A road falls 10 m for every 200 horizontal
metres.

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:

(2,√21)

Step-by-step explanation:

The circle centered at the origin has equation:

[tex] {x}^{2} + {y}^{2} = 25[/tex]

Any point that satisfies this equation lie on this circle.

When x=2, we substitute and solve for y.

[tex] {2}^{2} + {y}^{2} = 25 \\ 4 + {y}^{2} = 25 \\ {y}^{2} = 25 - 4 \\ {y}^{2} = 21[/tex]

Take square root to get:

[tex]y = \pm \sqrt{21} [/tex]

Therefore (2,-√21) and (2,√21) are on this circle.

From the options, (2,√21) is the correct answer

Answer:2, square root of 21 just took the test!

Step-by-step explanation:

Answer:

Perfect squares are whole numbers that are squared, so the two that are closest to 175 would be:

13*13=169 and

14*14=196

The two perfect squares closest to 175 are (13*13) and (14*14)

Hope this helps ;)

So you gotta break the trapezoid into 2 shapes, square and triangle.

Area of the square: 8 x 10 = 80 cm^2

Area of the triangle :  1/2 x base x height

base: 6

height: 8

therefore, 1/2 x 6 x 8 = 24 cm^2

24+80 = 104 cm^2

Therefore your answer is C

The area of the  trapezoid ABCD should be option c [tex]104\ cm^2[/tex]

Since

We know that  

Area of the square= [tex]8 \times 10 = 80\ cm^2[/tex]

And,

Area of the triangle:  [tex]1/2 \times base \times height[/tex]

Here

base =  6

height =  8

So, the area should be

[tex]= 1/2 \times 6 \times 8 \\\\= 24\ cm^2[/tex]

Now the area of trapezoid is

= 24+80

= 104

Hence, The area of the  trapezoid ABCD should be option c [tex]104\ cm^2[/tex]

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Answer: It's B

Step-by-step explanation:

Answer:

d the anwser is d

Step-by-step explanation:

Answer:

[tex]Area= \frac{17 \sqrt{865} }{4} \: {units}^{2} [/tex]

Step-by-step explanation:

From Pythagoras theorem,

[tex] {h}^{2} = {12}^{2} + { (\frac{17}{2} )}^{2} [/tex]

[tex]{h}^{2} = \frac{865}{4} [/tex]

[tex]h = \frac{ \sqrt{865} }{2} [/tex]

The area of the isosceles triangle is

[tex]Area= \frac{1}{2} bh[/tex]

[tex]Area= \frac{1}{2} \times 17 \times \frac{ \sqrt{865} }{2} = \frac{17 \sqrt{865} }{4} [/tex]

Answer:

6 action figures

Step-by-step explanation:

8 Comic books for every 3 action figures;

Ratio = 8:3

Monday =

32 Comic books: X

1 part = 32/8 = 4

X = 4 * 3 = 12

Therefore 12 action figures were sold on Monday.

Difference between Monday and Tuesday is 18-12 which is 6 action figures.

Final answer:

The answer provides a step-by-step explanation to find the difference in the number of action figures sold on Monday and Tuesday.

Explanation:

The difference between the number of action figures sold on Monday and Tuesday can be calculated as follows:

Given that the store sells 8 comic books for every 3 action figures, on Monday they sold 32 comic books, which is equivalent to 12 action figures (32 comic books ÷ (8 comic books/3 action figures)).

On Tuesday, the store sold 18 action figures directly. To find the difference, subtract the number of action figures sold on Monday from Tuesday's sales: 18 action figures - 12 action figures = 6 action figures.

Answer:

The equivalent expression to 9(15) is 9(10+5).

Step-by-step explanation:

this is equivalent to 910 because 27 x 10 = 30 x 9 = 270.

this is also equal to 9(15) to 9(10+5)

An expression is defined as a set of numbers, variables, and mathematical operations. The expression that is equivalent to 9/10÷2/3 is (9×3)/(10×2).

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression is equivalent to 9/10÷2/3, can be written as,

[tex]\dfrac9{10} \div \dfrac23\\\\\\= \dfrac{\frac{9}{10}}{\frac23}\\\\\\= \dfrac{9\times 3}{10 \times 2}[/tex]

Thus, the expression that is equivalent to 9/10÷2/3 is (9×3)/(10×2).

Learn more about Expression:

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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: $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

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:

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

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:

The expression is equivalent to 12 + 3 + (negative 7) because of the commutative property.

Step-by-step explanation:

The expression should be 12- 7 +3 = 8

The associative property allows you to put parenthesis anywhere in the equation as long it just addition and multiplication. In this question, we have subtraction(minus 7) so we can't use the associative property.  

The commutative property allows you to move around a number as long as you didn't change its value or its group. Option C changes the value of the number so it's wrong. If you calculate it will give a different answer: 12-3+7=16

Option D didn't change the value so its the right answer.

