Answer: Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.
Step-by-step explanation:
Length of Trail A = [tex]6\dfrac34[/tex] miles
= [tex]\dfrac{24+3}{4}[/tex] miles = [tex]\dfrac{27}{4}[/tex] miles.
Length of Trail B = [tex]8\dfrac12[/tex] miles
= [tex]\dfrac{16+1}{2}[/tex] miles = [tex]\dfrac{17}{2}[/tex] miles.
Trial B is longer then Trail A by [tex]\dfrac{17}{2}-\dfrac{27}{4}[/tex] miles
[tex]=\dfrac{17\times2}{2\times2}-\dfrac{27}{4}[/tex] miles
[tex]=\dfrac{34}{4}-\dfrac{27}{4}[/tex] miles
[tex]=\dfrac{7}{4}[/tex] miles
[tex]=1\dfrac{3}{4}[/tex] miles
Hence, Trial B is [tex]1\dfrac{3}{4}[/tex] miles longer then Trail A.
Francisco is saving money in an account. At the beginning of the year, he has $56 in savings
and puts in another s4 per week. Which of the following equations models the amount of
savings, s, as a function of the number of weeks, w, Francisco has been saving?
The correct equation for this given condition is;
⇒ s = $56 + $4w
Where, 's' is amount of savings and 'w' is number of weeks.
What is linear expression?
A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
Given that;
Francisco is saving money in an account.
The savings amount = $56
And, Put in another $4 per week.
Now,
Let number of weeks = w
And. Total amount in saving amount = s
So, We can formulate;
⇒ s = $56 + $4w
Thus, The correct equation for this given condition is;
⇒ s = $56 + $4w
Where, 's' is amount of savings and 'w' is number of weeks.
Learn more about the linear expression visit:
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Solve 4x- c= k for x.
A. x = 4(k+ c)
B. x = k +c / 4
C. x = k-c/4
D. x = 4(k - c)
Answer:
The answer would be x= C+K/ 4
Select all of the following that are quadratic equations.
1. x2 + 3 x -5 = 0
2. x2 - x = 3 x + 7
3. 5 x - 7 = 0
4. 7 x2 + 14 x = 0
5. x3 - 3 x2 + 1 = 0
6. x - 5 = 9 x + 7
Answer:
1. x² + 3x - 5 = 0
2. x² - x = 3 x + 7
4. 7x² + 14x = 0
Step-by-step explanation:
A Quadratic equation takes the form;
ax² + bx + c = 0
a, b, c are constants and a cannot be 0.
Options 1 fits this;
x² + 3x - 5 = 0
Option 2 fits this as well;
x² - x = 3 x + 7
x² -x - 3x - 7 = 0
x² - 4x - 7 = 0
Option 4 fits this as well if c = 0.
7x² + 14x + 0 = 0
Jack bought 3 pairs of socks for $7.50. At this rate, how much would 10 pairs of socks cost?
Answer:
25$
Step-by-step explanation:
7.50$ divided by 3 is 2.50$. then 2.50$ times 10 is 25$
Answer:
75$
Step-by-step explanation:
because you multiply 7 x 10 and that equals 70$ and then multiply .50 x 10 and that equals 5$ so 70$ plus 5$ equals 75$
Company sells drinks in packs and cases a bottle is 1/6 of pack and the pack is 1/12 of a case a case of the drink called 25.92 what is the price per bottle in a case
Answer:
0.36
Step-by-step explanation:
Company sells drinks in packs and cases a bottle is 1/6 of pack and the pack is 1/12 of a case a case of the drink called 25.92 what is the price per bottle in a case
From the above question:
1 pack = 1/12 of a case.
