The following linear system is to be solved using a
substitution method.
x = 4y - 94
3x + 8y = 218
After the initial substitution, the resulting expanded
equation would be
A. 12y – 282 +8y = 218
B. 3x + 32y – 94 = 218
C. 3x + 32y – 752 = 218
D. 12y - 94 + 8y = 218

Given parameters:

Charge per month  = $65

Percentage on rent= 6%

Amount paid by Jack per month = $164

Unknown:

Monthly rent on his property = ?

Solution:

  Monthly rent on his property can be found by;

  Amount paid by Jack per month = Charge per month + 6% of monthly rent

Let the monthly rent = x ;

  So;

              164  = 65 + [tex]\frac{6}{100} x[/tex] x

              164 - 65  = [tex]\frac{6x}{100}[/tex]

                   99  = [tex]\frac{6x}{100}[/tex]

                   6x = 9900

                    x = 1650

Monthly rent on his property is $1650

Answer:

12

Step-by-step explanation:

Using the formula

A=πr^2

Solving for r

r=A

π=452.39

π≈12.00001

Answer:

The radius is equal to 12 yards

Answer:

D

Step-by-step explanation:

in y > 2x equation, the line will be dashed and u will shade above the line

Answer: x= 54

Step-by-step explanation:mathhhhh

Answer:

Step-by-step explanation:

The number of real solution of a quadratic equation can be found from the number of x-intercepts on the graph. If the curve passes through the x-axis twice, (2 x-intercepts), then the equation has two real solutions.

If it passes through once, (the vertex is on x-axis), then there is one real solution, and if it does not touch the x-axis at all (floating above it or below it), then it has no real solutions.

Hope this helped!

Answer:

1

Step-by-step explanation:

Characters are developed in the passage through their actions. Therefore, option A is correct.

Characters are the people, animals, or entities portrayed in a literary work such as a passage, story, or novel. They are often the main focus of the narrative and drive the plot forward.

A character can be developed through various literary techniques such as actions. Their traits, motivations, and relationships with other characters help to create a deeper understanding of the story and its themes.

Well-developed characters often feel like real people, with complex personalities, histories, and emotions, which helps to engage the reader and create a sense of empathy or connection. Therefore, option A is correct.

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Answer:

Step-by-step explanation:

x - the smallest of three consecutive integers (the first)

x+1 - the next of three consecutive integers (the second)

x+2 - the last of three consecutive integers (the third)

3(x+2) - three times the third integer

3(x+2)+x - three times the third increased by the first

5(x+1)   - five times the second tnteger

5(x+1)-8  - 8 less than five times the second

3(x + 2) + x = 5(x + 1) - 8

3x + 6 + x = 5x + 5 - 8

   4x + 6 = 5x - 3

       -4x        -4x

        6 = x - 3

         x = 9

x+1 = 10

x+2 = 11

Check:  3×11+9 = 33+9 = 42,   5×10-8=50-8 = 42

Answer:

The answer is B and D

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

5^3 and that evaluated is 125

Step-by-step explanation:

slope is

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

equation of that line is

[tex]y = \frac{1}{2} x + 5 \\ [/tex]

and y intercepts that line at point (0,5). x=0 and y=5

Answer:

It should be 1

Answer: 1 is your answer!

Step-by-step explanation:

GCF = 1

for the values 14, 15, 21

Solution by Factorization:

The factors of 14 are: 1, 2, 7, 14

The factors of 15 are: 1, 3, 5, 15

The factors of 21 are: 1, 3, 7, 21

Then the greatest common factor is 1.

Answer:

That would 40 degrees.

(Sorry I can't explain rn) It would have to do with exterior angles.

Answer:

c

Step-by-step explanation:

i took it

√6= 2.45    6+2.45=8.45  8.45 and 2/3 =9.12  

answer to question 3 is 6+ √6

The fourth one idk if im right or not but im pretty sure its x³ - 12x² + 37x = 0

Descartes' rule of sign is used to determine the number of real zeros of a polynomial function. It tells us that the number of positive real zeroes in a polynomial function f(x) is the same or less than by an even numbers as the number of changes in the sign of the coefficients.

Answer:

C. a simple sentence

Step-by-step explanation:

Simple sentences have one subject and one verb or predicate. Some of these have a direct object or a modifier, but they still only have one subject and one verb. If you need to brush up on these parts of speech, read up on Understanding Subjects, Predicates, and Objects.

plz mark brainliest

Answer:

This is C. A simple sentence

Step-by-step explanation:

This sentence does not consist a conjunction and only consist of one independent clause.

I think the answer is 23

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer:

[tex]\huge \boxed{\sf \bf x^2+10x+24}[/tex]

Step-by-step explanation:

Hello,

This is the same logic as your other question

-6 and -4 are roots and the leading coefficient is 1 so the quadratic equation is

[tex](x+4)(x+6)=x^2+10x+24[/tex]

Thanks

Answer:

the word total tells you the operation is addition

Answer:32  times 4 -  8 in degrees

Step-by-step explanation:

Since b = x, hence the value of b is 30 degrees

For two angles to be supplementary, the sum of the angles must be equal to 180 degrees

Given the angles

a = 30 + 2x

b = x

Equating the sum to 180

a + b = 180

30+2x + x = 180

30 + 3x = 180

3x = 180 - 30

3x  = 150

x = 30 degrees

Since b = x, hence the value of b is 30 degrees

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Answer:

Joseph caught 7 tadpoles

Step-by-step explanation:

Let the number of tadpoles caught by Joseph be x

The number of tadpoles Wendy caught will be ;

9(x + 3)

After Joseph was upset, he released half of Wendy’s tadpole and then six times as many as Joseph caught swam away leaving Wendy with only three tadpoles left;

Hence, mathematically;

9(x + 3)/2 - 6x = 3

Multiply through be 2

9(x + 3) - 12x = 6

9x + 27 -12x = 6

9x -12x = 6-27

3x = 21

x = 21/3

x = 7

Answer:

what? better explanation

Domain = {-3, -2, 0, 2, 4}

Range = {-4, 0, 2, 3, 5}

The domain is the set of all possible x values, so we just list all the unique x coordinates of each point. The y coordinates of each point is listed to form the range. Ignore any duplicates.

Answer:

12

Step-by-step explanation:

y=c that make 0 and then i mulitply -1 to -12

then i did the opposite for 360 time -12 that 700 and then i devided and got 12

The resulting value for the given sum of trignometry identity is -2

Trigonometry identity are written in tems of sine, cosine and tangent

According to the trigonometry identity

sec theta = 1/costheta

cot theta = 1/tantheta

Given the trigonometry expression

sec 180 + sin 270 - tan 180 + cot 270

This can also be written as;

1/cos180 + sin270 - tan 180 + 1/tan270

= -1/cos0 + (-sin90)  - tan0 +1/tan90

= -1 - 1 - 0 +1/∞

= -1 -1 + 0
= -2

Hence the resulting value for the given sum of trignometry identity is -2

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Answer:

66 degrees

Step-by-step explanation:

I dont remember the name of this law but ik its right

Answer:

Step-by-step explanation:

The burger was 3 dollars and 50 cents . The two order of fries were 3 dollars

Answer:

$3.50

Step-by-step explanation:

first you take the amounts you do know, which is the total amount and the cost of one order of fries.

you know he got 2 fries, so thats 1.50 times 2.

1.50 x 2 = 3.00

then you subtract that from the total

6.50 - 3.00 and you're left with 3.50