Simplify
8c^3d^2
4cd^2

Answer:

8,181 ft^2

Step-by-step explanation:

Area of the parking lot = Area of the whole structure - Area of the building

The building is a square of 12cm by 12cm

which is 72ft by 72ft since 1 cm is 6 ft

its area is thus 72 * 72 = 5,184 ft^2

The structure measures 16.5 cm by 22.5 cm

Multiplying the sides by 6, we have 99 ft by 135 ft

So its area is 99 * 135 = 13,365 ft^2

The area of the parking lot = 13,365 - 5,184 =

8,181 ft^2

Answer:

Option (3). (5, 9.2)

Step-by-step explanation:

If Point P divides the line segment QR in the ratio of m : n.

Let the coordinates of the point P are (x, y)

Since coordinates of the point P are given by,

x = [tex]\frac{m(x_2)+n(x_1)}{m+n}[/tex]

y = [tex]\frac{m(y_2)+n(y_1)}{m+n}[/tex]

Where [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] are the ordered pairs representing points Q and R.

If [tex](x_1,y_1)[/tex] represents (2, 5) and [tex](x_2,y_2)[/tex] represents (7, 12),

Coordinates of point P(x, y) which divides the segment in the ratio of 3:2.

x = [tex]\frac{3(7)+2(2)}{3+2}[/tex]

x = [tex]\frac{25}{5}=5[/tex]

y = [tex]\frac{3(12)+2(5)}{3+2}[/tex]

y = [tex]\frac{46}{5}=9.2[/tex]

Therefore, Point P will be represented by (5, 9.2)

Option (3) will be the answer.

QUESTION; Rudolfo has 15 toys in his toy box, and he adds 2 new toys every month. Based on this information, which representation best shows this relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passes, x?

Answer:

Hello dear, your question is not complete (because you did not input the representations) but not to worry the representation can be found in the attached picture.

Thus , option C(third representation) is the correct answer.

Step-by-step explanation:

NB: kindly check attached file/picture for the pictures showing the representation in the question above.

From the question above we are given the following parameters or information or data;

=> RuRodolfo has 15 toys in the toy box and he had two new toys every month.

=> "The representation that best shows te relationship between the number of toys Rodolfo has in his toy box, y, and the number of months that have passes, x" will be option C because;

2 × 15 = 30. Therefore, RuRodolfo has 30 toys are the end of the month.

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

D. The slope is 7, and (2, -4) is on the line.

Step-by-step explanation:

y+4=7(x-2)

y+4=7x-14

Subtract 4 from both sides

y=7x-18

The slope is 7. (y=mx+b, m is the slope, b is the y-intercept)

(0, -18), (1, -11), (2, -4), (3, 3), (4, 10) are points on the line.

The answer that is true out of all of them is D. The slope is 7, and (2, -4) is on the line.

Answer:

Step-by-step explanation:

We can find out by using synthetic division and the fact that x - 9 Might be a 0. If x = 9 is a 0 of that polynomial, then we will get no remainder when we divide the polynomial by 9:

9 |   1     -5     7

____________

First thing to do is bring down the 1 and multiply it by the 9 and put that product up under the -5:

9 |  1     -5     7

______9____

     1

Now add down the column to get:

9 |  1   -5    7

_____9____

     1    4

Now multiply 4 by 9 and put that product up under the 7:

9 |   1    -5     7

______9__36

      1     4

Now add to see what the remainder is:

9 |   1     -5     7

_______9_36

      1      4    R43

we have a remainder of 43. Since it is not a 0, then the polynomial is not evenly divisible by x - 9.

So the answer is No.

Answer:

4(2x-3)

Step-by-step explanation:

Let the number be x

⇒ Multiplying by 2 makes it 2x

⇒ Subtracting 3 makes it 2x-3

⇒ Multiplying the whole by 4 gives 4(2x-3)

Answer:

77.4

Step-by-step explanation:

The first term, a, of the series is 3.

It is a geometric progression, so we can calculate the common ratio, r:

3.75 / 3 = 1.25

The sum of n terms of a geometric progression is given as:

[tex]S = \frac{a(1 - r^n)}{(1 - r)}[/tex]

where n =  number of terms considered

The sum of the first 9 terms will therefore be:

[tex]S_9 = \frac{3(1 - 1.25^9)}{(1 - 1.25)} \\\\S_9 = \frac{3(1 - 7.45)}{-0.25}\\ \\S_9 = \frac{3 * -6.45}{-0.25}\\ S_9 = \frac{-19.35}{-0.25}\\ \\S_9 = 77.4[/tex]

Answer:  24

Step-by-step explanation:

You have 4 balloons to choose from.  

Once you have chosen a balloon, there are 3 remaining to choose from.  When you choose another balloon, there are only 2 remaining.

