Answer:
trail mix costs 1.00 per pound
jelly beans costs 3.50 per pound
Step-by-step explanation:
t = cost of trail mix
b = cost of jelly beans
3t+8b = 31
5t+2b = 12
Multiply the second equation by -4
-4(5t+2b = 12)
-20t+-8b = -48
Add this to the first equation
3t+8b = 31
-20t+-8b = -48
-------------------------
-17t = -17
Divide by -17
t = 1
Now we can find b
3t+8b = 21
3(1) +8b = 31
3+8b =31
Subtract 3
8b = 31-3
8b = 28
Divide by 8
b = 28/8
b = 7/3
b = 3.50
Let trail mix be x and jelly beans be y
The equations are
3x+8y=31-(1)5x+2y=12-(2)Multiplying (1) by 1 and (2) by 4
3x+8y=31---(3)20x+8y=48--(4)Subtracting
[tex]\\ \sf\longmapsto -17x=-17[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Putting in eq(2)
[tex]\\ \sf\longmapsto 5(1)+2y=12[/tex]
[tex]\\ \sf\longmapsto 2y=7[/tex]
[tex]\\ \sf\longmapsto y=7/2[/tex]
Can someone help me with this please?
Answer:
0.5236 radians or 30 degrees
Step-by-step explanation:
We want to find the angle based on the opposite side and the hypotenuse. Therefore, we need to use the inverse sine function:
Θ = sin[tex]^{-1} (\frac{5}{10})[/tex]
Simplifying the function, we get:
Θ = sin[tex]^{-1} (\frac{1}{2})[/tex]
Inputting this into a calculator, we get Θ = 0.5236 radians or 30 degrees.
Step-by-step explanation:
sin θ = 5cm/10cm
sin θ = ½
sin θ = sin 30°
therefore, θ = 30°.
hope this helps you.
Which of the following represents the sum of the series below?
4 + 7 + 10 + 13 + 16 + 19 + 22 + 25 + 28 +31 + 34 + 37 + 40
བ( 13:40)
+
2
о
13
4+40
2
40=3+(n-1)4
40=4+(n-1)3
This expression 40=4+(n-1)3 represents the correct arithmetic progression.
What is an arithmetic progression?
Every term following the first is derived by adding a constant value, known as the common difference, in an arithmetic progression.
We have,
4 + 7 + 10 + 13 + 16 + 19 + 22 + 25 + 28 +31 + 34 + 37 + 40
Arithmetic progression formula:
[tex]a_{n}=a_{1}+(n-1)d[/tex]
where
[tex]a_{n}[/tex] = the nᵗʰ term in the sequence
[tex]a_{1}[/tex] = the first term in the sequence
[tex]d[/tex] = the common difference between terms
By using arithmetic progression formula we can find last term of an Arithmetic series.
[tex]a_{n}=a_{1}+(n-1)d[/tex]
[tex]a_{n}[/tex]= 4 + (n-1)3
[tex]a_{n}[/tex] = 4 + (13-1)3
[tex]a_{n}[/tex] = 40.
we have calculated the last term by using arithmetic progression formula which is 40.
Hence, This expression 40=4+(n-1)3 represents the correct arithmetic progression.
To learn more about arithmetic progression from the given link,
https://brainly.com/question/24191546
#SPJ1
There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 play attack only. Represent the information on a Venn diagram and find number of players who play all the three positions
Answer: There are 22 players in a football team, 9 play defense, 10 play midfield and 11 play back, 5 play defense only, 4 play midfield only and 6 ...
Step-by-step explanation:Represent the information on Venn diagram. 2.how many players play all the three positions.
A football team needs £465 to buy a new kit.
They raise £52.45 by holding a cake sale.
How much more money do they need to raise?
For every 3 boys in the class, there are 4 girls. How many boys are in the class if there 24 girls in all?
What the difference between Infinity and undefined
Step-by-step explanation:
Infinity means that it has no end to something
And undefined means something can't be defined
Answer:
Undefined means, it is impossible to solve.
Infinity means, it is without bound.
write the standard form of the equation of the circle with the given characteristics end point of diameter (-4,-1) , (4,1)
Answer:
x² + y² = 17
Step-by-step explanation:
The standard equation of a circle is :
(x -h)² + ( y -k) ²= r², where (h, k) are the a coordinate of the center of the circle and r is the radius of the circle
If the end point of diameter has the coordinates (-4,-1) and (4,1) then the center is at the origin so we have (h= 0, k= 0)
The radius is half of the diameter so is the distance form (0,0) to (4, 1).
We can use Pythagorean Theorem to find r²
r ² = 4²+1² = 17
(x -h)² + ( y -k) ²= r², substitute what we found out
(x -0)² + ( y -0) ²= 17
x² + y² = 17
This is the equation of the circle given characteristics end point of diameter (-4,-1) , (4,1)
Does anyone know these answers?
Answer:
1. M
2. H
3. A
4. K
5. B
6. C
7. G
8. E
and so on
Step-by-step explanation:
definitions to know:
same side interior/exterior angles
vertical angles
alternate interior/exterior angles
corresponding angles
log(AsqrootB) + log(A^5
) =
Answer:
log(A^8)
Step-by-step explanation:
because i learned it a bit early as a teen
what is 1 1/2 of 150 and what is 1/2 of 180
Answer:
1 1/2 of 150 is 225 and 1/2 of 180 is 90
Step-by-step explanation:
1 1/2 of 150 basically means 1 1/2 x 150, which equals to 225. 1/2 of 180 means 1/2 x 180 which is 90.
Answer:
1 1/2 of 150 is "225" and
1/2 of 180 is "90"
Step-by-step explanation:
1 1/2 of 150 basically means 1 1/2 x 150, which equals to 225. 1/2 of 180 means 1/2 x 180 which is 90.
Hope this helps :)
Solve three fourths times two thirds help meeeeeee
Answer:
1/2
Step-by-step explanation:
A map has a scale of 1 cm to 20km. Rewrite the scale as a ration in its simplest form.
BRAINLIEST HELP PLS !!!!!
Answer:
1 : 2000000
Step-by-step explanation:
we have to convert 20km into cm so
20km×100000
=2000000
So ratio is 1:2000000
MARK ME BRAINLIEST PLS!Answer:
1:2000000.
Step-by-step explanation:
1 km = 1000m = 100*1000
= 100,000 cm
20 km = 2,000,000 cm.
consider the sequences 31,35,39,43 ,then which of the following is the first terms of the sequences greater than 312
Answer:
316 ls the next term greater than 312. in the sequence you are adding 4 to the preceding term
Let F(x) =( 3x/2) - (14/3) for x = 4. What is the value for F(x)
Answer:
f(4) = 1.4
Step-by-step explanation:
f(x) = (3x/2) - (14/3)
We are given that x = 4
f(4) = (3(4)/2) - (14/3)
f(4) = (12/2) - (14/3)
f(4) = 6 - (14/3)
14/3 as a decimal is 4.6
f(4) = 6 - 4.6
f(4) = 1.4 (approximately)
I need to understand this can anyone explain me the easiest way please
Find f(g(2)).
f(x) = 2x + 1
g(x) = 5x
10
12
21
-14
Answer:
21
Step-by-step explanation:
First, we have to find g(2)
Plug in 2 in the g(x) equation
g(2) = 5(2) = 10
Now, we have f(10)
Pug in 10 in the f(x) equation
f(10) = 2(10) + 1
f(10) = 20 + 1 = 21
Pleaseeeeee helpppppppppppp
right answer only plz and thank u
Answer:
[tex](x-1)^2(x+3)[/tex]
Step-by-step explanation:
For factorization the given expression you can use the Ruffini's rule.
First find the divisors of the independent term (these are the possible rational roots), in the given polynomial the independent term is [tex]3[/tex].
[tex]3 = \{\pm1,\pm3\}[/tex]
Now replace each number in the polynomial
[tex]P(1) = 1^3 + 1^2 - 5(1) + 3 = 0[/tex]
If the result is equal to 0 that's meaning that is a possible root of the polynomial. Then for know if is a root you have to divide the polynomial by [tex](x - \text{possible root})[/tex].
[tex](x^3 + x^2 -5x+3 )/ (x-1)[/tex]
In the first row are the coefficients of the given polynomial.
In the second row are the product between the coefficients and the independent term of the [tex]x-1[/tex].
The third row are the coefficients of the quotient polynomial (except the last that is the remainder).