1/12 of a case = 1 pack
1 case = x packs
Cross Multiply
1/12 × x = 1 × 1
x = 1 / 1/12
x = 1 × 12/1
x = 12 packs
This means, 1 case of drinks contains 12 packs of drinks
We are also told that: a case of the drink cost 25.92
This means the cost of 12 packs of drinks = 25.92
We are also told that:
a bottle is 1/6 of pack
1/6 pack = 1 bottle
1 pack = x bottles
Cross Multiply
1/6 × x = 1 × 1
x = 1 / 1/6
x = 1 × 6/1
x =6 bottles
This means, 1 pack of drinks contains 6 bottles of drinks
Hence:
12 packs of drinks = 25.92
1 pack of drinks = x
Cross Multiply
12x = 25.92
x = 25.92/12
x = 2.16
1 pack of drinks cost 2.16= 6 bottles of drinks cost 2.16
Therefore:
6 bottles of drinks = 2.16
1 bottle of drink = x
Cross Multiply
6x = 1 × 2.16
x = 2.16/6
x = 0.36
Therefore, the price per bottle in a case is 0.36
You have 20 minutes to finish 10 math problems for homework. Write and solve an inequality that represents how many minutes you can spend the problem.
a.) 10x ≥ 20, x ≥ 2
b.) 20x ≥ 10, x ≥ 1/2
c.) 20x ≤ 10, x ≤ 1/2
d.) 10x ≤ 20, x ≤ 2
i need help findind m angle 12 =?
m angle 9 = 80° and m angle 5= 68°
Answer:
I think the answer is 12 = 100
Step-by-step explanation:
since 9 = 80 and that is the same for 11, if you do 180 - 80 = 100 which would be the answer for 10 and 12. Thus 12 = 100 based on the info given.
Hope this helps :)
Which expression represents a positive number? A. -9.8 x (-23.5) B. 9.8 x (-23.5) C. 23.5 x (-9.8) D. -23.5 x 9.8
Answer: Option A
Step-by-step explanation: if we multiply two negative numbers we get a positive result, pls give brainliest
Answer:
A represents a positive number
Step-by-step explanation:
(−9.8) x (-23.5) = 230.3x
A company charges a shipping fee that is 4% of the purchase price for all items
it ships. What is the fee to ship an item that costs $66?
Simplify : - sqrt(- 75) A. - 5i * sqrt(2) B. - 5i * sqrt(3) C. - 5i D. 5i
Answer:
B
Step-by-step explanation:
Here, we want to calculate the square root of -√- (75)
That will be
-√(25)(-3)
= -5 √(-3)
√(-3) is same as 3i
So we have the root as;
-5i√3
EASY PLS HELP i know it’s not C so pls tell me if it’s A B or D
198.447 rounded to the nearest whole number.
Answer:
25
Step-by-step explanation:
Brainliest me pls
Have a nice day! <3
Determine whether the solution of each equation below is the same as the solution
of 3m - 36 - 6m.
Choose Yes or No for each equation.
-3m+ 2 = -1
Yes No
b.-21-4m - 6,4) = 44.8
Yes No
C.
8m - 5 - 2m +1 - 20
Yes No
d. 7m + 6 = 9m - 2
Yes No
Answer: yes
Step-by-step explanation:
Answer:
yes,no,no,yes
Step-by-step explanation:
If a polynomial 2x( raised to power 3) -9x +15x +p, when divided by (x-2), leaves -p as remainder, then p is equal
Answer:
p is -5
Step-by-step explanation:
If a polynomial 2x³-9x² +15x +p is divided by (x-2), then the remainder is gotten by equating the divisor x - 2 to zero
If x - 2 = 0
Add 2 to both sides
x - 2 + 2 = 0 + 2
x = 2
Substitute x = 2 into the expression to get the remainder:
If p(x) = 2x³-9x² +15x +p
p(2)= 2(2)³-9(2)² +15(2) +p
p(2) = 2(8) - 9(4) + 30 + p
p(2) = 16-36+30+p
p(2) = -20 + 30 + p
p(2) = 10+p
Since the remainder given in question is - p, to get p, we will equate p(2) to -p as shown
p(2) = -p
10+p = -p
10 = -p-p
10 = -2p
p = 10/-2
p = -5
Hence the value of p is -5
Does anybody know the average individual score for a Mathcounts competition?
Answer:
4.0 hope this helps!!6
Three items were bought at a car boot sale.
