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3 years ago

What is the greatest common factor of 15 and 30

Mathematics

1 answer:

storchak [24]3 years ago

5 0

It is 15 because it goes into both numbers

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Which of the following equations is equivalent to 2/3 x - 1/2 y = 6? 2x - y = 6 2x - y = 36 4x - 3y = 36

boyakko [2]

Answer: THE LAST OPTION

Step-by-step explanation:

1. You have the following equation given in the problem:

$\frac{2}{3}x-\frac{1}{2}y=6$

2. If you multiply both sides of the equation shown above by 6, you obtain the following:

$\frac{2*6}{3}x-\frac{1*6}{2}y=6*6$

$\frac{12}{3}x-\frac{6}{2}y=36$

3. When you simplify the equation, you obtain the following equivalent equation:

$4x-3y=36$

5 0

2 years ago

This is Daniela’s work to solve the equation 13 x + 42 = 276.

Yuliya22 [10]

Answer:
Subtraction property of equality.

4 0

2 years ago

Read 2 more answers

Can someone please check my answers I WIILL GOVE BRAINLY TO FIRST PERSON THAT ANSWERS!

Rainbow [258]

The first is C. r = 4(4/9)
the second one is B. h = 130
the second one is A. k = 7

i’m so sorry, they’re all wrong

5 0

3 years ago

If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?

Oduvanchick [21]

$\large\underline{\sf{Solution-}}$

<u>Given:</u>

$\rm \longmapsto x = a \sin \alpha \cos \beta$

$\rm \longmapsto y = b \sin \alpha \sin \beta$

$\rm \longmapsto z = c\cos \alpha$

Therefore:

$\rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta$

$\rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta$

$\rm \longmapsto \dfrac{z}{c} = \cos \alpha$

Now:

$\rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} }$

$\rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha$

$\rm = 1$

<u>Therefore:</u>

$\rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1$

5 0

2 years ago

Eric and his two sister shared amount of money in ratio2:7 respectively. If Eric had 300.00 and the remaining amount shared equa

photoshop1234 [79]

Answer:

The equal amount is 525 .

Step-by-step explanation:

Given that,

Eric and his two sister shared amount of money in ratio2:7 respectively.

Amount with Eric = 300

It means,

2x = 300

x = 150

So,

7x = 7(150)

= 1050

As the remaining amount shared equally among the sister. So, the equal amount is 525 .

7 0

2 years ago