Answer:
Hello there,
Let's solve,
It takes 4tsp for 18 cupcakes
thus for 1tsp it'll be,
= 18/4
= 4 and a half cupcake
That is one teaspoon of vanilla is needed for 4 and a half cupcakes.
All the best!
Carmel draws a plan of her school using a scale of 1 cm to 5 m.
On the plan, the playground is 6 cm long.
What is the real length of the playground?
Answer:
30m
Step-by-step explanation:
If 1=5
Then
6=?
6÷1×5=30m
If six angles of a heptagon have measures of 122, 153, 168, 105, 162, and 87, what is the measure of the seventh angle?
Answer:
he seventh angles measure is 103
Step-by-step explanation:
Interior angles = (number of side in the polygon - 2) times 180.
So Heptagon interior angles = (7-2)(180) = 900
To find the missing angles add all the given angles together (122, 153, 168, 105, 162, and 87) = 797.
Now The measure of the seventh angles = total angles measure - the six given angles,
The seventh angles measure is 103
900 - 797 = 103
Please help me on this it’s due please help me
Tìm câu trả lời trong file
Answer:
please mark me as brilliant and answer my questions
Question 6 of 25
What is sin 45°?
Answer:
B.
[tex] \frac{1}{ \sqrt{2} } [/tex]
Fill in the missing number. 40% of = 800
Answer:
40% of 800 is 320
Step-by-step explanation:
0.40×800=320
Find the least square number divisible by 5, 10, 15. (a) 100 (b) 625 (c) 900 (d) 225
Answer:-
900
Verification:-
[tex]\\ \sf\longmapsto \dfrac{900}{5}=180[/tex]
[tex]\\ \sf\longmapsto \dfrac{900}{10}=90[/tex]
[tex]\\ \sf\longmapsto \dfrac{900}{15}=6[/tex]
Answer:
a) 100
→ [tex]\frac{100}{5}[/tex] = 20
→ [tex]\frac{100}{10}[/tex] = 10
→ [tex]\frac{100}{15}[/tex] = 6⅔
100 is not divisible by 15
b) 625
→ [tex]\frac{625}{5}[/tex] = 125
→ [tex]\frac{625}{10}[/tex] = 62.5
→ [tex]\frac{625}{15}[/tex] = 41.6
625 is not divisible by 10 and 15.
c) 900
→ [tex]\frac{900}{5}[/tex] = 180
→ [tex]\frac{900}{10}[/tex] = 90
→ [tex]\frac{900}{15}[/tex] = 60
900 is the correct answer.
d) 225
→ [tex]\frac{225}{5}[/tex] = 45
→ [tex]\frac{225}{10}[/tex] = 22.5
→ [tex]\frac{225}{15}[/tex] = 15
225 is not divisible by 15
900 is the correct answer.
A container manufacturing company was contracted to design and manufacture cylindrical cans for fruit juice. The volume of each can needs to be 0.946 liters. In order to minimize production costs, the company wishes to design cans that require the smallest amount of material possible. (This means that you need to design a can with volume=.946 liters and the smallest possible surface area. Explain the relationship between the surface area and the amount of material.)
The volume of the cylinder is the amount of fruit juice it can contain.
The relationship between the volume and the surface area is:
[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]
The given parameter is:
[tex]\mathbf{V = 0.946}[/tex]
The volume of a cylinder is calculated as:
[tex]\mathbf{V = \pi r^2 h}[/tex]
Make h the subject
[tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]
The surface area (A) of a cylinder is:
[tex]\mathbf{A = \pi r^2 + \pi rh}[/tex]
Substitute [tex]\mathbf{h = \frac{V}{ \pi r^2}}[/tex]
[tex]\mathbf{A = \pi r^2 + \pi r \times \frac{V}{\pi r^2}}[/tex]
[tex]\mathbf{A = \pi r^2 + \frac{V}{r}}[/tex]
Differentiate
[tex]\mathbf{A' = 2\pi r - Vr^{-2}}[/tex]
Set to 0
[tex]\mathbf{2\pi r - Vr^{-2} = 0}[/tex]
Rewrite as:
[tex]\mathbf{ 2\pi r = Vr^{-2}}[/tex]
Multiply through by r^2
[tex]\mathbf{ 2\pi r^3 = V}[/tex]
Solve for r
[tex]\mathbf{r = \sqrt[3]{\frac{V}{2\pi}}}[/tex]
[tex]\mathbf{A = \pi r^2 + \frac{0.946}{r}}[/tex]
So, we have:
[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]
Hence, the relationship between the volume and the surface area is:
[tex]\mathbf{A = \pi (\sqrt[3]{\frac{V}{2\pi}})^2 + \frac{0.946}{(\sqrt[3]{\frac{V}{2\pi}})}}[/tex]
Read more about surface areas and volumes at:
https://brainly.com/question/3628550
pls need answer fast asap need help 100 pts!!!
