Out of 260 racers who started the marathon, 232 completed the race, 25 gave up, and 3 were disqualified. What percentage did not complete the marathon?

Answer:

67.5 square units

Step-by-step explanation:

Formulae

[tex]\textsf{Area of a triangle}=\sf \dfrac12bh[/tex]

(where b is the base and h is the height)

[tex]\textsf{Area of a trapezoid}= \sf \dfrac12(a+b)h[/tex]

(where a and b are the bases, and h is the height)

Solution

We can divide this shape into a triangle and a trapezoid.

[tex]\implies \textsf{Area of triangle}=\sf \dfrac12 \cdot 10 \cdot 7=35\:\textsf{(square units)}[/tex]

[tex]\implies \textsf{Area of trapezoid}= \sf \dfrac12(3+10)\cdot 5=32.5\:\textsf{(square units)}[/tex]

Therefore:

Area of shape = 35 + 32.5 = 67.5 square units

Area of trapezoid

Area of traingle'-

Total area:-

Answer:

Problem 17

Independent -- T

dependent -- D

_________________________

Problem 16

Independent -- X

dependent -- Y

_________________________

Problem 18

Independent -- R

dependent -- Q

Step-by-step explanation:

Answer: 40 degrees

Step-by-step explanation:

[tex]\begin{aligned}& \triangle A B C \cong \triangle D E F \\&\therefore \angle A=\angle D \quad(\text{By corresponding parts of a congruent triangle}) \\&x+20=2 x \\&2 x-x=20\\& x=20\\&\therefore m\angle A=x+20=20+20=40^{\circ} \\\end{aligned}[/tex]

Answer:

constant (unchanged) ratio of two variable quantities.

Step-by-step explanation:

Constant of Variation. The constant of variation in a direct variation is the constant (unchanged) ratio of two variable quantities. The formula for direct variation is. y = k x (or y = k x ) where k is the constant of variation .

Answer(s)

Problem 9: 138.53

Problem 10: Function

Problem 11: Not A Function (Not Sure)

Edit; Problem 9 should've been right, I have no idea then.

Answer:

2

Step-by-step explanation:

13+7x=27

-13 -13

7x=14

÷7

x=2

Answer:

x = 2

Step-by-step explanation:

Given

#1) Subtract 13 from each side.

#2) Divide 7 from each side.

Answer:

32

Step-by-step explanation:

first subtract 8 from his age and then multiply it by four.

Answer:

Step-by-step explanation:

The first term shown is 11. The terms have a common difference of 15 -11 = 4.

These values let you write the recursive formula:

  [tex]a_1=11\\a_n=4+a_{n-1}[/tex]

__

The common difference is added to the previous term to find the current term.

Answer:

3/4

Step-by-step explanation:

two points are

(8,6) and (12,9)

formula :

(y2-y1)/(x2-x1)

(9-6)/(12-8) =

3/4

slope often means rate of change

in this graph

price changes as the number of lemon changes

in economics this graph is called the

supply curve

its called the law of supply

increases in price causes increase in the quantity supplied

if something is worth more, it will cause an increase in price which will cause people who want to make money to try supply more of it

quizlet

Answer:

1 and 20    or   2 and 10   or   4 and 5

Step-by-step explanation:

the divisors of 20 are 1 , 2 , 4 , 5 , 10 , 20

Then

20 = 1 × 20

     = 2 × 10

     = 4 × 5

Answer:

2/7 + (-3/4) + (-2/7) + 4/3

If we look at 2/7 and (-2/7), we can see that both of them combined will get you a result of 0, so let's do that first.

2/7 + (-2/7) = 0

Now we're left with;

(-3/4) + 4/3

Make sure to convert both fractions into having a common denominator,

[They both have a common denominator of 12], so:

(-3/4) = (-9/12)

4/3 = 16/12

Add them:

(-9/12) + 16/12

16/12 - 9/12

= 7/12, which cannot further be simplified.

The volume of a cuboid is the product of its length, width, and height. Out of the five statements B, C, and E are correct.

The volume of a cuboid is the product of its length, width, and height. It is formulated as:

[tex]\rm \text{Volume of Cuboid} = Length \times Width \times Height[/tex]

As the dimensions of the room are given and a room is mostly in the shape of a cuboid. Therefore, the volume of the room can be written as,

The volume of the room = 10ft × 15ft × 12ft = 1800 ft³

A.)

The heat produced by 3 people in a period of 9 hours will be

= 600 BTU × 3 people × 9 hour

= 16,200 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,200\ BTU}{1800\ ft^3} = 9\ BTU/ft^3[/tex]

Hence, the statement that 3 people will produce approximately 8.33 BTUs/ft³ in a 9 hour period is wrong.

