Tickets for a concert cost $4.00 for a balcony seat and $7.50 for an orchestra seat. If ticket sales totaled $1,585 for 300 tickets sold, how many more tickets for balcony seats were sold than tickets for orchestra seats? - thanks
Answer:there were 80 more tickets sold for balcony seats than for orchestra seats
Step-by-step explanation:
Step 1
Let number of tIcket for balcony be represented as x
and
Number of tickets for orchestra seat be represented as y such that the total number pf tickets sol;d would be
X+ Y = 300--- equation 1
And the cost for $4.00 for a balcony seat and $7.50 for an orchestra seat totalling ticket sales of $1,585 be represented as
4x + 7.50y = 1585----- equation 2
Step 2
X+ Y = 300--- equation 1
4x + 7.50y = 1585----- equation 2
Multiplying equation 1 by 4 and subtracting from equation2
4x + 7.50y = 1585
-4x+4y= 1200
3.50y =385
y =385/3.50
y=110
To find x, when y=110
X+ Y = 300--- equation 1
x+110=300
x= 300-110= 190 tickets
balcony seats tickets = 190
orchestra seats tickets = 110
Therefore, there were 80 more tickets sold for balcony seats than for orchestra seats
Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle. He spent 2 hours repairing her bike. Which expression would be used to correctly calculate the amount Roberta owes him?
a.(2 × 25) + 105
b.(105 x 2) + (25 x 2)
c.2 x (25 + 105)
d.2 x 25 × 105
Answer:
a.(2 × 25) + 105
Step-by-step explanation:
Let the number of hours spent repairing the bike = x
Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle.
Therefore, our algebraic expression
= $25× x + $105
= 25x + 105
We were told in the question that He spent 2 hours repairing her bike.
Hence:
25 × 2 + 105
Therefore, the correct option is option a
a.(2 × 25) + 105
1. In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest side?
A2
B3
C [tex]3\sqrt{2}[/tex]
D[tex]3\sqrt{3}[/tex]
F[tex]6\sqrt{2}[/tex]
Answer:
i think it’s b
I need help with this.
Answer:
D=4
C=12.56
Step-by-step explanation:
D=2r
d=2×2
D=4
C=pi ×D
C=3.14×4
C=12.56
Mary is cutting strips of paper for a craft project. Each strip is 1/6 of a sheet of paper. Mary has 2/3 of a sheet of paper left to cut. She wants to determine how many more strips of paper she can cut from what is left.
Mary can cut ___ more strips than paper
Answer:
4 more strips
Step-by-step explanation:
Given that:
Length per strip = 1/6
Fraction of paper left = 2/3
Number of strips that can be cut from the Fraction left ;
Fraction left ÷ length per strip
2/3 ÷ 1/6
2/3 * 6/ 1
(2 * 6) / (3 * 1)
12 / 3
= 4
Which type of interest will earn you more money in a savings account?
Answer:
a compound interest that has the lowest interest rate .
Step-by-step explanation:
PLEASE HELP
Consider the expressions (3m+2n−6) and (−4−6m+7n).
Part A
What is the sum of the expressions for n=−2 and m=5?
The sum is
Answer:
5, -20
Step-by-step explanation:
Given the equation (3m+2n−6) and (−4−6m+7n).
Also, given that we're told that
n = -2 and
m = 5, if we take a rather direct approach by substituting like for like, we have
(3m+2n−6) = (3 * 5 + 2 * -2 - 6)
(3m+2n−6) = 15 - 4 - 6
(3m+2n−6) = 15 - 10
(3m+2n−6) = 5
(−4−6m+7n) = (-4 - 6 * 5 + 7 * 2)
(−4−6m+7n) = -4 - 30 + 14
(−4−6m+7n) = -34 + 14
(−4−6m+7n) = -20
Therefore, we proceed to conclude that the answers are 5 and -20 respectively
A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?
Answer:
The difference is 10,400$.
Step-by-step explanation:
$61,000-$50,600=$10,400
my friend needs help with this can someone help
Answer:Sorry
Step-by-step explanation:
Hi would help but i dont know and im not in collage sorry.
List all factors of 72
Answer:
1,2,3,4,6,8,9,12,18,24,36,72.
Step-by-step explanation:
What you are looking for are numbers that multiply by each other to equal 72, like 1 and 72 or 8 and 9. Factor tree may help, search it up :)
What is the equation in slope-intercept form for the line that passes through the points (–1, 3) and (–2, –3)?
Answer:
The answer is y = 6x + 9.
-
Step-by-step explanation:
☆Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
☆Slope-intercept: [tex]y = mx + b[/tex]
---
☆We need to find the slope first. So just plug in according to the slope formula!
[tex]m = \frac{ - 3 - 3}{ - 2 - ( - 1)} = \frac{ - 6}{ - 1} = 6[/tex]
---
☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.
[tex]y = mx + b \\ 3 = 6( -1 ) + b \\ 3 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: \: }{9 = b \: \: \: \: \: \: \: \: \: \: \: } [/tex]
---
☆Now all we need to do is plug in and we are done!
[tex]y = 6x + 9[/tex]
▪Happy To Help <3
Use the exchange rate £1 = $1.38 to convert $276 into £.
Answer:
£200
Step-by-step explanation:
This 3rd and 2nd grade lvl paper dont ask why
Answer:
Across
Evapotranspiration is the sum of evaporation from plants.
Earth is surrounded by invisible gases that form a thin protective blanket that we call the atmosphere.
Water flows downhill because gravity is a form of potential energy – and the water, or anything that falls or rolls downward – flows in response to differences in potential energy (from high to low). ... Therefore, the potential energy that drives groundwater movement includes both pressure and gravity.
Precipitation: hail, rain, freezing rain, sleet and snow.
Condensation is the opposite of vaporization. Condensation occurs when a gas loses energy, slows in motion so that its cohesive force pulls the molecules close, but the molecules still have enough energy to break away from one connection only to connect with another molecule.
Down
Alternatively evaporation of the liquid should leave a solid residue. ... Dissolving is a reversible process and the solute can be recovered from a solution by evaporation though it will not always be in the exactly the same form as at the start.
Boiling. If a liquid is heated the particles are given more energy and move faster and faster expanding the liquid.
Answer: No entiendo la historia y no vengas por mí, solo quería los puntos jajaja
Step-by-step explanation:
What’s the answer pls
Answer:
Step-by-step explanation:
There is no bird on the spinner. therefore the answer is impossible because there is no bird.
Answer:
Impossible - There's no bird on the wheel.
Step-by-step explanation:
Prior to hosting an international soccer match, the local soccer club needs to replace the artificial turf on their field with grass turf. The grass turf will cost $ 6.75 per square meter. If the field is 0.101 km by 0.065 km, how much will it cost the club to add the grass turf to their field
Answer:
$44,313.75
Step-by-step explanation:
First, we need to turn the km into meters. There are 1000 meters in a km meaning we need to multiply each of these values by 1000.
0.101 km * 1000= 101 meters
0.065 km * 1000 = 65 meters
Now we need to multiply these values together to find the area of the field
101m * 65m = 6,565[tex]m^{2}[/tex]
Finally, we need to multiply this area by the cost per square meter
6,565[tex]m^{2}[/tex] / 6.75 = $44,313.75
The total repair will cost $44,313.75
Which pair of triangles can be proven congruent by SAS?
Answer:
SAS postulate says that if two sides and the included angle of a triangle are equal to two sides and the included angle of another triangle, then the two triangles are said to be congruent.
Summarize the process of solving a two-step equation.
Answer:
Solving Two-Step Equations
1) First, add or subtract both sides of the linear equation by the same number.
2) Secondly, multiply or divide both sides of the linear equation by the same number.
3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable
How do you graph y=−x−2.
Bob built birdhouses to sell at the craft fair for $8.00 each. He had to spend $40 for materials . Which inequality represents the number of bird houses he must sell to make more than $ 200?
Answer:
8x - 40 > 200
Step-by-step explanation:
Write an algebraic expression for the word expression. the quotient of 10 times m and 7
Answer:
10m/7
Step-by-step explanation:
quotient means division so 10 times m is 10m
and then we will divide 10m and 7
10m/7
please mark as brainliest
A truck carries 40 bags of avocados to a local supermarket. If each bag weighs 8.65 pounds, what is the total weight of avocados taken to the supermarket?
Answer:
346pounds
Step-by-step explanation:
40×8.65=346pounds
Photo attached please help
PLZ HELP ME What shape is this cross-section?
Answer:
i'm not sure if i'm right but think is cube
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices. Of the devices checked, 84% are not defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.
The probability of an incorrect conclusion is,
In 84 % of inspection, [tex]7.56\%[/tex] of them labeled as not defective but they are actually defective
Probability :It is given that,
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices.
Of the devices checked, 84% are not defective.
Actual not defective is,
[tex]\frac{91*84}{100} = 76.44\%[/tex]
In [tex]84\%[/tex] of inspection,[tex]76.44\%[/tex] are actually not defective
But [tex]84- 76.44 = 7.56\%[/tex] of them labeled as not defective but they are actually defective
Learn more about Probability here:
https://brainly.com/question/24756209
which expression is equivalent to (3c)-2?
Answer:
Assuming that the notation there is meant as:
[tex](3c)^{-2}[/tex]
then the answer would be 1/(9c²)
If the -2 is indeed just subtraction and not an exponent, then it is simply 3c - 2
The expression equivalent to 1/9c².
What is expression?An expression is a set of terms combined using the operations +, – , x or for example 4 x − 3 or x 2 – x y + 17 .
An equation states that two expressions are equal in value,
for example 4 b − 2 = 6 .
Given:
[tex](3c)^{-2}[/tex]
To make the power positive, just do the reciprocal
=1/ (3c)²
=1/9c²
Hence, the expression
[tex](3c)^{-2}[/tex] is equivalent to 1/9c².
Learn more about expression here:
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Promise Easy Points
Calculate the average monthly expenses for these individuals?
Kelsey spent $350 in May, $432 in June and $420 in July. Her average monthly expenses are:____
Michael spent $700 in April and May and $800 in June and July. His average monthly expenses are:____
$420+$350+$432=kelsey's monthly expenses
$700+$800=Micheal's Monthly expenses
Michael's average monthly expenses are $750.
What is the average?The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, Kelsey spent $350 in May, $432 in June and $420 in July.
Now, average monthly expenses are
(350+432+420)/3
= 1202/3
= 400.67
Michael spent $700 in April and May and $800 in June and July.
Here, (700×2+800×2)/4
= (1400+1600)/4
= 3000/4
= $750
Therefore, Michael's average monthly expenses are $750.
To learn more about an average visit:
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Jacob spent 24% of his allowance last week. What fraction of his allowance did Jacob spend? Write the answer in simplest form.
6/25
Step-by-step explanation:
24/100
both can be multiplyed or divided by 4 and that is the lowest.
so
24÷4=6
100÷4=25
5/= 1.5 x 25
What is 1.5 × 25
A. 22.5
B. 37.5
c. 52.5
D. 85.5
Answer:
37.5 is the answer
Step-by-step explanation:
all you do is just multiply the 2 numbers
At a restaurant, the bill comes to $30. If you decide to leave a 10% tip, how much total do you need to pay? Give your answer to the nearest dollar.
Answer:
33dollors if I'm not mistakin
Which is the equation of a line perpendicular to the line with the equation:
y = -3x + 5
A. Y= -3x -7
B. Y= 3x + 2
C. Y= -1/3x - 1/2
D. Y= 1/3x - 1/2
Answer:
D- y=1/3x-1/2
Step-by-step explanation:
I believe that the slope needs to be opposite and the reciprocal
