Answer: 14 red, 7 green, 44 blue
Step-by-step explanation:
First, use the letter <em>r</em> as a variable to represent the number of red Legos. The number of green Legos (<em>g</em>) is 7 less than the number of red Legos, or <em>g = r-7.</em> The number of blue Legos (b) is 2 more than 3 times the number of red Legos, or <em>b = 3r+2</em>. The total number of Legos is the number of red + green + blue Legos, which can be represented as <em>65 = r+g+b</em>.
Substitute the equations for g and b in. This should give you a final equation of <em>65 = r+(r-7)+(3r+2)</em>. To solve for the number of <u>red</u> Legos, first add up all of the terms to get <em>65 = 5r-5</em>. Now add 5 to each side (70<em> = 5r</em>). Finally, divide each side by 5 (r = 14).
To find the number of <u>green</u> Legos, substitute the number of red Legos (14) into the equation for the green Legos (<em>g = r-7</em>). This should get you the equation <em>g = 14-7</em> which simplifies to g = 7.
To find the number of <u>blue</u> Legos, substitute the number of red Legos (14) into the equation for the blue Legos (<em>b = 3r+2</em>). This gives you the equation <em>b = (3*14)+2.</em> First, multiply 3 and 14 to get <em>b = 42+2</em>. Finally, add them together to get b = 44.
Answer: Ratio as a fraction in simplest form is :
Step-by-step explanation:
Since we have given that
10.8 seconds : 36 feet
As we know that
So, we use it :
10.8 seconds : 36 feet
Hence, Ratio as a fraction in simplest form is :
32 is your initial value, because that is what he starts with
Answer:
$0.34 per ounce
Step-by-step explanation:
A 5 pound box can be changed to ounces. There are 16 ounces in a pound. So we have 5 groups of 16.
5 × 16 is 80 ounces.
There are 80 ounces in 5lbs.
To get a price per ounces, divide.
dollars/ounces
= 27.20/80
= 0.34 dollars/oz.
This is 34cents per ounce.
Answer: "greater than" for each of the 4 dropdown menus
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Explanation:
Divide each value in the table by 40
You should get:
- Horse = 15/40 = 0.375
- Cow = 12/40 = 0.300
- Sheep = 14/40 = 0.350
- Pig = 19/40 = 0.475
Those decimal results are the experimental (ie empirical) probabilities. Theoretically, we should get 1/4 = 0.250 for each sticker type assuming each sticker is likely to be chosen. As you can see, each decimal value shown above is larger than the theoretical target of 0.250, so each answer is "greater than"
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Here's another way to see why this is:
If we had 40 stickers total, and each animal has the same number of stickers, then we should have 40/4 = 10 stickers per animal type. But the table shows each frequency is above 10. So that must directly mean the empirical probability of picking any animal is greater than the theoretical probability.
