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3 years ago

Write the following comparison as a ratio reduced to lowest terms 9 nickels to 3 dimes

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

7 0

Answer:

3 : 2

Step-by-step explanation:

We are asked to calculate as a ratio 9 nickels to 3 dimes reduced to lowest terms.

One nickel means $0.05 and one dime means $0.10.

So, 9 nickels is equal to $(0.05 × 9) = $0.45

And 3 dimes is equal to $(0.10 × 3) = $0.30

Therefore, the ratio will become 0.45 : 0.30 ≡ 3 : 2 (Answer)

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You eat five slices of bread your friend eats two slices fewer than you write an expression that describes the number of slices

lianna [129]

Answer:

No. Of slices my friend eats = No. Of slices eaten by me - No. Of slices my friend eats fewer than me

= 5 - 2

= 3

Hope this helps!

5 0

3 years ago

What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)?

Softa [21]

Hi!

<h3>The equation of point slope form is</h3>

We need to find s and b

s = slope

b = y intercept

-------------------------------

<h3>To find the slope, use this formula. </h3>

$\frac{y2-y1}{x2-x1}$

Put in the values.

$\frac{-8-(-10)}{-6-(-7)} = \frac{2}{1}simplify = 2$

The slope is 2.

------------------------------------

<h3>Now we need to find the y intercept. Put in a point, and solve for b. </h3>

-8 = 2 * -6 + b

-8 = -12 + b

4 = b

The y intercept is 4.

<h2>The answer y = 2x + 4</h2>

Hope this helps! :)

-Peredhel

6 0

3 years ago

Solve x2 + 6x + 7 = 0. (2 points)

Alexandra [31]

Option C: $$x=-3 \pm\sqrt{2}$

Solution:

Given equation is $x^{2}+6 x+7=0$ .

This is a quadratic equation.

Here a = 1, b = 6, c = 7

To solve the given equation by quadratic formula,

$$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Substitute the given values in the quadratic formula, we get

$$x=\frac{-6 \pm \sqrt{6^{2}-4 (1) (7)}}{2 (1)}$

$$x=\frac{-6 \pm \sqrt{36-28}}{2 }$

$$x=\frac{-6 \pm \sqrt{8}}{2 }$

$$x=\frac{-6 \pm2 \sqrt{2}}{2 }$

$$x=\frac{2(-3 \pm\sqrt{2})}{2 }$

2 in the numerator and denominator are cancelled.

$$x=-3 \pm\sqrt{2}$

Option C is the correct answer.

8 0

3 years ago

A pharmaceutical company receives large shipments of aspirin tablets. The acceptance sampling plan is to randomly select and tes

Pavel [41]

Answer:

0.818

Step-by-step explanation:

Since the shipment has a ton of aspirin tablets, we can assume that we pick 13 of them <em>with</em> <em>reposition, </em>because the probability shoudn't change dramatically from the probability of picking without reposition if we do so.

We call D the amount of defective tablets. If we assume that we pick the tablets with reposition, then we obtain that D is a random variable of Binomial distribution with parameters 13 and 0.6 (the probability of picking a defective tablet).

We want D to be at most one. To calculate the probability of that event we add up the probability of D being equal to 0 and the probability of D being equal to one. Since D is binomial, we have

$P(D = 0) = (1-0.06)^{13} = 0.447$
$P(D = 1) = {13 \choose 1} * 0.06^1 * (1-0.06)^{12} = 13*0.06*0.94^{12} = 0.371$

We conclude that

$P(D \leq 1) = P(D = 0) + P(D = 1) = 0.447+0.371 = 0.818$

Hence, the shipment will be accepted with probability 0.818

<em>I hope this helps you!</em>

6 0

3 years ago

1)four congruent circular holes with a diameter of 2in were punched out of a piece of paper,what is the area of the paper that i

Vesna [10]

For this case we first calculate the area of the complete rectangle.
We have then:
A1 = (8.5) * (11)
A1 = 93.5
Then, we calculate the area of each circle:
A2 = pi * r ^ 2
A2 = (3.14) * (2/2) ^ 2
A2 = 3.14
The total area is given by:
A = A1 - 4 * A2
A = 93.5 - 4 * (3.14)
A = 80.94 in ^ 2
Answer:
A) 80.94

7 0

3 years ago

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