Marta gasto $60 en la compra de cuadernos iguales si cada cuaderno hubiera costado $2 más Marta hubiera adquirido 80 cuadernos menos por los mismos $60 ¿Cuántos cuadernos compró Marta?

Answer:

The answer is: 3(x+4)

Step-by-step explanation:

Oof

Answer:

The correct option is 2.

Step-by-step explanation:

The given statement is "three times the sum of a number and 4".

We need write the mathematical expression for the given statement.

Let the unknown number be x.

The sign " + " is used for addition and sum.

The sign " × " is used for multiplication, times and product.

Sum of a number and 4 = [tex](x+4)[/tex]

Three times the sum of a number and 4 = [tex]3\times (x+4)=3(x+4)[/tex]

The required expression is 3(x+4). Therefore, the correct option is 2.

Answer:

Dave has been introduced to a new phone service. They charge a monthly fee of $5 and each phone call made out of country is $8. How much phone calls did Dave made out of country if his bill this month was 37?

The equation represents a membership of a gym, where there is a $5 charge for membership and a per month charge of $8 and x represents the number of months when the total charge becomes $37.

To imply the given equation 8x + 5 = 37 in the rel life scenario.

The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.

Here,
Equation 8x + 5 = 37
Let's assume that, we are in the gym and the membership charge of the gym is 5$ and after months the charge becomes $37
And gym charges $8 per month after membership where x represents the number of months when the charge becomes $37.

Thus, the way the equation is implemented in the real-life scenario is shown above.

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10x = 4(2x -9)

10x = 8x - 36

10x - 8x = -36 - 8x

2x = -36

2x ÷ 2 = -36 ÷ 2

x = -18

If you need a better explanation just as in the comments.

Happy to help! Please mark as BRAINLIEST! Thanks

Answer:

29 degrees Celsius are 84.2 Fahrenheit.

Step-by-step explanation:

In order to convert Celsius to Fahrenheit you can use this formula: [tex]F = C * 1.8 + 32[/tex].

Here we have [tex]F = 29 * 1.8 + 32[/tex] which equals 84.2. Instead of 1.8 you can use the fraction [tex]\frac{9}{5}[/tex] if you wish so.

Answer:

[tex]\large\boxed{29^oC=84.2^oF}[/tex]

Step-by-step explanation:

Formula for converting Celsius (C) to Fahrenheit (F):

[tex]F=32+\dfrac{9}{5}C[/tex]

We have C = 29. Substitute:

[tex]F=32+\dfrac{9}{5}(29)=32+\dfrac{261}{5}=32+52.2=84.2[/tex]

F(x)=5x+1

g(x)= 2x+15

5x+1=F(x)

Xx2=(5+1)

x=6x2

x=12

Fx= F12

Answer:  The answer is:  " 45  % "  .    

________________________________________________

               →    " Twenty-seven is 45 % of 60. "

________________________________________________

Step-by-step explanation:

________________________________________________

The question asks:

 " 27 is what % {percentage] of 60 " ?  ;

________________________

So:  " 27 =  (n/100) * 60 " ;  Solve for "n" ;

________________________________________________

Method 1:

________________________________________________

  →   (n/100) * 60 = 27 ;

Divide each side by 60 :

 →   [ (n/100)  * 60 ] / 60 = 27 /60 ;

to get:

 →    (n/100) = 27/60 ;

Now:  Cross-factor multiply:

 →  60n = (27)*(100) ;

to get:

 → 60n = 2700 ;

Divide each side by "60" ;

→  60n = 2700/ 60 ;

to get:  n = 45 ;

________________________

 →  The answer is:  45 % .    

   →  " Twenty-seven is 45 % of 60."

________________________________________________

Method 2:

________________________________________________

The question asks:

 " 27 is what % {percentage] of 60 " ?

________________________

To solve this problem:

Rephrase this question as:

________________________

" 27 is 60% of what number ? "

 →  The answer will be the same!

________________________

→  27 = (60/100)* n ;   Solve for "n" ;

Multiply each side of the equation by "100" ; to eliminate the fraction:

→  100 * 27 = 100 * [ (60/100)* n ] ;

 to get:

   →   2700 = 60n ;

↔  60n = 2700 ;

Divide Each Side of the equation by "60" ;

    →   60n/60 = 2700 / 60 ;

to get:  n = 45 ;

________________________________________________

→  The answer is:  45 % .    

       →  " Twenty-seven is 45 % of 60."

________________________________________________

Method 2:  Variant 1 of 2:

________________________________________________

When we have:

→  27 = (60/100)* n ;   Solve for "n" ;

________________________

Note that:  "(60/100) = (60÷ 100) = (6 ÷ 10)" ;   since:  in "(60/100)" ;  the "zero" from the "numerator" cancels out;  And:  the "last zero" in "100" — from the "denominator" cancels out;  since we are dividing "each side" of the fraction by "10" ;

  →   "(60÷10) / (600÷10)"  =  " 6/10 " ;  

  →   " (6/10)" ; that is;  "six-tenths"} ;  

  →     can be represented by:  " 0.6 " ;

  →  {by convention;  but specifically, here is the explanation} — as follows:

________________________

  →   "(6/10)" =  " (6 ÷ 10) " ;  

Note:  When dividing a number by "10" ;  we take the original number; and move the decimal point to the left; & then we rewrite that number as the "answer".  

Note:  When multiplying or dividing by a positive, non-zero integer factor of "10" that has at least 1 (one) "zero" after that particular factor of "10".  We can get the answer by taking the original number & moving the decimal point the number of spaces as designated by the number of zeros following the particular [aforementioned factor of "10".].

We move the decimal point to the right if we are multiplying;  and to the left  if we are dividing.  In this case, we are dividing "6" by "10 " :

 →  " 6   ÷  10  =  ? " ;  

 →  " 6.  ÷ 10 =  ? " ;

   We take the: " 6. " ;  and move the decimal point "one space backward [i.e. "to the left"];  since we are dividing by "10" ;

 →  to get:  " .6 " ;  & we rewrite this value as "0.6" in a rewritten equation:

________________________

So; we take our equation:

→  27 = (60/100)*n ;  And rewrite—substituting "0.6" for

"(60/100)"— as follows:

________________________

→  27 = (0.6)n ;  ↔ (0.6) n = 27 ;

Multiply each side of the equation by "10" ; to eliminate the decimal:

   →  10 * [ (0.6)n ]  = 27 * 10 ;

to get:

  →  6n = 270 ;

Divide each side of the equation by "6" ; to isolate "n" on one side of the equation; & to solve for "n" ;

 →  6n / 6  =  270 / 6 ;

to get:   n = 45 ;

________________________________________________

→  The answer is:  45 % .    

      →  " Twenty-seven is 45 % of 60."

________________________________________________

Method 2 (variant 2 of 2):

________________________________________________

We have the equation:  27 = (60/100)* n ;   Solve for "n" ;

________________________

Note:  From Method 2 (variant) 1 of 2— see above):

________________________

Note:  Refer to the point at which we have:

________________________

→   " {  (60÷10) / (600÷10)"  =  " (6/10) " ;  that is;  "six-tenths"} ;

________________________

Note that the fraction— "(6/10)" ;  can be further simplified:

→  "(6/10)" =  "(6÷2) / (10÷2)" = "(3/5)" ;

Now, we can rewrite the equation;

→ We replace "(60/100)" ;  with:  "(3/5)" :

    →  27 = (3/5)* n ;   Solve for "n" ;

↔ (3/5)* n = 27 ;  

↔    (3n/5) = 27 ;

Multiply Each Side of the equation by "5" ;

→  5* (3n/5) = 27 * 5 ;  

to get:

→   3n = 135 ;

Divide Each side of the equation by "3" ;  to isolate "n" on one side of the equation;  & to solve for "n" ;

→  3n / 3 = 135 / 3  ;

to get:   n = 45 ;

________________________________________________

 →  The answer is:  45 % .    

       →  " Twenty-seven is 45 % of 60."

________________________________________________

Hope this answer is helpful!

        Wishing you the best in your academic endeavors

           — and within the "Brainly" community!

