At the school fete, the drinks sold inthe first hour were recorded:
Cola (27 cans) Lemonade (16 cans)
Orange (12 cans) Lemon (9 cans)
What is the probability the next drink
sold is lemonade?
%

Answers

Answer 1

Answer:

So far, they sold 16 lemonades out of

27+16+12+9=64 drinks.

So, 16/64 = 1/4 of the drinks sold so fare was lemonade. That's the expected probability of someone ordering a lemonade for the next drink.

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a bottle contains 20 fluid ounces of lotion and sells for $5.80. The 20-fluid-ounce bottle contains 125% of the lotion in the next smallest size, which sells for $5.12. Which is the better buy? Explain
How do you get 34 from P = 5s - (100 + 2s) when P = 0 is s ≈ 33.333.
Algebra help please?

What is the square root of 4,096

Answers

the square root for 4096 is 64
Hope this helped :)

Simplify:24/40x

(If anyone thinks I suck at math... Well I kinda agree)

Answers

Hi there! All you have to do is divide 24 and 40 by a GCF which means Greatest Common Factor. A Greatest Common Factor for 24 and 40 is 8. So, 24/8=3 and 40/8=5, Therefore, 24/40x simplified is 3/5x. Hoped I helped. :)

as part of her shop class, Jules made the figure below out of pieces of wood. how much spave does the figure she made take up?

Answers

I suppose you want to find the Volume of this Figure.

you can separate it into two rectangular prisms
one that is 6 by 9 by 24
and the other that is 6 by 9 by 30

you multiply the three numbers to get the volume of each rectangular prism.
6 * 9 * 24 = 1296
6 * 9 * 30 = 1620

then we add the two numbers we got to get the overall volume of the figure
1296 + 1620 = 2916

Therefore the Figure takes up 2916 cm^3 of space.

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How do you graph h < - 3.2 on a number line

Answers

Answer:

Step-by-step explanation:

-3.2, being negative, is to the left of the origin (zero) on a number line. Place an open circle at -3.2. Now draw an arrow from -3.2 to the LEFT. The resulting graph is all you need.

Solve the following equation using the quadratic formulax^2-8x 97 = 0
The answer choices are in the picture

Answers

Answer:

Option B

$x=4+9i$ and $x=4-9i$

Step-by-step explanation:

we have

$x^(2) -8x+97=0$

The formula to solve a quadratic equation of the form $ax^(2) +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^(2)-4ac}} {2a}$

in this problem we have

$x^(2) -8x+97=0$

$a=1\nb=-8\nc=97$

substitute in the formula

$x=\frac{-(-8)(+/-)\sqrt{-8^(2)-4(1)(97)}} {2(1)}$

$x=\frac{8(+/-)√(-324)} {2}$

Remember that

$i^(2) =-1$

$i=√(-1)$

$x=\frac{8(+/-)18i} {2}$

$x=\frac{8(+)18i} {2}=4+9i$

$x=\frac{8(-)18i} {2}=4-9i$

Final answer:

To solve the equation x^2 - 8x + 97 = 0 using the quadratic formula, substitute the coefficients into the formula and simplify the expression. In this case, the equation has no real solutions.

Explanation:

To solve the equation x^2 - 8x + 97 = 0 using the quadratic formula, first identify the coefficients in the equation. The quadratic formula is given by x = (-b ± sqrt(b^2 - 4ac)) / (2a). In this case, a = 1, b = -8, and c = 97. Substitute these values into the quadratic formula and simplify the expression to find the value(s) of x.

Using the quadratic formula, we have x = (-(-8) ± sqrt((-8)^2 - 4(1)(97))) / (2(1)). Simplifying further, we get x = (8 ± sqrt(64 - 388)) / 2. Continuing the simplification, we have x = (8 ± sqrt(-324)) / 2. Since the square root of a negative number is not a real number, the equation has no real solutions.

Therefore, the answer is that there are no real solutions to the equation x^2 - 8x + 97 = 0.