Step-by-step explanation:
The Fall Festival charges $0.75 per ticket for the rides. Kendall bought 18 tickets for rides and spent a total of $33.50 at the festival
0.75 per ticket. So cost of 18 tickets= 0.75 * 18 = $13.5
Kendall spent $13.50 for tickets . Total spent = $33.50
Total spent = ticket cost + admission cost
33.50 = 13.50 + admission
Admission cost = 33.50 - 13.50 = $20
(a) y to represent the total cost , x to represent the number of ride tickets.
'b' represents the admission cost
(b) General form of linear equation is y=mx+b
m = 0.75 and b = admission cost = 20
So equation becomes y = 0.75x + 20
(c) Initially, she has to pay the admission price $20. then 0.75 per ticket.
The value of x changes depends on the number of tickets she wants to buy.
y is the total cost she has to pay for x tickets with admission price
Peter sets out on a run 4 miles west of his school he ran 14 miles east how far past is school is he after his run
he is 10 miles east of his school because:
N
W-|-E So if you consider the middle of the lines the school and draw a line four S miles west then you go backwards (east) fourteen miles. you get 10.
Equation: 0+4=4 |4-14|=10
Peter is 10 miles east of his school after his run.
Explanation:To determine how far past his school Peter is after his run, we need to calculate the total displacement from his starting point. Since he ran 4 miles west and then 14 miles east, the total displacement is the difference between the two distances, which is 10 miles east. Therefore, Peter is 10 miles east of his school after his run.
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If y varies inversely as x and y=3 when x=4, then y=12 when x=15
True or false ?
y=12 is false answer.
the members of the drama club used .5 of the school gymnasium floor space to build a stage for a play. the drama club used .4 of this part of the gymnasium floor to build a backstage area. write an equation.
Hello,
If this is the case, i would division.
4 devided by 5 is 1 reminder 1.
Plz mark brainliest
*i think i got it right!*
The drama club used 0.5 of the gymnasium floor for the stage, and 0.4 of that for the backstage area. Therefore, the equation representing the portion of the gymnasium used for the backstage area is 0.2F = backstage area, where F represents the total gymnasium floor space.
Explanation:The drama club used 0.5 of the total gymnasium floor space to build a stage. But they further used 0.4 of that space for a backstage area. If the total floor space is represented by the variable F, the portion used for the stage would be 0.5F. The space used for the backstage area would be 0.4 of that, so it would be 0.4 * 0.5F = 0.2F. So the equation representing the situation is 0.2F = backstage area.
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3-12t+8t simplify each Expression
You are at Galveston for a week-long gathering. Members of your family want to rent a jet ski. It will cost $45.00 per hour.How long can you rent the jet ski if your family has budgeted $350 for the rental fee?
By dividing the total budget ($350) by the cost per hour ($45), we can tell that the family can rent a jet ski for 7 hours.
Explanation:This problem involves a simple division process. Given that, the rental fee for jet ski is $45.00 per hour and your family has allocated $350 for this. We can solve this problem by dividing the total budget by the cost per hour.
The first step is to take $350 (the total budget) and divide it by $45 (the price per hour).This will give us the total time we can rent the Jet ski for.So, $350 ÷ $45 = 7.777. But since we can't rent a jet ski for partial hours, we only consider the whole number. Hence, Your family can rent a jet ski for 7 hours with a budget of $350.
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5x+10=7x+4 what is the answer to this equation
answer: [tex]x = 5[/tex]
work:
[tex]5x+10=7x+4[/tex] | subtract 5x and move it over to the 7x, and solve
[tex]10 = 2x + 4[/tex] | subtract 4 and move it over to the 10, and solve
[tex]6 = 2x[/tex] | divide by 2
[tex]3 = x[/tex] | final answer
hope this helps! ❤ from peachimin
Interpret the given expression. Expression: (5x-2)^3 / x+11
Answer:
125x3−150x2+60x−8/x+11
the quotient of the cube of the difference of 5x and 2 and the sum of x and 11
slope is -3 and a y intercept of 7
You're slope intercept form is: y = mx + b, in which:
m = slope
b = y-intercept
Plug in the -3 for m, and 7 for b
y = -3x + 7 is your slope-intercept form.
hope this helps
Use the following figure to answer the question.
1 and 5 are _____ angles.
Answer:
1 and 5 are Corresponding angles.
Step-by-step explanation:
Given : Figure with two transverse line l , m .
To find : 1 and 5 are _____ angles.
Solution : We have given Line l , m and transverse line t .
Corresponding angle :
The angles in matching corners are called Corresponding Angles.