B.)

The heat produced by 4 people in a period of 10 hours will be

= 600 BTU × 4 people × 10 hours

= 24,000 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{24,000\ BTU}{1800\ ft^3} = 13.334\ BTU/ft^3[/tex]

Hence, the statement that 4 people will produce approximately 13.334 BTUs/ft³ in a 10 hour period is correct.

C.)

The heat produced by 5 people in a period of 2 hours will be

= 600 BTU × 5 people × 2 hours

= 6,000 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{6,000\ BTU}{1800\ ft^3} = 3.334\ BTU/ft^3[/tex]

Hence, the statement that 5 people will produce approximately 3.334 BTUs/ft³ in a 2 hour period is correct.

D.)

The heat produced by 6 people in a period of 4 hours will be

= 600 BTU × 6 people × 4 hours

= 14,400 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{14,400\ BTU}{1800\ ft^3} = 8\ BTU/ft^3[/tex]

Hence, the statement that 6 people will produce approximately 7.334 BTUs/ft³ in a 4 hour period is wrong.

E.)

The heat produced by 7 people in a period of 4 hours will be

= 600 BTU × 7 people × 4 hours

= 16,800 BTU

We already know the volume of the room is 1800 ft³. Therefore, the heat produced per unit volume can be written as:

[tex]\rm \text{Heat produced per unit volume}= \dfrac{16,800\ BTU}{1800\ ft^3} = 9.334\ BTU/ft^3[/tex]

Hence, the statement that 7 people will produce approximately 9.334 BTUs/ft³ in a 4 hour period is correct.

Learn more about the Volume of a Cuboid:

https://brainly.com/question/23118276

#SPJ1

Answer: it the first one

Step-by-step explanation:

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 7x from both sides.

8x−8−7x=7x−7x

x−8=0

Step 2: Add 8 to both sides.

x−8+8=0+8

x=8

HGD

-ghost

Answer:

-5015

Step-by-step explanation:

Sum of a Geometric Series (finite)

Step 1 : Finding n

Step 2 : Substitute the values in the Sₙ formula

Answer:

21482.20

Step-by-step explanation:

A = P(1+r/m)^mt

A = Total Amount, P = Principal, r = rate. m = number of months, t = time

24000 = P(1 + 0.037/12)^12*3

24000 = P(1.003083333)^36 --- I added 1  to 0.037 divied by 12, then multiplied 12*3 on the outside of the parentheses

24000 = 1.117204101(P)

24000/1,117204101 = 1.117204101P/1.1177204101

P = 21482.20

Good luck!  :)

Answer:

The answer is

C.) 3a⁴b/7

Step-by-step explanation:

I know it's the right answer because It's the answer it showed on Edge.

Answer:

[tex]\displaystyle 35[/tex]

Explanation:

Complementary Angles sum up to ninety degrees, so do the following:

[tex]\displaystyle 90° = 55° + m\angle{DEF} \\ \\ 35° = m\angle{DEF}[/tex]

I am joyous to assist you at any time.

Answer:

4

Step-by-step explanation:

8+y+g+0= 4

Answer:

36,478 beads

Step-by-step explanation:

8723+4632+3512+5971=22,838

6,802+3,162+987+2,689=13,640

22,838+13,640= 36,478

So Cindy and Doris have 36,478 beads in total.

Answer:

42

Step-by-step explanation:

Since each cut is 1/3 of a foot, you can tell that it will take 3 pieces to make 1 foot. Based on that ratio, you can do 14*3, which is 42 pieces.

Answer:

GG EZ

Step-by-step explanation:

GG 34/57(12/16)=54/65/

67-67-&45&12+3-2(-6)

= simpli

=12-76-Fgh

Answer:

y=(x+8)^2+7

Step-by-step explanation:

Answer:

depends

Step-by-step explanation:

f(x) is the function. the (x) corresponds with the x axis or coordinate. so find 3 on the x axis and find its corresponding y.

Answer:

The answer would be c- 6 1/6

Step-by-step explanation:

I recommend desmos scientific calculator if you put in a=4, b=-5, c=-7 then plug in the equation it should give you your answer!

Answer:

Step-by-step explanation:

[tex]\sf \dfrac{17}{3}x+17-\dfrac{2}{3}x-15 = \dfrac{17}{3}x-\dfrac{2}{3}x+17-15[/tex]

                               [tex]=\dfrac{17-2}{3}x + 2\\\\\\=\dfrac{15}{3}x+2[/tex]