Answer:
9
Step-by-step explanation:
5x - 27 / - 3 = - 6
5x - 27 = - 6 x ( - 3 )
5x - 27 = 18
5x = 18 + 27
5x = 45
x = 45 / 5
x = 9
A grain dealer sold to one customer 5 bushels of wheat, 2 of com, and 3 of ryo, for $228: to another, 2 of wheat, 3 of corn, and 5 of ryo, for $228, and to a third, 3 of wheat, 5 of com, and 2 of rye, for $228. What was the price per bushel for com?
Answer:
2.30 :) hope this helps!!!!!!! :)
Step-by-step explanation:
w = wheat c = corn r = rye
6w + 3c + 6r = 45.90
3w + 6c + 6r = 49.20
6w + 6c + 3r = 41.40
since you want the answer for c, manipulate then add 2 equations that will get rid of 1 variable:
if we multiply the first equation by -1 then add it to the second equation, it will eliminate the r
-6w - 3c - 6r = - 45.90
3w + 6c + 6r = 49.20
------------------------------------
- 3w +3c = 3.30 or w - c = - 1.10
If we multiply the 3rd equation by -2 then add it to the first equation, it will eliminate the r again:
-12w - 12c - 6r = - 82.80
6w + 3c + 6r = 45.90
------------------------------------------
- 6w - 9c = - 36.90 or 2w + 3c = 12.30
now we have 2 equations and 2 variables that we can solve by substitution:
w = c - 1.10
2(c - 1.10) + 3c = 12.30
2c - 2.20 + 3c = 12.30
5c = 14.50
c = 2.90
w = c - 1.10 or 1.80
3r = 41.40 - 6(1.80) - 6(2.90)
3r = 13.20 r = 4.40
I will pick the 2nd equation to check my answers :)!
3(1.80) + 6(2.90) + 6(4.40) = 49.20
5.40 + 17.40 + 26.40 = 49.20
As per linear equation, the price per bushel for corn is $22.8.
What is a linear equation?A linear equation is an equation that has one or multiple variable with the highest power of the variable is 1.
Given, a grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $228.
To another customer, he sold 2 of wheat, 3 of corn, and 5 of rye, for $228.
To a third customer, 3 of wheat, 5 of corn, and 2 of rye, for $228.
Let, per piece of wheat is of $x.
Per piece of corn is of $y.
Per piece of rye is of $z.
Therefore, 5x + 2y + 3z = 228 ....(1)
2x + 3y + 5z = 228 .........................(2)
3x + 5y +2z = 228 ..........................(3)
Multiplying equation(1) by '2' and equation(2) by '5' and substract, we get:
2(5x + 2y + 3z) - 5(2x + 3y + 5z) = 2(228) - 5(228)
⇒ (10x + 4y + 6z) - (10x + 15y + 25z) = - 3(228)
⇒ (- 11y - 19z) = - 684
⇒ 11y + 19z = 684 ......(4)
Multiplying equation(2) by '3' and equation(3) by '2' and substract, we get:
3(2x + 3y + 5z) - 2(3x + 5y +2z) = 3(228) - 2(228)
⇒ (6x + 9y + 15z) - (6x + 10y + 4z) = 228
⇒ - y + 11z = 228 .......(5)
Now, multiplying equation(5) by '11' and then add with equation (4), we get:
11y + 19z + 11(- y + 11z) = 684 + 11(228)
⇒ 140z = 3192
⇒ z = 22.8
Putting the value of 'z' in equation (5) we get:
- y + 11(22.8) = 228
⇒ y = 22.8
Now, putting the values of 'y' and 'z' in equation (1), we get:
5x + 2(22.8) + 3(22.8) = 228
⇒ 5x = 114
⇒ x = 22.8
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A box contains 2 blue markers, 5 green markers and 3 yellow markers. What is the probability of drawing a blue marker, replacing it, then drawing a yellow marker?
Write as a fraction in simplest form
Answer: 2/3
Step-by-step explanation 5/15 is the probability of blue marble will get picked but if simple form will be 2/3
I need help please. I need the the discount and selling price. Thank you
The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?
Answer: 20 meters
Step-by-step explanation:
A= w l
A= A /w = 600/30 = 20m
L= 20 m
If iis raised to an odd power, then it can not simplify to be
0-1
O-1
Oi
O-1 id k maybe
I tried ok have a great day
The value of i³ will be equal to - i. The correct option is D.
What is a complex function?The functions which are having two parts to the numbers one is the real part and the other is the imaginary part. The imaginary part is written with 'i' called 'iota'.
Multiplying is the process of adding a number to itself a certain number of times. It is possible to think about multiplication as a process of repeated addition.
Given that;
i = √ - 1
Simplify the given value as below,
i = √ - 1
i² = - 1
i³ = - 1 × i
i³ = - i
Hence, the value of i³ is,
⇒ i³ = - i
Learn more about the complex numbers visit:
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The complete question is given below.
If i=1, what is the value of 1³?
A -1
B i
C 1
D -i
I need help on finding this answer
Answer:
I think Cube
Step-by-step explanation:
What’s the correct answer for this question?
