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krek1111 [17]
3 years ago
13

Y is directly proportional to x when y=30, x=6

Mathematics
1 answer:
lbvjy [14]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Given that y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportionality

To find k use the condition when y = 30, x = 6

k = \frac{y}{x} = \frac{30}{6} = 5

y = 5x ← equation of proportionality

When x = 12, then

y = 5 × 12 = 60

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B. If some amount of water contains 1400 oxygen atoms, how many hydrogen atoms does it contain?
Genrish500 [490]

Answer:

B: 2800 hydrogen atoms

C: 6760 hydrogen atoms

D: y=amount of oxygen atoms*2

Step-by-step explanation:

B: We know the formula for water is H2O. SO that means that there is 2 hydrogen atoms and 1 oxygen atom. So there is 2 times the amount of hydrogen atoms so we can do 1400*2=2800, So there is 2800 hydrogen atoms in the water.

C: Same thing as B. 3380*2=6760

D: y=amount of oxygen atoms*2. Because there is one oxygen atom and two hydrogen atoms so 1*2=2.

5 0
3 years ago
Shrina is selling cookie dough for her soccer team. She sold 2 tubs of
Inga [223]

Answer: 22

Step-by-step explanation:

She sold two tubs of Oatmeal Raisins and it's 6 dollars a tub so we can do 6*2 or 6+6 (doesn't matter). We get $12. Then, she also sells 2 tubs of Peanut Butter, and since it's $5 a tub, then we do 5*2 or 5+5 to get 10. We add 12 and 10 (12+10) and get 22.

I'm not sure if this is right because you added $22, $24, $20, and $11 and I'm not sure what the purposes of those are.

6 0
3 years ago
Which of the following is the result of the equation below after completing
ICE Princess25 [194]

Answer:

C

Step-by-step explanation:

{x}^{2}  + 5x + 8 = 4 \\  =  >  {x}^{2}  + 2 \times  \frac{5}{2}  \times x +  \frac{25}{4}  +  \frac{7}{4}  = 4 \\  =  >  ({x +  \frac{5}{2} }^{2} ) +  \frac{7}{4}  = 4 \\  =  > ({x +  \frac{5}{2} }^{2} ) =  \frac{9}{4}

6 0
3 years ago
Select each transformation that carries a square onto itself. <br> please i need help :(
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5 0
3 years ago
Read 2 more answers
Give the properties for the equation -2x 2 - y + 10x - 7 = 0.
Sladkaya [172]

Given:

The quadratic equation is

-2x^2-y+10x-7=0

To find:

The vertex of the given quadratic equation.

Solution:

If a quadratic function is f(x)=ax^2+bx+c, then

Vertex=\left(\dfrac{-b}{2a},f(\dfrac{-b}{2a})\right)

We have,

-2x^2-y+10x-7=0

It can be written as

-2x^2+10x-7=y

y=-2x^2+10x-7           ...(i)

Here, a=-2,b=10,c=-7.

\dfrac{-b}{2a}=\dfrac{-10}{2(-2)}

\dfrac{-b}{2a}=\dfrac{-10}{-4}

\dfrac{-b}{2a}=\dfrac{5}{2}

Putting x=\dfrac{5}{2} in (i), we get

y=-2(\dfrac{5}{2})^2+10(\dfrac{5}{2})-7

y=-2(\dfrac{25}{4})+\dfrac{50}{2}-7

y=\dfrac{-50}{4}+25-7

y=\dfrac{-25}{2}+18

On further simplification, we get

y=\dfrac{-25+36}{2}

y=\dfrac{11}{2}

So, the vertex of the given quadratic equation is \left(\dfrac{5}{2},\dfrac{11}{2}\right).

Therefore, the correct option is A.

3 0
2 years ago
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