Answers
Answer:
A
Step-by-step explanation:
just add 1 to each side and divide by 2
Related Questions
The equation p = 3.25b can be used to find the price, p, in dollars, of b pounds of blueberries at a particular supermarket. Each of the tables gives the prices of various pounds of blueberries at a different supermarket. Which of these tables represents blueberries that are more expensive than those represented by the equation? Select all that apply.
Answers
Answer:
Table C, Table D, Table E
Step-by-step explanation:
See attachment for tables
Given
[tex]p = 3.25b[/tex]
Required
Which of the tables is more expensive than the given function
To answer this question, we simply determine the equation of each table and then compare the equation with [tex]p = 3.25b[/tex]
Table A:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (1,2.75)[/tex]
[tex](b_2,p_2) = (4,11)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{11 - 2.75}{4 - 1}[/tex]
[tex]m = \frac{8.25}{3}[/tex]
[tex]m = 2.75[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 2.75 = 2.75(b-1)[/tex]
[tex]p - 2.75 = 2.75b-2.75[/tex]
[tex]p = 2.75b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]2.75 < 3.25[/tex]
Hence:
This equation is less expensive than [tex]p = 3.25b[/tex]
Table B:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (1.5,3.75)[/tex]
[tex](b_2,p_2) = (6,15)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{15 - 3.75}{6 - 1.5}[/tex]
[tex]m = \frac{11.25}{4.5}[/tex]
[tex]m = 2.5[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 3.75 = 2.5(b-1.5)[/tex]
[tex]p - 3.75 = 2.5b- 3.75[/tex]
[tex]p = 2.5b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]2.5 < 3.25[/tex]
Hence:
This equation is also less expensive than [tex]p = 3.25b[/tex]
Table C:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (2,7)[/tex]
[tex](b_2,p_2) = (4,14)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{14 - 7}{4 - 2}[/tex]
[tex]m = \frac{7}{2}[/tex]
[tex]m = 3.5[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 7 = 3.5(b - 2)[/tex]
[tex]p - 7 = 3.5b - 7[/tex]
[tex]p = 3.5b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]3.5 > 3.25[/tex]
Hence:
This equation is more expensive than [tex]p = 3.25b[/tex]
Table D:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (2.5,10)[/tex]
[tex](b_2,p_2) = (5,20)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{20 - 10}{5 - 2.5}[/tex]
[tex]m = \frac{10}{2.5}[/tex]
[tex]m = 4[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 10 = 4(b - 2.5)[/tex]
[tex]p - 10 = 4b - 10[/tex]
[tex]p = 4b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]4 > 3.25[/tex]
Hence:
This equation is more expensive than [tex]p = 3.25b[/tex]
Table E:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (6, 22.5)[/tex]
[tex](b_2,p_2) = (12,45)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{45 - 22.5}{12 - 6}[/tex]
[tex]m = \frac{22.5}{6}[/tex]
[tex]m = 3.75[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p - 22.5 = 3.75(b - 6)[/tex]
[tex]p - 22.5 = 3.75b - 22.5[/tex]
[tex]p = 3.75b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]3.75>3.25[/tex]
Hence:
This equation is more expensive than [tex]p = 3.25b[/tex]
Table F:
Consider two corresponding points in the table, we have:
[tex](b_1,p_1) = (7, 21)[/tex]
[tex](b_2,p_2) = (14,42)[/tex]
Determine the slope
[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]
[tex]m = \frac{42 - 21}{14 - 7}[/tex]
[tex]m = \frac{21}{7}[/tex]
[tex]m = 3[/tex]
The equation is determined as follows:
[tex]p - p_1 = m(b-b_1)[/tex]
[tex]p -21 =3(b -7)[/tex]
[tex]p -21 =3b -21[/tex]
[tex]p = 3b[/tex]
Comparing this equation to [tex]p = 3.25b[/tex], we have that:
[tex]3 < 3.25[/tex]
Hence:
This equation is less expensive than [tex]p = 3.25b[/tex]
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!!!!
Answers
Answer:
11fl oz/per hr divided by 5.333=2.0625 or rounded to the nearest tenth 2.1 gallons per day.
Step-by-step explanation:
Please help ASAP!!!!
Answers
Jacob split the cost of snacks, which was $12.24, with two friends. Before they ate, another friend joined them and paid Jacob for his fourth of the cost.
How much does Jacob need to refund each of the other two friends so that everyone pays the same amount?
Answers
Answer:
3.06
Step-by-step explanation:
12.24/4
Answer:
4.08
Step-by-step explanation:
Melissa collects data on her college graduating class. She finds out that of her classmates,40%are brunettes ,30%have blue eyes and 5% are brunettes that have blue eyes. What is the probability that one of melissa's classmates will be a brunette or have blue eyes?
Answers
Help me. 1,2,3, and 4 are the only options for all letters so there is no lack of information in this picture.
Answers
Answer:
Step-by-step explanation:
a: 2
b: 4
c: 3
d: 4
e: 6
Identify the y-intercept
A. 0-2
B. 0-3
C. 0-4
D. 6-2
Answers
Explanation: the line hits the y-axis at the point (0,4)
Solve absolute value equation 2|x-3|-8=2
Answers
Answer:
[tex]x=8, -2[/tex]
Step-by-step explanation:
[tex]2|x-3|-8=2[/tex]
[tex]2|x-3|=10[/tex]
[tex]|x-3|=5[/tex] [tex]|x-3|=-5[/tex]
[tex]x-3=5[/tex] [tex]x-3=-5[/tex]
[tex]x=8[/tex] [tex]x=-2[/tex]
What is angle KNL
Enter your answer in the box
[]
Answers
Answer:
20
Step-by-step explanation:
So in case you did not know, MNJ and KNL have the same angle measure, so to find x you would just set each of the eqautions equal to each other. distribute the 3 to (x + 14) and get 5x+ 2 = 3x + 42. subtract 2 from one side and do the same on the other side. this would leave your eqaution looking like this: 5x-40= 3x, next subtract 5x from both sides and you will get -2x=-40, then vide by -2 and x will equal 20
Which cube is formed by folding the pattern?
Answers
Answer:
b
Step-by-step explanation:
Find the y-intercept in the function: 3x - 2y = 6*
Answers
hi there! the y-intercept in the function is...
3 + 3x/2
hope this helped. have a good one!
Bicycle rentals cost $5.00 per hour for an adult and $2.50 per hour for a child.
A family with one adult and 2 kids decide to rent bicycles.
Which equation represents the relationship between the cost in dollars
for the family, c, and the time they rent the bicycles in hours, t?
A) c = 5.00t + 2.50
B) c = 7.50t
C) c = 5.00 + 2.50t
Dc = 10.00t
Answers
Answer:
B
Step-by-step explanation:
Have a good day!
A new television set was recently purchased for the common room in a Residence Hall for $408.00 including tax. If the tax rate is 2% , find the price of the television set before taxes.
Answers
Answer:
399.84
Step-by-step explanation:
408.00 x .98 (2% reduction from 100) = 399.84
I need help please 20 points
Answers
Answer:
5^9
Step-by-step explanation:
subtract them. base (5) stays the same
If you were to buy 3 1/8 pounds of ham from the deli counter, the digital scale would show
Answers
Answer:
3.125 pounds
Step-by-step explanation:
Digital scale would show weights in decimal form
3 1/8 = 3.125 pounds
3(4x - 2) > 7x + 19
Answers
Answer:
12x-6>7x=19
Step-by-step explanation:
What are the values of x and y if this equation is true?
22(x + yi) + (28 + 4i) 72 – 62i
Answers
Answer:
x = 2
y = -3
Step-by-step explanation:
The given equation is,
22(x + yi) + (28 + 4i) = 72 - 62i
By solving this equation further,
22x + 22yi + 28 + 4i = 72 - 62i
(22x + 28) + (22y + 4)i = 72 - 62i
Now both the sides of the equation is in the form of complex number,
By comparing real and imaginary parts given on both the sides,
22x + 28 = 72
22x = 72 - 28
22x = 44
x = 2
22y + 4 = -62
22y = -62 - 4
22y = -66
y = -3
Therefore, x = 2 and y = -3 are the values for which the given equation is true.
In one month, Jillian made 36 local phone calls and 20 long distance calls.
What was her ratio of local calls to long distance calls for that month?
A. 2:1
B. 3:2
C. 9:4
D. 9:5
Answers
Answer:
D.
Step-by-step explanation:
Because 36:20 simplified is 9:5.
Answer:
It is D 9:5
Step-by-step explanation:
Beacuse 9x4= 36
and 5x4= 20
so 36:20 or 9:5
What can you triple and then subtract by 1 to get 29
Answers
Answer:
10 would be the answer :)
Which inequality is true?
Answers
Answer:
2 1/3 > 2 1/6
Step-by-step explanation:
2.33 > 2.17 True
How do you know if it is inequality or not w/ fraction?
An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.
To solve an inequality using the following steps:
1) Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
2) Simplify by combining like terms on each side of the inequality.
3) Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Answer:
B
Step-by-step explanation:
I did the quiz
Anne owns a used car lot and in order to get cars to sell, she buys used cars at an
auction place. It costs $200 to attend the auction and she buys used cars at
$2,000 each. Last Tuesday, she purchased 10 cars. Which of the following
functions correctly represents this situation in function notation?
f(x) = 10x + 200
f(x) = 200x + 2,000
f(x) = 2,000x + 10
f(x) = 2,000x + 200
Answers
Answer:
It would be 2,000x+200
Step-by-step explanation:
okay it costs $200 to attend so that's a cost you are going to have to pay regardless. The $2,000 depends on how many cars you buy. So it would be 2,000 (times how ever many cars you buy) plus the $200.