4. A system of equations is shown below.
5x + 2y = - 15
2x-2y= -6
What is the solution to the system of equations?
Answer:
first one is x=-15-2y/5
second one x=y-3
Step-by-step explanation:
Let X denote the number of Canon SLR cameras sold during a particular week by a certain store. The pmf of X is Fifty-five percent of all customers who purchase these cameras also buy an extended warranty. Let Y denote the number of purchasers during this week who buy an extended warranty.
x 0 1 2 3 4
px(x) 0.1 0.2 0.3 0.25 0.15
Required:
a. What is P(X = 4, Y = 2)?
b. Calculate P(X = Y).
Answer:
Step-by-step explanation:
From the information given:
X represent no of Canon SLR
The pmf is given as:
X 0 1 2 3 4
p(x) 0.1 0.2 0.3 0.25 0.15
p = P(customers that purchase the camera & also purchase an extended waranty.
As a result, the conditional distribution Y provided X approaches a Binomial distribution with n = x and p = 0.55 as the parameter.
[tex]\dfrac{Y}{X}\sim Bin (n = x, p=0.55) y =0.1, ... x \ and \ X = 0,1,2,3,4[/tex]
The condition probabilities Y given X is:
[tex]P (\dfrac{Y=0}{X=0}) = 1 \\ \\ P(\dfrac{Y=0}{X=1} ) = 0.45 and P(\dfrac{Y=1}{X=1}) = 0.55 \\ \\ P(\dfrac{Y=0}{X=2}) = 0.2025 , P(\dfrac{Y=1}{X=2}) = 0.495, P(\dfrac{Y=2}{X=2}) = 0.3025 \\ \\ P(\dfrac{Y=0}{X=3}) =0.091125 , P(\dfrac{Y=1}{X=3} ) =0.334125 , P(\dfrac{Y=2}{X=3}) = 0.408375; \ \ \& \ \ P(\dfrac{Y=3}{X=3}) = 0.166375 \\ \\[/tex]
[tex]P(\dfrac{Y=0}{X=4}) =0.041006 \ , \ P(\dfrac{Y=1}{X=4} ) =0.200475 , \ P(\dfrac{Y=2}{X=3} ) =0.367538 , \\ \\ P(\dfrac{Y=3}{X=4} ) =0.299475 , \ P(\dfrac{Y=4}{X=4} ) =0091506 ,[/tex]
Now, the joint P.D (probability Dist.) of X & Y is expressed as:
[tex]P(\dfrac{Y=y}{X=x} ) = P\dfrac{Y=y\ , \ X=x }{X=x} \\ \\ P(X=x,Y=y) = P(\dfrac{Y=y}{X=x} ) \times P(X=x)[/tex]
The Joint P.D is;
Y Total
0 1 2 3 4
X 0 0.1 0 0 0 0 0.1
1 0.09 0.11 0 0 0 0.2
2 0.06075 0.1485 0.09075 0 0 0.3
3 0.022781 0.083531 0.102094 0.041594 0 0.25
4 0.006151 0.030071 0.055131 0.044921 0.013726 0.15
Total 0.279682 0.372103 0.247974 0.086515 0.013726 1
(a)
P(X=4,Y=2)
From the table above:
P(X=4,Y=2) = 0.055131
(b)
[tex]P(X=Y ) \implies P (X=0,Y=0) + P (X=1,Y=1) +P (X=2,Y=2) +P (X=3,Y=3) +P (X=4,Y=4) \\ \\ = 0.1 +0.11 + 0.09075 + 0.041594 + 0.013726 \\ \\ \mathbf{= 0.35607}[/tex]
A person invested $420 in an account growing at a rate allowing the money to double
every 10 years. How long, to the nearest tenth of a year would it take for the value of
the account to reach $960?
Answer:
t=11.9
Step-by-step explanation:
960=420(2)^t/10
2.28571429=2^t/10
add log to both sides
log(2.28571429)=10 t log(2)
divide by log 2
1.19264508= 10 /t
10(1.19264508)
11.926450779=t
Find the area of the trapezoid:
28 in.
16 in.
21 in.
Billy has two tables to seat the 12 people.
The top of each table is a rectangle 3 m by 1 m.
Each person sat at a table needs a space of length 1 m.
Billy wants to put the two tables together so that
they touch along one edge
all 12 people can sit at a table. Draw a diagram to show how Billy can put the two tables together.
Use the space below to draw your diagram.