________________________________________________

Answer and Step-by-step explanation:

[tex]27[/tex] of [tex]60[/tex] is [tex]45[/tex]%

Working out in percentage :

[tex]27[/tex] of [tex]60[/tex] can be written as :

[tex]\frac{27}{60}[/tex]

Multiplying both the numerator and denominator by [tex]100[/tex] :

[tex]\frac{27}{60} *\frac{100}{100}= \frac{45}{100}=45[/tex]%

So the answer to your question is [tex]27[/tex] of [tex]60[/tex] is [tex]45[/tex] %

Answer: 1 and 11/12

Step-by-step explanation: (4 1/4) - (7/3)= 4 3/12- 2 4/12=1 and 11/12

Answer:

Step-by-step explanation:

2/3 = 6/9 because to get to nine from three you need to multiply by three so you multiply the 2 by three to and you get 6 so the answer is 6/9

2/3 written as a sum of unit fractions with the denominator of nine is 6/9.

Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.

The given fraction is 2/3.

2/3 written as a sum of unit fractions with the denominator of nine

Now, multiply both numerator and denominator by 3

2×3/3×3

= 6/9

Therefore, 2/3 written as a sum of unit fractions with the denominator of nine is 6/9.

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Answer: C

Step-by-step explanation:

2x3= 6

55 x -4=  -220

6 + -220= -214

Answer:

Step-by-step explanation:

The red marble is farthest from the target.

Answer: 4.5 would be closer

Step-by-step explanation: 4.4x4.4 is 19.36 which is about 64 points away and 4.5x4.5 is 20.25 which is 25 points away

Answer:

4.5

Step-by-step explanation:

Nearest of square root of 20

[tex]\sqrt{20}[/tex]

To choose closer from two numbers 4.4 or 4.5

First we find the square of both number.

Square of 4.4

[tex]4.4^2 = 19.36[/tex]

Square of 4.5

[tex]4.5^2=20.25[/tex]

Now compare the closer number from 20

Difference of,  20.25 - 20 = 0.25

Difference of, 20-19.36 = 0.64

As we know, 0.25<0.64

Hence, On number line square root closer to 4.5

Hey!

----------------------------------------------------

Solution:

2x - 3|x + 1| = -2x - 11​

2x - 3|x + 1| + (-2x) = -2x - 11​ + (-2x)

-3|x + 1| = -4x - 11

-3|x + 1|/-3 = -4x - 11/-3

|x + 1| = 4/3x + 11/3

x + 1 = -(4/3x + 11/3)

x + 1 + 4/3x = 4/3 + -11/3 + 4/3x

7/3x + 1 = -11/3

7/3x + 1 - 1 = -11/3 - 1

7/3x = -14/3

7/3x * 3/7 = -14/3 * 3/7

x = -2

----------------------------------------------------

Check:

2(-2) - 3|-2 + 1| = -2(-2) - 11

(-4) - 3|-1| = (4) - 11

(-4) - 3 = (4) - 11

-7 = -7

----------------------------------------------------

Answer:

x = -2

----------------------------------------------------

Hope This Helped! Good Luck!

Answer:

B.

x-axis scale, 0–30; label, Months

Y-axis scale, 0–9,000; label, Total Remaining Debt ($)

Step-by-step explanation:

According to given data

Debt = $8950

Monthly payment = $360

Now we can calculate the total period required to eliminate the debt

Total months to eliminate debt = Total Debt/Monthly installment

Total months to eliminate debt = 8950/360

Total months to eliminate debt = 24.8 months

Now, by this calculate, we can say that it is only logical to plot time in graph with months, not years or days. Because if we plot graph with days, it will be too lengthy, on the other hand, if we plot graph with years, it will shrink to much and it will become very difficult to read it and estimate the progress. So all options with time in other than month will be eliminated and we will be left with option B. Notice that option a will be eliminated because we need to plot graph for 24.8 months but it contains 9000 months, which means 750 years. So it will be illogical to plot graph on this scale.

Answer:

x-axis scale, 0–30; label, Months

y-axis scale, 0–9,000; label, Total Remaining Debt ($)

Step-by-step explanation:

For the time scale you must have a value that goes over 25, and the units of months, not years.  For the Remaining Debt scale the value needs to be in a range that goes over $8950

Answer:

-20/35    if you simplify it would be -4/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(n) = 3n + 2, n ≥ 1

Substitute n = 3:

f(3) = 3(3) + 2 = 9 + 2 = 11

The third term of the sequence is 11 given that that the sequence has a domain of n ≥ 1 and f(n) = 3n + 2. This can be obtained by substituting 3 in the sequence since we have to find the third term.