First pick   and    Second pick    and   Third pick

     4           x        3 remaining      x       2 remaining      =  24

Answer:

Step-by-step explanation:

Using set notation to answer the question. let:

n(U) be the total people in a sport centre =130

n(G) be number of people that use the gym.  = 76

n(P) be number of people that use the swimming pool. = 60

n(T) be number of people that use the track = 32

n(G∩P) be number of people that uses the gym and the pool = 23

n(P∩T) be number of people that uses the  pool and the track = 8

n(G∩T) be number of people that uses the gym and the track = 320

n(G∩P∩T) be number of people that uses all three facilities = 6

Using the relationship below;

n(U)= n(GUPUT)+n(GUPUT)'

where n(GUPUT)' is the number of people that doesn't use any facility.

Before we can get that, we need to know n(GUPUT) using the formula;

n(GUPUT) = n(G) + n(P)+n(T)-n(G∩P)-n(P∩T)-n(G∩T)+n(G∩P∩T)

n(GUPUT) = 76+60+32-23-8-20+6

n(GUPUT) = 123

n(GUPUT)' = n(U)- n(GUPUT)

n(GUPUT)' = 130 - 123

n(GUPUT)' = 7

This means that 7 person doesn't use any facility.

Probability that a person selected at random doesn't use any facility = n(GUPUT)' /n(U) = 7/130

Answer:

A=61.8\ units^2

Step-by-step explanation:

Answer:

x< -8

Step-by-step explanation:

To solve the inequality, we must get x isolated.

-1/2x>4

We have to perform the inverse operation to both sides. x is being multiplied by -1/2. The inverse of multiplication is division. Divide both sides by -1/2.

-1/2x / -1/2 > 4/ -1/2

When dividing by fraction, you can also multiply by the reciprocal.

To find the reciprocal, flip the numerator and the denominator.

-1/2–> -2/1

-2/1 *-1/2x > 4* -2/1

x> 4* -2/1

When multiplying or dividing by a negative number in an inequality, you must flip the inequality sign.

x < 4* -2/1

x < 4*-2

x< -8

Answer:

At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.

At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.

Step-by-step explanation:

Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.

We know that the sum of interior angles equals 180°.

So, a + b = 180°

a + 14a = 180°

15a = 180°

a = 180/15

a = 12°

At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°

The angle vertically opposite to a is d = a = 12°

The angle vertically opposite to a is b = e = 168°

At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°

the angle vertically opposite to angle b is g = b = 168°

the angle vertically opposite to f is h = 12°

Given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:

m<1 = 12°

m<2 = 168°

m<3 = 168°

m<4 = 12°

m<5 = 12°

m<6 = 168°

m<7 = 168°

m<8 = 12°

Applying the knowledge of ratio, transversal and parallel lines, we can determine the measures of all 8 angles that are formed when a transversal intersects two parallel lines as shown in the image attached below.

Let < 1 and < 6 be the two same-side interior angles whose measures are in the ratio, 1:14.

Thus:

Recall:

Same-side interior angles are always supplementary. That is,

m<1 + m<6 = 180 degrees.

Let's apply ratio to find the measure of <1 and <6.

[tex]m \angle 1 = \frac{1}{1 + 14} \times 180\\\\m \angle 1 = \frac{1}{15} \times 180\\\\m \angle 1 = 12^{\circ}[/tex]

[tex]m \angle 6 = \frac{14}{1 + 14} \times 180\\\\m \angle 6 = \frac{14}{15} \times 180\\\\m \angle 6 = 168^{\circ}[/tex]

Since we know the measure of <1 and <6, we can find the measure of others as follows:

In conclusion, given that the same-side interior angles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:

m<1 = 12°

m<2 = 168°

m<3 = 168°

m<4 = 12°

m<5 = 12°

m<6 = 168°

m<7 = 168°

m<8 = 12°

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Answer:

Congruent triangles have the same perimeter so the answer is 13.

Answer:

g(x) = [tex]8(\frac{1}{2})^x[/tex]

Step-by-step explanation:

Let the equation of the graphed exponential function is,

g(x) = [tex]a(b)^x[/tex]

Two points (0, 8) and (1, 2) lie on this graph.

For (0, 8),

g(0) = [tex]a(b)^0[/tex]

8 = a(1)

a = 8

For other point (1, 2),

g(1) = [tex]a(b)^1[/tex]

2 = ab

2 = 8b

b = [tex]\frac{2}{8}[/tex]

b = [tex]\frac{1}{4}[/tex]

Therefore, given exponential function wiil be,

g(x) = [tex]8(\frac{1}{2})^x[/tex]

Answer:

8⋅(1/4)^x

Step-by-step explanation:

trust me thats the answer

Answer:

10 3/25

Step-by-step explanation:

46/100x22 =46x22 divide by 100

1012/100

10 12/100 both twelve and hundred can be divided by 4 thus final answer is ten whole(10) and three over twenty five(3/25)

Answer:

  {0, undefined}

Step-by-step explanation:

There are 10 unique letters in the expression, so each one must stand for a different digit. Assuming the digits are multiplied as indicated, the digit 0 must appear in either the numerator or the denominator.

