Jessica lived in Spain and Colombia for a total of 18 months in order to learn Spanish.She learned an average of 160 words per month when she lived in Spain, and an average of 200 per month when she lived in Colombia. In total, she heard 3200 new words. How long did Jessica live in Spain, and how long did she live in Colombia?

Answers

Answer 1

Answer:

Jessica lived 10 months in Spain and 8 months in Colombia.

Step-by-step explanation:

Let x be the months Jessica spent in Spain, and y the months she spent in Colombia:

   1. x + y = 18

Using the information of words per month learned in each country, we can also write the equation:

    2. 160 * x + 200 * y = 3200

So now we have a system of two equations and two unknowns.

First we express y in terms of x, in the first equation:

x + y = 18y = 18 - x

We replace y in the second equation:

160 * x + 200 * (18 - x) = 3200

And solve for x:

160x + 3600 - 200x = 3200-40 x = -400x = 10

Finally we use that value of x in the first equation and solve for y:

10 + y = 18y = 8

Jessica lived 10 months in Spain and 8 months in Colombia.


Related Questions

please help me with this problem

Answers

Answer:

Step-by-step explanation:

Givens

The midpoint formula is (x2 + x1)/2 , (y2 + y1)/2 = x_mid,y_mid

y_mid = 1

x_mid = -1

y2= 4

x2 = 2

Solution

(2 + x1)/2 = -1

(2 + x1) = -1 * 2

2 + x1 = -2

x1 = -2 -2

x1 = - 4

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

(4 + y1)/2 = 1

4 + y1 = 2

y1 = 2 - 4

y1 = -2

Answer (-4,-2)

One-eighth of the students in the seventh grade are in the school band. There are 44 students in the school band. Find the number of students in the seventh grade.

Answers

Answer: the correct answer is 5.5 students, but their cannot be one half of a student

Step-by-step explanation:

An inequality is shown: 5 over 4 r less or equal than negative 15 Which of the following values are solutions to this inequality? Select ALL that apply. Group of answer choices r equals negative 5 r equals negative 4 r equals negative 12 r equals negative 15 r equals negative 20

Answers

Answer:

r equals negative 12

Step-by-step explanation:

Question 2
The area of a square is 60 square inches. Which equation best represents the length of one side of the square?

Answers

Answer:

The square root of 60

Answer:

pretty sure 15

Step-by-step explanation:

a square is four sides and then you would divide by 4 to get 15.

So if the greatest common factor is 6, what would be the result of factoring 12n-18?

Answers

6(2n-3)
Hope this helps!

Can you help me understand front end and clusters when u round​

Answers

Answer:

I really hope this help! Some may call it front end rounding while others call is front end estimating, even though they mean the same thing. When rounding a place value, you need to look to the number to the right of it. Example: Most often a teacher may as you round the number 452 to the nearest ten’s. That number will than be 450. But why? Well as we look at the number, we know we need to round to the nearest ten. So in our case it would be 52. Our rule to remember when rounding is 5 and higher we round-up. Since we are looking at the portion of the number 52, we go right of the tens place to find the number 2. Since the number 2 is not 5 or higher, we round down making it 50. Don’t forget to finish the problem by adding the hundreds back to the original number. Your answer for this problem is 450.

Step-by-step explanation: I really hope this helps i will post the rest in the comment!

ordered pairs in which of these formats do not have to represent a function? (Length of side of a square,perimeter of square)​

Answers

Answer:

perimeter of square

Step-by-step explanation:

Answer: the answer is base of triangle, height of triangle

got it wrong because of that other guy answers was wrong

what is 6 1/8 as a decimal?

Answers

Answer:

6.125

Step-by-step explanation:

1/8 is half of 1/4.

1/4 is 0.25

0.25 / 2 = 0.125

6 + 0.125 = 6.125

The mixed fraction 6 1/8 as a decimal form is 6.125.

The correct option is C.

To convert the mixed number 6 1/8 to a decimal, you can follow these steps:

Step 1: Multiply the whole number (6) by the denominator (8): 6 × 8 = 48.

Step 2: Add the numerator (1) to the result from step 1: 48 + 1 = 49.

Step 3: Write the sum from step 2 as the numerator over the original denominator: 49/8.

Step 4: Divide the numerator (49) by the denominator (8): 49 ÷ 8 = 6.125.

Therefore, 6 1/8 as a decimal is 6.125.

The decimal form of a mixed number represents the sum of the whole number and the fraction converted to decimal form. In this case, 6 represents the whole number part, and 1/8 represents the fraction part. By performing the division, you find that the fraction 1/8 is equivalent to the decimal 0.125. Adding this decimal to the whole number 6 gives the final result of 6.125.

