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4 years ago

Two variables which have a constant ratio between them are said to be

1 answer:

4 0

A rate

Rate is comparison between ratios. While ratio is comparison between two or more numbers. Further, ratio on one hand, involves numbers either in amount, size, measurement, degrees, percentages or fractions with the absence of specific unit of measurement. On the contrary, rate is comparing quantities, amounts or unit of events happened expressed in a specific measurement or expressed under time. Take for instance, an example, Joe eats 2 while John eats 4 meals in a day. The ratio can be Joe: John, 2:4 meals. While the rate, is Joe eats 2 meals/day and John 4 meals/day.<span> </span>

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Prove each statement that is true and ﬁnd a counterexample for each statement that is false. Assume all sets are subsets of a un

tekilochka [14]

Answer with Step-by-step explanation:

We are given that A, B and C are subsets of universal set U.

We have to prove that

$A\cap (B-C)=(A\cap B)-(A\cap C)$

Proof:

Let x $\in A\cap (B-C)$

Then $x\in A$ and $x\in(B-C)$

When $x\in ( B-C)$ then $x\in B$ but $x\notin C$

Therefore, $x\in( A\cap B)$ but $x\notin (A\cap C)$

Hence, it is true.

Conversely , Let $x\in(A\cap B)$ but $x\notin(A\cap C)$

Then $x\in A$ and $x\in B$

When $x\notin ( A\cap C)$ then $x\notin C$

Therefor, $x\in A\cap (B-C)$

Hence, the statement is true.

5 0

3 years ago

The number of girls in the Middle School Cyber Club was 6 more than double the number of boys, and in total there were 48 middle

Wittaler [7]

Answer:

g = number of girls;

b= number of boys

we know that: g= 6+2b

and that: g+b= 156 kids in total

so we may write g+b=(6+2b)+b=6+3b

but g+b= 156

so 6+3b = 156 => 3b= 156-6=150 => b=150/3=50 => b = 50 (number of boys)

g= 6+2b= 6+2 x 50= 106 => g =106 (number of girls)

Step-by-step explanation:

5 0

3 years ago

A carpenter is making a shelf in the shape of a parallelogram. She begins by drawing parallelogram RSTU on a coordinate plane wi

olchik [2.2K]

The coordinates would be (3, 3).

The slope from R to S is given by

m = (0 - 0)/(-4-1) = 0/-5 = 0

The distance from R to S is 5 units straight across.

This means the slope from T to U will be 0, and it will be a horizontal segment. This means the y-coordinate of U will be 3, since the y-coordinate of T is 3.

The distance from T to U will be 5 as well; -2+5 = 3 for the x-coordinate.

This makes the point (3, 3).

3 0

3 years ago

The members of a cooking club are making cakes, which they will sell at a street fair for $14 apiece. It cost $22 for a booth at

tangare [24]

Is the amount of cakes estimated or rounded??

8 0

4 years ago

A bag has six balls labeled a,b,c,d.e and f . One ball will be randomly picked, and its letter will be recorded as the outcome.

Dvinal [7]

<h3>Sample space = {a,b,c,d,e,f}</h3><h3>Event space = {a,c}</h3>

We simply list all of the letters mentioned as they are the possible outcomes. We can only pick one item from the sample space. The event space is the set of outcomes where we want to happen (picking either an 'a' or 'c').

8 0

3 years ago

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