By the binomial theorem,
[tex]\displaystyle (2x+y)^7 = \sum_{k=0}^7 \binom7k (2x)^{7-k} y^k=\sum_{k=0}^7 \binom7k 2^{7-k} x^{7-k} y^k[/tex]
where
[tex]\dbinom nk=\dfrac{n!}{k!(n-k)!}[/tex]
is the binomial coefficient.
We get the x⁴y³ terms with k = 3, for which the coefficient would be
[tex]\dbinom73 2^{7-3}=\dfrac{7!}{3! 4!} 2^4=\boxed{560}[/tex]
At El Rodeo it costs $8 for a burrito and $5 for a taco. Last week, El Rodeo made $1123 from selling burritos and tacos. If 76 burritos were sold, write and solve a linear equation to find how many tacos were sold.
SOLUTION:
Question Blank
type your answer...
tacos were sold
Answer:
103 tacos were sold
Step-by-step explanation:
8(76)+5x=1123
608+5x=1123
-608 -608
5x=515
/5 /5
x=103
please help ill give you the brainly crown
Answer:
I cannot see image
Step-by-step explanation:
I get brain damage from these please help me. I need a detailed answer of how to do this as well
When Joe started his job at the laundromat five years ago, his wage was $6.00 an hour. Today, his wage is $8.50 an hour. If Joe started his job in the base year, and his real wage is the same as when he started, what is the Consumer Price Index (CPI) today
Answer:
142
Step-by-step explanation:
The computation of the Consumer Price Index (CPI) today is shown below:-
Real Salary today / Real Salary 5 years ago = CPI today ÷ CPI 5 years ago
CPI today ÷ 100 = 8.50 ÷ 6
= 142
Therefore for computing the Consumer Price Index (CPI) today we simply applied the above formula and the same is to be considered
A store has all board games on sale for 25% off the
regular price. A checker set has a sale price of $12. It is then moved to a clearance table where every item is discounted 40% off its regular price. What is the
clearance price of the checker set?
Answer:
$7.20
Step-by-step explanation:
We'll need to find out 40% of 12 then subtract that amount because we're still paying 60% of the original price.
Change the percent to a decimal: 0.4
Multiply the sale price and the decimal
12 · 0.4 = 4.8
Subtract 40% of the price from 12
12 - 4.8 = 7.2
The clearance price of the checker set is $7.20
Answer:
If both the board games discount and the clearance discount affect the item, this means it is 65% off. 65% of 12 is 7.8, therefore we subtract that amount from 12 and get 4.2, or $4.20.
Anne Pederson is driving to Cleveland, a distance of 324 miles. Her car gets 27 miles
per gallon, and gas costs $2.43 per gallon. How much does she spend for gas for the
trip?
Answer: 29.16
Step-by-step explanation:
1.)
324 ÷27= 12
2.)
2.43 x 12= 29.16
Select the conic section that represents the equation. y = 2x^2 + 7
Answer:
x intercept: none
y intercepts: (0, 7)
Step-by-step explanation:
Answer:
Parabola
Step-by-step explanation:
The area of a square room is 125 square feet. To the nearest foot, what is the length of one side of the room?
Answer:
Side = [tex]5\sqrt5\ \text{feet}[/tex]
Step-by-step explanation:
Given that,
Area of a square room is 125 square feet
We need to find the length of one side of the room.
The area of a square shaped room is given by :
[tex]A=x^2[/tex]
Where, x is side of the square room
[tex]x=\sqrt{A} \\\\x=\sqrt{125}\\\\x=\sqrt{5\times 5\times 5}\\\\x=5\sqrt5\ \text{feet}[/tex]
So, the side of the room is [tex]5\sqrt5\ \text{feet}[/tex].
How do I find all of the angles for this and what equations would I use to find angle 2,3,4,5,7, &8?
Answer:
<2 = supplementary angle=180-110=70
<3 = supplementary angle=180-110=70
<4 = opposite angles=110
<5 = 110 (corresponding angle)
<7 = 70 (corresponding to angle 3)
<8 = 110 (corresponding to angle 4)
Step-by-step explanation:
<2 = supplementary angle=180-110=70
<3 = supplementary angle=180-110=70
<4 = opposite angles=110
<5 = 110 (corresponding angle)
<7 = 70 (corresponding to angle 3)
<8 = 110 (corresponding to angle 4)
You don't need to solve for x to find any of those angles. If you want to anyway:
4x+10=70
4x=70-10
4x=60
x=60÷4
x=15
10x-2=3x-12 NoFraction
Answer:−1.429
I need brainliest
Step-by-step explanation:
Ten oranges are to be shared between two boys in the ratio 1:4 how many will each boy get
Answer:
2 and 8
Step-by-step explanation:
Well. Boy A gets 1 orange, so the other must get 4. So say boy A gets 2 oranges now, so the other must get also double the amount of oranges, which is 8.
1:4
If you changed the 1 to a 2, you have x2 (you can only x or ÷, in ratio) on the other side. Whatever you do to this side, you do to the other side. So it becomes
2:8
Add the numbers together to find the total number of parts. You get 10 in this ratio, so it must be the answer.
At your job, you move 350 hundredweight barrels in one day. How many tons did you move?
Answer:
.175 tons
Step-by-step explanation:
350 pounds converts to .175 tons.
What is this answer?
Answer:
A. 2
Step-by-step explanation:
It tries to trick you, but all you are going to do is multiply all the numbers together. -1*-8*(1/4)= 2 which is the same as xyz = 2
Hope this helped!!
5x + 10 > 35
How do you work this out?
Answer:
[tex]x > 5[/tex]
Step-by -step explanation:
Solving inequalities is similar to solving equations.
[tex]5x + 10 > 35[/tex]
Subtract 10 from both sides.
[tex]5x > 25[/tex]
Divide by 5 from both sides to isolate the x.
[tex]x > 5[/tex]
Step-by-step explanation:
[tex]5x + 10 > 35 \\ \: 5x > 35 - 10 \\ 5x > 25 \\ x > 5[/tex]
if l is parallel to m, find the value of each missing variable(s)
Answer:
x=24 y=15
step by step solution:
Solve for x
-2x+1=-x+8
I need help figuring this question out?
Answer:
He has to use the foil method to combine the terms. But before that it would be best if he got rid of the negative exponents by taking the inverse of the number which moves the negative exponent to the denominator making it positive and leaving a 1 in the numerator.
Step-by-step explanation:
If g (x)= 3/2x+4, what is the value of g(2)?
Answer:
g(2) =7
Step-by-step explanation:
g (x)= 3/2x+4
Let x = 2
g (2)= 3/2 *2+4
= 3 +4
= 7
Answer: 3/8
Step-by-step explanation:
Put 2 as the x into the equation.
3/2(2)+4
Multiply 2•2
3/4+4
Add 4+4
3/8
Answer cannot be further simplified.
A store sells a certain digital camera model for $108. During a special promotion, the camera is discounted by 30%. What is the discounted price?
Answer:
$108
30% discount=30/100*(108)
.......(30*108)/100
........3240/100
=$32.4
Discount=$108-$32.4=$75.6
Step-by-step explanation:
Answer:
$32.4
Step-by-step explanation:
15. (01.04 MC)
Simplify the following expression: (-1)(-7)(4) (1 point)
12
28
-12
-28
Answer:
28
Step-by-step explanation:
(-1)(-7)(4)
Let’s rephrase this
(-1) * (-7) * 4
Multiple in order
(-1) * (-7) = 7
A negative times a negative equals a positive.
7 * 4= 28
12/7 = k/8 Solve for k
Answer:
13 5/7
Step-by-step explanation:
Rewrite the equation as
k
8
=
12
7
.
k
8
=
12
7
Multiply both sides of the equation by
8
.
8
⋅
k
8
=
8
⋅
12
7
Simplify both sides of the equation.
Tap for more steps...
k
=
96
7
The result can be shown in multiple forms.
Exact Form:
k
=
96
7
Decimal Form:
k
=
13.71428571
…
Mixed Number Form:
k
=
13
5
7
Answer: 13 5/7
Step-by-step explanation:
Give the guy above me brainliest! You can give me if you want but give him
In ΔPQR, the measure of ∠R=90°, RP = 57 feet, and QR = 93 feet. Find the measure of ∠P to the nearest tenth of a degree.
Answer:
58.5
Step-by-step explanation:
hope it helps :)
The measure of each angle in an equilateral triangle is represented by the expression 2x + 4. What is the value of x?
28
88
60
35
Answer:B have it ✅
Step-by-step explanation:
The value of x for the given equilateral triangle is 28.
What is an equilateral triangle?A triangle having all sides equal and each angle measures 60° is called
an equilateral triangle.
Given that, the measure of each angle in an equilateral triangle is represented by the expression 2x + 4.
We know that each angle in an equilateral triangle measures 60°
Therefore, 2x+4= 60
2x = 56
x = 28
Hence, the value of x is 28.
For more references on equilateral triangles, click;
https://brainly.com/question/3461022
#SPJ2
what is the slope of a line that is perpendicular to the line y= -1\2x+ 5
Answer:
-1/2
Step-by-step explanation:
Answer:
-1/2
Step-by-step explanation:
A group of seven golfers paid $345 to play a round of golf. Of the golfers, one is a member of the club and six are nonmembers. Another group of golfers consists of two members and two
nonmembers. They paid a total of $140. What is the cost for a member to play a round of golf, and what is the cost for a nonmember?
Answer:
member = 15
nonmember = 55
Step-by-step explanation:
m = member, n= nonmember
1m+6n=345
2m + 2n =140 (divide all by 2 )
m + n = 70
m= 70 - n
70-n + 6n =345
70 + 5n = 345
5n = 345-70
5n = 275
n = 275÷5
n = 55
m = 70 - 55 = 15
m=15
Given the following set of data:
3, 4, 5, 6, 8, 9, 9,
which measures below have a value of 6? (Check all that apply.)
mode
range
high value
median
Answer:
median
cross out left to right
Which of the following lines is perpendicular to the line y = -3/5x + 1?
Help Quick! This is a fraction problem by the way.
Multiply.
1 2/3 x 6
Answer:
10
Step-by-step explanation:
Answer:
the answer is 24
Step-by-step explanation: first you simplify 12/3 which is 4/1 and then you multiply 4 by 6 which is equaled to 24.
im confused someone help :(
Answer:
Step-by-step explanation
For which intervals is the function increasing? Select each correct answer.
Answer:
The answer is (2, ∞).
Step-by-step explanation:
The answer is (2, ∞) because both sides of the line will never meet and will forever increase on the [tex]y-axis^{}[/tex].
For (2, ∞) intervals is the function increasing in the graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A function is increasing on an interval if for every point on that interval the first derivative is positive.
So we need to find the first derivative and then plug in the endpoints of our interval.
For interval (2, ∞) the function is increasing because both sides of the line will never meet and will forever increase on the y axis.
Hence, for (2, ∞) intervals is the function increasing in the graph.
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
