Step-by-step explanation:
Using pascal's triangle;
Then second term of the expansion (1+3y)5
is given as:
5(1)^4(3y) = 15y
Answer:
15y
Step-by-step explanation:
48t-18=57t-81 equal what? t=-38, t=63, t=-7, t=38, t=19, or t=7
Answer:
t =7
Step-by-step explanation:
48t-18=57t-81 Subtract 48t from both sides
48t-48t - 18 =57t-48t - 81 Combine
-18 = 9t - 81 Add 81 to both sides
-18+81 = 9t -81 + 81 Combine
63 = 9t Divide by 9
63/9 = 9t/9
7 = t
I’m confused how to do ratios
Answer:
i will explain it to you
Step-by-step explanation:
Find DF
Segment addition
Answer:
mDF = 18
Step-by-step explanation:
DE and EF must add up to DF.
Step 1: Set up equation
mDE + mEF = mDF
x + 7 + 7 = 4x + 2
Step 2: Solve for x
Combine like terms: x + 14 = 4x + 2Subtract x on both sides: 14 = 3x + 2Subtract 2 on both sides: 12 = 3xDivide both sides by 3: 4 = xRewrite: x = 4Step 3: Find mDF
mDF = 4x + 2
mDF = 4(4) + 2
mDF = 16 + 2
mDF = 18
Find the coordinates of the midpoint of if A(–4, 7) and S(5, 3).
Answer:
The answer is
(1/2 , 5)
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(-4, 7) and S(5,3)
In a group of five students who took the same test, four of the scores were 85, 92, 81, and 95. If the average of the five students was 89, what was the score of the fifth student?
Answer:
92
Step-by-step explanation:
89 x 5 = 445
85 + 92 + 81 + 95 = 353
445 - 353 = 92
The score of the fifth student is 92.
What is an average?An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.
Now it is given that,
Average of the five students = 89
Scores of four students = 85, 92, 81, and 95
Number of students = 5
Let the score of fifth student be x.
⇒Average of the five students = scores of five students/Number of students
∵scores of five students =Scores of four students + score of fifth student
∴scores of five students = 85+92+81+95+x
⇒scores of five students = 353+x
∴Average of the five students = (353+x)/5
⇒89 = (353+x)/5
or, 445 = 353+x
or, x = 445 - 353
⇒ x = 92
Hence, the score of the fifth student is 92
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Isabella types 423 words in 9 minutes. What is Isabella's typing rate in words per minute? HELP
Answer:
47 words per minute
Help me easy math problem
Answer:
15/36
Step-by-step explanation:
Answer:
51/39 then simplify
Step-by-step explanation:
I did it
Which set of numbers best describes the possible values of x in the equation below?
[x-1] = [x]
a. all integer values of x
b. all real number values of x
c. only negative values of x
d. only non-integer values of x
The set of numbers best describes the possible values of x in the equation is option c. only negative values of x.
Calculation of the possible values of x;Since the equation is
x - 1 = x
So, here the x should be canceled out
So, it should be like
0 = -1
Hence, we can say that
The option c is correct,
And, the rest of the options are incorrect.
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The length of a rectangle is 3.7 inches when rounded to the nearest tenth of an inch.
Answer:
what is the answerrrrrrrStep-by-step explanation:
A party of 20 adults and 15 children celebrates at a restaurant. Each table in the restaurant seats 4 people. How many tables will the party use?
Answer:
9
Step-by-step explanation:
20 divided by 4=5 then 15 divided by 4=3.75 so technically 4 so 5+4=9
There are two necklaces Maria wants to buy. One is $28.66 and the other is $19.39. She has a coupon for $5 off the total bill when you purchase two items. If she buys both, how much will she owe before taxes?
Answer:
$43.05
Step-by-step explanation:
Add $28.66 and $19.39, after that you get 48.05. Then subtract 5 from it and you get $43.05
Solve –8y + 3 > –5.
A. {y | y < –1}
A. {y | y < –1}
B. {y | y > 1}
B. {y | y > 1}
C. {y | y > –1}
C. {y | y > –1}
D. {y | y < 1}
Answer:
.
Step-by-step explanation:
Carlos cut Start Fraction 5 Over 12 End Fraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?
Start Fraction 1 Over 60 End Fraction of a yard
Start Fraction 1 Over 25 End Fraction of a yard
Start Fraction 1 Over 12 End Fraction of a yard
One-fifth of a yard
Answer:
C.1/12
Step-by-step explanation:
Divide 5/12 by 5 since he cut it into 5 equal pieces
A store plans to sell two different game consoles, the YuuMi and the ZBox. The store’s wholesale cost for a YuuMi is $250, and the store can sell one for $295. The ZBox’s wholesale price is $400, and the store can sell it for $450. The store’s marketing research indicates that the total monthly demand for game consoles will not exceed 250 units sold. The store’s financial manager does not want to invest more than $70,000 in inventory costs for game consoles. How many of each game console should the store stock in order to maximize their profits, and what is their maximum monthly profit?
Constraints:
Objective formula:
9514 1404 393
Answer:
Constraints: x + y ≤ 250; 250x +400y ≤ 70000; x ≥ 0; y ≥ 0Objective formula: p = 45x +50y200 YuuMi and 50 ZBox should be stockedmaximum profit is $11,500Step-by-step explanation:
Let x and y represent the numbers of YuuMi and ZBox consoles, respectively. The inventory cost must be at most 70,000, so that constraint is ...
250x +400y ≤ 70000
The number sold will be at most 250 units, so that constraint is ...
x + y ≤ 250
Additionally, we require x ≥ 0 and y ≥ 0.
__
A profit of 295-250 = 45 is made on each YuuMi, and a profit of 450-400 = 50 is made on each ZBox. So, if we want to maximize profit, our objective function is ...
profit = 45x +50y
__
A graph is shown in the attachment. The vertex of the feasible region that maximizes profit is (x, y) = (200, 50).
200 YuuMi and 50 ZBox consoles should be stocked to maximize profit. The maximum monthly profit is $11,500.
The cost of renting a car is $20 to take the car and $4 for every hour that it is rented. The total amount Lucie paid was 546. For how many hours did Lucie have the car?
a. Define your variable.
b. Write an equation and solve.
c. Write a sentence to interpret your results.
h = time in hours
20 + 4h = 546
4h = 526
h = 131.5
131.5 hours
Magic lines
Can you put the numbers 2 to 8 in the circles so that every line
adds up to 15? You can use each number only once.
Answer:
Please see attached image
Step-by-step explanation:
The numbers on the upper row should be: 7 6 2
the number in the central disk should be 5
the bottom row should read : 8 4 3
The addition on top row: 7 + 6 + 2 = 15
the addition on bottom row: 8 + 4 + 3 = 15
the addition on the central vertical column: 6 + 5 + 4 = 15
diagonal going down: 7 + 5 + 3 = 15
diagonal going up: 8 + 5 + 2 = 15
whats the square root of 10?? For each to the nearest 0.05.
Answer:
3.16(i think)
Step-by-step explanation:
Help out
It is due at 7:00
Answer:
I want the free points. Sorry :)
At the supermarket you can fill your own honey bear container. A customer buys 12 oz of honey for $5.40. i need help.
Answer:
Ok, So what I would do first if I were you Is probably divide $5.40 by 12. So that would equal $0.45. So that mean it costs $0.45 per oz.
Step-by-step explanation:
How this helped!
38.5 divided by 0.5 simplified
Answer:
77
Step-by-step explanation:
38.5 ÷ 0.5 = 77
77 x 0.5 = 38.5
(think of 5 x 7)
0.5 x 70 = 35 (3.5 left)
0.5 x 7 = 3.5 (0 left)
70 + 7 = 77
if side of the triangle in 8cm and side 2 is 5cm, then what is the possible range for the length of the third side of the triangle?
Answer:
7cm
Step-by-step explanation:
Write an
equivalent expression by distributing the "_' "sign outside the parentheses:
- (9r – 3.2s) + 4
Answer:
-9r+3.2s+4
Step-by-step explanation:
- (9r – 3.2s) + 4
Distribute the minus sign
-9r - -3.2s+4
Subtracting a negative is like adding
-9r+3.2s+4
i need help please!!
What is the scale factor to go from small triangle to the large triangle?
Simplify the expression and enter your answer below.
(191/99
Answer:
the correct answer is 1 92/99
125ml= how many cenimeters?
Answer:
150
Step-by-step explanation:
multiply the volume by 1
Answer:
12,500 cm
Step-by-step explanation:
ml × 100 = cm125 × 100 = 12,500I hope this helps!
Which is the correct chemical equation for photosynthesis?
Answer: The process of photosynthesis is commonly written as: 6CO2 + 6H2O → C6H12O6 + 6O2.
Step-by-step explanation: This means that the reactants, six carbon dioxide molecules and six water molecules, are converted by light energy captured by chlorophyll (implied by the arrow) into a sugar molecule and six oxygen molecules, the products.
sara got 32 question out of 36. what was the percentage she got correct
Answer:
88.8%
Step-by-step explanation:
Answer:
89% correct
Step-by-step explanation:
32 out of 36
32/36
8/9
0.89
89 percent correct
Solve by taking the square too of both sides.
3(c+3)^2-81=0
Answer:
x = -3 ±3sqrt(3)
Step-by-step explanation:
3(x+3)^2-81=0
Add 81 to each side
3(x+3)^2=81
Divide each side by 3
3/3(x+3)^2=81/3
(x+3)^2=27
Take the square root of each side
sqrt ((x+3)^2)=±sqrt(27)
x+3 =±sqrt(9*3)
x+3 =±sqrt(9)*sqrt(3)
x+3 =±3sqrt(3)
Subtract 3 from each side
x = -3 ±3sqrt(3)
PLEASEE HELP ME AS FAST AS POSSIBLE! According to the fundamental theorem of algebra, how many solutions does this polynomial have?
Btw sorry about the bad lighting
2, because there are 2 different factors with x in it.
x could be 0, or 4.
Hope this helps
The number of the solution of the polynomial is 2. And the solutions of the polynomial are 0 and 4.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomial is given below.
y = 3x(x - 4)
The factors of the polynomial are 3x and (x - 4).
For the solution of the polynomial, put each factor equals to zero.
Then the solution of the polynomial will be
3x = 0
x = 0
x - 4 = 0
x = 4
The number of the solution of the polynomial is 2.
And the solutions of the polynomial are 0 and 4.
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