Step-by-step explanation:
Probability that Dan chooses a Green card = 0.2
Probability that Esther chooses a Green card = 0.2 (same set of cards = same probability)
Since they are independent events,
total probability = 0.2 * 0.2 = 0.04.
The <u><em>correct answer</em></u> is:
The equation is 7(c-0.75) = 2.80, and the regular price of a cookie is c = $1.15.
Explanation:
c is the regular price of a cookie. We know that today they are $0.75 less than the normal price; this is given by the expression c-0.75.
We also know if we buy 7 of them, the total is $2.80. This means we multiply our expression, c-0.75, by 7 and set it equal to $2.80:
7(c-0.75) = 2.80
To solve, first use the distributive property:
7*c-7*0.75 = 2.80
7c-5.25 = 2.80
Add 5.25 to each side:
7c-5.25+5.25 = 2.80+5.25
7c = 8.05
Divide each side by 7:
7c/7 = 8.05/7
c = $1.15.
Answer:
20 +4√2
Step-by-step explanation:
Find the total area the regular pyramid = A + 1/2ps
A is the Base area
p is the perimeter of the base
s is slant height
A = 1/2 * 4 * 4
A = 16/2
A = 8
p = 4 + 4 + (√4^2+4^2)
p = 8 + √32
p = 8 + 4√2
s = 4
Substitute
TSA = 8 + 8 + 4√2 + 4
TSA = 20 +4√2
Hence the total surface area is 20 +4√2
Answer: x = 7
`Step-by-step explanation:
Because the figure shows two triangles that are similar. we can write and solve an equation of ratios:
9 cm 72 cm
----------- = -----------
3x - 20 56 cm
Cross-multiplying, we get (3x - 20)(72 cm) = (9 cm)(56 cm) = 504 cm²
Dividing both sides by 72 cm, we get:
3x - 20 = (504 cm²) / (72 cm) = 7
Then 3x - 20 = 7, and 3x = 27. Then x must be 9.
