Answer:
50 kg sacks of rice for $59.00.
Step-by-step explanation:
Lets do the math. First, I want to see how much 50 kg of of the first option costs.
$15.45 is worth 10kg.
$15.45*3=$46.35
Since the fourth on is free, the sum will stay the same.
$46.35+$15.45=$61.80.
50 kg of the first option is worth $61.80.
50 kg of the second option is worth $59.00.
$61.80 > $59.00.
So, the second option is cheaper and the better deal.
Jamie needs to build a fence around his garden , as illustrated by polygon ABCDEF on the coordinate grid below.If each unit represents one yard, what is the total length of Jamie’s fence in yards ?
A.20 yards
B.23 yards
C.26 yards
D.45 yards
Answer:
C. 26 yards
Step-by-step explanation:
Total length of Jamie's fence = sum of all distances from one vertex of the polygon to another = AB + BC + CD + DE + EF + FA
Use the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between vertexes.
Distance between A(-5, 5) and B(0, 5)
Let,
[tex] A(-5, 5) = (x_1, y_1) [/tex]
[tex] B(0, 5) = (x_2, y_2) [/tex]
[tex] AB = \sqrt{(0 -(-5))^2 + (5 - 5)^2} [/tex]
[tex] AB = \sqrt{(5)^2 + (0)^2} [/tex]
[tex] AB = \sqrt{25 + 0} = \sqrt{25} [/tex]
[tex] AB = 5 [/tex]
Distance between B(0, 5) and C(4, 2)
Let,
[tex] B(0, 5) = (x_1, y_1) [/tex]
[tex] C(4, 2) = (x_2, y_2) [/tex]
[tex] BC = \sqrt{(4 - 0)^2 + (2 - 5)^2} [/tex]
[tex] BC = \sqrt{(4)^2 + (-3)^2} [/tex]
[tex] BC = \sqrt{16 + 9} = \sqrt{25} [/tex]
[tex] BC = 5 [/tex]
Distance between C(4, 2) and D(1, -2)
Let,
[tex] C(4, 2) = (x_1, y_1) [/tex]
[tex] D(1, -2) = (x_2, y_2) [/tex]
[tex] CD = \sqrt{(1 - 4)^2 + (-2 - 2)^2} [/tex]
[tex] CD = \sqrt{(-3)^2 + (-4)^2} [/tex]
[tex] CD = \sqrt{9 + 16} = \sqrt{25} [/tex]
[tex] CD = 5 [/tex]
Distance between D(1, -2) and E(-2, -2)
Let,
[tex] D(1, -2) = (x_1, y_1) [/tex]
[tex] E(-2, -2) = (x_2, y_2) [/tex]
[tex] DE = \sqrt{(-2 - 1)^2 + (-2 -(-2))^2} [/tex]
[tex] DE = \sqrt{(-3)^2 + (0)^2} [/tex]
[tex] DE = \sqrt{9 + 0} = \sqrt{9} [/tex]
[tex] DE = 3 [/tex]
Distance between E(-2, -2) and F(-5, 2)
Let,
[tex] E(-2, -2) = (x_1, y_1) [/tex]
[tex] F(-5, 2) = (x_2, y_2) [/tex]
[tex] EF = \sqrt{(-5 -(-2))^2 + (2 -(-2))^2} [/tex]
[tex] EF = \sqrt{(-3)^2 + (4)^2} [/tex]
[tex] EF = \sqrt{9 + 16} = \sqrt{25} [/tex]
[tex] EF = 5 [/tex]
Distance between A(-5, 5) and F(-5, 2)
Let,
[tex] A(-5, 5) = (x_1, y_1) [/tex]
[tex] F(-5, 2) = (x_2, y_2) [/tex]
[tex] FA = \sqrt{(-5 -(-5))^2 + (2 - 5)^2} [/tex]
[tex] FA = \sqrt{(0)^2 + (-3)^2} [/tex]
[tex] FA = \sqrt{0 + 9} = \sqrt{9} [/tex]
[tex] FA = 3 [/tex]
Total length of Jamie's fence in yards = 5 + 5 + 5 + 5 + 3 + 5 + 3 = 26 yards
If the camp counselor wants to make sure no more than 1 teenager in each tent is afraid of spiders, does it seem reasonable for him to randomly assign teenagers to tents? (Round your answer to two decimal places.) If the group of 11 teenagers in the tent is a random sample, then there is a % chance that 2 or more teenagers will be afraid of spiders in any particular tent. This probability is somewhat large Correct: Your answer is correct. , so the camp counselor should not Correct: Your answer is correct. randomly assign teenagers to their tents.
Answer:
YES, there are 88% chances that no more than one of them is afraid of spider.
If there is group of 11 teenager in tent, then there is chance that 2 0r more teenager will be afraid of spider.
Step-by-step explanation:
Let A11 be the number of teenager. We want no more than one teenager in each tent is afraid of spider
P (C11≤1) = P (C11=0) + P (C11=1)
= (11C0) 0.070. (1- 0.07)10 + (11C1). 0.071. (1- 0.07)10-1
= 0.88
= 88 %
Yes, it seems reasonable for him to randomly assign teenagers to tents.
There are 88% chances that no more than one of them is afraid of a spider, remaining are in his favor, and he can randomly assign.
If there is a group of 11 teenagers intent, then there is a chance that two 0r more teenagers will be afraid of a spider.
Probability = P (C11≤2)
= P(C11 = 2) + P (C11=3) + P(C11 =4) + ……
(Probability is somewhat large)
This question here ?!
Answer:
The answer is 3.19, someone irrationally deleted my answer previously.
Step-by-step explanation:
Simply substract 2.95 from 18.90 and you will get 15.95
Divide this by 5 to get the price of each and you will get $3.19 which is the correct answer.
Please help me with this math problem
Answer:
A
Step-by-step explanation:
because it's negative 4, you move the decimal 4 times to the left
solve the equation. -7x=x+24
Answer:
x=-3
Step-by-step explanation:
-7x=x+24
subtract x from both sides
you get
-8x=24
x=-3
The mean finish time for a yearly amateur auto race was 187.24 minutes with a standard deviation of 0.346 the winning car was driven by Thomas
the cost of a mobile is set Rs.18000.If mrs.Sharma purchased it with 13% VAT. how much did she pay for it.
Answer:
Rs.20340
Step-by-step explanation:
Cost of the mobile(without VAT) = Rs. 18000
VAT= 13%*18000
=13/100*18000
=13*180
= Rs.2340
Hence, Cost of the mobile phone with VAT= Rs.18000+ Rs. 2340
= Rs.20340
Linda got 11/16 in her math test. Write her grade in percent.
Answer:
69%
Step-by-step explanation:
Hey there!☺
[tex]Answer:\boxed{68.75}[/tex]
[tex]Explanation:[/tex]
Let's start the percentage from 1/16.
[tex]1/16\rightarrow6.25\\2/16\rightarrow12.5\\3/16\rightarrow18.75\\4/16\rightarrow25\\5/16\rightarrow31.25\\6/16\rightarrow37.5\\7/16\rightarrow43.75\\8/16\rightarrow50\\9/16\rightarrow56.25\\10/16\rightarrow62.5\\11/16\rightarrow68.75[/tex]
The rule is to multiply each by 6.25. That means that you have to multiply 6.25 by 11 to get its percentage.
[tex]6.25*11=68.75[/tex]
68.75 is your answer.
Hope this helps!☺
[tex]\text{-TestedHyperr}[/tex]
equation of the line (-6,5) and (8,14) in standard form
Answer:
[tex]\huge\boxed{9x-14y=-70}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points (-6, 5) and (8, 14).
Substitute:
[tex]m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)[/tex]
Thew standard form of an equation of a line:
[tex]Ax+By=C[/tex]
transform:
[tex]y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70[/tex]
A triangle has dimensions represented by the expressions shown.
Which expression represents the perimeter of the triangle?
9y + 3
9y + 7
6y – 2
5y + 5
Answer:
Step-by-step explanation:
9y+3
Answer:
The answer is a
Step-by-step explanation:
Help I need help I’m horrible at math! Thanks
Answer:
with what I am to lol
Step-by-step explanation:
Answer:
The translation is basically a slide
i remember that by sl in translation are the first two letters in slide
so other than that i just think you have to say the coordinates of the new triangle after the slide
have a good day hope i helped
Please help meee
• Which graph shows different numbers of tickets that Elena can sell to raise more than $180?
Answer:
2nd graph
Step-by-step explanation:
A total of 450 tickets were sold for the school play they were either adult tickets or student tickets or student tickets the number of student tickets sold was two times the number of adult tickets sold how many adult tickets were sold
Answer:
150
Step-by-step explanation:
If x is the number of adult tickets sold then an equation for this could be
x+2x=450
which could simplify to
3x=450
you would divide both sides of the equation by 3 to get
x=150
Which of the lines below has a slope of zero?
Answer:
b
Step-by-step explanation:
Answer:
Line B.
hope this help
1) -20= -4 - 6x
Ok so how will I be able to prove what this answer equals up too?
Answer:
[tex]x=\dfrac{8}{3}[/tex]
Step-by-step explanation:
The given equation is :
-20= -4 - 6x
We need to find the value of x. It can be done by collecting like terms togther as follows :
-20+4=-6x
⇒-16=6x
[tex]x=\dfrac{8}{3}[/tex]
So, the solution of the given equation is 8/3.
Number 5 please I beg.
Answer:
X = 25
Step-by-step explanation:
The value of 25+144 is 13. O True O False
I did it on my calculater and the answer came as 13
hope that helps :)
Answer:
ANSWER IS TRUE
Step-by-step explanation:
25+144 IS 169
Jalen has $10.35 in quarters and nickels he has a total of 99 coins how many of each coins does he have?
Answers:
72 nickels and 27 quarters
========================================
Work Shown:
$10.35 = 1035 cents
q = number of quarters
n = number of nickels
n+q = 99 is the total number of coins. This solves to q = -n+99
25q = value of all the quarters in cents
5n = value of all the nickels in cents
5n+25q = 1035 is the total value in cents
------------------
5n+25q = 1035
5n+25( q ) = 1035
5n+25( -n+99 ) = 1035
5n - 25n + 2475 = 1035
-20n + 2475 = 1035
-20n = 1035-2475
-20n = -1440
n = -1440/(-20)
n = 72
Jalen has 72 nickels
q = -n+99
q = -72+99
q = 27
Jalen has 27 quarters
----------------------
Check:
n+q = 72+27 = 99
5n+25q = 5*72+25*27 = 1035
This confirms the answers.
Find a polynomial f(x) of degree 3 that has the following zeros.
0, 9, -4
Leave your answer in factored form.
Answer:
[tex]f(x) = x(x - 9)(x + 4)[/tex]
subtract 7 9/16 - 4 2/4
Q= Why did Baldwin and McMurdo dislike each other?
Baldwin and McMurdo disliked each other since their very first meeting. They both like Ettie, and, that's where the rivalry begins. He knows that Ettie likes McMurdo more and will obviously choose McMurdo over him. It's pretty clear that Teddy Baldwin is jealous of McMurdo. Baldwin was also very furious when he heard that body master McGinty chose McMurdo over him, who had been loyal to the lodge for years.
I'd add more things, but, honestly, that's all- since I don't like to overexaggerate things. Hope it helps you, all the best!
Arlo invested $4000 in an account that earns 5.5% interest, compounded
annually. The formula for compound interest is A(t) = P(1 +I)t?
How much did Arlo have in the account after 4 years?
A. $4955.30
B. $4660.00
C. $16,880.00
D. $23,088.03
ws
2. The sum of 2 consecutive odd integers is - 8. What are the integers? Separate your integers by a
comma. *
Pls help
I need an explanation of this question: the chicago cubs have won more than 100 games
write the inequality
Answer:
x > 100
Step-by-step explanation:
Consider x as "Chicago Cubs".
The alligator sign always points/goes to the number (or food) with the highest value (or bigger meal).
Since Chicago Cubs wins is bigger than 100, you can write the inequality as follows:
x > 100
x and y interpects of f(x)=x^2-49
$24 in 2hours find the unit rate?
Answer:
12 dollars an hour
Step-by-step explanation:
1/3ab^2 Solve for a
Answer:
a = 18/b²
Step-by-step explanation:
Step 1: Write equation
1/3ab² = 6
Step 2: Solve for a
Multiply both sides by 3: ab² = 18Divide both sides by b²: a = 18/b²Is there a rigid transformation taking Rhombus P to Rhombus Q? Explain how you know.
Answer:
There's no rigid transformation
Step-by-step explanation:
The attachment is blank; See attachment for clear picture of rhombus
Required
State if there's a rigid transformation between P and Q
The term rigid transformation implies that there's no change in any two or more given shapes as long as the size is being considered.
Looking at both rhombus, you observe that rhombus P and Q have different dimensions.
So, we can conclude that there's no rigid transformation from rhombus P to Q .
The balance on your business credit card was $215 before you purchased 5 new chairs for the office. Each chair cost $75.
What is the new balance on the credit card?
$160
$290
$375
$590
$700
Answer:
$590
Step-by-step explanation:
The credit card balance on the card is : $215.
You put on his charge 5 chairs that each cost $75.
So 75 * 5 = 375.
You have now added to your credit card balance of $375 and before you bought the chairs, it was $215. You must add these totals to get your new balance after purchasing 5 new chairs for the office.
375 + 215 = 590.
Write an equation in slope intercept form for a line that passes through the point (1,6) and a slope of 2
Answer:
The answer is
y = 2x + 4Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1) \\ [/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (1,6) and slope 2
The equation of the line is
[tex]y - 6 = 2(x - 1) \\ y - 6 = 2x - 2 \\ y = 2x - 2 + 6[/tex]
We have the final answer as
y = 2x + 4Hope this helps you
