Read aloude What fraction of the jug did the three boys drink at the soccer game?

Answer:

telephone pole height = 480ft

Step-by-step explanation:

Assume that the shadow that an object casts is proportional to the height of the object. Then one can form the ratio:

[tex](shadow : height)[/tex]

Making the assumption that this ratio is proportional for all objects in this given scenario, then one can say that the ratio of the height of the man and his shadow is equal to the ratio of the height of the telephone pole and its shadow:

(man's height) : (man's shadow) = (pole's height) : ( pole's shadow)

Substitute:

6ft : 4ft 6in = (telephone pole hiehgt) : 30ft

Convert to inches (since it is all in the same unit now, one's doesn't need to write the unit anymore):

72 : 54 = (telephone pole height) : 360

Simplify:

4 : 3 = (telephone pole height) : 360

Now solve, use cross products:

3(telephone pole height) = 1440

Inverse operations,

3(telephone pole height) = 1440

/3                                          /3

telephone pole height = 480

Answer:

Step-by-step explanation:

Note that x^2 - 6x + 9 = 0 can be rewritten as the square of a binomial:

(x - 3)^2

and the roots are found by setting this equal to zero and solving for x:

(x - 3)^2 = 0, or x - 3 = ±0, or x = 3 and x = 3

a) there are two equal roots:  {3, 3}

b) the roots {3, 3} are rational

c) the roots {3, 3) are real

If you want to use the quadratic formula, proceed as follows:

1.  Identify the coefficients of the quadratic:  {1, -6, 9}

2. Find the discriminant b^2 - 4ac:  It is (-6)^2 - 4(1)(9) = 36 = 36 = 0

   As a general rule, if the discriminant is zero, the quadratic has two equal, real roots.  These roots are rational:  3 can be rewritten as 3/1, which is a ratio.

Answer:

its the 3rd one

Step-by-step explanation:

because x=4 and y=28 so 4 times 7 =28

Answer:

Train A is 497 tons and Train B is 13 tons

Step-by-step explanation:

Let a represent the weight of Train A, and b represent the weight of Train B

Set up a system of equations:

a + b = 510

a - b = 484

Solve by elimination by multiplying the top equation by -1

-a - b = -510

a - b = 484

Add these together, and solve for b:

-2b = -26

b = 13

Find the weight of Train A by plugging in 13 as b into one of the equations, and solving for a

a + b = 510

a + 13 = 510

a = 497

So, Train A is 497 tons and Train B is 13 tons

Answer: Im going to say C

Step-by-step explanation: Because the lines both look the same they could be even.

Answer:

area of parallelogram = 21

area of trapezoid = 32

Step-by-step explanation:

Hello There!

The first figure shown is a parallelogram and the following dimensions are given

base = 7mm

height = 3mm

The area of a parallelogram can simply be found by multiplying the base by the height

so Area = 7 * 3

7 * 3 =21 so the area of the parallelogram is 21 square millimeters

The second figure given is a trapezoid and the following dimensions are given

height = 4m

base 1 = 5m

base 2 = 11m

To find the area of a trapezoid we use this formula

[tex]A=\frac{a+b}{2} h[/tex]

where a and b are bases and h = height

given the dimensions all we have to do is plug in the values into the formula

[tex]A=\frac{5+11}{2} 4\\5+11=16\\\frac{16}{2} =8\\8*4=32\\A=32[/tex]

so we can conclude that the area of the trapezoid is 32 square meters

The answer is 14.15 :)

Answer:

7 ( 2x + 3y - z)

Step-by-step explanation:

To factor this expression, you need to find the GCF, which is 7.

7 ( 2x + 3y - z)

Answer:

7(2x+3y-z)

Step-by-step explanation:

You have to factor by graphing !

