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3 years ago

Which are correct represntions of the inequality -3(2x-5)<5(2-x)

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

Answer:

Hence x > 5.

Step-by-step explanation:

Given:-

- 3(2 x -5) < 5(2-x)

<em>5 < x</em>

<em>x > 5</em>

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A ball is thrown into the air with an upward velocity of 36 ft/s. Its height h in feet after t seconds is given by the function

Aloiza [94]

The ball's maximum height is 30.25 feet.

<h3>What is quadratic equation?</h3>

A quadratic equation in math is a second-degree equation of the form ax² + bx + c = 0. Here a, b, are the coefficients, c is the constant term, and x is the variable.

Given:

h= -16t²+36t+10

Differentiate w.r.t. 't',

h' = -32t+36

When h=0, that will be the maximum height

32t= 36

t= 9/8

t= 1.125 sec.

So, The maximum height is

h(1.123)= -16(1.125)² + 36*1.125+10

h(1.125) = 30.25 feet.

Learn more about this concept here:

brainly.com/question/10335037

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5 0

1 year ago

It takes a hose 2 minutes to fill a rectangular aquarium 8 inches long, 10 inches wide, and 14 inches tall. How long will it tak

kari74 [83]

Answer:

66 minutes, or 1 hour and 6 minutes.

Step-by-step explanation:

let us first do the rectangular aquarium:

8 x 10 = 80

80 x 14 = 1120

now the second box

23 x 25 = 575

575 x 33 = 18975

we can divide the boxes volume:

18975/575 = 33

so all we have to do is times 33 by 2 which equals:

66 minutes, or 1 hour and 6 minutes.

4 0

2 years ago

And archaeologist fines 30 fossils in South Dakota and Wyoming. 40% of the fossils were in South Dakota. How many fossils were f

Harrizon [31]

Answer:

It is 12. 12 fossils were found in Wyoming.

Step-by-step explanation:

3 0

3 years ago

Michael saves $423 dollars a month for college.

alexandr1967 [171]

Answer:

(a). $20,000

(b). The estimate will be lower than the actual amount.

Step-by-step explanation:

We have been given that Michael saves $423 dollars a month for college.

(a). We know that 1 year equals 12 months.

4 years = 4*12 months = 48 months.

$\text{Actual amount saved}=\$423\times 48$

Since we are asked to find the estimated amount of money Michael will save in 4 years, so we will estimate both quantities as:

$423\approx 400\\\\48\approx 50$

$\text{Actual amount saved}=\$400\times 50$

$\text{Actual amount saved}=\$20,000$

Therefore, Michael will save approximately $20,000 in 4 years.

(b).

The estimate will be lower than the actual amount as we rounded $423 down $23 to nearest hundred that is $400 and rounded 48 up 2 to nearest ten that is 40.

Therefore, the estimate will be lower than the actual amount.

5 0

3 years ago

Roberta makes $9 an hour plus a 10.5% commission selling jewelry an hour shift in which she sells $880 worth of jewelry. How muc

timama [110]

Answer:

Roberta earns $164.4 on an 8 hr shift.

Step-by-step explanation:

In one hour Roberta makes $9

So if she works for 8 hours she will be making

=> ( 9 X 8)$

=>72$

Also she earns a commission of 10.5% on selling a jewellery worth $880

So 10.5% of 880 is

=> $\frac{10.5}{100}\times 880$

=> $0.105\times 880$

=> 92.4

Hence Roberta will be earning a total amount of

(72+ 92.4)

=>$164.4

3 0

3 years ago