Item A
Mass = 42 grams
Volume = 2 cm
Item B
Mass = 87.5 grams
Volume 5 cm3
Item C
Mass = 147 grams
Volume = 7 cm3
=
The density of platinum is approximately 21 grams per cmº.
Which of the items cannot be platinum?
You must show your working.
Answer: Multiply the density with the volume. You get 2418.2 grams or 2.4182 kilograms
Step-by-step explanation:
Answer:
Item B
Step-by-step explanation:
A:
density = mas/volume = 42 g / 2 cm^3 = 21 g/cm^3
This may be platinum.
B.
density = mass/volume = 87.5 g / 5 cm^3 = 17.5 g/cm^3
This cannot be pure platinum.
C.
density = mass/volume = 147 g / 7 cm^3 = 21 g/cm^3
This may be platinum.
Answer: Item B
3^4/3^2 xczczcxcxcxcxcxcxc
Answer:
oop xc
Step-by-step explanation:
You can simplify fractions between powers of the same base as follows:
[tex]\dfrac{a^x}{a^y}=a^{x-y}[/tex]
So, in your case, you have
[tex]\dfrac{3^4}{3^2}=3^{4-2}=3^2=9[/tex]
help 6th grade math i will give brainliest
Answer:
1. = (all numbers powered by zeros are 1)
2. > (the smaller the number gets when a number powers a fraction)
3. > (-5)^2 will equal 25 but -5^2 will equal =25
Answer:
1. =
2. >
3. <
Step-by-step explanation:
2.5^0 = 1
1.5^0 = 1
(1/3)^4 = 0.0123
(1/3)^5 = 0.0041
5^1 = 5
-5^2 = 25
hope this helps. i am in algebra two so you can trust my answer. Happy Holidays! stay safe
a coin jar holds dimes and quarters.A coin jar holds dimes and quarters. There are ten less quarters than dimes. There is a total of $3.80. How many dimes are in the jar
Answer:
There are 18 dimes in the jar
Step-by-step explanation:
Let
x = number of dimes in the jar
y = number of quarters in the jar
Total = $3.80
There are ten less quarters than dimes
y = x - 10
0.1x + 0.25y = 3.80
0.1x + 0.25(x - 10) = 3.80
0.1x + 0.25x - 2.5 = 3.80
0.35x = 3.80 + 2.5
0.35x = 6.30
x = 6.30/0.35
x = 18
pls help meh with this <3
Answer:
For the first one, 29,000 s, 29,500 s, and 29,999 s.
For the second one, no because the bookcase is taller than the doorway.
Oof hope I'm correct and was able to help <3
Somebody help plz I’m so bad at geometry sad face
Answer:
square is the answer for this question
On the first day, 8 adult tickets were sold and 13 student tickets were sold for a total of $75. On day two, 10 adult tickets were sold and 9 student tickets were sold for a total of $72. What is the cost of an adult ticket? What is the cost of a student ticket?
Answer:
Adult ticket = $4,5
Student ticket = $3
.
Step-by-step explanation:
Let say adult ticket is x and student ticket is y. so we get:
→ 8x + 13y = 75 (×5) 40x + 65y = 375
→ 10x + 9y = 72 (×4) 40x + 36y = 288
.
Eliminate both equations
40x + 65y = 375
40x + 36y = 288
29y = 87
[tex]y = \frac{87}{29}[/tex]
[tex]y = 3[/tex]
.
Substitute the value of y to one of equations
[tex]10x + 9(3) = 72[/tex]
[tex]10x + 27 = 72[/tex]
[tex]10x = 72 - 27[/tex]
[tex]10x = 45[/tex]
[tex]x = \frac{45}{10}[/tex]
[tex]x = 4,5[/tex]
.
Happy to help :)
Answer:
iwiwjjwjwjwjbba abaha ajajaj ajaj
Step-by-step explanation:
wjis sisi sjaijs aibaia aihwoh ha ajj w
what is the percent change of 44000 to 40000
Answer:
10 percent
Step-by-step explanation:
40000 is the old value and 44000 is the new value. In this case we have a positive change (increase) of 10 percent because the new value is greater than the old value.
