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kodGreya [7K]
3 years ago
11

The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 11 fl oz per hour. How f

ast was the pipe leaking in gallons per day? Round to the nearest tenth
Mathematics
1 answer:
netineya [11]3 years ago
6 0
Here's what you need to know in order to answer this:

       1 gallon  =  128 fl oz
and      
       1 day  =  24 hours. 
    
Use those facts to invent fractions equal to ' 1 '.
Then use those to change the units of the "11 fl oz per hour".
You can multiply them ... since their value is ' 1 ', they won't
change the value of the "11 fl oz per hour", only the units.

                  (11 fl oz/hr) x (24 hr/da) x (1 gal / 128 fl oz)

               = (11 x 24 x 1 / 128)  (fl-oz - hr - gal) / (hr - da - fl-oz)

               =         2.0625                        gal/da 
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7. What is the cardinality of each of the following sets?
zysi [14]

Answer:  

The cardinality of set (a) is 0,

the cardinality of set (b) is 1

and

the cardinality of set (c) is 3.

Step-by-step explanation:  We are given to find the cardinality of each of the following sets :

(a) { }.

(b) { { } }.

(c) {a, {a}, {a, {a}} }.

We know that

CARDINALITY of a set is the number of elements present in the set.

(a) The given set is A = { }.

The set A is an empty set, so it does not contain any element. Hence, the cardinality of the set A is 0.

(b) The given set is B = { { } }.

The set is B is singleton set, contains only one element (that is empty set). So, the cardinality of the set B is 1.

(c) The given set is C = {a, {a}, {a, {a}} }.

The set C has three elements, a, the set {a} and the set {a, {a}}. So,  the the cardinality of set C is 3.

Thus,

the cardinality of set (a) is 0,

the cardinality of set (b) is 1

and

the cardinality of set (c) is 3.

8 0
3 years ago
Please help and get these points
Masja [62]

Answer:

y = 15x

Step-by-step explanation:

The biggest giveaway here is the other answers have<em> </em>+ a whole number at the end of the equation. We would see this + as a y-intercept on the graph.

Since our line had no y-intercept and starts from zero, y =15x can be used to represent the graph shown

Another way to know this is to look at the points marked on the line. There is a point at (2, 30). By plugging these co-ordinated into y = 15x we get 30 = 30, which makes sense

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3 years ago
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What goes where. JdhshshHshxjancixd
valentina_108 [34]

Answer:

\boxed { \frac{7}{5}y } \to \: \boxed {y+ \frac{2}{5}y }

\boxed { \frac{3}{5}y } \to \: \boxed {y -  \frac{2}{5}y }

Step-by-step explanation:

We need to simplify

y +  \frac{2}{5}y

We collect LCM to get;

\frac{5y + 2y}{5}  =  \frac{7y}{5}

Therefore:

\boxed { \frac{7}{5}y } \to \: \boxed {y+ \frac{2}{5}y }

Also we need to simplify:

y -  \frac{2}{5}y

We collect LCM to get;

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Therefore

\boxed { \frac{3}{5}y } \to \: \boxed {y -  \frac{2}{5}y }

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