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sesenic [268]
2 years ago
14

Write two numbers that multiply to −33 and add to 8

Mathematics
1 answer:
cupoosta [38]2 years ago
3 0

Answer:

-3 and 11

Step-by-step explanation:

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Joe worked 12 hours and packed 32 cartons. Bob worked 25 hours and packed 64 cartons. Did Joe and Bobwork at the same rate?O YES
Bas_tet [7]

To be able to compare the rates, we will write them in fraction form.

The fraction that represents Joe's rate is:

\frac{32}{12},

and the fraction that represents Bob's rate is:

\frac{64}{25}\text{.}

Simplifying the above fractions, we get:

\begin{gathered} \frac{32}{12}=\frac{8}{3}, \\ \frac{64}{25}=\frac{64}{25}\text{.} \end{gathered}

Since:

\frac{8}{3}\ne\frac{64}{25}

then Bob and Joe did not work at the same rate.

Answer:

No, Bob and Joe did not work at the same rate.

4 0
1 year ago
. The Empire State Building is a 102-story skyscraper. Its height is 1,250 ft. from the ground to the roof. The length and width
Aleks [24]

Answer: a) Dimensions of miniature is 0.17 × 0.08 × 0.5, b) 0.006 ft³.

Step-by-step explanation:

Since we have given that

Height of building = 1250 feet

Length of building = 424 ft

Width of building = 187 ft

Now, we know that The miniature version is just 1/ 2500 of the size of the original.

So, Height of miniature would be

\dfrac{1250}{2500}=0.5\ ft

Length of miniature would be

\dfrac{424}{2500}=0.17\ ft

Width of miniature would be

\dfrac{187}{2500}=0.08\ ft

a) What are the dimensions of the miniature Empire State Building?

Dimensions of miniature is 0.17 × 0.08 × 0.5

b. Determine the volume of the miniature building. Explain how you determined the volume.

Volume=0.5\times 0.08\times 0.17=0.006\ ft^3

Hence, a) Dimensions of miniature is 0.17 × 0.08 × 0.5, b) 0.006 ft³.

6 0
3 years ago
A jar contains 8 marbles numbered 1 through 8. an experiment consists of randomly selecting a marble from the jar, observing the
zepelin [54]
There are 8 possible outcomes for a marble being drawn and numbered. 
{1,2,3,4,5,6,7,8}
There are 4 possible outcomes for a card being selected from a standard deck.
{ <span>hearts, diamonds, clubs, spades}
So the number of outcomes in the sample space would be 8 x 4 = 32.

In the event "an even number is drawn", there are only 4 possible outcomes for a marble being drawn, {2,4,6,8}, whereas there are still 4 possible outcomes for a suit. So the number of outcomes in the event is 4 x 4 = 16.

</span><span>In the event "a number more than 2 is drawn and a red card is drawn", there are 6 possible outcomes for the marble being drawn, {3,4,5,6,7,8}, whereas there are only two possible suits for a card being selected as red, {heart, diamond}. So the number of outcomes in this event is 6 x 2 = 12.

In the event </span><span>"a number less than 3 is drawn or a club is not drawn", the number drawn could be 1 or 2 whereas a spade/heart/diamond could be selected. So the number of outcomes is 2 x 3 = 6.</span><span>

</span>
3 0
2 years ago
The diameter of circle x is 15 centimeters.
rjkz [21]

Answer:

15.7 cm

Step-by-step explanation:

Circle x's circumference is 15 * pi = 47.1 cm

Circle y's is 20 * pi = 62.8

The difference is 62.8 - 47.1 = 15.7

5 0
2 years ago
The rate at which the temperature is dropping is 6t 5t2 degrees Celsius per hour t hours after sundown. How much had the tempera
Whitepunk [10]

Using a differential equation, it is found that the temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.

<h3>What is the differential equation that describes the temperature in t hours after sundown?</h3>

The rate at which the temperature is dropping is 6t + 5t^2 degrees Celsius per hour t hours after sundown, hence the <em>differential equation</em> is:

\frac{dT}{dt} = 6t + 5t^2

Applying <em>separation of variables</em>, we find the solution as follows:

\frac{dT}{dt} = 6t + 5t^2

dT = (6t + 5t^2) dt

\int dT = \int (6t + 5t^2) dt

T(t) = \frac{5t^3}{3} + 3t^2 + T(0)

In which T(0) is the temperature at sundown.

In 3 hours, the change will be of:

C = T(3) - T(0) = \frac{5t^3}{3} + 3t^2|_{t = 3}

Hence:

\frac{5(3)^3}{3} + 3(3)^2 = 45 + 27 = 72

The temperature dropped 72 degrees Celsius between sundown and 3 hours after sundown.

You can learn more about differential equations at brainly.com/question/24348029

5 0
2 years ago
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