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2 years ago

Write each ratio in the simplest form 35 to 105

Mathematics

1 answer:

Sedaia [141]2 years ago

8 0

Answer: 35:105=1:3

Hope this helps! Have a good day !!! :)

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Megan bought 3 tickets to the ballet for $57.50. how many would it cost for her to buy 15 tickets.

Nutka1998 [239]

Answer: $287.50

Step-by-step explanation:

Find out how much each ticket costs: 57.50/3= 19.17

Multiply that by 15: 19.7x15=287.5

5 0

3 years ago

What is <br> x = b - cd for c ?

adoni [48]

<span>x = b - cd
</span>
Subtract b on both sides

x - b = -cd

Divide both sides by -d

c = $- \frac{x-b}{d}$

4 0

3 years ago

Find the measures of the angles of an isosceles obtuse triangle with one angle that is 32 degrees.

SSSSS [86.1K]

32 degrees, 32 degrees and 116 degrees

4 0

3 years ago

Southwest Co-op produces bags of fertilizer, and it is concerned about impurity content. It is believed that the weights of impu

Harman [31]

Answer:

a) 0.216

b) 0.1587

c) 0.369

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12.2 grams

Standard Deviation, σ = 2.8 grams

We are given that the distribution of weights of impurities per bag is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(contains less than 10 grams of impurities)

P(x < 10)

$P( x < 10) = P( z < \displaystyle\frac{10 - 12.2}{2.8}) = P(z < -0.7857)$

Calculation the value from standard normal z table, we have,

$P(x < 10) =0.216= 21.6\%$

b) P(contains more than 15 grams of impurities)

P(x > 15)

$P( x > 15) = P( z > \displaystyle\frac{15 - 12.2}{2.8}) = P(z > 1)$

$= 1 - P(z \leq 1)$

Calculation the value from standard normal z table, we have,

$P(x > 610) = 1 - 0.8413 = 0.1587 = 15.87\%$

c) P(contains between 12 and 15 grams of impurities)

$P(12 \leq x \leq 15) = P(\displaystyle\frac{12 - 12.2}{2.8} \leq z \leq \displaystyle\frac{15-12.2}{2.8}) \\\\= P(-0.0714 \leq z \leq 1)\\\\= P(z \leq 1) - P(z < -0.0714)\\= 0.841 - 0.472 = 0.369 = 36.9\%$

$P(12 \leq x \leq 15) = 36.9%$

d) The mean divide the data in exactly two parts. Since 15 is farther away from the mean as compared to 10, the probability obtained in part (b) is smaller as compared to probability obtained in part (a).

5 0

4 years ago

How do i solve this equation: 4/5a + 3 = 1/3a - 8

DENIUS [597]

You have to $subtract$ by $\frac{1}{3}a$ on $EACH$ of the $sides$ you're $working$ with!

$\frac{4}{5}a + 3 - \frac{1}{3}a - 8 - \frac{1}{3}a$

Which $gives$ us: $\frac{7}{15}a + 3 = -8$

$Now,$ that we got these $steps$ out of the way, let's $subtract$ $3$ from the sides you're working with!

$\frac{7}{15}a + 3 - 3 \\ = -8 -3$

$\frac{7}{15}(a) = -11$

We have gotten these $steps$ out of the way now lets $multiply$ by $\frac{15}{7}$ on your $sides$ because, it is the $reciprocal$ of $\frac{7}{15}$

So, $\frac{15}{7}( \frac{7}{15}a ) = \frac{15}{7} (-11)$

Cancel out: $\frac{15}{7}( \frac{7}{15} )$ because, it equals to: $1$

$\frac{15}{7}(-11) = \frac{-165}{7}$

Therefore, your $answer$ is: $\frac{-165}{7}$ $aka$ $23\frac{4}{7}$

Good luck on your assignment and enjoy your day

~ $MeIsKaitlyn:)$

5 0

3 years ago