Answer:
Madelyn bought 2 bags of popcorn and 8 pretzels.
Step-by-step explanation:
Madelyn and her children went into a movie theater and she bought $39 worth of bags of popcorn and pretzels. Each bag of popcorn costs $6.50 and each pretzel costs $3.25. She bought 4 times as many pretzels as bags of popcorn. Graphically solve a system of equations in order to determine the number of bags of popcorn, x,x, and the number of pretzels, y,y, that Madelyn bought.
\underline{\text{Variable Definitions:}}
Variable Definitions:
x=
x=
\,\,\text{the number of bags of popcorn}
the number of bags of popcorn
y=
y=
\,\,\text{the number of pretzels}
the number of pretzels
One bag of popcorn costs $6.50, so xx bags of popcorn cost 6.50x.6.50x. One pretzel costs $3.25, so yy pretzels cost 3.25y.3.25y. The total 6.50x+3.25y6.50x+3.25y equals \$39:$39:
6.50x+3.25y=39
6.50x+3.25y=39
Since Madelyn bought 4 times as many pretzels as bags of popcorn, there are more pretzels, so if we multiply 4 by the number of bags of popcorn, we will get the number of pretzels, meaning yy equals 4x.4x.
y=4x
y=4x
\underline{\text{Write System of Equations:}}
Write System of Equations:
6.50x+3.25y=
6.50x+3.25y=
\,\,39
39
y=
y=
\,\,4x
4x
\underline{\text{Solve for }y\text{ in each equation:}}
Solve for y in each equation:
6.50x+3.25y=39
3.25y=−6.50x+39
3.25
3.25y
=
3.25
−6.50x+39
y=−2x+12
y=4x
0
the number of bags of popcorn
the number of pretzels
x
y
(2, 8)
0
the number of bags of popcorn
the number of pretzels
The xx variable represents the number of bags of popcorn and the yy variable represents the number of pretzels. Since the lines intersect at the point \left(2, 8\right)(2,8) we can say:
Madelyn bought 2 bags of popcorn and 8 pretzels.
The actual length of Wall C is 4 m. To represent Wall C, Noah draws a segment 16 cm long. What scale is he using? Explain or show your reasoning.
Find another way to express the scale.
Answer:
Step-by-step explanation:
I ha d the same question! what I’ve been seeing is 1 m = 4 cm if it makes sense ..
If m∠ABC = 45° and m∠ECD = 45°, which statement explains whether the AA similarity postulate can be used to determine whether ΔBAC ~ ΔEDC?
answers:
Yes, the AA similarity postulate can be used because a reflection over line f will establish that segment AB ≅ segment DE.
Yes, the AA similarity postulate can be used because a reflection over line f will establish that ∠ABC ≅ ∠DEC.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that segment AB and segment DE are not congruent.
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Answer:
B would be the answer
Step-by-step explanation:
If you reflect the triangle ABC onto EDC then you will see that they are congruent and equal.
this means that <ABC ~ <EDC
The AA postulate states that if two corresponding angles of two or more triangles are congruent then the triangles are similar. If you translate ABC onto EDC you can see that all of the angles let alone two are all congruent thus proving that ABC = EDC
Pls mark brainliest if I helped.. Thanks:)
Option (B) is the correct answer.
What is AA postulate?According to the AA postulate, triangles are comparable if two matching angles of two or more triangles are congruent.
Given that,
∠ABC = 45° and ∠ECD = 45°
Angle-Angle or AA similarity postulate,
When triangle ABC reflect onto EDC, then triangle will be congruent and equal.
Implies that ΔABC ≅ ΔDEC.
Hence, option (B) is the correct answer.
To know more about AA postulate on:
https://brainly.com/question/2819482
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Adding fractions
1/5 + 2/22
Answer:
16/55
Step-by-step explanation:
Answer: 16/55
Step-by-step explanation:1
5
+
2
22
=
1 × 22
5 × 22
+
2 × 5
22 × 5
=
22
110
+
10
110
=
22 + 10
110
=
32
110
=
32 ÷ 2
110 ÷ 2
=
16
55
F(X) = 2X -7 Find F(-1)
Answer:
f(-1)=-9
Step-by-step explanation:
f(x)=2x-7
f(-1)=2(-1)-7
f(-1)=-2-7
f(-1)=-9
Subtract --4x2 + 3x - 7 from 8x2 + 2x - 3
Answer:
23
Steps ig
((8x2) +2x(-3)))-(((-(-4)) x 2) +( 3 x( -7)) =23
1, 2, 3, 5, 8, ____, ____, ____ Give the next three numbers in the pattern.
Answer: 10, 12, 14 are the next numbers
Explanation:
Please let me know WHY you choose your answers please, I want to understand this more.
Answer:
A. no
B. yes
C. yes
Step-by-step explanation:
A. not enough information is given other than the fact that ∠E ≡ ∠B (45°)
B. SAS (side angle side). To make ∠ABC into ∠DEF, you need to multiple the side lengths in ∠ABC by 3/2
12/x = 8 .... rearrange .... x = 3/2
C. AA (angle angle). ∠A is congruent to ∠Y and this is given by those two lines. ∠B is congruent to∠Z and this given because it has one line. This means that the other angle (C and X) would be congruent.
what is the formula of polygons of triangle?
PLEASE HELP. "ANSWER ONLY IF YOU KNOW THE ANSWER"
Answer:
The x intercepts are (-5, 0) and (2, 0)
The y intercept is (0, -10).
Step-by-step explanation:
The x intercepts are (-5, 0) and (2, 0)
When you set the numbers x + 5 and x - 2 equal to zero, you solve for x and that becomes the x-intercept.
The y intercept is (0, -10).
When you multiply the numbers, you result in [tex]x^{2} +3x - 10[/tex].
Then, set the x values to 0 and evaluate. That leaves you with -10, which is the y-intercept.
Find the sum
-13.6 + (-14.4)
Answer:
-28
Step-by-step explanation:
Answer:
→The sum of -13.6 + (-14.4) is -28.
place these numbers from least to greatest. ( PLS HELP!)
Answer: second option
Step-by-step explanation:
Sqrt 3= 1.73
Sqrt 6= 2.45
pi= 3.14
Which statement that follows is true?
Answer:
=
Step-by-step explanation:
32 ounces of maple syrup for $3.99 OR 48 ounces of syrup for $4.99
Answer:48-32=16 so you get 16 more oz. of maple syrup for $1 more so the answer is 48 ounces for $4.99.
Step-by-step explanation:
slope of (-7,8) (-7,5)
what is 3298.96907216 to the nearest thousand
Answer:
3298.96907216 is nearest to 3000
A car has a 16-gallon fuel tank. When driven on a highway, it has a gas mileage of 30 miles per gallon. The gas mileage (also called "fuel efficiency") tells us the number of miles the car can travel for a particular amount of fuel (one gallon of gasoline, in this case). After filling the gas
tank, the driver got on a highway and drove for a while.How many miles has the car traveled if it has 10 gallons of gas left in the tank?
and write an equation that represents the relationship between the distance the car has traveled in mikes, d, and the amount of gas left in the tank in gallons, x
Answer:d=(16-x)30
Step-by-step explanation:
The car traveled 600 miles if it has 10 gallons of gas left in the tank.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that is equal.
To determine the equation that represents the relationship between the distance traveled by car and the amount of gas left in the tank.
Let the distance traveled by car would be d miles,
and the amount of gas left in the tank would be x gallons
Since the car had a 16-gallon fuel tank
So the amount of gas left in the tank would be 16 - x
When driven on a highway, it has a gas mileage of 30 miles per gallon.
To find the equation of the distance we have to calculate the product of gas left in the car and the mileage of the car.
So the required equation as:
⇒ d = (16-x)30.
If it has 10 gallons of gas left in the tank
Substitute x = 10 in the above equation, we get
⇒ d = (16-10)30.
⇒ d = (20)30.
⇒ d = 600.
Therefore, the car traveled 600 miles if it has 10 gallons of gas left in the tank.
Learn more about the equation here:
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Y is between X and Z, XZ = 14, and YZ = 11.4. Find XY.
Need help Asap, Tysm if you respond!!
Answer:
20
Step-by-step explanation:
insert those variable values like this
[tex]( 4 + 8) {}^{2} \div 4 - 2(8)[/tex]
if you want more explanations pm me
Purpose is important because it reminds you why you're doing what you're doing when things get tough
O True
O False
PLZ HELP!
in a survey, 25 out of 200 students are planning to vote for Susie for class president. If there are 1,000 students voting, how many votes would Susie expect?
Answer:
125 votes
Step-by-step explanation:
Set up a proportion.
[tex]\frac{25}{200} =\frac{x}{1000}[/tex]
Cross-multiply. Solve for x.
[tex]25,000=200x\\25,000/200 = 200x/200\\125=x[/tex]
Susie can expect 125 votes.
What is the slope of (-2,-6) and (-7,-5)?
Answer:
= -1/5
Step-by-step explanation:
To find the slope we use
m = ( y2-y1)/(x2-x1)
= ( -5 - -6)/(-7 - -2)
( -5 +6)/(-7 +2)
1/-5
= -1/5
Answer:
-1/5
Step-by-step explanation:
Y2 - Y1 / X2 - X1
-6 - -5 / -2 - -7
Convert: -6 + 5 / -2 + 7
-1/5
Hope that helps!
A
B
The transformation shown is a reflection.
True
False
Answer:
There is no photo to go off of
Step-by-step explanation:
Answer:
There isn't a photo so how we suppost to answer this..?
Step-by-step explanation:
The following boxplot shows the typical gas mileage, in miles per gallon, for 20 different car models.
Fa
fol
Br
50
++ +
++
10 20 30 40
Typical Gas Mileage
(Miles Per Gallon)
Due:
Based on the boxplot, the top 25 percent of the cars have a typical gas mileage of at least how many miles per gallon?
Not entirely sure but it may be 35 mpg.
find the area of a rectangle with lenght ( x + 3 ) units and breadth ( x -2) units
PLEASE! I WILL GIVE BRAINLIEST THIS IS DUE TONIGHT! Alicia analyzes the quadrilaterals shown on the coordinate plane. Which equation could Alicia use to show that these two shapes are congruent?
Elena wants to buy a jacket that is originally priced at x dollars.
The price of the jacket is discounted by 30%.
The expression that represents its
discounted price is 0.7x.
Which of the following expressions represents another way to show the discounted price of the jacket?
Answer:
Step-by-step explanation:
If 0.7x represents the discounted price, then another way to show this is:
x+70%
[tex]\frac {a} {x} = \frac {70} {100}[/tex]
x-30%
x÷0.3
what is 5*5+100-99*76
Answer:
-7399
Step-by-step explanation:
mark me brainiest please
Answer:
-7399
Step-by-step explanation:
5*5+100-99*76
25 + 100 - 7524
= -7399
18.79+2.11+(-1.92)+17.28
Answer:
36.26
Step-by-step explanation:
Hope this helps. Plz give brainliest.
Answer:
36.26
Step-by-step explanation:
Kaylee is selling candles to raise money for her lacrosse team. The large candles sell for $25 each and the
small candles sell for $10 each. She needs to raise $600. Write a function to represent how many of each type of candle Kaylee needs to sell. Let x represent the number of large candles, and let y represent the number of
small candles
Answer:25(20)+10(10)=600
X Y
Step-by-step explanation: sell 20 (X) Large candles and sell 10 (Y) small candles
Given the function:
f (x) = (3 x + 4) minus (2 minus x)
Evaluate for f (5).
a.22
b.15
c.16
d.30
Answer:
A
Step-by-step explanation: