Answer:
number of servings = 1.5
Step-by-step explanation:
1 gallon = 16 Cups
cups of lemonade concentrate : lemonade servings
212 cups : 20 servings
How many servings can Mary make using 1 gallon of lemonade concentrate
Let
x = number of servings
cups of lemonade concentrate : lemonade servings
16 cups : x servings
Equate both ratios to get x
212 : 20 = 16 : x
212 / 20 = 16 / x
Cross product
212 * x = 20 * 16
212x = 320
x = 320 / 212
= 1.5094339622641
Approximately 1.5 servings
number of servings = 1.5
A food store makes a 11-lb mixture of oatmeal, crispies, and chocolate chips. The cost of oatmeal is $1.50 per pound, crispies cost $2.00 per pound, and chocolate chips cost $1.00 per pound. The mixture calls for twice as much oatmeal as crispies. The total cost of the mixture is $17.00. How much of each ingredient did the store use?
Answer:
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
Step-by-step explanation:
Let,
x be the pounds of oatmeal used
y be the pounds of crispies used
z be the pounds of chocolate
According to given statement;
1.50x+2.00y+1.00z = 17.00 Eqn 1
x+y+z = 11 Eqn 2
x = 2y Eqn 3
Putting x=2y in Eqn 2
2y+y+z = 11
3y+z = 11 Eqn 4
From Eqn 4
z = 11 - 3y Eqn 5
Putting value of x and z from Eqn 3 and Eqn 5 in Eqn 1
1.50(2y) + 2.00y + 1(11-3y) = 17.00
3y+2y+11-3y=17
[tex]2y=17-11\\2y=6\\\frac{2y}{2}=\frac{6}{2}\\y=3[/tex]
Putting y = 3 in Eqn 3
x= 2(3)
x= 6
Putting in Eqn 2
6 + 3 + z = 11
z = 11-9
z= 2
Hence,
6 pounds of oatmeal, 3 pounds of crispies and 2 pounds of chocolate chips were used.
-8 + (6/7) plz help i need hlep
Answer:
The answer is -0.14
Answer:
0.14 is correct i looked it up to make sure
Step-by-step explanation:
Evaluate.
3 1/5 / 5 √-96=
Answer:
((3 1/5)/5) √(-96) =
6.27069374 i
Step-by-step explanation:
Find the perimeter of the following shapes 9cm and 4.1?
Answer: a) 26.2 cm
Step-by-step explanation:
Perimeter of rectangle = 2 (l + w)
2 (l + w) = 2 (9 + 4.1) = 2 (13.1) = 26.2 cm
Hope this helps!
A shoe store uses a 38% markup to price their items. The store buys the
shoes from the wholesaler for $52. By how much will they mark up the price?
Answer:
They will Markup the price by $19.76.
Step-by-step explanation:
Markup percent = 38%
Wholesale Price = $52
Markup price can be calculated by simply multiplying the wholesale price by 38% or 0.38.
so
Markup price = 38% of 52
= 38/100 × 52
= 0.38 × 52
= $19.76
Therefore, they will Markup the price by $19.76.
-1/6 + 4/5 Write your answer in simplest form
Answer:19/30
Step-by-step explanation:
1. multiply and divide(left to right)-1/6
=-1/6+4/5
2.multiply and divide(left to right)4/5
=-1/6+4/5
3. add and subtract(left to right)-1/6+4/5=19/30
=19/30
consider this system of equationsY=-1/2x+4 1/2 and 3x -4y=12 solve the system by graphing.Label each graph and the solution ...?HELP
Answer:
y=x^2
Step-by-step explanation:
What’s the solution for 6x = 18
Answer:
x = 3
Step-by-step explanation:
Divide 6 on both sides to get your answer which is 3.
Answer: x=3
Step-by-step explanation:
6x=18
x=18/6
x=3
Check: 6(3) =18
jsjsbsjdjsjannsnsns
Answer:
yes this is so normal to do
Please help me with this I’ll mark brainiest
Answer:
44/2 = ?/22
I am so glad I could help!
If you need any more help, make sure to send me a friend request.
Make sure to rate, like and give brainliest so I know how well I did.
-maddy <33
Harold opened a credit card at a department store with an APR of 14.55% compounded monthly. What is the APY on this credit card?
Answer:
the APY on this credit card is 15.56%
Step-by-step explanation:
The computation of the APY is as followS:
The nominal monthly rate is
= 0.1455 ÷ 12
= 0.012125
Now
real annual rate= [(1 + Nominal monthly rate)^number of months] - 1
= [(1.0.12125^12) - 1]
= 15.56%
Hence, the APY on this credit card is 15.56%
The same is considered by applying the given formula
Harry and Tim both made New Years resolutions. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How many resolutions did Harry make?
Answer:
Harry made 9 resolutions
Step-by-step explanation:
Okay, so the first thing that we have to do is divide 13 by 2.
Of course, it wouldn't equal so let's just say 6.
So both boys made around 6 resolutions each.
Now we have to take into consideration the 5 more resolutions that Harry made.
What I did to answer this question was I kept taking away Tim's resolutions and giving them to Harry until Harry had 5 more resolutions than Tim.
Finally, my resolution ratio came to 4:9
Tim made 4 resolutions and Harry made 9
In conclusion, Harry made 9 resolutions.
Plz mark me brainliest :)
There are 9 resolutions did Harry make.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Harry and Tim both made New Years resolutions.
Harry made 5 more resolutions than Tim.
And, Together they made 13 resolutions.
Now,
Let number of resolution Tim make = x
Then, Number of resolution Harry make = x + 5
Since, Together they made 13 resolutions.
Hence, We get;
⇒ x + (x + 5) = 13
⇒ 2x = 13 - 5
⇒ 2x = 8
⇒ x = 4
Thus, Number of resolution Harry make = x + 5
= 4 + 5
= 9
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
Find the radius of the given circle with the center at (-2,1) and a point on the circle at (0,3).
Answer:
The radius of the given circle ( r ) = 2√2
Step-by-step explanation:
Step(i):-
Given that the center of the circle C = ( -2,1)
Given a point on the circle P = (0,3)
The distance between the center and point is called the radius of the circle
CP = radius of the circle
Step(ii):-
[tex]CP = \sqrt{x_{2} - x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
[tex]CP = \sqrt{(0 - (-2))^{2} +(3-1)^{2} } \\CP = \sqrt{4+4}[/tex]
CP = √8 = [tex]\sqrt{4 X 2} = 2\sqrt{2}[/tex]
Final answer:-
The radius of the given circle ( r ) = 2√2
HELP !!!!!!! MAHH HELP PLEASE !!!!
What is the equation of the line perpendicular to the line y = 2x + 3 with a y-intercept of -6
Answer:
y = -¹/₂ x - 6Step-by-step explanation:
Two lines are perpendicular if the product of theirs slopes is equal -1:
y=m₁x+b₁ ⊥ y=m₂x+b₂ ⇒ m₁×m₂ = -1
y = 2x + 3 ⇒ m₁=2
2×m₂ = -1 ⇒ m₂ = -¹/₂
The y-intercept is b=-6 so the equation in slope-intercept form:
y = -¹/₂ x - 6
select the equation that represents the correct answer. bill divided the 32 ants in his farm into groups. there are 8 ants in each group. how many groups are in the farm?
(A) 8x = 32
(B) 32 - X = 8
(C) X + 8 = 32
(D) 32x = 8
Answer:
dont cheat
Step-by-step explanation:
17.82 + 6.4 =
???????
Answer:
24.22
Step-by-step explanation:
simple addition right lol
Answer:
24.22
Step-by-step explanation:
!!!!!!!!!!!
freh points for da butter dog the dog wit da butter
Answer:
tanks for the freh points
Step-by-step explanation:
we all like freh points
Answer:
butter dog sounds cool
Step-by-step explanation:
EXOTIC BUTTERS?
Shannon and Bob are members of a cross-country team. Bob runs at a rate of 8 kilometers per hour and Shannon runs at a rate of 10 kilometers per hour. If the distance around the team's practice course is 1.7 kilometers, how much longer does it take Bob to complete one trip around the course than Shannon, to the nearest tenth of a minute?
Answer:
2.6 minutes
Step-by-step explanation:
Speed of Bob = 8 km/hr
Speed of Shannon = 10 km/hr
Distance of practice course = 1.7 km
As time = (distance)/(speed), so
Time taken by Bob to cover the distance, t1 = 1.7/8=0.2125 hours
Time taken by Shannon to cover the distance, t2 = 1.7/10= 0.17 hours
As t1 > t2, so, Bob takes more time than Shannon to complete the course.
t1-t2= 0.2125-0.17 = 0.0425 hours = 0.0425 x 60 minutes= 2.55 minutes.
On rounding up to tenth digit, t1-t2 = 2.6 minutes.
Hence, It takes 2.6 minutes more time for Bob to complete one trip around the course than Shannon
6x + 3y = 12
4x + y = 14 what is the solution
Answer:
x=5 y=-6
Step-by-step explanation:
6x + 3y = 12 , 4x + y = 14
4x*3+y*3=14*3
12x+3y=42 , 6x+3y=12
(12x-6x)+(3y-3y)=30
6x=30, x=5
4*5 + y = 14
y=-6
is the dilation from figure A to figure B an enlargement or a reduction? what is the scale factor?
If the measures of two angles of a triangle are 102° and 27°, what is the measure of the third angle?
The measure of the third angle isº
Answer:
75°
Step-by-step explanation:
this isnt really step by step but its some thing
102
-27=
75°
Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Tyrone and Neil got in trouble at football practice and have to run laps as a consequence.
Tyrone, who runs at a rate of 2 laps per minute, had completed 4 laps already when he was
joined on the track by Neil. Neil's pace is 6 laps per minute. At some point, the two will have
run the same distance. How many laps will each boy have run? How long will that take?
Tyrone and Neil will each have run
laps in
minutes.
Gregor Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today, Gregor has 228 peas to examine. The pods have 6 peas per pod.
How many pods of peas are there?
Answer:
There are 38 pods, because 228 divided by 6= 38
Step-by-step explanation:
(number of pods)×(peas per pod)=(total peas)
A cleaning company charges $3 per square foot and a flat fee of $100. Which of the equations below shows the cost y, in dollars, of cleaning a patio that is x square foot? Hint: find the key words and corresponding amounts for "m" and "b."
Step-by-step explanation:
Y= 3x + b
As, to know the total, which is y, we need to solve for the cost
So first for money per square foot = $3
For square foot = x
So, price for x square foot = $3x (here this is the value of m)
Now, for value b,
$100 is added to the cost as its the charge, as the flat fee
So the value of b = $100
So, y=3x+100
Can someone please help me answer this
Answer:
45/100 and 55/100
Step-by-step explanation:
Simplify the Fraction, if you dont know how just look up fraction simplifier
What is the value of X?
PLEASE HELP
Answer:
23
Step-by-step explanation:
19=x-4
x=23
The following are the temperatures in °C for the first 14 days of January:
-6, -2.5, 2, 2.5, -0.5, 5, 10, -3, -7, 3, -1, 7, 1, 4.5
What is the median temperature for those 14 days?
Answer:
14.5°C
because -6+-2.5+2+2.5+-0.5+5+10+-3+-7+3+-7+3+-1+7+1=14.5
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Step-by-step explanation:
Is this some typing error? Please retype your question for assistance
Zach's pet mouse drinks 1.084 milliliters of water each week.
Round the amount of water to the nearest hundredth.
Answer:
it is 1.08
Step-by-step explanation:
it was this on khan