Answer:

D is correct

Step-by-step explanation:

The exponential e is used when modeling continuous growth that occurs naturally such as populations, bacteria, radioactive decay, etc.

Explanation

We can think of e like a universal constant representing how fast we could possibly grow using a continuous process. And, the beauty of e is that not only is it used to represent continuous growth, but it can also represent growth measured periodically across time.

The exponential e will be used in situations of continuous growth or decay. The following formula is used to illustrate continuous growth and decay. If a quantity grows continuously by a fixed percent, the pattern can be depicted by this function.

                                                  [tex]A = Ao e^k^t[/tex]

In case of exponential decay, k is less than 0.

Answer:

11/15 I think cause it's a pretty easy fraction

Final answer:

To determine the probability that a student randomly selected from a class likes sports but not music, calculate the difference between those who like sports and those who like both sports and music, then divide by the total students, resulting in a 50% probability.

Explanation:

The question asks for the probability that a student selected at random from a class likes sports but not music. To solve this, we first understand the problem as a set problem in mathematics. Given that 60 students like music, 110 like sports, and 35 like both music and sports, we can find the number of students who like only sports by subtracting those who like both sports and music from the total number of students who like sports. This calculation is 110 (students who like sports) - 35 (students who like both sports and music) = 75 (students who like only sports).

To find the probability, we divide the number of students who like only sports by the total number of students in the class. So, the probability is 75 (students who like only sports) / 150 (total students) = 0.5 or 50%.

Therefore, the probability that a student selected at random likes sports but not music is 50%.

Answer:38

Step-by-step explanation:he has 38 cupcakes leftover

or it could be 47 as it states he has ate 47

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]

Answer: x = -2.

Step-by-step explanation:

Answer: x= -2

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

Answer:

10% Decrease

Step-by-step explanation:

Let the number is 100.

Now, if we increase the number by 20%, the new number will be -

100 + (100 × 20%) = 100 + 20 = 120

The new number is 120.

Again, if we decrease the new number by 25%, the number will be -

120 - (120 × 25%) = 120 - 30 = 90

The new number is 90.

The change will be decreased by = (100 - 90) = 10

Percentage change = (10 ÷ 100) × 100 = 10%

The coordinates of P are (12, 2).

Solution:

Given data:

A = (4, 2) and B = (22, 2)

P(x, y) is the point on the line segment AB.

AP : PB = 4 : 5.

Section formula:

[tex]$P(x, y)=\left(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n}\right)[/tex]

Here, [tex]x_1=4, y_1=2, x_2=22, y_2=2[/tex] and m =4, n =5.

[tex]$P(x, y)=\left(\frac{4\times 22 + 5\times 4}{4+5}, \frac{4\times 2 + 5\times 2}{4+5}\right)[/tex]

[tex]$P(x, y)=\left(\frac{88 + 20}{9}, \frac{8+10}{9}\right)[/tex]

[tex]$P(x, y)=\left(\frac{108}{9}, \frac{18}{9}\right)[/tex]

P(x, y) = (12, 2)

Hence the coordinates of P are (12, 2).

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:

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: Yes, if both are the same length width and height, then they would have the same volume.

Answer:

7*x + y + 0.1*z

Step-by-step explanation:

An expression that satisfy what Ava said she wrote is the following:

7*x + y + 0.1*z

because

Answer:

The expression can be written as

7a + b + 0.1c

Step-by-step explanation:

Ava wrote an expression with three terms . According to the question each term involve a different variable. This means the term have different value. Since the term have different variable, each term can be represented as follow:

a , b and c

The first term which is a has a coefficient of 7. The second term which is b has a coefficient of 1 and the last term which is c has a coefficient of 0.1.

The coefficient of any value is usually the number in front of it.

The three terms and their coefficients can be expressed as follows:

First term and coefficient = 7a

Second term and coefficient = 1b

Third term and coefficient = 0.1c

The expression Ava wrote can be represented as follows

7a + b + 0.1c

Note an expression that contains variable , symbols( +, - )   and numbers is known as an algebraic expression. And

7a + b + 0.1c is an algebraic expression.

Answer: .

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I did the usatestprep

Width of the rectangle is 13 cm and length is 29 cm.

Step-by-step explanation:

Step 1:

Given perimeter of the rectangle = 84 cm. Let the width be x, then the length of the rectangle = 2x + 3. Use the formula for perimeter of a rectangle = 2(length + width) to find the dimensions.

84 = 2(2x + 3 + x) = 2(3x + 3) = 6(x + 1) [taking 3 as common factor outside)

⇒ 84 = 6x + 6

⇒ 78 = 6x

∴ x = 13

⇒ Width of the rectangle = 13 cm

∴ Length of the rectangle = 2x + 3 = 29 cm

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.