Is. 1.2/3 and 1.8/4.5 proportional or not?

Answers

Answer 1

Answer:

Answer:proportional

Step-by-step explanation: i took the test!

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A container holds 21 spoons and 27 forks. What is the ratio of spoons to the total number of utensils in the container? A. 7 to 9 B. 7 to 16 C. 9 to 7 D. 16 to 9

Anna is going to play guitar in her school's annual concert. If she starts by practicing for one hour per day and increases the time by 30 minutes each day, how long will she practice on the seventh day? a. 140 minutes b. 210 minutes c. 240 minutes D. 300 minutes

Answers

As per arithmetic progression, Anna will practice on the seventh day for 240 minutes.

What is an arithmetic progression?

"Arithmetic Progression is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value."

Anna practices on the first day for 1 hour

$= 60$ minutes

She increases the time by 30 minutes each day.

Therefore, on the 7th day she will practice for

$= [60+(7-1)30]$ minutes

$= 240$ minutes

Learn more about an arithmetic progression here: brainly.com/question/24873057

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on day one she starts of with 1 hour so it will be 1+30x. X being the number of days so by the seventh day Anna would practice for 240 minutes.

How do I solve x+4y=22
-x+5y=23

Answers

{ x + 4y = 22 ( + x - x = 0 )
{ - x + 5y = 23

4y + 5y = 22 + 23
9y = 45
y = 45
9
y = 5

x + 4y = 22
x + 4 . 5 = 22
x + 20 = 22
x = 22 - 20
x = 2

S = { 2 , 5 }

x+4y=22
-x+5y=23 (+)
9y=45
y=5

x+4*5=22
x=22-20
x=2

What is the solution to the following equation? 5x + 7x = 60

Answers

Answer:

5x+7x=60

12x=60

x=60/12=5

Step-by-step explanation:

there is a bag filled with 3 blue and 4 red marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. another marble is taken at random. what is the probability of getting 2 reds ?

Answers

You can just use some sort of counting principle
The first time you draw a read marble, your odds of getting 1 were 4/7
You are not replacing the marble. Your choice now is 3/6

P(2 reds) = (4/7) * (3/7) = 12/49 <<<<< Answer

the probability is:
$(1)/(49)$
1/49

good luck

What is the value of x in the equation 4x+8y=40 when y=0.8

Answers

Substitute in 0.8 for y.

$4x+8y=40 \n \n 4x + 8(0.8) = 40 \n \n 4x + 6.5 = 40 \n \n 4x = 40 - 6.4 \n \n 4x = 33.6 \n \n x = 8.4 \n \n$

The final result is: x = 8.4.

you plug in the y .8 to the8 that is 6.4

them you subtract 40 by 6.4that is 33.6

then you divide that by 4is 8.4

A pork roast was taken out of a hardwood smoker when its internal temperature had reached 180°F and it was allowed to rest in a 75°F house for 20 minutes after which its internal temperature had dropped to 170°F. Assuming that the temperature of the roast follows Newton’s Law of Cooling, a) Express the temperature of the roast, T as a function of time t.b) Find the amount of time that has passed when the roast would have dropped to 140°F had it not been carved and eaten.

Answers

The roast was 82.2degrees Celsius when it was taken out of the hardwood smoker

It would of taken 80 mins for it to cool from 180 to 140
As every 20 mins it would decrease it's temperature by 10degrees C so it would be
80mins for it to reach 140 from 180

By Newton's law of cooling
$T-S=Ce^(-kt)$
S=75
at t=0
$180-75=C=105$
at t=20
$170-75=105e^(-20k)=95 \n e^(-20k)= (95)/(105)$
$k=- (2.303)/(20) log_(10)( (95)/(105)=0.00500507463889254879012536550336$
at T=140
$140-75=65=105e^(-kt)$
$t= -(2.303)/(0.00500507463889254879012536550336)log_(10)( (65)/(105)==$
$t=96 minutes$

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