Answer:a)m =K n
b)m = 32
c)n=15
Step-by-step explanation:
M varies directly as n can be expressed mathematically as
m ∝ n
Introducing the constant of proportionality, K, we have that
m =K n
Now when m=14 and n=7, K becomes
14=K X 7
K=14/7 = 2
b) find m when n=16
m =K n
m = 2 x 16=32
c) find n when m=30
m =K n
30=2 x n
n=30/2 =15
Expression is formed using numbers, variables, and mathematical operations. The value of m, when the value of n is 16 is 32.
What is Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
As we know that the value of m is directly varying with n, therefore, we can write the relationship as,
[tex]m \propto n[/tex]
Now, in order to remove the proportionality, we will add a constant,
[tex]m = kn[/tex]
As the value of m and n is given as 14 and 7, substitute the values in order to get the value of the constant k,
[tex]m = kn\\14 = k(7)\\\dfrac{14}{7} = k\\k=2[/tex]
We know the value of the constant k is 2, therefore, the equation can be written as,
[tex]m=2n[/tex]
Substitute the value of n as 16, to get the value of m,
[tex]m=2n\\m=2(16)\\m=32[/tex]
Hence, the value of m, when the value of n is 16 is 32.
Learn more about Expression:
https://brainly.com/question/13947055
1. Anne and Kelly are exploring a desert. Anne leaves camp and walks for 2 miles at 125 degrees. She then turns to a direction of 40 degrees and walks straight for 3 miles. How far and in what directiort will she have to walk to get back to camp?
A spinner with 20 equal-sized sections has 5 red, 10 blue, 3 green, and 2 yellow sections. Ann pays $10 to spin the spinner. If she spins a yellow, she wins $20; if she spins green, she wins $15; otherwise, she loses.She plays the game twice. What is the expected payoff for her games?
Answer:
The expected payoff for Ann is that she loses the game
Step-by-step explanation:
The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.
X/3 + 4<6 pls help will mark branliest
Answer:
x < 6
Step-by-step explanation:
[tex]\frac{x}{3}+4 < 6[/tex]
Subtract 4 form both sides
[tex]\frac{x}{3}<6-4\\\\\frac{x}{3}<2[/tex]
Multiply both sides by 3
[tex]x < 2*3\\\\x < 6[/tex]
Answer:
X = 5.9- meaning 5.9 or anything under that or lets just say 5 because 5/3 = 1.6 + 4 = 5.6
Step-by-step explanation:
Have a nice day
sorry if its wrong
HELP PLEASE QUICKLY ASAP!
You will be rewarded with 20 points!
Please help!
Math help please asap
Answer:
a.) 0.51
b.) 1445
Step-by-step explanation:
a.) 5.1 x 10^-1 can be written as 5.1 x 0.1 which equals 0.51.
b.) 1.7 x 10^4 x 8.5 x 10^-2 can be simplified either by condensing 10^4 and 10^-2 to equal 10^2, or substituting the expression into a calculator.
This should equal 1.7 x 8.5 x 10^2 or 1445.
PLEASE HELP!!
13. Every Friday, milkshakes are on sale at The Ice Cream Shoppe with a 15% discount.
13a) The regular price of a milk shake is $4. What is the discount price?
13b) If the regular price of a shake is X dollars, what is the discount price in dollars?
13c) On your birthday, the discount price of an ice cream cake is $22. What is the regular price?
(*I really need help on this T^T*)
Answer:
13a) $3.40
13b) 0.85X
13c) $25.88
Step-by-step explanation:
13a) When there is a 15% discount, we can say that we are only paying 85% of the original price because out of 100%, 15% is taken away. 85% in decimals is 85/100 = 0.85.
$4 x 0.85 is the discounted price, which is $3.40
13b) In 13a, the price was 4. Now, the price is X. Hence we plug in (substitute) X in for 4, giving us X x 0.85, which we can write as 0.85X
13c) 85% of the cake is $22. To find 100% of the price, we can find 1% of the original price and then multiply that by 100, which gives us 100% of the price.
We know 85% of the original price. Therefore, dividng the price by 85 will give us 1% of the price. 1% = $22/85
Finally, to calculate 100%, we multiply by 100.
22/88 x 100 = 440/17 which is 25.882 in decimals, which we round to 2 decimal places (because it is currency) = $25.88
Someone please help!!!
42yd is your answer
Answer:
area of shaded region =area of (square -circle)
=l²-π(d/2)²
=14²π(14/2)²=196-49π=42.061=42yd
Nancy watches her dad fix a broken chair with a nail and a hammer, but she finds the hammering sound too loud. So, she decides to go back to her room, which is next door. On entering her room, she finds the hammering does not sound as loud. Why does the sound become faint?
Answer:
The sound of hammering becomes fainter as Nancy goes into her room because some of the sound waves are absorbed by the walls. Only part of the sound waves coming from the other room comes into her room, so the hammering sounds quieter.
I hope this helps. Good luck ^^
help me plz it’s due rn
Answer:
x= 8/12 or x = 18/12
Step-by-step explanation:
A consumer magazine rates televisions by identifying two levels of price, four levels of repair frequency, three levels of features, and three levels of picture quality. How many different ratings are possible?
Answer:
72 different ratings
Step-by-step explanation:
To find how many different ratings there are, multiply all the factors together.
2 * 4 * 3 * 3 = x
8 * 9 = x
x = 72
72 different ratings
The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, it would only have cost $ 2.00 per pizza. Now, 7 days later, the price is $ 3.78 per pizza. How much money could they have saved if they bought the pizza last week?
Answer:
$356
Step-by-step explanation:
To solve this problem, use this: (200 * 3.78) - (200 * 2)
(200 * 3.78) - (200 * 2)
200 * 3.78 is the same as 2 * 378, which is 756.
756 - (200 * 2)
200 * 2 is the same as 4 * 100, which is 400.
756 - 400
Subtract 400 from 756 to get 356.
356
If they brought the pizza last week, the school could have saved $356.
9. Simplify the expression: 8(5x-3y) *
Answer:
40x- 24y
Step-by-step explanation:
7 + 3 (2x - 5) = 3x + 7
Answer:
x = 5
Step-by-step explanation:
Given
7 + 3(2x - 5) = 3x + 7 ← distribute parenthesis and simplify left side
7 + 6x - 15 = 3x + 7
6x - 8 = 3x + 7 ( subtract 3x from both sides )
3x - 8 = 7 ( add 8 to both sides )
3x = 15 ( divide both sides by 3 )
x = 5
Find the volume of the rectangular pyramid please help me guys
Answer:
160 ft^3
Step-by-step explanation:
The volume formula is the same as a rectangular prism, lwh
So if we plug in the numbers, it'd be 12*4*10
Which equals 160 :))
Answer:
160
Step-by-step explanation:
v = L * W * H / 3
Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks
9514 1404 393
Answer:
a) k = -19
b) P(x) = (5x +1)(3x -1)(2x -1)
c) x = {-1/5, 1/3, 1/2}
d) see attached
e) no; P(-1) = -48
f) see attached
Step-by-step explanation:
a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:
1 + (10 +k)/9 = 0
(10 +k)/9 = -1 . . . . . subtract 1
10 +k = -9 . . . . . . . .multiply by 9
k = -19 . . . . . . . . . . subtract 10
For (3x -1) to be a factor, the value of k is -19.
__
b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...
P(x) = (5x +1)(3x -1)(2x -1)
The linear factors can also be obtained by finishing the factoring of ...
P(x) = (3x -1)(10x^2 -3x -1)
The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).
So P(x) = (3x -1)(5x +1)(2x -1).
__
c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.
__
d) See the attachment for a graph
__
e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).
__
f) See the attachment.
which expression is equivalent to...........
Answer:
6.5y-11
Step-by-step explanation:
i think that's the answer. if I'm wrong tell me right away good day
Another way to write 300 + 70 + 5/10 + 8/100
Pick one:
A) 370.58
B) 370.058
C) 30, 070. 508
D) 30,070. 58
No! links or guessing or lm will report you! :)
Answer:
A. 370.58
Step-by-step explanation:
Hope that helps
The altitude on a ski trail drops 2 feet for
every 5 feet of horizontal distance traveled,
The end of the trail has an altitude of
4,000 feet and is a horizontal distance of
2000 feet from the start,
a. Write an equation in point-slope form
that represents this situation, and
graph the equation.
Answer:
rrrrrehwhwjwmkwwuwiwiiwiwiwiw
Mr. Yasin paid a total of 9.43 to buy three boxes of cereal. If he paid 3.99 for the 1st box and 2.97 for the 2nd box how much did Mr. Yasin pay for third box of cereal?
$4.72, 2.47, 6.96, or 3.54
Answer:
$2.47
Step-by-step explanation:
Pretend if Mr. Yasin didn't pay for the 3rd box, find out how much he had left after paying for the first 2 boxes.
9.43 - 3.99 - 2.97 = 2.47
Nissan Appliances bought three dozen camcorders at a total cost of $5,040. The markup on the camcorders is 30% of the selling
price. What was the original selling price of each camcorder?
Selling price- HELP DUE IN 10 MINUTES 25 POINTS
Answer:
(3*12) 36 Camcorders= $5040
1 Camcorder= $5040/36 = $140
Original= $140/1.03= $135.92
Giving brainliest for the correct answer
Answer:
72 is the surface area
SA=2lw+2lh+2hw
l=6
w=3
h=2
Is (2,21) a solution for y=7x? No Yes
Answer:
No
Step-by-step explanation:
y=7x
21=7(2)
21=14
It is not since the values are not equal.
Brainliest? :o
No, the pair of coordinates (2,21) is not a solution for the equation; y=7x
Solution of an equationAccording to the question;
The pair of coordinates given is (2,21).Hence, by testing the coordinates in the equation; y=7x, we have;
21 = 7(2)21 = 14.Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.
Read more on solution of an equation;
https://brainly.com/question/1397278
The diameter of a planet is about 10790 mi. The diameter of the planet's moon is about 33% of the diameter of the planet. What percent of the volume of the planet is the volume of its moon?
Answer:
3560.7
Step-by-step explanation:
What is the equation of the line that passes through the point (6,6) and has a slope of 5/3??
Answer:
y = 5/3x - 4
Step-by-step explanation:
(6, 6)
m = 5/3
Slope-intercept:
y - y1 = m(x - x1)
y - 6 = 5/3(x - 6)
y - 6 = 5/3x - 10
y = 5/3x - 10 + 6
y = 5/3x - 4
PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT (you can use a calculator if you want)
Answer:
1. B.
2. A, E.
3. D.
Step-by-step explanation:
1. 8.225 ÷ 5 = 1.645
2. 892 ÷ 8 = 111.5
8920 ÷ 80 = 111.5
894 ÷ 10 = 89.4
89.2 ÷ 0.08 = 1115
8.92 ÷ 0.8 = 11.15
0.892 ÷ 0.008 = 111.5
3. 4367 ÷ 0.004 = 1,091,750
A radius of 1 meter. What’s the area. Use 3.14 for pi
Answer:
A is 3.14
Step-by-step explanation:
. good day.hope it helps
Answer:
Step-by-step explanation:
circumference = 2 * pi * radius
Plug in 4 meters for radius and 3.14 for pi .
circumference ≈ 2 * 3.14 * 4 m
Multiply these together.
circumference ≈ 25.1 m
area = pi * radius2
Plug in 4 meters for radius and 3.14 for pi .
area ≈ 3.14 * (4m)2
Square the 4m .
area ≈ 3.14 * 16m2
Multiply.
area ≈ 50.2 m2
Can someone help me with these true or false questions thank you
consider the function f(x)=4x^2+8x-10 and g(x)=5x^2+10x-1
1 function f is a graph whose vertex is_____ the vertex for the graph of function g
a) higher than
b)lower than
c)located at the same axis of symmetry as
2 the vertex for the graph function f is_____ the vertex for the graph of function g
a) 2 units to the right of
b) 2 units to the left of
c) located at the same axis of symmetry as
Someone please help me, write a variable equation to represent the situation, and solve it by using inverse operations.
Three times the difference between a number and six is eighteen.
PLEADE HELP I WILL MARK YOU AS BRAINEIST
Answer:
83
Step-by-step explanation:
a = 25
The biggest angle is (3a+8) = 83
Answer:
83
Step-by-step explanation:
(3a+8)+(60-a)+(4a-38)=180
combine like terms, 6a+30=180
inverse operation to isolate the variable, 6a=150
divide six on both sides, a=25
replace a in every expression, 3(25)+8=83
60-25=35
4(25)-38=62
83 is biggest out of the three, therefore 83 is the answer.