All categories

3 years ago

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

Mathematics

1 answer:

Natasha_Volkova [10]3 years ago

5 0

First we need to make the fractions "compatible" for adding them easily, we can do that by equating their denominators using the common minimum multiple of their denominators 3 and 5 which is 15, so we have to multiply and divide to not modify them for a correct number, lets show that up:
1/3 = (5/5)(1/3) = 5*1/5*3 = 5/15, therefore: 1/3 = 5/15
4/5 = (3/3)(4/5) = 3*4/3*5 = 12/15, therefore 4/5 = 12/15
now we do the sum first:
1/3 + 4/5
= 5/15 + 12/15
= 17/15
and finally we multiply by 7
7*(17/15) = 119/15

You might be interested in

What is 13/78 redused to its lowest form

Wewaii [24]

Divide to get a low form of a fraction.
13 divide by 13 = 1
78/13 = 6

1/6 would therefore, be the lowest form

6 0

3 years ago

Read 2 more answers

When we use a number line, we ask ourselves where do we place the....?

Charra [1.4K]

0 or dot, depending on what course you are taking

8 0

2 years ago

Read 2 more answers

Determine whether A = B, ACB, BCA, ACB, BCA, or if none of these applies.

spin [16.1K]

The relation between A and B subset is A⊆B

What is Subsets?

A set "X" is said to be the subset of "Y" is each elements of X is present in Y and is denoted by X⊆Y.

It should be noted that In roster notation, the use of the {" and "} character indicates that a set of numbers is a collection of elements, which can either be a finite or infinite collection.

Thus in the given question :

A={summer, autumn, spring, winter}

B={summer, winter}

"summer" and "winter" elements of B which is common and also presents in A therefore, B is subset of A and is denoted as A⊆B.

check and know more about sets here :

brainly.com/question/23454979

#SPJ1

4 0

4 months ago

Straight angles Are extremely important in geometry. When two lines intersect , they form multiple angles. In the diagram below,

rusak2 [61]

When two straight lines intersect, the vertical opposite angles intersect. the other two angles are also equal. Let the known angle be x, then the other two adjacent angles are obtained subtracting twice of x from 360 and dividing the result by 2.

Therefore, the table can by filled as follows:

Row 1:

Given <GEF = 120°

<FEM is adjacent to <GEF, thus
$\angle FEM= \frac{360-2(120)}{2} \\ \\ = \frac{360-240}{2} = \frac{120}{2} =60^o$

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <MEH = 120°

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 60°.

Row 2:

Given <MEH = 150°

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 150°

<FEM is adjacent to <GEF, thus
$\angle GEF= \frac{360-2(25)}{2} \\ \\ = \frac{360-50}{2} = \frac{310}{2} =155^o$

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 30°.

Row 3:

Given that <FEM = 25°

<FEM is adjacent to <GEF, thus
$\angle GEF= \frac{360-2(25)}{2} \\ \\ = \frac{360-50}{2} = \frac{310}{2} =155^o$

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 155°

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <HEG = 25°.

Row 4:

Given that <HEG = 45°

<HEG is adjacent to <GEF, thus
$\angle GEF= \frac{360-2(45)}{2} \\ \\ = \frac{360-90}{2} = \frac{270}{2} =135^o$

<HEG is vertically opposite to <FEM and thus is equal to <FEM. Thus <FEM = 45°

<MEH is vertically opposite to <GEF and thus is equal to <GEF. Thus <GEF = 135°.

4 0

3 years ago

Read 2 more answers

Point Mis the midpoint of AB. AM = 3x + 3, and AB= 83 – 6.

Ber [7]

Answer:

AM= Half of AB

or, 3x+3=(8x-6)/2

or, 6x+6=8x-6

or, 2x=12

Therefore,x=6

so,AM=3*6+3=21

So the units is 21

4 0

3 years ago

Read 2 more answers