Answer:
Answer:
8% is the answer
Answer:
8%
Step-by-step explanation:
Given f(x) = 5x + 32, find the following.pls don't send me a link to something and. pls pls help me this is due today and I'm still struggling with it
Answer:
thank you for points....
PLEASE HELP! ASAP I NEED HELP!
a) 314.285728572857.......
b) i think 5.4 boxes
c) its an under estimate cuz actual value is more than 5
Step-by-step explanation:
a) To find the area of her garden, you need to know the area of a circle: πr²
diameter = 20m
radius = 10m
3.14 × 10² = 314m²
b) If 1 box covers 58m², then we need to work out how many 58m² can fit into her garden, but because its an estimate we round the numbers to 1 significant figure
314 ÷ 58 ≈ 300 ÷ 60 = 5
c) The answer is an underestimate because the actual value is 5.4137...
314 ÷ 58 = 5.4137..
multiply ( 2 4/5 ) x ( -5 2/3 )
( -10 8/15 )
( -15 13/15 )
( 10 8/15 )
( 15 13/15 )
Answer:
Step-by-step explanation:
First turn the mixed fractions into improper fractions
--> ([tex]\frac{2*5+4}{5}[/tex]) × ([tex]\frac{-5*5+4}{3}[/tex])
[tex]\frac{14}{5}[/tex]×[tex]\frac{-17}{3}[/tex]
Then multiply. the answer becomes −15 13/15
HELP PLEASE THIS IS DUE TOMORROW 1. Mr. Connors drives his car 11 miles each day to and from work. Is the distance Mr. Connors drives commuting to work proportional to the number of days he works? How do you know?
Answer:
short answer Yes and No
Step-by-step explanation:
long answer
let's say he drives to and from work 5 days a week that's 110 hours driving to and from work. But let's say he only drives to work and from work 2 days a week that only 44 hours driving to and from work. But now let's say he only drives 2 days a week but has to keep driving to and back from work because he forgets something at his house or at work and say he hasto drive and extra 77 hours because he forgot something that's now 99 hours he drove to and from work but only worked 2 days out of the week
Hope this helped :)
write 7/571 as a mixed number!
Answer:
It is a proper fraction so it cannot be written as a mixed number.
Step-by-step explanation:
A little help? A set of numbers is given below. √72, 9.25, √83, 2, 8.7 Which list correctly orders the numbers from least to greatest?
Answer:
9.25, 83^1/2, 8.7, 72^1/2, 2 From greatest to least
2, 72^1/2, 8.7, 83^1/2, 9.25 from least to greatest
Step-by-step explanation:
Can anyone please help me with this?
Answer:
m∠QPT = 110°
Step-by-step explanation:
1. We can use exterior angle theorem to find m∠QPT. Exterior Angle Theorem states that the exterior angle of a triangle is equal to the sum of the two remote angles in that same triangle.
This means that 6x + 20 = x + 40 + 4x - 5. Then, we can plug in the value of x into 6x + 20 and find the measure of ∠QPT.2. (Solving)
Step 1: Combine like terms.
[tex]6x + 20 = (x+4x)+(40-5)[/tex] [tex]6x + 20 = 5x + 35[/tex]Step 2: Subtract 20 from both sides.
[tex]6x + 20 - 20 = 5x + 35 - 20[/tex] [tex]6x = 5x +15[/tex]Step 3: Subtract 5x from both sides.
[tex]6x - 5x = 5x +15 - 5x[/tex] [tex]x = 15[/tex]Step 4: Check if solution is correct.
[tex]6(15)+20=(15)+40+4(15)-5[/tex] [tex]90 + 20 = 15 + 40 + 60 - 5[/tex] [tex]110 = 55 + 60 - 5[/tex] [tex]110 = 115 - 5[/tex] [tex]110 = 110[/tex]3. Now, let's plug in 15 for 6x + 20:
[tex]6(15)+20[/tex] [tex]90+20[/tex] [tex]110[/tex]Therefore, m∠QPT = 110°.
If tan A = | and tan B = Root3
evaluate
i) CosA cos B - sinA sinB
ii) sinA cosB+ cosA cosB
Answer:
i)
Step-by-step explanation:
Tan a = 1
Tan A = tan 45
A = 45.
Now,
Tan b = root 3
Tan b = tan 60.
B = 60.
