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2 years ago

Solve the equation showing each inverse operation step:

Mathematics

1 answer:

valina [46]2 years ago

5 0

Answer:

4 2/7 - 6/7 = 24/

= 3 3/

Step-by-step explanation:

Conversion a mixed number 4 2/

to a improper fraction: 4 2/7 = 4 2/

= 4 · 7 + 2/

= 28 + 2/

= 30/

To find a new numerator:

a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/

= 28/

b) Add the answer from previous step 28 to the numerator 2. New numerator is 28 + 2 = 30

c) Write a previous answer (new numerator 30) over the denominator 7.

Four and two sevenths is thirty sevenths

Subtract: 30/

- 6/

= 30 - 6/

= 24/

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - thirty sevenths minus six sevenths = twenty-four sevenths.

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Consider the two expressions 4b(b+1) and (2b+7)(2b-8). Compare their values if b=-3, b=-2, and if b=10. Is it true that for an v

frutty [35]

Answer:

FIRST EXPRESSION:

- If $b=-3$ , the value of $4b(b+1)$ is $24$

- If $b=-2$ , the value of $4b(b+1)$ is $8$

- If $b=10$ , the value of $4b(b+1)$ is $440$

SECOND EXPRESSION:

- If $b=-3$ , the value of $(2b+7)(2b-8))$ is $-14$

- If $b=-2$ , the value of $(2b+7)(2b-8))$ is $-36$

- If $b=10$ , the value of $(2b+7)(2b-8))$ is $324$

Yes, for any value of "b" the value of the first expression is greater than the value of the second expression.

Step-by-step explanation:

Substitute the given values of "b" into each expression and evaluate.

- For the first expression $4b(b+1)$ , you get:

If $b=-3$ → $4(-3)(-3+1)=24$

If $b=-2$ → $4(-2)(-2+1)=8$

If $b=10$ → $4(10)(10+1)=440$

- For the second expression $(2b+7)(2b-8))$ , you get:

If $b=-3$ → $(2(-3)+7)(2(-3)-8)=-14$

If $b=-2$ → $(2(-2)+7)(2(-2)-8)=-36$

If $b=10$ → $(2(10)+7)(2(10)-8)=324$

You can observe that for any value of "b" the value of the first expression is greater than the value of the second expression.

7 0

3 years ago

A quadrilateral can be inscribed in a circle, if and only if, the opposite angles in that quadrilateral are supplementary.

Setler [38]

The opposite angles are equal to are supplementary to each other or equal to each other.

<h3>What is a Quadrilateral Inscribed in a Circle?</h3>

In geometry, a quadrilateral inscribed in a circle, also known as a cyclic quadrilateral or chordal quadrilateral, is a quadrilateral with four vertices on the circumference of a circle. In a quadrilateral inscribed circle, the four sides of the quadrilateral are the chords of the circle.

The opposite angles in a cyclic quadrilateral are supplementary. i.e., the sum of the opposite angles is equal to 180˚.

If e, f, g, and h are the inscribed quadrilateral’s internal angles, then

e + f = 180˚ and g + h = 180˚

by theorem the central angle = 2 x inscribed angle.

∠COD = 2∠CBD

∠COD = 2b

∠COD = 2 ∠CAD

∠COD = 2a

now,

∠COD + reflex ∠COD = 360°

2e + 2f = 360°

2(e + f) =360°

e + f = 180°.

Learn more about this concept here:

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6 0

2 years ago

PLEASE PLEASE PLEASE I BEG YOUWhich graph is a function of x? On a coordinate plane, a vertical line is at x = negative 3. On a

ki77a [65]

Answer:

On a coordinate plane, a v-shaped graph opens up.

Step-by-step explanation:

If you can draw a vertical line that intersects the graph in more than one place, the graph is NOT a function.

It appears your only function is ...

On a coordinate plane, a v-shaped graph opens up.

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3 years ago

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Novosadov [1.4K]

Answer:

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Step-by-step explanation:

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Alex_Xolod [135]

A gamma ray has a 0 charge

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3 years ago