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(7-b)+(3b+2) find the sum

Answers

Answer:

9+2b

Step-by-step explanation:

add like terms

What are the coordinates of point H? On a coordinate plane, point H is 1.5 units to the left and 3 units up. (Negative 3, 1 and one-half) (Negative 1 and one-half, 3) (1 and one-half, 3) (3, negative 1 and one-half)

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(Negative 1 and one-half, 3)

what is 0.19/0.2 as a decimal

Answers

Answer:

There's 3 total decimal places in both numbers.

Ignore the decimal places and complete the multiplication as if operating on two integers.

   1 9

×     2

+   3 8

=  3 8    Rewrite the product with 3 total decimal places.

Answer = 0.038

Therefore:

0.19 × 0.2 = 0.038

Step-by-step explanation:

What is the slope of the line? -3x+5y=2x+3y

Answers

Answer: 5/2

Step-by-step explanation:

Answer:

5/2

Step-by-step explanation:

for khan

If f(x) = x/2=-3 and g(x)=3x^2+x-6,find (f+g)(x)

Answers

(f+g)(x) is 3x^2 + 3x/2 - 9


(f+g)(x)=f(x)+g(x)=x/2-3+3x^2+x-6= 3x^2 + 3x/2- 9

PLEASE HELP ME I WILL MARK BRAINLYEST

Answers

                               Question 9:

Given the equations

[tex]5x+2y=6;[/tex]

[tex]4x-8y=0[/tex]

solving the system of the equations

[tex]\begin{bmatrix}5x+2y=6\\ 4x-8y=0\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}5x+2y=6\mathrm{\:by\:}4\:\mathrm{:}\:\quad \:20x+8y=24[/tex]

[tex]\mathrm{Multiply\:}4x-8y=0\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:20x-40y=0[/tex]

[tex]\begin{bmatrix}20x+8y=24\\ 20x-40y=0\end{bmatrix}[/tex]

[tex]20x-40y=0[/tex]

[tex]-[/tex]

[tex]\underline{20x+8y=24}[/tex]

[tex]-48y=-24[/tex]

[tex]\begin{bmatrix}20x+8y=24\\ -48y=-24\end{bmatrix}[/tex]

[tex]-48y=-24[/tex]

[tex]\frac{-48y}{-48}=\frac{-24}{-48}[/tex]

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

[tex]y = 0.5[/tex] ( 0.5 is the result of rounding 0.5 to the nearest 0.01)

[tex]\mathrm{For\:}20x+8y=24\mathrm{\:plug\:in\:}y=\frac{1}{2}[/tex]

[tex]20x+8\cdot \frac{1}{2}=24[/tex]

[tex]20x+4=24[/tex]

[tex]\frac{20x}{20}=\frac{20}{20}[/tex]

[tex]x=1.00[/tex] ( 1.00 is the result of rounding 1 to the nearest 0.01 )

So, the solution is:

(x, y) → (1.00, 0.5)

                            Question 10)

Similarly the question 10 can be solved.

Given the equations

[tex]5x+2y=9;\:4x-3y=44[/tex]

solving

[tex]\begin{bmatrix}5x+2y=9\\ 4x-3y=44\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}5x+2y=9\mathrm{\:by\:}4\:\mathrm{:}\:\quad \:20x+8y=36[/tex]

[tex]\mathrm{Multiply\:}4x-3y=44\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:20x-15y=220[/tex]

[tex]\begin{bmatrix}20x+8y=36\\ 20x-15y=220\end{bmatrix}[/tex]

[tex]20x-15y=220[/tex]

[tex]-[/tex]

[tex]\underline{20x+8y=36}[/tex]

[tex]-23y=184[/tex]

[tex]\begin{bmatrix}20x+8y=36\\ -23y=184\end{bmatrix}[/tex]

[tex]-23y=184[/tex]

[tex]y=-8.00[/tex]   ( -8.00 Rounded to the nearest 0.01 or  the Hundredths Place )

[tex]\mathrm{For\:}20x+8y=36\mathrm{\:plug\:in\:}y=-8[/tex]

[tex]20x+8\left(-8\right)=36[/tex]

[tex]20x=100[/tex]

[tex]x=5.00[/tex]  ( 5.00 Rounded to the nearest 0.01 or  the Hundredths Place )

So, the solution is:

(x, y) → (5.00, -8.00)

PLz help me answer this

Answers

Answer is D
Merry Christmas

please help me with this ​

Answers

Answer:

D

Step-by-step explanation:

I need help too this is hard

Are the ratios 4:6 and 6:9 equivalent?

Answers

Answer: No

Step-by-step explanation:

Yes, the two ratios 4:6 and 6:9 are equal to 2:3.

What is a ratio?

A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

Given that there are two ratios 4:6 and 6:9. The equivalence of the two ratios will be calculated as:-

4 : 6 = ( 2 x 2 ) ÷ ( 2 x 3 )

4 : 6 = 2 : 3

6:9 = ( 2 x 3 ) ÷ ( 3 x 3 )

6: 9 = 2 : 3

4 : 6 = 6:9 = 2:3

Therefore, the two ratios 4:6 and 6:9 are equal to 2:3.

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Plz help I really need help

Answers

Answer:

need help with what just text me and I will help you because this looks easy

Step-by-step explanation:

imma help u

At East Junior High School, there are a total of 1175 students in the 7th and 8th
grade classes combined. The 8th-grade class has 75 more students than the 7th-grade class.
A. Let x represent the number of students in the 7th-grade class, while y
represents the number of students in the 8th-grade class. Write a system
to model this situation.
B. Solve the system to determine the number of students in the 7th-grade
class and the number of students in the 8th-grade class.
# of 7th graders = _____ # of 8th graders = _____

Answers

Answer:

7th grade has 1100 and 8th has 75

Step-by-step explanation:

here's why...........1100 plus 75 is the total of 1175

5x + 4 + x + x to the 2nd power + 1
Please Solve! I will give brainliest to whoever can solve!!!

Answers

Answer:

X^2+6x+5

Step-by-step explanation

John brought 4 sodas at the theater if each soda cost $2.25 and he paid with a twenty dollar bill how much change should he get back

Answers

Answer:

11 dollars.

Step-by-step explanation:

Answer:

$11

Step-by-step explanation:

4 multiplied by 2.25 equals $9 therefore he would get $11 back because 9+11=20

<3 Enjoy,

    Dea

What is t?
12t - 8t = -52

Answers

Answer: t=13

Step-by-step explanation:

Answer:

t=-13

Step-by-step explanation:

First solve:

12t -8t =4t

4t=-52

Next you must reduce both sides:

2t= -26

t=-13

Evaluate the expression when a =3 and c= 12.
I need help

Answers

Answer:

Step-by-step explanation:

What is the equation?

You need to replace all A with 3 and all c with 12. If I had the equation, I'd be glad to help further.

For the given values a=3 and c=12 the required expression is 4a-c=0.

What is an equation?

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

Given that,

The value of a = 3         (1)

And the value of c = 12       (2)

To determine the expression,

divide equation (1) and equation (2),

a/c = (3/12)

⇒a/c = 1/4

⇒4a=c

⇒4a-c = 0

The required expression is 4a-c=0.

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Plzzz Write an equation in slope intercept form:y=Mx+b

Answers

Answer:

Y= -x + 6

Step-by-step explanation:

Rise/Run

-1/1 = -1

Y-intercept: 6

Two parallel lines are shown with a transversal, what is the value of x? I​

Answers

Answer:

There's no picture attached

Step-by-step explanation:

True or False?
-2.08 would be just to the right of -2 on the number line.

Answers

It is False because negative as good to the left

Joel spent $28 for an Internet data service
and
pays $14.50 per month. He spent 524 50 to join
an online movie streaming site and bays $13.25
per month. Write an expression to represent
Joel's total cost for both memberships after
m months

Answers

Answer:

28+14.50+524.50+13.25=  580.25

Step-by-step explanation:

Add it all together.

The expression that represents the total cost for both the membership after m months is

552.50 + 27.75m

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Internet service:

Charges = $28

Monthly pay = $14.50

Total cost after m months.

= 28 + 14.50m

Movie streaming:

Joining = $524.50

Monthly charge = $13.25

Total cost after m months.

= 524.50+ 13.25m

The total cost for both memberships after m months.

= 28 + 14.50m + 524.50 + 13.25m

=  552.50 + 27.75m

Thus,

The total cost is 552.50 + 27.75m.

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Mary and Jeff both have jobs at a baseball park selling bags of peanuts. They get paid $12 per game and $1.75 for each bag of peanuts they sell.

How many bags of peanuts does Jeff need to sell to earn at least $68?

Answers

Did you figure out the answer?

Jim will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $ 59 and costs an additional$0.13 per mile driven. The second plan has an initial fee of $46 and costs an additional 0.17 per mile driven.

Answers

Answer:This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:

Plan I: Y=38+0.11X

Plan II: Y=49+0.07X

When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25

Step-by-step explanation:

Val rented a bicycle while she was on vacation she paid a flat rental fee of $55.00 plus $8.50 each day the total cost was $123 write and equation you can use to find the number of days she rented the bicycle ​

Answers

Answer:

55+8.5x=123

Step-by-step explanation:

The 55 represents the flat fee, the 8.5 represents the daily charge, x represents the number of days she rented it for, and 123 is the total amount

55+8.5x=123

Doing the math it adds up to 123 as your answer
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