First divide 4687 by 13 and then multiply the answer by 0.78. The answer would be:
4687÷13= 360.5384615
360.5 × 0.78 = $281.22
Find the values of m and c if the straight line y=mx+c passes through the point (-2,5) and has a gradient of 4.
(2,5) and (4,13)
y - y1 = y2 - y1
x - x1 x2 - x1
y - 5 = 13 - 5 = 8/2 = 4 x - 2 4 - 2
y - 5 = 4x - 8
y = 4x - 3
m = 4, c = -3
You are a civil engineer working on the design of a new
green space in your city. The space will include gardens,
playgrounds, and picnic areas. One section of the park will
be in the shape of a right triangle. A diagram of the
requirements for the triangular space is shown below.
2x+2 yards
2x yards
2x+4 yards
1. Explain what you know about the space you will be designing. List at least three pieces
of information. (2 points)
a farmer has sheep and hen. the sheep and hens together have 100 heads and 356 legs how many sheep and hen are there
Answer:
22 hens and 78 sheep
Step-by-step explanation:
Let the number of hens = x
Number of sheep = y
Total heads = 100
x + y = 100 --------------------(I)
x = 100 - y
Number of legs of 'x' hen = 2*x = 2x
Number of legs of 'y' sheep = 4*y = 4y
total legs = 356
2x + 4y = 356 -----------------------(II)
Substitute x = 100 -y in equation (II)
2(100 - y) + 4y = 356
2*100 - 2*y + 4y = 356
200 - 2y + 4y = 356 {Combine like terms}
200 + 2y = 356 {Subtract 200 from both sides}
2y = 356 - 200
2y = 156 {Divide both sides by 2}
y = 156/2
y = 78
Plugin y = 78 in equation (I)
x + 78 = 100
x = 100 - 78
x = 22
22 hens and 78 sheep
simplify 10^9 divided by 10^7
Step-by-step explanation:
10^9 ÷ 10^7
10^9-7
10^2
10^2 is the correct answer
Х
Probability with permutations and combinations
file
Nia is 1 of 24 students in a class. Every month, Nia's teacher randomly selects 4 students from their class to act
as class president, vice president, secretary, and treasurer. No one student can hold two positions.
Do
In a given month, what is the probability that Nia is chosen as president?
Choose 1 answer:
BRE
TA
1
24 P4
As
A
1
MY
TATU
Co
©
23 P 3
24 P4
SAT
MY
D
(24 P.). (24 P3)
24 P4
Pro
2 of 4 .OOO
Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.
A probability is the number of desired outcomes divided by the number of total outcomes.As there are different roles, the order in which the students are chosen is important, hence, the permutation formula is used to solve this question.Permutation formula:
The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
Desired outcomes:
Nia's president.For the other roles, 3 students from a set of 23, hence:[tex]D = P_{23,3} = \frac{23!}{20!} = 10626[/tex]
Total outcomes:
4 students from a set of 24, hence:
[tex]T = P_{24,4} = \frac{24!}{20!} = 255024[/tex]
Then:
[tex]p = \frac{D}{T} = \frac{10626}{255024} = 0.0417[/tex]
0.0417 = 4.17% probability that Nia is chosen as president.
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Answer:The answer is 23 P 3/ 24 P 4
Step-by-step explanation:
5x/2 - 3x/4 = 10 1/2
how to solve this?
[tex] \frac{5x}{2} - \frac{3x}{4} = 10 \frac{1}{2} \\ [/tex]
[tex] \frac{5x}{2} - \frac{3x}{4} = \frac{21}{2} \\ [/tex]
Multiply both sides by 4
[tex]4 \times ( \frac{5x}{2} - \frac{3x}{4} ) = 4 \times \frac{21}{2} \\ [/tex]
[tex]10x - 3x = 42[/tex]
[tex]7x = 42[/tex]
Divide both sides by 7
[tex] \frac{7x}{7} = \frac{42}{7} \\ [/tex]
[tex]x = 6[/tex]
SOLVE THIS ASAP PLEASE
(5 + 4 - 2) x (-2) = ?
A. 22
b. -22
c.14
d. -14
The rocket club is 60% boys. The number of boys is 3 less than 2 times the number of girls. Hov
many girls and how many boys are in the club?
Answer:
no of girls - 300
no of boys - 450
no of girls - 6
no of boys - 9
What is algebraic expression?A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11
Given
Let boys be x and girls y
x = 2y-3
x - 2y = -3 ------(i)
x = 60/100(x+y)
10x = 6x + 6y
4x = 6y
2x = 3y
2x - 3y =0------(ii)
Subtract (ii) from (i)*2
no of girls - 6
no of boys - 9
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Please help asapppppp!!!!!
Answer:
x is 8.2 I think hold on
yeah I think
show work! giving brainly! my teacher told me this was wrong, what's the correct answer?
Answer:
it's Ahmed shoveled more
x = {(2, 4), (3, 4), (4,4), (5, 4)) Is x a function and why?
Answer:
x is a function
since it forms a horizontal line it passes the vertical line test and is a function
Elsa is selling bracelets at craft shows to raise money for an animal shelter. She is also accepting additional cash donations. She plans to give 75% of the money from all bracelet sales and donations to the shelter. She will use the remaining money to buy more supplies. Bracelet sales and donations from the first craft show are represented by the expression 24n+32 , where n represents the amount Elsa charges for each bracelet. The second craft show sales and donations is represented by the expression 40n+56 . If Elsa charges $4 for each bracelet, how much money will she donate to the animal shelter?
Answer:
22-1n-3
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
The amount donated to the animal shelter is $258
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
Percentage to donate to the shelter = 75%
The expression that shows the amount from the first and second craft shows.
24n + 32 _____(1)
40n + 56 ______(2)
Where n is the amount of each bracelet.
Now,
Cost of each bracelet = $4.
From (1) and (2) we get,
24 x 4 + 32 = 96 + 32 = 128
40 x 4 + 56 = 160 + 56 = 216
Now,
The total amount collected from both the craft shows.
= 128 + 216
= $344
The amount donated to the animal shelter.
= 75% of $344
= 75/100 x 344
= $258
Thus,
The amount donated to the animal shelter is $258
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What is the slope?
Please help me
Answer:
1/2
Step-by-step explanation:
slope is rise over run. Choose two points on the line that are whole numbers. Then put the rise (1) over run (2)
5/8 ,2/12 ,8/10 least to greatest
Answer:
2/12 5/8 8/10
Step-by-step explanation:
I hope this helps!!!
2/12 = 0.16
5/8 = 0.625
8/10 = 0.80
any one is good at math can help :(
Which algebraic expression represents this word description?
The product of nine and the difference between five and a number
Answer: 9(5-n)
Step-by-step explanation:
The product of nine and the difference between five and a number can be represented as 9(5-n)
Answer: 9(5-x)
Step-by-step explanation:
Will I see an uplift in SEO traffic from a domain migration?
It should be noted that a domain migration will temporarily lead to a loss of traffic but in the long run, the person will see an uplift in SEO traffic.
A domain migration simply means the shifting between domains without impairment.
A domain migration will result in a temporary loss of traffic. This is because it needs time for it to be processed and updated. After this is done, there will be an uplift in SEO traffic.
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Rewrite the equation y + 6 = -5(x + 3) into general form (ax + by + c = 0)
Work Shown:
y + 6 = -5(x + 3)
y + 6 = -5x - 15
y + 6 + 5x + 15 = 0
5x + y + 21 = 0
The equation is now in the form ax+by+c = 0 where a = 5, b = 1, c = 21.
Answer:
5x + y = -21
Step-by-step explanation:
y + 6 = -5x - 15
5x + y + 6 = -15
5x + y = -21
im in school rn and i dont understand this!
Answer:
[tex]33\%, ~\dfrac 3{10},~0.32,~ \dfrac 13[/tex]
Step-by-step explanation:
[tex]33\% <\dfrac 3{10}<0.32<\dfrac 13[/tex]
Taylor Swift estimates the cost of a new Tesla model S to be $85,000. The actual cost is $100,690.
What is the percent error in Taylor's estimate? Round your answer to the nearest whole percent.
Answer:
should be 15%
Step-by-step explanation:
formula is |85,000 - 100,690| ÷ 100,690 × 100
Andy would like to withdraw an annual salary of $45,000 from an account paying 3. 1% compounded annually for 25 years once she retires. Given this information, determine the amount needed in her account in order for her to reach her goal. Round to the nearest cent. A. $9,386,168. 48 b. $14,516. 13 c. $798,954. 46 d. $774,931. 58.
The amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.
Using this formula
PVA=Principal [(1-rate)^time/rate]
Let plug in the formula
PVA=45000[(1-(1+0.031)^(-25))/0.031]
PVA=45000[(1-(1.031)^-25)/0.031]
PVA=45,000(1-0.4661582427091)/0.031
PVA=45000(0.533841757290/0.031)
PVA=45000(17.22070184809)
PVA=$774,931.58
Inconclusion the amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.
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PLEASE HELP NO ONE HAS BEEN ANSWERING AT ALL!!!! I WILL GIVE BRAINLIEST! With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h
Answer:
Step-by-step explanation:
B
Answer:
B
Step-by-step explanation:
128/2=64 mph
(the rate)
2 hr= 120 min
so.. 120-24= 96
and with the wind speed is r-c and without it is r+c because your going against the wind.
Please help :)
M is the midpoint of segment AT.
Solve for X and AM
Functions f (solid) and g (dashed) are graphed.
What is the equation of g in terms of f?
A. G(x)=f(x)
B. g(x)=-f(x)
C. g(x)=f(-x)
D. g(x)=-f(-x)
15 POINTS! Will give brainliest to correct answer. I would love an explanation so I can do it on my own next time.
Answer:
Step-by-step explanation:
(A). A 90° counterclockwise rotation about the origin followed by a translation 1 unit to the left.
Mandee invested $360 in a savings account earning 1.8%
interest compounded continuously for 2.5 years.
Answer: The final balance is $412.03.
The total compound interest is $52.03.
Step-by-step explanation:
A map is drawn using a scale of 1 centimeter to 25 kilometers.
What actual distance is represented by a map length of 3.2 centimeters?
What is the solution to the equation 5x=6?
Answer:
6 / 5 ( or ) 1.2
Step-by-step explanation:
5x = 6
x = 6 / 5
( or )
x = 1.2
Answer: To find equation solutions, solve x+2=0 and x+3=0. To find equation solutions, solve x + 2 = 0 and x + 3 = 0. x2+5x+6=0 Two solutions were found : x = -2 x = -3 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+5x+6 The first term is, x2 its ...
Step-by-step explanation:
more fr33 points for u amazing people, stream scientist by twice while ur at it!!!! :))
Answer:
ye
Step-by-step explanation:
Hello!! :3
Please answer the question below.
-hello10olleh (hello)
Answer:
sequence B
Step-by-step explanation:
Answer:
IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb
HoPe ThIs HeLpS
