Ava and her children went into a movie theater and she bought $48 worth of drinks
and candies. Each drink costs $4 and each candy costs $3. She bought 2 more candies
than drinks. Graphically solve a system of equations in order to determine the
number of drinks, x, and the number of candies, y, that Ava bought.
Answers
Answer:
She got 12 drinks
and 14 candies!
The number of candies is 24 and number of drinks are 24.
What is linear equation?An equation between two variables that gives a straight line when plotted on a graph.
Given that, Ava and her children went into a movie theater, and she bought $48 worth of drinks and candies. Each drink costs $4 and each candy costs $3. She bought 2 more candies than drinks.
According to question,
4x+3y = 48
x-y = -2
Solving the equation graphically,
4x+3y = 48
Put x = 0, y = 16 (0, 16)
Put x = 12, y = 0 (12, 0)
x-y = -2
Put x = 0, y = 2 (0, 2)
Put x = -2, y = 0 (-2, 0)
Plotting the graph, we get, (attached)
The lines of the equations are intersecting at (6, 8)
Therefore, x = 6 and y = 8
Hence, the number of candies = 8*3 = 24 and number of drinks = 4*6 = 24
For more references on linear equations, click;
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Related Questions
I need help, pls !!!
Answers
Answer:
D) 11.2 Orange
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-8, -1)
Point (-3, 9)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute [DF]: [tex]\displaystyle d = \sqrt{(-3+8)^2+(9+1)^2}[/tex]Add: [tex]\displaystyle d = \sqrt{(5)^2+(10)^2}[/tex]Exponents: [tex]\displaystyle d = \sqrt{25+100}[/tex]Add: [tex]\displaystyle d = \sqrt{125}[/tex]Simplify: [tex]\displaystyle d = 5\sqrt{5}[/tex]Evaluate: [tex]\displaystyle d = 11.1803[/tex]Round: [tex]\displaystyle d = 11.2[/tex]
John had $55 He spent $3 per day for nine days. Then he was given $12 to divide equally between himself and his two cousins. John used the following expression to calculate the ar
after splitting the money with his cousins
Based on this expression, what is the amount of money John had remaining?
Answers
Answer:
$32
Step-by-step explanation:
55-(9•3)+4
Discounts and what is the outcome
Answers
Answer:
with discount+tax= $23.15
Step-by-step explanation:
board game is 25
discount: 15%
tax: 7.5%
discount means you take off that amount
tax means you add that amount
discount: 15% off
tax: +7.5%
to find 15% of 25 multiply 25 by 15% (15/100=0.15)
25*0.15
= 3.75
then subtract that from 25
25-3.75
=21.25
tax:
0.075*25
=1.875
~1.9
21.25+1.9
=23.15
m
Select the correct answer.
1
6
1)2
12
Which expression is equivalent to 12
12 + I
I - 6
61 + 5 if no denominator equals zero?
I
2
1
1
O A.
H
B.
12 — 31 + 2
12 91 + 20
12 + I 2
12 1- 20
12 31 + 2
12
20
12 + 31 + 2
12 + 1 - 20
C.
D
--
D.
Reset
Next
Answers
Write 2 min : 1.5 min as a fraction
Answers
Step-by-step explanation:2=120 1.5=90
[tex]therefore =3/4[/tex]
Which statement illustrates the commutative property of addition?
A. (8i + 4) + (-8i – 4) = 0
B. (8i)- (-8i)= 0
C. 8i + 4 = 4i + 8
D. 8i + 4 = 4 + 8i
Answers
Answer:D
Step-by-step explanation:its the same thing but the numbers are flipped, you get the same answer either way.
The statement that illustrates the commutative property of addition is
8i + 4 = 4 + 8i. The correct option is D.
What is the commutative property of addition?The commutative property of addition:
Let a and b are numbers.
a + b = b + a
The change in the position of two numbers in an addition operation does not change the sum.
The commutative property of addition:
Let a and b are numbers.
So, a + b = b + a.
LHS = 8i + 4
= 2 (4i+2)
= 2(2 + 4i)
= 4 + 8i
That means, 8i + 4 = 4 + 8i holds the commutative property of addition.
Therefore, the equation is 8i + 4 = 4 + 8i.
To learn more about the commutative property;
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help please what type of angle is this, and what is x?
Answers
Answer:
50 Pick me brainliest
Step-by-step explanation:
Answer:
x = 50
Step-by-step explanation:
These angles are vertical angles. Vertical angles are congruent to each other. Therefore, 3x° = (2x+50)°
Subtract 2x from each side.
x=50
Select the best answer for the question,
15. How many pages does a good résumé have?
Answers
Answer:
Two
Step-by-step explanation:
Most likely answer
What is the slope of the linear function
graphed below?
Answers
Answer: C
Step-by-step explanation:
Evaluate the expression you got in part d for b = 8.
Answers
Answer:
b/2-3
8/2-3(substituting B=8)
8/-1
-8
Step-by-step explanation:
eheh
how dose north america achieve 480VAC with 3 pole 120VAC
Answers
Answer:
There are a variety of factors driving the
adoption of 415/240VAC distribution. First,
distributing at these increased voltages
enables overall efficiency to be enhanced
by eliminating the need for a voltage
transformation along the power path. For
example, in a 415V system, the L-N voltage
is 240V, which is compatible with most all IT
loads. By shifting the UPS output distribution
voltage to 415/240 V three-phase (L-L/
L-N), most of the existing servers today can
be powered with 240V single-phase (L-N)
without any intermediate transformation.
Removing the need for a transformer
streamlines the power path and can increase
efficiency approximately 1.5 percent.
The adoption of a 415/240VAC distribution
model also can yield additional savings at
the device-level in the form of increased
efficiency for server power supplies. As
previously mentioned, today’s power
supplies can handle a wide range of incoming
voltages. Based on the actual voltage being
fed into the power supply, efficiencies can
range from as low as 80 percent (at 100V
nominal) to as much as 94 percent (at 240V
nominal) across all manufacturers.
Furthermore, while the typical efficiency
differential between 240V and 208V gained
at the server power supply today is a relatively
minimal, only 0.3 percent across most of
the load range, the efficiency differential
between 240V and 120V servers can be as
much as 2 percent for a given power supply.
It is this value that often gets overstated by
some manufacturers when comparing 415V
distribution to “traditional methods,” as
there are relatively few servers or peripherals
installed today that are operating at 120V.
Step-by-step explanation:
I don't understand can someone help me PLZ
Answers
Answer:
1/2
Step-by-step explanation:
the circle has 8 pieces so that's how you get the denominator
you count how many A's there are and that is your numerator
so now 4/8 and reduce to get a half
Suppose that out of 10 trees planted in a yard, only five survived. What kind of hypothesis could you make about this observation or event
Answers
Answer: The condition to which the trees were exposed played a part in their inability to survive.
Step-by-step explanation:
From the report given in the question, we can hypothesize on a number of grounds as to why only 5 of the 10 trees survived. Hypothesis is very common in statistical parlance as it could be referred to as a claim about a particular event which is only inferred and has not been proved either wrong or right. This hypothesis or claim are further scrutinized or tested in other to establish a fact or validity of the claim. Hence, we could infer that the reason why only 5 of the trees planted survived is due to harsh weather condition. However, this claim will be subjected to further test before establishing the truth or significance of the hypothesis.
a charter bus holding 80 passengers costs $59.50 an hour. If a round trip took 5 hours, what did it cost each passenger (round to the nearest cen
Answers
Answer:
$23,800
Step-by-step explanation:
59.5 x 5 x 80 = $23,800
11 blue eyed children for every 15 brown
eyed children. Write two ratios to represent
this information,
Answers
Answer:
the ratio would be 2:2 because there is two heterozygous brown eyed children and 2 are full recessive blue for the phenotype and for the genotype it would be 2 Bb : 2 bb
Step-by-step explanation:
Solve the equation -3 = -13 – 5x for x. A. -2 B. -1 C. 0 D. 1
Answers
-3 = 13 - 15x | subtract -13 on both sides
-16 = 15x | divide 15 on both sides
-1 = x | final answer is B. -1
E(-2,-1), F(-1,1). G(2,0)
E'(-5.-2.5). F'(-2.5,2.5), G' (5,0)
Answers
Answer:
Step-by-step explanation:
E =1.3
The circumference of a roll of party streamers is 11 inches. The circumference decreases by 3 inches after you use the streamers to decorate for a birthday party. Find the diameter of the roll after the decrease. Round your answer to the nearest hundredth.
Answers
Answer:
2.54 inches
Step-by-step explanation:
1490 thousand help me get that number because I can't find them
Answers
Answer:
1,490,000
Step-by-step explanation:
Answer:
1490000?
Step-by-step explanation:
Question 5 options:
Solve for the value of x.
3x - 4 = 8
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
3x - 4 = 8
3x - 4 + 4 = 8 +4
3x = 12
x = 4
Find the value of 14/8 + 15/12
Answers
Answer:
The value of [tex]\frac{14}{8} + \frac{15}{12}[/tex] = 3
Step-by-step explanation:
Explanation
Given [tex]\frac{14}{8} + \frac{15}{12}[/tex]
L.C.M 8 , 12 is 24
[tex]\frac{14}{8} + \frac{15}{12} = \frac{14 X 3 + 15 X 2}{24}[/tex]
= [tex]\frac{42 +30}{24} = \frac{72}{24} = 3[/tex]
Final answer:-
The value of [tex]\frac{14}{8} + \frac{15}{12}[/tex] = 3
. Complete the congruence statement.
. Complete the congruence statement.
. Complete the congruence statement.
. Complete the congruence statement.
Answers
Answer:
Step-by-step explanation:
Bad=360-118*2-62=360-236-62=360-298=72°
SOS! Can some please help me!
Answers
Answer:
8.9
Step-by-step explanation:
1. DE:BC=AD:AB
2. AD=AB+BD, but according to the conditions AB=5, then
AD=5+BD.
3. after the substitution DE=16; BC=9; AB=5 and AD=5+BD into the formula:
16:9=(5+BD):5;
[tex]\frac{16}{9} =\frac{BD+5}{5};[/tex]
BD=80/9 - 5≈3.9.
4. if AD=AB+BD, then AD=5+3,9=8,9
Answer:
8.9 is your answer to the question
PLEASE HELP its multiple choice i’ll mark brainliest and i added a couple points
Answers
Answer:
i think it the third one but i don't know i'm not in collage math class so...
Step-by-step explanation:
Please help ASAP !! Via the photo below
Answers
Answer:
y-3 = -4 (x-1)
Step-by-step explanation:
y= -4x - 5
In slope-intercept form, they give us the slope, -4, and the y-intercept, -5 (we don't need for point-slope form).
Use the point (1,3) and substitute it into the equation.
Point-slope form: y-y1 = m(x-x1)
y-3 = -4 (x-1)
A recipe for waffles calls for 2 cups of flour and 3 teaspoons of baking powder.
Jason uses 4 cups of flour.
How much baking powder should he use?
5 teaspoons
6 teaspoons
8 teaspoons
12 teaspoons
Answers
Answer:
The answer would be 6 teaspoons
Answer:
6 teaspoons my guy.
Took da test
Step-by-step explanation:
What is one third time two hundred twenty two?
Answers
Answer:
74
Step-by-step explanation:
Hope this helps
1.8 divide by 0.72 explain
Answers
Answer:
0.40
Step-by-step explanation:
Change the divisor 1.8 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
7.2 ÷ 18 = 0.40
and therefore:
0.72 ÷ 1.8 = 0.40
Both calculated to 2 decimal places.
Find x in the following triangle
Answers
Answer:
hope it helps, twanks you (owo)
Step-by-step explanation:
Solving for X in a Right Triangle
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X
Evaluate the function g(x) = -2x2 + 3x - 5 for the input values -2, 0, and 3.
9(-2) = -2(-2)2 + 3(-2) – 5
9(-2) = -2(4) - 6 - 5
g(-2) =-19
g(0) =-5
g(3) =-14
Answers
Answer:
g(-2) = -19, g(0) = -5 and g(3) = -14
Step-by-step explanation:
The given function is :
[tex]g(x) = -2x^2 + 3x - 5[/tex] ...(1)
We need to find the function when x = -2,0 and 3.
Put x = -2 in equation (1).
[tex]g(-2) = -2(-2)^2 + 3(-2) - 5\\\\=-19[/tex]
Put x = 0 in equation (1).
[tex]g(0) = -2(0)^2 + 3(0) - 5\\\\=-5[/tex]
Put x = 3 in equation (1).
[tex]g(3) = -2(3)^2 + 3(3) - 5\\\\=-14[/tex]
Hence, g(-2) = -19, g(0) = -5 and g(3) = -14