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blsea [12.9K]
3 years ago
14

24 litres of lemonade was poured into a rectangular glass tank with a base area of 1200 cm2. Joyce found that the glass tank was

only ⅖ full. What was the height of the lemonade in the glass tank when it was ¾ full?
Mathematics
2 answers:
Gnom [1K]3 years ago
4 0

Answer:

once you find 3/4 of 1200 you will know the answer

Step-by-step explanation:

3/4 of 1200

Gnoma [55]3 years ago
4 0
Divide 3/4 by 1200 and you will find the answers
You might be interested in
Spencer wants to burn 450 calories while biking. Biking burns about 10 calories per minute. When Spencer goes biking, he usually
kupik [55]

Answer:

The equation  to find the total number of minutes (including rest) that Spencer should plan to be out biking is 10(m-15)=450.

Spencer should plan for 60 minutes  to be out biking.

Step-by-step explanation:

Given:

Total calories need to burn = 450 calories

Calories burn per minute = 10

number of minutes he rest = 15

We need to find the total number of minutes (including rest) that Spencer should plan to be out biking.

Solution:

Let Total minutes of biking be 'm'.

So we can say that.

Calories burn per minute multiplied by the difference of total minutes and number of minutes he rest is equal to Total calories need to burn.

framing in equation form we get;

10(m-15)=450

Hence the equation  to find the total number of minutes (including rest) that Spencer should plan to be out biking is 10(m-15)=450.

On Solving the above equation we get;

First we will divide both side by 10 we get;

\frac{10(m-15)}{10}=\frac{450}{10}\\\\m-15=45

Now adding both side by 15 we get;

m-15+15=45+15\\\\m=60\ minutes

Hence Spencer should plan for 60 minutes  to be out biking.

4 0
3 years ago
-2x+15y =-32<br>7x - 5y=17​
solmaris [256]
-2x+15Y=0
7x-5y=0

This is the answer I got it hope it helps
4 0
3 years ago
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
Help Please!! I am not sure what to do?
Iteru [2.4K]

Answer:

10 < \sqrt{111} < 11

Step-by-step explanation:

The square root of 111 is approximately 10.536.

A number smaller than this is 10.

A number larger than this is 11.

5 0
3 years ago
A container shapes like an inverted cone holds 96 cubic centimeters of water. The height of the cup is 14 centimeters. Find the
Korolek [52]

Answer:

Cone Volume = (PI * radius^2 * height) / 3

96 cc = (PI * radius^2 * 14) / 3

(96 * 3) / (PI * 14) = radius^2

radius ^ 2 = 6.5480890872

radius = 2.5589234235

diameter = radius *2 = 5.117846847  cm

diameter = 5.12 cm (rounded)

Step-by-step explanation:

5 0
3 years ago
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