.
The model represents an equation.
what is the solution for this equation?
a x=3
b x=15
c x=5
d x=1

The cost of one taco is $3.75.

We are given cost of salad, the sales tax and tip along with total expenditure. We already know, that sales tax is calculated on the cost of items. Hence, forming the equation accordingly. Let us assumed the cost of one taco be $x. So, the cost of two tacos will be $2x.

The equation will be -

2x + 2.50 + (2x + 2.50)×(6÷100) + 3 = 13.60

2x + 2.50 + (2x + 2.50)×0.06 + 3 = 13.60

Now, solving this equation to find the value of x and hence the cost of one taco.

2x + 2.50 + 0.12x + 0.15 + 3 = 13.60

Performing addition on Left Hand Side

2.12x + 5.65 = 13.60

Shifting 0.18 to Right Hand Side and performing subtraction

2.12x = 13.60 - 5.65

2.12x = 7.95

x = 7.95÷2.12

Performing division

x = 3.75

Thus, the cost of one taco is $3.75.

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Answer:

x ≥ 10 or x ≤ -8

Step-by-step explanation:

2|x - 1| - 3 ≥ 15

Add 3 to both sides;

2|x - 1| ≥ 18

Divide both sides by 2

|x - 1| ≥ 9 or |x - 1| ≤ -9

x - 1 ≥ 9 or x - 1 ≤ -9

Add 1 to both sides;

x ≥ 10 or x ≤ -8

Complete question :

Hayley is buying herbs. She wants to buy 5/6  ounce of basil. The scale she is using to weigh the basil displays the weight as a decimal. How will she know when the display on the scale is correct to the tenths place? Explain your reasoning.

Answer:

0.8

Step-by-step explanation:

To obtain the fractional expression of weight in decimal form:

5/ 6 ounce of bassil is converted into decimal :

5 / 6 = 0.8333

Hence, for a fraction of 5 /6, we obtain;

5/6 = 0.8333

To the nearest tenth :

0.8

Answer:

1

Step-by-step explanation:

An arithmetic sequence is a sequence in which each term after the first is found by adding a comstant, called the common difference d, to the previous term. The set of positive odd numbers, 1, 3, 5, 7, ... , is a sequence. The first term, a1, is 1 and each term is 2 greater than the preceding term.

Answer:

7x+18

Step-by-step explanation:

add both 4x and 3x to get 7x and add 10 and 8 to get 18. therefore 7x+18

The final expression of (4x + 10) + (3x + 8) is 7x + 18.

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,

(4x + 10) + (3x + 8)

Combine like terms.

4x + 3x + 10 + 8

7x + 18

Thus,

The final expression is 7x + 18.

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Answer:

x =-18

Step-by-step explanation:

5(x + 9) = -45

Divide each side by 5

5/5(x + 9) = -45/5

x+9 = -9

Subtract 9 from each side

x+9-9 = -9 -9

x =-18

Answer:

The correct answer is x = -1.

Step-by-step explanation:

Step 1: 5(x + 9) = -45 <----- This is the original problem.

Step 2: 5(9x) = -45 <----- Add the variable.

Step 3: [tex]\frac{5(9x)}{5} = \frac{-45}{5}[/tex] <----- Divide both sides by 5.

Step 4: 9x = -9 <----- Simplify

Step 5: 9x/9 = -9/9 <----- Divide both sides by 9.

            x = -1

Hope this helps! :D

Answer:

y = 2x + 9

Step-by-step explanation:

The y-intercept: 9

Slope: 2x

Answer:

Cost of one apple pie is $12.50 and cost of one lemon merigue pie is $8.75

Step-by-step explanation:

Let,

x be the cost of each apple pie

y be the cost of each lemon merigue pie

According to given statement;

5x+2y=80     Eqn 1

3x+6y=90     Eqn 2

Multiplying Eqn 1 by 3

3(5x+2y=80)

15x+6y=240    Eqn 3

Subtracting Eqn 2 from Eqn 3

(15x+6y)-(3x+6y)=240-90

15x+6y-3x-6y=150

12x=150

Dividing both sides by 12

[tex]\frac{12x}{12}=\frac{150}{12}\\x=12.50[/tex]

Putting x=12.50 in Eqn 1

5(12.50)+2y=80

62.50+2y=80

2y=80-62.50

2y=17.50

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{17.50}{2}\\y=8.75[/tex]

Hence,

Cost of one apple pie is $12.50 and cost of one lemon merigue pie is $8.75

Answer:

All of them except for the 3rd one

Step-by-step explanation:

2) 15 - 3x = 5(x + 4) - 8x

15 - 3x = 5x + 20 - 8x

15 - 3x ≠ -3x + 20

4) 2(x - 7) = 2x - 10

2x - 14 ≠ 2x - 10

1) 24x - 22 = -4(1 - 6x)

24x - 22 ≠ -4 + 24x

3) 12 - 2x = 6(2x + 2)

12 - 2x = 12x + 12

0 = 14x

0 = x, only one that has a solution

Answer:

40 quarts

Step-by-step explanation:

there are 4 quarts in a gallon

Answer:

Where is the question?

Step-by-step explanation:

Answer:

-1 , -0.5

Step-by-step explanation:

Edg

The other person is right. Give him/her credit.

Answer:13

Step-by-step explanation:

7x + 2 = 28 + 5x

subtract 5x on both sides

7x - 5x + 2 = 28

2x = 28 -2

2x = 26

x = 13

if correct mark braliest! :)

hope this helps

Answer:

a

  [tex]P( \^ p > 0.775 ) = 0.12798[/tex]

b

 [tex]P( 0.6718 < p < 0.775 ) =0.87183[/tex]

Step-by-step explanation:

From the question we are told that

    The population proportion is  [tex]p = 0.75[/tex]

Considering question a  

     The sample size is  [tex]n = 387[/tex]

Generally the standard deviation of this sampling distribution is  

         [tex]\sigma = \sqrt{ \frac{p(1 - p)}{ n } }[/tex]    

=>      [tex]\sigma = \sqrt{ \frac{0.75(1 - 0.75)}{ 387 } }[/tex]    

=>      [tex]\sigma = 0.022[/tex]    

The sample proportion of cans that are recycled is

                 [tex]\^ p = \frac{ 300}{387 }[/tex]

=>              [tex]\^ p = 0.775[/tex]

Generally the probability that 300 or more will be recycled is mathematically represented as

         [tex]P( \^ p > 0.775 ) = P( \frac{\^ p - p }{ \sigma } > \frac{0.775 - 0.75 }{ 0.022} )[/tex]

[tex]\frac{\^ p  - p }{\sigma }  =  Z (The  \ standardized \  value\  of  \ \^ p  )[/tex]

       [tex]P( \^ p > 0.775 ) = P( Z > 1.136 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1.591   is

      [tex]P( Z > 1.136) = 0.12798[/tex]

=>    [tex]P( \^ p > 0.775 ) = 0.12798[/tex]

Considering question b

Generally the lower limit of  sample proportion of cans that are recycled is

                 [tex]\^ p_1 = \frac{ 260 }{387 }[/tex]

=>              [tex]\^ p_1 = 0.6718[/tex]

Generally the upper limit of  sample proportion of cans that are recycled is

                 [tex]\^ p_2 = \frac{ 300}{387 }[/tex]

=>              [tex]\^ p_2 = 0.775[/tex]

Generally probability that between 260 and 300 will be recycled is mathematically represented as

           [tex]P( 0.6718 < p < 0.775 ) = P( \frac{0.6718 - 0.75 }{ 0.022}< \frac{\^ p - p }{ \sigma } <\frac{0.775 - 0.75 }{ 0.022} )[/tex]

=>      [tex]P( 0.6718 < p < 0.775 ) = P( -3.55 < Z < 1.136 )[/tex]

=>        [tex]P( 0.6718 < p < 0.775 ) = P(Z < 1.136 ) - P( Z < -3.55 )[/tex]

From the z table  the area under the normal curve to the left corresponding to  1.136 and  -3.55  is

       [tex]P( Z < -3.55 ) = 0.00019262[/tex]

and

       [tex]P(Z < 1.136 ) = 0.87202[/tex]

So

       [tex]P( 0.6718 < p < 0.775 ) = 0.87202- 0.00019262[/tex]

=>   [tex]P( 0.6718 < p < 0.775 ) =0.87183[/tex]

The algebraic property of "if 12+4x then 4x+12" is: commutative property of addition.

The Commutative Property of Addition is an algebraic property that states that the change of arrangement or order of an expression does not change the sum of the expression.

For example, based on the commutative property of addition, a + b = b + a.

In the same vein, if we have 12 + 4x, then 4x + 12, it means that whichever way we choose to order the operation, the sum remains the same.

Therefore, the algebraic property of "if 12+4x then 4x+12" is: commutative property of addition.

