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blsea [12.9K]
2 years ago
14

A group of friends were working on a student film that had a budget of $640. They

Mathematics
2 answers:
otez555 [7]2 years ago
8 0

15% was spent on props, rest on equipment 100 - 15 = 85% on equipment

.85 * 640 = $544 spent on equipment

sp2606 [1]2 years ago
4 0

Answer:

$544

Step-by-step explanation:

15% of 640

-----------------------

0.15 x 640

--------------

640 - 96

= 544

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An explosion causes debris to rise vertically with an initial speed of 120 feet per second. The formula h equals negative 16 t s
Novay_Z [31]

Answer:

The debris will be at a height of 56 ft when time is <u>0.5 s and 7 s.</u>

Step-by-step explanation:

Given:

Initial speed of debris is, s=120\ ft/s

The height 'h' of the debris above the ground is given as:

h(t)=-16t^2+120t

As per question, h(t)=56\ ft. Therefore,

56=-16t^2+120t

Rewriting the above equation into a standard quadratic equation and solving for 't', we get:

-16t^2+120t-56=0\\\textrm{Dividing by -8 throughout, we get}\\\frac{-16}{-8}t^2+\frac{120}{-8}t-\frac{56}{-8}=0\\2t^2-15t+7=0

Using quadratic formula to solve for 't', we get:

t=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\t=\frac{-(-15)\pm \sqrt{(-15)^2-4(2)(7)}}{2(2)}\\\\t=\frac{15\pm \sqrt{225-56}}{4}\\\\t=\frac{15\pm\sqrt{169}}{4}\\\\t=\frac{15\pm 13}{4}\\\\t=\frac{15-13}{4}\ or\ t=\frac{15+13}{4}\\\\t=\frac{2}{4}\ or\ t=\frac{28}{4}\\\\t=0.5\ s\ or\ t=7\ s

Therefore, the debris will reach a height of 56 ft twice.

When time t=0.5\ s during the upward journey, the debris is at height of 56 ft.

Again after reaching maximum height, the debris falls back and at t=7\ s, the height is 56 ft.

5 0
3 years ago
Noah spent 24 hours working on his car.He spent 4/5 on his time working on his transmission.How much time did Noah spead working
Dimas [21]

<u>Answer-</u>

<em>Noah spent </em><em>19 hours 12 minutes</em><em> working on the transmission.</em>

<u>Solution-</u>

Noah spent 24 hours working on his car.

He spent \dfrac{4}{5} on his time working on his transmission and rest on other .

So the total time spent by Noah working on the transmission is,

=24\times \dfrac{4}{5}\\\\=\dfrac{96}{5}\\\\=19\dfrac{1}{5}\ \text{hours}\\\\=19\ \text{hours}\ 12\ \text{minutes}

Therefore, Noah spent 19 hours 12 minutes working on the transmission.

4 0
3 years ago
Anne wants to fill 12 hanging baskets with compost. Each hanging basket is a hemisphere of diameter 40 cm.
murzikaleks [220]

Answer:

no

Step-by-step explanation:

Steps to answering this question

  1. determine the volume of the 12 basket

volume of a hemisphere = (2/3)πr^3

n = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = 40/2 = 20 cm

volume of one hemisphere = (2/3) x (22/7) x (20^3) = 16,761.90 cm^3

volume of the 12 baskets = 16,761.90 cm^3 x 12 = 201,142.86 cm^

2. convert the litres of compost to cm and multiply by the total bags of compost

1 litre = 1000cm

1 bag of compost = 50 x 1000 = 50,000

4 bags of compost = 50,000 x 4 = 200,000 cm

3. compare which figure is higher. the figure gotten in step 1 or 2

201,142.86 cm^3 is greater than 200,000

there is no enough compost

473691.4

273691.4

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