You pay $6 in tax on a $30 purchase. What is the tax percent.

Answer:

x=0, y=8. (0, 8).

Step-by-step explanation:

-6x+y=8

5x+y=8

-----------

-6x+y=8

-(5x+y)=-8

--------------

-6x+y=8

-5x-y=-8

-------------

-11x=0

x=0/-11

x=0

5(0)+y=8

0+y=8

y=8-0

y=8

Answer:

Infinite Solution

Step-by-step explanation:

Your teacher gave you a tricky one lol

NVM it's right, I doubled checked

Answer:

Step-by-step explanation:

Answer:

1. Rhombus

2. Square

Step-by-step explanation:

1. A rhombus is a quadrilateral whose four sides all have the same length and opposite sides are parallel.

From the diagram, you can see that [tex]\overline{AB}\parallel \overline{CD},\ \overline{AD}\parallel \overline{BC}[/tex] (given) and all four sides are congruent, thus this shape is a rhombus.

2. A square is a quadrilateral which has four equal sides, four equal angles (90-degree angles) and opposite sides are parallel.

From the diagram, you can see that [tex]\overline{EF}\parallel \overline{GH},\ \overline{EH}\parallel \overline{FG}[/tex] (given), all four sides are congruent, and all four angles are right angles, thus this shape is a square.

Answer:

x=0.6

Step-by-step explanation:

f(×)=3x-2 , 0=3x-2

Figure represented the line y = -3x+4

Step-by-step explanation:

Given y=-3x+4 is equation of line

In order to graph the line, we need atleast two points

Now, When x = 0, y=?

y = -3x+4

y = -3(0) +4

y = 4

Point we get A(0,4)

Now, When x = 1, y=?

y = -3x+4

y = -3(1)+4

y = -3+4 = 1

Point we get B(1,1)

On graph, Locate points A(0,4) and B(1,1)

Draw a line passing through both of the points at once.

Figure is shown for your reference.

Answer:

Irrational Number

Step-by-step explanation:

Answer:

6/15

Step-by-step explanation:

Because if you multiply top and bottom by 3 you get 6/15

2/5*3/3=6/15

Answer:

-6/125

Step-by-step explanation:

well first, the decimal is negative so automatically whatever fraction you write is going to be negative

the you look at the decimal:

-0.048

there is a 0 in the tenths place, a 4 in the hundredths place, and an 8 in the thousandths place

so that means, the fraction would be -48/1000

but since it isnt simplified, that what you have to do

both can be divided by 2

which will give you:

-24/500

but those can be divided by 2 again:

-12/250

these can also be divided by 2 again:

-6/125

since the 125 cannot be divided into 2 evenly again, this is the fraction in simplest form

The simplest form of -0.048  is -6/125.

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

The given decimal number is -0.048

Since there are 3 numbers after decimal,

Therefore,

In fractional the the number can be written as,

-0.048 = -48/1000

Divide both numerator and denominator by 8,

-0.048 = -6/125

Hence,

The simplest form of -0.048 is -6/125.

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It looks like you want to multiply the two functions. If so, then,

(h*g)(x) = h(x)*g(x)

(h*g)(x) = (x-5)*|x|

(h*g)(x) = x|x| - 5|x|

Answer:

7x-6

Step-by-step explanation:

2(4x-5)-(x-4)

8x-10-x-(-4)

8x-10-x+4

7x-10+4

7x-6

Step-by-step explanation:

2(4x-5) - (x-4)

8x-10 - (x-4)

8x-10 -x+4

7x-6

Answer:

60

Step-by-step explanation:

Answer:

$61.18

Step-by-step explanation: the first one is wrong it is $61.18

Answer:

183

Step-by-step explanation:

Add 62 and 59 to get Brians score and then add another 62 to find the combined score.

Their combined score is 183.

To find the combined score of Colin and Brian, we need to add their individual scores.

Given:

- Colin's score: 62

- Brian's score: 59 more than Colin's score

We'll find Brian's score first, then add it to Colin's score to get the combined score.

