At a local school, 940 students each wrote 40 letters to students in another country. How many letters were written in all?

Answer: $27,560

Step-by-step explanation:

Formular for simple interest = PRT

P= 26,000

R=3% = 3/100 = 0.03

T= 2

26,000 x 0.03× 2

= 1,560

Ending balance will be 26,000 + 1,560

= $27,560

Answer:

(a) Li and K belongs to the same group.

(b) Mg has the tendency to lose two electrons.

(c) C prefers sharing of electrons to complete its octet.

(d) K is the most metallic element.

(e) S forms acidic oxide.

(f) Al belongs to group 13.

_______________________

(a) Li and K belongs to the same group. (Group 1)

(b) Mg has the tendency to lose two electrons because it has 2 ions in it's outermost shell

(c) C prefers sharing of electrons to complete its octet because it has 6 ions in it's outermost shell need 2 ions to complete octet

(d) K is the most metallic element.

(e) S forms acidic oxide.

(f) Al belongs to group 13.

A fifth of 25 students would be 5 (25/5).

Four-fifths of the students would be the result of (25/5) multiplied by 4.

(25/5)*4

5*4

= 20; 20 students like football.

Answer:

20

Step-by-step explanation:

25 divided by 5 equals 5 then 5 times 4 to get 4/5 which is 20

Answer: product

Step-by-step explanation:

product means that you are multiplying

[tex]\pi r * r = \pi r^{2}[/tex]

Answer:

-216

Step-by-step explanation:

(−3x − 6)(3x2 − 6x + 3)

=(18)(6 − 6x + 3)

=(18)(6 − 18)

=(18)(− 12)

= -216

Answer:

-9 • (x + 2) • (x - 1)2

Step-by-step explanation:

(-3x-6)(3x2-6x+3)  

Final result :

 -9 • (x + 2) • (x - 1)2

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (-3x - 6) • ((3x2 -  6x) +  3)

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  -3x - 6  =   -3 • (x + 2)  

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  (3x2 - 6x + 3)  =   3 • (x2 - 2x + 1)  

Trying to factor by splitting the middle term

4.2     Factoring  x2 - 2x + 1  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -2x  its coefficient is  -2 .

The last term, "the constant", is  +1  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 1 = 1  

Step-2 : Find two factors of  1  whose sum equals the coefficient of the middle term, which is   -2 .

     -1    +    -1    =    -2    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -1  and  -1  

                    x2 - 1x - 1x - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x-1)

             Add up the last 2 terms, pulling out common factors :

                    1 • (x-1)

Step-5 : Add up the four terms of step 4 :

                   (x-1)  •  (x-1)

            Which is the desired factorization

Multiplying Exponential Expressions :

4.3    Multiply  (x-1)  by  (x-1)  

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (x-1)  and the exponents are :

         1 , as  (x-1)  is the same number as  (x-1)1  

and   1 , as  (x-1)  is the same number as  (x-1)1  

The product is therefore,  (x-1)(1+1) = (x-1)2  

Final result :

 -9 • (x + 2) • (x - 1)2

Answer:

Each CD cost $20.50

Step-by-step explanation:

You would divide the cost of the DVDs by 4: 164÷4=41

Now the CDs are half the cost of the DVDs so you would divide 41 by 2: 41÷2=20.50

Your answer would be $20.50

Answer:

slope is 9

Step-by-step explanation:

y2-y1 over x2-x1 so you would do -8-10 over 2-4 which would be -18 over -2 and the you devide -18 devided by -2 and you get your answer and it is 9

Answer: 320 , 112, 432

Step-by-step explanation:

Volume of Rectangular Prism= 4 * 8 * 10

= 32*10

= 320 ft cubed

Volume of triangular prism= 4 * 7 * 8

= 28 * 8

= 224

= 224 divided by 2

= 112

Volume of composite= 112 + 320

=  432

Answer: $822,000

Step-by-step explanation:

Median of even numbers is the average of the two middle numbers

Median = $764,000 + $880,000 ÷ 2

= $1,644,000/2

= $822,000

The perimeter of the isosceles triangle is C) 32 units.

Step-by-step explanation:

Step 1; First, we plot the three ends of the triangle. Assume the bottom left is A, the bottom right is B and the top end is C. The coordinates are;

A = (-6, -2), B = (6, -2) and = C (0, 6). A triangle's perimeter is the sum of its three side lengths. So we need to determine the side lengths of the given sides.

Step 2; To find the distance between A (-6, -2) and B (6, -2), we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

Distance between (-6, -2) and (6, -2) where (-6, -2) is (x1, y1) and (6, -2) is        (x2, y2).

Distance = √ (6 - (-6))² + (2 - (-2))² = √ 12² + 0² = √12² = 12 units.

Step 3; To find the distance between C (0, 6) and B (6, -2), we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

Distance between (0, 6) and (6, -2) where (0, 6) is (x1, y1) and (6, -2) is         (x2, y2).

Distance = √ (6 - 0)² + (-2 - 6)² = √ 6² + 8² = √36 + 64 =√100 = 10 units.

Step 4; To find the distance between C (0, 6) and A (-6, -2), we use the formula

Distance = √ (x2 - x1)² + (y2 - y1)².

Distance between (0, 6) and (-6, -2) where (0, 6) is (x1, y1) and (-6, -2) is        (x2, y2).

Distance = √ (-6 - 0)² + (-2 - 6)² = √ 6² + 8² = √36 + 64 =√100 = 10 units.

Step 5; The perimeter of the triangle = 12 + 10 + 10 = 32 units, which is option C.

1. Use the Multiplication Distributive Property: (xy)^a = x^a y^a

3√6 3√x √y^2

2. Use this rule: (x^a)^b = x^ab

3√6 3√xy^2/3

Answer:

The answer is: -1, -3/4, -5/8, -1/20

Answer: .

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I did the usatestprep

Answer:

Step-by-step explanation:

5/8

Answer:

[tex] {8}^{3} \: \: eight \: exponent \: 3 \: or \: eight \: raised \: to \: the \: power \: 3[/tex]

Step-by-step explanation:

[tex] {8}^{3} \: \: eight \: exponent \: 3 \: or \: eight \: raised \: to \: the \: power \: 3[/tex]

The required dimensions of the hut base will be 8 by 12 m.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

Where W is the width of the rectangle  and L is the length of the rectangle

We have been given that Rishi is making a map of a remote village. In this village, each hut has a rectangular base measuring 4 m by 6 m.

Move the points on the grid below to draw the base of one of the huts described above.

As shown in the above figure, just move the top two points down two spaces. Two sides take up four, and the other two take up six. we can find that the length of the hut base is 12 m and the width 8 m.

Therefore, the required dimensions of the hut base will be 8 by 12 m.

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Answer:  48/10 , if you need it simpflity then its 4 and four fifths ( 4 4/5 )    

Answer: x = -2.

Step-by-step explanation:

Answer: x= -2

Step-by-step explanation: Add three to both sides

Answer:

$5.99

Step-by-step explanation:

In this problem, Doug paid the following amount for the dinner:

[tex]p=\$39.95[/tex]

He also left a 15% tip.

Here we want to calculate what is the amount correspondant to the tip.

In order to find this value, we have to calculate the 15% of the value of the dinner, therefore we want to find

the 15% of 39.95$

The percentage (15%) can be rewritten as fraction:

[tex]15\% =\frac{15}{100}[/tex]

Therefore, the amount of the tip is

[tex]t=\frac{15}{100}p[/tex]

And substituting p, we find:

[tex]t=\frac{15}{100}(\$39.95)=\$5.99[/tex]

So, the tip is $5.99.

Answer: 5.99

Step-by-step explanation:

Change % to decimal

Then multiply

15% =.15

39.95 x .15 = 5.99

Answer:

3

Step-by-step explanation:

⇒15x-20=5y

⇒(15x-20)/5=y

⇒3x

The rate of change of the function is 3

To find the rate of change of the function 15x - 5y = 20, we need to solve for y in terms of x and then determine the coefficient of x, which represents the rate of change.

Let's solve the equation for y:

15x - 5y = 20

Subtract 15x from both sides:

-5y = -15x + 20

Divide both sides by -5:

y = (15/5)x - 4

Simplifying the equation:

y = 3x - 4

Now we can observe that the coefficient of x is 3. Therefore, the rate of change of the function is 3. This means that for every unit increase in x, the corresponding y-value increases by 3.