4. Isabelle takes the bus to work. The bus ride to work costs her $2.50 each time. She could buy a bus pass for a one-time fee of $15.00 and would then only pay $1.00 each time to ride the bus. How many times would she have to take the bus for the cost to be the same?
Answer:
6 times.
Exclamation:
You can do 15 divided by 2,50 to get you answer, when you do that you get 6.
(The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!
- •Trix•
( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
Solve for the variable x.
4(x - 11) = -210
Answer: Divide both sides by the numeric factor on the left side, then solve.
Exact Form: x= −83/2
Answer: x = -41.5
Step-by-step explanation:
Distribute the 4 that is outside of the parentheses.
4 times x = 4x
4 times -11 = -44
Then to isolate the variable add 44 to both sides of the equation to cancel out -44.
-44 + 44 = 0
-210 + 44 = -166
Now your equation should 4x = -166
To find x, divide both sides of the equation by 4.
4x divded by 4 is x.
-166 divded by 4 is -41.5.
So the answer is x = -41.5.
To check the answer, plug in -41.5 to the x.
4(-41.5 - 11) = -210
45n=25
Simplify your answer as much as possible.
Answer:
5/9
Step-by-step explanation:
Solve for x
If you don’t know how to do it don’t answer.
Answer:
127Step-by-step explanation:
Exterior angle measure is equal to the sum of non-adjacent interior angles
21..................................................
12x + 2 = 9x + 11 + 2712x - 9x = 38 - 23x = 36x = 1222..................................................
13x + 1 = 4x + 6 + 5813x - 4x = 64 - 19x = 63x = 7Use the algebraic expressions for the length and width of Marlene's living room found in the
23.
diagram and the value of x found in Question 21C.
A. Find the actual length and width of her living room.
B
Find the actual area of Marlene's living room. Use actual dimensions.
Answer:
The area of Marlien's living room is 420 square ft
Step-by-step explanation:
Before calculating the real dimensions of Marlien's living room, we must find the value of x.
Given the total shape of the house is a rectangle, then both widths must be equal and both lengths must be equal.
The widths are already written width identical expressions x-2+x, but the lengths are given as different functions of x. Equating both expressions, we have:
[tex]2x-10+x-2+\frac{1}{2}x-4+x-2=2x+2+\frac{1}{2}x-4+x-2[/tex]
Simplifying:
-10 + x - 2 = 2
x = 10 + 2 + 2
x = 14
Since x=14 feet, the dimensions of Marlien's living room are
width=x=14 feet
length=2x+2=30 feet
Thus the area is:
A = 14*30 = 420 square ft
The area of Marlien's living room is 420 square ft
There are 40 students in a class and 36 of these students passed their Chemistry test.
What percentage of these students passed their test?
Answer:
90%
Step-by-step explanation:
To calculate a percentage, divide the smaller number into the larger one. 36 ÷ 40 = 0.9, which is equal to 90%.
Answer:
60% passed the test
f(n) = n^3– 2n
g(n)= 2n + 2
Find (f •g)(n)
Answer:
[tex]\boxed{(f~.~g)(x) = 2n^4 + 2n^3 - 4n^2 -4n}[/tex]
.
Step-by-step explanation:
We know that
[tex]f(n) = n^3 - 2n[/tex]
[tex]g(n) = 2n + 2[/tex]
.
So
[tex](f~.~g)(x) = f(n)~.~g(n)[/tex]
[tex](f~.~g)(x) = (n^3-2n)(2n + 2)[/tex]
[tex](f~.~g)(x) = n^3(2n + 2) - 2n(2n + 2)[/tex]
[tex](f~.~g)(x) = 2n^4 + 2n^3 - 4n^2 -4n[/tex]
Answer:
2jj2j wnqj qkwk abaia aow w wka a9w wjw a8uaaia sks sis s8siwobsisi shkahza a
Step-by-step explanation:
bs ak la ya s dyua youa au ab fusn aigska