Taking into account the definition of a system of linear equations, the amount of adult tickets sold was 125.
System of linear equationsA group of two or more first-degree equations, whereby two or more unknowns are connected, is known as a system of linear equations.
Finding the value of each unknown is necessary to solve a system of equations and verify that all of the equations are satisfied. That is to say, it is necessary to find the values of the unknowns since, when substituted, they must result in the suggested solution in both equations.
Amount of adults tickets soldIn this case, a system of linear equations must be proposed taking into account that:
"a" is the amount of adults tickets sold."s" is the amount of student tickets sold.You know:
A total of 375 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold.The system of equations to be solved is
s= 2×a
s + a=375
There are a number of ways to solve an equation system; nevertheless, it is decided to use the substitution method, which involves clearing one of the two variables from one of the equations in the system and replacing it with its value in the other equation.
In this case, substituting the first equation in the second you get:
2×a + a= 375
Solving:
3×a= 375
a= 375÷ 3
a= 125
Finally, the amount of adult tickets sold was 125.
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Melanie prepared 7 1/2 tablespoons of her spice mixture she is 1/4 tablespoon to make a batch of barbecue sauce estimate the number of batches of barbecue sauce she can make by using the spice mixture
Answer: There are 30 batches of barbeque sauce that she can make by using the spice mixture.
Step-by-step explanation:
Since we have given that
Number of tablespoons of her spice mixture = [tex]7\dfrac{1}{2}=\dfrac{15}{2}[/tex]
Number of tablespoons to make a batch of barbeque sauce = [tex]\dfrac{1}{4}[/tex]
so, the number of batches of barbeque sauce would be
[tex]\dfrac{15}{2}\div \dfrac{1}{4}\\\\=\dfrac{15}{2}\times 4\\\\=15\times 2\\\\=30[/tex]
Hence, there are 30 batches of barbeque sauce that she can make by using the spice mixture.
Marcus sorts his 85 baseballs cards into stacks of 9 cards each. How many stacks of 9 cards Marcus make
Marcus can make 9 full stacks.
To determine how many stacks Marcus can make, we need to perform a division of the total number of baseball cards by the number of cards per stack.
Total number of baseball cards: 85.
85 ÷ 9.
= 9 (with a remainder of 4.)
This means Marcus can make 9 full stacks of 9 cards each with 4 cards left over.
write a related subtraction fact for 7+3=10
Step 1. Create a scenario that leads to an inequality of the form ax + b > c. You can use any of the inequality symbols (>, ≥, <, ≤) in your inequality. For this step, just write the word problem.
Step 2. Write the inequality and show all work to solve the inequality.
Step 3. Graph the solution to your inequality on a number line.
Step 4. Explain what your solution means in the context of the problem.
1 -A company has 10 acres of land for their company headquarters. They want to increase their headquarters to at least 56 acres of land. How many acres can the company purchase.
2- 10 acres + X ≥ 56 acres
-10 -10
----------------------------
0 46
X = 46
3- ß---|--------------------------------------------------------------à
46
4- 46 is the amount of acres the company needs to buy in order to get at least 56 acres added
help me please and thanks
Suppose both employees work the same amount of time determine which employee earns more money
-3(y-5)=24 What is y ?
Given f(x)=4x^2-3x+1 and g(x)=2x-5 , find f(x)+g(x) .
A.) 4x^2-5x+6
B.) 4x^2-x+6
C.) 4x^2-5x-4
D.) 4x^2-x-4
73 is 20% of what number
After a car is purchased, the value of a new car decreases $4000 each year. After 3 years, the car is worth $18000.
Write an equation that represents the value V (in dollars) of the car x years after it is purchased.
Answer:
Original - 4000x
so, after 3 years we have:
Original - 12000 = 18000
=> Original = $30,000
Step-by-step explanation:
At 2:30 am the temperature in Joelle is 3 F. The temperature drops 3/4 of a degree in 30 min. What is the temperature on Joelle at 3:00am?
Answer: B. [tex]=2.25^{\circ}F[/tex]
Step-by-step explanation:
Given: At 2:30 am the temperature in Joelle is 3 F.
The temperature drops 3/4 of a degree in 30 min.
3/4 of a degree= [tex]\frac{3}{4}\times1^{\circ}F=\frac{3}{4}=0.75^{\circ}F[/tex]
Therefore, the temperature on Joelle after 30 min= [tex]3^{\circ}F-\frac{3}{4}\ of\ 1^{\circ}F[/tex]
[tex]=3^{\circ}F-0.75^{\circ}F[/tex]
[tex]=2.25^{\circ}F[/tex]
Thus, the temperature on Joelle at 3:00am=[tex]=2.25^{\circ}F[/tex]
OF bisects EOF. EOF=y+30 and FOG=3y-50. solve for y.
Setting the given equations equal to each other, we can solve for y and determine that y equals 40.
Explanation:The question states that OF bisects EOF, which means that EOF and FOG are equal. Hence, you can set the two equations equal to each other to solve for y.
EOF = y + 30FOG = 3y - 50Set EOF equal to FOG:
y + 30 = 3y - 50
To solve for y, first simplify the equation by subtracting y from both sides:
30 = 2y - 50
Then add 50 to both sides to isolate the y variable on one side:
80 = 2y
Finally, divide both sides by 2 to solve for y:
y = 40
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A submersible vessel at an elevation of -95 feet descends to 5 times that elevation. What is the vessel's new elevation?
Answer:
aaa
Step-by-step explanation:
Which ordered pairs are a solution are a solution to the equation?
y = 8x
Select all that apply
a) (3, -24)
b) (2,16)
c) (1,8)
d) ( -16,-2)
e) (-3,-24)
Determine the better buy by comparing unit rates.
1. 20 pens for $1.60 or 25 pens for $2.25
2. 13 berries for $2.60 or 17 berries for $3.06
The shelf is made of 3 pieces of wood, each 0.3 meter wide. There is also 0.05 meter of space between the shelf and the wall on each side. What is the width, in meters, of the closet?
A. 0.4
B. 0.8
C. 1
D. 1.9
The correct answer is: C: 1 meter. The closet width is 1 meter, including the contribution from the three pieces of wood and the spaces on each side.
To determine the width of the closet, we need to add up the widths of the three pieces of wood and the spaces on each side.
Given:
- Width of each piece of wood: 0.3 meters
- Number of pieces of wood: 3
- Space on each side between the shelf and the wall: 0.05 meters
Now, calculate the total width:
[tex]\[ \text{Total Width} = (\text{Width of one piece of wood} \times \text{Number of pieces of wood}) + (\text{Space on one side} \times 2) \][/tex]
[tex]\[ \text{Total Width} = (0.3 \times 3) + (0.05 \times 2) \][/tex]
[tex]\[ \text{Total Width} = 0.9 + 0.1 \][/tex]
[tex]\[ \text{Total Width} = 1 \, \text{meter} \][/tex]
The width of the closet is 1 meter, considering the combined width of the three pieces of wood and the spaces on each side.
Therefore, the correct answer is: C: 1 meter. The closet width is 1 meter, including the contribution from the three pieces of wood and the spaces on each side.
what is the equation of the line graph
list the independent and dependent variables for each situation:
(a) my height depends on my age.
(b) the amount of sleep I get determines what mood I am in.
(c) the amount of water in a bathtub is a function of the amount of time the water has been running.
(d) my distance from home varies with my speed.
(e) the amount of homework I do affects my average speed.
(f) the amount of homework I do depends on how much is assigned.
Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in your final answer.
Answer:
y-5=-1/2(x+3)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(4-5)/(-1-(-3))
m=-1/(-1+3)
m=-1/2
y-y1=m(x-x1)
y-5=-1/2(x-(-3))
y-5=-1/2(x+3)
the line has the same slope as 3x-y=5 and the same y-intercept as the graph of 4y-7x=16
what is the equation in standard form?
plot -1 1/3 on a number line
The graph shows the number of jam jars filled by two different machines over several minutes. A graph measuring number of jars and time. Two lines, labeled Machine A and Machine B, exit the origin to show that distance increases as time increases The equation y = 3x represents the number of jars, y, Machine A fills in x min. Which equation could represent the number of jars filled by Machine B?
y = 1.5x
y = 3x
y = 6x
y = 8x
-4(3x-1)=12-8x and plz show how you got it
Round 0.955 inches to the nearest tenth of an inch
The nearest tenth is the first digit after the decimal point. The round 0.955 inches to the nearest tenth of an inch is 1.0 inches.
Given 0.995 inches
round to the nearest tenth of an inch.
This means round to the nearest first decimal point and to include the actual first decimal point (and that decimal point only, the tenth place).
We are given the number 0.955. This is given to the nearest thousands.
We examine the tenth place at 0.9.
So we know our choices are
What is the nearest tenth?The nearest tenth is the first digit after the decimal point.
0.9 (round down to the nearest tenths place) or 1.0 (round up to the nearest tenths place).
We examine the number 0.955 and look to the next value, the hundredths place
If that digit is 5 or greater we round up and the correct answer is 1.0.
If that number is 4 or less (i.e. 0 to 4), we round down and the correct answer is 0.9.
In the case of our give value: 0.955.
The digit to the right of 9 is 5 so, as previously mentioned,
we round up to 1.0.
Therefore, The round 0.955 inches to the nearest tenth of an inch is 1.0 inches.
The answer is 1.0 inches.
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I am a fraction equivalent to 2/5. My numerator is 21 less than my denominator. What fraction am I?
which quadrant is the point (5.2,-1.7) Located?
IV
II
III
I
A student has a daily reading productivity levels of 1 chapter while at a computer lab, 5 chapters while at a coffee shop, and 7 chapters while at the library. If 1/7 of the day is spent at a computer lab, 5/14 at a coffee shop, and 1/2 at a library, what is the total daily reading productivity level of the students?
The total daily reading productivity level of the students is 1 .
It is required to find the total daily reading productivity level of the students.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
GIven:
computer lab= 1 chapter
coffee shop=5 chapters
library shop=7 chapters
According to given question we have,
1/7 + 5/14 +1/2
= 2/14 + 5/14 + 7/14
=14/14
=1
Therefore, the total daily reading productivity level of the students is 1 .
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10 people want to share 84 pounds of candy so that each person gets the same amount. Exactly how many pounds of candy should each person get?
Which table shows a proportional relationship between x and y? x 1 5 8 10 y 15 75 120 150 x 4 6 8 10 y 6 8 10 12 x 3 9 10 15 y 1 3 4 5 x 2 3 5 6 y 3 4 7 9
what is 3/4× 4/5÷1/4÷1/2