write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 40 to 56

Answers

Answer 1
Answer:

Answer:

  5/7

Step-by-step explanation:

A common factor of 8 can be canceled from numerator and denominator.

  40/56 = (5·8)/(7·8) = (5/7)·(8/8) = (5/7)·1 = 5/7

_____

Since you know your multiplication tables, you know that 40 and 56 are both multiples of 8.

__

If you don't know your multiplication tables, you can find the greatest common divisor (GCD) of the two numbers and divide each by that. The GCD can be found using Euclid's algorithm. For that, you divide the larger by the smaller and use the remainder as the new smaller number. The original smaller number is now the larger number. For these numbers, that looks like ...

  56 ÷ 40 = 1 r 16

  40 ÷ 16 = 2 r 8

  16 ÷ 8 = 2 r 0 . . . . . the zero remainder signals that the divisor (8) is the GCD

Now, your fraction is ...

  (40/8) / (56/8) = 5/7

Answer 2
Answer:

Answer:

5/7

Step-by-step explanation:

40/56 both divided by 8 and that is how to get your answer because you can not simplify further


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Fifty people own 4,000 books. What's the ratio of people to books? A. 80 : 1 B. 1 : 80 C. 1 : 40 D. 40 : 1

Answers

We have 50:4000, then divide by 50 on both sides to get 1:80, which is B
easy to work out [B] 1: 80
             hope my answer helped!!





Find m2V.S
T
(9x – 19)°
U
111°
((7x + 3)
X
(5x + 8)
128°
W

Answers

Answer:

103

Step-by-step explanation:

6 sides

(6-2)180 =720

720 = S×T+U+V+W+X

S=90

720 = 90 + (9X-19) + (111) + (5X+8) + (128) + (7X+3)

COMBINE LIKE TERMS

720= (90-19+111+8+128+3) + (9X+5X+7X)

720 = 321 + 21X

720-321 = 321-321 + 21X

399 = 21X

19 = X

mV = 5X + 8

mV = 5(19) + 8

mV = 95 + 8

mV = 103

Simplify 5t + (t - 3) - [(7t + 5) - (8 - 3t)].

Answers

This process is: 

Distribute of the Negative Sign:
5t+t−3+−1(7t+5(8−3t))
5t+t+−3+−1(7t)+(−1)(5)+(−1)(−8)+−1(3t)
5t+t+−3+7t+−5+8+3t
Now simple, Just Combine Like Terms:
5t+t+−3+7t+−5+8+3t
(5t+t+7t+3t)+(−3+−5+8)
4t

-4t would be the answer.

~Evie 

I presume that this is talking about simplification with the rule of PEMDAS. First, look at the parenthesis and brackets. Let's do the [(7t + 5) - (8 - 3t)] part first. The parenthesis can go away on the inside if you distribute the negative in (8 - 3t), which flips the signs of those. You should then have [7t + 5 - 8 + 3t], then work it out to form just (10t - 3). The negative will also carry for the brackets that were there before, so - (10t - 3) turns into -10t + 3. Now, you just have 5t + t - 3 - 10t + 3. Work that out to get your final answer of -4t.

-4t is the answer.

What is the value os f(150), And what does f(150) represent?

Answers

f(150) = 3×150 + 20 = 470

Final answer:

f(150) refers to a function f applied to the input 150. Without information about the form of function 'f', we can't tell the specific value of f(150). The value of f(150) symbolizes the outcome after applying the function 'f' to 150.

Explanation:

The question is asking about f(150) which relates to the concept of function in Mathematics. In a function f(x), the input is represented by 'x', and the output, which is the result of applying the function to 'x', is represented by f(x). Therefore, f(150) means that the function f is being applied to the number 150. Without any specific information about the function 'f', we cannot determine the exact value of f(150). The value of f(150) represents the outcome resulted by applying the function 'f' to the input 150.

Learn more about Functions here:

brainly.com/question/30721594

#SPJ12

4. Find the distance between the two points. Round to the nearest tenth if necessary.(-2, -1) and (3, 5).

Answers

Answer:

Distance = 7.8 units

Step-by-step explanation:

In coordinate geometry, the distance between the 2 points is given by

Distance = \sqrt{(x1-x2)^(2) + (y1-y2)^(2) }

where (x1,y1) and (x2,y2) are coordinates of the 2 points.

Above the 2 points given are, (-2,-1) and (3,5).

x1 = -2 , y1 = -1 , x2 = 3, y2 = 5

Distance = \sqrt{((-2)-(3))^(2) + ((-1)-(5))^(2) }

Distance = √(61)

Distance = 7.8102 units

To the nearest tenth, Distance = 7.8 units

Line AB is drawn from A(0,10) to B(-7,-4). Find point C that partitions line AB in ratio 5:2a) (-2,6)
b) (-3.5, 3)
c) (-5,0)
d) (-6,-2)

Answers

c) (-5, 0)

Working;
Use the formula;
x coordinate=( k_(1) x_(B)+ k_(2) x_(A) )/( k_(1) + k_(2) )( k_(1) y_(B) + k_(2) y_(A) )/( k_(1) + k_(2) )