(attached)
Analyze Leslie’s work. Is she correct? If not, what was her mistake?
Yes, she is correct.
No, the radius is twice the diameter, so she needed to multiply by two instead of dividing.
No, the value of 62 is 6 times 2, or 12.
No, she forgot to take one-third of the base area times height.

Answers

The answer is D! (I think we have the same curriculum lol)

Answer:

d

Step-by-step explanation:

What are the solutions to the equation x2 - 8x = 10

Answers

Answer:

x = 4 ±√26

Step-by-step explanation:

Please write this as x^2 - 8x = 10, or x^2 - 8x - 10 = 0.  " ^ " indicates exponentiation.

Let's complete the square:

x^2 - 8 x can be rewritten as

x^2 - 8x + 16 - 16, and so

x^2 - 8x = 10 becomes x^2 - 8x + 16 - 16 - 10 = 0, or

                                         (x - 4)^2 = 26

Taking the square root of both sides, we get:

x - 4 = ±√26, or

x = 4 ±√26

Find m angle d for m angle b = 65
The figure is not drawn to scale

Answers

Answer:

Denote O as center of circle, draw OA, OC.

As property of tangent line from outside of circle (angle OAD = angle OCD = 90 deg):

=> AOC + D = 180

Moreover, angle  AOC = 2 x angle B = 2 x 65 = 130

=> D = 180 - 130 = 50 deg

Hope this helps!

:)

The measure of the angle d for m angle b = 65 in the figure of circle and quadrilateral is 50 degrees. Option A is correct.

What is a measure of angle?

The measure of angle between the two points of a ray or line is the measure of rotation between these two points. The angles are measured in degrees or radians.  

The figure given in the problem contained a circle and a quadrilateral.

In this figure, the measure of the angle b is,

[tex]m\angle d =65^o[/tex]

Here, the two tangent lines AD and DC cuts the circle at point A and C respectively.

Let the center of the circle is O. Thus the angle b is equal to the angle AOC by the tangent line theorem as,

[tex]\angle O =2m\angle b=130 ^o[/tex]

The sum of angle AOC and the angle D is equal to 180 degrees. Therefore,

[tex]\angle AOC+m\angle d=180\\130++m\angle d=180\\m\angle d=180-130\\m\angle d=50^o[/tex]

Hence, the measure of the angle d for m angle b = 65 in the figure of circle and quadrilateral is 50 degrees. Option A is correct.

Learn more about the measure of angle here;

https://brainly.com/question/25716982

The rectangle below has an area of x^2-7x+10square meters and a width of x - 5 meters. What expression represents the length of the rectangle below? length=_____ meters.

Answers

Answer:

L = (x - 2) meters

Step-by-step explanation:

The area of the rectangle = (x² - 7x + 10) m²

The width = (x - 5) m

length = ?

Area of a rectangle = length × width

x² - 7x + 10 = L(x -5)

note L = length

divide both sides by (x-5)

(x² - 7x + 10)/(x - 5) = L

L = x² - 7x + 10 / (x -5)

Factorize x² - 7x + 10

find the numbers you can multiply to give you 10 and also add to give you -7

The numbers are -2 and -5. Therefore,

x² - 2x - 5x + 10 = 0

x(x - 2) - 5(x - 2) = 0

(x-5)(x-2) = 0

Let us go back to our division

L = x² - 7x + 10 / (x -5)

x² - 7x + 10 = (x-5)(x-2)

L = (x-5)(x-2) / (x -5)

L = (x - 2) meters

the quotient of a number and 3 is 8

Answers

Answer:

The number is 24

Step-by-step explanation:

The quotient is the answer of a division problem. If a number is divided by 3 and the answer is 8, then the number would be 24. You could set it up into an  equation.

x/3=8

then you multiply both sides by 3 and you will get

x=24

The quotient is indeed the number generated by dividing one integer by the other. Whenever a fraction is simplified, the division is the whole amount that results.

The quotient is the solution to a division issue. Whenever a number is divided by three and the answer is eight, the amount is twenty-four.

Calculation of the equation:

[tex]\to \bold{\frac{x}{3}=8}\\\\\to \bold{x=8\times 3} \\\\\to \bold{x=24}[/tex]

Therefore, the final answer is "24".

