A pack of 12 retractable pens costs $12.24.
What is the price of 6 pens?
Answer:
Step-by-step explanation:
Cost of 12 pens = 12.24
Cost of each pen = 12.24 ÷ 12 = 1.02
Cost of 6 pens = 6.12
3 x 2/3 = ?
please answer as quick as possible!
Answer:
2
Step-by-step explanation:
50 POINTS! false answers will be reported and u wont get points
Can a solution to this equation be 3, because then both sides would have divide by 0?
Answer:
Step-by-step explanation:
If we multiply x - 7 by x - 3, we get x^2 - 10x + 21. This shows that the LCD is x^2 - 10x + 21, or (x - 7)(x - 3). Let's convert each of the two fractions on the right to their equivalents, with the LCD in the denominator.
Multiplying both the numerator and the denominator of 6/(x - 7) by (x - 3), we get 6(x - 3) over x^2 - 10x + 21, which is the LCD.
Similarly, we get 5(x - 7) over x^2 - 10x + 21.
Now all three of the original fractions have the same denominator, x^2 - 10x + 21. We can now "drop" the LCD, which leaves us with:
x^2 - 29 = 6(x - 3) + 5(x - 7)
Performing the indicated multiplications, we get:
x^2 - 29 = 6x - 18 + 5x - 35. Combining like terms:
x^2 - 29 = 11x - 53, or x^2 - 11x + 24 = 0
This factors as follows: x^2 - 11x + 24 = 0 = (x - 3)(X - 8) = 0
Then the preliminary solutions are x = 3 and x = 8. Unfortunately, we cannot substitute x = 3 into the original equation, because that would lead to division by zero. The only valid solution is x = 8, since every term of the original equation is defined at x = 8, and the equation is true for this value.
Repeat: 3 cannot be a solution because the 3rd fraction is undefined at
x = 3. So we have only one valid solution (8) with no other solution to multiply by 8.
Answer: You may divide by a variable. But only if you know the variable is non-zero. So, if setting the variable to zero makes both sides of the equation zero, we have a solution that that variable is 0, or the equation with the variable divided out holds. E.g. solve x(x-1) = 0.
solve all of these ?
21 Answer:
[tex] \frac{3}{a} [/tex]
22 Answer:
[tex] \frac{1}{ {b}^{3} } [/tex]
23 Answer:
[tex] \frac{ {4a}^{2}c^{3} }{ {b}^{2} } [/tex]
24 Answer:
[tex]9c ^{4} [/tex]
25 Answer:
[tex] - \frac{1}{ {a}^{2} } [/tex]
26 Answer:
[tex] \frac{1}{ {c}^{2} } [/tex]
Which scatterplot shows a nonlinear association?
Answer:
B
Step-by-step explanation:
B shows a parabola, which is a quadratic equation, not a linear one.
The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis. On the graph, each individual in the data is represented by a point.
What is scatter plot?A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.
here, we have,
we know that,
The relationship between two economic phenomena, such as employment and output, inflation and retail sales, and taxes and economic growth, can be visually illustrated using scatter plots.
Spread Plots. Points on a scatter (XY) plot depict how two sets of data relate to one another. Each dot in this illustration represents a person's weight in relation to their height. (The information is displayed as "Cartesian (x, y) Coordinates")
Display a connection between the data and a trend. Display all data points, including outliers, minimum, and maximum values. can draw attention to relationships. the sample size and exact data values are retained.
To learn more about scatterplots refer to:
brainly.com/question/6592115
#SPJ7
A mountain climber found that the relationship between his altitude and the surrounding air
temperature is linear. The function f (a) = - -100 a + 75 represents this relationship, where a
is the altitude in meters and f(a) is the temperature in degrees Fahrenheit. According to this
function, by how much is the temperature decreasing for every meter that the mountain climber's
altitude increases?
IF
100
O IF
100
75 F
-75F
Answer:- 1/100 degrees Fahrenheit
Step-by-step explanation:
The directions say decreasing so it has to be negative, and the slope is showing how much it is decreasing every meter. y=mx+b. The mx is the slope which is where the answer is located.
Stephanie and Jill share a reward of $65 in a ratio of 1:4. How much does Stephanie
get?
Answer:
Step-by-step explanation:
Each part is equal to 65/(1+4)=$13
Since Stephanie only got 1 part, she got $13.
can someone answer? can someone pls tell me these two graphs i’m confused pls answer i’ll give brainlist and points
Answer:
you put the 3 and the 1 on the graph a you get your answer
Step-by-step explanation:
Help me pls and thank you
just chose the last one 75% are stars
Unfortunately, the road from Fordyce and Sheridan is closed due to dangerous road conditions caused by the recent bad weather. Find the shortest route between each pair of towns
Answer:
a) Malvern - Sheridan - Pine Bluff
b) Camden - Fordyce - Pine Bluff
c) Benton - Malvern - Sharidan - Arkadepia
d) Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden - Fordyce
e) Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden
Step-by-step explanation:
P.S - The exact question is -
Given - According to a map of Arkansas, a number of good roads connect
some of the towns south of Little Rock. The road between
Malvern and Benton is 23 miles long, and between Benton and Pine
Bluff is 62 miles long. The road between Malvern and Sheridan is
28 miles long, and then from Sheridan to Pine Bluff is 22 miles
long. Arkadelphia is connected to two towns: it is 12 miles from
Gurden and 21 miles from Sheridan. Fordyce has three roads to
these towns: 45 miles to Pine Bluff, 39 miles to Sheridan, and 27
miles to Camden. The road from Gurden to Camden is 38 miles.
To find - Unfortunately, the road from Fordyce to Sheridan is closed due to
dangerous road conditions caused by the recent bad weather. Find
the shortest route between each pair of towns:
a) Malvern and Pine Bluff
b) Camden and Pine Bluff
c) Benton and Arkadelphia
d) Fordyce and Malvern
e) Benton and Camden
Proof -
The figure is as follows :
a)
Shortest route between Malvern and Pine Bluff :
Firstly, put all the vertices to ∞
Start from Malvern ,
Check the shortest distance from the corresponding vertices of Malvern.
Shortest Distance = min { Malvern - Benton, Malvern -Sheridan }
= min { 23, 28 } = 23
⇒Shortest distance is 23 ( Malvern -Benton )
Now,
Check shortest distance from Benton and Malvern
Shortest Distance = min { Benton - Pine Bluff, Malvern -Sheridan }
= min { 62, 28 } = 28
⇒Shortest distance is 28 ( Malvern -Sheridan )
Now,
Check shortest distance from Benton and Sheridan
Shortest Distance = min { Benton - Pine Bluff, Sheridan - Pine-Bluff}
= min { 85, 50 } = 50
⇒Shortest distance is 50 ( Sheridan - Pine-Bluff )
So,
By back tracking , we get
Shortest Route be -
Malvern - Sheridan - Pine Bluff
And the Shortest distance be = 50 miles
b)
Shortest Route between Camden and Pine Bluff
From Camden -
Shortest Distance = min {Camden-Fordyce, Camden-Gurden }
= min { 27, 38 } = 27
⇒Shortest Distance = 27 (Camden-Fordyce )
Now,
Check Shortest distance from Camden and Fordyce
Shortest Distance = min { Camden-Gurden, Fordyce-Pine Bluff }
= min { 38, 72 } = 38
⇒Shortest Distance = 38 ( Camden-Gurden )
Now,
Check Shortest Distance from Gurden and Fordyce
Shortest Distance = min { Gurden-Arkadepia, Fordyce-Pine Bluff }
= min { 50, 72 } = 50
⇒Shortest Distance = 50 ( Gurden-Arkadepia )
Now,
Check Shortest Distance from Arkadepia and Fordyce
Shortest Distance = min { Arkadepia - Sharidan, Fordyce-Pine Bluff }
= min { 71, 72 } = 71
⇒Shortest Distance = 71 ( Arkadepia - Sharidan )
Now,
Check Shortest Distance from Sharidan and Fordyce
Shortest Distance = min { Sharidan - Pine Bluff , Fordyce-Pine Bluff }
= min { 93, 72 } = 72
⇒Shortest Distance = 72 ( Fordyce-Pine Bluff )
So, By Back tracking , we get
Shortest route be
Camden - Fordyce - Pine Bluff
Shortest Distance be 72 miles
c)
Shortest route between Benton and Arkadelphia
By applying the same method ,
If we start from Benton and by using Pine bluff lane, distance be 62 + 45 + 27 + 38 + 12 = 184 miles
