Steve just started a new job where he is paid weekly. Which of the following equations could be used to determine the amount of Steve's first paycheck if 18% is deducted for taxes? (Let x represent the amount he earns the first week and y represent the amount of his first paycheck after taxes.) A. y = 0.82x B. y = 1.18x C. y = x - 0.18 D. y = x + 0.18

Answer:

5c/4

Step-by-step explanation:

c = c × 1

0.25c = 0.25c × 1

c + 0.25c

Take " c " common.

= c × (1 + 0.25)

= c × 1.25

Convert 1.25 into a simpler fraction

1.25

= 125/100

= 5/4

c × 1.25

= c × 5/4

= (c × 5)/4

= 5c/4

The fractional coefficient is (5c/4)

A coefficient is a number or any symbol representing a constant value that is multiplied by the variable of a single term

Given:

[tex]\sf c+0.25c[/tex]

[tex]\sf =(1+0.25)c[/tex]

[tex]\sf =(1.25)(c)[/tex]

[tex]\sf =1.25c[/tex]

[tex]\sf =\dfrac{125}{100}[/tex]

[tex]\sf =\dfrac{5}{4}[/tex]

[tex]\sf =\dfrac{5c}{4}[/tex]

Hence the fractional coefficient is (5c/4)

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Jessica paid more than Amber at lunch.

To find out, we first need to calculate the amount of tip each person left:

Amber's tip = 11.70 x 0.18 = $2.11

Jessica's tip = 12.30 x 0.15 = $1.85

Then we add the cost of the lunch and the tip for each person:

Amber's total cost = 11.70 + 2.11 = $13.81

Jessica's total cost = 12.30 + 1.85 = $14.15

So Jessica paid $0.34 more than Amber for lunch.

Answer:

Step-by-step explanation:

To solve the congruence 5x ≡ 6 (mod 7), we need to find a value for x that satisfies the equation.

First, we'll find the multiplicative inverse of 5 modulo 7. The multiplicative inverse of a modulo m is a number x such that ax ≡ 1 (mod m). In this case, we need to find a number x such that 5x ≡ 1 (mod 7).

To find the multiplicative inverse, we can try different values of x and compute the result until we find one that satisfies the equation. Alternatively, we can use a more efficient method like the Extended Euclidean Algorithm.

Using the Extended Euclidean Algorithm, we find that the multiplicative inverse of 5 modulo 7 is 3, as 5 * 3 ≡ 1 (mod 7).

Now, we can multiply both sides of the congruence by the multiplicative inverse (3) to isolate x:

5x ≡ 6 (mod 7)

3 * 5x ≡ 3 * 6 (mod 7)

15x ≡ 18 (mod 7)

Reducing the coefficients:

1 * x ≡ 4 (mod 7)

Since x ≡ 4 (mod 7), the solution to the congruence 5x ≡ 6 (mod 7) is x ≡ 4 (mod 7). This means that x can be written as x = 4 + 7k, where k is any integer.

The deposited amount in the bank is $100

The simple interest per year on the account is 5%

Every year the account holder will earn 5% of the deposit

In this case, the account holder will earn 5% of 100$ every year

So in the first year interest earned would be= 100× 5/100

= $5

Interest earned in first year= $5

Since the deposit amount is constant and interest is 5%

Interest earned in 8 years= 5×8

= $40

Interest earned after 8 years = $40

Balance after 8 years would be= Initial balance + Interest earned

= 100+ 40

=140

The balance in the account after 8 years is $140

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Answer:

The number is 32

Step-by-step explanation:

In both the expressions, the equations inside the bracket are the same. Since Expression B is 8 times Expression A then, Expression B =

    = 8 x (4[(1.5 + 100.25)x3.65])

    = 8 x 4 = 32

    = 32[(1.5 + 100.25)x3.65]

Therefore, the number is 32          

Answer:

Part A is c

Step-by-step explanation:

A function is a graph thag passes the vertical line test ,meaning it touches the vertical line only once so in order for that happen a point must have one x value (input) and one y value (output)

