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3 years ago

10

Cedro bought 10 ounces of Cereal A for $2.25. Then he bought 15 ounces of Cereal B for $3.30. Which cereal is less expensive?

1 answer:

miv72 [106K]3 years ago

5 0

Answer:

Cereal B.

Step-by-step explanation:

To figure out how much it costs per ounce for each cereal, first we need to divide.

Cereal A: $2.25 / 10 = $.225 per ounce

Cereal B: $3.30 / 15 = $.22 per ounce

So, cereal B is less expensive.

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That it tells you theres a chance you can lose,win or half/half.

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Step-by-step explanation:

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2 years ago

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A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a

grigory [225]

Answer:

The medals can be awarded in 1,320 possible ways.

Step-by-step explanation:

Given that a gold, a silver, and a bronze medal are awarded in an Olympic event, to determine in how many possible ways can the medals be awarded for a 200-meter sprint in which there are 12 runners, the following calculation must be performed:

12 x 11 x 10 = X

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Therefore, the medals can be awarded in 1,320 possible ways.

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3 years ago

50 POINTS!! Drag each label to the correct location on the image. Not all labels will be used. The values of a, b, and c in scie

serg [7]

Answer:

$\boxed{a*b = 1.60 * 10^2}$

$\boxed{a/b = 7.53 * 10^{-14}}$

$\boxed{c/a = 1.59 * 10^{13}}$

Step-by-step explanation:

a = $3.47 * 10^{-6}$

b = $4.61 * 10^7$

c = $5.52*10^7$

<u><em>Finding a*b:</em></u>

a*b =( $3.47 * 10^{-6}$ )*( $4.61 * 10^7$ )

= (3.47*4.61) * ( $10^{-6}*10^7$ )

When bases are same, powers are to be added

= 15.997 * $10^{-6+7}$

= 15.997 * $10^1$

= 159.97

Rounding it off

=> 1.60 * 10²

<u><em>Finding a/b:</em></u>

=> $\frac{3.47*10^{-6}}{4.61*10^7}$

Using rule of exponents $a^m/a^n = a^{m-n}$

=> 0.753 * $10^{-6-7}$

=> $7.53*10^{-1}*10^{-13}$

=> $7.53 * 10^{-1-13}$

=> 7.53 * 10⁻¹⁴

<u><em>Finding c/a:</em></u>

=> $\frac{5.52 * 10^7}{3.47*10^{-6}}$

=> 1.59 * $10^{7+6}$

=> 1.59 * 10¹³

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3 years ago

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If vectors i+j+2k, i+pj+5k and 5i+3j+4k are linearly dependent, the value of p is what?

IRINA_888 [86]

Answer:

$p = 2$ if given vectors must be linearly independent.

Step-by-step explanation:

A linear combination is linearly dependent if and only if there is at least one coefficient equal to zero. If $\vec u = (1,1,2)$ , $\vec v = (1,p,5)$ and $\vec w = (5,3,4)$ , the linear combination is:

$\alpha_{1}\cdot (1,1,2)+\alpha_{2}\cdot (1,p,5)+\alpha_{3}\cdot (5,3,4) =(0,0,0)$

In other words, the following system of equations must be satisfied:

$\alpha_{1}+\alpha_{2}+5\cdot \alpha_{3}=0$ (Eq. 1)

$\alpha_{1}+p\cdot \alpha_{2}+3\cdot \alpha_{3}=0$ (Eq. 2)

$2\cdot \alpha_{1}+5\cdot \alpha_{2}+4\cdot \alpha_{3}=0$ (Eq. 3)

By Eq. 1:

$\alpha_{1} = -\alpha_{2}-5\cdot \alpha_{3}$

Eq. 1 in Eqs. 2-3:

$-\alpha_{2}-5\cdot \alpha_{3}+p\cdot \alpha_{2}+3\cdot \alpha_{3}=0$

$-2\cdot \alpha_{2}-10\cdot \alpha_{3}+5\cdot \alpha_{2}+4\cdot \alpha_{3}=0$

$(p-1)\cdot \alpha_{2}-2\cdot \alpha_{3}=0$ (Eq. 2b)

$3\cdot \alpha_{2}-6\cdot \alpha_{3} = 0$ (Eq. 3b)

By Eq. 3b:

$\alpha_{3} = \frac{1}{2}\cdot \alpha_{2}$

Eq. 3b in Eq. 2b:

$(p-2)\cdot \alpha_{2} = 0$

If $p = 2$ if given vectors must be linearly independent.

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3 years ago