Answer:
William can find how many piano pieces he has learned by using the equation y = 2x.
Step-by-step explanation:
We are given that William learns two piano pieces per week.
We are tasked with finding the equation that represents this relationship (the number of weeks that William has received piano lessons and the total number of piano pieces that William has learned).
The number of weeks that William has attended piano lessons is represented by the variable x.The total number of piano pieces that William has learned is represented by the variable y.Therefore, take for example that William has been taking piano lessons for four months. This would roughly equate to sixteen weeks.
[tex]x=16[/tex]After analyzing this, we know that he learns two pieces a week. So, we can multiply our number of weeks by two in order to receive the total amount of pieces learned.
[tex]x \times 2[/tex]Finally, we need to set this equal to the total number of pieces learned, or our previously defined variable y.
[tex]y=x\times 2[/tex]In mathematics, we want to simplify everything as much as possible. There is a statement that if a constant and a variable are to be multiplied, we can remove the multiplication symbol and place the constant and the variable together.
[tex]y=2x[/tex]Therefore, our equation is [tex]\bold{y = 2x}[/tex].
Solve the system of equations. − 3 x + 2 y = 56 − 5 x − 2 y = 24 −3x+2y=56 −5x−2y=24
Step-by-step explanation:
-3x + 2y = 56
+ (-5x - 2y = 24)
=> -8x = 80, x = -10.
Therefore -3(-10) + 2y = 56, 30 + 2y = 56, y = 13.
Hence x = -10 and y = 13.
Answer:
x = -10 and y = 13.
Step-by-step explanation:
Hope this helped have an amazing day!
What investment/savings options has the greatest risk?
I give 20! Find the surface area. And without explanation please, I don’t have enough time.
Answer:
816 cm²
Step-by-step explanation:
Surface area of the composite figure = (surface area of the larger rectangular prism + surface area of the smaller rectangular prism) - area of the side of the smaller rectangular prism that is joined to the bigger prism.
✔️Surface area of the larger rectangular prism:
Area = L*W*H = 20*5*6 = 600 cm²
✔️surface area of the smaller rectangular prism:
Area = L*W*H = 12*4*6 = 288 cm²
✔️area of the side of the smaller rectangular prism that is joined to the bigger prism.
Area = L*W = 12*6 = 72 cm²
Surface area of the composite = (600 + 288) - 72 = 888 - 72 = 816 cm².
When rolling two 6-sided dice, what is the probability of rolling a sum of 7 and 11?
Answer:
We have two 6-sided dice.
Each one of them has 6 possible outcomes.
The total number of outcomes for the pair, will be equal to the product between the numbers of outcomes for each one of them
Then the total number of outcomes is:
C = 6*6 = 36.
The number of outcomes where the sum of the dice are 7 are:
1 and 6
6 and 1
2 and 5
5 and 2
3 and 4
4 and 3
So we have 6 outcomes where the sum of both numbers is equal to 7.
The probability of rolling a pair such that the sum is equal to 7, is equal to the quotient between the number of outcomes that meet this condition (6) and the total number of outcomes (36)
The probability is:
P = 6/36 = 1/6
Now let's do the same for 11.
The outcomes where the sum is 11 are:
5 and 6
6 and 5
So we have two outcomes.
In this case, the probability will be:
P = 2/36 = 1/18
PLZ ANSWER IF U KNOW THE ANSWER
Answer:
AEF
Step-by-step explanation:
NOT B
patricia has 45.82 in her checking account. How much does she have in her account after she makes a deposit of 120.75 and a withdraw of 185.90
Answer:
-19.43
Step-by-step explanation:
You got to add 120.75 to 45.82 then you subtract it from 185.90
comment if this helps :)
55% means 55 out of 100. Write 55% as a fraction in simplest form. Is it 55/100 plz give me an explanation.
How to I write 1 2/3 as an improper fraction help ASAP
thx for helping me get smart and learing my math ava :D
Answer:
NICEE
Step-by-step explanation:
Which expression is equivalent to
-15163-3?Assume #w0D
Answer:
Second one.................
ASE
BCDE is a trapezium with angle CDE = 90°. ABEF is a straight line.
Q2)
D
Diagram
accurately
1159
А
11030
E
F
B
Work out the size of the angle marked x.
Answer:
128 deg
Step-by-step explanation:
The sum of the measures of the angles of a polygon of n sides is
(n - 2)180
A trapezium has 4 sides, so the sum of the measures of the angles is
(4 - 2)180 = 2(180) = 360
m<CBE + m<C + m<D + m<DEB = 360
Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.
m<ABC + m<CBE = 180
115 + m<CBE = 180
m<CBE = 65
m<C = x
m<D = 90
Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.
m<DEB + m<DEF = 180
m<DEB + m<103 = 180
m<DEB = 77
m<CBE + m<C + m<D + m<DEB = 360
65 + x + 90 + 77 = 360
x + 232 = 360
x = 128
Answer: 128 deg
so we will get a lot of teiangles here.
90°+x+CED=180°
also CED+DEF=180°(half circle, 360/2)
CED+103°=180°
CED=180-103=77°
77°+90°+X/2=180°
x/2=180-167=13°
Can someone help me please?