If 0 appears in the numerator, the value of the fraction is 0.

If 0 appears in the denominator, the value of the fraction is "undefined."

The only possible values of this fraction are {0, undefined}.

Answer:

y = x² - 4x

x = -1 y = 5

x = 0 y = 0

x = 1 y = -3

x = 2 y = - 4

x = 3 y = - 3

x = 4 y = 0

x = 5 y = 5

Hope this helps.

The equivalent values to complete the table are 5, -1, -4 and 0

Given the function according to the table shown:

[tex]y= x^2 - 4x[/tex]

When x = -1

[tex]y= (-1)^2 - 4(-1)\\y=1+4\\y=5[/tex]

When x = 1

[tex]y= (1)^2 - 4(1)\\y=1-4\\y=-3[/tex]

When x = 2

[tex]y= (2)^2 - 4(2)\\y=4-8\\y=-4[/tex]

when x = 4

[tex]y= (4)^2 - 4(4)\\y=16-16\\y=0[/tex]

Hence the equivalent values to complete the table are 5, -1, -4 and 0

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Answer:

52 tickets cost $10 and 18 tickets cost $12

Step-by-step explanation:

10x+12y=804. (1)

x+y=70. (2)

From (2)

x=70-y

Substitute x=70-y into (1)

10x+12y=804

10(70-y)+12y=804

700-10y+12y=804

700+2y=804

2y=804-700

2y=104

y=104/2

y=52

Recall

x+y=70

x+52=70

x=70-52

x=18

52 tickets cost $10 and 18 tickets cost $12

By solving a system of equations we will see that the correct option is A.

First, let's define the variables:

First, we know that 70 tickets were sold, so:

x + y = 70

And we know that they reached $804, then we have:

x*$10 + y*$12 = $804

Then our system is:

x + y = 70

x*$10 + y*$12 = $804

To solve this, we first need to isolate one of the variables in one of the equations, I will isolate x on the first equation:

x = 70 - y

Now we can replace that in the other equation to get:

(70 - y)*$10 + y*$12 = $804

$700 - y*$10 + y*$12 = $804

$700 + y*$2 = $804

y*$2 = $804 - $700 = $104

y = $104/$2 = 52

So, 52 $12 tickets were sold, then the other 18 tickets were $12, so the correct option is A.

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Answer:

9/2 or 4.5

Step-by-step explanation:

3/4 divided by 1/6 changes into multiplication and you switch one of the denominators

it becomes 3/4 times 6/1 which is 18/4 when simplified, it's 9/2

Answer:

9/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

3 min 20 seconds = 3*60 + 20 = 180 +20 = 200 seconds

2 min 44 seconds = 2*60 + 44 = 120 + 44 = 164 seconds

Improvement = 200 - 164 = 36 seconds

Percentage =(36/200) *100

                  = 18 %

Answer:

264 pounds

Step-by-step explanation:

Write the question in the form of a ratio:

Natasha: Krutika: Jim

1:3:6

Now, we divide the amount of 880 in the ratio.

there are 10 parts in total.

1 part = 880 divided by 10 = 88.

since Krutika gets 3 parts, she gets 88 x 3 = 264

Answer:

(f+g)(x) = x²+5x-14 + (x-2)

           = x²+5x-14+x-2 = x²+6x-16

(f-g)(x) = x²+5x-14 - (x-2)

          = x²+5x-14 - x+2

          = x²+5x-14-x+2 = x²+4x-12

Answer:

The area of the 5m by 8m is 40 I don't know what you want with the other numbers but this is for the sentence

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Did da test

Answer:

the digit farthest to the left

Answer:

The digit farthest to the left.

Step-by-step explanation:

I hope this helps

Answer: y= 5, 10, 15, 20, 25

Step-by-step explanation:

1, 2, 3, 4, and 5 each are 1 number apart

5, 10, 15, 20, 25 each are 5 numbers apart

the rate of change is 1/5

Answer:

40 kids traveled in each bus

hope this helped

Step-by-step explanation:

230- 22= 208

208-8= 200

200÷5 =40

Answer:

40 students road on each bus

Step-by-step explanation:

230-22=208

208-8=200

200÷5=40

Answer:

4

Step-by-step explanation:

No greater number than 4 can be x because otherwise it'll be equal to or more than 5

The largest possible value x could take given that it must be an integer of x < 5 is; x = 4

We first have to understand the meaning of integers.

Integers are defined as whole numbers which could be positive or negative or even zero.

Now, we want to find the highest possible integers that are less than 5 from;

x < 5

Now, the first integer lower than 5 will be the highest possible one. That integer is 4.

Thus, x = 4.

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