Answer:
What is this I have not understand
A study of the effects of exercise used rats bred to have high or low capacity for exercise. The 8 high-capacity rats had mean blood pressure 89 mm Hg and variance 81 (mm Hg)'; the 8 low-capacity rats had mean blood pressure 105 mm Hg with variance 169 (mm Hg). What is the value of the two-sample t statistic for comparing the two population means
Answer:
T statistic = 0.256
Step-by-step explanation:
Given :
High capacity rats:
nh = 8
Xh = 89
s²h = 81
Low capacity rats :
nl = 8
Xl = 105
s²l = 169
Test statistic :
(Xh - Xl) ÷ Sp(sqrt(1/nh + 1/nl))
Pooled variance (Sp) :
[(nh - 1)s²h + (nl - 1)s²l] ÷ (nh + nl - 2)
[(8 - 1)*81 + (8 - 1)*169] ÷ (8 + 8 - 2)
(7*81 + 7*169) ÷ 14
= 1750 / 14
= 125
Hence,
(89 - 105) ÷ 125(sqrt[1/8 + 1/8)
16 ÷ (125 * 0.5)
16 /62.5
= 0.256
Quadrilateral ABCD has side lengths of 2, 5, 7, and 12. A new quadrilateral is created, using a scale factor of 0.25. Which of the following are side lengths of the new quadrilateral? Choose all that apply: 1.) 1.75 2.) 3 3.) .75 4.) 5 5.) 2.25 6.) 1.25
Answer:
1, 2, and 6
Step-by-step explanation:
5*.25=1.25 7*.25=1.75 12*.25=3
What is the answer please help no links please no links please no
Which equation can be used to solve for x in the following diagram
Answer:
c) 5x + 13x = 180
Step-by-step explanation:
c) 5x + 13x = 180
c) 5x + 13x = 180
Robert recently purchased a bond for $1350. The bond has a par value of $1000 and a coupon rate of 4.00%. Based on this
information, you know that Robert's current effective interest rate earned on the bond is
and when the bond matures
he will receive
O 4.00%; $1000.
O 2.96%; nothing.
O 2.96%; $1000.
O 4.00%; $1350.
Write an expression for the area of each section of the wall.
***NOTE, that x is the TOTAL length of the rectangle so you can't call x the length of each of the 5 sections.
Answer:
50
Step-by-step explanation:
10*5=50
Help me pls I’m stuck
Answer: 44
Step-by-step explanation:
<R is an inscribed Angle- so if we follow it's ends to the intercepted Arc we are looking at arc NQ
the intercepted arc is 2 times the measure of the inscribed angle, so arc NQ is 44 (22*2)
<O has the same measure as the arc NQ so angle O is 44
20. Find the volume of the hemisphere in terms of pi. Round to the nearest whole number. 5 in 5 in
Answer:
Step-by-step explanation:
Someone come help him out
I need the answer please don’t scam with a link
A boy collects a total of 316 stamps, stickers and coins altogether. He collects 4 times as many stamps as stickers. There are 46 coins. How many stamps are there?
Answer:
270 i tink it is the answer
184 Answer:
Step-by-step explanation:
4 times as
NEED ANSWER ASAP WILL GIVE BRAINLIEST FOR CORRECT ANSWER
Answer:
y = 8x
Step-by-step explanation:
Since slope is 8/1 which is equal to 8 and x-intercept is 0.
Put these in slope-intercept equation i.e y = mx + b
Answer:
Y=8x
Step-by-step explanation:
You have to calculate the slope. Delta y over delta x
What is the y-intercept in the graph below?
y
1
Answer:
1
Step-by-step explanation:
y-intercept: the point where the line and the y-axis intersect
Answer:
y-intercept =1
Step-by-step explanation:
The y -intercept of a graph is the point where the graph crosses the y -axis.
write numbers on the blanks to create a different expression that is equal to (3+4)+5
Answer:
(3+4)+5=12
Step-by-step explanation:
(3 + 4 ) = 7
7 + 5 =
12
PLEASE HELP QUICKLY I WILL GIVE BRAINIEST IF U GET IT RIGHT math teacher assigns anywhere from 15 to 35 problems for homework three nights a week. Over the past three weeks, she recorded the number of problems in each assignment and made the box plot shown above. Which of the sets of numbers below matches the given box plot?
A.
Number of Problems: 15, 17, 22, 22, 22, 25, 28, 30, 35
B.
Number of Problems: 15, 20, 22, 22, 23, 25, 28, 30, 35
C.
Number of Problems: 15, 20, 22, 22, 22, 25, 28, 30, 35
D.
Number of Problems: 15, 20, 22, 22, 22, 25, 26, 30, 35
best answer gets a brainliest answer it’s due today
Answer:
b
Step-by-step explanation:
I think b is your answer if not I'm so sorry.
Do. -1° of Z is
A (1, -1)
B (-1, 1)
C (-3/2, 1)
Jasmine has $4.90 in quarters, dimes, nickels, and pennies. She has 2 more dimes than quarters. She has 3 more nickels than quarters. She has 4 more pennies than quarters. How many quarters does Jasmine have? Note: A quarter is worth $0.25, a dime is worth $0.10, a nickel is worth $0.05, and a penny is worth $0.01.
Answer:
dw
Step-by-step explanation:
During a winter storm, the amount of snowfall was recorded in 5 different locations. All measurements have been rounded to the nearest 1/2 inch. How many times as great is the amount of snow at the location that received the most snow as the location that received the least snow?
Answer:
Most snow- 3 1/2 inch least snow, 1/2 inch
Step-by-step explanation: