Answer:
9 months
Step-by-step explanation:
8m + 3 = 75
-3 -3
8m = 72
/8 /8
m = 9
In 9 months the tree will be 75 inches tall
At a birthday party for 20 people each person could order a hot dog or chips. If there were four times as many hot dogs as chips ordered, calculate how many hot dogs and how many chips were bought.
Call the amount of chips ordered : x
-> The amount of hot dogs ordered : 4x
Since there are a total of 20 chips and hot dogs orders, x + 4x = 20 -> 5x = 20
-> x = 20/5 = 4
-> 4x = 4 x 4 = 16
So, there are 16 hot dogs and 4 chips ordered.
Answer:
16 hot dogs
4 chips
Step-by-step explanation:
Let h = number of hot dogs ordered
Let c = number of chips ordered
Given:
Total number of orders = 20Four times as many hot dogs as chips ordered⇒ h + c = 20
⇒ h = 4c
Substitute h = 4c into h + c = 20 and solve for c:
⇒ 4c + c = 20
⇒ 5c = 20
⇒ c = 4
Substitute found value for c into h = 4c and solve for h:
⇒ h = 4 × 4
⇒ h = 16
Therefore, 16 hot dogs and 4 chips were ordered.
Marcy is putting a wallpaper border at the top of the walls of her baby's rectangular room. The width of the room is 2 feet less than the length. If she needs 52 feet of border, what are the dimensions of the room?
Answer:
The baby's rectangular room is 14 feet long and 12 feet wide
Step-by-step explanation:
Assume we set:
x=width of the room
y=length of the room
The width of the room is 2 feet less than the length:
[tex]x=y-2\qquad\qquad [1][/tex]
The total length of the wallpaper needed is the perimeter of the room. The formula for the perimeter of a rectangle is:
P=2x+2y
And the perimeter is equal to 52 feet:
2x+2y=52
Dividing by 2:
[tex]x+y=26\qquad\qquad [2][/tex]
Substituting x from [1]:
y-2+y=26
Simplifying:
2y-2=26
Adding 2:
2y=28
Solving:
y=28/2=14
y=14
Find x:
x=y-2=14-2=12
The baby's rectangular room is 14 feet long and 12 feet wide
The area of a rectangle is given by x2 - 12x + 35. Determine the length and breadth in
terms of x. Hence, determine the length and breadth if x = 20.
(3)
Answer:
[tex]x+7; x+5; 27; 25[/tex]
Step-by-step explanation:
First of all, we need to write [tex]x^2+12x+35[/tex] as a product. The easiest way is to find a pair of numbers whose product is 35 and sum is 12. Looking at the product, you notice it's 7 and 5, which added together indeed give 12.
The two side length are thus [tex]x+7[/tex] and [tex]x+5[/tex].
In the specific case, when [tex]x=20[/tex] the two sides measures 27 and 25.
What value of x makes the equation true?
-4( x - 3) = -28
Answer: x = 10
Step-by-step explanation: hope this helps
A candy distributor needs to mix a 40% fat-content chocolate with a 50% fat-content chocolate to create 100 kilograms of a 41% fat-content chocolate. How many kilograms of each kind of chocolate must they use? A) Write an equation that uses the information as it is given above that can be used to solve this problem. Use x as your variable to represent the quantity of 40% fat-content chocolate. Equation: B) Answer: They must mix ?Kilograms of the 40% chocolate and ?Kilograms of the 50% chocolate.
Answer:
The kilograms of chocolate for the 40% fat content (1st chocolate) = 90kg
The kilograms of chocolate for the 50% fat content (2nd chocolate) = 10kg
Step-by-step explanation:
A candy distributor needs to mix a 40% fat-content chocolate with a 50% fat-content chocolate to create 100 kilograms of a 41% fat-content chocolate. How many kilograms of each kind of chocolate must they use?
Let us represent
Kilograms of first chocolate = x
Kilograms of second chocolate = y
A candy distributor needs to mix a 40% fat-content chocolate with a 50% fat-content chocolate to create 100 kilograms of a 41% fat-content chocolate.
Hence:
40% × x + 50% × y = 41% × 100
0.40x + 0.50y = 0.41× 100
0.40x + 0.50y = 41.......Equation 1
x + y = 100kg ......Equation 2
x = 100 - y
Substitute 100 - y for x
0.40(100 - y) + 0.50y = 41
40 - 0.40y + 0.50y = 41
Collect like terms
- 0.40y + 0.50y = 41 - 40
0.10y = 1
y = 1/0.1
y = 10.
Therefore, the kilograms of chocolate for the 50% fat content (2nd chocolate) = 10kg
Remember:
x = 100 - y
x = 100kg - 10kg
x = 90kg
The kilograms of chocolate for the 40% fat content (1st chocolate) = 90kg
PLEASE HELP DUE SOON! - 40 POINTS + BRAINLIEST
(2 attachments)
Answer:
Step-by-step explanation:
B
A
A
a/b = (a+b)/a
What is the value of a/b? Please show all steps.
