Darius is offered a choice between two gambles on a fair coin flip: (1) pay $100, win $110 on either heads or tails. (2) pay $100, win $120 on heads and $70 on tails. darius chooses (2). what sort of attitude does this choice reveal?
what is the equation of the line that has a slope of 4/5 and a y-intercept of -1?
Answer:
y = 4/5x -1
Step-by-step explanation:
The slope-intercept form of the equation of a line is ...
... y = mx + b . . . . . . for slope m and y-intercept b
You have m = 4/5 and b = -1. The equation of the line is found by putting these values in their places in the form above.
... y = 4/5x -1
The equation of the line with a slope of 4/5 and a y-intercept of -1 is y = (4/5)x - 1.
The equation of a line in slope-intercept form is given by y = mx + b, where m represents the slope of the line and b represents the y-intercept.
Given a slope of 4/5 and a y-intercept of -1, we can substitute these values directly into the slope-intercept form equation to get the equation of the line.
Hence, the equation for this line is y = (4/5)x - 1.
On a map, the distance between two historical markers is 4.5 inches, and 2.5 inches represents 10 miles. What is the actual distance between the historical markers? Enter your answer in the box.
In rectangle MNPQ with side MN = 16 in, point L is the midpoint of PQ and m∠QLM = 45°. Find the perimeter of the rectangle.
Give the other person brainliest they deserve it .
Please help me with questions 18 and 19
You work for a furniture moving company. Your boss sends you to the hardware store to buy tie down rope. He tells you to buy the best deal. What is the best deal on rope?
A) 10 feet for $7.00
B) 20 feet for $13.00
C) 50 feet for $28.00
D) 100 feet for $57.50
Answer:
Option C- 50 feet for $28.00 is the best deal because it offers rope $0.56 per feet.
Step-by-step explanation:
To know what is the best deal on rope, we calculate the price for 1 feet rope from the given deals.
A) 10 feet for $7.00
1 feet = 7.00 ÷ 10 = $0.70
B) 20 feet for $13.00
1 feet = 13.00 ÷ 20 = $0.65
C) 50 feet for $28.00
1 feet = 28 ÷ 50 = $0.56
D) 100 feet for $57.50
1 feet = 57.50 ÷ 100 = $0.575
Option C) 50 feet for $28.00 offers lowest price, so this is the best deal.
Answer:
The best deal is "50 feet for $28.00"
C is correct
Step-by-step explanation:
We need to buy tie down rope for moving furniture.
We have to choose best deal from four option.
We are given length of rope and price of rope.
We can identity best deal if we know the price of rope per feet.
So, first we change each option into per feet.
Option A) 10 feet for $7.00
Price of 10 feet rope = $7
Price of 1 feet rope = $0.70
Option B) 20 feet for $13.00
Price of 20 feet rope = $13.00
Price of 1 feet rope = $0.65
Option C) 50 feet for $28.00
Price of 50 feet rope = $28.00
Price of 1 feet rope = $0.56
Option D) 100 feet for $57.50
Price of 100 feet rope = $57.50
Price of 1 feet rope = $0.5750
Now, we arrange each per feet price and check best deal.
0.70 > 0.65 > 0.57 > 0.56
The minimum cost is $0.56
Hence, The best deal is "50 feet for $28.00"
A charity organization had a fundraiser where each ticket was sold for a fixed price of $ 70. They had to sell a few tickets just to cover necessary production costs. After selling 10 tickets, they were still at a net loss of $800, (due to the production costs). Let (n)P, denote the net profit from the fundraiser P (measured in dollars) as a function of the number of tickets sold n. Write the function's formula.
Answer: The function's formula would be
[tex]P(n)=Revenue-Cost\\\\P(n)=70n-1500[/tex]
Step-by-step explanation:
Since we have given that
Price of each ticket = $70
Number of tickets = 10
Total cost price of tickets would be
[tex]70\times 10\\\\=\$700[/tex]
After selling 10 tickets, there is a net loss of $800.