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Answer:

9^2= (x+2)^2+(y+8)^2

Step-by-step explanation:

The equation is r^2=(x+h)^2+(y-k)^2

Answer:

x2+y2-4x+16y-13

Step-by-step explanation:

center (h,k)=2,-8

radius(r)=9

we know

(x-h)2+(y-k)2=r2

now insert above given information

(x-2)2+(y+8)2=9×9

Answer:

Step-by-step explanation:

Answer:

x = 1/2, See Explanation Below

Explanation:

When you solve the equation, you have to take out the 6 first. The mistake is that you Marisol subtracted from 3 directly instead of factoring the x and the 3 out. Below is what you are supposed to do in order to get the right solution.

Step-by-step for Equation:

6(x+3) = 21

6x + 18 = 21

6x = 21 - 18

6x = 3

x = 3/6

x = 1/2

I hope this helps! If you are kind enough, please give me the brainliest answer. It is greatly appreciated if so. Thank You!

Answer:

y = 2x + 23

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (- 8, 7) into the partial equation

7 = - 16 + c ⇒ c = 7 + 16 = 23

y = 2x + 23 ← equation of line

Answer:

y=mx+c

y=2x+c

Y intercept(c) 23 - to find y we have to input the values

7=2*-8+c

7=-16+c

23=c

Answer:

-1

Step-by-step explanation:

4x-1=-4

-4+3=-1

The value of h(-1) is -1 after plugging the value of x = -1 in the function h(x) = 4x + 3 the answer is -1.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function h(x) = 4x + 3

Plug x = -1 in the above function:

h(-1) = 4(-1) + 3

h(-1) = -4 + 3

h(-1) = -1

The linear function can be defined as the relation between two variables, if we plot the graph of the linear function we will get a straight line.

If in the linear function, one variable is present, then the function is known as the linear function in one variable.

Thus, the value of h(-1) is -1 after plugging the value of x = -1 in the function h(x) = 4x + 3 the answer is -1.

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Answer:  sowwy if im wrong

Expanded Numbers Form:

50

+6

+0

+0.01

Step-by-step explanation:

Expanded Numbers Form:

50

+6

+0

+0.01

Expanded Factors Form:

5*10

+6*1

+0*0.1

+1*0.01

Expanded Exponential Form:

5*101

+6*100

+0*10-1

+1*10-2

The expanded form of 56.01 is 50 + 6 + 0.01.

To write the decimal 56.01 in expanded form, we break down each digit's place value.

56.01 can be expressed in expanded form as follows:

50 + 6 + 0.01

The place values are as follows:

50 (50 is in the tens place, and we can also write it as 5 * 10)

6 (6 is in the ones place, and it is just 6)

0.01 (0.01 is in the hundredths place, and we can also write it as 1/100)

So, the expanded form of 56.01 is 50 + 6 + 0.01.

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Answer:

s = 5

Step-by-step explanation:

2m + 4s = 16

Step 1:  Plug in -2 for m

2(-2) + 4s = 16

-4 + 4s = 16

Step 2:  Solve for s

-4 + 4s + 4 = 16 + 4

4s / 4 = 20 / 4

s = 5

Answer: s = 5

Answer:

s= 5

Step-by-step explanation:

s= 5

m= - 2

2m + 4s= 16

Replace the m with the value it is in brackets. Remember brackets mean to multiply.

2(-2) + 4s= 16

-4 + 4s= 16

Carry over the -4 and make s the subject.

4s= 16 - - 4

4s= 16 + 4

4s= 20

s= 20/4

s= 5

Therefore s= 5

To check if the answer was correct, replace the s and m with the value it is in brackets. s= 5; m= 2

2(-2) + 4(5)= 16

-4 + 20 = 16

Therefore s= 5 and the answer is correct!

Answer:

V=2(1+2)a2h

Step-by-step explanation:

Final answer:

To calculate the volume of an octagonal prism, find the area of the base using the formula A = 2(1 + √2)s² for a regular octagon, then multiply by the prism's height. Ensure all measurements are in the same units.

Explanation:

To find the volume of an octagonal prism, you need to calculate the area of the base octagon and then multiply it by the height of the prism. The formula for the area of a regular octagon (assuming all sides, s, are equal) is                       [tex]A = 2(1 + \sqrt{2} )s^2[/tex], where s is the length of one side. To find the volume, V, you then multiply this area by the height, h, of the prism: V = A*h = [tex]2(1 + \sqrt{2} )s^2*h[/tex]. It's important to ensure that all measurements are in the same units to get the volume in cubic units (e.g., cubic centimeters, cubic meters).