Answer:
1+b/a
Step-by-step explanation:
To find the amount of a/b we have to solve the equation
(a+b)/a
a/a+b/a
a/a is one so
1+b/a
A shipping container is in the form of a right rectangular prism, with dimensions of
20 ft by 8 ft by 7 ft 9 in. If the container holds 409 cubic feet of shipped goods, what
percent is full? Round your answer to the nearest whole number if necessary.
Answer:
465
Step-by-step explanation:
I just did it
In a 180-kilogram sample of ore, there was 3.2% metal. How many kilograms of metal were in the sample?
5.76 KG as 180 x 0.032 (3.2 percent) = 5.76
Carpenters refer to the slope of a roof as the pitch on the roof
Answer:
Step-by-step explanation:
pitch=4/12=1/3
A total of 360 tickets were sold for a school play. They were either adult 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? (Please help)
Answer:
120 ----------adult tickets sold.240 (children tickets sold)Step-by-step explanation:
a total of 360 tickets were sold for the school play. they were either adults 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 by chibabykalu1 (Show Source): You can put this solution on YOUR website!
x, =student tickets
y, =adult tickets
-----
=> x + y = 360 --------(1) x = 2y. ----------(2)exact translation of the description into a system of equations. Solve for the value of y.
The process can be, solve for x in terms of y, already seen as THE second equation of the system; substitute into the other equation, and solve the result for y, and compute.
=> {2y} + y = 360=> 2y + y = 360=> 3y = 360=> (3y)/3 = +360)/4=> y = 120 ----------adult tickets sold.Substitute y = 120 into equation 2
=> x = 2y=> x = 2(120)=> x = 240 (children tickets sold)What is the length of diagonal LN?
12.6 in
25.2 in
22.8 in
20.4 in
Answer:
50.7016
Step-by-step explanation:
1.Area of rhombus is l^2
area of rhombus=1/2*d1*d2
Answer:
the answer is C.25.2
Step-by-step explanation:
i took the quiz and got it right.
what is equivalent to 2(-6c+3)+4c
Answer:
-8c + 6
Step-by-step explanation:
2 (-6c + 3) + 4c
Distribute the 2 with the expression in the parenthesis:
-12c + 6 + 4c
*Parenthesis are no longer needed
Combine Like terms:
-8c + 6
*Ask yourself is it in its simplest form? If no, continue your work. If yes, you have your answer.
A parabola can be drawn given a focus of (-11, -2) and a directrix of x= -3
Write the equation of the parabola in any form.
Check the picture below, so the parabola looks more or less like that.
now, the vertex is half-way between the focus point and the directrix, so that puts it where you see it in the picture, and the horizontal parabola is opening to the left-hand-side, meaning that the distance "P" is negative.
[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\supset}\qquad \stackrel{"p"~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\begin{cases} h=-7\\ k=-2\\ p=-4 \end{cases}\implies 4(-4)[x-(-7)]~~ = ~~[y-(-2)]^2 \\\\\\ -16(x+7)=(y+2)^2\implies x+7=-\cfrac{(y+2)^2}{16}\implies x=-\cfrac{1}{16}(y+2)^2-7[/tex]
A sample contains 16.75 g of the radioisotope u-236 and 50.25 g of its daughter isotope, th-232. how long did it take for decay to take place if one half-life of u-236 is 23 million years? 46 million years 69 million years 92 million years 115 million years
If one half-life of U-236 is 23 million years then it will take 45.5 or approximately 46 million years to decay. Then the correct option is A.
What is half-life?Half-life is the time interval that is needed to decay the atomic nuclei of a radioactive sample.
A sample contains 16.75 g of the radioisotope U-236 and 50.25 g of its daughter isotope, Th-232.
Initially, the whole sample is consisting the radioisotope. Then the initial total mass will be
m₀ = 16.75 + 50.25
m₀ = 67 g
Now we also know that the half-life is 23 million years. Then we have
[tex]m = m_oe^{- \lambda t}[/tex]
Then put the value
[tex]\begin{aligned} 16.75 &= 67 e^{- \lambda t}\\\\0.254 &= e^{- \lambda t}\\\\\lambda t &= 1.37\\\\\dfrac{ln2}{23 \rm \ million \ years } \times t &= 1.37\\\\t &= 45.5 \ \rm million\ years \end{aligned}[/tex]
If one half-life of U-236 is 23 million years then it will take 45.5 or approximately 46 million years to decay. Then the correct option is A.
More about the half-life link is given below.
https://brainly.com/question/24710827
Answer:
a. 46 million years
Step-by-step explanation:
Rachel took out a personal loan for $4,500 with a monthly payment of $173.06 for 36 months. determine the finance charge on rachel's loan if she takes all 36 months to pay it off. a. $48.06 b. $1,730.16 c. $4,500.00 d. $6,230.16
The finance charge on Rachel's loan if she takes all 36 months to pay it off is $1730.16.
