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Ostrovityanka [42]
2 years ago
6

Which rational number represents a decrease in water level from 8 feet to 6 feet???

Mathematics
2 answers:
cestrela7 [59]2 years ago
6 0

Answer:

C) -2

Step-by-step explanation:

8 + (-2) = 6

yawa3891 [41]2 years ago
5 0
-2 because 8 plus negative 2 equals 6
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The following exercise refers to choosing two cards from a thoroughly shuffled deck. Assume that the deck is shuffled after a ca
dem82 [27]

Answer:

\frac{4}{663}

Step-by-step explanation:

Given that from a well shuffled set of playing cards (52 in number) a card is drawn and without replacing it, next card is drawn.

A - the first card is 4

B - second card is ace

We have to find probability for

A\bigcap B

P(A) = no of 4s in the deck/total cards = \frac{4}{52} =\frac{1}{13}

After this first drawn if 4 is drawn, we have remaining 51 cards with 4 aces in it

P(B) = no of Aces in 51 cards/51 = \frac{4}{51}

Hence

P(A\bigcap B) = \frac{1}{13} *\frac{4}{51} \\=\frac{4}{663}

(Here we see that A and B are independent once we adjust the number of cards. Also for both we multiply the probabilities)

8 0
2 years ago
Read 2 more answers
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is
anzhelika [568]
You need to solve for one variable in equation 1 and substitute it in equation 2 to solve.

Equation 1: x+y=24
x= number of 3 pt questions
y= number of 5 pt questions
24= Total number of questions

Equation 2: 3x+5y=100
100= Total point value possible on test
3x= point value of 3 pt questions
5y= point value of 5 pt questions

x+y=24
Subtract y from both sides
x=24-y

Substitute in equation 2:
3x+5y=100
3(24-y) +5y=100
72-3y+5y=100
72+2y=100
Subtract 72 from both sides
2y=28
Divide both sides by 2
y=14

Substitute y=14 back in to solve for x:
3x+5y=100
3x+5(14)=100
3x+70=100
Subtract 70 from both sides
3x=30
Divide both sides by 3
x=10

So there are 10 three point questions
There are 14 five point questions.

Hope this helped! :)
6 0
2 years ago
Read 2 more answers
Two percent of the customers of a store buy cigars. Half of the customers who buy cigars buy beer. 25 percent who buy beer buy c
enyata [817]

Answer:

0.95

Step-by-step explanation:

The computation of the probability that a customer neither buys beer nor buys cigars is given below;

Given that, the probabilities are

The customers who purchased cigars be 0.02

The customers who purchased cigars + beer 0.50

And, the customers who purchased beer + cigars be 0.25

Now the probabilities where the customer purchased both

= 0.05 × 0.02

= 0.10

The probability where the customer purchased beer is

= 0.01 ÷ 0.25

= 0.04

Now the probability where a customer neither buys beer nor buys cigars is

= 1 - 0.02 + 0.04 - 0.01

= 0.95

4 0
2 years ago
1. In Suri's coin purse she has 6 dimes and
ollegr [7]

Answer:

The ratios are not equal

Step-by-step explanation:

Let

x ----> the number of dimes

y ----> the number of quarters

we know that

<em> Suri's coin purse</em>

x=6, y=4

The ratio of dimes  to quarters is

\frac{x}{y} =\frac{6}{4}

<em> Martha's coin purse</em>

x=5, y=3

The ratio of dimes  to quarters is

\frac{x}{y} =\frac{5}{3}

Compare the ratios

\frac{6}{4}=\frac{5}{3}\\6(3)=4(5)\\18\neq 20

therefore

The ratios are not equal

3 0
2 years ago
Bradley is returning home from a place that is 2 kilometers away. The function y = 2,000 − 90x represents Bradley's distance fro
Elena-2011 [213]
In an algebraic equation, you should have at least 2 variables: the independent and the dependent. The independent variable in this case, is the parameter that cannot be controlled - time. This is expressed in minutes using the variable x. The dependent variable is the parameter you want to measure - the distance expressed using the variable y. Since the problem states a parameter of distance in terms of 2 kilometers, y=2. Therefore, I think the choices would be about the amount of minutes it would take for Bradley to cover this distance. Assuming this is the case, then the answer would be:
 
2 = 2000 - 90x
90x = 2000-2
90x = 1998
x = 1998/90
x = 22.3 minutes
 
It would take 22.3 minutes for Bradley to cover the 2 kilometers so that he could get home.
4 0
2 years ago
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