best estimate for 6 3/4 divided by 1 2/3

Answer:

  39, 40, 41

Step-by-step explanation:

Let x represent the middle integer. The sum of the three integers will be ...

  (x -1) +x +(x +1) = 3x

This is 40 more than 2 times the middle integer, so we have ...

  3x = 40 +2x

  x = 40 . . . . . . . subtract 2x

The three integers are 39, 40, 41.

_____

Additional comment

It often works well to solve consecutive integer problems by letting a variable represent the middle value, or the average of the integers.

Answer:

-3,-2

Step-by-step explanation:

Answer:

-3,-2

Step-by-step explanation:

if it goes down in numbers but increases in x that would mean the value would change by that much (-3,-2).

Answer:

283.86 cm³

Step-by-step explanation:

A can of soda has the shape of a cylinder.

Formula for finding volume of a cylinder :

Volume = πr²h

===============================================================

Solving :

⇒ Volume = 22/7 × (2.8)² x 11.5

⇒ Volume = 22/7 x 2.8 x 2.8 x 11.5

⇒ Volume = 22 × 0.4 × 32.2

⇒ Volume = 8.8 × 32.2

⇒ Volume = 283.86 cm³

Answer:

8.2

Step-by-step explanation:

the bigger numbers are 9.21 and 9.73 because they have a higher number and 8.9 and 8.2 are the lower ones but 9 is a bigger number than 2.

ΔAGF ≅ ΔCGE because they are both created from perpendicular diagonals that are intersected at the midpoint by line FE.

A perpendicular line is a straight line that is at right angle with another line. That is both lines intersect each other at right angles.

Lines EG and FG  are ≅ because the are dissected by a line that runs through the diagonal of rectangle ABCD

Lines JK ≅ HL because they are both created by parallel lines JL and HI.

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Answer:

155

Step-by-step explanation:

Solution

[tex]\sqrt{155} *\sqrt{155}[/tex] is the same thing as [tex]\sqrt{155}^2[/tex], when we square a square root, we get the number that's inside the radical.

Given this method, we can easily say that [tex]\sqrt{155} * \sqrt{155}[/tex] is just [tex]155[/tex].

Another way:

Answer:

155.

Step-by-step explanation:

By the definition of a square root the answer is 155.

Answer:

3.5 inches by 4 inches

Step-by-step explanation:

The number of ways in which three swimmers can advance is 56.

The combination is the selection of items without taking the order of arrangement into consideration.

The formula used in calculating the combination is:

[tex]\mathbf{C(n,r) = \dfrac{n!}{r!(n-r)!}}[/tex]

[tex]\mathbf{C(n,r) = \dfrac{8!}{3!(8-3)!}}[/tex]

[tex]\mathbf{C(n,r) = \dfrac{8\times 7\times 6 \times 5!}{3!(5)!}}[/tex]

[tex]\mathbf{C(n,r) = 8\times 7}[/tex]

C(n, r) = 56

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Answer:

  65.8

Step-by-step explanation:

The Law of Sines can be used to find side values from angles when a side and its opposite angle are given.

__

The relation is ...

  a/sin(A) = b/sin(B)

Solving for 'a' gives ...

  a = b·sin(A)/sin(B) = 100·sin(18°)/sin(28°)

  a ≈ 65.8

Answer:

b) 95 degrees

Step-by-step explanation:

Remember that the internal angles of a triangle add up to 180°.

Solving :

Let that angle be x

Apply angle sum property

Answer:

hope this will help you thank you

it can be also written as 1/5x-5

Answer:

A. Horizontal Stretch and vertical shift down 4

Step-by-step explanation:

When multiplying by a number greater than one, its a stretch. When it is less than one it is a compression.

2 is greater than 1 so its a horizontal stretch.

When there is a number outside of the () then that number determines how high or how low you go depending on the sign.

Our number is -4 so we go down 4.

Answer:

A 1.3

Step-by-step explanation:

probabilities lie between 0 and 1 and cannot be more or less

Answer:

1.  smaller value of t = 5

   larger value of t = 9

2.  (7, 4)

Step-by-step explanation:

Given function:  [tex]h(t)=-(t-7)^2+4[/tex]

To find the zeros, set the function to zero and solve for t:

[tex]\begin{aligned}h(t) & =0\\\implies -(t-7)^2+4 & =0\\-(t-7)^2 & =-4\\(t-7)^2 & =4\\t-7 & =\sqrt{4}\\t-7 & =\pm 2\\t & =7\pm 2\\t & = 5,9\end{aligned}[/tex]

Vertex form:  [tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex

Therefore, the vertex of the given function is (7, 4)

Answer:

S=49

Step-by-step explanation:

Any triangle has an interior angle of 180.

So just add them up and set the sum equal to 180 degrees.

2s+s+33=180

3s=180-33

3s=147 .   Divide both sides by 3 to isolate variable s

s=49

Answer:

x=10.5 or x=6=x=−7

Step-by-step explanation:

x+x^2+2=44

x+x(x)+2=44

2x(x)+2=44 1. -2 on both sides

2x^2=42

2x(2x)=42

4x=42 2. /4 on both sides

x=10.5

Answer:

x = -7, 6.

Step-by-step explanation:

x+x2 +2=44

x^2 + x - 42 = 0

(x - 6)(x + 7) = 0

x =-7, 6

Unit rate

Answer:

$0.08 per minute

Step-by-step explanation:

Unit rate :

Answer:

7 1/15 ( mixed number )

Step-by-step explanation:

First, add...

4 + 2 = 6

Then as you can see you can't add when both denominators are not the same so multiply 5 and 3 and you get 15

Then do...

2/5 x 3/3 = 6/15

And...

2/3 x 5/5 = 10/15

Then add...

6/15 + 10/15 = 16/15

But this number is an improper fraction so the mixed number for it is...

1 1/15 + 6 = 7 1/15

So this gives us the final answer of 7 1/15 ( mixed number )

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Answer: 16 cups per second.

Step-by-step 5.5 minutes into seconds 320.

620 gallons into cups 9920.

9920 divided by 320 seconds.

16 cups per second

Answer:

35 + 35 = 70

Step-by-step explanation:

Add the area of ABC

Answer:

blue to all triangles ratio: 1 : 78.5

Step-by-step

so first the total amount of triangles is 4 blue triangles to 314 total triangle or 4/314

you could just leave it like that or simplify it by dividing both sides by four getting 1 : 78.5

Answer: 10

Step-by-step explanation:The answer is 10

Step-by-step explanation:

10+10=20

10 * 10= 100

Hope it helps you.

Answer:

he would need 4 bags

Step-by-step explanation:

16 divided by 4 is 4

you can count by 4 to find your answer

Answer:

its D

Step-by-step explanation:

i did the math ez

Answer:

C) ∠V , ∠U , ∠W

Step-by-step explanation:

The smallest angle is opposite to the smallest side.

Sides in ascending order:  WU <  VW < UV

Step-by-step explanation:

7+5+8+5=25 All the paintings

paintings of summer:8

8 of 25

25×4=100

8×4=32

paintings of summer:32%

Answer:

1/3

Step-by-step explanation:

That is the simplified version of the number of all the double-digit odd days (11,13,15,17,21,23,25,27,29), 10, over the total number of days in April, 30

10/30=1/3