Determine the unit rate

Answer: The comic book was $3.

Step-by-step explanation:

Instead of 5x=8, it should have been 5+x=8 because he only purchased a single comic book. Subtract 5 from 8 and your X value is 3.

Answer:

Liam spent $3 on the book.

Step-by-step explanation:

Liam bought a comic book and had $5 left.

He had a total of $8 walking into the store, so he spent [tex]8-5=3[/tex] dollars on the comic book.

Liam used the equation 5x=8 to model the problem.

This is wrong. The correct form would have been [tex]8-x=5[/tex] or [tex]5+x=8[/tex] where x represents the amount of money he spent.

Hence, Liam spent $3 on the book.

Final answer:

The lawyer with an annual income of $173,482 and a tax rate of 5.5% will pay $9,541.51 in income taxes.

Explanation:

To calculate the amount of income tax that the lawyer needs to pay, we multiply their annual income by the income tax rate. In this case, the lawyer has an annual income of $173,482 and the income tax rate is 5.5%. The calculation would be:

Income Tax = Annual Income × Income Tax Rate

Income Tax = $173,482 × 0.055

Income Tax = $9,541.51

Therefore, the lawyer will pay $9,541.51 in income taxes.

2x - 3y = 3

x + 2y = 5

In the second equation we have an x-term that has a coefficient of 1 (which means the x is all by itself), so we can isolate that x and solve by substitution.

x + 2y = 5

x + 2y - 2y = 5 - 2y

x = 5 - 2y

The expression 5 - 2y will be substituted for x in the first equation.

2x - 3y = 3

2(5 - 2y) - 3y = 3

Solve for y.

2(5 - 2y) - 3y = 3

10 - 4y - 3y = 3 (distribute the 2)

10 - 7y = 3 (collect like terms)

-7y = -7 (subtract 10 from both sides)

y = 1 (divide both sides by -7)

Substitute 1 for y in the second equation to find x.

x + 2y = 5

x + 2(1) = 5

Solve for x.

x + 2(1) = 5

x + 2 = 5 (multiply)

x = 3 (subtract 2 from both sides)

Always check your work. Substitute into the original system.

2x - 3y = 3

2(3) - 3(1) = 3

6 - 3 = 3

3 = 3

x + 2y = 5

3 + 2(1) = 5

3 + 2 = 5

5 = 5

x = 3 and y = 1; (3,1)

Answer:

13 plants.

Step-by-step explanation:

We have been given that Malachi’s garden is 2 3/5 meters long. He wants to plant tomato plants every 1/5 of a meter.

To find the number of tomato plant that will fit the garden, we will divide length of garden by 1/5 as:

[tex]\text{Number of tomato plant that will fit the garden}=2\frac{3}{5}\div \frac{1}{5}[/tex]

Convert mixed fraction into improper fraction:

[tex]2\frac{3}{5}\Rightarrow\frac{2\times5+3}{5}=\frac{10+3}{5}=\frac{13}{5}[/tex]

[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{5}\div \frac{1}{5}[/tex]

Convert to multiplication problem by flipping the 2nd fraction:

[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{5}\times \frac{5}{1}[/tex]

[tex]\text{Number of tomato plant that will fit the garden}=\frac{13}{1}\times \frac{1}{1}[/tex]

[tex]\text{Number of tomato plant that will fit the garden}=13[/tex]

Therefore, 13 plants will fit Malachi's garden.

Answer:

Step-by-step explanation:

the x-intercept when y = 0

1 ) 1/5 x +3 =0    1/5x = - 3 so : x = -15

2) 6x -7 = 0       6x = 7   so ; x =7/6

3) -8/3x +9 = 0    -8/3 x = -9  so  : x =27/8

Answer:

223 11/8 ft squared

Step-by-step explanation:

i made an improper fraction first then multiplied the numerators together and the denominators together and got 4205/18 then i simplified and got 233 11/18

145  x  29   =  4205  =  233 11/18

 6        3            18

Answer:

-6

Step-by-step explanation:

[tex] | - 2| = 2 \\ {( - 2)}^{3} = ( - 2)( - 2)( - 2) = ( - 8) \\ \\ | - 2 | + {( - 2)}^{3 } = 2 - 8 = - 6[/tex]

To evaluate the expression |b|+b^3 when b=-2, substitute -2 for b, evaluate |b| and b^3 separately and then add the results.

To evaluate the expression |b|+b^3 when b=-2, we substitute -2 for b in the expression.

The absolute value of a number is that number's distance from zero on a number line, regardless of which direction. This means that the absolute value of any negative number is its positive equivalent. Thus, |b| is the same as |-2|, which equals 2.

Secondly, b^3 means b multiplied by itself twice. So (-2)^3 equals -2*-2*-2 which is -8.

First, we evaluate |b|. The absolute value of -2 is 2, so |b| = 2.

Next, we evaluate b^3. (-2)^3 = -8.

Finally, we add the two results together: 2 + (-8) = -6.

Therefore, when b=-2, the expression |b|+b^3 evaluates to -6.

https://brainly.com/question/4344214

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Let n = the number

(1/5)n - 7

Answer:

y=3x-5

Step-by-step explanation:

parallel means that both lines share the same gradient.

from the equation y=3x-12 , we can deduce that the gradient is 3 because it is in the gradient-intercept form

now substitute values into formula

y-y1=m (x-x1)

y--2=3 (x-1)

expand brackets and simplify

y+2=3x-3

subtract 2 from both sides of equation

y=3x-5

Answer:

2x-4 = 22

2x = 26

x=13 check |26-4|=22

-(2x-4) = 22

-2x+4 = 22

-2x = 18

x=-9 Check |-18 -4| = |-22| = 22

Answer:

x=13

Step-by-step explanation:

Finding the answer to this is very simple actually. you can actually solve this problem without the || because x has to be a positive value for this to work. 2x-4=22 can be done by adding 4 to both sides and getting the answer 26. Isolate the variable by dividing both sides by 2 to get x=13

Answer:

14/18 = 0.778

Step-by-step explanation:

14 divided by 2 = 7

18 divided by 2 = 9

7/9 is the same as 7 divided by 9

= 0.778

The decimal equivalent of [tex]\( \frac{14}{18} \)[/tex] is approximately 0.777777777777778.

To convert [tex]\( \frac{14}{18} \)[/tex] to a decimal, one divides 14 by 18. This can be done by hand or with a calculator. When dividing 14 by 18, the result is a repeating decimal where the digit 7 repeats indefinitely. This repeating decimal can be represented as 0.777777777777778 when rounded to the nearest 10th decimal place.

Alternatively, one can simplify the fraction [tex]\( \frac{14}{18} \)[/tex] before converting it to a decimal. By dividing both the numerator and the denominator by their greatest common divisor, which is 2, the fraction simplifies to [tex]\( \frac{7}{9} \)[/tex]. When 7 is divided by 9, the result is again the repeating decimal 0.777777777777778.

In summary, [tex]\( \frac{14}{18} \)[/tex] simplifies to [tex]\( \frac{7}{9} \)[/tex] and as a decimal, it is approximately 0.777777777777778.

Answer:

Y = 50

Step-by-step explanation:

Solve for Y:

Y - 9 = 41

Add 9 to both sides:

Y + (9 - 9) = 9 + 41

9 - 9 = 0:

Y = 41 + 9

41 + 9 = 50:

Answer:  Y = 50

Answer:

Y=50

Step-by-step explanation:

First you have to know that whatever you do to one side of the equal sign you must do to the other. Now you want to try and get rid of the 9 so you can separate the variable.

Y-9=41

+9 +9

Y = 50

Answer:

About 151.500

Step-by-step explanation:

Actual answer is 151.528 Just go with mental math.

Answer:

he had 1/4 of the pie; there's 3/8 left over. That's also 37.5% of the pie left over. Not sure what you're trying to get.

Step-by-step explanation:

1/4 is also 2/8

Answer:

4. as they move clockwise they change/gain .01 points

5. .32 , .33 , .34 , .36 , .37 , .39

.8 , .81 , .83 , .85 , .86 , .88

Step-by-step explanation:

Simplifying

12x + 10 + 3 + 8x = 0

Reorder the terms:

10 + 3 + 12x + 8x = 0

Combine like terms: 10 + 3 = 13

13 + 12x + 8x = 0

Combine like terms: 12x + 8x = 20x

13 + 20x = 0

Solving

13 + 20x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.

13 + -13 + 20x = 0 + -13

Combine like terms: 13 + -13 = 0

0 + 20x = 0 + -13

20x = 0 + -13

Combine like terms: 0 + -13 = -13

20x = -13

Divide each side by '20'.

x = -0.65

Simplifying

x = -0.65

Answer:

You have to do like terms

Step-by-step explanation:

12x+10+8+8x

12x+8x = 20x

10+3 = 13

your answer would be

20x+10

Answer:

$42.05

Step-by-step explanation:

Take $96.00 from 1,584.19 to figure out how much he had before he deposited

1,584.19 - 96 = 1,488.19

Now take away what he had after he took 96, to after he added.

1,530.24 - 1,488.19 = 42.05

Allen deposited $42.05

Answer:

0 I think

Step-by-step explanation:

Answer:

25/12 or 2 1/12

Step-by-step explanation:

4/3 - (-3/4) =

= 4/3 + 3/4

= 16/12 + 9/12

= 25/12

= 2 1/12

Greetings!

First off, we should know that there are 60 minutes in an hour. Therefore, the first step we will need to do, is divide 60 by 10.

60 ÷ 10 = 6

As shown above, we now know we will have to double the number 6 times. If we start with 30, this will be our first problem.

(1)   30 + 30 = 60

And so on and so forth...

(2)   60 + 60 = 120

(3)   120 + 120 = 240

(4)   240 + 240 = 480

(5)   480 + 480 = 960

(6)   960 + 960 = 1920

And after our sixth time we have our answer:

1920 bacteria

Hope this helps!

~Fluerie

Answer:

(5 x 100) + (2 x 50) + (1 x 1) + (9 x 0.10) + (8 x 0.01) + (5 x 0.001)

Answer:

(5 x 100) + (1 x 50) + (1 x 1) + (9 x 1/10) + (8 x 1/100) + (5 x 1/1000)

step by step explanation:

500 + 50 + 1 + 0.9 + 0.08 + 0.005

= 551.985

Answer 0.0000001356

Step-by-step explanation:Since the exponent of the scientific notation is negative, move the decimal point

8 places to the left.

Answer:

2.91666667 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

I don't know exactly how simplified it will be, but you can get the square root smaller.

180: 2*2 * 3*3 *5

For every pair of prime factors you can take 1 of the pair outside the the square root and throw the other one away

sqrt(2*2*3*3*5) = 2 * 3 * sqrt(5) = 6*sqrt(5)

Answer:

The graph of the function has three vertical  asymptotes

Step-by-step explanation:

we have the function

[tex]f(x)=\frac{5}{3x(x+1)(x-7)}[/tex]

we know that

To find the vertical asymptotes of a rational function, simply set the denominator equal to 0 and solve for x.

so

[tex]3x(x+1)(x-7)=0[/tex]

The values of x are x=-1,x=0, x=7

using a graphing tool

see the attached figure to better understand the problem

therefore

The graph of the function has three vertical asymptotes

Answer:

3. The answer is 3

Step-by-step explanation:

Answer:

The fraction number is [tex]\frac{34}{9}[/tex]

Step-by-step explanation:

we have

[tex]3.777...[/tex]

This is a repeating decimal  (a decimal that has a digit, that repeat over and over and over again without ever ending)

Convert to fraction number

Let

[tex]x=3.777...[/tex]

[tex]10x=37.777...[/tex]

we know that

[tex]10x-x=37.777...-3.777...[/tex]

[tex]9x=34[/tex]

[tex]x=\frac{34}{9}[/tex]

therefore

The fraction number is [tex]\frac{34}{9}[/tex]

Answer:

x=-y

Step-by-step explanation:

Answer:

Step-by-step explanation: Edmentum Answer

Answer:

Step-by-step explanation: I got it wrong lol

Answer:

[tex]y = 2x + 3[/tex]

Step-by-step explanation:

First, we can find the slope of the line.

[tex]m = \frac{y1-y2}{x1-x2}\\m=\frac{9-5}{3-1}\\m = \frac{4}{2}=2\\[/tex]

Using the [tex]y = mx + b[/tex] equation, we can solve for b

[tex]9 = 2(3)+b\\9 = 6 + b\\b = 9-6 = 3[/tex]

Let's see if [tex]y = 2x + 3[/tex] works

[tex]2(1) + 3 \\2 + 3 = 5\\\\2(3) + 3\\6 + 3 = 9[/tex]

It checks out!

Answer: 12.5

25 / 2 = 12.5

and so does

25 x .50 = 12.5

We are just cutting the price in half, or 50%.

Hope this helps you!