[tex]\qquad 1\qquad 1\qquad-5\qquad \quad3\\1\qquad\qquad1\qquad \quad 2\qquad-3\\-------------\\ 0 \ \ \quad1 \qquad 2 \qquad -3 \qquad \quad 0[/tex]
Because the last term is the remainder and it's 0 you can factorizate [tex](x-1)[/tex] and the quotient polynomial is equal to
[tex]x^2 + 2x -3[/tex]
So our current expression is [tex](x-1)(x^2 + 2x -3)[/tex], however you can factorizate the quotient polynomial in:
[tex]x^2 +sx +rx +rs = x^2 + 3x -x + 3(-1) = (x + 3)(x -1)[/tex]
So the last expression is:
[tex](x-1)(x+3)(x-1) = (x-1)^2(x+3)[/tex]
answer me......
...................
......
........
...........
Answer:
Step-by-step explanation:
Okay! What times 9 is 90? 10!
what times 8 is 72? 9!
what times 7 is 56? 8
what times 6 is 42? 7!
what times 5 is 30? 6!
what times 4 is 20? 5!
what times 3 is 12? 4!
Do you see the pattern?
9=90
8=72
7=56
6=42
5=30
4=20
3=12
2=6
1=2
HOPE THIS HELPPEDD :3
On Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance?
-16.75 + (5.72 + 16.75)
Use the commutative property to get:
-16.75 + (16.75 + 5.72)
Use the associative property to get:
(-16.75 + 16.75) + 5.72
Answer:
5.72
Step-by-step explanation:
(-16.75 + 16.75) = 0
0 + 5.72= 5.72
Therefore, the answer is 5.72
I need to answer the bottom question please help me ASAP
Answer:
60 degrees
Step-by-step explanation:
Because line ED exists, the sum of 100, 20, and x must be 180. So, just solve for x in the equation 100 + 20 + x = 180
20 + x = 80
x = 60
Jay has written 24 songs to date. He writes an average
of 6 songs per vear. Jenna started writing songs this
year and expects to write about 12 songs per year.
How many years from now will Jenna have written
as many songs as Jay Write and graph a system of
equations to find your answer.
Step-by-step explanation:
I'm sorry could you maybe send more information so I could help you
Describe how to use the FOIL Method with (x+1)(x+2) as your example.
Multiply (-2-i)(4+I)
Answer:
Step-by-step explanation:
(-2-i)(4+I)
= (-8-2i-4i-l)
thats it basically since there are two unknowns so it cant be simplified further
If Ricardo walks 6 miles in 101 minutes, then how far will Ricardo walk in 110 minutes?
Write answer as a integer or a reduced fraction.
Step-by-step explanation:
Given:
6 miles ⇒ 101 minutesx miles ⇒ 110 minutesFind the values of x using proportions:
x = 6*110/101x = 660/101x = 6 54/101 milesor
x = 6.53 milesHelp help me help help
calculate each angle measure.
Answer:
m1=90
m2=68
m3=112
m4=112
m5=68
m6=56
m7=124
m8=124
consider the line y= -9x + 5
Answer:
x= 5/9
Step-by-step explanation:
y=-9x+5
0=-9x+5
9x=5
x=5/9
a prism is a 3d shape with the same _______ all the way through
Answer:
cross-section
Step-by-step explanation:
prism is a type of three-dimensional (3D) shape with flat sides.
It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.
If a shirt cost $60 is on sale for 50% off and you have another offer that gives you an additional 20% off the sale price does that mean you get a total of 70% off show your work to justify your answer
Answer:
No
Step-by-step explanation:
50 % off $60 =$30
20% off $30 =$6
But 70% =42
Therefore it's not the same as 70%
Problem 6 6 Previous Problem Problem List Next Problem (3 points) According to the 2010 United States Census, the population of a town was 98034, roughly a 27% increase from 77192 in 2000. blems Construct an exponential model to predict the town's population each decade. Use your model to predict the population of the town in 2050. (Express your answer rounded to the nearest whole person.) Hint: Note: You are in the Reduced Scoring Period: All additional work done counts 50% of the original. Preview My Answers Submit Answers Show me another You have attempted this problem 5
Answer:
125,148 to the nearest person
Step-by-step explanation: