Answer:
14x + y
Step-by-step explanation:
14x - 3x + 2y - y + 3x | Given
14x + 2y - y | Combine like-terms (add the x's)
14x + y | Combine like-terms (subtract the y's)
A lawn seed mixture contains three types of seed: bluegrass, rye, and Bermuda. The costs per pound of the three types of seed are 12 cents, 14 cents, and 3 cents, respectively. In each batch there must be at least 25% bluegrass seed, and the amount of Bermuda must be no more than 2/3 the amount of rye. To fill current orders, the company must make at least 6000 pounds of the mixture. How much of each kind of seed should be used to minimize cost
Answer:
612 dollars
Step-by-step explanation:
From the given information:
Amount of the total mixture = 6000 pounds
Also, for each batch, there needs to be at least 25% bluegrass seed.
It implies that:
In 6000 pounds, there are (25×6000)/100 = 1500 pounds of bluegrass seed.
The remaining amount of (6000 - 1500 = 4500)pounds will be for rye and Bermuda.
Suppose the amount of rye seeds = x pounds
while that of Bermuda is (4500 - x) pounds
Then, since the amount of Bermuda contains no more than 2/3 of that of rye.
The equation can be written as:
[tex]( 4500 - x) = \dfrac{2x}{3}[/tex]
13500 - 3x = 2x
13500 = 5x
[tex]x = \dfrac{13500}{5}[/tex]
x = 2700
Now, the amount of rye seed = 2700 pounds
while that of Bermuda seed = 4500 - 2700 = 1800 pounds
However, For Bluegrass, we are told that the cost of 1 pound is 12 cents.
So, the cost of 1500 bluegrass seeds = 12 × 1500 = 18000 cents
For rye seed; cost of 1 pound = 14 cents
the cost of 2700 rye seeds = 14 × 2700 = 37800 cents
For Bermuda seed; cost of 1 pound = 3 cents
the cost of 1800 rye seeds = 3 × 1800 = 5400 cents
The total amount = (18000 + 37800 + 5400) = 61200 cents
Recall that:
100 cents = 1 dollars
61200 cents = x dollars
x = 61200 cents/100 cents
x = 612 dollars
Thus, the minimum cost is 612 dollars.
Jazmin has increased her $45 by m dollars and then spends a third of the entire amout.
X + 14 = 56 What would I do to both sides to answer this equation? O Multiply both sides by 14 © Subtract both sides by 14 Subtract both sides by 14 Add both sides by 14
To solve for X in this equation, you would subtract both sides by 14 because our goal is to get X on its own. If we write it out, we see that
X + 14 - 14 = 56 - 14
X=42
Because we have a positive 14, a negative 14 will average out to be 0, but what you do to one side, you must do to the other.
If you have any more questions, feel free to ask!
A car traveling 118 miles uses 4 gallons of gas. At this rate, how many miles can it travel using 13 gallons of gas
Answer:
12 miles per gallon
Step-by-step explanation:
I hope this helps
Step-by-step explanation:
118 miles = 4 gallons 118 ÷ 4 miles = 1 gallon29.5 miles = 1 gallonso, therefore( 29.5 × 13 )miles = 13 gallons383.5 miles = 13 gallonsMARK ME BRAINLISTFOLLOW METhe comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained by the test taker's parents are provided. A research hypothesis was that students whose parents had attained a higher level of education would on average score higher on the SAT. The overall mean SAT math score was 514. SAT math scores for independent samples of students follow. Two samples are contained in the Excel Online file below. The first sample shows the SAT math test scores for students whose parents are college graduates with a bachelor's degree. The second sample shows the SAT math test scores for students whose parents are high school graduates but do not have a college degree.
Student’s Parents
College
485
534
650
554
550
572
497
592
Grads
487
533
526
410
515
578
448
469
High School
442
580
479
486
528
524
Grads
492
478
425
485
390
535
a. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. population mean math score parents college grads. population mean math score parents high school grads. _____ _____
b. What is the point estimate of the difference between the means for the two populations?
c. Compute the p-value for the hypothesis test.
d. At αα= .05, what is your conclusion?
Answer:
H0 is rejected and Ha is accepted that the students show a higher population mean math score on the SAT if their parents attained a higher level of education.
Step-by-step explanation:
Part a:
The null and alternate hypothesis can be formulated as
H0 : u1 ≤ u2 the two means ( of students whose parents did or did not attain a higher level of education) are equal .
against the claim
Ha: u1 > u2 the students show a higher population mean math score on the SAT if their parents attained a higher level of education.
