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3 years ago

6

Tara and her friends order a pizza. Tara eats 3 of the 10 slices and pays $4.20 for her share. assuming that Tara had paid at le

ast her fair share, write an inequality for how much the pizza could have cost

1 answer:

Mariulka [41]3 years ago

6 0

$4.20 = 3/10 of pizza
1/10 = $4.20 ÷3
10/10 = [$4.20 ÷3] ×10

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John and his family went out to eat at their favorite restaurant. The bill for the food was $65.00, and

kicyunya [14]

Answer:

$76.70 is the answer.

Step-by-step explanation:

18% of 65.00 is 11.70. I added 11.70 to $65.00, and got 76.70.

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3 years ago

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If you start with 85 milligrams of Chromium 51, used to track red blood cells, which

zysi [14]

About 92 days are taken for 90 % of the material to <em>decay</em>.

The mass of radioisotopes ( $m$ ), measured in milligrams, decreases exponentially in time ( $t$ ), measured in days. The model that represents such decrease is described below:

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ (1)

Where:

$m_{o}$ - Initial mass, in milligrams.
$m(t)$ - Current mass, in milligrams.
$\tau$ - Time constant, in days.

In addition, the time constant is defined in terms of half-life ( $t_{1/2}$ ), in days:

$\tau = \frac{t_{1/2}}{\ln 2}$ (2)

If we know that $m_{o} = 85\,mg$ , $t_{1/2} = 27.7\,d$ and $m(t) = 8.5\,mg$ , then the time required for decaying is:

$\tau = \frac{t_{1/2}}{\ln 2}$

$\tau = \frac{27.7\,d}{\ln 2}$

$\tau \approx 39.963\,d$

$t = -\tau \cdot \ln \frac{m(t)}{m_{o}}$

$t = -(39.963\,d)\cdot \ln \frac{8.5\,mg}{85\,mg}$

$t\approx 92.018\,d$

About 92 days are taken for 90 % of the material to <em>decay</em>.

We kindly invite to check this question on half-life: brainly.com/question/24710827

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2 years ago

Please help right away

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Answer:

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3 years ago

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. The number of $0.45 comic b

Anna007 [38]

Answer:

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the unknowns or unknown variables are:

x: number of $ 0.45 comic books

y: number of $ 0.75 comic books

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. Then the equation that represents this situation is:

x*0.45 + y*0.75= 9

On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books. Then the equation that represents this situation is:

x+4=y

The system of equations to solve is:

$\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.$

One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.

In this case we directly replace the expression of the variable and of the second equation in the first:

x*0.45 + (x+4)*0.75= 9

Solving:

x*0.45 + 0.75*x + 4*0.75= 9

1.2*x + 3=9

1.2*x= 9-3

1.2*x= 6

x= 6÷ 1.2

x=5

Replacing this value in the expression x+4=y you get:

5 +4=y

9=y

<u><em>The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books</em></u>

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3 years ago

Theoretical probabilities are Select one: a. the relative frequencies based on an experiment. b. the short-run relative frequenc

luda_lava [24]

Answer:

Theoretical probabilities are the long-run relative frequencies based on an experiment.

Step-by-step explanation:

Relative frequency or experimental probability is calculated from the number of times an event happens, divided by the total number of trials in an actual experiment.

With theoretical probability, you don't experiment. Instead, you use what you know about the situation to determine the probability of an event occurring.

Experimental probability approaches theoretical probability when the number of trials is extremely large.

Therefore, theoretical probabilities are the long-run relative frequencies based on an experiment.

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3 years ago