Answer:
Chicken:$8 Ducks:$5
Step-by-step explanation:
Let's assume
Chickens= c
Ducks=d
50c + 30d = 550 (divide this by 10)--- 5c+3d=55
44c + 36d = 532 (divide this by 4)--- 11c+9d=133
Solving simultaneously:
5c + 3d = 55 (x9)
11c + 9d = 133 (x3)
45c + 27d = 495
33c + 27d = 399
By subtraction we get:
(45c-33c+27d-27d)= 96
12c = 96
Chicken = $ 8 (96/12)
Ducks: 50(8)+ 30d = 550
30d = 150
Ducks = $5 (150/30)
Enter the correct letter to match each summation expression with the property or formula. N Σ i=1 cai is equal to . A n(n + 1)(2n + 1) 6 n Σ i=1 i is equal to . B n(n + 1) 2 n Σ i=1 c is equal to . C c n Σ i=1 ai n Σ i=1 i3 is equal to . D cn n Σ i=1 i2 is equal to
Answer:
[tex]\sum\limits_{i=1}^{n} c \cdot a_i \ is \ equal \ to \ c = \ c \cdot \sum\limits_{i=1}^{n} a_i[/tex]
[tex]\sum\limits_{i=1}^{n} i \ is \ equal \ to \ b = \dfrac{n \cdot (n + 1)}{2}[/tex]
[tex]\sum\limits_{i=1}^{n} c \ is \ equal \ to \ d = c \cdot n[/tex]
[tex]\sum\limits_{i=1}^{n} i^3 \ is \ equal \ to \ e = \left [ \dfrac{n \cdot (n + 1)}{2} \right]^2[/tex]
[tex]\sum\limits_{i=1}^{n} i^2 \ is \ equal \ to \ a = \dfrac{n \cdot (n + 1) \cdot (2 \cdot n + 1)}{6}[/tex]
Step-by-step explanation:
1) The sum of a series of the cubes of numbers 'i' is given as follows;
Sₙ = n/2 × (1st term + Last term)
∴ Sₙ = n/2 × (1 + n) = n·(n + 1)/2
It can be shown that the sum of a series of the cubes of numbers 'i²' is given as follows;
Sₙ = (n·(n + 1)·(2·n + 1))/6
It can be also be shown that the sum of a series of the cubes of numbers 'i³' is given as follows;
Sₙ = (n·(n + 1)/2)²
Therefore, we have;
[tex]\sum\limits_{i=1}^{n} c \cdot a_i= c \cdot \sum\limits_{i=1}^{n} a_i = c[/tex]
[tex]\sum\limits_{i=1}^{n} i = \dfrac{n \cdot (n + 1)}{2} = b[/tex]
[tex]\sum\limits_{i=1}^{n} c = c \cdot n = d[/tex]
[tex]\sum\limits_{i=1}^{n} i^3 = \left [ \dfrac{n \cdot (n + 1)}{2} \right]^2 = e[/tex]
[tex]\sum\limits_{i=1}^{n} i^2 = \dfrac{n \cdot (n + 1) \cdot (2 \cdot n + 1)}{6} = a[/tex].
Answer:
c, b, d, e, a
Step-by-step explanation:
) Every two out of three kids sang at the talent show. What percent of the kids did not sing at the talent show? (round)
The answer is 33 percent
hope this helps!
Answer:
33%
Step-by-step explanation: 1 out of three kids in each group do not sing 100/3 = 33
Favorite Ice Cream Flavors
Coffee
.14%
Chocolate
42%
Vanilla
Strawberry
18%
Answer:
Yes
Step-by-step explanation:
And what is the question we need to answer from the given set of data?
Find the cost of 2.5 yards of fabric if the fabric costs $8.00 per yard.
$3.20
$20.00
$32.00
$2.00
Answer:
20
Step-by-step explanation:
Joey buying a new couch for his living room The couch costs 379.00 He has a choice of using a coupon for 5 % off before taxes , getting a rebate of $ 20 after taxes , or getting a discount of $ 18 before taxes If the sales tax rate is 8 % , which option is the better deal
Do 4x and 15 + x have the same value if x is 5?
Yes
or
No
Jamie invests money. In the first year it increases to 110% of its original value.
He spends 20% of the profit on a cricket bat and 1/8 of the reminder on a cricket jumper.
He is left with £140 profit. How much did Jamie invest?
Answer:
£2000
Step-by-step explanation:
Let the money invested be x.
After 1 year, the money is now 110% of x = 1.1x
Original amount of money: x
Profit in 1 year: 0.1x
He spends 20% of the profit on a cricket bat.
0.2 * 0.1x = 0.02x spent on cricket bat
The reminder of the profit is 0.8 * 0.1x = 0.08x
He spends 1/8 * 0.08x on a cricket jumper.
Amount of profit he has:
0.1x - 0.02x - 0.125 * 0.08x
This equals £140
0.1x - 0.02x - 0.125 * 0.08x = 140
0.08x - 0.01x = 140
0.07x = 140
x = 140/0.07
x = 2000
Answer: £2000
Please solve 64^x=4096
Answer:
2
Step-by-step explanation:
64x64=4096
So its 64^2=4096
Answer:
x=2
Step-by-step explanation:
Given: 64ˣ=4096
Take the logarithm of each side: log₆₄(64ˣ)=log₆₄(4096)
Final answer: x=2
septimus has a seven-sided coin. he turns it over from right to left in front of him, rotates it 3/7 turn clockwise, turns it over again in the same way, and then turns 1/7 anticlockwise. this is the same as a clockwise turn by which of the following?
A. 2/7
B. 3/7
C. 4/7
D. 5/7
Answer:
B
Step-by-step explanation:
what's the volume of this composite figure
a. 272 cubic inches
b. 192 cubic inches
c. 180 cubic inches
d. 372 cubic inches
please help!! I'll give brainiest
Answer:
372 in³
Step-by-step explanation:
v1 = 12×4×4=192 in³
v2 = 12×3×5=180 in³
total volume =180 +192 =372 in³
Does the point (–3, 2) satisfy the equation y = x − 5?
Answer:
No the point (-3,2) doesn't satisfy the equation.
Step-by-step explanation:
2 = -3 -5
(-3) -5
-3 + -5 = -8
2= -8 is false
4. What is the value of .r in the figure shown
below?
록
"Find the missing side" , its due today.
Please help me on my homework.
Answer:
X=9 I think
Step-by-step explanation:
Irdk coz I suck at math
What does the slope and y-intercept mean?
Answer:
D
Step-by-step explanation:
f(x) = 3 1/3x + 35 slope: 3 1/3, y-intercept = 35
f(x) = mx + b
slope↑ ↑y-intercept
If you answer I will mark you Brainliest!
Answer:
divide the figure into two parts.
area of triangle = 1/2×base×height
area of triangle = 1/2×3×3
area pf triangle = 4.5 units²
area of square = side²
area of square = 3²
area of square = 9unit²
Answer:
The figure is made up of a square and a triangle.
We will find both of their areas separately and then combining them will give us the required area.
Area of the triangle : ½ × base × height
= ½ × 3 × 3
= ½ × 9
= 4.5 units²
Area of the square : (side)²
= 3²
= 9 units²
Now, required area = (4.5 + 9) units²
= 13.5 units²
Using the net below, find the surface area
of the pyramid.
4cm
2 cm
12 cm
Surface Area
=
[?] cm2
Enter
Answer:
everything is in the picture
Which equation can best be modeled by the expression 10(-4)
I will give you BRAINLIEST for the correct answer
Answer:
126
AS:
If these cubes are to to be placed so that their respective faces are parallel
or perpendicular, as the case may be, to the respective orientations of the
dimensions of the box, without tilting any cubes in any directions,
then choice B) can be justified. This leaves spaces (some volume) in the box
not filled by the cubes.
How many whole number of edges of the cubes fit into 4 cm?
4 / 3 √ 2 must be rounded down to 3.
How many whole number of edges of the cubes fit into 8 cm?
8 / 3 √ 2 must be rounded down to 6.
How many whole number of edges of the cubes fit into 10 cm?
10 / 3 √ 2 must be rounded down to 7.
Then (3)(6)(7) = 126
The rectangle QPRS is translated 4 units to the up and 6 units to the left. Which rule describes the transformation that was applied to
rectangle QPRS to create rectangle QP'R'S?
o (x,y) → (X-6, y + 4)
o (x,y) → (x-4, y+6)
o (x,y) → (x+4, y-6)
o (x,y) → (X+6 Y-4)
Answer:
C. (x + 4, y - 6)
Step-by-step explanation:
Going up means to add.
When you go up you are in the positives.
When you go left or down on a graph you are in the negatives.
The cost of a new car is $16,500. You can Finance the purchase by paying $500 down, and $350 a month for 60 months. What is the amount financed (Cash Price - Down Payment)?
Answer:
the amount financed is $16,000
Step-by-step explanation:
The computation of the amount financed is shown below:
As we know that
Amount financed = cash price - down payment
= $16,500 - $500
= $16,000
Hence, the amount financed is $16,000
If we deduct the down payment from the cash price so we can get the amount financed
And, the same would be considered
HELP ME PLAESE ASAPPP
Question to this please not sure
Answer:
6
Step-by-step explanation:
Answer:
6 miles
Step-by-step explanation:
d = 2xr
2x3 = 6
hope this helps
Please help! no links and scams pls. Giving brainliest if correct
Answer:
A) What is the opposite of the absolute value of negative 4?
B) What is the absolute value of negative 4?
C) What is the opposite of 4?
D) What is the absolute value of 4?
Step-by-step explanation:
Find the cube root of -8.
Answer:
The cube root of -8 is -2
Step-by-step explanation:
Factor the numbers 8=2^3
-∛2³
Apply radical rule;
∛2³=2
=-2
HOPE THIS HELPED!!!
An explanation would be helpful.
Answer:
Region B & C
Step-by-step explanation:
Usually, in inequality graphs, the solutions are usually located in the shaded region of the graph.
Also, we make the boundary line thick if the points on that line also contain solutions to the inequality.
In this question, the boundary line of function g(x) is thick and the shaded region is B and C.
yes I need help with another one ASAP
Step-by-step explanation:
(-1,-1) (0,3)
3- -1 / 0 - -1 = 4/1 = 4
slope is 4
Find the value of X?
Answer:
Using this to get my answer done ;)
Step-by-step explanation:
hehe
Solve the practice problems
For points!!!
Answer:
A. 1.25$
B. 1.75$
C. i.dk s.rry
D. 5.0625
E. i dont know
Step-by-step explanation:
Step-by-step explanation:
a. if $5=4
??=1
if less more divide
¼*5
=$1.25
b. $3.5=½
??=1
if more less divide
$3.5*2=
$7
c. $8.25=3/2
??=1
if less more divide
1*⅔*$8.25
= $5.5
d. $6.75=¾
??=1
if more less divide
4/3*6.75
=$9
e. $5.50=25/4
??=1
if less more divide
4/25*5.5
=$0.88
PLEAS HELPHELP
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Given f(x)=sin x and g(x)=cos x, show that f(g(pi/2))=0. Show all your steps.
Answer:
f (g (pi / 2)) = 0
Step-by-step explanation:
We have the following functions:
f (x) = sin x
g (x) = cos x
The first thing we must do in this case is the composition of functions:
f (g (x))
By making the composition we have:
f (g (x)) = sin (cos x)
We evaluate for x = pi / 2:
f (g (pi / 2)) = sin (cos (pi / 2))
f (g (pi / 2)) = sin (0)
f (g (pi / 2)) = 0
HELP WHATS THE ANSWER FOR THIS, WILL MARK BRAINLIEST!!!
ita the first answer 65..............