The price of a car was decreased by 10% to £729. What was the price before the decrease?

Answer:

60

Step-by-step explanation:

Answer:

$61.18

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

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.

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:

The answer to your question is 15

Answer: the answer is 15

Hope this helps :)

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:

x=0.6

Step-by-step explanation:

f(×)=3x-2 , 0=3x-2

Answer:

8.67

Step-by-step explanation:

-9t+18= -60

60+18=9t

78=9t

t= 78/9

=8.66

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, 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:

2.07%

Step-by-step explanation:

69 percent of 3 percent = 0.0207 = 2.07%

Answer:2.07%

Step-by-step explanation:

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:

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:

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:

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.

Hey! How are you? My name is Maria, 19 years old. Yesterday broke up with a guy, looking for casual sex.

Write me here and I will give you my phone number - *pofsex.com*

My nickname - Lovely

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:

5 are left over

The drawing will help

Answer:

B

Step-by-step explanation:

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:

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

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:

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)

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:

-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:

[tex]\frac{1}{15}[/tex]

Step-by-step explanation:

In probability,

"AND" means "multiplication"

"OR" means "ADDITION"

We want probability of Blue Pen and Yellow Highlighter. So we find individual probabilities and "MULTIPLY" them.

Let P(b) be probability of blue pen

Let P(y) be probability of yellow highlighter

We know probability of event is that event divided by total number of that

So,

There are 4 + 2 = 6 pens

Blue pen = 2

Hence,

P(b) = 2/6 = 1/3

And,

There are 5 highlighters

Yellow highlighter = 1

Hence,

P(y) = 1/5

Now,

P(b and y) = 1/3 * 1/5 = 1/15

Hence,

probability of grabbing blue pen and a yellow highlighter is  [tex]\frac{1}{15}[/tex]

Answer:

2/15

Step-by-step explanation:

Answer:

-2/11

Step-by-step explanation:

-5 1/2=-11/2

-2/11

Answer:

Irrational Number

Step-by-step explanation:

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:

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).

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:

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: