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An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are: -1.43, 1 3/4, 3.14, . 09, and 5,643.1.

Using the information in the exercise to develop the system of equations and using the substitution method, the following answers are found:

The system of the linear equations is P = F + 0.50, 2D = 3F - 0.50, and 2P + F + 3D = 7.75, where P = The price of a box of popcorn, D = The price of a drink, and F = The price of a piece of fruit. By other hand, the price of each item is: Popcorn = $1.50, Drink = $1.25, and Fruit = $1.

Solution of the system of equations by the Substitution Method.

Taking into account the information given in the exercise, we can write the next equations:

Where:

Since all equations have the variable F, we are going to use it as a key variable to represent the other variables in terms of F.

In the first equation we should not do anything, since P is in terms of F, in the second case the variable D is also in terms of F, but we need to find the value of just D, by this:

We proceed to substitute the first and second equations in the third equation:

And we solve for the variable F:

Now, we can solve for the variable D with the second equation:

Finally, we can solve for the variable P with the first equation:

So, we have the price of each item:

If you want to see another exercise solved by the substitution method, you can see this link: https://brainly.com/question/22340165?referrer=searchResults

Step-by-step explanation:

1)

[tex]\frac{2}{3} +\frac{4}{5} =\frac{10+12}{15}=\frac{22}{15} .[/tex]

2) the same value of the denominator of the fractions.

3) 4²*2²=16*4=64 or 4²*2²=(4*2)²=8²=64.

Megan's answer is correct.

4) if the given length is 2,25=9/4 (feet), then the length of each piece is 9/4 :3=3/4=0.75 (feet) or 3/4*12=9 (inches).

5) a. 4-6= -2; b. -4+6=2; c. -4-6= -10, so the required order is c<a<b.

6) A. -8+3= -5; B. -8*3= -24, so the greater value is (-5) - answer A.

7) if to calculate every option, then A. 2.3*6.5=14.95; B. 21.45-6.5=14.95; C. 8.32+6.63=14.95, - all of them are equal.

Answer:

1.

[tex] \frac{2}{5} = \frac{x}{15} \\ \\ 5x = 2 \times 15 \\ 5x =30 \\ x = \frac{30}{5} \\ x = 6[/tex]

2.

[tex] \frac{4}{3} = \frac{x}{7} \\ 3x = 4 \times 7 \\ 3x = 28 \\ x = \frac{28}{3} \\ x = 9.33 [/tex]

3.

[tex] \frac{7}{5} = \frac{28}{x} \\ 7x = 5 \times 28 \\ 7x = 140 \\ x = \frac{140}{7} \\ x = 20[/tex]

4.

[tex] \frac{11}{4} = \frac{5}{x} \\ 11x = 5 \times 4 \\ 11x = 20 \\ x = \frac{20}{11} \\ x = 1.8[/tex]

I hope I helped you^_^

Answer:

164

Step-by-step explanation:

in standard form CLXIV IS 164

Answer:

x=11

y=3

Step-by-step explanation:

(9x+25)=(13x-19)

9x+25 = 13x−19

9x+25-25 = 13x−19-25

9x=13x-44

9x-13x=13x-44-13x

-4x= -44

x=11

y= 180-(9x+25)

y= 180-(99+25)

y= 180-124 = 56

y= 56-5 = 51

y= 51/17

y= 3

Good luck

Answer:

less then 90º

Step-by-step explanation:

an acute angle is an angle which is less then 90º

Answer:

In one month he earn €2,100

He worked whole year

1 year = 12 months

So,

George earning is 12 months = 12 × Earning of one month

=> 2100 × 12

=> 25200

Answer:

Step-by-step explanation:

Given sequence:

Rewrite as:

We observe the numerators: 1, 2, 3, 4 and denominators: 8, 7, 6, 5

The next two terms are:

or

Recreate

We can see

The denominator is decreasing by 1 and numerator is increasing by 1

So next term

Next term

Answer:

Step-by-step explanation:

13) LCM of 20 , 5 is 20

Find equivalent fraction for 2/5 with denominator 20

[tex]\dfrac{2}{5}=\dfrac{2*4}{5*4}=\dfrac{8}{20}[/tex]

Now compare

[tex]\dfrac{7}{20} \ < \dfrac{8}{20}\\\\\dfrac{7}{20} \ < \dfrac{2}{5}[/tex]

14) Convert fraction to decimal

[tex]\dfrac{1}{8}= 0.125[/tex]

0.15  > 0.125

[tex]0.15 \ > \dfrac{1}{8}[/tex]

15) 0.5 , -1/7  , -0.2  ; 1/3

[tex]\dfrac{-1}{7}=-0.14\\\\\dfrac{1}{3}=0.3\\[/tex]

0.5, - 0.14 , -0.2  ; 0.3

Least to greatest:

-0.2 ;  - 0.14   ; 0.3  ; 0.5

Answer:

-0.2  ; [tex]\dfrac{-1}{7} \ ; \dfrac{1}{3} \ ; \ 0.5[/tex]

Answer:

y = 1/2 x - 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 Peoples can eat 5 Chicken in 5 Days.

[tex]\mathfrak\purple{please \: mark \: me \: as \: brainliest}[/tex]

Answer:

[tex]than k\: you[/tex]

Step-by-step explanation:

(110101)2=(53)10

This is the ans.

[tex](3x + 4)(6 {x}^{2} - 5x + 7) \\ = 18 {x}^{3} - 15 {x}^{2} + 21x + 24 {x}^{2} - 20x + 28 \\ = 18 {x}^{3} + 9 {x}^{2} + x + 28[/tex]

I hope I helped you^_^

Answer:

Rational ...................

Step-by-step explanation:

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). However, one third can be express as 1 divided by 3, and since 1 and 3 are both integers, one third is a rational number

Step-by-step explanation:

7x - 5 = 8

7x = 8 + 5

7x = 13 (divide both sides by 7 to get x)

7x/7 = 13/7

x = 1.85714285714

Answer:

(14,-9)

Step-by-step explanation:

Step-by-step explanation:

5(12+8)...

if my answer helps you than mark me as brainliest.

Answer:

y is larger.

Step-by-step explanation:

Along the same vertical line, 2 points have the same x value. So x=2 and y=4.

Answer:

one quarter is 0.25c

so q=0.25c

Answer:

x = 1

Step-by-step explanation:

f(x) = 3 or y = 3

Locate y = 3 on the y- axis , go horizontally across to meet the line at (1, 3 )

Then

When f(x) = 3 , x = 1

Answer:

3+ x • {2x} + 5 = 858

Step-by-step explanation:

<33 hoped this helped !!!

Answer:

68/35

Step-by-step explanation:

Answer:

1.94285714286 (Rounded to): 1.943

Answer:

the greatest common factor is 4a