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Anon25 [30]
3 years ago
5

Laura is a chemist working with liquids and solutions. She has two large cylindrical barrels that can hold up to 2,000 liters ea

ch. The first barrel contains 900 liters of solution, and the second barrel contains 100 liters of solution. Laura begins draining the first barrel at a rate of 36 liters per minute at the same time she begins filling the second barrel. Laura fills the second barrel with 44 liters of solution every minute. Which inequality represents the seconds, s, when the second barrel contains a greater or equal amount of solution than the first barrel?
Mathematics
1 answer:
EleoNora [17]3 years ago
6 0

Answer:

900 - 0.6s ≤ 100 + 0.73s

Step-by-step explanation:

The left side is the equation for the first barrel containing 900L and draining at 36L/minute. This means that it drains 0.6L/second.

The right side of the equation is for the second barrel containing 100L and filling at 44L/minute. This means that it fills at 0.73L/second.

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A tunnel must be made through a hill. As a result, a surveyor and an engineer create a sketch of the area. The sketch, displayed
Anastasy [175]

Answer:

498 m

Step-by-step explanation:

The AAA theorem states that triangles are similar if all three corresponding angles are equal.

1. Compare triangles FHS and ILS

(a) Reason for similarity

∠F = ∠I = 90°

∠S is common.

∴ ∠H = ∠L

(b) Calculate SL

\begin{array}{rcl}\dfrac{SF}{SH} & = & \dfrac{SI}{SL}\\\\\dfrac{225}{380} & = & \dfrac{225 + 475}{SL}\\\\225SL & = & 380 \times 700\\& = & 266000\\SL & = & \textbf{1182 m}\\\end{array}

2. Compare triangles ILS and GLE

(a) Reason for similarity

∠I = ∠G = 90°

∠L is common.

∴ ∠S = ∠E

(b) Calculate LE

\begin{array}{rcl}\dfrac{IS}{GE} & = & \dfrac{LS}{LE}\\\\\dfrac{700}{180} & = & \dfrac{1182}{LE}\\\\700LE & = & 180 \times 1182\\& = & 212800\\LE & = & \textbf{304.0 m}\\\end{array}

3. Calculate EH

               LE + EH + HS = LS

304.0 m + EH + 380 m = 1182 m

                  EH + 684 m = 1182 m

                                 EH = 498 m

The distance from E to H is 498 m.

 

5 0
4 years ago
The green darner is one of the largest dragonflies. It weighs about four hundredths of an ounce. Write four hundredths in standa
Tju [1.3M]

Answer:

Four hundredths

In standard form - 4\times 10^{-2}

Step-by-step explanation:

Given : The green darner is one of the largest dragonflies.

It weighs about four hundredths of an ounce.

To write : Four hundredths in standard form.

Solution :

Standard form is when we write a larger number in a smaller way.

For example : 20000= 2\times 10^4

So, according to question

Largest dragonflies weighs about four hundredths of an ounce.

Four hundredths means 0.04

In standard form - 4\times 10^{-2}

7 0
3 years ago
Diana works at a clothing store. she sold 1/5 of the total number of green shirts on Monday and 3/12 of the total number of gree
Doss [256]

Answer:

Step-by-step explanation:

3/12 really is 1/4  (Divide top and bottom by 3) 3/3 = 1 and 12/3 = 4

1/5 + 1/4 = 4/20 + 5/20 = 9/20

There is something we don't know about this question. If you put a remark, I will come back and look at it.

6 0
3 years ago
Identify a pair of perpendicular lines in the given figure.
Ksju [112]

the answer is c

Step-by-step explanation:

because lines q and s are perpendicular to each other

4 0
3 years ago
What is the slope of the equation: x = -2
Harrizon [31]

Answer:

undefined

Step-by-step explanation

it is a vertical line and has no defined slope

5 0
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