A wire 33 cm long is cut into two pieces. The longer piece is 5 cm longer than the shorter piece.

AT&T offers a deal for internet service that is $20 a month. There is an intial fee of $50. If Tim spent $330 on his interne

GenaCL600 [577]

Answer:

162 months

Step-by-step explanation:

if I'm correct it should be 162

3 0

3 years ago

In Europe, 53% of the flowers of the Rewardless Orchid, Dactylorhiza sambucina, are yellow, whereas the remaining flowers are pu

stich3 [128]

Answer:

a. The probability of taking out a purple flower is 0.47.

b. The probability that out of a sample of 5 flowers at least 3 flowers are yellow 0.56.

c. The standard deviation of the distribution for proportion of yellow flowers is 0.22.

d. The probability that out of the 263 samples, at most 150 of them are yellow is 0.90.

Step-by-step explanation:

7 0

3 years ago

It takes 5 minutes for 7 people to drink 25 pints of water.At this rate,how long would it take 15 people to drink 160 pints of w

EastWind [94]

Answer:

14.9 min

Step-by-step explanation:

r=rate

r25=5*7

r25=35

r=35/25

r=1.4

substitution

r160=t*15

t=time

r=1.4

1.4*160=t*15

224=t*15/15

224/15=t

14.9 min

4 0

3 years ago

A car travels 2 1/3 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the car travels in miles and minu

Flura [38]

Answer:

The speed of car in miles per minute is $\frac{2}{3}$ miles per minute and

The speed of car in mile per hour is 40 miles per hour,

Step-by-step explanation:

Given as :

The distance cover by car = 2 $\frac{1}{3}$ = $\frac{7}{3}$ miles

The Time taken by car to cover distance = 3 $\frac{1}{2}$ min = $\frac{7}{2}$ min

The speed o car in miles per minute = S miles/min

So, Speed = $\dfrac{\textrm Distance}{\textrm Time}$

Or, S = $\frac{\frac{7}{3}}{\frac{7}{2}}$ mie per min

∴ S = $\frac{2}{3}$ miles per minute

Now, Let The speed of car in miles per hour = x miles/h

So, Time in hour = $\frac{7}{2}$ × $\frac{1}{60}$ = $\frac{7}{120}$ hours

So , Speed = $\dfrac{\textrm Distance}{\textrm Time}$

Or, x = $\frac{\frac{7}{3}}{\frac{7}{120}}$ miles per hours

Or, x = 40 miles per hours

Hence The speed of car in miles per minute is $\frac{2}{3}$ miles per minute and the speed of car in mile per hour is 40 miles per hour, answer

7 0

3 years ago

One number is larger than another by 9. If the greater number is increased by 10, and the lesser number is tripled, the sum of t

kkurt [141]

Answer:

The larger number is -6, the smaller number is -15

Step-by-step explanation:

We have two numbers, a and b.

We know that one number is larger than another by 9.

Then we can write:

a = b + 9

then a is larger than b by 9 units.

If the greater number is increased by 10 (a + 10) and the lesser number is tripled (3*b), the sum of the two would be -41:

(a + 10) + 3*b = -41

So we got two equations:

a = b + 9

(a + 10) + 3*b = -41

This is a system of equations.

One way to solve this is first isolate one variable in one of the two equations:

But we can see that the variable "a" is already isolated in the first equation, so we have:

a = b + 9

now we can replace that in the other equation:

(a + 10) + 3*b = -41

(b + 9) + 10 + 3*b = -41

now we can solve this for b.

9 + b + 10 + 3b = -41

(9 + 10) + (3b + b) = -41

19 + 4b = -41

4b = -41 -19 = -60

b = -60/4 = -15

b = -15

then:

a = b + 9

a = -15 + 9 = -6

a = -6

7 0

2 years ago