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Answer:

-7/2 or -3.5

Explanation:

The slope is rise over run.

The rise is how much it went up and the run is how much it went right

The line went up 7 units while going -2 units to the right (meaning it went 2 units to the left)

This makes our slope 7/-2 which is the same as -7/2 or -3.5

Answer:

-1/3

Step-by-step explanation:

join the zoom call and i can explain that way when another question comes no need to waste points: 73216153508 thats the code to join

Answer:

C

Step-by-step explanation:

The GCF of 18 and 24 is 6. So divide both 18 and 24 individually by six and you get 3 and 4.

Answer:

3/4

Step-by-step explanation:

divide both sides by 6

Answer:

C. 1 day

Step-by-step explanation:

Chris:

10 - 4d

Evan:

8 - 2d

How many days will it take before they both have the same number of bags remaining?

Equate both expressions and solve

10 - 4d = 8 - 2d

Collect like terms

10 - 8 = -2d + 4d

2 = 2d

Divide both sides by 2

d = 2/2

= 1

d = 1 day

It will take 1 day before they both have the same number of bags remaining

Answer:

The value of b is 5 times the value of a.

Step-by-step explanation:

The rule that describes the pattern in the table is that the value of b is 5 times the value of a.

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The table shows two sets of values, a and b, where b is obtained by multiplying a by 5.

For example, when a = 1, b = 5, and when a = 2, b = 10.

This pattern continues throughout the table.

Therefore,

The rule that describes the pattern in the table is that the value of b is 5 times the value of a.

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Answer:

It is not L.

Step-by-step explanation:

I just took the test and put L. It was wrong.

Answer:

Yes, It is

Step-by-step explanation:

0.005

Divide the numerator by the denominator, to find the answer

Step-by-step explanation:

the derivative of the sum of terms in x is the same as the sum of the derivatives of the individual terms.

d/dx × (-4sin(x) + 9x) = d/dx × (-4sin(x)) + d/dx × (9x)

and also : the derivative of a term in x multiplied by a constant c is c × derivative of the term in x.

d/dx × (-4sin(x)) + d/dx × (9x) =

-4 × (d/dx × sin(x)) + 9 × (d/dx × x)

so, what is the derivative of sin(x) ? cos(x)

what is the derivative of x ? 1

so, we have as result :

-4cos(x) + 9

Answer:

x = -1

Step-by-step explanation:

4x + 3 = x

Subtract 4x to each side

4x -4x + 3 = x -4x

3 = -3x

Divide by -3 to both sides

3 ÷-3 = -3x ÷-3

-1 = x

x = -1 is your answer.

Have a lovely rest of your day! :)

Answer: 255

Step-by-step explanation:

The solutions for x are x < 16 and x < 7/ 3 respectively

The absolute value of a real number can be defined as the non-negative value of that number without regard or consideration to its sign.

It is also described as the modulus of a number.

Given the inequality;

||x+4|-7|<5

Take the absolute value

x + 4 + 7 < 5

collect like terms

x < 5 + 4 + 7

Add like terms

x < 16

||3x-1|+5|<1

Take the absolute value

3x + 1 + 5 < 1

collect like terms

3x < 1 + 5 + 1

3x < 7

Make 'x' the subject

x < 7/ 3

Thus, the solutions for x are x < 16 and x < 7/ 3 respectively.

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Answer:

5x²-7x+2

step by step explanation:

(f•g)(x) = f(x)•g(x)

(x-1)•(5x-2)

x×5x-2x-5x-1×(-2)

5x²-2x-5x+2

=5x²-7x+2

Answer:

If you roll two dices, you can get as results all numbers from 2 to 12. Among these, the prime numbers are 2, 3, 5, 7, 11. The probability you get each of them is: 2: you can get it only as 1+1, so one combination over 36 possibility. Probability: 1/36. 3: you can get it as 1+2 or 2+1, so two combinations over 36 possibility. Probability: 2/36. 5: you can get it as 1+4, 2+3, 3+2, 4+1, so four combinations over 36 possibility. Probability: 4/36. 7: you can get as 1+6, 2+5, 3+4, 4+3, 5+2, 6+1, so six combinations over 36 possibility. Probability: 6/36. 11: you can get it as 5+6 or 6+5 so two combinations over 36 possibility. Probability: 2/36. The total probability of getting a prime number is the sum of the probabilities, which is 15/36. So m=15, n=36 and 10m+n=150+36=186.