Example : 1 ,5 and 2 ,6 .
So , angle 1 and 5 are Corresponding angle.
Therefore, 1 and 5 are Corresponding angles.
Analyze the following pattern: 1, 2, 5, 10, 17, ...
Part I: Describe the pattern. (1 point)
Part II: What is the 8th term of the pattern? Show your work. (1 point)
The pattern is [tex]n^2-2n[/tex]
And, the 8th term of the pattern is 48.
Given that,
The pattern is 1,2,5,10,17.....Based on the above information, the calculation is as follows:
1 2 5 10 17
Here second number is calculated by adding 1, the third number is calculated by adding 3, the fourth number is calculated by adding 5, and the last number is calculated by adding 7
So,
+1 +3 +5 +7
+2 +2 +2
Now
[tex]2\div 2=1[/tex]
Therefore it starts with [tex]n^2[/tex]
[tex]n^2[/tex] = = 1 4 9 16 25
-0 -2 -4 -6 -8
-2 -2 -2 -2
Therefore we have -2n
Now
The 8th term should be
[tex]= 8^2- 2\times 8[/tex]
= 64-16
= 48
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Without computing each sum find which is greater O or E and by how much O=3+5+7+9+....+98 E=2+4+6+8+....+98
Which scatterplot has a correlation coefficient closest to r = 1?
Answer:
The scatter diagram that contains the correlation coefficient closest to r = 1 is the first one shown in the attached images.
Step-by-step explanation:
The correlation coefficient "r" measures how much two variables x and y are related. When the variables are highly related, the value of r is closer to one and the points contained in the scatter diagrams are assimilated more and more to a line. When the value of r is positive the relation is crescent and therefore the slope of the line drawn by the points in the diagram has a positive slope
Therefore, to answer this question, one must search among the attached images for the dispersion diagram in which the points resemble a straight line with a positive slope.
The scatter diagram that meets the requirements mentioned is the first one that appears in the attached images
The scatterplot with a correlation coefficient closest to r = 1 is the one shown in the image below.
Scatterplot Showing CorrelationA scatterplot shows a relationship between two variables.This relationship is denoted by a correlation coefficient that is between -1 and 1.If a line slopes upwards to the right, it shows a positive correlation and vice versa.The closer the data points on a scatter plot, the closer the correlation coefficient is to either 1 or -1.Therefore, a scatterplot with a correlation coefficient that is closest to r = 1 will have a slope whose data points lie almost on a straight line and slopes upwards to the right.
Therefore the scatterplot with a correlation coefficient closest to r = 1 is the one shown in the image below.
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please help I hope someone can:Brian and Chris went together to Target to find party favors for a birthday party they are throwing together.
Brian found 4 items that cost the same amount. Chris bought 3 items that each cost $2.50 more than Brian’s items each cost. Brian and Chris both paid the same amount of money. What was the individual cost of each person's items?
(a) Write an equation. Let x represent the cost of one of Brian's items.
(b) Solve the equation. Show your work.
(c) Check your solution. Show your work.
(d) State the solution in complete sentences.
Answer:
one Brian's item cost: x
one Chris' item cost: x+2.5
Set up equation:
Brians amount = Chris amount
4*x = 3*(x+2.5)
solve for x:
4x = 3x + 7.5
x = 7.5
Brian's items cost $7.5 each.
Check:
Brian paid 4*7.5 = $30
Chris paid 3*10 = $30
The individual cost of Brian's items was $7.50, and the indiv. cost of Chris' items was $10.
Which set of points lies on given graph?
A.(4,11),(-2,7),(1,-1)
B. (4,11),(2,-7), (1,1)
C. (-4,11),(-2,7),(1,-1)
D. (-4,11),(-2,7),(1,1)
Set of points lies on given graph
(-4,11) , (-2,7), and (1, 1)
Answer
D. (-4,11),(-2,7),(1,1)
2(2x + 1) = 26
x = ?
Help!
Step 1. Divide both sides by 2
2x + 1 = 26/2
Step 2. Simplify 26/2 to 13
2x + 1 =13
Step 3. Subtract 1 from both sides
2x = 13 - 1
Step 4. Simplify 13 - 1 to 12
2x = 12
Step 5. Divide both sides by 2
x = 12/2
Step 6. Simplify 12/2 to 6
x = 6
Solve this linear system by graphing
1/2x-y=4
2y=x+6
How many factors are in 20
the factors are: 1,2,4,5,10,20. So Therefore there are 6 factors.
Prime numbers have only one rectangular array. Numbers with four factors have two types of rectangular array: 8 has 1 x 8 and 2 x 4. Numbers with six factors have three rectangular arrays: 20 has 20 x 1, 10 x 2, and 5 x 4.
sara bought two board of wood for a club project. one board is 18 inches long, and the other board is 30 inches long. she wants to cut the wood into the longest equal-sized pieces possible with no wood left over sara wonders if she has enoughwood for ten equal-sized pieces.
Answer:
No, Sara can only cut 8 equal-sized pieces with maximum longitude and no wood left over.
Step-by-step explanation:
For finding which longitude meets the requirements (to be the longest with no wood left over) we must decompose 18 and 30 in their prime factors.
For doing so, we look for the prime numbers that divide 18 and 30, as follows
18 | 2 30 | 2
9 | 3 15 | 3
3 | 3 5 | 5
1 1
Thus 18=2*3*3, and 30=2*3*5.
The maximun number that divides both 18 and 30 must be 2*3=6, because these are the prime numbers that both decompositions have in common.
6 represents the maximum longitude for a piece of wood with no leftovers.
Since 18/6=3, and 30/6=5, we can only obtain 5+3=8 wood pieces from the boards.
Of course, we can cut in a half the 8 pieces obtaining 16 equal-sized pieces of wood, but unfortunately, they won't be the longest pieces possible.
Cala uses 2 pounds of Feed-All fertilizer for a 100 foot row of vegetables at her farm. At this rate, how many pounds of fertilizer would she use for a 450-foot row of vegetables? Explain
Answer
Find out the how many fertilizer she used for a 450-foot row of vegetables.
To proof
let us assume that the fertilizer would she use for a 450-foot row of vegetables be x.
As given
Cala uses 2 pounds of Feed-All fertilizer for a 100 foot row of vegetables at her farm.
than the equation becomes
[tex]x = \frac{2\times450}{100}[/tex]
solving the above
x = 9 pound
Therefore 9 pound are used for a 450-foot row of vegetables.
Hence proved
Solve for x.
52-2x=4
[tex]52-2x=4\\\\2x=48\\\\x=24[/tex]
Answer: x = 24
Step-by-step explanation:
52 - 2x = 4
-52 -52
__________
-2x = -48
___ ___
-2 -2
x = 24
hope this helps! ❤ from peachimin
7,14,8,16,10,20,14 what is the rule
The steps need to solve this equation -24-1/8p=3/8p
-24-1/8p=3/8p
Rewrite as
3/8p=-24-1/8p
Add -1/8p both sides
1/2p= -24
Multiply 2 to each side
P= -24(2)
P=-48
The value of p is 48 for the equation 24 - 1/8p = 3/8p.
To solve this equation -24 - 1/8p = 3/8p.
24 - 1/8p = 3/8p.
Subtract 24 on both side,
24 - 1/8p -24 = 3/8p - 24,
- 1/8p = 3/8p - 24
Add 1/8p on both side,
1/8/p - 1/8p = 3/8p - 24 + 1/8p
0 = 1/2p -24
24 = 1/2p
p = 48.
Therefore, the value of p is 48.
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2(x+14) + 2(x) Distributive Property
2(x+14) + 2(x) after using the distributive property will be 2x+28+2x. What I did to find this is multiply the number outside of the opening parentheses by everything inside of the pair of parentheses.
Annual fixed costs for a product are $75,000. The product itself sells for $6 and it costs $2 in variable costs to make each product.
By how many units will the annual break-even point for the product change if the variable cost per unit goes up to $2.50?
Given
Annual fixed costs for a product are $75,000.
The product i sells for $6
it costs $2 in variable costs to make each product.
the variable cost per unit goes up to $2.50
find out how many units will the annual break-even point for the product change .
To proof
FORMULA
Break even = Fixed cost ÷ Contribution margin per unit
where
Contribution margin per unit = sale price - variable price
Take two cases
Case first
fixed costs for a product = $75,000
product itself sells = $6
variable costs = $2
put all the value in the above equation
we get
Contribution margin per unit = 6 - 2
= 4
[tex]Break even (say B1 ) = \frac{75000}{4}[/tex]
= 18750 units
CASE SECOND
the variable cost per unit goes up to $2.50
put value inthe formula
Contribution margin per unit = 6 - 2.50
= 3.5
[tex]Break even (say B2 ) = \frac{75000}{3.5}[/tex]
we get
Breakeven (sayB2) = 21428.6 unit
change in the break even product = B2- B1
= 21428.6 - 18750
= 2678.6 unit
Hence proved
The annual break-even point for the product will increase by approximately 2,679 units if the variable cost per unit goes up to $2.50.
Explanation:To determine the break-even point, we need to calculate the number of units that need to be sold in order to cover the fixed costs. The formula to calculate the break-even point is:
Break-Even Point = Fixed Costs / (Selling Price per Unit - Variable Cost per Unit)
In this case, the fixed costs are $75,000, the selling price per unit is $6, and the variable cost per unit is $2.
To find the current break-even point, we can substitute these values into the formula:
Break-Even Point = $75,000 / ($6 - $2) = $75,000 / $4 = 18,750 units
If the variable cost per unit goes up to $2.50, we can substitute this new value into the formula to find the new break-even point:
Break-Even Point = $75,000 / ($6 - $2.50) = $75,000 / $3.50 = 21,428.57 units
Therefore, the annual break-even point for the product will increase by approximately 2,679 units if the variable cost per unit goes up to $2.50.
42.85714 as a percent
4,285.714%
unless you need it siplified?
Answer:
4285.714%
Step-by-step explanation:
Multiply 42.85714 by 100 to convert to percent:
42.85714 × 100 = 4285.714 %
Hope this helps :-)
What are the possible numbers of positive, negative, and complex zeros of f(x) = −3x4 + 5x3 − x2 + 8x + 4?
Judging from the graph (attached), there is one negative and one positive zero. Since this is a 4-th order polynomial, it has 4 zeros in total. So there are 2 complex zeros with imaginary components.
A proofreader read 195 pages in 7 days. To the nearest hundredth, what is her reading rate in pages per minute?
A: 0.02 pages/min
B: 0.46 pages/min
C: 1.16 pages/min
D: 27.86 pages/min
1 day = 24 hours.
7 days x 24 hours per day = 168 hours
1 hour = 60 minutes.
168 hours x 60 minutes per hour = 10,080 total minutes.
195 pages / 10,080 minutes = 0.019 = 0.02 pages/min.
The answer is A.
The answer is A
This is because 7 days is equivalent to 10080 minutes.
To get the number of pages read per minute, divide 195 by 10080 to get approximately 0.02
The average score that Kat gets on her exams is proportional to the amount of time she studies for the exam. Kat scored a 75 after studying for 15 hours. How many hours should she study for the next exam if she needs a 90 to pass the class?
Kat's study score rate is 5 points per hour. To achieve a score of 90, given her current study rate, she should spend 18 hours studying for the exam.
Explanation:Since the average score Kat gets on her exams is proportional to the amount of time she studies, her score is a measure of her rate of study. This 'rate' can be computed as the score divided by the time she studies. She got a 75 after studying for 15 hours, so her rate is 75/15 = 5 - this means she scores 5 points per hour of studying.
To figure out how many hours she needs to study to score a 90 in the next exam, divide the score she needs (90) by her rate (5). So, 90/5 = 18. Thus, Kat needs to study for 18 hours to achieve a score of 90 on her next exam.
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Describe what the standard notation of a number look like if the scientific notation of that number has a negative exponent?
When converting a number from scientific notation with a negative exponent to standard notation, the result is a decimal number less than one. The scientific notation's negative exponent indicates how many places to move the decimal point to the left in the standard form.
When the scientific notation of a number has a negative exponent, it signifies that the standard notation of the number will be a decimal less than one. For example, if the scientific notation is 3.5 × 10-4, then the standard notation would be 0.00035. This transition is made by moving the decimal point to the left instead of to the right, which would be the case with a positive exponent. Each step the decimal point moves to the left corresponds to one negative power of ten.
In standard notation, the number is expressed in its regular decimal form without any exponents. For very small numbers, a negative exponent in scientific notation helps to simplify and make the representation more readable.
For instance, the size of a virus might be about 0.000000025 meters. In scientific notation, this is written as 2.5 × 10-8 meters. Converting this back to standard notation, we'd move the decimal point to the right eight places, giving us the small standard number mentioned before.
whats the answer 4−d<4+d
Final answer:
The inequality 4 − d < 4 + d solves down to d > 0, meaning any positive number for d will satisfy the inequality. We achieve this by eliminating like terms and isolating the variable on one side.
Explanation:
To solve the inequality 4 − d < 4 + d, we want to find the values of d that make the inequality true. We can do so by following these steps:
Subtract 4 from both sides of the inequality to simplify it: 4 − d − 4 < 4 + d − 4, which simplifies to −d < d.
Add d to both sides to get all the d terms on one side: −d + d < d + d, which simplifies to 0 < 2d.
Divide both sides by 2 to solve for d: 0 / 2 < 2d / 2, which simplifies to 0 < d.
The solution to the inequality is d is greater than 0. In other words, any positive number for d will satisfy the inequality.