Allen buys the same number of baseball cards each month to add to a card collection he was given. Use the table to determine how many baseball cards he was given and how many he buys each month.
Answers
Answer:
H.
Step-by-step explanation:
I believe this is the answer because when you look at the problem and see the rate of change pattern months go +2 , +3, +2, and +3. Then when you look at the cards rate of change 80-44=36, so +36 then 104-80=24, so +24. as you can see when you subtract the rates if change between the cards (36-24), you get 12. Therefore y=12x. next you go along with the pattern and find the y-intercept by doing 44-24=20. Sorry it is kinda hard to explain, but hope this helps!
Allen was given 20 cards , and he buys 12 cards each month
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Let the number of cards be y
Let the number of months be x
Let the first point be P ( 5 , 80 )
Let the second point be Q ( 7 , 104 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 104 - 80 ) / ( 7 - 5 )
m = 24 / 2
m = 12 cards per month
So , the equation of line is y - y₁ = m ( x - x₁ )
y - 80 = 12 ( x - 5 )
Adding 80 on both sides , we get
y = 12x + 20
So , when x = 0
y = 20 cards in the initial month
Hence , the equation of line is y = 12x + 20 and Allen has 20 cards in his initial month
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ2
Related Questions
ALGEBRA
write the word sentence as an inequality
1. 2 is more than a number v.
2. a number h is at most 15.
3. a number p is less than 1/2
4. 12 is fewer than a number n.
Answers
Answer:
11,7,5,3
Step-by-step explanation:
thats all thank you
What is y=4^-x as a percentage to the nearest tenth? Please help!
Answers
Answer: To convert a number into percent multiple it by 100 and then add the percent sign. These examples convert the numbers 23 and 158 to percents. To convert a number with a decimal into percent, multiply it by 100 and add the percent sign. These examples convert 0.4580; 0.0257; and 0.00458.
Hope this help
Step-by-step explanation:
GIVING OUT BRAINLIEST ANSWER HELP PLSSSS
Answers
Answer:
x = 63.43...
Step-by-step explanation:
Ok, so the angle x is the same measure as the bottom right angle of the triangle because the bottom of the triangle and the dashed line are parallel. Knowing this we can simply solve for the bottom right angle and it will be the same as angle x.
To do this we can set up and equation with tangent because we are working with the opposite and adjacent sides of the triangle.
[tex]Tan(x) = \frac{opposite}{adjacent} = \frac{50}{25} = 2[/tex]
[tex]Tan(x)=2\\[/tex]
Now to isolate the variable, we can simply use the cotangent or inverse tangent.
[tex]Tan^{-1}(Tan(x)) = Tan^{-1}(2)\\x = Tan^{-1}(2)\\x = 63.43...[/tex]
My grandfather has a big collection of sliver dollars and 50-cent pieces.
Answers
Answer:
thats cool
Step-by-step explanation:
A Business Has 384 cases of water. There Are 42 bottles of water does the business have
Answers
Answer:
Step-by-step explanation:
3 Terrence uses pieces of wood that are 10 inches long to
make whistles. He has a piece of wood that is 122 feet
long. How many whistles can he make?
Answers
Answer:
146 whistles
Step-by-step explanation:
First, convert 122 feet to inches, by multiplying it by 12
122(12)
= 1464
Divide this by 10 to find how many whistles he can make
1464/10
= 146.4
Since we can only have a whole number of whistles, we have to round down to 146.
So, he can make 146 whistles
Find the area of the triangle 14 Ft 17 ft
Answers
Answer:
119
Step-by-step explanation:
14x17 = 238)/2
there are 50 pupils in a class out of this 1/10 speak french only and 4/5 of the remainder speak both french and english. if the rest speak to english only, find the number of students who speaks both english and french?
English only?
Answers
Answer:
English and French:40 and English:10
Step-by-step explanation:
English and French:4÷5×50
=40
English:1÷10×50
=10
What is the equation of the line perpendicular to y=1/2x+6 that passes through points 4,1
Answers
2x - 5 < 33 what are all the values to this inequality
Answers
Answer:
x < 19
Step-by-step explanation:
Given that,
An inequality 2x - 5 < 33.