And
If we start from Benton and by using Malvern lane, distance be 23 + 28 + 21 = 72 miles
So,
Shortest Route be -
Benton - Malvern - Sharidan - Arkadepia
Shortest distance be 72 miles
d)
Shortest route between Fordyce and Malvern
By applying the same method ,
If we start from Malvern and by using Benton lane, distance be 23 + 62 + 45 = 130 miles
And
If we start from Malvern and by using Sharidan lane, distance be 28 + 21 + 12 + 38 + 27 = 126 miles
So,
Shortest Route be -
Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden - Fordyce
Shortest distance be 126 miles
e)
Shortest route between Benton and Camden
By applying the same method ,
If we start from Benton and by using Pine Bluff lane, distance be 62 + 45 + 27 = 134 miles
And
If we start from Benton and by using Malvern lane, distance be 23 + 28 + 21 + 12 + 38 = 122 miles
So,
Shortest Route be -
Benton - Malvern - Sharidan - Arkadepia - Gurden - Camden
Shortest distance be 122 miles
Plot and connect the points A (-4, -5), B (-2, -3), C (4, -3), D (6, -2), E (6, 6), F (-1, 6), G (-4, 2), and find the length of EF.What is it in units
Answer:
The length EF is 7 units.
Step-by-step explanation:
The length between the points E and F, using the plot below, is:
[tex]\bar{EF}=7\: u[/tex]
Therefore the length EF is 7 units.
I hope it helps you!
How to graph absolute value functions?
Answer:
DJthresh
ugh yet the wasn't Hagel
6n blocks of clay are shared among 14 students. Write and algebraic expression for the number of blocks of clay that each student will get
Answer:
6n ÷ 14
Step-by-step explanation:
the blocks are shared among the people.
Write an equation to show how many times greater the value of a 5 in the tens place is than a 5 in the tenths place
Plz help I will give brainliest
Answer:
Should be the second and third ones. If you multiply the values together, 3/4s will equal 3/16 and 3/32 with the other value.
Use a net to find the surface area of the prism.
7 cm
10 cm
5 cm
Answer:
10 cm i think
Step-by-step explanation:
but i dont know.
Consider a system of two linear equations in two variables. If the graphs of the equations are not the same line, is it possible for the system to have infinitely many solutions. Explain.
Answer:
No
Step-by-step explanation:
Solutions to systems of equations are points at which the lines of the equations intersect. Knowing this, only equations representing the same line would have infinitely many solutions because they would intersect at every one of each other's points - they're the exact same line. Therefore, if they are not the same line, they would not intersect at each and every point, and would not have infinitely many solutions.
What is 6 - 8? Please provide answers with the - sign.
PLEASE HELP ME!
Answer: -2
Step-by-step explanation: 6-6=0, and 0-2= -2, so that is how i got my answer
Answer:
-2
Step-by-step explanation:
6 - 8 = -2
please mark as brainliest
What decimal is equivalent to 9/12?
Answer:
0.75
Step-by-step explanation:
Complete the division to convert the fraction to a decimal. You can reduce the fraction to lowest terms first to make the long division math a bit easier. For example, 9/12 = 9 ÷ 12 = 0.75.
An aluminum cube measures 8 cm on
each edge. Aluminum weighs 2.7 grams
per cubic centimeter. How much does
the cube weigh?
Please help fast this is due in the morning
Answer: 1380 g
Step-by-step explanation: volume of cube is 8 ·8 · 8 cm³ = 512 cm³.
Weight m = density × volume = 2.7 g/cm³ x 512 cm³= 1382.4 g
what’s the answer to this question
Step-by-step explanation:
I can't see the question. please resend picture
what is 3⋅(3 to the 4)=3x
solve x
Hello, my name is Zalgo, and I would be honored to help you out on this Fantastic Friday. The answer to your question would be that X=81. (if you want/need the , it will be down below).
I hope this all helps you out and I hope you have a nice day.
"Stay Brainly and stay proud!" ~ Zalgo
In order to get the answer, first calculate the product for [tex]3*(3^4)=3x[/tex] which will get you [tex]3^5=3x[/tex].
Then you'll want to divide both sides of the equation by 3, taking you from [tex]3^5=3x[/tex] to [tex]3^4=x[/tex].
After that, you need to evaluate the power, so now you have went from [tex]3^4=x[/tex] to 81=x.
And the final step would be to switch the sides of the equation. So instead of ending with 81=x, you'll end with x=81.
Members of a baseball team raised $1141.75 to go to a tournament. They rented a bus for $880.50 and budgeted $23.75 per player for meals. Determine the number of players the team can bring to the tournament.
Please help me with 1,2,3,show me how you get the answers and show me the steps for 1,2,3,please do not send me link write it right here please
Answer:
Step-by-step explanation:
1. ok so you need to use Pythagoras which is a^2 + b^2 = c^2
substituting 16 and 12 into 'a' and 'b' you get 16^2 + 12^2 = c^2
256 + 144 = c^2
400 = c^2 (square root each side to get ride of the square)
c = 20cm
2. doing the same thing you get c = 22.36 in
3. again doing it you get c = 15Ft
Hope this helps!
If $42,000 is invested at 7% in a savings account for 8 years, what is the final amount monthly and continuously?
Answer:
7,000
Step-by-step explanation:
so I think u divide $42,000 by 8 and then by 7%.
yea
Kenny wants to learn how to serve overhand in volleyball. When he practiced yesterday, he made 7 serves over the net for every 2 serves that did not go over the net.If Kenny attempted 36 serves yesterday, how many serves did he make over the net?
Answer: 28
Step-by-step explanation:
Given
Kenny made 7 serves over the net for every 2 serves that did not go over the net i.e. success rate of Kenny is
[tex]\Rightarrow \text{success rate}=\dfrac{7}{2+7}\times 100=\dfrac{700}{9}\%[/tex]
for 36 serves, applying the same success rate, it is
[tex]\Rightarrow \text{success rate}=\dfrac{700}{9}\times\dfrac{1}{100}\times 36=28[/tex]
Serves that did not make over the net is [tex]36-28=8[/tex]
Thus, Kenny will make 28 serves that make over the net
Abdul deposited $460 into a savings account that has a simple interest rate of 3.5%. Isaac deposited $550 into a savings account that has a simple interest rate of 2.8%. Who earned more interest in one year?
Answer:
Adbul earned more interest
Step-by-step explanation:
3.5% of 460 = 16.1
2.8% of 550 = 15.4
Adbul earned more interest
Please Help!!!! need it just right now
Answer:
A. y = x² + 12x - 8Step-by-step explanation:
The u-shaped function should have:
positive leading coefficienteven degreeThe only function with mentioned parameters is:
y = x² + 12x - 8Correct option is A
The other options don't fit:
B. Even degree with negative leading coefficientC. Odd degreeD. Odd degreethe length of a rectangle is 2 inches less than 3 times it width . The perimeter of the rectangle is 124 inch. WHat is the length of the rectangle
Step-by-step explanation:
let w = width
length = 3w-2
perimeter = 2*length + 2*width
perimeter = 2(3w-2) + 2w
perimeter = 6w - 4 + 2w
perimeter = 8w - 4
perimeter = 124 inch
8w - 4 = 124inch
+4 to each side
8w = 128inch
divide each side by 8
w = 16
length = 3w-2
= 3(16) - 2
length = 46 inch
The sum of the ages of mr a and mr z is 65 years. the difference of their ages is 7 years.what are their ages
Answer:
29, and 36
Step-by-step explanation:
65-7= 58
58/2= 29
29+7= 36
Answer:
29 and 36
Step-by-step explanation:
65 split in two since there are 2 people is 32.5
Since there is a 7 year difference, split 7 in half also which is 3.5
Subtract 3.5 from 32.5 to get the younger ones age and and add 3.5 to 32.5 to get the older one's age.
32.5-3.5= 29
32.5+3.5= 36