Suppose that R and S are points on the number line. If RS=9 and R lies at -6 where could S be located
Answers
Answer:
at 3
Step-by-step explanation:
because iin a number line we have positives and negatives if rlR is at nine then S is at 3
A student is working two jobs over the summer to pay for a new car. The student gets paid $25 for each lawn that
is mowed ( 2 )and $15 for each pool that is cleaned (y). The student wants to earn $750 to pay for a down payment
on a car.
•What is the y-intercept
Answers
Answer:
y=50
Step-by-step explanation:
25(0)+15y=750
0+15y=750
15y=750
y=50
Select all that apply
Which of the following name a line in the drawing ?
Answers
Answer:
I think FC but not sure
Step-by-step explanation:
the respn os that we looc at both sides f the line and see what the letters are
Answer:
DB
Step-by-step explanation:
just did it got it correct
The volume of the box is modeled by the function V (x) = 5x^2 + 5x. What is the volume when x= 4?
А-120 cubic units
B-30 cubic units
C-100 cubic units
D-45 cubic units
Answers
V= 5 x 16 + 20
V= 80+ 20
V= 100
Answer is C 100 cubic units
The volume of box at x = 4 is, 100 cubic units
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
We have to given that;
The volume of the box is modeled by the function,
⇒ V (x) = 5x² + 5x
Now, At x = 4;
The volume of the box is,
⇒ V (x) = 5x² + 5x
⇒ V (4) = 5 × 4² + 5 × 4
⇒ V (4) = 5 × 16 + 20
⇒ V (4) = 80 + 20
⇒ V (4) = 100 cubic units
Learn more about the cuboid visit:
https://brainly.com/question/26403859
#SPJ2
Rona filled out this information on her monthly statement. Find Rona's revised statement balance. Does her account reconcile?
Checking Account Summary
Ending Balance
$ 72571
Deposits
+ $610.00
Checks Outstanding - $ 471.19
Revised Statement Balance
Check Register Balance $ 864.52
Answers
Answer:
Revised statement balance=$ 864.52
Yes Rona's is account reconcile
Step-by-step explanation:
Calculation to Find Rona's revised statement balance
Using this formula
Revised statement balance=Ending balance+Deposits-Checks Outstanding
Let plug in the formula
Revised statement balance=$ 725.71+$610.00-$ 471.19
Revised statement balance=$ 864.52
Based on the above calculation the Revised statement balance of the amount of $ 864.52 is equal to the balance from checkbook which simply means that Rona's ACCOUNT is RECONCILE
You want to order Chiken nuggets for you and your friends . You want to know how much to pay for 5 orders of chicken nuggets if each order is$2
Answers
Answer:
10$
Step-by-step explanation:
just because
Answer:
$10
Step-by-step explanation:
What we know: you want to pay for 5 order of chicken nuggets.
Each order is $2
So...
5 orders of nuggies × $2
Total: $10 for nuggies
find the slopes of the linear equations
Answers
Answer:
m is the slope.
b is the y intercept.
slope intercept is in the form: y = mx + b.
y - 4 = 3 (x - 2) [m = 3] [slope is 3]
y = 3/4x - 7 [m = 3/4] [slope is 3/4]
y + 8 = -6 (x - 1) [m = -6] [slope is -6]
y = -5x + 10 [m = -5] [slope is -5]
4x + 5y = 20 [m = -4/5] [slope is -4/5]
Explanation:
For all of these equations, make sure they are all in slope intercept form by isolating y completely, and getting it on the left side of the equation.
y - 4 = 3 (x - 2) → y - 4 = 3x - 6 → y = 3x - 2 → y = mx + b.y = 3/4x - 7 → y = mx + by + 8 = -6 (x - 1) → y + 8 = -6x + 1 →. y = -6x - 7 → y = mx + by = -5x + 10 → y = mx + b4x + 5y = 20 → 5y = -4x + 20 → y = -4/5x + 4 → y = mx + bCan someone please answer this question for me 3(7q−10)
Answers
Answer:
21q-30
Step-by-step explanation:
If u use the distributive property, 3*7 is 21, therefore it would be 21q, and 3*10 is 30, so, the final answer would be 21q-30.
Solve 12-5x-4kx=y for x
Answers
Answer:
x = - y-12/5+4k
Step-by-step explanation:
Solve 12-5x-4kx=y for x
12-5x-4kx = y for x
substract 12 from both side
-5x-4kx = y-12
Factor of -5x-4kx = -x(5+4k)
-x(5+4k) = y-12
Solve for x
-x = y-12/(5+4k)
Therefore x = - y-12/5+4k