LHS of the inequality is 2x - 5
RHS of the inequality is 33
LHS < RHS
i.e.
2x - 5 < 33
Add 5 to both sides of the inequality
2x - 5 +5 < 33+5
2x < 38
Divide both sides by 2.
x < 19
So, the value of x is less than 19.
The grade point average of 4 randomly selected college students is recorded at the end of the fall and spring semesters of their senior year, as follows: Student 1 2 3 4 Fall 2.6 3.0 1.5 1.4 Spring 1.7 2.2 1.4 0.90 Construct a 95% confidence interval for the mean difference in GPA
Answers
Answer:
(-0.607 ; 1.757)
Step-by-step explanation:
Student: __ 1 ___ 2 ___ 3 ___ 4
Fall _____2.6__ 3.0__ 1.5 __1.4
Spring___ 1.7__ 2.2 __1.4 __0.90
Using calculator :
Fall:
Xbar1 = 2.125
Sample size, n1 = 4
Standard deviation, s1 = 0.8
Spring :
Xbar2 = 1.55
Sample size, n2 = 4
Standard deviation, s2 = 0.54
Confidence interval :
(xbar1 - xbar2) ± Tcritical * Sp* √1/n1 + 1/n2
Sp = √[(df1*s1² + df2*s2²) ÷ (n1 + n2 - 2)]
df = n - 1
(xbar1 - xbar2) = 2.125 -1.55 = 0.575
Hence,
Sp = √(((3*0.8^2) + (3*0.54^2)) / 6)
Sp= √2.7948 ÷ 6
Sp = √0.4658
Sp= 0.682
Tcritical at 95%, df = 4 = 2.45
Error margin = 2.45 * 0.682 * √1/4 + 1/4 = 1.182
Confidence Interval:
Lower boundary = 0.575 -1.182 = -0.607
Upper boundary = 0.575 + 1.182 = 1.757
(-0.607 ; 1.757)
Eva is a hairdresser. Before her lunch break, she gave 4 haircuts and colored the hair of 4 clients in 376 minutes. After lunch, she gave 2 haircuts and colored the hair of 4 clients in 336 minutes. How long does it take for Eva to perform each type of service, assuming the amount of time doesn't vary from client to client?
Answers
Step-by-step explanation:
ratio 6:8
376+336=712
6+8=14
712/14=50.86
haircut= 50.86*6=305.16
colour= 50.86*8=406.88
i hope this helps
start time 2 p.m. elapsed time blank and time 8:30 p.m.
Answers
Answer:
Well I guess this is a math problem but the middle time would be: 6 hours and 30 minutes.
Step-by-step explanation:
Adding 6 hours to 2 pm makes 8:00 on the dot at night. Adding 30 minutes to 8:00 would be 8:30. There you have your answer.
- У
D 14x
. A high-school band has d drummers
and 10 violinists. There are 2 more
violinists than drummers. Which of the
following equations represents the
situation?
A d= 10 + 2
B d= 10-2
Cd=2 - 10
D d= 2 x 10
Answers
solve by completing the square! (will give brainliest for work!!!)
x ^ 2 - 2x = - 26
Answers
Answer:
Step-by-step explanation:
x²-2x=-26
add both sides (-2/2)² or 1
x²-2x+1=-26+1
x²-2x+1=-25
(x-1)²=25×-1
(x-1)²=5²×i²=(5i)²
x-1=±5i
x=1±5i
The hypotenuse of a right triangle is 8 meters longer than the shortest leg. The longest leg is 4 meters. Longer than the shortest leg find the length of the longest leg
Answers
Answer:
the leg is 6.9
Step-by-step explanation:
use the reverse Pythagorean therm
find the square root of 8(squared) - 4(squared) =6.9
The sum of two consecutive numbers is 5. Find the equation representing
the same.
Answers
Answer:
Step-by-step explanation:
Let the smallest number = x
The next number will be x + 1
x + x + 1 = 5
2x + 1 = 5 This is likely the answer to the question although it could be the equation above.
Please explain (will also give brainliest if you put all the steps)
Answers
Answer:
A = 139.5 cm^2
Step-by-step explanation:
Ok, let's break it down into pieces. First let's find the area of the main rectangle. We know that the area of a rectangle is as follows:
A = L x W
A = 9 x 12
A = 108 cm^2
Now we need to find the area of the two triangles. There are two ways to approach this. If you can visualize that you can flip the first triangle and slide it against the second, it becomes a rectangle. Then you can simply use the same formula as before with modified numbers.
L = 7 (height of the triangle
W = 4.5 (base of the triangle (half of 9))
A (both triangles) = 7 x 4.5
A (both triangles) = 31.5 cm^2
If you can't quite figure out how to visualize that, you can simply treat them as two independent right triangles. The formula for the area of a right triangle is as follows:
A = (1/2)b x h
b = 4.5
h = 7
A (first triangle) = (1/2)4.5 x 7
A (first triangle) = 15.75 cm^2
The area of the second triangle is identical
A (second triangle) = 15.75 cm^2
The area of the two triangles added together is
A (both triangles) = A (first triangle) + A (second triangle)
A (both triangles) = 31.5 cm^2
As you can see we got the same answer both ways. Now we just have to add the area of the two triangles to the area of the rectangle
A = 108 + 31.5
A = 139.5 cm^2
pls help thx x, wont take to long:)
Paulo gave half of his candies to Pablo. Pablo gave half of his candies to Paulina. Paulina gave 1/4 of the candies given to her to Paulette and kept the remaining 27. How many candies did Paulo start with?
Answers
27/3=9, 9•4=36, 36•2=72, 72•2=144
Leo is saving money to buy a snowboard. In March, he saved
$200. In April, he saved 35% more than what he saved in
March. How much did he save in April?
Answers
Answer:
$270
Step-by-step explanation:
35%= 0.35
200*0.35 =70
He saves $70 more.
Altogether saves $270
Before editing, a movie is 120 min long. The edited movie is 25% shorter. What is the
length of the edited movie?
Answers
Answer:
90
Step-by-step explanation:
the movie was 25% shorter
25% of 120 is 30
120-30=90
PLEASE HELP FAST!!!!
Answers
Answer:
Option C. The graph has an oblique asymptote
Step-by-step explanation:
hope it helps...
have a great day
Answer:
C
Step-by-step explanation:
explain it how a 9th grader would
Answers
Answer:
a) The golf ball reaches a height of 64 feet.
b) The golf ball will take 2 seconds to reach maximum height.
c) The golf ball will take 4 seconds to land after being hit.
d) The golf ball will be 48 feet above ground 1 and 3 seconds after being hit.
Step-by-step explanation:
a) The parabolic motion of the golf ball is described by a second order polynomial, that is, the equation of the parabola. To determine the maximum height of the golf ball, we need to transform the equation of the parabola given into vertex form:
[tex]h = -16\cdot (t^{2}-4\cdot t)[/tex]
[tex]h - 64 = -16\cdot (t^{2}-4\cdot t + 4)[/tex]
[tex]h - 64 = -16\cdot (t-2)^{2}[/tex]
From this form we can obtain relevant information of the maximum height of the golf ball, contained in the left side of the equation. On this approach, we conclude that the golf ball reaches a height of 64 feet.
b) The time taken by the golf ball is contained in the right side of the formula. That is, the golf ball will take 2 seconds to reach maximum height.
c) In this case, we need to factor the polynomial to find right times, that is:
[tex]h = 64\cdot t - 16\cdot t^{2}[/tex]
[tex]h = 16\cdot t \cdot (4 - t)[/tex]
The time taken by the golf ball to land is contained in the second binomial. In a nutshell, the golf ball will take 4 seconds to land after being hit.
d) If we know that [tex]h = 48[/tex], the time taken by the golf ball to be 48 feet above the ground is:
[tex]64\cdot t - 16\cdot t^{2} = 48[/tex]
[tex]16\cdot t^{2}-64\cdot t +48 = 0[/tex]
By Quadratic Formula, we have the following roots:
[tex]t_{1} = 3[/tex], [tex]t_{1} = 1[/tex]
The golf ball will be 48 feet above ground 1 and 3 seconds after being hit.
