For several months, a restaurant manager collected data on the number of people at a table (p) and the total bill, in dollars (d). She found that there is a positive linear association between p and d that is best modeled by the equation
d = 15.7p + 2.0.
What statement is true?
The model predicts that the average total bill for a table is $15.70.
The model predicts that for each additional 2 people at a table, the total bill increases by $15.70.
The model predicts that the average bill for any table with 2 people is $15.70.
The model predicts that for each additional person at a table, the total bill increases by $15.70.
Dadas las funciones f(x) = x + 3, g(x)= x(cuadrada)+ 5x + 6,r(x) = x+2, s(x) = x(cuadrada) - 3x - 10
Determina (g(x)) (s(x))
Three times the sum of a number and six
Answer:
3(x+6)
Step-by-step explanation:
Sarah bought a 16 ounce jar of strawberry jam for $3.20. What is the unit price
9x squared= -18x+7
[tex]9x {}^{2} = - 18 + 7[/tex]
which is cheaper 6x8 tiles for 1.29 or 4x4 tiles for .99
After calculating the cost per square inch for both tiles, the 6x8 tile at $0.026875 per square inch is less expensive than the 4x4 tile at $0.061875 per square inch. Thus, the 6x8 tiles are cheaper.
Explanation:To determine which tile is cheaper, you need to calculate the cost per square inch for each tile, and then compare them. The 6x8 tile has an area of 48 square inches (6 inches x 8 inches), and it costs $1.29. To find the cost per square inch, divide $1.29 by 48 square inches.
Cost per square inch for 6x8 tile: $1.29 / 48 = $0.026875
The 4x4 tile has an area of 16 square inches (4 inches x 4 inches), and it costs $0.99. To find the cost per square inch, divide $0.99 by 16 square inches.
Cost per square inch for 4x4 tile: $0.99 / 16 = $0.061875
Comparing these two amounts, the 6x8 tile at $0.026875 per square inch is less expensive than the 4x4 tile at $0.061875 per square inch. Therefore, the 6x8 tiles are cheaper than the 4x4 tiles.
A rectangle has a perimeter of 34 cm in an area of 52 cm squared it's length is 5 more than twice its width write and solve the system of equations to find the dimensions of the rectangle
Let [tex] l [/tex] be the length and [tex] w [/tex] be the width of the rectangle.
Given perimeter of the rectangle
[tex] 2(l+w)=34 \; l+w=17[/tex]
Area of the rectangle is
[tex] lw=52 [/tex]
Also length is 5 more than twice its width,
[tex] l=2w+5 [/tex]
From the above equations
[tex] (l-w)^2=(l+w)^2-4lw=17^2-4*52=81\\
l-w=9,\; since \; l>w [/tex]
Now [tex] 2l=9+17=26\;,l=13,w=4 [/tex]
The dimensions of the rectangle are length [tex] l=13 [/tex], and width [tex] w=4 [/tex].
An event is three times as likely as its complement. What is the probability of the event?
What is QR to the nearest tenth
Tshonda is buying a laptop computer. she will pay 8% sales tax on the price before any rebates. where will she get a better buy?
XYZ-Tronic
price - $629
mail-in rebate $150
TEC-U-COMP
price - $649
discount 25% off
The above me is clearly wrong. However, the reason I'm not going to post an actual answer is because this post is over 2 years old and there is a good chance the they aren't even in school anymore.
factor 1/5 out of 1/5x+29/5
To factor 1/5 out of the algebraic expression 1/5x + 29/5, we remove the common term 1/5. This leaves us with 1/5 * (x + 29), not altering the value of the original expression.
Explanation:To factor 1/5 out of 1/5x+29/5, we first need to understand what factoring entails. Factoring is basically expressing an algebraic equation as a product of its factors.
Step 1: Look at the expression '1/5x + 29/5'. We can see that '1/5' is common in both terms.
Step 2: Factor out the common term, which in this case is '1/5'.
So the expression '1/5x + 29/5' factored out would be '1/5 * (x + 29)'. Throughout this process, we have not changed the value of the original expression, only rewritten it in a different form.
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A truck is transporting 6 cars to a dealership. Each car weighs 1 ton 1,400 pounds. What is the total weight in pounds of the cars the truck is transporting?
how do you solve for x and y
How is the degree of the product of two polynomials p(x) and q(x) related to the degrees of p(x) and q(x)?
The degree of the product of two polynomials p(x) and q(x) is equal to the sum of the degrees of p(x) and q(x).
Explanation:The degree of the product of two polynomials p(x) and q(x) is related to the degrees of p(x) and q(x) by the following rule:
The degree of the product is equal to the sum of the degrees of the two polynomials.
For example, if p(x) is a polynomial of degree m and q(x) is a polynomial of degree n, then the product p(x)q(x) will be a polynomial of degree m+n.
Alice paid $17.00 for 2 beads for her bracelet. Then she paid $42.50 for 5 more of the same kind of beads for her bracelet. Which is the price of one bead?
Answer:
Step-by-step explanation:
PLEASE HELP ASAP!!!!!
A ladder is leaning on a fence and it reaches up a wall 20 feet high. The fence is 10 feet from the wall and the base of the ladder is 12 feet from the fence. How tall is the fence, in feet?
Answer:
10.9 feetStep-by-step explanation:
The wall, fence and ladder form similar right triangles as pictured
Use the ratio of corresponding sides to solve for x, the fence height
x/12 = 20/(10+12)x/12=20/22x/12 = 10/11x = 12*10/11x = 10.9 feetThe fence is 10.9 feet tall
help please 38 points
Evaluate 2^5/2^3
A 1
B 2^8
C 4
D 8
3+45456688888876777888888
Explain how the segment addition postulate can be modeled using a real-world object.
DF bisects EDG find the value of x
Jackson goes to the gym 0, 2, or 3 days per week, depending on work demands. The expected value of the number of days per week that Jackson goes to the gym is 2.05. The probability that he goes 0 days is 0.1, the probability that he goes 2 days is , and the probability that he goes 3 days is .
For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
He goes to the gym 0, 2, or 3 days per week.
Let's assume P(0 days)=p, P(2 days)=q, and P(3 days) = r.
So, p+q+r = 1
E(X)= E(x=0)*P(0 days) + E(x=2)*P(2 days) + E(x=3)*P(3 days)
E(X) = 0*p + 2*q + 3*r = 2q + 3r
Given is the value of P(0 days) = p = 0.1
Given is the expected value of number of days is E(X) = 2.05
Therefore, we have 0.1 + q + r = 1 and 2q + 3r = 2.05
Or, q + r = 0.9 and 2q + 3r = 2.05
Solving the two equations :-
(2q+3r)-2*(q+r) = 2.05-2(0.9)
r = 0.25
q = 0.65
Therefore, P(2 days) = 0.65 and P(3 days) = 0.25
Find the nonpermissable replacement for x in this expression x^2/-4x-8
A map has a scale of 1/2 inch to 4 miles. The shortest distance between two cities on the map measures 8 inches. If d represents the shortest distance between the two cities, what is d?
A. 16 mi.
B. 32 mi.
C. 64 mi.
D. 72 mi.
Answer:
C
TOOK SAME TEST ON EDGE 2021
Organizers of an outdoor concert will use 320 feet of fencing to fence off a rectangular VIP section. What is the maximum area that they can fence off? A) 3,200 square feet B) 6,400 square feet C) 12,800 square feet D) 24,000 square feet
Answer:
B
Step-by-step explanation:
Finding the median in a data set?
9. Find the constant of variation, k, for y= –8 when x = 12.
show your work
A store charges $280 for coat. This price is 40 percent more than the amount it cost the store to buy. At the end-of-season sale, store employees may purchase any remaining coats at 30 percent off the store’s cost. How much would it cost an employee to purchase the coat at the sale?
it would cost an employee $140 to purchase the coat at the sale.
Let's break down the problem step by step:
1. The store charges $280 for the coat, which is 40% more than the amount it cost the store to buy. This means that the store's cost (let's call it ( C )) can be found by first determining what 100% of the cost is (since $280 is 140% of the cost, as 100% + 40% = 140%). We can set up the equation:
[tex]\[ 140\% \text{ of } C = $280 \]\[ 1.4C = $280 \]\[ C = \frac{$280}{1.4} \]\[ C = $200 \][/tex]
So, the store's cost for the coat is $200.
2. At the end-of-season sale, store employees can purchase any remaining coats at 30% off the store’s cost. This means they pay 70% of the store's cost. We can calculate this as:
[tex]\[ 70\% \text{ of } $200 = 0.7 \times $200 = $140 \][/tex]
Therefore, it would cost an employee $140 to purchase the coat at the sale.
Sara hiked down a mountain for 4 hours. Each hour her elevation decreased by 8 meters. Compute her change in elevation to her starting point.
Sara's change in elevation is calculated by multiplying 4 hours by -8 meters/hour. This gives a total change in elevation of -32 meters, which shows that Sara descended 32 meters from her starting point.
Explanation:The subject of your question is math, specifically dealing with the concept of multiplication. To determine Sara's change in elevation, we have to know how much the elevation decreases each hour. It's important to note that the decrease in elevation is the same as saying Sara is descending, thus the change will be represented by a negative number.
In this case, for every hour Sara hiked, her elevation decreased by 8 meters. Therefore, the total change in elevation after 4 hours would be 4 hours multiplied by -8 meters/hour. The calculation for this is:
4 hours * -8 meters/hour = -32 meters
Therefore, Sara hiked down a total of 32 meters from her starting point on the mountain.
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