Answer: length of longest side = 15092 cm

sum of length and breadth = 18856 cm

Step-by-step explanation:

1st question

length : breadth : height

    2     :       3      :      4

2 + 3 + 4 = 9

33957 ÷ 9 = 3773

longest side is the height because it has the biggest number in the ratio

∴ longest side = 4 × 3773 = 15092 cm

2nd question

length : breadth : height

    2     :       3      :      4

2 + 3 + 4 = 9

33957 ÷ 9 = 3773

→ length = 2 × 3773 = 7546 cm

→ breadth = 3 × 3773 = 11319 cm

∴ length + breadth = 7546 + 11319 = 18865 cm

Hope this helps!

The Length of longest edge of the box = 28 cm

The Sum of length and breadth of the box = 35 cm

Steps to calculate the length, breadth and height

Given, ratio(length : breadth : height) = (2:3: 4)

Let length = 2x, breadth = 3x and, height = 4x

Given, the sum of the cubes of length, breadth, and height of the box equals 33957 cm, therefore

[tex](2x)^3[/tex] + [tex](3x)^3[/tex] + [tex](4x)^3[/tex] = 33957

8[tex]x^{3}[/tex] + 27[tex]x^{3}[/tex] + 64[tex]x^{3}[/tex] = 33957

99[tex]x^{3}[/tex] = 33957

[tex]x^{3}[/tex] = 343

[tex]x^3[/tex] = [tex]7^3[/tex]                                                  

x = 7.

Therefore, length    = 2x = 2*7 = 14 cm, breadth = 3x = 3*7 = 21 cm, height   =  4x = 4*7 = 28 cm. Hence, Length of longest side(height) = 28 cm, Sum of length and breadth = 35 cm

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Answer:

c and a

Step-by-step explanation:

Answer: 49.75 in^2 (letter C)

Step-by-step explanation:

2*3.5*2=14

2*3.25*2=13

2*3.5*3.25=22.75

14+13+22.75=49.75 sq. in.

Answer:

are means to multiply and perimeter means to add so you multiply the numbers outs the polygon

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

Option 2 is correct

Multiply equation B by 3 and add the result to A

Question 1)

Volume of Tank A = Sum of volume of its two parts.

So,

Volume of Tank A = 24 + 96 = 120 cubic feet

Question 2)

Volume of Tank B and Tank A is the same. So, Volume of Tank B = 120 cubic feet

One section of Tank B = 45 cubic feet

So, volume of other section of tank B = 120 - 45 = 75 cubic feet

hope this helps sorry

The ratio of the volume of the smaller tank compared to the volume of the larger tank is 1/27. Option B is correct.

Ratio of the volume of the smaller tank compared to the volume of the larger tank = Volume of smaller tank/Volume of larger tank.

Volume of cube = a³

a = length of side of cube.

Length of the side of the smaller tank = 15cm.

Length of the side of the larger tank = 45cm.

Volume of smaller tank = (15)³ = 3375 cm³

Volume of larger tank = (45)³ = 91125 cm³

Ratio of the volume of the smaller tank compared to the volume of the larger tank = 3375/91125 = 1/27.

Therefore the ratio of the volume of the smaller tank compared to the volume of the larger tank is 1/27.

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The value of x is four....

................

Answer:

Step-by-step explanation:

The expression without the absolute value symbol is:

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

From the given parameters

We have,

|(x - 19) + 11|

This can be written as,

= |x - 19 + 11|

= |x - 8|

Now,

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

Thus,

The expression without the absolute value symbol is:

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

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Answer:

z = -2

Step-by-step explanation:

6z - 2 = 6 + 10z

-6z         =    -6z

Subtract 6z from both sides.

-2 = 6 + 4z

Subtract 6 from both sides.

-8/4 = 4z/4

Divide both sides by 4 to get z.

-2 = z

Part A: 15x= $810.75. Part B: x= $54.05

The total money earned from 15 tickets is $810.75.