The amount of personal loan = $4500
Monthly payment =$173
Loan tenure = 36 months
The total amount that Rachel will pay for 36 months = 36*173.06
The total amount that Rachel will pay for 36 months = $6230.16
What is the finance charge?A finance charge refers to any cost related to borrowing money, obtaining credit, or paying off loan obligations.
The finance charge on Rachel's loan if she takes all 36 months to pay it off = The total amount that Rachel will pay till 36 months - Amount of personal loan
The finance charge on Rachel's loan = 6230.16-4500 = $1730.16
Therefore, The finance charge on Rachel's loan if she takes all 36 months to pay it off is $1730.16.
To get more about monthly payments visit:
https://brainly.com/question/2151013
Mary is saving money to buy a game.So far she has saved $36,which is three-fourths of the total cost of the game.How much does the game cost?
Answer:
48 i think
Step-by-step explanation:
Answer:
$48
Step-by-step explanation:
Complete two expressions that have the same product as 3 x 5 . 12
__________ x
1
12 __________ x
3
12 hurry up please
If 1cm represents 5m, what would be an area of 6 square cm. represent?
Answer:
150 m²
Step-by-step explanation:
Given 1 cm represents 5 m
⟹1 cm=5 m
given area =6 cm² =6×(5 m)² =6×25 m²
=150 m²
area of 6 cm² represents 150 m²
Which composite figure is made up of a cone and a cylinder?
Answer:
Your answer is B, the second one.
Step-by-step explanation:
Find the Derivative y’ implicitly.
[tex]e^{x^2y} - e^y = e^y(e^{x^2} - 1) = x[/tex]
We should ISOLATE x
[tex]e^y= \frac{x}{e^{x^2} - 1}[/tex]
Find the Natural Log of Both Sides to Make the Left Side "y"
[tex]y = ln(\frac{x}{e^{x^2}-1})[/tex]
Now, FIND THE DERIVATIVE Using Chain Rule!!!
[tex]y' = \frac{1}{\frac{x}{e^{x^2}-1}} * \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2}= {\frac{e^{x^2}-1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)^2} = {\frac{1}{x}}* \frac{(1(e^{x^2}-1) - x(2x*e^{x^2})}{(e^{x^2}-1)} = {\frac{1}{x}}* \frac{(e^{x^2}-1 - 2x^2e^{x^2})}{(e^{x^2}-1)}[/tex]
Please help me answer this question please?
Part c
Answer:
ok 12 is 12 1 is 1 2 is 2 and three is treee
please help thank youuu
Answer:
What color does the letter purple taste like?
Step-by-step explanation:
They are ordering 120 pounds of seafood for the week. How many should be fish?
Answer:
43.2 pounds of fish :)
Step-by-step explanation:
120 x 0.36 = 43.2
Have a great day!!
Please rate and mark brainliest!!!
3.
Calculate 7.561 – 2.37
Answer:
7.561 – 2.37=5.191 if you wanted me to show work, comment and ill change it.
Step-by-step explanation:
what is the angle measure of 8?
Answer:
2x+8
Step-by-step explanation:
Since the two lines are crossing each other, angles on one side should be equal to the angle directly opposite them.
Evaluate a + 6 for a = 10
16
6
60
Help guys asap this is due today. Find the volume of the cylinder. Find the volume of a cylinder with the same radius and double the height.
The volume of the cylinder in^3?
The volume of with the same radius and double the height is ?
Answer:
226.2 in³ and 452.4 in³
Step-by-step explanation:
Volume of original shape:
Volume = base area x height
Volume = πr² x 2
Volume = π(6)² x 2
Volume = 113.10 x 2
Volume = 226.2 in³
Volume with same radius but double the height:
Volume = base area x height
Volume = πr² x 2(2) ----------> multiplied by 2 because height is being doubled
Volume = 113.10 x 4
Volume = 452.4 in³
A server makes $200 a week working at a local restaurant. The server saves 35% of the $200 weekly earnings each week for 4 weeks.
If the server saves 7/8 of the 5th week’s $200 earnings, how much money will the server have saved in total after the 5 weeks?
.$245
.$305
.$315
.$455
The total amount of money the server would have saved after 5 weeks is $455.
What is the total amount saved?The first step is to determine the total amount of money saved for the first four weeks.
Total amount of money saved in the first four weeks = 35% x (200 x 4) = $280
Amount saved on the 5th week = 7/8 x $200 = $175
Total savings = $175 + $280 = $455
To learn more about fractions, please check: https://brainly.com/question/1301963
can someone help me please
Answer:
C. d = C/pi
Step-by-step explanation:
lol nothing really to explain but it's saying diameter equals circumference divided by pi
Hope this helps dude !