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3 years ago

Simplify. Show your work. 5 1/3 + (-3 9/18)

Mathematics

2 answers:

Feliz [49]3 years ago

6 0

Answer: Simplified form is

$1\frac{5}{6}$

Step-by-step explanation:

Since we have given that

$5\frac{1}{3}-3\frac{9}{18}$

Now, we will simplify it with the following steps :

$5\frac{1}{3}-3\frac{9}{18}\\\\=\frac{16}{3}-3\frac{1}{2}\\\\=\frac{16}{3}-\frac{7}{2}\\\\=\frac{32-21}{6}\\\\=\frac{11}{6}\\\\=1\frac{5}{6}$

Hence, simplified form is

$1\frac{5}{6}$

FromTheMoon [43]3 years ago

5 0

Make 1/3 = 6/18. 5 + (-3) = 2. 6/18 + 9/18 = 15/18. Simplify 15/18 divide each number by 3. 15 / 3 = 5/ 18 / 3 = 6. 5/6 All together the answer is 2 5/6

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Set A contains 35 elements and set B contains 22 elements. If there are 40 elements in (A ∪ B) then how many elements are in (A

Leona [35]

Answer:

Step-by-step explanation:

The computation of the number of elements are in (A ∩ B) is shown below;

Given that

Set A contains 35 elements

And, set B contains 22 elements

Now if there are 40 elements in (A ∪ B)

So, the number of elements are in (A ∩ B) is

= 35 + 22 - 40

= 17

5 0

3 years ago

Solve this please quickly

Volgvan

Answer:

1. m∠B=110°

2. 560 cm3

3. Numerical data

4. 2000 cm3

5. 50%

Step-by-step explanation:

1. The explanation of part 1 is given in the attachment.

2. Given dimensions : 10 cm, 8 cm, and 7 cm.

Let Length of cuboid =10 cm

breadth/width of cuboid =8 cm

height of cuboid = 7cm

Volume of cuboid = length *width* height

=( 10 *8*7) cm3

=(560) cm3

3. Age, Birth date and weight are the types/examples of "Numerical Data" because these all are describe in terms of numeric values.

4. 1 liter = 1000 cm3 or 1 cm3 = 0.001 liter

1.5 liters =(1.5*1000) cm3 = (15*100) =1500 cm3

1 dm3 =1000 cm3

0.35 dm3 = (0.35*1000) cm3 = (35*10) cm3 =350 cm3

Given expression: 1.5 litre + 0.35 dm3 + 150 cm3 = cm3

1500 cm3 + 350 cm3 +150 cm3 = 2000 cm3

5. If A=(1/2)B, then B : A = 50 %

Ratio: B : A

B : (1/2) B

1: (1/2)

50 % (The value of A is half of the value of B)

Download docx

6 0

3 years ago

Is Abc A right triangle? (HELP)

ollegr [7]

<h2>Hello There today we will solve your problem</h2>

Response-

ABC is absolutely a right triangle

we can use the pythagorean theorem to solve this

<h3>Definitions</h3>

Right Triangle - A right triangle or right-angled triangle, or more formally an orthogonal triangle, is a triangle in which one angle is a right angle. The relation between the sides and other angles of the right triangle is the basis for trigonometry. The side opposite to the right angle is called the hypotenuse.

Pythagorean Theorem - In mathematics, the Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

_________________

To use to the Pythagorean Theorem it is

$A^2+B^2=C^2$