Brian's score = Colin's score + 59

[tex]\[ \text{Brian's score} = 62 + 59 \][/tex]

[tex]\[ \text{Brian's score} = 121 \][/tex]

Now, to find the combined score:

[tex]\[ \text{Combined score} = \text{Colin's score} + \text{Brian's score} \][/tex]

[tex]\[ \text{Combined score} = 62 + 121 \][/tex]

[tex]\[ \text{Combined score} = 183 \][/tex]

So, their combined score is 183.

Answer:

-34.72

Step-by-step explanation:

a + b + c = -44.84

a= 24.6

24.6 + b + c = -44.84

Since b = c (given "the other numbers are equal to each other")

Substitute b into c, we have

24.6 + b + b = -44.84 (b+b is the equivalence of 2 x b)

24.6 + 2b = -44.84 (subtract 24.6 from both sides)

2b = -69.44 (divide 2 from both sides)

b= -34.72

Since b = c  (given "the other numbers are equal to each other")

c is also -34.72

Answer:

C. 12 months

Step-by-step explanation:

If you do 339.12/29.26 it will equal to 11.589 so that's like 11 months and a half so can't be 11 months has to be 12 months

Answer:

2.07%

Step-by-step explanation:

69 percent of 3 percent = 0.0207 = 2.07%

Answer:2.07%

Step-by-step explanation:

Answer:

It's B

Step-by-step explanation:

I just took the test and got it right. :D

Using the definition of an empty set, we can see that the empty set in the options is:

{x|x ∈ U and 2x is prime}

First, we know that:

U =  {x|x is a positive integer greater than 1}.

So we can write:

U = {2, 3, ...}

Now, take in mind that if:

x ∈ U

Then x is a natural number larger than 1.

Now, if we multiply a natural number different than 1 by 2, we get:

2x

because x is a natural number larger than 1, 2x can't be a prime number (because it is divisible by 2 and by x).

Then the set that is empty is:

{x|x ∈ U and 2x is prime}

Because there is no element x in U that meets the condition that 2x must be prime.

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The 7th term of the geometric sequence described by this explicit formula [tex]a_{n}=7*3^{(n-1)}[/tex] is 5103 ⇒ answer D

Step-by-step explanation:

The explicit formula of nth term in the geometric sequence is

[tex]a_{n}=a(r)^{n-1}[/tex] , where

∵ The explicit formula of a geometric sequence is [tex]a_{n}=7*3^{(n-1)}[/tex]

∵ The explicit formula of nth term in the geometric sequence

   is [tex]a_{n}=a(r)^{n-1}[/tex]

∴ a = 7 and r = 3

∵ We need to find the 7th term

∴ n = 7

- Substitute n by 7 in the formula

∴ [tex]a_{7}=7*3^{(7-1)}[/tex]

∴ [tex]a_{7}=7*3^{(6)}[/tex]

∵ [tex]3^{(6)}=729[/tex]

∴ [tex]a_{7}=7(729)[/tex]

∴ [tex]a_{7}=5103[/tex]

The 7th term of the geometric sequence described by this explicit formula [tex]a_{n}=7*3^{(n-1)}[/tex] is 5103

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Answer:

The answer to your question is 15

Answer: the answer is 15

Hope this helps :)

Answer:

4.66666666667 or 4[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Answer:

It would be 4 2/3.

Step-by-step explanation:

Answer:

-2/11

Step-by-step explanation:

-5 1/2=-11/2

-2/11

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

The number of members in the drama club that are seventh graders is 14.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

5% = 5/100 = 1/20

We have,

Total number of members = 40

Percentage of members who is 7th graders = 35%

The number of 7th graders.

= 35% of 40

= 35/100 x 40

= 35/10 x 4

= 7 x 2

= 14

Thus,

The number of members in the drama club that are seventh graders is 14.

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Answer:

Not the commutative property but the fact that absolute value is always positive so the absolute value of x is equal to the absolute value of negative x

Step-by-step explanation:

Answer:

k=-8/3

Step-by-step explanation:

10k-7=7k-15

10k-7k-7=-15

3k-7=-15

3k=-15+7

3k=-8

k=-8/3

Mrs. Wadley bought 15 white shirts and 3 black shirts.