Answer:

1.043kg

Step-by-step explanation:

2.3lb = 1.043 kg

Answer: 0.75

Step-by-step explanation: took the same question

Answer:

0.75

Step-by-step explanation:

Answer:

40 Square Units

Step-by-step explanation:

Easy way to find area: Diagonal 1 * Diagonal 2 divide by 2 = your answer

Diagonal 1 (AC) = 5 + 5 = 10

Diagonal 2 (BD) = 4 + 4 = 8

10 + 8 = 80, 80/2 = 40

Answer: 40 square units

Answer:

Volume of cylinder = 1,156.57 cm³

Step-by-step explanation:

Given:

Radius R = 4 cm

Height of cylinder = 23 cm

Find:

Volume of cylinder

Computation:

Volume of cylinder = πr²h

Volume of cylinder = (22/7)(4)²(23)

Volume of cylinder = (22/7)(16)(23)

Volume of cylinder = 1,156.57 cm³

Answer:

neither positive nor negative

Step-by-step explanation:

In order to identify a type of correlation the points have to form where we can draw a line through the points and most of the points will be near that line drawn.

Because most of the points graphed are scattered we cannot identify if it has a positive or negative correlation

Answer:

a=12.56 b=3.14 c=50.24 d=78.5 e=4.5216 f=63.585

Step-by-step explanation:

USE A CALCULATOR!

Answer:

say ok bye and walk away

Step-by-step explanation:

Answer:

Step-by-step explanation:

RQP is exterior angle of ΔMQR ⇒

QR = RP ⇒

∠QRN is exterior angle of ΔQRP ⇒

∠MRN = ∠NMR = 3x ⇒

NR = MQ ⇒

We now have a straight angle MQP:

Correct choice is C

Answer:

7:3:5

Peter:Mary:Sam

Answer:

Step-by-step explanation:

Answer:

1.92

Step-by-step explanation:

Given :

Cups of flour = 13

Cups of cinnamon = 25

Number of cinnamon cups needed for each cup of flour :

Number of cinnamon cups / number of cups of flour

25 / 13

= 1.923

Hence, about 1.92 cups of cinnamon is needed per cup of flour

Answer: 12500 gallons

Step-by-step explanation:

Number of mobile homes in a trailer park = 50

Gallons of water used by each mobile home = 250 gallons

The amount of water used by the trailer park uses in one day will be:

= Number of mobile homes in the trailer park × Gallons of water used by each mobile home

= 50 × 250

= 12500 gallons

9514 1404 393

Answer:

  D)  8

Step-by-step explanation:

The similarity statement tells us ...

  RS/ST = BC/CD

  (11x -4)/70 = 60/50

  11x -4 = 70(60/50) = 84 . . . multiply by 70

  11x = 88 . . . . . . . . . . . . . . .add 4

  x = 8 . . . . . . . . . . . . . . . divide by 11

Step-by-step explanation:

Given

diameter (d) = 36 inches

Radius (r) = d / 2 = 36 / 2 = 18 inches

Now

Area of the circle

= πr²

= 3.14 * 18²

= 1017.36 inches²

Hope it will help :)❤

Answer:y

=

(

x

−

8

)

2

−

4

Step-by-step explanation:maybe

Answer:

7/10

Step-by-step explanation:

To make things simple, let's turn 80% into a fraction, 8/10. To get a common denominator let's turn 8/10 into 4/5. Since they are both of equal size, the first group would have 2/5 left-handed people and the second 1/5 left-handed people. Let's imagine that each group has 5 people in it. There would be 10 people in total. There is 1 person for each fifth so we can add now. 4 + 3 = 7 right handed people. To check, 2 + 1 = 3 and 3 + 7 = 10. so 7/10 of the class is right-handed.

Answer:

(x, y) ⇒ (x - 5, y - 3)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Translation is the movement of a point up, down, left or right. If a point A(x, y) is translated a units left and b units down, the new point is at A(x - a, y - b), while If a point A(x, y) is translated a units right and b units up, the new point is at A(x + a, y + b).

Given that triangle S T U is shifted 3 units down and 5 units to the left to form triangle S prime T prime U prime. The rule that describes this translation is given as:

(x, y) ⇒ (x - 5, y - 3)

Answer:

y=-4x-2

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Answer:

$220,000 I am pretty sure this is correct!

Answer:

He is incorrect

Step-by-step explanation:

Although he can solve it, he would use Division Property or Equality not multiplication

hope this helps ;)

Answer:

I can pop it into the calculator for you if you'd like.

Step-by-step explanation:

I can edit my answer to give the answer to you.

Answer:

64??? take it with a grain of salt but i think its 64

Step-by-step explanation:

There are 6 sides to a die and if its rolled twice thats 12 possible answers and then a standard deck has 52 cards so thats 12+52=64

Answer:

100

Step-by-step explanation: