Answer:
4.2
Step-by-step explanation:
simplify 12 and 20 to 6 and 10 then divide 6 by 10 and multiply by 7 to get the answer.
The unit rate or rate of change of gallons per week will be 4.2 gallons/week.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given,
12 gallons in every 20 days,
The unit rate per day will be as,
12/20 = 0.6 gallons per day
It is known that, 1 week = 7 days,
Unit rate per week = 0.6 x 7 = 4.2 gallons/week
Hence "The unit rate, often known as the rate of change, will be 4.2 gallons per week".
To learn more about the rate of change here,
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Determine the following probabilities. Enter your final answers as reduced fractions. Two coins are flipped. Find the probability that the first coin land on heads and the second coin lands on heads. Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second card. Find the probability that the first card is black and the second card is a 8. A single digit between 0 and 9 is randomly chosen, and a single letter from A to Z is randomly chosen. Find the probability that the number is 4 and the letter is a consonant. Two dice are rolled. Find the probability that first die lands on an even number and the second die is less than 2.
The probability of an event occurring is given by the ratio of the number of
possible outcome to the number of required outcome.
First question: The probability that the first coin lands on heads and the second coin lands on tails is 0.25.Second question: The probability of drawing a black card and then a 8 is [tex]\underline{\dfrac{1}{13}}[/tex].Third question: The probability that the number chosen is 4 and the letter chosen is a consonant, is [tex]\underline{\dfrac{21}{234}}[/tex].Fourth question: The probability that the first die lands on an even number and the second die is less than 2, is [tex]\underline{\dfrac{1}{12}}[/tex].Reasons:
First question:
The number of faces in a coin = 2; A head or a tail
The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]
The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]
The probability that the first coin lands on heads and the second coin lands
on tails = P(H ∩ T)
Which gives;
[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]
The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25
Second question:
The number of black cards in a pack of 52 = 26 cards
The number of cards that are a 8 in a pack of 52 cards = 8 cards
[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]
[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]
The probability of drawing a black card and then an 8, P(B∩8), is given as follows;
[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]
The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]
Third question:
The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]
The number of consonant in the alphabet = 21
The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]
The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C) = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]
Fourth question:
The number of even numbers on a die = 3; (2, 4, 6)
The number of numbers less than 2 on a die = 1
The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]
The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]
Therefore;
The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]
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Need help really quick look at the picture thank you soooooooo,, muchh
Answer:
The answer would be -7/12
Step-by-step explanation:
Use math.way itll help you tremendously :)
Find the area of a circle with a circumference of
units.
This is the formula for circumference of circle
test again Add.
3/8+3/8
Answer:
3/4 or 0.75
Step-by-step explanation:
[tex] \frac{3 }{8} + \frac{3}{8} [/tex]
transform the equation
[tex] \frac{3 + 3}{8} [/tex]
calculate
[tex] \frac{6}{8} [/tex]
simplify
[tex] \frac{3}{4} [/tex]
or 0.75
A fisherman has 420 crabs. He sold one tenth of the crabs for a party. Then he sold two-thirds of the remaining crabs to a restaurant. The fisherman estimates that he has 232 crabs left. How far off is the fisherman's estimate?
Answer:
The answer I'd 28464835383637533
answer dis please
Aiko3han owo
Answer:
b
Step-by-step explanation:
1\4-2\5
plese help and thank
you
Answer:
3/20
Step-by-step explanation:
3/20 I sure, Just trying this one
Elizabeth bought 6 lipsticks for $15. How many lipsticks can be bought for $60
Answer:
4 lipsticks
Step-by-step explanation:
15+15=30, 30+30=60
"the product of negative three and x"
You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?
====================================================
Explanation:
Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.
|2x + 6| = 16
plsss helppp
Answer:
x = 5
Step-by-step explanation:
|2x + 6| = 16
=> 2x + 6 = 16
=> 2x = 16 - 6
=> 2x = 10
=> x = 5
Hoped this helped.
PLEASE HELP ME ASAP
NO LINKS
Step-by-step explanation:
1)
x⁴×x^a = x¹²
you know that you can add the exponents when multiplying terms with the same base value/variable ?
because that is what we are doing here to solve it :
x^(4 + a) = x¹²
therefore,
4 + a = 12
a = 8
2)
y^b / y⁵ = y²
similar to 1), but when we divide, we subtract the exponents.
y^(b - 5) = y²
b - 5 = 2
b = 7
3)
3^c = 1/27
27 = 3³
27×3^c = 1
3³×3^c = 1
3^(3 + c) = 1
now we need to remember : x⁰ = 1.
therefore, 3⁰ = 1
3^(3 + c) = 3⁰
3 + c = 0
c = -3
4)
(m³)² = m^d
aha !
now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.
m^(3×2) = m^d
3×2 = d
6 = d
5)
7⁰ = e
remember, x⁰ = 1, so also 7⁰ = 1.
therefore, e = 1.
6)
4^-2 × 4⁹ × 4^‐5 = 4^f
so, now we need apply what we just learned to a sequence of operations :
each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :
4^(-2 + 9 - 5) = 4^f
therefore,
f = -2 + 9 - 5 = 2
Answer:
just here 4 points
Step-by-step explanation:
Jordan will hike a trail with the distance of 25 miles at a rate of 5 miles per hour. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?
Answer:
y = - 4 x + 20
Step-by-step explanation:
The trail is 20 miles
Each hour you go 4 miles, so you subtract that each hour
How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18
The number of rows that would be returned from the cross join of tables A and B is 144 rows.
The cross join of table A and table B is the cartesian product of A and B.
Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.
So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.
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Solve for value of y
(9y - 6) + 51 = 90 (right angle)
9y - 6 + 51 = 90
9y - 6 = 90 - 51
9y - 6 = 39
9y = 39 + 6
9y = 45
y = 45/9
y = 5
_______
Hope it helps!
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Solve the slope for the table.
Answer:
Slope = -1
Step-by-step explanation:
7-9/-1+3=-2/2=-1 : Slope Formula
(a) Aradh borrows R30 000 from the bank at 15% p.a simple interest, payable over 4 years. Calculate his monthly repayments.
Answer:
R834.92 is the monthly repayments.
Step-by-step explanation:
c) 2 x x 3 x y
Please help
Find the perimeter. Simplify your answer.
Answer:
4
Step-by-step explanation:
yeah-ya........ right?
The perimeter of the triangle is 2(12c - 7).
What is a triangle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.
What is the perimeter of the triangle?Perimeter = 7c - 5 + 7c - 5 + 10c - 4
24c - 14
2(12c - 7)
To learn more about a triangle, please check: https://brainly.com/question/9329354
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
w>-20
Step-by-step explanation:
I’ll mark brainliest!! Please help:)
Answer:
E
Step-by-step explanation:
I need help quickly
PLS HELP ME IMMA CRY ONGG GGHGHJH
Answer:
127
Step-by-step explanation:
We started at 7
We keep going up 3
multiply
[tex]3\cdot40=120[/tex] Now add [tex]120+7=127[/tex] at the 40th term
Answer:
I believe its 127?
Step-by-step explanation:
I solved this by 7+3x40 and that was my answer.
Please tell me if its wrong, if so tell me what the correct one is. :)
Have a good day!
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answer:
The slope of this line is y=3x-3
Step-by-step explanation:
(I'm not sure but is the line on the point(1,0)? or is it past that point?)
BRAINLIEST FOR CORRECT ANSWER NEEDS HELP ASAP
At Chrissy's Clothes Warehouse, it takes fraction 2 over 5 of a day to complete fraction 1 over 10 of an order of t-shirts. At this rate, how long will it take to complete the entire order of t-shirts?
4 days
Mixed number 10 and 2 over 5 days
Mixed numbers 12 and 1 over
2 days
25 days
Answer: 4 days
Step-by-step explanation:
parallel perpendicular or neither
What is the slope for this table?
The product of six minus a number and five equals 60÷2 which equation relates the sentence
Answer:
Step-by-step explanation:
You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?
Answer:
Yes
Step-by-step explanation:
20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so that gives you 84 % . So you scored %84.
Good job
The Stock Market Nadia is a stockbroker. She earns 13% commission each week. Last week, she sold $5,300 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
Answer:
34
Step-by-step explanation:
