All categories

3 years ago

Which expression is equivalent to 20-4x/4 a. 5-xb. 5-4xc. 20-xd. 80-16x

Mathematics

2 answers:

Reil [10]3 years ago

3 0

If you simplify the problem, you're left with 5-x (20\4=5 and -4x\4=-x)

Nutka1998 [239]3 years ago

3 0

The answer is C. 20-x

You might be interested in

The following parts refer to the letters: LAMEFIREALARM. Recall that "word" means distinguishable letter arrangements. (a) How m

larisa86 [58]

Answer:

Step-by-step explanation:

The word "LAMEFIREALARM" word consists of

2L , 2M, 2E , 2R , 3A , F and I

no of words with the above letters such that M's are not together

=Total No of words- M's are together

Total no of words $=\frac{13!}{4\times 2!\times 3!}=64,864,800$

When M's are together . considering 2 M's as one

therefore there are $\frac{12!}{3\times 2!\times 3!}=9,979,200$

No of ways $=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}=54,885,600$

(b)No of ways such that M's are separated by at least 2 letters

at least 2 letter means 2 letter, 3 letter ......11 letters

So we have to subtract no of ways where there are 1 letter in between M's from total no of ways where 2 M's are not next to each other

No of ways in which there is 1 letter between 2 M's

This can be done by considering 11 cases

In first case Place first M in Starting Position and 2 M on third place

Second case place First M in 2 nd Position and second M on 4 th place

Similarly For 11th case

Place first M in 11th place and second M on 13th place

Total ways

$=\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}$

So , the total number of arrangements of the letters of the word LAMEFIREALARM where the two M's are separated by atleast two letters is

$=\frac{13!}{4\times 2!\times 3!}-\frac{12!}{3\times 2!\times 3!}-\frac{11\times 11!}{3!\times 2!\times 2!\times 2!}$

$=45738000$

7 0

3 years ago

Which number comes next in this series A) 4 B) 21 C) 31 D) 34

Greeley [361]

What is the series you are referring too?

3 0

3 years ago

An airplane flies 315 km in 1 hour 45 minutes. Calculate the average speed.

valentina_108 [34]

Answer:

3 km per minute

Step-by-step explanation:

speed = distance / time

315km/105 minutes

= 3 km per minute

4 0

2 years ago

Use the table of systolic blood pressures (in mm Hg) in each arm

e-lub [12.9K]

Answer:

The 90% confidence interval would be given by (63.330;81.070)

Step-by-step explanation:

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Let put some notation

x=left arm , y = right arm

x: 175 169 182 146 144

y: 102 101 94 79 79

Since the Confidence is 0.90 or 90%, the value of a = 0.1 and a/2= 0.05we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,4)".And we see that ta/2= 2.13

3 0

2 years ago

A 4-pint carton of pineapple juice costs $8.08. What is the price per quart? $

Elena L [17]

Answer:

2.02

hope this helps

6 0

3 years ago