What is ⅕ x ¾ equal too.

Answer:

86.

Step-by-step explanation:

nth term = a1 + d(n - 1) so here we have:

12the term = -2 + 8( 12 - 1)

= -2 + 88

= 86.

Answer: 3 Sets of the 4 post cards and 3 of the single post cart sets.

Step-by-step explanation:

You buy 3 of the 4 post card set becuase that is the most you can get of those to get under 15 post cards.

You would now have 12 postcards now you have to buy 3 of the single set to get to 15 cards

Answer:

(x-30)/(3x-10)

Step-by-step explanation:

[tex] \frac{(x + 3)(x - 30)}{(x + 3)(3x - 10)} = \\ \frac{x - 30}{3x - 10} [/tex]

Answer:

9). x = 36.9°

10). x = 18.3°

Step-by-step explanation:

9). By applying tangent rule in the given triangle,

   tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

   tan(x) = [tex]\frac{9}{12}[/tex]

   x = [tex]\text{tan}^{-1}(\frac{3}{4})[/tex]

   x = 36.87°

   x = 36.9°

10). By applying sine rule in the given triangle,

   sin(x) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

   sin(x) = [tex]\frac{11}{35}[/tex]

   x = [tex]\text{sin}^{-1}(\frac{11}{35})[/tex]

   x = 18.32

   x ≈ 18.3°

Answer:

1/8

Step-by-step explanation:

AB,AA,BB,BB,BB,BB,BB,BB,

*A IS THE students that forgot thier lunch

Answer:

Volume of cube = 125 cm³

Step-by-step explanation:

Given:

Side of cube = 5 cm

Find:

Volume of cube

Computation:

Volume of cube = side³

Volume of cube = 5³

Volume of cube = 125 cm³

Answer:

The answer is 20

Step-by-step explanation:

In ratio what you do one side you do on the other side 5:4=25:20

5×5=25

4×5=20

Median is the middle value.

Each set has 7 numbers so put the numbers in order from smallest to largest. The median would be the 4th number in the sets.

Only 2 sets have the number 15 in them so those are the only two you need to look at.

The 3rd choice is the correct answer.

Answer:

a)

the probability that Celia is first in line is 1/n.

b)

the probability that Celia is first in line and Felicity is last in line is 1/n(n-1)

c)

the probability that Celia and Felicity are next to each other in the line is 2/n

Step-by-step explanation:

Given the data in question;

a) Celia is first in line?

the total ways are; n! to place n kids in n places in orderly fashion.

now, if Celia is the first kid, we have to order remaining n-1 kids

(n-1)! / n! = 1/n

therefore, the required probability is 1/n.  

b)  Celia is first in line and Felicity is last in line?

the total ways are; n! to place n kids in n places in orderly fashion,

now, if Celia is the first and Felicity is the last kid, we order the remaining n - 2 kids, which can be done in (n-2)!

(n-2)! / n! = 1 / n(n-1)

therefore, the required probability is 1 / n(n-1)

c) Celia and Felicity are next to each other in the line

the total ways are; n! to place n kids in n places in orderly fashion,

now, if Celia and Felicity as single object, so that they can be put together, we arrange n-1 objects which can be done in (n-1)! ways.

But also these 2 can change the place so in total there are 2(n-1)! ways.

2(n-1)! / n! = 2/n

Therefore, the required probability is 2/n

Answer:

Original Price was $27.00

Step-by-step explanation:

27*.30=8.10

Answer:

Creo que $1,280

Step-by-step explanation:

12,000+800=12,800

12,800 x 10% =1,280

Answer: B.) I and II

Step-by-step explanation: remember doing this in like- middle school so you're welcome! it should be the right answer(:

Answer:

i think you cn use frction

Answer:

Blue square = x²

Orange square = 6x

Yellow square = 4x

White square = 24

The key features of the quadratic function are

From the question, we have the following parameters that can be used in our computation:

y = -x² + 4x - 3

A quadratic function is represented as

y = ax² + bx + c

By comapring the equations, we have

a = -1, b = 4 and c = -3

For the key features

Axis of symmetry: x  = -b/2a

So, we have

x  = -4/(2 * -1)

x  = 2

The domain of the function is the set of all real values

For the vertex, we have

(h, k) = (symmetry, f(symmetry))

So, we have

y = -2² + 4(2) - 3

y = 1

So, the vertex is (2, 1)

Read more about quadratic equation at

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Answer:

function

Step-by-step explanation:

y = 6x^2 +x+7

This is an upward facing parabola

This relation will pass the vertical line test.

This relation is a function

Answer:

Hope this helps!!!! ;)

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

20 percent of 150 is 30.

To check the answer... 150 times 0.2 is 30.

Answer:

150

20 percent of what number equals 30; Answer: 150.

Step-by-step explanation:

20% of what is 30?

Written using the formula: X = 30 ÷ 20%

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 30 ÷ 0.2.

X = 150.

So 20% of 150 is 30.

Answer:

y=4

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation

x=2 is where you could fold the quadratic function and have the sides overlap perfectly

Answer:

b

Step-by-step explanation:

Answer:

$2100

Step-by-step expla35 x 4 = 140 140 x 15 =  2100

Answer:

5

Step-by-step explanation:

First,let find the area of AMY. It is given that

Am=5

MY=7

AY=3

We can add up those numbers to find the perimeter.

5+7+3=15.

2. Since AMY and MEG are similar shapes, there side lengths are proportional, and their perimeter is also proportional.

The only transformation that can accomplish that is a dilation.

MEG is a dilation of AMY by 1/3. so that means MEG is 3 times smaller than AMY.

We would just divide 3 by the perimeter of AMY to find MEG.

[tex] \frac{15}{3} = 5[/tex]

Answer: y= 4

x = 8

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

the 35 degrees in blue and the orange x angle are corresponding angles

The number of oranges in the shipment can the manager predict weighing 5 ounces would be; 56.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inversely proportional, can be built to find the desired measures in the problem.

Given that a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh in that sample 2 oranges weigh 5 ounces.

Now set up a proportion;

2/25 = (x)700

Cross multiplication;

700(2)= 25(x)

1400/25=x

x=56

Therefore, the number of oranges in the shipment can the manager predicts weighing 5 ounces would be; 56.

More can be learned about proportions at;

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