So, Total product cost would be
[tex]\$700+\$800\\\\=\$1500[/tex]
We need to write the function's formula for the number of tickets sold 'n'.
So, the function's formula would be
[tex]P(n)=Revenue-Cost\\\\P(n)=70n-1500[/tex]
The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? Use the rate table to solve the proportion.
Answer: The required cost of ingredients that would serve the recipe to 24 people is $39.
Step-by-step explanation: Given that a recipe makes enough stew for 6 people and the ingredients cost $9.75.
We are to find the cost of the ingredients that would make recipe to serve 24 people.
We are to use the rate table to solve the given problem.
Since the rate of increase of number of people is given by
[tex]\dfrac{24}{6}=4.[/tex]
Therefore, we will multiply the cost of ingredients for 6 people by 4.
Therefore, the cost of ingredient that makes the recipe to serve 24 people will be
[tex]=9.75\times 4\\\\=39.[/tex]
Thus, the required cost of ingredients that would serve the recipe to 24 people is $39.
These are the first sentences in the short story, “the gift of magi” by O. Henry: “one dollar ad eighty/seven cents. That was all. And sixty cents of it was in pennies” what are the possible number of coins to make $1.87? Use the equation that represents the value of the coins to complete the table
So the rows are read from left to right, now down. This is probably a little late to be answering this, but see how the top row say 4 6 5? 4 quarters = 100, 6 dimes = 60, 5 nickels = 25, all together is 185. It's just asking you to fill in the blanks to make each row equal $1.87. So for pennies, you would put 2 to make 185+2 = 187 or $1.87. I was confused looking at this too. I was staring at it for an hour and I googled to see how other people answered this.
226in is equal to how many ft and in (show work
tuckers bedroom is a rectangle that measures 3 1/3 yards by 4 1/2 yards. His dad buys two area rugs that each has a length of 4 yards. One rug has an area of 16 square yards. The other is 12 square yards. Which rug will fit Tucker's room? a length of 4 yards. One rug has an area of 16 square yards. The other is 12 square yards. Which rug will fit Tucker's room?
Answer:
Step-by-step explanation:we have 2 area rugs, and each has a length of 4 yards
Rug 1 has a area of 16 square yards, meaning that the width is also 4 yard(L*w=16, where Length=4)
Rug 2 has a Length of L=4 but the area is just 12 square yards, so here we have the width of 3 yards (12/4=3)
the rug number 2 will fit in tucker's bedroom
What kind of angle is formed by the tangent to a circle and a radius of that circle?
Answer: 90° which is a right angle
Step-by-step explanation:
The tangent to a circle is perpendicular to the radius at the point of tangency. The angle between a radius and tangent is 90°>
Write a system of equations and solve.
dan saved $463 over the 12 weeks of summer break. He saved $297 of it during the last 4 weeks.How much did he save during the first 8 weeks?
4/9 converted into a decimal rounded to the nearest thousand
The area of a sector of a circle is given by the equation A=3.14r^2S/360, where r us the radius of the circle and S is the angle measure of the sector. If Mia solved this equation for S, which of the following equations did she write?
Just took the quiz.
The answer is 360A / pi r^2
Explain how to find the surface are of a triangular prism using only the the dimensions of the figure.
Suppose (b − c)d = 0, where b and c and m × n matrices and d is invertible. show that b =
c.
Faelyn noticed that she does not have a common factor. Which accurately describes what Faelyn should do next?
Faelyn should realize that her work shows that the polynomial is prime.
Faelyn should go back and regroup the terms in Step 1 as (6x4 + 3x2) – (8x2 + 4).
In Step 2, Faelyn should factor only 2x out of the first expression.
Faelyn should factor out a negative from one of the groups so the binomials will be the same.
Answer:
(b) Faelyn should go back and regroup the terms in Step 1 as (6x⁴ + 3x²) – (8x² + 4)
Step-by-step explanation:
You want to know the next step in factoring 6x⁴ -5x² -4 after noticing the terms have no common factor.
TrinomialFaelyn can notice the variable terms are powers of x², meaning this expression is a quadratic in x². As such, it may be able to be factored using the same strategies available for factoring quadratic expressions.
One such strategy is to rewrite the middle term as a sum, then group the terms and factor each group. Faelyn has apparently noticed that she can rewrite -5x² as 3x² -8x². This means ...
Faelyn should go back and regroup the terms in Step 1 as (6x⁴ + 3x²) – (8x² + 4), choice B.
__
Additional comment
The values used to rewrite the x² term are factors of (6)(-4) = -24 that have a sum of -5. Those values are +3 and -8.
Once Faelyn has regrouped the terms, she can factor further as ...
(6x⁴ + 3x²) – (8x² + 4) = 3x²(2x² +1) -4(2x² +1) = (3x² -4)(2x² +1)
These two binomial factors are prime.
Suppose 67% of all teenagers own a laptop and 29% of all teenagers own a laptop and a tablet. What is the probability that a teenager owns a tablet given that the teenager owns a laptop?
P(T | L) = P(T&L)/P(L)
P(T | L) = 0.29/0.67 = 29/67 ≈ 0.4328 ≈ 43.3%
AB ≅ BC and AD ≅ CD What additional information would make it immediately possible to prove that triangles AXB and CXB are congruent using the HL theorem? What additional information would make it immediately possible to prove that triangles AXD and CXD are congruent using the SSS congruence theorem?
Answer:
C, B
Step-by-step explanation:
Answer:C B
Step-by-step explanation:
Points ABCD are connected to form rectangle ABCD. If G is plotted at (7, 4), would rectangle EFGH be similar to rectangle ABCD? Explain.
ANSWER FAST PLEASE 25 PTS
Which of the following statements best describe(s) a pair of similar polygons, ABCD and EFGH?
Polygons ABCD and EFGH have different shapes and are always different sizes.
Polygons ABCD and EFGH have similar shapes and are sometimes different sizes.
Polygons ABCD and EFGH have the same shape and are sometimes different sizes.
Polygons ABCD and EFGH have the same shape and are always different sizes.
Two parrallel lines may have 1 intersection point.
A.) True
B.) False
Round 14.376 to the nearest dollar
Two secant segments intersect outside a circle as shown. What is the value of x?
The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?
A. 2/5
B. 1
C.2
D.5/2
Answer:
Hence, option D is correct.
(i.e. Average speed is 5/2 miles/hour)
Step-by-step explanation:
We are asked to find the average rate of speed over the interval [9, 11].
We know that average speed is given as the ratio of total distance over total time.
the distance when time=9 hours is 6 miles.
and the distance when time=11 hours is 11 miles.
Hence, average speed is given as:
[tex]Average speed=\dfrac{Total distance}{Total time}\\\\Average speed=\dfrac{11-6}{11-9}\\\\Average speed=\dfrac{5}{2}[/tex]
Hence average speed is 5/2 miles/hour.
Write each vector as a linear combination of the vectors in s. s = {(2, 0, 7), (2, 4, 5), (2, −12, 13)} (a) u = (−1, 7, −7)
What is the simplified form of the expression? 3/a-9b
Final answer:
The simplified form of 3/(a-9b) is 3/a - 1/3b.
Explanation:
The closest relevant excerpt appears to be “(a + b)/h, āb/h + (a + b)(a + b)/h = (a + b)/h” which simplifies to “(a + b)/h”, assuming the intention was to demonstrate simplification through common denominator aggregation or algebraic manipulation. The mostly likely possible simplification in this can be done in the following form.
The simplified form of the expression 3/(a-9b) is 3/a - 1/3b.
To simplify, we split the fraction into two: 3/a - 3/(3b) = 3/a - 1/3b.
What is the better estimate for the mass of a textbook, 1 gram or 1 kilogram