∠X=5x+30
∘
\angle \mathrm{Y}=3\mathrm{x}+60^{\circ}∠Y=3x+60
∘
Answers
Corresponding angles on parallel lines cut by a transversal are equal
5x + 30 = 3x + 60
Subtract 3x from both sides
2x + 30 = 60
Subtract 30 from both sides
2x = 30
Divide both sides by 2
X = 15
Determine the radius of a cylinder with the curved area 24cm squared and height 2.0cm
Answers
Answer:
the radius of the cylinder is 1.91 cm
Step-by-step explanation:
Given;
curved area of the cylinder, A = 24 cm²
height of the cylinder, h = 2.0 cm
The curved surface area of a cylinder is given as follows;
Curved surface area = 2πrh
where;
r is the radius of the cylinder
24 = 2πrh
r = 24 / (2πh)
r = 24 / (2π x 2)
r = 24 / (4π)
r = 1.91 cm
Therefore, the radius of the cylinder is 1.91 cm
The information systems department of your firm has developed a new database program to store critical information on point of sale purchases. The purchases are made during a busy time of day when the computer is performing many tasks so the amount of computer time used for each transaction is very critical. The old database program would take an average of 55 milliseconds to retrieve one piece of data. The IS department hopes the new program will reduce this time to retrieve data. The new program was tested during a typical day. The number of data retrievals was 144 and the average time to retrieve a piece of data was 53 milliseconds with a sample standard deviation of 16 milliseconds.
a) State the null and alternative hypothesis.
b) Calculate the test statistic.
c) Using the P-value approach in your decision making, at the 0.05 level of significance, is there evidence that the new computer program has reduced the time to retrieve the data? Report p-value and use it to support your conclusion.
d) Does your conclusion in part c) change if an a of 0.025 is used?
Answers
Step-by-step explanation:
x'=53
σ=16
n=144
a) hypothesis
H0:µ=55
Ha:µ<55
This is a left tailed test
b) Test statistics
z=(x'-u)/(sigma/sqrt {n})=(53-55)/(16/sqrt{144})
=-1.5
c)Pvalue at z=|-1.5|
pvalue= p(z>1.5)
=1-0.933193
=0.066807
=0.0668
Decision
since pvalue>alpha(0.05) fail to reject the null hypotheis.
Conclusion
There is not sufficient evidence to support the claim the new computer program has not reduce the time to retrieve the data.
d)since Pvalue>alpha(0.025),so fail to reject the null hypothesis.
No, change in conclusion.
HELP! WILL GIVE BRAINLIEST!!!
Answers
Answer:
D
Step-by-step explanation:
As you can see from the image attached below, the equation that is being graphed is
F(x) = [tex]\frac{x}{(x+4)(x-1)}[/tex]
This equation splits off into various directions because the denominator is turns into a quadratic equation. Once solved it provides two values for which the quadratic equation would equal zero. Since this equation is the denominator 0 would give a null value and is why on the graph there is no y value for 1 or -4. Yet all other values are valid and have an different y output.
Find the area of this triangle
Answers
Use Heron's formula.
A = sqrt{(s - a)*s - b)(s - c)}, where a, b, and c represent the sides of the triangle.
We need to find s first.
So, s = (a + b + c)/2.
s = (13 + 6 + 9)/2
s = 28/2
s = 14
We now plug everything into the Heron's area formula.
A = sqrt{(14 - 13)(14 - 9)(14 -6)}
A = sqrt{(1)(5)(8)}
A = sqrt{40}
A = 6.3245553203
Let us now round to one decimal place as instructed. We round to the tenths place, in other words.
A = 6.3 cm^2
Did you follow?
Hi, will ya'll please help me..?
Answers
Answer:
1. 48
2. 45
3. 32
4. B
Step-by-step explanation: Hope this help :D
if 4200 out of 5600 person's voted in an election the percentage which did not vote was
Answers
Answer:
25%
Step-by-step explanation:
If the total number of people is 5600, then to find the number of people that did not vote you subtract 4200 from 5600.
5600-4200=1400
Then you can set up the number of people who didnt vote as equal to a percentage over 100
1400/5600=x/100
140000/5600=x
25=x