Answer:
Popcorn=$6
Step-by-step explanation:
1) Setting variables
d= price of drinks
p= price of popcorn
2) Writing the system of equations
10d+7p=132
2d+14p=102
3) Simplifying one equation
2d=102-14p
d=51-7p
4) Solving the other equation by plugging the first equation in
d=51-7p
10d+7p=132
10(51-7p)+7p=132
510-70p+7p=132
510-63p=132
63p=378
p=6
5) Substituting p=6 into the first equation
d=51-7p
d=51-42
d=9
how do I do this math question? Full working/explanation.
Answer:
50g sugar, 100g butter and 400g flour
Step-by-step explanation:
You need to find the ingredient that is the limiting factor, in this case it is flour, because you relatively need the most of that.
If all 400g flour is used, you need 4 times less grams of butter, since the ratio between butter and flour is 2 : 8 and they differ by a factor of 4.
That gets you 400/4 = 100g butter, so in fact you're not using 200g of the remaining butter.
Likewise, you'll need 400 / 8 grams of sugar, which is only 50g.
So at least one of the ingredients you'll completely use, the other ones you need less according to the ratio.
2) On average, 75% of the planes leave on time. If 120 planes left on time
yesterday, how many total planes were there?
Answer:
Step-by-step explanation:160
Scarlett bought 9 chicken wings for $3. What was the cost of the wings in wings per dollar? Express your answer in simplest form.
Answer:
3
Step-by-step explanation:
To find how much you can get for one dollar, you have to divide 9 by 3. If you have to find how many units can you get for one dollar, (you need to divide the larger number by the smaller)
Divide 9 by 3.
9/3=3
So, with $1, you can get 3 chicken wings.
What is the solution to the system of equations?
y= {x+3
x = -2
Answer:
y=1
x=-2
Step-by-step explanation:
You're given one, so solve for y by entering -2 (x) into it's equation.
y=x+3
y=-2+3
y=-1
The other is given, so you have your answer.
:)
Convert 7/6 to a mixed number
Answer:
[tex] 1 \frac{1}{6} [/tex]
Step-by-step explanation:
[tex]\huge \frac{7}{6} = 1 \frac{1}{6} [/tex]
Hope it helps you in your learning process.
Find the value of x. (Circles)
Answer:
x =64.5
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
The total circle is 360 degrees
The arc is 360 - 113 - 118
arc =129
x = 1/2 (129)
x =64.5
Answer:
64.5°
Step-by-step explanation:
Using the inscribed angle theorem here would help to find the value of x°.
The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
First find the arc PM. Write an equation to show that the measures of the following arcs: PQ, QM, and PM add up to 360°, since they span an entire circle. Then solve for the arc PM.
mPM + mPQ + mQM = 360°
mPM + 113° + 118° = 360°
mPM + 231 = 360°
mPM = 129°
Now, find m<Q. <Q is an inscribed angle that intercepts the arc PM, so use the Inscribed Angle Theorem.
m<Q = 1/2 * mHJ
= 1/2 ( 129 )
= 64.5°
X = 64.5 degrees.
solve the following
2(X+3)=X-4
Answer:
2(x+3)=x-4
2x+6=x-4
2x-x=-4-6
x=-10
Claire owns a local bakery and sells boxes of muffins. Each box contains 6 muffins. If she sells 7 boxes of muffins by closing time on Thursday, how many muffins did she make to fill all the boxes that she sold?
42
0.9
1
13
Answer: Claire made 42 muffins by closing time
Step-by-step explanation:
Pretty simple math just multiply 6 muffins by 7 boxes and you get your answer.
j divided by 9 is 5 , write an equation to represent the following statement
Answer:
The first answer is incorrect
Step-by-step explanation:
45 divided by 9 is 5 not 40
The equation that represents the statement is j / 9 = 5.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
The statement j divided by 9 is 5 can be written in equation form as follows:
j / 9 = 5
j = 45
To know more about Equation
https://brainly.com/question/10413253
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You spent 1/3 of your birthday money on 6 video games. If each video gamecost the same amount, what fraction of your birthday money did each video game cost?
Answer:
1/18
Step-by-step explanation:
Let x represent the total birthday money
And y the amount of each video games
Given;
You spent 1/3 of your birthday money on 6 video games
6y = (1/3)x ......1
Since each of the six video games cost the same.
The fraction of your birthday money that each video game cost is;
from equation 1, making y the subject of formula;
6y = (1/3)x
divide both sides by 6;
y = (1/3)x × 1/6 = (1/18)x
Therefore, each video game cost 1/18 of the total birthday money.
can help for this questing
1) 2)
Answer:
1. Median
2. Altitude
Step-by-step explanation:
Medians- Bisect the side (Split the side into two equal parts)
Altitude- Makes a right angle
1. Splits the side into two equal parts. Anwser: Median
2. Makes a right angle Answer: altitude
Gonna need this in like 5 hrs please help
Answer:
G. Oatmeal is the favorite type of cereal for 15% of the children
Step-by-step explanation:
Oatmeal is 15/50 of the students' favorites, so it would actually be 30% therefore it is not supported. Hope this was helpful! :)
who is the best rapper
Answer:
Eminem.
Rakim.
Nas.
Andre 3000.
Lauryn Hill.
Ghostface Killah.
Kendrick Lamar.
Lil Wayne
Step-by-step explanation:
Answer:
Logic
Step-by-step explanation:
A box is dragged 16 m across a level floor by a 25-N force at an angle of 45° to the floor. It is then dragged by
the same force 7 m up a ramp inclined at an angle of 10° to the floor. Determine the total work done by the
force.
solution
W=f×d×cos theta
=25N×16m×cos 45°
=400Nm×cos 45°
=282.84J
W=f×d×cos theta
=25N×7m×cos 10°
=175Nm×cos10°
=172.34J
Total workdone=282.84J+172.34J=455.18J
A Wallace's giant bee is 1 1/2 inches long. If this bee is four times longer than a worker bee, how
long is the worker bee?
3/8 in.
1/3 in.
1/8 in.
3/10 in.
Answer:
3/8 in.
Step-by-step explanation:
If the giant bee is four times longer than a worker bee, you'd divide the giant bee's length by 4 to get the worker bee's length. 1.5 ÷4=0.375. 0.375 is equivalent to 3/8. So 3/8 in.
Find the volume of the cone khan academy
Answer:
V= 1/3 pi*r^2*
Step-by-step explanation:
The reason the volume of a cone involves using the fraction 1/3, is because it takes three cones to fill up a cylinder. So, if the volume of a cylinder is pi*r^2*h, and a cone is 1/3 the size, then the volume of a cone(which uses the same formula) has to have the 1/3rd in front.
Fletcher eats 2/8 of a tomato.patsy eat 1/8 of some tomato .what fraction of the tomato do they eat in all
Answer:
3/8
Step-by-step explanation:
2/8 + 1/8 = 3/8
what is the factor of -12n - 20 ( 50pts!!!!!)
Answer:
-4(3n + 5)
Step-by-step explanation:
We want to factor the expression:
-12n - 20
Look at the two terms, which are -12n and -20. Obviously, they don't share an "n", but they do share another number.
Notice that -12 can be written as the product of -4 and 3: -12 = -4 * 3. Similarly, -20 can be written as the product of -4 and 5: -20 = -4 * 5. Since 3 and 5 are prime numbers, we know that -4 is the biggest factor that -12 and -20 share. So, let's factor that out of the expression:
-12n - 20 = -4 * [(-12n/-4) + (-20/-4)] = -4 * (3n + 5)
So, the factored form of this expression is -4(3n + 5).
Steps to factor:
-12n - 20
~Rewrite -12n
-4 * 3n
~Rewrite -20
-4 * 5
~Put together
-4 * 3n + -4 * 5
~Factor out -4
-4(3n + 5)
Best of Luck!
what is -4 {2 - y} + 3y = 3 {y - 4}
Write the equation of the circle graphed below.
Answer:
(x + 5)^2 + (y + 5)^2 = 16
Step-by-step explanation:
In a quadrilateral, the measure of two opposite angles is the same. Each of the other
two angles measures exactly two times the given angle. Find the measure of each angle
in the quadrilateral.
Answer:
the two opposite angles equal 45 and the other two who are twice the amount is 90
Step-by-step explanation:
sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be
x+x+2x+2x=360
8x=360
x=45
so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90
Please help!
Find the interval of convergence for:
Please note: The 2 in the picture must actually also be an exponent, so n^2^n.
Answer:
-∞ < x < ∞
Step-by-step explanation:
∑ xⁿ / n^(2ⁿ)
Apply ratio test:
lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] / [xⁿ / n^(2ⁿ)] |
lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] × [n^(2ⁿ) / xⁿ] |
lim(n→∞) | x n^(2ⁿ) / (n+1)^(2ⁿ⁺¹) |
0
The series converges for all values of x.
PLEASE HELP!! Which diagram best models 2x3 + x2 + 3x + 4?
Answer:
O lol top right still
Step-by-step explanation:
The pig pen below has a width of 7 feet and a length of 4 feet. What is the area of the pig pen. Show your work and remember that area is in square units. Hog Pen with Cover: Little Buster Toys
Step-by-step explanation:
It sounds like you are looking for a rectangle.So to find the area you would multiply 7 by 4 to get 28 square feet for the area.
can you please help me fill this out thanks
Answer:
30 mm
Step-by-step explanation:
There are 4 sides to this parallelogram. Two of the sides have 3 mm as the length and the other two have 12 mm.
2 (3 mm) + 2 (12 mm)
= 6 mm + 24 mm
= 30 mm
Answer:
30
Step-by-step explanation:
Since the long side that is blank is the same length of 12 and the short side is the same length of 3.
12+12=24
3+3=6
24+6=30
10/root 11 minus one
Answer:
1100
Step-by-step explanation:
I just guessed!
helpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones
Answer:
We are looking for 2 numbers that have a product of 72 and a sum of 17. These 2 numbers are 9 and 8. Therefore, the factored version would be (z + 9)(z + 8), or A.
Hope this helps!
What is the solution of the systems of equations? Y=3x-4 and -3y=-9x+12
Answer: it has infinite solutions.
Step-by-step explanation:
[tex]y=3x-4\\-3y=-9x+12[/tex]
Plug y in the second equation.
[tex]-3y=-9x+12\\-3(3x-4)=-9x+12\\-9x+12=-9x+12\\-9x+9x=12-12\\0=0[/tex]
A bag contains marbles of four different colors listed below. What is the probability of picking a BLUE marble at random out of the bag?
8 blue marbles, 24 red marbles, 16 green marbles, 4 yellow marbles.
~
1) 8/100
2) 2/13
3) 6/13
4) 4/13
Step-by-step explanation:
Total marbles = 24 + 8 + 16 + 4 = 52
Probability of blue marble = 8/ 52 = 4 / 26 = 2 / 13
Option 2 is the correct answer
Jessi has 9 feet of blue fabric. She need one third of that amount in red fabric. The fabric store sells fabric by the yard. How much fabric does Jessie need to buy?
Answer:
1 yard
Step-by-step explanation:
Let b represent the amount of blue fabric and r represent the amount of red fabric.
Given;
Jessi has 9 feet of blue fabric
b = 9 ft
She need one third of that amount in red fabric.
r = 1/3 × b
Substituting the value of b;
The amount of red fabric needed r is;
r = 1/3 × 9 = 3 ft
Since they sell in yards , we need to convert it to yards.
1 yard = 3 feets
Therefore,
r = 3 ft × 1/3 yard per ft
r = 1 yard