Assume, the money earned from selling 1 ticket is $x.

Therefore, the money earned from selling 15 tickets= 15*x= 15x= $810.75

Here, the variable, i.e. the changing value, is x which is the price of each ticket. The equation hence derived is 15x= $810.75.

Using the equation above,

15x= $810.75.

Dividing both sides by 15,

We get,

x= $54.05

Hence, $54.05 is the price of each ticket.

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Answer:Min:4

              Q1:6

              Med:9.5

              Q3:12.5

              Max:17

Step-by-step explanation:

Answer:

Part A:

x > 13

Part B:

How to show this inequality on a number line is a closed circle on 13, going left of 13.

Step-by-step explanation:

Part A:

x represents the age of children who are allowed to operate the boat.

Our inequality is < because if you are of the age of 13 you are allowed to operate the boat,

the inequality x > 13 reads x (the age of children) is greater than or equal to 13

Part B:

How to describe inequalities on a number line;

Closed circle: less than or equal to - or - greater than or equal to ( < , > )

Open circle: less than - or - greater than ( < , > )

To the right of the number on the number line: greater than

To the left of the number on the number line: less than

Answer:

The temperature difference is equal to 27-(-4)=31.

Step-by-step explanation:

Answer:

31° .

Step-by-step explanation:

we need to calculate the temperature difference between 2 pm and 2 am we can get the difference by subtracting the temperature at 2 am from the temperature at 2 pm

the temperature at 2 pm is 27°  

the temperature at 2 am is -4°

the temperature difference between 2 pm and 2 am is:

27° - (-4)°  = 31°

Answer:

c

Step-by-step explanation:

so you add 12-12-43 and get 120 so ya

Answer: It's D!!

Step-by-step explanation: 1 is more than -2:)

Answer: 8 minutes.

Step-by-step explanation:

didn’t have to waste your points there was already an expert verified brainly question for this exact question

it will takes 8 minutes to catch up

Step-by-step explanation:

Answer:

Mario

Step-by-step explanation:

Sheila has a 5 dollar allowance and saved for 3 weeks. 3 x 5 = 15 dollars saved total. She spends 9 of the 15. 15 - 9 = 6, so Sheila donated 6 dollars.

Mario has a 4 dollar allowance and saves for 4 week. 4 x 4 is 16 dollars saved. He then spends 8 of them, 16 - 8 = 8 dollars donated.

Gina has a 6 dollar allowance and saves for 4 weeks. 6 x 4 is 24. She then spends 17 dollars. 24 - 17 is 7 dollars donated.

Sheila donates 6 dollars. Mario donates 8 dollars. Gina donates 7 dollars.
Out of the three, Mario has donated the most.

[tex]x+19 < 28\\x < 9[/tex]

Only [tex]\{3, 4, 5, 6\}[/tex] contains numbers less than 9.

Answer:

{3, 4, 5, 6}

Answer: A)-4, D)2, and F)5

Step-by-step explanation:

If the inputs repeat themselves it no longer becomes a function :)

Answer:

Step-by-step explanation    = 4096.25.125

                                                  2,097,152.2,560,000

                                              =  12,800,000

                                                   5,368,709,120,000

                                               = 0.000002384185791015625                                                    

Answer:

111

Step-by-step explanation:

114-3

Answer:

What I can tell is that they both share the same x coordinate. To help you understand, the horizontal line is from left to right, think of "The sun setting in the horizon.", it is often in the distance as a "left to right" line. So, I hope that helps, this leaves the vertical line as up or down.

With that out of the way, the x-axis lies on the horizontal line, whereas the y-axis lies on the vertical line.

Point coordinates are typically listed as (x, y), so... with that said, to find the distance we'll have to count downwards. As we know, negative x is to the left, negative y is further down, so... -3 to -12 is 9 points away.

Simple method: -3 - 9 = -12, or... -12 - -3 = -12 + 3 = -9.

In other words you get the basic idea, you can also just count, but whatever.