Learn more:

brainly.com/question/17331426

Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.

Answers

Answer:

Length of x ⇒ ( About ) 11.5; Option C

Step-by-step explanation:

~ Let us plan this question step-by-step. We know that the line segment with length 13.1 is a radii to the circle, as well as a hypotenuse to a right triangle. Respectively the hypotenuse of another triangle is a hypotenuse as well. By radii ≅, these two part of these two triangles are ≅ ~

1. If these two parts are ≅, the triangle with leg x has a hypotenuse of 13.1 as well ( through ≅ ). This would mean that Pythagorean theorem is applicable for this triangle, as to solve for line segment x.

2. By Pythagorean Theorem ⇒

6.2^2 + x^2 = 13.1^2,

38.44 + x^2 = 171.61,

x^2 = 133.17

Length of x ⇒ ( About ) 11.5

Find the median of the data set: 27, 88, 41, 80, 60, 13, 74, 33, 80, 91, 80.

Answers

Answer:

80

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

To find the median, you must order all of the numbers from least to greatest.            Least to greatest: 13, 27, 33, 41, 60, 74, 80, 80, 80, 88, 91       Then, you must find the middle number in that set.

13, 27, 33, 41, 60, 74, 80, 80, 80, 88, 91

So, in conclusion, the median is 74.

Find the 96th term of the arithmetic sequence
-3, -14, -25, ...

Answers

Answer:

-1059

Step-by-step explanation:

Katelyn, this is super easy to understand.

Anyways, to find the 96th term of the sequence, first subtract -14 and -3. You may be thinking it is -17, but it is not. -17 is only if you are subtracting -14 and 3.

(-14) - (-3) = -14 + 3 = -11.

That means the difference between each number is -11.

Now all you have to do is take the -11 and multiply it by 96, which is -1056. Then, add the -1056 to -3, which is -1059. That should be your answer.

Your school may have taught you a different way, but this is my way.


Whoever answers this NOW will get brainliest

Answers

Answer:

I think is -x + 105/42y

Step-by-step explanation:

2(3/10)x - 5/7y - 4(5/6)y - 2(4/5)x

6/10x - 5/7y - 20/6y - 8/5x

6/10x - 8/5x - 5/7y - 20/6y

6-16/10x - 35+140/42y

-10/10x + 105/42y

-x + 105/42y

what is 80=-20b? plz help

Answers

Answer:

b=-4

Step-by-step explanation:

80=-20b

If you divide -20 from both sides, you get -4=b. That's the answer.

PLZ MARK BRAINLIEST!!!

Answer:

-4

Step-by-step explanation:

80= - 20b

divide both by -20

that gives us -4=b

so, b= -4

Have a great day

What is the area of the shaded region

Answers

Answer:

397.16

Step-by-step explanation:

Area of a circle: (3.14)r^2

(3.14)(12)^2

(3.14)(144)

=452.16

452.16-(11*5)

452.16-55

=397.16

Last summer, 54,849 people went on a vacation. This year it is expected that an additional 9,499 people will take a summer vacation. How many people will be taking a summer vacation in all?

Answers

Answer:64,348

Step-by-step explanation:

please make brainliest

CAN SOMEONE PLEASE HELP ME???

Answers

Answer:T


Step by Step explanation

Answer:

F

Step-by-step explanation:

You need to know the number of people to calculate the amount of dishes

Line N passes through the points (-1,4) and (-1,-4)Which is true of line N?

Answers

Answer:

Line N is a vertical line with an undefined slope

Step-by-step explanation:

To find slope we do (y2-y1)/(x2-x1)

So we do that with (-1,4) and (-1,-4)

(-4-4)/(-1-(-1))

-8/0

Since the denominator is 0, that means the slope is undefined because you cannot divide by 0

The value of a car is $23,000. It loses 11% of its value every year. Find the approximate monthly decrease in value. Round your answer to the nearest tenth.

Answers

Answer:

$210.8 monthly.

Step-by-step explanation:

There are two ways to do this. You can either find out what 11% of $23,000 is by multiplying .11 by $23,000, then subtract this from $23,000 to find the yearly increase, where you can then divide by 12, or you can divide .11 by 12 and then multiply this by $23,000. I did the former and got $210.8 as an answer.

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