The table shows the multiplication of two linear expressions. Select the correct reason for each step.


Reason 1:

Reason 2:

Reason 3:

Reason 4:

Step-by-step explanation:

The difference beteen 9.2 ounces and 8.1 ounces is  1.1 ounces

   and the difference in price is   .49

       so 1.1 ounces cost .49

           $ .49 / 1.1 oz = $  .445  per ounce

Then Reid's bowl should cost   7.8 oz  * $ .445 / oz = $3.47

Answer:

Step-by-step explanation:

Okay, so first you take 3 × 10∧-6m back to its decimal form, giving you 0.000003. Also, take 4.5×10∧-4m back to its decimal form giving you 0.00045. You then divide 0.00045 by 0.000003 giving you 6.66666 but we then take it to 6.67 × 10∧2 which is the answer.  

Answer:

[tex]\Huge \boxed{ \text{$\frac{1}{15}$}}[/tex]

Step-by-step explanation:

Experimental probability is the probability calculated by performing actual experiments and observing the outcomes. In this case, the experiment is buying juice bottles and checking if they have a winning cap.

To find the experimental probability, we need to divide the number of winning caps (favourable outcomes) by the total number of bottles (possible outcomes).

The experimental probability can be expressed as a fraction:

[tex]\frac{ \text{ \huge Number of Winning Caps}}{\text{ \huge Total Number of Bottles}}[/tex]

Now, let's plug in the numbers you provided:

[tex]\huge \text{ $\frac{4}{60}$}[/tex]

To simplify this fraction, we need to find the greatest common factor (GCF), of the numerator (4) and the denominator (60) and then divide both by the HCF. The HCF of 4 and 60 is 4. So, we divide both the numerator and the denominator by 4:

[tex]\huge \text{ $\frac{4 \div 4}{60 \div 4}$= $\frac{1}{15}$}[/tex]

So, the experimental probability of winning a prize in the contest is [tex]\frac{1}{15}[/tex]. This means that, based on your experiment, there is 1 chance in 15 of finding a winning cap when buying a bottle of juice.

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Answer: hope this helps ♡

The experimental probability of winning a prize in the contest is 1/15.

Step-by-step explanation:

We want to write the probability of winning a prize in the contest.

Here, the number of bottles with a winning cap is 4 and the total (number of bottles) is 60.

Hence, we will write that the experimental probability of winning a prize in the contest is 4/60.

4/60 simplified is:  [tex]\frac{4}{60}=\frac{4 divided by 4}{60dividedby4} = \frac{1}{15}[/tex]

Answer:

The Area of the polygon is 36m².

Step-by-step explanation:

Area of the polygon= Area of rectangle + Area of triangle

Diagram

______________

l. l \

3m |. 3m l. \

|. l. /

|_____________ l /

11m. 2m

( 13m).

Area of rectangle= Length × Width

= 11m × 3m

= 33m²

Area of triangle= ½ × base × height

To find the height= 13m - 11m = 2m

= ½ × 3 × 2

= ½ × 6

= 3m²

Area of the polygon= 33m² + 3m² = 36m²

Answer:

l + w = 40, lw = 300

l(40 - l) = 300

40l - l² = 300

l² - 40l + 300 = 0

(l - 30)(l - 10) = 0

l = 30, w = 10

The length of the field is 30 meters, and the width of the field is 10 meters.

The function for the points are  y = -15x - 5

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is [tex]a=-15b-5[/tex]

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

[tex]a-[/tex][tex]a_{1}[/tex][tex]=x[b-b_{1}][/tex]                                                          

Where we will consider (1/3,0) = [tex]a-a_{1}[/tex] and (0,-5) = [tex]b-b_{1}[/tex]

that is 1/3 = [tex]a[/tex], 0 = [tex]a_{1}[/tex] and

0 = [tex]b[/tex], -5 = [tex]b_{1}[/tex]

[tex]x[/tex] refers to the slope of line (take any variable)

Now for finding the value of [tex]x[/tex],

[tex]x=a-a_{1}/b-b_{1}[/tex]

inserting the values,

[tex]x=[0-[-5]]/[0-1/3]\\x= -15[/tex]

Substitute the value of [tex]x[/tex] in the equation

[tex]a-0=-15[b-1/3][/tex]

By simplifying the equation, we get

[tex]a=-15b-5[/tex]

To know more about functions and points:

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Answer:

70%

Step-by-step explanation:

Since the probability of no rain tomorrow is 30%, that means 30% of the probability is taken up by the chance of no rain.

Since the total probability always adds up to 100%, that means the remaining 70% of the probability must be for rain.'

So the probability that it will rain tomorrow is 70%.

You can verify this with a probability tree diagram:

Total Probability = 100%

No Rain - 30%

▼

More Likely event

▲

Rain - 70%

Since the chance of no rain is 30%, that leaves 70% for the chance of rain.

The probability that it will rain tomorrow is 70%.

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

Given the problem, we need to find the probability that it will rain tomorrow.

Since, the probability of no rain tomorrow is 30%, the probability that it will rain tomorrow is 100% - 30% = 70%.

Hence, the probability that it will rain tomorrow is 70%.

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Answer: They are not the same shape.

Step-by-step explanation: The given figures have two different shapes that is the first one is square in which all the four sides are equal while the second shape is a rectangle in which the the opposite sides are equal, thus making both the figures different from each other.

Answer:

2( (x - 10) (x + 1)

Step-by-step explanation:

First factor out a 2

2([tex]x^{2}[/tex] - 9x - 10)  Then you are trying to find two number that add to -9 and multiply to -10 (-10 and 1)

2(x - 10) ( x + 1)

Helping in the name of Jesus.