Step-by-step explanation:

Cost of one white shirt = $4

Cost of one black shirt = $5

Students in class = 18

Money spent on shirts = $75

Let,

white shirts = x

black shirts = y

According to given statement;

x+y=18     Eqn 1

4x+5y=75   Eqn 2

Multiplying Eqn 1 by 5;

[tex]5(x+y=18)\\5x+5y=90\ \ \ \ Eqn\ 3[/tex]

Subtracting Eqn 2 from Eqn 3;

[tex](5x+5y)-(4x+5y)=90-75\\5x+5y-4x-5y=15\\x=15[/tex]

Putting x=4 in Eqn 1

[tex]15+y=18\\y=18-15\\y=3[/tex]

Mrs. Wadley bought 15 white shirts and 3 black shirts.

Keywords: linear equation, subtraction

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Answer:

x + 1 + 4√(x-3)

Step-by-step explanation:

Given: [tex]$ (\sqrt{x - 3} + 2)^2 $[/tex]

We know that:  (a + b)² = a² + b² + 2ab

Using this formula, we expand the given expression:

⇒ [tex]$ (\sqrt{x - 3} + 2)^2  = (\sqrt{x - 3})^2 + 2.\sqrt{x - 3}. 2 + 2^2 $[/tex]

⇒ [tex]$ x - 3 +4\sqrt{x - 3} + 4 $[/tex]

⇒ [tex]$ (\sqrt{x - 3} + 2)^2 $[/tex] = x + 1 +4√(x - 3).

Answer:

x=101/65, y=-16/65. (101/65, -16/65).

Step-by-step explanation:

4x+9y=4

9x+4y=13

----------------

9(4x+9y)=9(4)

-4(9x+4y)=-4(13)

------------------------

36x+81y=36

-36x-16y=-52

----------------------

65y=-16

y=-16/65

4x+9(-16/65)=4

4x-144/65=4

4x=4+144/65

4x=404/65

x=(404/65)/4=101/65

x=101/65, y=-16/65.

Answer:

C = 6 + 1.5h.

$6 is the fixed fee that the park charges.

And $1.5 is the rate of charge per hour for rent of the raft.

Step-by-step explanation:

The water park charges a rental fee plus $1.5 per hour to rent inflatable rafts.

Let the total charge (C) has a linear relationship with the number of hours (h) spent in the park and it is C = a + bh ......... (1)

Now, b is the rate of charge to rent inflatable rafts and b = $1.5 per hour.

So, C = a + 1.5h ........... (2)

Now, given that the total cost to rent a raft for 6 hours is $15.

So, from equation (2) we get,

15 = a + 1.5 × 6

⇒ a = 6

Therefore, the equation (2) becomes C = 6 + 1.5h.

Here, $6 is the fixed fee that the park charges.

And $1.5 is the rate of charge per hour for rent of the raft. (Answer)

Answer:

A. f(2k)=0

Step-by-step explanation:

The factor theorem states that a polynomial f(x) has a factor (x−k) if and only if f(k)=0 (i.e. k  is a root).

If (x – 2k) is a factor of f(x), then by the factor theorem f(2k)=0 (i.e. 2k is a root).

Option A is true, f(2k)=0

Option B is false, it should be like in option A, f(2k)=0

Option C is false, because x=2k is a root, not x=-2k

Option D is false, because x-intercept of f(x) is x=2k, not y-intercept.

Answer:

A. f(2k) = 0

Step-by-step explanation:

Answer:

8.67

Step-by-step explanation:

-9t+18= -60

60+18=9t

78=9t

t= 78/9

=8.66

Answer:

1 month

Step-by-step explanation:

249 is the amount she spends for buying the kitten, (299-50=249) which she only has to pay once.

20 is the amount she has to spend every month, the rate of change.

The problem can be modeled with the general equation:

y = 20x + 249

In this equation, x the the time in months and y is the amount of money spent.

Substitute 250 for y.

y = 20x + 249

250 = 20x + 249    <= isolate x to get the number of months

1 = 20x

x = 1/20

Carol will only spent money every month, not for 1/20 of a month.

It will only take Carol 1 month to spent $250.

Check answer:

Substitute x for 1

y = 20x + 249

y = 20(1) + 249

y = 269

269 is more than 250 already.

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