Buffalo Chicken Dip calls for ¾ cup of buffalo sauce and serves 12 people. If I am having 30 people over for a party, how much buffalo sauce will I need for my recipe?
Answer:
15/8 cup or [tex]1\frac{7}{8}[/tex] cup
Step-by-step explanation:
3/4 = 0.75
Ratios:
[tex]\frac{0.75}{12} =\frac{x}{30} \\\\12x=22.5\\x= 15/8[/tex]
Answer:
[tex]\frac{15}{8}[/tex] cup
This can also be expressed as the following:
[tex]1\frac{7}{8}[/tex] cup
Step-by-step explanation:
This problem involved ratios. A ratio is a way of expressing one value compared to another when the two values being compared are of a different unit. The problem gives one the general ratio of the following,
[tex]sauce (cups) : people (number)[/tex]
Substitute in the given values, since one knows the units, it is unnecessary to write it,
[tex]\frac{3}{4}:12[/tex]
In this problem, the ratio of cups of sauce to people is constant, therefore one can say that the amount of sauce that (12) people need is proportional to the amount of sauce that (30) people need. Thus, set up an equation to solve for the unknown amount of sauce that (30) people need. Let parameter (x) represent the unknown amount of sauce.
[tex]\frac{3}{4} : 12 = x : 30[/tex]
Use cross products to simplify,
[tex](12)(x)=(\frac{3}{4})(30)[/tex]
Simplify,
[tex]12x=\frac{45}{2}[/tex]
Inverse operations,
[tex]12x = \frac{45}{2}[/tex]
Multiply both sides by (2)
[tex]24x=45[/tex]
Divide both sides by (24),
[tex]x=\frac{45}{24}[/tex]
Simplify,
[tex]x=\frac{15}{8}[/tex]
help me w this pls pls pls
Answer:
48
Step-by-step explanation:
2500 - 196 = [tex]x^{2}[/tex]
x = 48
Please mark as brainliest for future answers :)
6 ( x/2 + 4) ≥ 9 hey guys whats the answer please
Alex, Susan and Amy shared 66 watermelons. The number of watermelons owned by Alex is two times the number of watermelons owned by Susan, while Amy has 6 more than Susan. Find the ratio of the number of watermelons owned by Susan to the number of watermelons owned by amy.
Answer:
5:7
Step-by-step explanation:
First you have to find the watermelons owned by the three of them.
Let's take Susan as 'x'
According to the question:
1. Alex has twice the watermelons as Susan -> 2x
2. Amy has 6 more watermelons than Susan -> x+6
The sum of the watermelons is 66
SO,
x + 2x + x + 6 = 66
4x = 60
x = 15
Susan has 15
Alex has 30
and Amy has 21
Now we do the ratio:
Susan : Amy
15 : 21
5 : 7
If you inflate a beach ball with 14,130 cubic inches of air, what will its radius be? Use 3.14 for π. Round to the nearest whole number if necessary.
Answer: 15
Step-by-step explanation:
The answer is because if you divide 14,130 by 3.14. You'll get 4500 and then divide that by 300 and your finally is 15
The radius of the inflated beach ball is equal to 58 inches.
What are the surface area and volume of a sphere?Surface Area of a Sphere. A = 4 π r². The volume of a Sphere. V = (4 ⁄ 3) π r³. Where r is the radius of the circle.
Given: The volume of the sphere is 14,310 inches³
we know the volume of the sphere is 4/3 πr³
Thus equating we get
4/3 × 3.14×r³=14310
r³=3417.99
r³=3418
r=58.463 or 58 (approx)
Learn more about sphere here:
https://brainly.com/question/2855746
#SPJ6
Select the equation written in standard form.
A) x+y=3
B) none of the other answers are correct
C) y=3×+7
D) y+7=×
E)×=2+3y
Answer:
c
Step-by-step explanation:
standard form is y=mx+b
What is the surface area of the cone? Express your answer in terms of π.
Answer:
surface area of a cone = 132.935πft
Step-by-step explanation:
to find the surface area of a cone
given that
radius = 5ft
height of cone = 21ft
recall that the formulae for finding the surface area of a cone = πr( r + √ h² + r²)
so,
surface area of a cone = πr( r + √ h² + r²)
surface area of a cone = π x 5( 5 + √ 21² + 5²)
surface area of a cone = 5π ( 5 + √ 441 + 25)
surface area of a cone = 5π( 5 + 21.587)
surface area of a cone = 5π (26.587)
surface area of a cone = 132.935πft
Answer:
If you want just the area of the circle (the surface area) then it is 78.5
Step-by-step explanation:
radius=5
[tex]5^{2} =25[/tex]
π=3.14
25×3.14= 78.5
Giant pandas can spend up to 16 hours a day eating bamboo. How many minutes per day is this? Hint: 1 day = 1440 minutes
Answer:
960 minutes
Step-by-step explanation:
If there are 24 hours a day with 60 minutes then there are 1440 hours a day.
There 16 hours multiplied by 60 minutes will give you your answer! [tex]16*60=960[/tex]
it is 690 minutes per 16 hours
Correct Answer Gets Brainliest + 15 points. (please help)
Answer:
74,650
Step-by-step explanation:
270 times 400 and 125 times 400 - 83,350 = 74,650
Number 24! Please I really need it!
Answer:
Step-by-step explanation:
since they say that there are the 3 parallelograms, and that the two small ones are also part of the bigger one.. then HJ and FG are parallel lines and there fore ∠2 ≈ ∠3
:)
Use the quadratic formula to solve the equation.
4x2 - X+ 3 = 0
Answer:
X=11
Step-by-step explanation:
4 x 2 - X + 3 = 0
multiply 4 x 2
=8
subtract the 3 and 8 to the other side which will made it
-X = -11
and this can be divided by a negative so the answer will be
X = 11
Round off 2876.987 to nearest unit.
pls answer
222222345678975433382616273485
use the substitution method to solve
3x + 2y=12
y=2x -1
Answer:
1. y=2
2. y= - 2
Step-by-step explanation:
Thats my answer hope it helps
Answer:
the solution is : (2 , 3)
Step-by-step explanation:
hello : here is an solution
3x + 2y=12.....(*)
y=2x -1.....(**)
put the value for y in (*) :
3x + 2(2x-1)=12
3x+4x-2 = 12
7x =14
so : x =2
but : y=2x -1
y =2(2)-1 = 3
the solution is : (2 , 3)
Factorizar Sumas de cubo
1) 8x³ + 1
2) 27a³ + b³
3) 8x³ + 1,000
[tex] \huge{\mathbb{{ANSWERS}}}[/tex]
1.) 8x³ + 1
[tex] \underline{ \tt{{(2x + 1) \times (4 {x}^{2} - 2x + 1)}}}[/tex]2.) 27a³ + b³
[tex] \underline{ \tt{{(3a + b) \times (9{a}^{2} - 3ab + {b}^{2})}}}[/tex]3.) 8x³ + 1,000
[tex] \underline{ \tt{{8(x + 5) \times ( {x}^{2} - 5x + 25)}}}[/tex]Note: My anwer is base on my knowledge
Hopefully Help:)
#CarryOnLearning_MafiaQueen4
What is the solution to the system of equations above?
Answer:
(-2,-2)
Step-by-step explanation:
the x is -2
also the y is -2
Cann someone pls pls help me with this one ignore the bottom question it was in the way.
Answer:
r=-24
Step-by-step explanation:
Step1: Add 4 to both sides
-2r - 4 + 4 > 44 + 4
-2r > 48
Step 2: Divide both sides by -2
-2r/ -2 > 48/ -2
r < -24
Find the surface area of a square pyramid with side length 6 yd and slant height 6 yd.
Answer:36
Step-by-step explanation:
.
If abc avw find the values of x and y
Answer:
x=7.2 y=7.5 this is the answer
What is the following difference?
11 inverse 45 -4 inverse 5
PLEASE HEEEEEELP!!
Answer:
180- 20
Step-by-step explanation:
A straight line is 180 therefore the piece that is cut off has to be subtracted from 180. 20 is the cut off piece. 180-20= 160
Find the surface area of each figure. Round to the hundredths place when necessary.
Answer:
SA = 997.88 mm²
Step-by-step explanation:
height² = 20.5² - 13.3² = 420.25 - 176.89 = 243.36
height = √243.36 = 15.6
SA = (16 x 13.3) + (16 x 20.5) + (16 x 15.6) + (0.5 x 2 x 13.3 x 15.6)
SA = 212.8 + 328 + 249.6 + 207.48 = 997.88 mm²
Help?!!!!!!!!!!!!!!!!!
Answer:
A.
Step-by-step explanation:
Divide 82 by 5.25 ([tex]5\frac{1}{4}[/tex] in decimal form). [tex]\frac{82}{5.25}=15.619047619047619047...[/tex], which can be rounded to 15.6 inches , so the answer is A. Hope this helps!
Please mark me as brainliest!Fre.e points i guess 2+2+2x5=
Answer:
14
Step-by-step explanation:
evaluate multiplication first
14
hope this helped :l
(3a+1)^{2} -4a^{2} +4a-1
can someone factorize this while explaining how please:)
Answer:
5a(a + 2)
Step-by-step explanation:
Given
(3a + 1)² - 4a² + 4a - 1 ← expand factor using FOIL
= 9a² + 6a + 1 - 4a² + 4a - 1 ← collect like terms
= 5a² + 10a ← factor out 5a from each term
= 5a(a + 2)
Round the number to the nearest tenth.
5.19
Hint: Do not leave a zero in the
hundredths place.
The function y= 15.35 (1.0279)^t represents the value y(in dollars) of a share of stock after t days. Identify the initial amount and determine the growth or decay rate.
9514 1404 393
Answer:
initial amount: $15.35growth: 2.79% per dayStep-by-step explanation:
The coefficient is the initial amount: $15.35.
The growth factor is the base of the exponential term: 1.0279. The growth rate is 1 less than this: 1.0279 -1 = 0.0279 = 2.79%. It is positive, so represents a growth of 2.79% per day.
I need help with this question,im stuck.
Answer:
4
Step-by-step explanation:
ration of rectangle ABCD to EFGH=> 24 : 12=> 2 : 1
2 : 1 = 8 : FG
=> FG = 4
please help me and no links this is due in 10 mins ill give you the crown
Answer:
angle Q is 68°
angle R is 112°
There u go hehehehewh full question
Find missing side? Soh cah toa
Answer:
x ≈ 14.6
Step-by-step explanation:
Using the sine ratio in the right triangle
sin59° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{17}[/tex] ( multiply both sides by 17 )
17 × sin59° = x , then
x ≈ 14.6 ( to 1 dec. place )