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erik [133]
2 years ago
13

The density of liquid a is 8 pounds per gallon and the density of liquid b is 6 pounds per gallon. what quantity of liquid b wei

ghs the same as 30 gallons of liquid a?
Mathematics
1 answer:
Wittaler [7]2 years ago
5 0

40 gallons of liquid b weighs the same as 30 gallons of liquid a.

<h3>What is density?</h3>

A substance's density is defined as its mass per unit volume (more specifically, the volumetric mass density; also known as specific mass). Although the Latin letter D may also be used, the sign most frequently used for density is (the lower case Greek letter rho). Density is mathematically defined as mass divided by volume.

where m is the mass, V is the volume and D is the density, which is sometimes roughly characterized as weight per unit volume, while this is incorrect scientifically; this quantity is more precisely known as specific weight.

For liquid a,

8= mass/30

For liquid b,

6=mass/volume

For the two masses to be equal,

240=6*volume

volume=240/6

volume=40

Learn more about density here:

brainly.com/question/1354972

#SPJ4

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Which of the following statements is needed in order to prove these triangles are congruent by AAS?
creativ13 [48]

Answer:

RQ\cong UT

Step-by-step explanation:

Two triangles are congruent by AAS postulate if two adjacent corresponding angles are congruent and the next adjacent sides to any of the angles is are also congruent. The adjacent sides should not be in between the two congruent angles.

From the triangles RQS and UTV

\angle R\cong \angle U\\\angle S\cong \angle V

The adjacent side to \angle R is RQ and for \angle U is UT.

Similarly, the adjacent side to \angle S is QS and for \angle V is TV.

So, the possible sides that could be congruent by AAS postulate are:

RQ\cong UT or QS\cong TV

So, the correct option is RQ\cong UT

5 0
3 years ago
Create a proportion using the form %/100 = is/of = to represent the following word problem. 78% of what number is 42?
Aliun [14]

Answer:

.78 x = 42

x = 42 / .78

The number is 53.8461538462


Step-by-step explanation:


6 0
4 years ago
Read 2 more answers
A hot air balloon can hold up to 300 pounds of weight. The balloon's pilot weighs 140 pounds. How many 20-pound bags or sand can
VARVARA [1.3K]

Answer:

8 sand bags can be carried along.

Step-by-step explanation:

First you want to subtract 300-140. That subtracts the pilots weight giving you the maximum weight capacity left. (160) Then you want to divide 160 (the weight that can be carried) by 20 (the weight of the sand bags) after doing that you will get 8. And that is how i got 8 sand bags as my answer.

7 0
3 years ago
Read 2 more answers
The position function for the movement of a particle is given by s=(t^3+1)^2 where s is measure in feet and t is measured in sec
Ray Of Light [21]

Answer:

The position of particle at 1 second is 4 feet.            

Step-by-step explanation:

We are given the following in the question:

s(t)=(t^3+1)^2

where s is a position function and measure in feet and t is measured in seconds.

We have to evaluate the position at 1 second.

Putting t = 1 in the position function, we get.

s(1)=((1)^3+1)^2\\s(1) = 4

Thus, the position of particle at 1 second is 4 feet.

3 0
3 years ago
If the odds against Deborahs winning first prize in a chess tournament are 1 to 11 what is the probability of the event that she
Lemur [1.5K]

Answer: \dfrac{11}{12}

Step-by-step explanation:

Given

The odds against winning in a chess tournament are 1 to 11.

Odds is defined as the ratio of the probability of occurrence to the non-occurrence of event.

\therefore \text{Probability that event will occur is P'=}\dfrac{1}{1+11}\\\\\Rightarrow P'=\dfrac{1}{12}

Probability of non-occurrence i.e. she wins the first prize is

\Rightarrow P=1-\dfrac{1}{12}\\\\\Rightarrow P=\dfrac{11}{12}

7 0
3 years ago
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