Part b:
The point estimate of the difference between the means for the two populations is the difference of sample means
x1`- x2`
525- 487= 38
Student’s Parents
College Grads
x x²
485 487 235,225 237,169
534 533 285,156 284,089
650 526 422,500 267,676
554 410 306,916 168,100
550 515 302,500 265,225
572 578 327,184 334,084
497 448 247,009 200,704
592 469 350,464 219,961
∑xi = 8400 ∑xi ²= 4,462,962
x1`= ∑ xi/n1= 8400/16= 525
Using statistic calculator Using formula : σ(n-1)
s1= 59.4205
High School Grads
x x²
442 492 195,364 242,064
580 478 336,400 228,484
479 425 229,441 180,625
486 485 236,196 235,225
528 390 278,784 152,100
524 535 274,576 286,225
∑xi = 5844 ∑xi ²= 2,875,484
x2`= ∑ xi/n2= 5844/12= 487
Using statistic calculator Using formula : σ(n-1)
s2= 51.7476
x1`- x2`= 525- 487= 38
The test statistic is
t= (x1`- x2`) / √ s1²/n1+ s2²/n2
t= 38/ √(59.4205)²/16 + (51.7476)²/12
t=38 / √3530.7958/16 + 2677.8141/12
t= 1.804
and the degrees of freedom is
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= [3530.7958/16 + (2677.8141/12) ]²/ (3530.7958/16)²/15 +(2677.8141/12)²/11
≈ 25
The degrees of freedom is always rounded in this calculation
From the table t∝ = 1.708
Hence critical value is t ≥ t∝
Reject H0:
Part C.
The p-value is 0.041647.
The result is less than 0.05.
Result:
H0 is rejected and Ha is accepted that the students show a higher population mean math score on the SAT if their parents attained a higher level of education.
Find the value of x, if the mean of 17, 22, 18, 21 and x is 20
Answer:
X=22Step-by-step explanation:
This may be confusing but bear with me
20=(x+17+22+18+21)/5 is our equation because
20 is our mean and we are adding all of our values and diving by how many values we have. we have 5 values
we multiply 5 by 20 to cancel the dividing 5 on the right so
100=x+17+22+18+21
To make this simpler we can add all of the values (except x) so
100=x+78
lets subtract 78 from 100
22=x or x=22
I hope this helped
if ABCD is a square with 4 cm sides, find the length of JL.
Answer:
There's supposed to be a picture to answer from because we don't know where are JL included in the square.
use multiplication to explain why 1/2 divided by 3 equals 1/6
Answer:
Imagine you have half of a cookie. You break it into three pieces to share with friends. You keep one piece, so you have 1/6 of the entire cookie. You can use multiplication to check your work. 1/6x3 =3/6 of 1/2 :D
Step-by-step explanation:
please help me thank you in advance!
Answer:
x = √6/2
Step-by-step explanation:
Side a = 1.73205 --> √3
Side b = 1.22474 --> √6/2
Side c = 1.22474 --> √6/2
Test: Exam 1
Time Remaining: 02:32
This Question: 1 pt
15 of 20 (14 complete)
This Test
Goy Company has a break-even point of 88,000 units. The contribution margin per unit is $9.60. The desired target profit is $18,096. How many units must be sold to achieve the desired profit?
OA 1.885 units
OB. 106,096 units
O C. 88,000 units
OD. 89,885 units
Click to select your answer
o
c
-
CA
1
Type here to search
Answer:
The Answer is A
Step-by-step explanation:
please help me asap!!!
Answer:
g=64.8 meters
Step-by-step explanation:
[tex]\frac{26.1}{24.3}[/tex] = [tex]\frac{69.6}{g}[/tex]
69.6×24.3= 26.1×g
1,691.28=26.1g
64.8=g
g=64.8
Hope this helps! :)
Oh, I got the order of the ratios wrong, I'm sorry.
I just corrected it.
Answer:
64.8
Step-by-step explanation:
Help Please 15 points!!!
What is the lowest common multiple of 24 and 84
Answer:
LCM (24,84) = 168
Step-by-step explanation:
Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.
Multiples of 24:
24, 48, 72, 96, 120, 144, 168, 192, 216
Multiples of 84:
84, 168, 252, 336
Therefore,
LCM(24, 84) = 168
What is 7 and three tenths minus 5 and seven tenths
Answer:
1.6
Step-by-step explanation:
7 and three tenths = 7 + 3/10 = 7.3
5 and seven tenths = 5 + 7/10 = 5.7
7.3-5.7 = 1.6 or can be written as 1 and six tenths, or 1 and three fifths.
Each sundae counts as three , find the mean of the data in the pictograph below. Plsss :)
Answer:
12
Step-by-step explanation:
add the numbers to get the total then divide the total by the amount of columns/numbers.
12 + 12 + 18 + 6 = 48
48 / 4 = 12
Answer:
12 + 12 + 18 + 6 = 48
48/4 = 12
10 x + 3 y=-5
-5 x - 4 y = 10
Answer:
x=2/5, y=-3. (2/5, -3).
Step-by-step explanation:
10x+3y=-5
-5x-4y=10
----------------
10x+3y=-5
2(-5x-4y)=2(10)
-------------------------
10x+3y=-5
-10x-8y=20
-------------------
-5y=15
y=15/-5
y=-3
10x+3(-3)=-5
10x-9=-5
10x=-5+9
10x=4
x=4/10=2/5
Sloving. Two step equation.
Answer:
w=18
Step-by-step explanation:
Answer:
W=18
Step-by-step explanation:
-6+2w=30
2w=30+6
2w=36
Work out the percentage change to 2 decimal places when £78.98 is increased to £100
Answer:
Percentage change = 26.61 %
Step-by-step explanation:
Given
Initial value = £78.98Final value = £100To determin
Percentage change = ?
Using the formula
Percentage change = (Final value - Initial value) / | Initial Vaue | × 100%
= (100 - 78.98) / 78.98 × 100%
= [21.02/78.98] × 100%
= 0.266143 × 100%
= 26.6143 %
Rounding off to 2 decimal places
= 26.61 %
Therefore,
Percentage change = 26.61 %
Which is greater -2 or -2/3
Answer:
-2/3
Step-by-step explanation:
-2/3 is greater because it is closer to 0/positive than -2.
NEED ASAP !! HELP PLEASE 10 PTS
Agatha borrowed $4,500 from the bank. 4 years later, Agatha owes the bank $5,040. What was the percentage rate of simple interest in the loan?
Answer:
12%
Step-by-step explanation:
If we subtract both numbers we get 540.
[tex]\frac{540}{4500} = \frac{x}{100} \\[/tex]
540 x 100 = 54,000
54,000 / 4,500 = 12%
Michael has $1,036 78 in his checking account. He is going to spend $495.38 on a new television, and he will spend the rest on
speakers that cost $48.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael
can buy without spending more money than he has in his account?
How many tiles of 8cm^2 is needed to cover a floor of dimension 6cm by 24cm?
Answer:
18 tiles
Step-by-step explanation:
24 x 6 = 144
144/8 = 18
glad i could help
hope you have a good day
Answer:18
Step-by-step explanation:24 x 6 = 144
144/8 = 18
Subtract. Write your answer in simplest form.
6 3/4 - 2 3/20
Answer:
(6-2) (3/4-3/20)
4 ((3×20-3×4)/80)
4 48/80
4 3/5
2a+3b=5? What is that someone please help ASAP !!
Answer:
subtract 2a + 3b - 3b =5 - 3b
simply 2a = 5 -3b
divide both sides by 2 . 2a over 2 = 5 over 2 - 3b over 2
simply a= 5- 3b over 2
Pls help I’ll brainlest ASAP
Step-by-step explanation:
Given
-30 = - 0.4 k
30 = 0.4k
k = 30 / 0.4
k = 75
hope it helps :)
Answer:
Simplifying
-38 = -0.4k
Solving
-38 = -0.4k
Solving for variable 'k'.
Move all terms containing k to the left, all other terms to the right.
Add '0.4k' to each side of the equation.
-38 + 0.4k = -0.4k + 0.4k
Combine like terms: -0.4k + 0.4k = 0.0
-38 + 0.4k = 0.0
Add '38' to each side of the equation.
-38 + 38 + 0.4k = 0.0 + 38
Combine like terms: -38 + 38 = 0
0 + 0.4k = 0.0 + 38
0.4k = 0.0 + 38
Combine like terms: 0.0 + 38 = 38
0.4k = 38
Divide each side by '0.4'.
k = 95
Simplifying
k = 95
0.4.x -0.1=0.7 -0.3(6-2x)
Answer:
x=5
Step-by-step explanation:
evaluate 2 to the 6th power
Answer: 64
Step-by-step explanation:
2 x 2 x 2 x 2 x 2 x 2 =64
Answer:
64
Step-by-step explanation:
2^6=2*2*2*2*2*2=4*4*4=16*4=64
if i drive 118.3 miles and my cars miles to gallon is 26.8 how many times would i have to fill up my tank?
Answer:
4.4.
Step-by-step explanation:
I rounded my answer to 4.4. You can divide 118.3 by 26.8 to get your answer. Hope this was helpful.
A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1, 140, write and solve an equation to find the number of couples attending the spring dance.
Please help me!! I have been stuck on this question for too long.
Answer: A school reserved a banquet hall for the spring dance. In addition to a $100 deposit, each couple must pay $20. If the total cost of the banquet hall is $1,140, write and solve an equation to find the number of couples attending the spring dance. b. Solve the problem arithmetically. Show the steps you used. c. Compare and contrast the steps you used to solve the problem algebraically and arithmetically.
Step-by-step explanation:
there ya go this was hard