Now ,
Cos a * cos b - sin A * sin B
= cos 45 * cos 60 - sin 45 * sin 60
= 1/root 2 * 1/2 - 1/root 2 * root 3 /2
= 1 /root 2 ( 1/2 - root 3 /2)
= 1/root 2 * 1 - root 3 /2
= 1 - root 3 / 2 root 2.
Due tomorrow please help
Answer:
The choice B.
[tex]x > 4 \\ x < - 1[/tex]
I hope I helped you^_^
b(n) = 4 – 6(n-1)
Find the 4th term in the sequence.
Answer:
B4= 4-6(4-1)
B4= 4-7(3)
B4= 4-18
B4= -14
Tarek will spend at most $26 on gifts. So far, he has spent $14. What are the possible additional amounts he will spend?
Use c for the additional amount (in dollars) Tarek will spend.
Write your answer as an inequality solved for c.
Answer:
c<$12
Step-by-step explanation:
$26-$14>c
$12>c
c<$12
Answer:
14 + c ≤ 26
Step-by-step explanation:
Since Tarek can spend at most $26, then the symbol to represent this relationship/inequality is ≤ (less than or equal to). He's already spent $14, so 14 plus an additional amount should be less than or equal to 26!
Holly is displaying a postcard collection on a bulletin board that is 35 3/4 inches wide. Each postcard is 5 7/8 inches wide. Holly estimates that the number of postcards she can display in each row is 7. Is this the best estimate Explain
100 POINTS AND BRAINLIEST
Answer:
Yes.
Step-by-step explanation:
By looking at the numbers of 35 3/4 inches and 5 7/8 inches, you already know that 35 ÷ 5 is 7. Holly might need extra space in between the postcards, which is perfect since she has the leftover fractions, that equal more than 1.
-kiniwih426
Length of board=35 3/4=143/4in
Length of postcard=5 7/8=47/8in
Total postcards
. [tex]\\ \sf\longmapsto \dfrac{143}{8}\div \dfrac{47}{8}[/tex]
[tex]\\ \sf\longmapsto \dfrac{143}{8}\times \dfrac{8}{47}[/tex]
[tex]\\ \sf\longmapsto \dfrac{143}{47}[/tex]
[tex]\\ \sf\longmapsto 3(Approx)[/tex]
No not best estimated option
i need help to a can get an A
Answer:
See below:
Step-by-step explanation:
We can use the Pythagorean Theorum to find out the missing side because we have a 90 degree right angle and 2 sides already given to us.
The Pythagorean Theorem states that a^2 + b^2 = c^2
a in this case would be the shortest side,
b in this case would be the 2nd longest side,
c is the hypotenuse.
[tex]a^{2} + b^{2}= c^{2} \\a^{2} + 15^{2} = 17^{2}[/tex]
If we solve this, we get 8!
Cheers!
Find the 21st term of the arithmetic sequence an=9+3(n-4) a21=
Answer:
120
Step-by-step explanation:
Given arithmetic sequence
3,5,7,9,.........,21
The first term a=3 & a common difference d=5−3=7−5=⋯=2
If there are n number of terms in the above A.P. then last term l=21 will be the nth term given as
l=a+(n−1)d
21=3+(n−1)2
n=10
hence the sum of given arithmetic progression (A.P.) up to 10 terms is given general formula
Sn=n2(a+l)
S10=102(3+21)
=120
Cuantos lugares sobran de acuerdo con el número de las mesas y de los invitados que te tienen?
Answer:la cantidad de invitados y la cantidad de mesas que no nos dio por favor agréguelo para que pueda ayudarlo :))
Step-by-step explanation:
بلاد سركوليشن سيستم
May I please receive help?
4, -1/4 -1,
we can do this simply by
(y2-y1)/(x2-x1)
and simplifying
DO NOT ANSWER IF YOU DO NOT KNOW
What is 1 way you can tell if two people are paying the same rate?
Answer:
By saying "paying the same rate"
I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.
If so then there are a couple of factors at play.
First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.
How many wholes are there in 7/3
Answer: there are 2 whole in 7/3
Step-by-step explanation: 7 divided by 3 is 2r1. 7/3 = 2 1/3
which of the following inequalities is graphed above?
Answer:
1st option
y=-3/8x+3
What is the best description of the relation?
Answer:
The relation is not a function.
Step-by-step explanation:
A function is a relation in which no two ordered pairs have the same input and different outputs. Whenever you're trying to determine whether a given relation is a function, observe whether each input corresponds with exactly one output.
In this case, the answer is no. The input value of 10 corresponds with two output values, 4 and 20. It only takes one input value to associate with more than one output value to be invalid as a function.
Therefore, the given relation is not a function.