The number of lower bowl seats an upper bowl seats tickets to the local basketball arena bought by group is 53 and 70 respectively.
What is system of equation?A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
Tickets to the local basketball arena cost $54 for lower bowl seats and $20 for upper bowl seats. A large group purchased 123 tickets at a cost of $4,262.Let the number of lower bowl seats purchased by group is x and upper bowl seats is y. As number of ticket purchased is 123. Thus,
[tex]x+y=123[/tex]
Solve it further,
[tex]x+y=123\\x=123-y[/tex] ....1
The total cost of ticket is 4262. Thus,
[tex]54x+20y=4262[/tex]
Put the value of x in this equation,
[tex]54(123-y)+20y=4262\\6642-54y+20y=4262\\-34y+20y=4262-6642\\-34y=-2380\\y=\dfrac{2380}{34}\\y=70[/tex]
Put this value in equation 1,
[tex]x=123-70\\x=53[/tex]
Thus the number of lower bowl seats an upper bowl seats tickets to the local basketball arena bought by group is 53 and 70 respectively.
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Terri Clifford bought a Sunday dress for $36. The sales tax was 6%. Find the total cost of the dress.
Which equation shows how to find the product of 100,000 and 1,000,000 using scientific notation?
A) 100,000 × 1,000,000 = (1 × 10^5) × (1 × 10^6) = 1 × 10^(5 + 6) = 1 × 10^11
B) 100,000 × 1,000,000 = (1 × 10^5) × (1 × 10^6) = 1 × 10^(5 × 6) = 1 × 10^30
C) 100,000 × 1,000,000 = (1 × 10^6) × (1 × 10^7) = 1 × 10^(6 + 7) = 1 × 10^13
D) 100,000 × 1,000,000 = (1 × 10^6) × (1 × 10^7) = 1 × 10^(6 × 7) = 1 × 10^42
Answer:A
Step-by-step explanation:
The answer to the question is A.) 100,000 × 1,000,000 = (1 × 10^5) × (1 × 10^6) = 1 × 10^(5 + 6) = 1 × 10^11
Employees that must use powder-actuated tools are _________ to be licensed and trained to use them safely.
Answer:
Employees that must use powder-actuated tools are REQUIRED to be licensed and trained to use them safely.
Step-by-step explanation:
The powder actuated tools are also known as explosive actuated fastening tools. These tools operate like loaded guns that is why proper and careful handling of such tools is required. Only trained and licensed persons should be allowed to work with such tools.
Lincoln Middle School plans to collect more than 2000 cans of food in a food drive. So far, 668 cans have been collected. Write an inequality to find numbers of cans the school can collect on each of the final 7 days of the drive to meet this goal. Identify what your variable represents.
What is equivalent to 4x-6y
The equation 4x-6y is a form of a linear equation. When re-arranged in the form y=mx+b, it simplifies to y=2/3x, where m (slope) is 2/3.
Explanation:The equation you provided, 4x-6y, is a form of a linear equation. A linear equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept. The given equation can be rewritten as y = (2/3)x - n, where n is the y-intercept that is not given in this case. The equation represents a straight line in a two-dimensional coordinate system.
To see how this conversion is done, you can isolate y in the initial equation. The initial equation is 4x - 6y = 0. If you rearrange the terms, you get -6y = -4x, and after dividing both sides by -6, you get y = (2/3)x, which is its equivalent form.
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HELP ME PLS I NEED TO FIGURE OUT 8/15 TIMES -3/10!!!!! PLS TELL ME
three times a number, minus 5, is equal to two times the number, plus 9 find the number
the amount of money rqised at a charity fundraiser varies directly with the number of attendees. the amount of money raised by 14 attendees was $231. how much money will be raised if there 45 attendees?
What is the slope of the line that contains points (2,9) and (8,7) ?
slope = change in y over change in x
y = 7-9 = -2
x = 8-2 =6
slope = -2/6 = -1/3
Helpppppppp me pleaseeeeeee very important quizzzzz willl be vey grateful
Is the square root of 12-2 rational or irrational?
Jessica spent $36.07 and Ben spent $7.79 at the grocery store. Which is the best estimate of how much Jessica and Ben spent together?
Jessica and Ben spent $44 together.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
The operator that performs the arithmetic operations are called arithmetic operators.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
Jessica spent $36.07 and Ben spent $7.79 at the grocery store.
To determine the amount of spending Jessica and Ben together
Apply the addition operation,
⇒ 36.07 + 7.79
⇒ 43.86
43.86 can be rounded to equal 44.
Hence, Jessica and Ben spent $44 together.
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HW Help -
6(−3−x)−2x=14
x = ___
14=2c−6+3c
c = ___
−7.5(x−3)=3.75
x = ___
3/5(r−7)=1
___
3.5(t+6)=7
A - -4
B - -0.25
C - 0.25
D - 4
How does math plays a role in situations concerning the dreamers?? Plz I need help
Divide. (3/5/9)÷(−2/2/3 Enter your answer as a mixed number, in simplified form, in the box.
Answer:
The answer as a mixed fraction is - 1 [tex]\frac{1}3}[/tex].
Step-by-step explanation:
The expression given is,
(3[tex]\frac{5}{9}[/tex]) ÷ (-2[tex]\frac{2}{3}[/tex]).
Converting the two values to an improper fraction, we have:
[tex]\frac{32}{9}[/tex] ÷ - [tex]\frac{8}{3}[/tex]
Convert the division sign to multiplication sign, so that;
= [tex]\frac{32}{9}[/tex] × -[tex]\frac{3}{8}[/tex]
= - [tex]\frac{96}{72}[/tex]
Divide both the numerator and denominator by 8.
= - [tex]\frac{12}{9}[/tex]
= - 1 [tex]\frac{1}3}[/tex]
Thus, the answer as a mixed fraction is - 1 [tex]\frac{1}3}[/tex].
The diagram shows corresponding lengths in two similar figures find the ratio of the perimeters and the ratio of the areas
Ava read 110 books in 11 months. How many books per month did she read
the difference between three times a number and 7 is 14
thanks for answering these 1. -2(n-6)
2. (5b-4)1/5
3. 2/3(6y+9)
4. 4t-7t
5. -18v squared + 23v squared
6. 13q-30q
Grace’s catering company receives an order for 118 Apple pies. Grace used 8 Apples to make one apple pie. How many apples does she need to make all 118 pies?
PLZ I NEED THIS QUESTION ASAP PLZ PLZ
For a designer suit, Daniel must specify his waist size in centimeters. If there are $12$ inches in a foot and $30.5$ centimeters in a foot, then what size should Daniel specify, in centimeters, if his waist size in inches is $34$ inches? (You may use a calculator on this problem; answer to the nearest tenth.)
complete question:
For a designer suit, Daniel must specify his waist size in centimeters. If there are 12 inches in a foot and 30.5 centimeters in a foot, then what size should Daniel specify, in centimeters, if his waist size in inches is 34 inches? (You may use a calculator on this problem; answer to the nearest tenth.)
Answer:
Daniel waist size in cm ≈ 86.4 cm
Step-by-step explanation:
The designer wants Daniel to express his waist size in centimetres. But his waist size was given in inches .
Let us convert the unit base on the relationship given above
12 inches = 1 foot
34 inches = ? foot
cross multiply
34/12
2.83 ft
Therefore,
1 foot = 30.5 cm
2.83 = ? cm
cross multiply
2.83 × 30.5
86.416
Daniel waist size in cm = 86.416
Daniel waist size in cm ≈ 86.4 cm
Help me for 1 through 6 pls I WANT TO FINISH ON TIME THANKS YOU
your bumper car hits your friends bumper car causing her to move forward what kind of energy was experienced
Answer:
kinetic energy!
Step-by-step explanation:
Name the Solid Figure that has congruent squares on all six
THIS IS 11 POINTS
Write using algebra.
Leo has d stamps and Pete has 2 times as many. How many more stamps does Pete have than Leo?
Pete always has 2 times as many stamps than Leo.
What is an expression?"It is a mathematical statement which consists of constants, variables and mathematical operations."
For given question,
Let Pete has 'm' stamps.
Leo has d stamps and Pete has 2 times as many.
so, we get an expression,
m = 2 × d
so whatever Leo has Pete always has twice as much.
Therefore, Pete always has 2 times as many stamps than Leo.
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a water tank is 1/8 full. the tank is 3/4 full when 42 gallons of water are added to the tank. How much water is in the tank when it is 1/2 full?
WORTH 50 POINTS 4. Tom decided to join Platinum Gym because of its new equipment. At the grand opening, the manager announced that 124 people had signed up for gym membership. As part of the grand opening event, the manager waived the registration fee for 50 random people.
(a) Write an expression to represent how much money Platinum Gym will make from the grand opening memberships. Simplify the expression and label any variables.
(b) After 6 months, how much money will Platinum Gym have made from the original 124 people who joined at the grand opening, assuming that all 124 people are still members? Show your work.
which is the absolute value of 9 and -9
A gumball machine has 78 gumballs. each person who puts a coin into the machine gets 3 gumballs. after a certain number of people get gumballs, there are 54 gumballs remaining.
Which equation could we use to estimate how many people (p) got gumballs out of the machine?
A. 80-3-50=p
B. 80÷3+50=p
C. (80+50)÷3=p
D. (80-50)÷3=p
last question .. i think
please give me the answer :)
i just dont understand