7 times as much as the sum of 1/3 and 4/5

Answers

Answer 1
Answer: First of all, you add 1/3 and 4/5, so you get:
(1)/(3) +  (4)/(5)

To add 2 fractions, they need to have the same denominator. Since 3 and 5 don't have a common factor, so you multiply 1/3 by 5, and 4/5 by 3, so you get:
(1*5)/(3*5) +  (4*3)/(5*3)
(5)/(15) +  (12)/(15)

Now, the two fractions got the same denominator, and you can add them by adding the numerators over the same denominator. (You don't add denominators in addition) so you get:
(5+12)/(15)
(17)/(15)

That's the sum of 1/3 + 4/5.

Now, they want the sum of the 2 fractions 7 times. So you multiply 17/15 by 7. And as you know, 7 = 7/1. So you get:
(17)/(15) *  (7)/(1)

In multiplication no need to have the same denominator. You multiply nominators by nominators and denominators by denominators. So you get:
(17*7)/(15*1)
(119)/(15)

Since 119 and 15 don't have a common factor, so they can't be simplified.
So, the answer is 119/15. 

Hope this Helps! :D
Answer 2
Answer:

What you have to do first is to add (1)/(3) and (4)/(5),

Further Explanation

Therefore we have:

= (1)/(3) + (4)/(5)

= ( (1)/(3) + (4)/(5) ) / 15 (15 is the smallest number that divide both denominator also known as LCD)

= (5 x 1) + (3 x 4) / 15

= 5 + 12 / 15

= (17)/(15)

Therefore, the sum of (1)/(3) + (4)/(5) is (17)/(15)

But since the question says you should determine the sum of the 2 fractions, therefore you should multiply (17)/(15) by 7. Therefore you should have:

(17)/(15) X 7 (7 can also be expressed as (7)/(1))

= (17)/(15) x (7)/(1) (notably, in multiplication there is no need for the fraction to have the same denominator. You can multiply both numbers at the top together (numerator) and do same with the denominator.

= (119)/(15)

= 7(14)/(15)

Therefore, 7 times as much as the sum of (1)/(3) and (4)/(5) is 7(14)/(15)

LEARN MORE:

KEYWORDS:

  • multiplication
  • addition
  • sum
  • denominator
  • numerator

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The house has five doors. the number of windows is two more than 5. how are there?

Answers

more than in mathematics means addition

So if there are 5 doors, and there are two more windows than doors, then there is 5 + 2 = 7 windows.

So, there is a total of 7 windows.

Please help me answer this question in the picture.

Answers

I did this in third grade. I don't renember much but I'm pretty sure its A 1/8
The awnser is B because It has more X marks 

Last week Trent made 80 on his quiz. This week he made a 90. What is the percent of increase in his score? A.10%
B.12.5%
C.11%
D.15%

Answers

90=80x
x=9/8=1.125
.125*100=12.5%
(A)10%
because 10+80 equals 90

What all the multiples of 81?

Answers

3,9,27 ( the 9 can be multiplied by itself to get 81 9*9)
3,9,27 are the answers of the multiples of 81

Which of the following functions best represents the graph?f(x) = x3 + x2 − 4x − 4
f(x) = x3 + 4x2 − x − 4
f(x) = x3 + 3x2 − 4x − 12
f(x) = x3 + 2x2 − 4x − 8

Answers

Answer:

f(x)=x^3+x^2-4x-4

Step-by-step explanation:

From the graph, the x-intercepts are;

x=-2

x=-1

x=2

These are root of the polynomial function represented by the given graph.

By the remainder theorem;

f(-2)=0,f(-1)=0,f(2)=0

According to the factor theorem, if (x-a) is a factor of f(x), then f(a)=0

This implies that;

(x+2),(x+1),(x-2) are factors of the required function.

Hence; f(x)=(x+1)(x-2)(x+2)

We expand using difference of two squares to obtain;

f(x)=(x+1)(x^2-4)

We expand using the distributive property to get;

f(x)=x^3-4x+x^2-4

Rewrite in standard form to obtain;

f(x)=x^3+x^2-4x-4

Answer:

Choice A: f(x) = x^3 + x^2 − 4x − 4

Step-by-step explanation:

Here's a great and simple answer.

Ok first we need to take the x intercepts to solve.

If we look at the graph we see the x ints are -2,+1 and +2.

To solve we need to put them into factor form

= (x-2) (x+2) and (x+1)

Simplify: (x-2) (x+2) = (x^2-4) and (x+1)

Now we take (x^2-4) and (x+1) and multiply them to find our answer

(x^2-4) (x+1)

= x^2(x) and x^2(1) = x^3 and x^2.

now the other: -4(x) and -4(+1) = -4x and -4

We have nothing common here so we just join them

= x^3 + x^2 - 4x - 4, and that is the same as choice A.

A. 117.2
B. 468.9
C. 410.3
D. 205.1

Answers

Answer:

The answer is C

Step-by-step explanation:

Fuente: Mis huevos