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3 years ago

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An 18-slice pizza was made with only pepperoni and mushroom toppings, and every slice has at least one topping. Exactly ten slic

es have pepperoni, and exactly ten slices have mushrooms. How many slices have both pepperoni and mushrooms

1 answer:

uranmaximum [27]3 years ago

4 0

Answer:

2

Step-by-step explanation:do it on a piese of parer them it will make more sence

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The number of sticks of gum varies directly as the number of packages. There are 36 sticks of gum in 2 packages. Suppose you hav

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Each packet gives you 18 sticks of gum. If you asked how many in 5 packets it would be 90 sticks.

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2 years ago

9. Determine how long it takes for 80% of the material to decay.

Vilka [71]

Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.

The amount of a substance after t days is modeled by:

$A(t) = A(0)e^{-kt}$

In which:

k is the decay rate, as a decimal.

A(0) is the initial amount.

The half-life is of 8 days, hence $A(8) = 0.5A(0)$ , and this is used to find k.

$A(t) = A(0)e^{-kt}$

$0.5A(0) = A(0)e^{-8k}$

$e^{-8k} = 0.5$

$\ln{e^{-8k}} = \ln{0.5}$

$-8k = \ln{0.5}$

$k = -\frac{\ln{0.5}}{8}$

$k = 0.08664339757$

Hence:

$A(t) = A(0)e^{-0.08664339757t}$

The time it takes for 80% of the material to decay it t for which $A(t) = 0.2A(0)$ , hence:

$0.2A(0) = A(0)e^{-0.08664339757t}$

$e^{-0.08664339757t} = 0.2$

$\ln{e^{-0.08664339757t}} = \ln{0.2}$

$-0.08664339757t = \ln{0.2}$

$t = -\frac{\ln{0.2}}{0.08664339757}$

$t = 18.6$

It takes 18.6 days for 80% of the material to decay.

To learn more about exponential functions, you can take a look at brainly.com/question/24906920

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3 years ago

Have an amazing day :) <br> Will give brainlst! Pls help

Assoli18 [71]

Answer:

A. As the Study time in increases the Test score increases.

B. Yes, the relation appears linear. The data points lie mostly on a straight and noticeable line.

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3 years ago

The table contains the lengths of the sides of different triangles. Do the given side lengths form a right triangle?

WARRIOR [948]

Answer:

ans: it's order wise

a) yes

b) no

c) no

d) no

Step-by-step explanation:

use pythagoras theorem

h² = p² + b²

data given satisfying the theorem form right angled triangle

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3 years ago

If you have 3/4 cups of flour how many eighths do you have

Shtirlitz [24]

Just do 3/4 divided by 1/8 - answer should be 6

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3 years ago