PLEASE HELP ME THIS IS URGENT!! THIS IS ACC MATHEMATICS!! Please I need to turn this in
Using the binomial theorem, expand the expression (4 + y) to the power of 4
Answer:
When raised to the power of 4, the binomial (4 + y) expands to:
[tex]y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]
Step-by-step explanation:
[tex](4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256[/tex]
A supervisor records the repair cost for 17 randomly selected VCRs. A sample mean of $68.83 and standard deviation of $12.17 are subsequently computed. Determine the 80% confidence interval for the mean repair cost for the VCRs. Assume the population is approximately normal.
Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
27
Step-by-step explanation:
im smart
Sandra rode her bike 9 1/3 miles on Monday and 6 4/5 miles on Tuesday how many miles did Sandra walk in both days
Answer:
2 8/15
Step-by-step explanation:
Three friends are participating in a
charity run. Joy ran 6.8 miles, Simón ran
5.5 miles, and Kita has run 8.4 miles.
Part A
Complete the bar diagram to find the
total distance the friends have run.
Part B
If each friend ran the same distance of
the charity run, how many miles would
each friend run? Complete the bar
diagram to help you
Part C
It took Simón 33 minutes to run
5.5 miles. Did he run faster or slower
than 1 mile every 5 minutes? How can
you tell?
Answer:
Part A. 20.7
Part B. 6.9, 6.9, 6.9
Part C. Slower. 33/5.5= 6. 6 minutes is greater than 5 minutes so Simon ran slower than 1 mile every 5 minutes.
Step-by-step explanation:
For history class, Joe spent 2 hours writing a 4-page report on ancient Egypt. This weekend, he needs to write a 12-page report on the Roman Empire.
If he writes at the same rate, how long will it take Joe to write his report?
Answer:
2hours/4pages
2/4=1/2
1/2=x/12
cross multiply
12=2x
divide by 2 both sides
6=x
6 hours
Answer:
the answer is 6
Step-by-step explanation:
Type the correct answer In each box.
What are the values of x and y that make the equations true?
Equation A
(x + yi) + (4 – 7i) = 3 - 4i
Equation B (x + yi) - (-6 + 14i) = 18 + 2i
In equation A, x =
and y =
In equation B, r =
and y =
9514 1404 393
Answer:
A: x = -1 and y = 3
B: x = 12 and y = 16
Step-by-step explanation:
In each case, you can add the opposite of the constant to find the variable.
Equation A
(x +yi) +(4 -7i) = (3 -4i)
(x +yi) +(4 -7i) -(4 -7i) = (3 -4i) -(4 -7i) . . . . . add -(4-7i) to both sides
x +yi = (3 -4) +(-4-(-7))i = -1 +3i
x = -1 and y = 3
__
Equation B
(x +yi) -(-6 +14i) = (18 +2i)
(x +yi) -(-6 +14i) +(-6 +14i) = (18 +2i) +(-6 +14i) . . . . . add (-6 +14i) to both sides
x + yi = (18 -6) +(2 +14)i = 12 +16i
x = 12 and y = 16
Answer:
In equation A: x=-1 and y=3
In equation B: x=12 and y=16
Step-by-step explanation:
find the decimal equivalent of the following percent: 0.45%
Find the solution to the system
5x+4y=-34 and y=3x
Answer:
x = -2 ; y = -6
Step-by-step explanation:
Let y = 3x be eqn.1
So putting eqn.1 in 5x + 4y = -34 gives ,
[tex]5x + 4y = - 34[/tex]
[tex] = > 5x + 4(3x) = - 34[/tex]
[tex] = > 5x + 12x = - 34[/tex]
[tex] = > 17x = - 34[/tex]
[tex] = > x = \frac{ - 34}{17} = - 2[/tex]
Putting the value of x in eqn.1 gives :-
[tex]y = 3x = 3 \times ( - 2) = - 6[/tex]
2 - 20
16) Solve the problem.
Use the Associative Property of Addition to find the equivalent expression. Replace the
variable with the given number to prove the expression is equivalent.
* + (4 + 6) = ---
I = 5
Answer:
The answer is 15=15
Step-by-step explanation:
go to math
way, which is a website
and put your question in and the answer waill come to you!
if I have a 15 gallon tank what percentage is in tank if it only takes 12 gallons to fill it
Step-by-step explanation:
12/15 * (100%)
= 4/5 * (100%)
= 4 * 20%
= 80%
Please gimme brainliest
Elena has 20 apples and 35 crackers for making snack bags. She wants to make as many snack bags as possible and wants each bag to have the same combination of apples and crackers. What is the largest number of snack bags she could make?
Which one is it? GCF(greatest common factor) LCM (least common multiple).
Answer:
GCF
Step-by-step explanation:
Answer: The largest number of snack bags she could make is 5
Step-by-step explanation:
20/5=4 apples
35/5=7 crackers
In each bag she will place 4 apples and 7 crackers
5
Mo spends of his pocket money on a present for his sister.
He gives of his pocket money to charity.
What fraction of his pocket money does he have left?
You may use the fraction strip to help you.
love shot
Step-by-step explanation:
1x24 minus 1 and that is good
hope it helps
When performing a Translation to a segment. What will be the change between the pre-image and the image? (HELP I need this done by 5 Minutes.)
is 1/3, 7/21 proportion
Answer:
1/3
Step-by-step explanation:
de acuerdo con la siguiente figura calcula el ancho del río y la distancia del árbol a la lancha.
which one of these is a rational number
A. square root of 9/2
B. square root of 13/16
C. square root of 34
D. square root of 49
Help pleasseeeee!!!!!!
Answer:
i think C sorry if wrong