Given that, the sequence ⇒ f(n) = 3n + 2

Since n ≥ 1, first term will be ⇒ f(1) = 3(1) + 2 = 5

Second term will be f(2) = 3(2) + 2 = 8

Third term will be f(3) = 3(3) + 2 = 11

Thus the sequence is 5, 8, 11, ... and the third term is 11.

Hence the third term of the sequence is 11 given that that the sequence has a domain of n ≥ 1 and f(n) = 3n + 2.

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Answer: Common

Step-by-step explanation:

The answer is with a multiplication of denominators, because when you multiply the denominator of one fraction with the denominator of the other fraction, we will get product which could divide between both denominator

for example if you have the following equation:

2/3+2/4

and you multiply 3*4 =12

and you can use it to complete the equation as a common denominator

Step-by-step explanation:

6 months = 0.5 years (6/12)

1 year + 0.5 years = 1.5 years

Answer: (-4,9)

Step-by-step explanation:

After applying the sequence of transformations, the coordinates of the final point are (-4, 9).

In Mathematics and Geometry, a reflection over or across the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of the point (4, -9), we have the following new coordinates for the image;

(x, y)                →      (-x, y)

(4, -9)           →     (-4, -9)

By applying a reflection over the x-axis to the coordinates of the point (-4, -9), we have the following new coordinates for the image;

(x, y)                →      (x, -y)

(-4, -9)           →     (-4, -(-9)) = (-4, 9)

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The most appropriate price per stick of gum should be $0.5966.

Given that,

Based on the above information, the calculation is as follows:

[tex]= 30\div 1.79[/tex]

= 0.5966

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Answer:

Variance = 25

Step-by-step explanation:

Standard deviation is the under root of variance.

Variance is the square of standard deviation.

Data:

Mean = 70

Variance = ?

Standard deviation = √variance = 5

Variance = 5²

Variance = 25.

Therefore, the variance is 25.

Final answer:

The variance of the monthly discretionary expenses on meals out with friends is 25 dollars squared.

Explanation:

To find the variance of Janine's data on the spending habits of students for meals out with friends, you'll use the squared value of the standard deviation.

Since Janine found the standard deviation to be five dollars, you simply need to square this number to find the variance.

Step-by-step Calculation:

The variance of the distribution of monthly discretionary expenses on meals out is 25 dollars squared.

Answer:

29° and 61°

Step-by-step explanation:

Complementary angles sum to 90°

let one angle be x then the other angles = 2x + 3

Sum the angles and equate to 90

x + 2x + 3 = 90, that is

3x + 3 = 90 ( subtract 3 from both sides )

3x = 87 ( divide both sides by 3 )

x = 29

and 2x + 3 = (2 × 29) + 3 = 58 + 3 = 61

The two angles are 29° and 61°

Answer:

The new dimensions of the rectangle, after a dilation will be 72 ft by 18 ft

Step-by-step explanation:

we know that

The new dimensions of the rectangle, after a dilation will be equal to the original dimensions multiplied by the scale factor

we have

The scale factor is 9/4

Original length =32 ft

Original width=8 ft

Find the new dimensions after dilation

New length=(9/4)32=72 ft

New width=(9/4)8=18 ft

therefore

The new dimensions of the rectangle, after a dilation will be 72 ft by 18 ft

Answer:

The scale factor is 9/4

Original length =32 ft

Original width=8 ft

New length=(9/4)32=72 ft

New width=(9/4)8=18 ft

The new dimensions of the rectangle, after a dilation will be 72 ft by 18 ft

Step-by-step explanation:

Answer:see explanation

Step-by-step explanation:

first look at the abosloute value of the number, then go back to the question and look at the sign of that number. That sign should be the same sign as the sum.

for example

73+(-54)=

the absolute value of 73 is 73

the absolute value of -54 is 54

73 is bigger

go back to look at the sign of 73 in the eq.

it is positive, thus the answer should be positive too.

Answer:

8,953

Step-by-step explanation:

line up 7,909 and 1,044 like this :

7,909

+ 1,044

then add everything

Using the addition algorithm, first you align the numbers by place value, then starting from the rightmost position, you add each place numbers together. Accordingly, 7909 + 1044 equals 8953.

The process of adding two numbers using the additon algorithm begins with lining up the numbers by their place values. Starting from the rightmost digit, which is the one's place, you add the numbers in each corresponding place together.

In this case, Adding 7909 and 1044:

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Answer:

7000

Step-by-step explanation:

Answer is 20

Step-by-step explanation: